The nth term of a different arithmetic sequence is 3n + 5
(b) Is 108 a term of this sequence? Show how you get your answer.

The speed at which Erin drove from the given parameters was calculated as; 35 mph

Let Erin's speed rate be X. Now, since it took erin 21 miles, then;

Erin's time = 21/X

Now, erin's speed was 10 mph faster than Brent's speed. Thus;

Brent's speed = (X - 10) mph

Thus, Brents time = 15/(x - 10)

Now, since they took the same time, then we know that;

21/x = 15/(x - 10)

15x = 21x - 210

6x = 210

x = 210/6

x = 35

Thus, Erins speed = 35 mph

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Answer:

x^{2} -3x=46

Step-by-step explanation:

First, we know that the area of the rectangle is L x W.

[tex]L= x+2\\W= x-5\\(x+2) * (x-5)=56[/tex]

So, we would get [tex]x^{2} -5x+2x-10[/tex]=56

[tex]x^{2} -3x=46[/tex]

Answer:

y=mx+c

Finding the y-intercept by substituting the given points into the equation.

y=mx+c

2=5(0)+c

2-5=c

-3=c

Now, the equation is:

y=5x-3

Answer:

1/4 or 0.25in

Step-by-step explanation:

If you mean that 3/4 and 1/3 is lenght and width then:

3/4 x 1/3=1/4

1/4=0.25

1/4in^2

The surface area of the figure is 720 square inches

The surface area of a figure is the sum of all the area of its faces.

For the given diagram, it consists of 2 triangular faces and 3 rectangular faces

Surface area= (5 * 24) + 2(13*12) + 24 * 12

Surfacee area = 120  + 312 + 288

Surface area = 720 square inches

Hence the surface area of the figure is 720 square inches

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Answer:

the answer should be 3.85 that they pay each

Step-by-step explanation:

Because if you add 12.15 (Taharka + Lamari) and 3.85, it equals 16. The 3.85 comes from 16.00 - 12.15

Answer:24/3/7/5 = 8/ 35 ≅ 0.2285714

Step-by-step explanation:

Divide: 24/3: 7 = 24/3· 1/7

= 24 · 1/3 · 7

= 24/21

= 3 · 8/3 · 7= 8/7

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 7/1 is 1/7) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 3 gives 8/

7

.

In other words - twenty-four thirds divided by seven = eight sevenths.

Divide: the result of step No. 1 : 5 = 8/7 : 5 = 8/7 · 1/5

= 8 · 1/7 · 5

= 8/35

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 5/1

is 1/5

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - eight-sevenths divided by five = eight thirty-fifths.

Answer:

No, the mayor cannot conclude that 90% of residents favor the expansion.

Step-by-step explanation:

The sample taken is from the employees that will work on the highway, but we need to know the resident's opinion. The workers will have a different opinion than the average person, so this is not an accurate conclusion.

Answer:

115.395 min

Step-by-step explanation:

First we find the volume of 6 cm of water. We use the formula:

[tex]\pi *radius^2 *height[/tex]

[tex]\pi *35^2*6 = 23,079 cm^3[/tex]

1 L/min = 1000 cm^3 / min

0.2 L/min = 200 cm^3 /min

[tex]\frac{23,079}{200} = 115.395 min[/tex]

Answer:

No for all of them

Step-by-step explanation:

2 --> not even

3 --> of the sum of the numbers are not divisible by three

4 --> the last two digits are not equal to a multiple of four

5 --> the last digit is not ending with 0 or 5

9 --> the sum of the digits is not equal to a multiple of nine

10 --> the last number is not zero

Answer:

C

Step-by-step explanation:

pls tell me if im wrong

Answer:

$3.52

There are two ways you can solve this problem.

1. Take 5 cents off before multiplying.

Since the coupon takes 5 cents off per pound, you can subtract 5 cents off 49 cents.

$0.49-$0.05= $0.44

Now multiply $0.44 by the 8 pounds.

$0.44 (8) = $3.52

2. Take the 5 cents off after multiplying

You can multiply the 5 cents by 8, to find the total money off the bananas. Then subtract that from the total cost.

$0.49 (8) = $3.92    -> Total cost with no coupon

$0.05 (8) = $0.40    -> Total money off

Subtract the two totals.

$3.92 - $0.40 = $3.52

Answer:

I believe the answer is 3.42.

Answer:

48

Step-by-step explanation:

To calculate the area of a composite shape you must divide the shape into rectangles, triangles, or other shapes you can find the area of and then add the areas back together. You may have to calculate missing lengths before finding the area of some of the shapes.

I split it into a square and a trapezoid

The area of the square is 6x5 = 30

The area of the trapezoid is

A=a+b

2h=3+6

2·4=18

So add the area together

30+18= 48

Answer:

B

Step-by-step explanation:

Standard form of a polynomial is when the terms are order from highest exponential power to lowest exponential power. The choice you chose has the highest exponential power of 1, and a leading coefficient of 1. You are incorrect. The correct answer would be the second choice of:

[tex]5 {x}^{2} + 6x - 7[/tex]

This polynomial is in standard form, and has a leading coefficient of positive 5.

The time it take for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.

Pendulum is the body which is pivoted a point and perform back and forth motion around that point by swinging due to the influence of gravity.

The time period of pendulum is time taken by it to complete one cycle of swing left to right and right to left.

The equation models the horizontal distance of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, is given as,

[tex]d = 11 \cos\left( \dfrac{8\pi}{5}t\right)[/tex]

At the maximum position, the time period is zero. Thus,

[tex]\dfrac{8\pi}{5}t=0\\t=0[/tex]

At the minimum position, the period equal to the π. Thus,

[tex]\dfrac{8\pi}{5}t=\pi\\t=\dfrac{5}{8}\\t=0.625[/tex]

This time is for one side of motion. The time for swing from its rightmost position to its leftmost position and back again is,

[tex]t=0.625+0.625\\t=1.25\rm\; s[/tex]

Thus, the time it take for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.

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Answer:

C:1.25

Step-by-step explanation:

Answer:

Ah cgej4

YTL bebekte gt ydd

Step-by-step explanation:

(8=6'+)9*3-6

Supplementary angles are angles that sum up to 180 degrees

∠A and ∠B are supplementary angles

Find ∠B

Therefore ∠B is 138 degrees

Answer:

∠B = 138

Step-by-step explanation:

Suplementary means = 180 soooo

180=(2x-24)+(5x-27)

180=7x-51

231=7x

x=33

B=5x-27

5(33)-27= 138

Answer:

180

Step-by-step explanation:

The answer is 180 because 20 nickels make a dollar and you do 20x9 and that equals to 180

Answer:

$180 nickels

Step-by-step explanation:

9x 20= 180

Answer:

closed circle means 10 is a possible answer

m is greater or equal to 10

it's the 1st and 4th options

Step-by-step explanation:

Answer:

m ≥ 10 and it's a closed circle that is a possible answer.

Step-by-step explanation:

Rules:

Open circle: < (going left) or > (going right)

Closed circle: ≤ (going left) or ≥ (going right)

Here, we have a closed circle at 10, going right (≥).

Therefore, the correct answers are: m ≥ 10 and it's a closed circle that is a possible answer.

This means that m is equal to 10, or any value that is greater than 10.

Hope this helps!

Answer:

Explanatory variable (independent variable)

Response variable (dependent variable)

(a) As the class wondered if they could predict the father's height, when they know the son's height

Explanatory variable = son's height

Response variable = father's height

(even though this is contrary to real-life, where the father's height would be used to predict the son's height)

(b) **see first attachment**

(c)  The association is positive since the father's height increases as the son's height increases.

(d)  **see second attachment**

Outlier = Paul  (64.5, 73)

This point is far away from the majority of points on the scatter plot.

If we add a regression line to the scatter plot, we can see that this data point is the farthest from the regression line.

Answer:

3-is 85

2- is 95

4-95

Step-by-step explanation:

for 1 is 85

85-180=95

Answer:

by using bodmas rule

to solve this problem

Step-by-step explanation:

=3^-6/3^-4

=3-2-4

=-3

Answer:

x = 22.6 degrees

Step-by-step explanation:

The triangle is a right triangle which means that you can use trigonometry to find the values for each angle.

cos(x) = opposite / hypotenouse.

So cos(x) = 12/13.

You can then solve using a calculator and find that the angle is 22.6 degrees.

Answer:

range = 11

Step-by-step explanation:

the range is the difference between the largest and smallest value in the data set.

largest value = 18 , smallest value = 7 , then

range = 18 - 7 = 11

11 is the range of the data 8,9,7,11,18,13

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The given data is 8,9,7,11,18,13​

Eight comma nine comma seven comma eleven comma eighteen comma thirteen.

The range in statistics for a given data set is the difference between the highest and lowest values.

Largest value is 18

Lowest value is 7

Range=Largest value-Lowest value

=18-7

=11

Hence, 11 is the range of the data 8,9,7,11,18,13

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#SPJ2​

Answer:

The answer is given in the picture

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT

Step-by-step explanation:

also provide box plot..

Answer:

[tex]\huge\boxed{\bf\: \frac{1}{3}\rightarrow probability}[/tex]

Step-by-step explanation:

Given,

We are asked to find the probability of choosing a blue marble if they are randomly chosen. Then,

Probabilty of a blue marble

= Number of blue marbles / Total number of marbles

= 2/6

= 1/3

[tex]\rule{150pt}{2pt}[/tex]

Answer:

group like terms and solve