Leyla and her sister Maryam are excited to begin saving for a new bike they can share. Their aunt said that if they saved up enough money, she would split the cost with them and pay for half. The new bike will cost $110 total.

The girls concluded that they would have just enough if they saved the money from 2 days’ worth of Leyla’s paper route and 3 days’ worth of Maryam’s dog walking job. Maryam has to work a little more because her dog walking job pays $5 less than Leyla’s paper route. How much do the paper route and dog walking jobs each earn per day?

The explicit equation for the function is: f(x) = 8(1.5)^(x - 1)

Given that we have the table of values

x f(x)

0 8

1 12

2 18

3 27

We can see that the function is a geometric function

So, the common ratio is

r = 12/8

r = 1.5

The explicit equation for the function is then calculated as

f(x) = ar^(x - 1)

So, we have

f(x) = 8(1.5)^(x - 1)

Hence, the explicit function is f(x) = 8(1.5)^(x - 1)

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Answer:

The value of tan A: 40/9

i.e.

tan A = 40/9

Step-by-step explanation:

Given

Hypotenuse = 41

To determine

m ∠ A = ?

Using the trigonometric ratio

tan A = opposite / adjacent

Here:

Thus, substituting opposite = 40 and adjacent = 0 in the equation

tan A = opposite / adjacent

tan A = 40/9

Therefore, the value of tan A: 40/9

i.e.

tan A = 40/9

The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

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The volume of the rectangular prism is 24 times larger than the volume of the cube.

Let's start by representing the dimensions of the cube as "x," so its volume would be \(x^3.\)

The dimensions of the rectangular prism can be represented as "2x," "3x," and "4x," so its volume would be \((2x)(3x)(4x) = 24x^3.\)

Now, we need to find out how many times larger the volume of the rectangular prism is compared to the cube.

To do this, we can divide the volume of the rectangular prism by the volume of the cube:

\((24x^3)/(x^3) = 24\)

So, the volume of the rectangular prism is 24 times larger than the volume of the cube.

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A ball is thrown from an initial height of 6 feet with an initial upward velocity of 40ft/s . The ball's height h(in feet) after t seconds is given by the following. h=6+40t-16t^2 Find all values of t for which the ball's height is 28feet. Round your answer(s) to the nearest hundredth.

Answer:

B

Step-by-step explanation:

please give brainiest I am in need of it

Answer:

The answer is D

Step-by-step explanation:

Step-by-step explanation:

Multyply 5/3 to 3/5. these cancel them out. Do the same to the other side (23/5)5/3

When you find the answer to (23/5)5/3,

It will be h=(that answer)

Please make this the brainlyest!

Two closed container with ball having the diameter of 60 mm, the container having the smaller surface area is Container B.

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface.

We have the diameter of the ball as 60 mm

In container A we can see it is a cylinder:

Therefore, the four balls will give us the height of cylinder as

(4x60 = 240mm)

Area of cylinder is given as = 2πrh

A = 2 π (30) (240)

A = 45,239 mm²

In container B we can see it is a cube:

Length = 120 mm

Area of cube  = 6a²

A = 6(120)²

A = 86,400 mm²

After comparing both the container square we can say that the Container B has more surface area than the container A.

86,400>45,239.

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If a₁ = 9 and aₙ = 4 + (aₙ - 1) in an arithmetic sequence, then the value of fifth term a₅ is equal to 25.

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

From the information provided, we know that the common difference is equal to 4.

Substituting the given parameters into the formula, we have;

a₅ =  9 + (5 - 1)4

a₅ =  9 + 4(4)

a₅ =  9 + 16

a₅ =  25

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Complete Question:

If a₁ = 9 and aₙ = 4 + (aₙ - 1), then find the value of a₅.

Step-by-step explanation:

let the larger number=n

then the smaller number=½n

We conclude from the question that

n+½n=75

3/2n=75

3n=150

n=150/3=50

Therefore the larger number=50 and the smaller number=½×50=25

The answer for the fraction 1/4 of 100 is 25.

Given,

The fraction; 1/4

We have to find the 1/4 of 100.

Fraction;

A fraction is referred to as the portion of a whole in mathematics. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers.

There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions

Here,

1/4 of 100 = 1/4 x 100 = 25.

That is,

The answer for the fraction 1/4 of 100 is 25.

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the given series is divergent. Hence, the correct option is The series is divergent.

The Integral Test is used to determine whether a series is convergent or divergent. The test is applied when the terms of the series can be represented by a continuous, positive, decreasing function on an interval starting at a specific number. To determine whether the series is convergent or divergent, the following steps can be followed: Determine whether the function is continuous, positive, and decreasing on the interval [1,∞). If the function is continuous, positive, and decreasing on the interval [1,∞), calculate the integral of the function from 1 to ∞. If the integral is finite, then the series is convergent. If the integral is infinite, then the series is divergent. Now, applying the Integral Test to the given series:9 n= 1 5 dx 0 of this series can be represented as an integral in the form of a function f(x) that is continuous, positive, and decreasing on the interval [1,∞):f(x) = 5 / integral of f(x) from 1 to ∞∫1∞ f(x) dx = ∫1∞ (5 / x) dx= 5 [ln x]1∞= 5 [ln ∞ - ln 1]= ∞Since the integral is infinite, the series is divergent. Therefore, the given series is divergent. Hence, the correct option is The series is divergent.

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The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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Answer:

The answer is 39

Step-by-step explanation:

75 + 3 = 78

78/2 = 39

Answer:

g=2 i hope this helps

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have a good day.

Extra people required is 50.

Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Question 1 :

Number of associates = 30

Number of direct workers = 30 - 2 = 28

You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.

Direct rate = 150 units per hour

Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week

                                                            = 37.5 hours per week

Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units

28 people produce 5625 units in a week

Let x people produce 10,000 + 5625 = 15,625 units in a week

Using proportion,

28 : 5625 = x : 15,625

28 / 5625 = x / 15,625

x = (28 × 15,625) / 5625 = 77.78 ≈ 78

Extra people required = 78 - 28 = 50

Question 2 :

Number of sandwiches made in 10 minutes = 1

Number of sandwiches made in 10 hours = 60

5 workers are there. one worker makes 60/5 = 12 sandwiches

But Deli want number of sandwiches in 10 hours = 75

One worker should make 75/5 = 15 sandwiches instead of 12.

Number of sandwiches made in 8 minutes should be 1.

So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.

Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.

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Answer:

answer is a

Step-by-step explanation:

Describe the end behavior of the given function.

$(-) = 0) – 2

O A. As x decreases, (x) approaches 2.

OB.

As x decreases, Ax) approaches negative infinity.

OC. As xincreases, fx) approaches infinity.

OD. As x increases, Ax) approaches -2

Answer:

C.

Step-by-step explanation:

(Use desmos graphing calculator to graph it...)

Answer: 3

x

−

2

y

−

15

=

0

Explanation:

We know that,

the slope of the line  

a

x

+

b

y

+

c

=

0

is  

m

=

−

a

b

∴

The slope of the line  

2

x

+

3

y

=

9

is  

m

1

=

−

2

3

∴

The slope of the line perpendicular to  

2

x

+

3

y

=

9

is  

m

2

=

−

1

m

1

=

−

1

−

2

3

=

3

2

.

Hence,the equn.of line passing through  

(

3

,

−

3

)

and

m

2

=

3

2

is

y

−

(

−

3

)

=

3

2

(

x

−

3

)

y

+

3

=

3

2

(

x

−

3

)

⇒

2

y

+

6

=

3

x

−

9

⇒

3

x

−

2

y

−

15

=

0

Note:

The equn.of line passing through  

A

(

x

1

,

y

1

)

and

with slope

m

is

y

−

y

1

=

m

(

x

−

x

1

)3

x

−

2

y

−

15

=

0

Explanation:

We know that,

the slope of the line  

a

x

+

b

y

+

c

=

0

is  

m

=

−

a

b

∴

The slope of the line  

2

x

+

3

y

=

9

is  

m

1

=

−

2

3

∴

The slope of the line perpendicular to  

2

x

+

3

y

=

9

is  

m

2

=

−

1

m

1

=

−

1

−

2

3

=

3

2

.

Hence,the equn.of line passing through  

(

3

,

−

3

)

and

m

2

=

3

2

is

y

−

(

−

3

)

=

3

2

(

x

−

3

)

y

+

3

=

3

2

(

x

−

3

)

⇒

2

y

+

6

=

3

x

−

9

⇒

3

x

−

2

y

−

15

=

0

Note:

The equn.of line passing through  

A

(

x

1

,

y

1

)

and

with slope

m

is

y

−

y

1

=

m

(

x

−

Explanation:

the equation of a line in  

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

rearrange  

2

x

+

3

y

=

9

into this form

⇒

3

y

=

−

2

x

+

9

⇒

y

=

−

2

3

x

+

3

←

in slope-intercept form

with slope m  

=

−

2

3

Given a line with slope then the slope of a line

perpendicular to it is

∙

x

m

perpendicular

=

−

1

m

⇒

m

perpendicular

=

−

1

−

2

3

=

3

2

⇒

y

=

3

2

x

+

b

←

is the partial equation

to find b substitute  

(

3

,

−

3

)

into the partial equation

−

3

=

9

2

+

b

⇒

b

=

−

6

2

−

9

2

=

−

15

2

⇒

y

=

3

2

x

−

15

2

←

equation of perpendicular lineExplanation:

the equation of a line in  

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

rearrange  

2

x

+

3

y

=

9

into this form

⇒

3

y

=

−

2

x

+

9

⇒

y

=

−

2

3

x

+

3

←

in slope-intercept form

with slope m  

=

−

2

3

Given a line with slope then the slope of a line

perpendicular to it is

∙

x

m

perpendicular

=

−

1

m

⇒

m

perpendicular

=

−

1

−

2

3

=

3

2

⇒

y

=

3

2

x

+

b

←

is the partial equation

to find b substitute  

(

3

,

−

3

)

into the partial equation

−

3

=

9

2

+

b

⇒

b

=

−

6

2

−

9

2

=

−

15

2

⇒

y

=

3

2

x

−

15

2

←

equation of perpendicular line

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x - 3y + 9 = 0 ( subtract 2x + 9 from both sides )

- 3y = - 2x - 9 ( divide terms by - 3 )

y = \(\frac{2}{3}\) x + 3 ← in slope- intercept form

with slope m = \(\frac{2}{3}\)

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{2}{3} }\) = - \(\frac{3}{2}\)

Since the equation passes through the origin then y- intercept is zero , that is c = 0

y = - \(\frac{3}{2}\) x ← equation of perpendicular line

Answer: i believe the answer is 113.1 square feet

Step-by-step explanation: pi times 30

Answer:

f(5)=-7

Step-by-step explanation:

f(5) is where the point on the graph that has x coordinate of 5.

(5, y)

If you look at the graph, at five, it  has a y value of -7

The value of function f (5) is -7.

Here,

Given that;

The graph of function.

We have to find the value of f (5).

What is Function?

A function is defined as a relation between a set of inputs having one output each.

Now,

By graph it is clear that;

For function f (5), 5 is on the x- axis.

And the value of f (5) is on the y- axis.

Hence, The value of function f (5) is -7.

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Answer:

C

Step-by-step explanation:

Im going to be quick on this since your in a hurry, is AB is 3 and QR = 1  and their similar then BC would be 3 times the amount of RS which is 1.5 so the Answer is 4.5

Answer:

C

Step-by-step explanation:

　　＿＿＿　 AA

*～/■　■　⊂ P

　 |　■　■.（＿）

　 U U￣￣U U

Answer:

5a + 9b

Step-by-step explanation:

Combine like terms

9a + 6b - 4a + 3b

- 4a + 9a = 5a

6b+3b=9b

so 5a+9b

Answer:

= 5a+9b

Step-by-step explanation:

hope this helps :)

Answer:

1. A. 12a^2 + 8a + 4

2. C. 4xy+16x-4y^2-16y

3. C. 64q^6r^8s^4

4. A. -4x^4y^6

Step-by-step explanation:

48a^3 + 32a^2 + 16a / 4a = (48a^3) / 4a + (32a^2) / 4a + (16a) / 4a = 12a^2 + 8a + 4.

So, the answer is A. 12a^2 + 8a + 4.

(2x-2y)(2y+8) = 4xy - 4y^2 + 16x -  16y.

So, the answer is C. 4xy+16x-4y^2-16y.

(-8q^3 * r^4 * s^2)^2 = (-8)^2 * q^6 * r^8 * s^4 = 64q^6r^8s^4.

So, the answer is C. 64q^6r^8s^4.

-12x^8y^8 / 3x^4y^2 = (-12 / 3) * (x^(8 - 4)) * (y^(8 - 2)) = -4x^4y^6.

So, the answer is A. -4x^4y^6.

Hope this helps!

Answer:

61÷2= 30.5

3 pounds of pears would cost $30.5

Step-by-step explanation:

Answer:

1

when using a quadratic ration 1 is the formatted answer

Step-by-step explanation:

Just use your brain and stop comin for brainly for the answer because half of the answers are not correctAnswer:

Step-by-step explanation:

12 ft wide

The cost per square foot = $2

The cost to recarpet the room = $312

length of the room = 13 feet

width = ?

First, we need to find the number of squre foot that will amount to $312

Since $2 = 1 ft²

$132 = 132/2

$132 = 156 square foot

square foot indicates we are dealing with area

Area of room = length × width

Area of the room = 156 square foot

156 = 13 ft × width

width = 156 ft²/13 ft

width = 12 ft

The room is 12 ft wide

ANSWER

Melanie uses 31 and a half pencils per hour

EXPLANATION

If she uses 14 pencils in 4/9 of an hour, we want to find how many pencils does she use in 1 hour: