Point B is on line segment AC. Given BC = 10 and AB = 5, determine the lengthAC.Answer: AC= Anyone know how to solve these???

Question:

Solution:

Answer:

Step-by-step explanation:

one dollar of the first day = 3^0

three dollars on the second day = 3^1

nine dollars on the third day = 3^2

twenty-seven dollars on the fourth day = 3^3

Numbers increase 3 times a day, it is an exponential function, powers of 3

The function is going to be:

We have the next given set for distances (in miles) to the nearest for 13airport families:

10, 13, 15, 15, 20, 26, 27, 28, 30, 32, 34, 37, 39

The minimum is the least number value. Then:

Minimum =10

In this case, we have 13 data, so :

- The middle number is the median:

10, 13, 15, 15, 20, 26, 27, 28, 30, 32, 34, 37, 39

Now, the lower quartile is given by the next equation:

Replacing:

The lower quartile is in the fourth position:

Lower quartile = 15

The upper quartile is given by the next equation:

The upper quartile is located in the 11th position:

Upper quartile = 34

The interquartile range is given by:

IQR=upper quartile - lower quartile

IQR=34-15

The interquartile range =19

Recall that the rule of transformation of a point reflected over the y-axis is as follows:

Therefore, the transformed coordinates of the vertices of the triangle are:

Therefore, the image of the triangle is the triangle with the above vertices.

Answer:

Michael earned some Money doing odd jobs last summer and put it in a savings account that earns 13% interest compounded quarterly after 2 years there is 100.00 in the account How much did Michael earn doing odd jobs​?

____________________________________

13% interest compounded quarterly

after 2 years there is 100.00

_________________________________-

interest compounded

A = P(1 + r/n)^nt

A= Final amount

P= Principal Amount

r= interest

n= number of compounding periods (year)

t= time (year)

_____________________

Data

A= 100.00

P= Principal Amount (The question)

r= interest (0.13)

n= number of compounding periods (4)

t= time (2)

_________________

Replacing

A = P(1 + r/n)nt

P = A / ((1 + r/n)^nt)

P = 100.00/ ((1 + 0.13/4)^4*5)

P= 100.00/ (1.0325^20)

P= 52

________________

Michael earns doing odd jobs 52 dollars.

We have four numbers. We have to know that negative numbers are "smaller" than positive numbers, and when numbers are far away from zero are even "bigger".

The least number is -27/36. It is a negative number.

We can also see that we have some fractions. A fraction is a part of "a whole".

So, as we can see 6 is not a fraction. Therefore, 6 is the greatest number from this list.

So we have the least and the greatest: -27/36 and 6, respectively.

We also need to compare 18/40 and 5/20. What fraction is bigger?

In order to compare them, we need to have two fractions with the same denominator. Then, the fraction with the greatest numerator is "bigger" than the other fraction.

Let us see:

If we divide the numerator and the denominator of 18/40 by 2, we have:

18/2 = 9

40/2 = 20

Then, the equivalent fraction is 9/20 (or 9/20 is equivalent to 18/40). Now, we can compare them:

9/20 and 5/20. So, which one is the greatest? The one with the greatest numerator: 9/20.

Our final list is this way, from least to the greatest as follows:

-27/36, 5/20, 18/40 (9/20), 6.

new uniforms = 3

Total amount spent = $486

Amount spent per player = $486 /3 = $162

The greatest number of bags of lunches Mr. Edmonds can make = 40, And , in each bag there will be one apple and one banana chips bag.

In the above question, the following information is given :

Mr. Edmonds wants to pack lunches for the schools field trip where he wants to put the same number of apples and the same number of bananas in each bag of lunches

We are given that,

Number of available bananas chips packs = 40

Number of available apples = 50

We need to find the greatest number of bags of lunches Mr. Edmonds can make

As the pair should be an even number and we have less number of banana chips bags than apples. So the number of lunches which can be packed with equal number of apples and banana chips bags depend on banana chips bags

Therefore, the greatest number of bags of lunches Mr. Edmonds can make = 40

And , in each bag there will be one apple and one banana chips bag.

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The resultant answer from computing P(7,4) from probability and statistics is 840.

So, P(7,4):

This is a permutation and can be calculated as:

Put the values in the given formula:

Therefore, the resultant answer from computing P(7,4) from probability and statistics is 840.

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Since the given equation is

If x = 0, then

Then x = 0 is correct because it gives the same value of y in the table

If x = 2

Since the value of y in the table is 4

Then x = 2 is incorrect

Given:

The point is (-2,3).

The parallel line is y=4x+2.

This is of the form

where slope m=4.

We know that the slope of the parallel lines is equal.

Thus we get the slope m =4 for the required line.

Consider the line equaiton

Substitute x= -2,y=3, and m =4 in the equation to find the value of b.

Adding 8 on both sides of the equation, we get

We get b=11.

Substitute m=4 and b=11 in the equation, we get

Hence the line equation that passes through the point (-2,3) and parallel to y=4x+2 is

=====================================================

Explanation:

mu = 500 = mean

sigma = 100 = standard deviation

We'll need the z score for x = 620

z = (x - mu)/sigma

z = (620-500)/100

z = 1.20

The task of finding P(x > 620) is equivalent to P(z > 1.20)

Use a Z table or a Z calculator to find that

P(Z < 1.20) = 0.88493

which leads to

P(Z > 1.20) = 1 - P(Z < 1.20)

P(Z > 1.20) = 1 - 0.88493

P(Z > 1.20) = 0.11507

This converts to 11.507% and rounds to 11.5%

About 11.5% of the students score higher than a 620 on the SAT.

-------------------------

Another approach:

Open your favorite spreadsheet program. The command we'll be using is called NORMDIST. The template is this

NORMDIST(x, mu, sigma, 1)

If you were to type in [tex]\text{=NORMDIST(620,500,100,1)}[/tex] then you'll get the area under the normal distribution to the left of x = 620

This means [tex]\text{=1-NORMDIST(620,500,100,1)}[/tex] will get us the area to the right of 620. The result of that calculation is approximately 0.11507 which leads to the same answer of 11.5% as found earlier.

When using a spreadsheet, don't forget about the equal sign up front. Otherwise, the spreadsheet will treat the input as text and won't evaluate the command.

-------------------------

Another option is to use a TI83 or TI84 calculator.

Press the button labeled "2nd" in the top left corner. Then press the VARS key. Scroll down to "normalcdf"

The template is

normalcdf(L, U, mu, sigma)

The mu and sigma values aren't anything new here. But the L and U are. In this case L = 620 is the lower boundary and technically there isn't an upper boundary since it's infinity. Unfortunately the calculator wants a number here, so we just pick something very large. You could go for U = 99999 as the stand in for "infinity". The key is to make sure it's more than 3 standard deviations away from the mean.  

So if you were to type in [tex]\text{normalcdf(620,99999,500,100)}[/tex] then the calculator will display roughly 0.11507, which is in line with the other answers mentioned earlier.

As you can see, there are many options to pick from. Searching out "normal distribution calculator" or "z calculator" will yield many free options. Feel free to pick your favorite.

The equations that are equivalent to the formula PV = nRT are  V = nRT/P,  n = PV/RT and R = PVnT. Option B, C and D

From the information given, we have that;

The Ideal Gas law is represented as;

PV = nRT

Given that;

Subject of formula is described as the variable expressed in terms of other variables in an equation.

It is made to stand on its own on one end of the equality sign.

Let's make 'V' the subject of formula

Divide both sides by the coefficient of V which is the variable 'P', we have;

V = nRT/P

Making 'R' the subject of formula, we have

R = PV/ nT

Making 'n' the subject of formula, we have;

n = PV/RT

Hence, the equations are options B, C and D

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The complete question:

In physics, the Ideal Gas Law describes the relationship among the pressure, volume, and temperature of a gas sample. This law is represented by the formula PV = nRT, where P is the pressure, V is the volume, T is the temperature, n is the amount of gas, and R is a physical constant. Which of the equations below are equivalent to the formula PV = nRT? Select all that apply. A. P = VnRT B. V = nRT/P C. n = PV/RT D. R = PVnT E. T = nR/PV

Answer:Pv=NRT

Step-by-step explanation:

Explanation

Step 1

we have a perpendicular line, its slope is

two lines are perpendicular if

replace

so, our slope is 3/2

Step 2

using slope=3/2 and P(-5,2) find the equation of the line

The relation between this two functions is g(x) = -f(x)

This means that g(x) is a reflection of f(x) about the x-axis, that is, a reflection about a horizontal line

start expanding the squared expression using the square of a binomial,

then,

replace in the original function

apply distributive and simplify

Answer:

We know the equation of a line is given by:

where m is its slope and b its interpcetion with y - axis.

We know the slope equation is

If (x₁, y₁) = (-2, -9) and (x₂, y₂) = (2, 11) then replacing in the slope equation

Let:

c = total

a = cost of each book

w = flat shipping fee

Therefore, the total is given by:

where:

b = number of books

The independent variable is:

"b" books

The resulting rational number is √100

Rational numbers:

A rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0.

Given,

Here we have the following list of numbers

√75, -√25, 2√7, √100, √0.36, √0.0144, √3/7 , -√36/49

Now, we need to identify whether these are the rational numbers or not.

AS per the definition of rational number,

When we take the  root for the value √75, we get 8.660 that is a non-whole square root, 8.660 is not a rational number.

The value -√25 takes the negative value so it is not a rational number.

The number 2√7, this one also produce on-whole square root, so this one is not a rational number.

The value of √100 is 10, and it is a rational number.

The value of √0.36 is 0.6 which is less than 0, so it is not a rational number.

The value of √0.0144 is 0.012 which is less than 0, so it is not a rational number.

The value of √3/7 this one also produce on-whole square root, so this one is not a rational number.

The value -√36/49 takes the negative value so it is not a rational number.

Therefore, the rational number is √100.

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Answer:

Explanation:

Given A = (4, 6) B = (2, 8) C = (5, 10)

SImilarly, for A' = (2, 3) B' = (1, 4) C' = (2.5, 5)

Since it is a dilation, AB/A'B' should be the same as BC/B'C', but that is not the case here.

Answer:

y=5x

Explanation:

The slope-intercept form of the equation of a line is:

First, we find the slope of the line by picking two points from the line.

• The points are (0,0) and (3,15).

Next, the line crosses the y-axis at y=0.

Therefore, the y-intercept, b=0.

Substitute m=5 and b=0 into the slope-intercept form:

The equation that gives the proportional relationship of the graph is y=5x.

we are asked to determine the area of a circle with a diameter of 6 cm. To do that we will use the following formula for the area of a circle:

Replacing the value of the radius:

Replacing the value of pi:

Solving the operations:

The probability that x will be greater than 45 is 0.1974.

The 90th percentile of x is 63.3786

Given,

The sample size drawn from  a population = 115

The mean of the sample size = 48

Standard deviation of the sample size = 12

a) We have to find the probability that x will be greater than 45.

Here,

Subtract 1 from p value of the z score when x = 45

Then,

z = (x - μ) / σ

z = (45 - 48) / 12 = -3/12 = -0.25

The p value of z score -0.25 is 0.8026

1 - 0.8026 = 0.1974

That is,

The probability that x will be greater than 45 is 0.1974.

b) We have to find the 90th percentile of x.

Here,

p value is 0.90

Then, z score will be equal to 1.28155

Now find x.

z = (x - μ) / σ

1.28155 = (x - 48) / 12

15.3786 = x - 48

x = 15.3786 + 48

x = 63.3786

That is,

The 90th percentile of x is 63.3786

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Answer:

5x+3

Step-by-step explanation:

Three more than means we add 3

The product of 5 and a number means some number multiplied by 5 call it 5x

so three more than 5x is 5x+3.

We recall that the area of a triangle is defined by the product of the triangle's base times its height divided by 2.

So we notice that in our image, we know the height (6 cm), and we also know the base of the triangle (2 cm)

Therefore the triangles are is easily estimated via the formula:

Then the area is 6 square cm.

In order to sketch the graph we need to find the vertex and two more points to connect with the vertex.

To do so set the inside of absolute value to zero:

The y-coordinate of same is:

So the vertex is (- 3, - 1).

Since the coefficient of the absolute value is positive, the graph opens up, and the vertex is below the x-axis as we found above.

Find the x-intercepts by setting the function equal to zero:

We have two x-intercepts (-4, 0) and (-2, 0).

Now plot all three points and connect the vertex with both x-intercepts.

Now, from the graph we see there is no domain restrictions but the range is restricted to y-coordinate of the vertex.

It can be shown as:

Answer:

Step-by-step explanation:

Given absolute value function:

[tex]f(x)=|x+3|-1[/tex]

The parent function of the given function is:

[tex]f(x)=|x|[/tex]

Graph of the parent absolute function:

Translations

[tex]f(x+a) \implies f(x) \: \textsf{translated $a$ units left}.[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated $a$ units right}.[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated $a$ units up}.[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated $a$ units down}.[/tex]

Therefore, the given function is the parent function translated 3 units left and 1 unit down.

If the vertex of the parent function is (0, 0) then the vertex of the given function is:

⇒ Vertex = (0 - 3, 0 - 1) = (-3, -1)

To find the y-intercept, substitute x = 0 into the given function:

[tex]\implies \textsf{$y$-intercept}=|0+3|-1=2[/tex]

To find the x-intercepts, set the function to zero and solve for x:

[tex]\implies |x+3|-1=0[/tex]

[tex]\implies |x+3|=1[/tex]

Therefore:

[tex]\implies x+3=1 \implies x=-2[/tex]

[tex]\implies x+3=-1 \implies x=-4[/tex]

Therefore, the x-intercepts are (-2, 0) and (-4, 0).

To sketch the graph:

Note: When sketching a graph, be sure to label all points where the line crosses the axes.

The domain of a function is the set of all possible input values (x-values).

The domain of the given function is unrestricted and therefore (-∞, ∞).

The range of a function is the set of all possible output values (y-values).

The minimum of the function is the y-value of the vertex:  y = -1.

Therefore, the range of the given function is:  [-1, ∞).

Answer:

a. The total weight

b. 2 times the weight of Jet

c. The weight of Fido

d. The total weight

Explanation:

We know that Fido weighs 10 pounds more than Jet and together they weigh 46 pounds. So, if j represents Jet's weight, the bar model is:

Now, we can answer each part as:

a. 46 represents the total weight of the small dogs

b. 2j represents 2 times the weight of Jet

c. j + 10 represents the weight of Fido because its weight is the weight of Jet j added to 10.

d. 2j + 10 also represents the sum of the weights of the small dogs.

So, the answers are:

a. The total weight

b. 2 times the weight of Jet

c. The weight of Fido

d. The total weight

The equation that represent the situation is as follows:

The three combination of the gift cards you can purchase is as follows:

The store sells gift cards. One can purchase  gift cards for $20 or $30 .

You spent $380 on gift cards. let x be the number of gift cards for $20 And let y be your gift cards for $30 .

The equation in standard form to represent the situation is as follows:

The standard form of a linear equation is A x + By = C.  A, B, and C are

constants, while x and y are variables.

Therefore,

x = number of gift cards for 20 dollars

y = number of gift card for 30 dollars

Hence,

20x + 30y = 380

The three combination one could have purchased is as follows:

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Answer:

13.6

Step-by-step explanation:

[tex] \frac{3x}{10.2} - 12.4 = - 8.4[/tex]

[tex] \frac{3x}{10.2} = 4[/tex]

[tex]3x = 40.8[/tex]

[tex]x = 13.6[/tex]

the answer is:

Student G earns less money per hour than student F