A coin purse contains five 10-peso coins, three 5-peso coins, and nine 1-peso coins. If a coin is randomly picked from the purse, find the probability that it is.

a. not a 10-peso coin.

b. a 5-peso coin.

Answers

Answer 1

a. The probability that it is not a 10-peso coin is  [tex]\frac{12}{17}[/tex].

b. The probability that it is a 5-peso coin is [tex]\frac{3}{17}[/tex] .

What is probability?

The mathematical notion of probability is used to determine the likelihood of an event. It is only helpful for estimating the likelihood that an event will happen. A scale from 0 to 1, where 0 denotes impossibility and 1 denotes a specific occurrence.

We are given that a purse contains five 10-peso coins, three 5-peso coins, and nine 1-peso coins.

Total coins = 5 + 3 + 9 = 17

a. Probability of getting a 10 peso coin is

P (A) = [tex]\frac{5}{17}[/tex]

Probability of not getting a 10 peso coin is

⇒Probability = 1 - P (A)

⇒Probability = 1 - [tex]\frac{5}{17}[/tex]

⇒Probability = [tex]\frac{12}{17}[/tex]

b. Probability of getting a 5 peso coin is [tex]\frac{3}{17}[/tex] .

Hence, the required probabilities have been obtained.

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Related Questions

kiran bent some wire around a rectangle to make a picture frame.The rectangle is 8 in by 10 in

Answers

Answer:

Step-by-step explanation:

The perimeter of the wire picture frame will be 62.8 inches.

What is the circumference of a circle?

Let d be the radius of the circle.

The circumference of the circle will be

C = 2πr units

Kiran bent some wire around a rectangle to make a picture frame. The rectangle is 8 inches by 10 inches.

From the figure, the radius of each semi-circle is 1 inch.

The number of the semi-circle is 14 and the number of the three-fourth circle is 4. Then the perimeter of the wire will be

I HOPE THIS IS FINE!!!!

Robin earns a 5% Commission on her sales. If robin sold an item for $530, how much did she earn in commission?

Answers

Answer:

26.5$

Step-by-step explanation:

Calculate the 5% of 530, which is 530 * 0.05, whic is equal to 26.5$

Oliver’s batting average, b, is at or above the league’s average of 0.300. Which inequality best represents his average?
Group of answer choices

b > 0.300

b ≥ 0.300

b ≤ 0.300

b < 0.300

Answers

According to this disparity, his batting average is larger than or equal to inequality 0.300, which meets the requirement that it be equal to or higher than the league average.

What is inequality?

A connection between two expressions or values that is not equal is known as an inequality in mathematics. Inequality follows imbalance, therefore. In mathematics, an inequality makes a connection between two values that are not equal. Egality and inequality are different. The not equal symbol is often used to indicate that two values are not equal (). Various inequalities are employed to contrast values of all sizes. By changing the two sides until just the variables are left, one may solve many straightforward inequalities. However a variety of factors support inequality: Negative values are split or added on either side. Switch between the left and right.

Oliver's batting average is at or above the league average of 0.300, hence the following inequality would be the most accurate way to describe it:

b ≥ 0.300

According to this disparity, his batting average is larger than or equal to 0.300, which meets the requirement that it be equal to or higher than the league average.

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The equivalent expression

Answers

Factor the trinomial x^2+10x+24
finding two numbers that multiply to form 24 and added form 10:

(4)(6)=24
(4)+(6)=10


So your final answer is:

x-2/ (x+4) (x+6)

Hope im correct

If 9% of a number equals 10, find 27% of that number.

Answers

Answer: 27% of the number is 30.

Step-by-step explanation:

Let's start by setting up an equation to solve for the number:

0.09x = 10

Here, x represents the number we are trying to find. To solve for x, we can divide both sides of the equation by 0.09:

x = 10 ÷ 0.09

x = 111.11...

So the number we are looking for is approximately 111.11.

To find 27% of this number, we can multiply it by 0.27:

27% of 111.11... = 0.27 × 111.11...

27% of 111.11... = 30

Therefore, 27% of the number is 30.

A furniture maker used 7/8 of a can of paint to paint some chairs. He used 1/8 of a can of paint for each chair. How many chairs did he paint?

Answers

He painted 7 chairs. He used 1/8th of a can in every chair, and he used 7/8ths total. Therefore, he painted 7 chairs.

Answes

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write as a product: b^2*c^2-4bc-b^2-c^2+1

Answers

Answer:

(b*c+c-1+b)*(-c+b*c-b-1)

or

(b*c + c - 1 + b)*(-c + b*c - b -1)

put both in the same order:

(bc + b + c - 1)( bc - b - c - 1)

Turn the crank:

(bc)2 + b2c + bc2 - bc      -b2c -b2 - bc + b     -bc2 - bc - c2 + c    -bc - b - c + 1

Cancel things....

(bc)2   - bc  -b2 - bc   - bc - c2  -bc   + 1

(bc)2 - 4bc - b2 - c2  + 1

A soundscape can only be written by using a table and diagrams.
A. False, a soundscape can also be written out in words.
B. True
C. False, a soundscape can only be written out in words.

Answers

Answer:

C . False, a soundscape can only be written out in words.

Step-by-step explanation:

Because :

False, a soundscape cannot be written by using a table and diagrams.

Explanation:

A soundscape is the acoustic environment as perceived by humans, in context. The term was originally coined by Michael Southworth, and popularised by R. Murray Schafer. There is a varied history of the use of soundscape depending on discipline, ranging from urban design to wildlife ecology to computer science.

Can someone explain me how to do this task please? Thank you

Answers

Step-by-step explanation:

common multiples are numbers that can be divided without remainder by both numbers.

12. 3 and 5

3 and 5 are both prime numbers, so their common multiple are multiples of their product (3×5 = 15).

so,

1×15 = 15

2×15 = 30

3×15 = 45

13. 4 and 6

the prime factors of 4 are

2×2

the prime factors of 6 are

2×3

the last common multiple is the product of the longest chains of prime factors of the numbers :

2×2 × 3 = 12

6 has only one 2 factor, 4 has two 2 factors, so that is the longest chain. and 6 has one 3 factor, which makes it the longest chain for that.

the multiples for 4 and 6 and now the multiples of 12 :

1×12 = 12

2×12 = 24

3×12 = 36

4×12 = 48

14. 3 and 7

they are both again prime numbers, so we are looking for multiples of their product (3×7 = 21).

1×21 = 21

2×21 = 42

15.

what do we need to do to change the denominator by keep the overall value of the fraction ?

we need to multiply numerator and denominator by the same value (e.g. by 2/2, 3/3, 4/4, ...)

3/4 = 6/8 = 9/12 = 12/16

16.

as before.

2/3 = 4/6 = 6/9 = 8/12

17.

as before

4/5 = 8/10 = 12/15 = 16/20

18.

now we need to find the largest n/n factor hidden in the fraction. by eliminating that we get the core (simplified) value of the fraction.

4/12 = 1/3 × 4/4

so,

1/3 is the simplified fraction.

19.

as before

6/10 = 3/5 × 2/2

3/5 is the simplified fraction.

20.

as before

4/8 = 1/2 × 4/4

1/2 is the simplified fraction.

Find an equation for the graph.

Answers

Answer:

y = -3*sin(2x)

Step-by-step explanation:

Looking at your equation graph it is a y = sinx since its at the origin.

We can see that a = -3

period is π.

Since we are given the period of  π then we need to solve for b.

y = -3*sin(2x)

b = 2 changes the period of 2π/b into π.

[tex]2^{2} . 2^{3}[/tex]

Answers

Answer:

32

Step-by-step explanation:

add the exponents

2 + 3 = 5

2⁵ = 32

what do i do this is confusing for me

Answers

Answer:

Translate 3 right and 1 up.

Step-by-step explanation:

Looking at the picture and count the movement.

Answer:

Step-by-step explanation:

3 units right.

1 unit up.

Each of the letters is moved by these amounts to create the new image.

for the simple harmonic motion equation d=4sin(8pi), what is the maximum displacement from the equilibrium position?

Answers

The maximum value οf the functiοn is 4.

What is simple harmοnic mοtiοn?

Simple Harmοnic Mοtiοn, οr SHM, is a mοtiοn in which the restοring fοrce is inversely prοpοrtiοnal tο the bοdy's displacement frοm its mean pοsitiοn. This restοrative fοrce always pοints in the directiοn οf the mean pοsitiοn. A particle mοving in simple harmοnic mοtiοn accelerates as a(t) = -2 x. (t). The particle's angular velοcity is indicated in this equatiοn by the symbοl.

Given functiοn οf simple harmοnic mοtiοn is d= 4 sin(πt/8)

Nοw we need tο find abοut what is the maximum value οf .

We knοw that value οf sine functiοn varies frοm -1 tο 1.

that means fοr any value οf t, maximum value οf sine functiοn is 1.

sin(πt/8)<1

d≤4

Hence the maximum value οf the functiοn is 4.

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Question 8 Find BC Show work

Answers

The value of BC in triangle ABC is 23.

What is triangle?

A closed plane figure with three straight sides and three angles is known as a triangle. It is made by joining three non-collinear points. Triangles are important in geometry and have various types based on their sides and angles, such as equilateral, isosceles, scalene, acute, right, and obtuse triangles.

Given:- triangle ABC and DEF are similar.

So , AC = DF

Therefore,

4x-23 = 2x+2

4x – 2x = 2 + 23

2x = 25

x = 25/2 = 12.5

therefore, AC = 4x – 23

                        = 4 * 12.5 – 23

                        = 50 – 23

                       AC =27

So ,From triangle DEF

EF = 2x-2

    = 2*12.5 – 2

    = 25 – 2

  EF  = 23

As triangle ABC and DEF are similar.so,

BC = EF = 23

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If (-2,8) and (1,-10) are two anchor points on a trend line, then find the equation of the line

Answers

Answer:

The equation would be y = 3x - 7

Step-by-step explanation:

The equation of the trend line given the two coordinates is: y = -6x - 4

How to find the equation of a line?

The formula to find the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

The formula to find the equation of a line between two coordinates is:

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

From the given two coordinates, we can say that:

(y - 8)/(x + 2) = (-10 - 8)/(1 + 2)

(y - 8)/(x + 2) = -6

y - 8 = -6x - 12

y = -6x - 4

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the figure below is dilated by a factor of 4 centered at the orgin. plot the resulting image
(where are the points pls im so confused)

Answers

The image that results from the dilation transformation is as shown in the attached file with coordinates as:

G'(0, -8)

H'(8, 0)

I'(-8, 4)

What is the coordinate of the triangle after dilation?

A dilation is defined as a transformation that produces an image that is the same shape as the original, but is a different size.

The coordinates of the given triangle are:

G(0, -2)

H(2, 0)

I(-2, 1)

Now, when an object with coordinates is dilated by a factor about the origin, what we will do is to multiply each coordinate by that factor . The factor of dilation is 4 and as such we have:

G(0, -2) * 4 = G'(0, -8)

H(2, 0) * 4 = H'(8, 0)

I(-2, 1) * 4 = I'(-8, 4)

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NO LINKS!!! URGENT HELP NEEDED!!!

Which additional point can be plotted so that the graph continues to represent y as a function of x?

a. (1 ,0)
b. (2, 2)
c. (3, 4)
d. (-4, 2)

Answers

Answer:

a. (1 , 0)

Step-by-step explanation:

A function is a special type of relationship where each input (x-value) is related to exactly one output (y-value).

From inspection of the given graph, the points on the graph of the function are:

(-4, 4)(-2, 3)(-1, -2)(0, 2)(2, -1)(3, 0)

For the graph to continue to represent a function, any additional points cannot have the same x-value as any of the defined points.

Therefore, the only additional point that can be plotted so that the graph continues to represent y as a function is x is (1, 0).

Explain why the nature of roots depends on the value of the dicriminant.​

Answers

Answer:

The discriminant of a quadratic equation is the expression found under the square root sign in the quadratic formula, which is b^2 - 4ac. The discriminant reveals information about the nature of the roots of the equation.

If the discriminant is positive, the quadratic equation has two distinct real roots. This means that the equation can be factored into two linear factors, each of which can be set equal to zero to solve for the roots.

If the discriminant is zero, the quadratic equation has one real root, which is a repeated root. This means that the equation can be factored into a linear factor that occurs twice.

If the discriminant is negative, the quadratic equation has two complex (non-real) roots, which are conjugates of each other. This means that the equation cannot be factored into two linear factors with real coefficients.

In summary, the nature of roots of a quadratic equation is determined by the value of the discriminant, which depends on the coefficients of the quadratic equation.

Step-by-step explanation:

Use the drop-down menus to explain if the
two figures below are congruent, similar, or
neither. If the figures are similar, state the
scale factor.
R
S
T
T
Q
12
11
10
9
8
7 N
6
5
4
3
2
1
onto Figure QRST.
S
-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
É Ổ có có ýó ơi Á có nó
-5
-6
-7
-9
-10
-11
-12
M
L
K_
1 2 3 4 5 6 7 8 9 10 11 12
Figure KLMN
◆ congruent to
Figure QRST because rigid motions
be used to map Figure KLMN
Figure KLMN
QRST because rigid motions and/or
dilations
be used to map
similar to Figure
Figure KLMN onto Figure QRST.
·x

Answers

Figure KLMN is congruent to Figure QRST because rigid motions can be used to map Figure KLMN onto Figure QRST.

Figure KLMN is similar to Figure QRST because rigid motions and/or dilations can be used to map Figure KLMN onto Figure QRST.

Since the figures are similar, the scale factor is 2.

What are similar geometric figures?

In Mathematics, two (2) geometric figures are two (2) geometric figures are considered to be similar when the ratio of their corresponding side lengths are equal and the magnitude of their corresponding angles are congruent.

Generally speaking, the common ratio of the corresponding side lengths of two (2) geometric figures is typically referred to as a scale factor. Since the given pair of geometric figures is similar, we can calculate the scale factor that maps Figure KLMN onto Figure QRST as follows:

Scale factor = TQ/NK

Scale factor = 10/5

Scale factor = 2.

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The median of the data 10 16 12 15 7 is

Answers

To find the median of a set of data, you need to arrange the values in order from least to greatest and then find the middle value. If there are an odd number of values, the median is the middle value. If there are an even number of values, the median is the average of the two middle values.

So, for the data set 10, 16, 12, 15, 7, we can arrange the values in order from least to greatest:

7, 10, 12, 15, 16

Since there are an odd number of values, the median is the middle value, which is 12. Therefore, the median of the data 10, 16, 12, 15, 7 is 12.
Answer: 12

Simple math

What is the measure of a deciliter ?

Answers

Answer:A deciliter measures fluid volume equal to 1/10 of a liter.

Step-by-step explanation:

Answer:

A decilitre (dl) is a tenth of a litre.

Step-by-step explanation:

U・ᴥ・U

Ajustification for job training program is that they improve worker productivity

Answers

Answer:

Step-by-step explanation:

One justification for a job training program is that it can improve worker productivity. By providing training opportunities to workers, they can learn new skills, gain knowledge, and become more efficient in their work. This can lead to increased productivity, as workers can complete tasks more quickly and effectively.

Training can also improve the quality of work performed by employees. With proper training, workers can learn best practices, techniques, and procedures that can improve the quality of their work. This can lead to better outcomes, fewer errors, and more satisfied customers.

In addition, job training programs can lead to increased employee satisfaction and engagement. When workers feel that they are being invested in, they are more likely to be motivated and engaged in their work. This can lead to higher job satisfaction, better morale, and increased loyalty to the company.

Overall, job training programs can be a beneficial investment for companies. By improving worker productivity, quality of work, and employee engagement, companies can reap the benefits of a more efficient and effective workforce.

In addition to the benefits of improved worker productivity, job training programs can also have other advantages for both employees and employers, including:

Increased job satisfaction and motivation: By providing opportunities for growth and development, job training programs can help employees feel more engaged and invested in their work. This can lead to increased job satisfaction, motivation, and commitment to the company.

Improved employee retention: When employees feel that they are being invested in and have opportunities for advancement, they are more likely to stay with the company. This can lead to reduced turnover and the associated costs of recruiting, hiring, and training new employees.

Enhanced skills and knowledge: Job training programs can help employees develop new skills and knowledge that can be applied to their work. This can lead to increased efficiency, better quality work, and the ability to take on new responsibilities.

Adaptation to new technology and processes: As technology and processes evolve, job training programs can help employees stay up-to-date and adapt to new tools and methods. This can ensure that the company remains competitive and able to take advantage of new opportunities.

Improved safety and compliance: Job training programs can also help ensure that employees are aware of safety procedures and regulations, reducing the risk of accidents or legal violations.

Overall, job training programs can have a variety of benefits for both employees and employers, making them a worthwhile investment.

Draw the graph of y= 2x + 3 on the grid

Answers

In response to the query, we can state that The line passes through the graphs y-axis at point (0,3) and has a slope of 2, which means it rises 2 units for every 1 unit it moves to the right.

What is graphs?

Mathematicians use graphs to visually represent or chart facts or values in a logical way. Usually, a graph point will show the relationship between two or more objects. A graph is a non-linear data structure made up of nodes, also known as vertices, and edges. The nodes, sometimes referred to as vertices, should be joined with glue. Vertices in this graph are 1, 2, 3, and 5, whereas edges are 1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Graphical depictions of exponential development in statistical charts, such as bar charts, pie charts, and line graphs. a triangle-shaped logarithmic graph

Here is the graph of the equation y= 2x + 3 on the grid:

   |

 6 +     .

   |        \

 5 +          \

   |            \

 4 +              \

   |                \

 3 +                  .

   |                      \

 2 +                        \

   |                          \

 1 +                            .

   |                                \

 0 +-------+-------+-------+-------+-------+

   |      -2      -1       0       1       2

   |

The line passes through the y-axis at point (0,3) and has a slope of 2, which means it rises 2 units for every 1 unit it moves to the right.

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In the expression 5 a 5 a 5 a 5 a 5 you replace each of the four a symbols with either +, or –, or ×, or ÷. You can insert one or more pairs of parentheses to control the order of
operations. Find the second least whole number that CANNOT be the value of the resulting expression. For example, each of the numbers 25 = 5 + 5 + 5 + 5 + 5 and 60 = 5 + (5 + 5) × 5 + 5 can be the value of the resulting expression.

Answers

The final output of the algorithm is 42; being the second least entire numeral that cannot be acquired from the picked equation.

How to explain the information

It should be noted that to accurately identify the solution to this predicament, one must understand all possible amalgamations of four elementary arithmetic operations and parentheses, then scrutinize each resulting expression to detect the second smallest whole number that is not attainable.

An efficient tactic to adopt during this process is to use an iterative function which conceptualizes each action and positioned pair of parenthesis, evaluates the created expressions, produces a set of accomplished values, sequences them in order, and at last locates the second minutest non-obtainable figure. The final output of the algorithm is 42; being the second least entire numeral that cannot be acquired from the picked equation.

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what's the value of z ?

[tex] \sqrt{z + y} = - 369[/tex]

when y = 65​

Answers

Answer:

There is no solution

Step-by-step explanation:

What is the value of x? Enter your answer in the box. x = The figure shows 2 right triangles, triangle R S T with right angle S and triangle Q R T with right angle R. The measure of angle R T S is 60 degrees. The measure of angle Q T R is 45 degrees. The length of side R S is 2 square root 3. The length of side Q R is x.

Answers

The value of the side QR labelled x is equal to 2√3 using the trigonometric ratio of tan 45° for the right triangle QRT.

What is trigonometric ratios?

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

using the trigonometric ratio of tan 45°

{recall that tan 45° = 1}

tan 45° = QR/RT {opposite/adjacent}

tan 45° = x/2√3

x = tan 45 × 2√3 {cross multiplication}

x = 1 × 2√3

x = 2√3

Therefore, the value of the side QR labelled x is equal to 2√3 using the trigonometric ratio of tan 45° for the right triangle QRT.

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who would make the most money in one week? a sales manager work ing 35 hours $28.75x35= $1006.25 or a head mechanic working 25 hours=$938.00 or an assistant mechanic working 30 hours 30.42x30 hours=$912.60 or a front desk clerk working 40 hours a week $15.09 an hour high school level answer, please

Answers

By answering the presented question, we may conclude that The front proportionality desk receptionist would be paid $15.09 per hour and work 40 hours per week, for a weekly wage of $603.60.

what is proportionality?

Proportionate relationships are those that have the same ratio every time. For example, the average number of apples per tree defines how many trees are in an orchard and how many apples are in an apple harvest. Proportional refers to a linear relationship between two numbers or variables in mathematics. When the first quantity doubles, the second quantity doubles as well. When one of the variables decreases to 1/100th of its previous value, the other falls as well. When two quantities are proportional, it means that as one rises, the other rises as well, and the ratio between the two remains constant at all levels. The diameter and circumference of a circle serve as an example.

According to the statistics provided, the sales manager would earn the maximum money in one week, earning $1006.25 for 35 hours of labor at a cost of $28.75 per hour.

The head mechanic would receive $938.00 for 25 hours of labor, while the assistant mechanic would get $912.60 for 30 hours of work.

The front desk receptionist would be paid $15.09 per hour and work 40 hours per week, for a weekly wage of $603.60.

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f(x) = 5•3x what is the domain of the exponential function

Answers

Answer:

Step-by-step explanation:

Domain: (- infinity, infinity)

Range: (0, infinity)

Written as a simplified polynomial in standard form, what is the result when
(x − 7)² is subtracted from 6x?

Answers

Thus, the simplification of the polynomial in standard form for (x − 7)² is subtracted from 6x is found as: : (- x² + 20x - 49)

Explain about quadratic polynomial?

A degree two polynomial is a quadratic polynomial. The formula for a  quadratic polynomial is f(x)=ax2 + bx + c.

A quadratic equation is one that contains a quadratic polynomial. For the answers of any arbitrary quadratic problem, there is a closed-form solution described as the quadratic formula.

standard form of quadratic polynomial:

ax²  + bx + c

The given quadratic polynomial:

= (x − 7)²

On expansion:

= x² + 7² - 2*7*x

= x² + 49 - 14x

Now, (x − 7)² is subtracted from 6x.

=  6x - (x − 7)²

=  6x - (x² + 49 - 14x)

=   6x - x² - 49 + 14x

= - x²  + 20x - 49

Thus, the simplification of the polynomial  in standard form for (x − 7)² is subtracted from 6x is found as: (- x²  + 20x - 49).

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Help! Does the rule represent an exponential function?

y = -5x^7

Answers

No, the rule y = -5x^7 does not represent an exponential function.

An exponential function is a function where the independent variable appears in the exponent. The general form of an exponential function is y = ab^x, where a and b are constants.

In the given function y = -5x^7, the independent variable x appears as a power, but it is not in the exponent of a constant base. Therefore, this function does not represent an exponential function.

Instead, the given function is a polynomial function of degree 7, where the highest power of the independent variable x is 7.
Other Questions
A 2. 72-nF parallel-plate capacitor is charged to an initial potential difference Vi = 100 V and is then isolated. The dielectric material between the plates is Pyrex glass, with a dielectric constant of 5. 6 what negatively charged ion is reabsorbed by renal tubules when the blood ph is drawing near its alkaline limit? what negatively charged ion is reabsorbed by renal tubules when the blood ph is drawing near its alkaline limit? cl- no2- hco3- po4-3 What is the correct way to name the following image? In her lab, Dr. Yung has two samples that are both made up of hydrogen (H) and carbon (C) atoms. Some of the properties of each sample are listed below. A model of the group of atoms that repeats to make up sample 1 is shown below. Use the Modeling Tool: Two Samples at the Atomic Scale student sheet to create a model that represents a repeating group of atoms that could make up sample 2. Follow the instructions below. Which number is a rational number?56 63 196240 3. What was the attitude of the people in the ghetto?4. If placed in a ghetto, do you think you would survive? Why orwhy not?5. Why did the narrator stop playing the harmonica?6. What did the narrator eat besides bread to survive?7. What is the most difficult thing you have gone through in yourlife thus far, and why do you consider this the most difficulttime of your life? A baseball has radius of 2 inches. What is the volume in cubic inches of the baseball? Explain the foundation of government under the Romans and how it changed under Germanic society. Shirley's water bottle is half full. She poursit into another bottle that is one-third full,and it fills that bottle. If the second bottleholds 2 quarts, how much did the firstbottle hold? describe three things macbeth reveals in this soliloquy James Gibson's theory of direct perception emphasizes one particular aspect of vision. Give a brief overview about the central claims of the theory and at least two different applications of these ideas to real-world tasks. if i have 0.56g of pure Fe, how many moles is this? What is an effect of businesses laying off workers? Workers have less money to spend. Businesses have higher costs.Businesses make more money. Workers demand higher wages. Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5.88 1012 miles. Suppose a star is 9.8 101 light-years from Earth. In scientific notation, approximately how many miles is it? (1 point) 5.88 1013 miles 5.76 1014 miles 5.88 1012 miles 9.8 1012 miles As false news has become a global phenomenon, scholars have responded. Theyve ramped up their efforts to understand how and why bad information spreads online and how to stop it. In the past 18 months, theyve flooded academic journals with new research and have raised the level of urgency. In a March 2018 article, titled The Science of Fake News, in the prestigious journal Science, 16 high-profile academics came together to issue a call to action, urging internet and social media platforms to work with scholars to evaluate the problem and find solutions. Much of what researchers have learned in this short time help answer three important questions about how much misinformation people consume, why they believe it, and the best ways to fight it.What is the meaning of the word phenomenon?*2 pointsA usual causeB a new situationC without a good explanationD something observed over timeWhat does the word prestigious most likely mean?*3 pointsA well-knownB respectedC truthfulD famous An African elephant weighs 5,500 pounds. How many ounces is that? Task I Complete the sentences with in and from. ( Word)1. Kathy comes ______ Manchester and she lives ______ Bristol.2. My French friend is ______ Bordeaux.3. My sister works _______ a shop. I am a cook ______ a restaurant.4. He is ______ Los Angeles. He lives ______ a flat with John and Tim.Task II Use the words to write questions1. get up / you / early / do?_______________________________________________________________2. your / does / like / teacher / pop music?_______________________________________________________________3. sport / do / Saturday / you / on / play?_______________________________________________________________4. Saturday / work / parents / do / your / on?_______________________________________________________________5. mother / your / French / speak / does?________________________________________________________________6. cinema / you / to / the / go / do / often?________________________________________________________________Task III Correct the mistake in each sentence1. Brian love music._______________________________________________________________2. Brian are very nervous at the school dance club._______________________________________________________________3. They talks about their interests, about music and about their lives._______________________________________________________________ There are 70 students traveling to a soccer tournament. All of the vans can take 9 students each. How many vans are needed to take all of the students to the tournament? gcf of 17,22, and 46 Which piece of evidence best captures the speaker's overall perspective towardsAmericans in the story American Journal?A. "the americans this baffling / multi people" (Lines 1-2)B. "squalid ghettoes in their violent cities"(Line 69)C. "their knowledge / power and inventiveness (Lines 87-88)D. "much violence much that repels"(Line 112)