Keith wants to rent a boat and spend less than $69. The boat costs $7 per hour, and Keith has a discount coupon for $8 off. What are the possible numbers of hours Keith could rent the boat?
Use t for the number of hours.
Write your answer as an inequality solved for t.

The answer is -√125

Step-by-step explanation:

-√125 does not simplify to an integer as -√125 = -5√5

Answer:

6 units

Step-by-step explanation:
To find out how far apart two points are on a graph, we must count the spaces that separate them along the x and y axis

Counting on the x-axis, Point A is 2 units to the left of Point B

On the y-axis, Point A is 4 units below Point B.

Add the two to get the total units

The pool's new dimensions will be 10cm by 5cm, where 1 centimeter equals 5 meters.

So, scaling is a technique for resizing an object. It can either enlarge or decrease the size of the object.

Making a scale drawing of the pool in which 1cm equals 5 meters, that is:

The length:

Subtraction of both expressions 1 and 2:

In terms of width:

Obtain new width:

Therefore, the pool's new dimensions will be 10cm by 5cm, where 1 centimeter equals 5 meters.

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The correct question is given below;
A rectangular swimming pool measures 50 meters in length and 25 meters in width. Make a scale drawing of the swimming pool where 1 centimeter represents 5 meters.

are the three items that need to be addressed in the coding quality plan that will help achieve the KPI of 98 accuracy.

KPI:

KPI = Key Performance Indicator

A performance indicator or key performance indicator is a type of performance measurement. It basically evaluate the success of an organization or of a particular activity in which it engages.

Given,

Here we need to find the 3 items that need to be addressed in the coding quality plan that will help achieve the KPI of 98 accuracy.

The following are the 3 major pillars that are helps to achieve the KPI of 98 accuracy.

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Answer: look at the screenshot

[tex]\%( \alpha ) = \frac{cardinality( \alpha )}{cardinality( \omega) } \times 100 \\ [/tex]

[tex]\%(pennies) = \frac{12}{60} \times 100[/tex]

[tex]\%(pennies) = \frac{1}{5} \times 100 = \frac{100}{5} = 20 \% \\ [/tex]

Answer:

20%

Step-by-step explanation:

The total number of times 7 can occur as the sum on rolling two cubes for 180 times is 30. It is gained by applying the knowledge of probability to the given problem.

What is probability?

Probability depicts the number of possibilities of how many times an event can occur. The probability of happening of an event invariably lies between 0 and 1. For a sure event, it is always 1. Its formula is given as P(E) = No. of favourable outcomes / Total no. of outcomes

Calculation of the total number of times 7 can appear as a sum on rolling two cubes for 180 times

Number of cubes rolled = 2

Total number of outcomes on rolling two cubes = 36

Total possibility of getting 7 as sum = 6

The probability of getting 7 as a sum on rolling two dice only once is given by P(E1)

P(E1) = 6 / 36

         = 1 / 6

She repeated the process 180 times  so the needed probability, P(E) is obtained by multiplying 180 by P(E1)

P(E) = 180 × (1 / 6)

P(E) = 30

Hence, the required probability of getting 7 as the sum is given by 30.

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The coordinates of the vertices of the reflected image are

A' ( 6,5) , B' ( 5,1), C' ( 8,2)

given that

a triangle has vertices A ( -6,5 ) , B (-5, 1) , C( -8,2 )

it is reflected over Y axis

we have to find the coordinates of the vertices of the reflected image

since it is reflected over Y axis then only the sign of x coordinates changes

the rule for a reflection over the Y axis is (x, y) -> ( -x , y)

the y coordinate in this case is unchanged

the vertices changes and it become

A( -6, 5) -> A' ( 6,5)

B ( -5, 1) -> B' ( 5,1)

C ( -8,2) -> C' ( 8,2)

preimage of coordinates attached below

Hence the coordinates of the vertices of the reflected image are

A' ( 6,5) , B' ( 5,1), C' ( 8,2)

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Answer:

linear

Step-by-step explanation:

y is always 1 behind x

Answer: $22

Step-by-step explanation:

47- 25= 22

The temperature at an altitude of 11,000 feet will be 47.6°F

From the question, we are to calculate the temperature at an altitude of 11,000 feet

From the given information,

There is a 1.1°F drop in temperature for every thousand feet

and

The temperature on the ground is 59.7°F

Now,

We are to determine the temperature at an altitude of 11,000 feet

Since the temperature  drops by 1.1°F for every thousand feet,

Then,

At an altitude of 11,000 feet, the temperature would have dropped by 1.1°F 11000/1000 times

That is, the temperature would have dropped by that magnitude 11 times

Thus,

The temperature at an altitude of 11,000 feet = 59.7°F - 11×1.1°F

The temperature at an altitude of 11,000 feet = 59.7°F - 12.1°F

The temperature at an altitude of 11,000 feet = 47.6°F

Hence, the temperature at an altitude of 11,000 feet will be 47.6°F

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Answer:

(a)  3.5

(b)  x = 4

(c)  -¹/₂

(d)  -¹/₂

Step-by-step explanation:

f(1) is the value of y when x = 1.

To find the value of y from a given value of x, find the position of x on the x-axis, then trace vertically until you meet the line. Once you meet the line, trace horizontally to the y-axis to find the corresponding value of y.

Therefore, f(1) = 3.5.

To solve f(x) = 2, find the value of x when y = 2.

To find the value of x from a given value of y, find the position of y on the y-axis, then trace horizontally until you meet the line. Once you meet the line, trace vertically to the x-axis to find the corresponding value of x.

Therefore, the solution of f(x) = 2 is x = 4.

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Given interval:  2 ≤ x ≤ 4

Therefore:

[tex]\implies \dfrac{f(4)-f(2)}{4-2}=\dfrac{2-3}{4-2}=-\dfrac{1}{2}[/tex]

The average rate of change between any interval of the given function will be the same as the graph is linear.  Therefore, the average rate of change from 0 to 8 is the same as the rate found in part (c):  -¹/₂.

Proof

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Given interval:  0 ≤ x ≤ 8

Therefore:

[tex]\implies \dfrac{f(8)-f(0)}{8-0}=\dfrac{0-4}{8-0}=-\dfrac{4}{8}=-\dfrac{1}{2}[/tex]

Answer:

I think it’s 6x^3 + 16x^2 - 4x

After simplify of this equation 2x (3x + 4) - (3x ² + 8x - 2). We get, the two factors which are +√(-2/3), -√(-2/3).

Given Equation:

2x (3x + 4) - (3x ² + 8x - 2)

2x (3x + 4) - 3x ² - 8x + 2

6x² + 8x - 3x ² - 8x + 2

3x ² + 2

To find the factors

3x ² + 2 = 0

x ² = -2/3

x = ±√(-2/3).

Therefore, the factors of given equation are +√(-2/3), -√(-2/3).

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correlation coefficient,r = 0.5497

Standard Error,[tex]SE_{r} = 0.1477[/tex]

Dopamine, also known as DA or 3,4-dihydroxyphenethylamine, is a neuromodulatory chemical with a variety of crucial functions in cells. It is an organic substance that belongs to the phenethylamine and catecholamine families. About 80% of the catecholamines in the brain are made up of dopamine. It is an amine produced by removing a carboxyl group from a molecule of L-DOPA, which is used as a precursor and is produced in the kidneys and brain. Plants and the majority of animals can produce dopamine as well. Dopamine performs the role of a neurotransmitter in the brain, which is a substance secreted by neurons (nerve cells) to communicate with other nerve cells. Although neurotransmitters are only produced in some parts of the brain, they have a systemic impact on numerous areas.

Let the random variable, X = % of dopamine receptors blocked and Y= subject's ratings of cocaine high.

The correlation coefficient, r

Given:

[tex]SS_{XY}[/tex] = 957.5

[tex]SS_{X}[/tex] = 8145.441

[tex]SS_{Y}[/tex]= 372.5

The correlation coefficient between the variables, X and Y is obtained using the following formula,

[tex]r=\frac{SS_{XY} }{\sqrt{SS_{X} \times SS_{Y} } }[/tex]

[tex]r=\frac{957.5 }{\sqrt{{8145.441} \times372.5 } } }[/tex]

r = 0.5497

The standard error for the estimate of the correlation coefficient is obtained using the following formula,

[tex]SE_{r} = \sqrt{\frac{1-r^{2} }{n-2} }[/tex]

From the scatterplot, the sample size, n = 34

[tex]SE_{r} = \sqrt{\frac{1-(0.5497)^{2} }{34-2} }[/tex]

[tex]SE_{r}=0.1477[/tex]

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Answer:

4x^2−5x+11

Step-by-step explanation:

combine like terms

Answer:

62-4=58

April is 58 much warmer than December and 62 is the farthest from 0

Answer:

I Can only tell you the temperature part, sorry...

Step-by-step explanation:

Basically 62 is actually farther away, and essay writers stink

I'm a bumblebee who likes to eat KFC - Ash the Fox

Answer:

Hi, it's 8^9

Step-by-step explanation:

[tex]8^5\cdot \:8^4\\8^5\cdot \:8^4=8^{5+4}\\8^{5+4}\\=8^9\\[/tex]

the probability that one of the three will be elected = [tex]\frac{19}{30}[/tex]

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a certain event will occur.

As per the question, it is given that :

Probability of John (A) = [tex]\frac{1}{8}[/tex]

Probability of Beth (B) = [tex]\frac{2}{5}[/tex]

Probability of Avery (C) = [tex]\frac{1}{3}[/tex]

The probability that one of the three will be elected :

P(A) * P(B') * P(C') + P(A') * P(B) * P(C') + P(A') * P(B') * P(C) = P(A) * (1 - P(B)) * (1 - P(C)) + (1 - P(A)) * P(B) * (1 - P(C)) + (1 - P(A)) * (1 - P(B)) * P(C).

here, P(A) = Probability of A happening

        P(A') = Probability of A not happening

= [tex](\frac{1}{8} * \frac{3}{5} * \frac{2}{3}) + (\frac{7}{8} * \frac{2}{5} * \frac{2}{3}) + (\frac{7}{8} * \frac{3}{5} * \frac{1}{3})[/tex]

= [tex]\frac{1}{20} + \frac{7}{30} + \frac{7}{20}[/tex]

= [tex]\frac{3 + 14 + 21}{60}[/tex]

= [tex]\frac{38}{60}[/tex]  =  [tex]\frac{19}{30}[/tex]

Therefore, the probability that one of the three will be elected = [tex]\frac{19}{30}[/tex]

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The equation: [tex]\frac{x^{2}}{6^{2}}={y^{2}+z^{2}[/tex],  represents a circle with radius r = y = x/6, and the surface that results is a cone, as obtained with the help of surface of revolution.

Now,

If we consider the point (6y, y, 0) in the xy plane, it appears to be a circular path that is a cone when the curve is rotated about the x axis. The cone's equation takes the following form:

[tex]\frac{x^{2}}{c^{2}}=\frac{y^{2}}{a^{2}}+\frac{z^{2}}{b^{2}}[/tex]

Given that x = 6y, we square x = 6y to give the equation the form shown above, which results in:

x² = (6y)²

x² = 36y²

Circular paths go parallel to the y-axis, hence the equation should be circular in nature. 36z² needs to be added, so:

x² = 36y² + 36z²

=> [tex]\frac{x^{2}}{6^{2}}={y^{2}+z^{2}[/tex]

Hence, This equation represents a circle with radius r = y = x/6, and the surface that results is a cone, as obtained with the help of surface of revolution.

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Answer:

The Answer is -3x+15

Answer:

Step-by-step explanation:

25= (3x+10)

25-10 =

15=3x

15/3= 3x/3

5=x

Answer:

x = -3

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

Answer:

The root of 27 would be 5.196

Step-by-step explanation:

Answer:

3/25

Step-by-step explanation:

0.12 multiplied by 100 equals 12

which means 12/100 is 0.12

now simplify

6/50

3/25

Answer:

x= -2

Step-by-step explanation:

A square number is the result when a number has been multiplied by itself

Answer C :

[tex](5 {}^{ - 3} ) {}^{6} = 5 {}^{ - 3 \times 6} = 5 {}^{ - 18} = \frac{1}{5 {}^{18} } [/tex]

Answer:

C is correct.

Step-by-step explanation:

(5^-3)^6

= 5 ^(-3*6)

= 5^-18

= 1 /5^18.

Answer:

4725 Students

Step-by-step explanation:

First, multiply 4500 by 0.05 (which is 5% in decimal format.) You should get 225. Next, add 225 to the original value of 4500; you should get the answer, which is 4725 :)

Answer:

4725 Students

Step-by-step explanation:

To find the total enrollment of the community college this year, all we have to do is add the previous year's enrollment to 5% of the same value.

So...

Previous enrollment: 4500

5% of Previous enrollment = 0.05 * 4500 = 225

This year's enrollment = 4500 + 225 = 4725

So the final answer is 4725 students.

Answer: Enlargement with a scale factor 4

Step-by-step explanation:

      Since shape B is four times as long as shape A, this is an enlargement with a scale factor of 4.

      What is scale factor?

Scale factor is a ratio between the original and transformed objects. Here, it is 4.

Answer:

Each person would get 80% of a bag

We can conclude that 10 percentage of the students voted for yellow.

Total number of students = 738 + 82 = 820

As we can notice that total number is 820 and the number of students that voted for yellow is 82.

So, 82/820 = 10%

Therefore, we can conclude that 10 percentage of students voted for yellow.

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