**Answer:**

28

**Step-by-step explanation:**

2 x 7 = 14

Number should be in between 26 and 31

So,

14 x 2 = 28

28 has one of its prime factors as 2 and 7.

Hence,

28 is the number which is in between 26 and 31 it has the prime factors of 2 and 7.

**Answer:**

**Step-by-step explanation: Given prime factors: 2, 7**

** By multiplying, 2 X 7= 14**

** Given, number is between 26 and 31**

** therefore, 14 X 2= 28 (since 2 is a prime factor)**

** ans: 28**

** **

Rotate the shape as described.

The ordered pair for A' is

. The ordered pair for B' is

. The ordered pair for C' is

. The ordered paid for D' is

By applying a **rotation** of 90° **clockwise** to square ABCD, we have the following:

A **rotation** is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be **clockwise** or counterclockwise direction.

In Mathematics, **rotating** a point 90° about the origin in a **clockwise** or counterclockwise direction would produce a point that has the **coordinates** (y, -x).

By applying a **rotation** of 90° **clockwise** to square ABCD, the **coordinate** of the image of square A'B'C'D' is given by:

(x, y) → (y, -x)

Points at A = (-3, 5) → Points at A' = (5, -(3)) = (5, -3)

Points at B = (-7, -2) → Points at B' = ((-2), -(-7)) = (-2, 7).

Points at C = (-8, 8) → Points at C' = (8, -(-8)) = (8, 8).

Points at D = (-4, 10) → Points at D' = (10, -(-4)) = (10, 4).

Read more on** rotation **here: https://brainly.com/question/28515054

#SPJ1

The steps at the right show cam's works in solving an equation. Circle the line where he makes a mistake. Then, find the correct solution to the equation.

The correct solution to the **equation** is -13.

-12x + 12 = -3(5x + 8)

Split the right-hand side,

-12x + 12 = -15x + 24 (This line have error, instead of + there will be - )

Shifted the values of x to the left-hand side and the constant values to the right-hand side,

3x + 12 = 24

3x = 12

x= 4, which is the incorrect value of x.

The correct solution to the equation,

-12x + 12 = -3(5x + 8)

Split the right-hand side,

-12x + 12 = -15x - 24

Shift the values of x to the **left-hand** side and the constant values to the **right-hand** side,

3x = -36

The final value of x,

x = -13

Therefore, the value of x is -13.

Learn more about the **linear equation** at

https://brainly.com/question/17538485?referrer=searchResults

#SPJ1

HELP ASAP NEEDS TO BE TURNED IN TONIGHT

**Answer:**

y= 2x + 9

**Step-by-step explanation:**

The answer would be Y = 2x + 9

Need help solving these questions!! thank you :)

**Answer:**

1. 25+5c

2. -8y-16

3. (m+1)^9

4. -6a-15

5. 4y+12z

6. (2a+3b)^4

7. 23c

8. 8y+7x

9. 14a+16

10. 16m+16n

48,384 - 2,904 divided by 48,384 multiplied by 100

Correct answer is

48377.9980159

48377.9980159

Find the future value, using the future formula and a calculator. (Round your answer to the nearest cent.)$901 at 3.5% compounded semiannually for 6 years

To calculate the future value we need to use the compound formula:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]where P is the principal, r is the interest rate in decimal form, n is the number of times the interest is compound in any given time t.

In this case we have that P=901, r=0.035 and since the interest is compound semiannually this means that n=2. Finally t=6. Plugging this values into the equation above we have that:

[tex]\begin{gathered} A=901(1+\frac{0.035}{2})^{2\cdot6} \\ A=1109.53 \end{gathered}[/tex]**Therefore the future value would be $1109.53**

Find the Properties to graph this Rational Expression. DO NOT GRAPH. If an answer is "none" type in "none" for the answer blank. Make sure to type in your Asymptotes correctly(x=y=)F(x)=-4x+8/x^2-x-2Need to answer:Hole:(___,___)Vertical asymptote:______X-intercept:(___,___)Y-intercept:(___,___)Horizontal asymptote:____

Given data:

The given expression is f(x)= (-4x+8)/(x^2 -x-2).

The hole of the graph is** x=2.**

The expression for the vertical asymptode is,

[tex]x=-1[/tex]The expression for the horizontal asymptode is,

[tex]y=0[/tex]There is no x-intercept, and y-intercept is,

[tex](0,\text{ -4)}[/tex]Thus, the

Evaluate : (12.5)³

find the answer

**Answer:**

1953.125

**Step-by-step explanation:**

(12.5)³

= 12.5 × 12.5 × 12.5

= 1953.125

**Answer: **1953.125

(12.5)³

so 12.5 multiplied to itself thrice

12.5x12.5x12.5

which is 1953.125

How can you justify that the function is

exponential?

**Answer:**

Since the y axis is increasing at an exponential rate. You can see that it goes from 0.06 to 0.125 to 0.25. If you were to graph that it would be a exponential curve. You can see that it jumps alot.

0.0625 to 0.0625*2 to 0.0625*2*2 to 0.0625*2*2*2

Elena drank 3 liters of water yesterday. Jada drank 3/4 times as much

water as Elena. Lin drank twice as much water as Jada.

1. How much water did Jada drink?

2. How much water did Lin drink?

liters

liters

Elena: 3 Liters

Jada: 3 x 3/4 = 2.25 Liters

Lin: 2 x 2.25 = 4.5 Liters

Jada: 3 x 3/4 = 2.25 Liters

Lin: 2 x 2.25 = 4.5 Liters

y + 8 < -9 solve for y please i need help im a smart student i just need a bit of help

**Answer:**

the answer is y<-17

**Step-by-step explanation:**

This is actually just like algebra.

y+8<-9

y<-9-8

y<-17

slope -4; passes through (2, 3)

**Answer: y = -4x + 11**

**Step-by-step explanation:**

y = mx + b

3 = -4(2) + b

3 = -8 + b

11 = b

A spherical balloon is inflated so that its volume is increasing at the rate of 12 cubicfeet per minute. How fast is the radius of the balloon increasing when the radius is 6feet?

Given:

The rate of change in volume = 12 cubic feet per minute.

We need to find the rate of change of radius at radius = 6 feet.

Consider the formula to find the volume of the sphere.

[tex]V=\frac{4}{3}\pi r^3[/tex]Differentiate with respect to t.

[tex]\frac{dV}{dt}=\frac{4}{3}\pi\times3r^2\times\frac{dr}{dt}[/tex][tex]\text{ Substitute }\frac{dV}{dt}=12\text{ and r=6 in the formula.}[/tex][tex]12=\frac{4}{3}\pi\times3(6)^2\times\frac{dr}{dt}[/tex][tex]12=144\pi\times\frac{dr}{dt}[/tex]Dividing both sides by 144pi, we get

[tex]\frac{12}{144\pi}=\frac{dr}{dt}[/tex][tex]\frac{dr}{dt}=\frac{1}{12\pi}[/tex][tex]\frac{dr}{dt}=\frac{1}{37.68}=0.0265\text{ feet per minute}[/tex]**Hence the radius of the balloon increases by 0.03 feet per minute.**

What’s the answer plss

The length of the** opposite side **XY = 15.2cm

**How to calculate the opposite side XY?**

From the **right- triangle XYZ**,

** **[tex]sin \theta =\frac{opposite}{hypotenuse}\\\\sin 61 ^\circ=\frac{XY}{XZ} \\\\XY = sin 61 ^\circ *XZ\\\\XY = 0.875* 17.4 \\\\XY = 15.2cm[/tex]

The length of the** opposite side XY = 15.2cm**

**What is opposite side of a right-triangle?**

To learn more about **opposite side, **refer:

https://brainly.com/question/14598493

#SPJ13

a textbook store sold a combined total of 392 biology and psychology textbooks in a week. the number of psychology textbooks sold was 48 less than the number of biology textbooks sold. how many textbooks of each type sold?

Number of biology book **sold** are 223.

Number of psychology books sold are 183.

What is equation?In algebra, an **equation** is a declaration of equivalence that includes one or more variables or unknowable quantities.

Given Data

A textbook store sold a combined total of 392 biology and psychology textbooks in a week. the number of psychology textbooks sold was 48 less than the number of biology textbooks sold.

Let number of biology books **sold** be x

Let number of psychology books sold be (x- 48)

**Total** book sold = 392

392 = x + x - 48

392 + 48 = 2x

446 = 2x

x = 223

**Number** of biology book sold are 223.

Number of psychology books sold are 183.

To learn more about **equation**, visit:

**https://brainly.com/question/10413253**

#SPJ10

The cost of manufacturing a cake is directly proportional to the volume of the cake.

The baker makes a 70% profit when he sells a large rectangular cake.

The baker sells a large rectangular cake for £6.80 The baker decides to sell smaller rectangular cakes.

The length, width, and height of the smaller cakes are all half of those of the large rectangular cake.

He sells a pack of 6 of the smaller cakes for £6.50

How much profit does he make on the pack of smaller cakes?

**Answer:**

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

GivenLarge cake:

Price = £6.80,Profit = 70%Small cake:

Number = 6,Price = £6.50,Dimensions = each side is 1/2 of the large cakeSolutionThe **profit **is the difference of the cost and selling price.

Find the **cost **x of large cake:

Find the **volume of the pack of smaller cakes,** taking the volume of the large cake as a unit:

**Cost of the pack of smaller cakes** is proportional to the volume:

**Profit **made on smaller cakes:

Assume that each circle shown below represents one unit. Express the shaded

amount as a single fraction and as a mixed number.

Shaded portion in **single** **fraction** is [tex]\frac{37}{10}[/tex] and **mixed number** is 3[tex]\frac{7}{10}[/tex] .

**What is difference between fraction and mixed number?**

**Single fraction** is represented as ** **[tex]\frac{p}{q}[/tex]** ** form where p is numerator and q is denominator and value of q can't be zero. Example [tex]\frac{5}{9}[/tex] .

**Mixed number** contains two part one is an integer and other is fractional part. It is represented as *N *[tex]\frac{p}{q}[/tex]*.* Example 5[tex]\frac{1}{2}[/tex] .

According to figure, one shaded circle is equal to one unit and one shaded circle contain 10 sector.

There are three shaded circle and a circle with 7 sector shaded.

So, Total shaded area in single fraction = 1 + 1 + 1+ [tex]\frac{7}{10}[/tex] = [tex]\frac{37}{10}[/tex]

and total shaded area in mixed number = 1 + 1 + 1 + [tex]\frac{7}{10}[/tex] = 3 + [tex]\frac{7}{10}[/tex] = 3[tex]\frac{7}{10}[/tex] .

Hence, shaded portion in **single** **fraction** is [tex]\frac{37}{10}[/tex] and **mixed number** is 3[tex]\frac{7}{10}[/tex] .

To learn more about **fraction** using the link below

https://brainly.com/question/17220365

#SPJ9

f(x)= 3x; translation up 5 units

After applying the given **translation **we get the function as 3x + 5

Graph **translation **is the process of converting an **equation **or existing graph into a new graph.

One common type of **algebraic **issue is changing **algebraic **equations.

A parent function's graph is altered by a **translation**. The three different types of **translation **are **dilations**, **reflections**, and **translations**.

A **function **can have its y-values modified vertically or its x-values changed horizontally (affects the x-values).

We are aware that the x- and y-coordinates must be modified to reflect the **translation **by the specified amount.

f( x ) = 3x is **translated **5 units upwards.

Therefore the required graph is f ( x ) = 3x + 5 .

To learn more about **translation **visit:

brainly.com/question/12463306

#SPJ1

PLEASE HELP DUE IN 4 MINUTES, THANK YOU!!

**Answer:**

**A 100% increase in a total means the final amount is 200% of the initial amount.**

**A 100% decrease in a total means the final amount is 0% of the initial amount.**

**Error means that you were a way off from the real value**

**Step-by-step explanation:**

In ΔTUV, UV = 14, VT = 19, and TU = 9. Which statement about the angles of ΔTUV must be true?

In **ΔTUV**, UV = 14, VT = 19, and TU = 9, The statement about the **angles **of **ΔTUV **that must be true is [tex]m \angle U > m \angle T > \angle V[/tex] **Option 5**

This is further explained below.

What are angles?Generally, A **triangle's angle **is a measurement of the length of the side that is perpendicular to it.

This indicates that if one of the sides is longer in length, then the measure of the **angle **opposite to it will also be longer.

The **angles **in the triangle TUV are denoted by the symbols T, U, and V.

The side that is UV, TV, and T U correspondingly is the side that is opposite to these angles.

The length of the opposing sides will immediately determine the measure of the **angles**, which will be directly proportionate to those angles.

since V T>U V>T U, the arrangement of **angles **will correspond to this as follows: [tex]m \angle U > m \angle T > \angle V[/tex] Option 5

Read more about **angles **

**https://brainly.com/question/28451077**

#SPJ1

CQ

In $\triangle T U V$, UV $=14, V T=19$, and $T U=9$. Which statement about the angles of $\triangle T U V$ must be true?

$\mathrm{m} \angle V>\mathrm{m} \angle T>\mathrm{m} \angle U$

$\mathrm{m} \angle T>\mathrm{m} \angle U>\mathrm{m} \angle V$

$\mathrm{m} \angle U>\mathrm{m} \angle V>\mathrm{m} \angle T$

$m \angle V>m \angle U>m \angle T$

$m \angle U>m \angle T>m \angle V$

$\mathrm{m} \angle T>\mathrm{m} \angle V>\mathrm{m} \angle U$

Kara currently makes $12 per hour. If she receives a

50% raise, what is her new rate?

What would a 75% raise be equal to????

K

TO

160

Sign out

A.50%* $12= $6

$12+$6= $18

B.75%* $12= $9

$12+ $9=$21

$12+$6= $18

B.75%* $12= $9

$12+ $9=$21

3 Violet's Videos

clients. One week after launching the website, she had posted a total of 6 videos. At the end

Violet is a yoga instructor who regularly posts new exercise videos on a website for her

of week 2, she had a total of 10 videos. At the end of week 3, she had a total of 14 videos. At

the end of week 4, she had a total of 18 videos.

Find the Term Value

The completed** table** is:

Term Number 1 2 3 4 5 6

**Term Value ** 6 10 14 18 22 26

In order to determine the **term values, **the rate of increase in the number of **videos **that Violet has at the end of each week has to be determined.

Rate of increase in the number of **videos** can be determined by dividing the change in the number of **videos **per week by the change in the number of weeks.

Rate of increase = change in the number of videos / change in the number of weeks

(10 - 6) / (2 - 1)

4 / 1 = 4 videos per week

Number of **videos **in week 5 = 18 + 4 = 22

Number of **videos **in week 6 = 22 + 4 = 26

To learn more about **rate of change, **please check: https://brainly.com/question/8305748

#SPJ1

Convert to a percent: 0.341 A. 0.341% B. 341% C. 3,410% D. 34.1%

**Answer:**

34.1%, D

**Step-by-step explanation:**

To convert a number into a percent, you multiply it by 1, or more precisely, 100%. 100% can be thought of as 100 * 1%

0.341 * 100 * 1 % = 34.1%

**Answer:**

**Step-by-step ****explanat**

Darlene has 6 3/4 gallons of gasoline. Every time she mows her lawn, she uses 3/8 gallon. How many times can she mow her lawn before she needs more gas?w

The number of** times** Darlene **mow** her lawn before she needs more gasoline is equal to** 18**times.

As given in the question,

Total gasoline with Darlene is equal to 6 3/4 gallons

Convert mixed fraction into proper fraction:

6 3/4 = 27/4 gallons

Every time amount of gasoline used to mow her lawn = 3/ 8gallon

Number of** times** Darlene **mow** her lawn before she needs more gasoline

= (27 / 4) ÷ (3 /8)

= (27 /4) × (8/3)

= 18 times

Therefore, the number of** times** Darlene mow her lawn before she needs more gasoline is equal to 18times.

Learn more about **times **here

brainly.com/question/26941752

#SPJ1

Riley and Paul go to the driving range. Together, they hit 75 balls. Riley hit 17 more than Paul. How many

balls did each of them hit?

**Riley** hit 46** balls** and **Paul** hit 29 balls at the **driving range**.

According to the question, let

Number of balls hit by **Riley** be x

Number of **balls** hit by **Paul** be y

Together Riley and Paul hit 75 balls

∴x+y=75 (1)

Riley hit 17 more balls than Paul

∴x= y + 17 (2)

Now we have to solve these **simultaneous linear equations** (1) and (2)

Replacing the value of x from equation (2) into **equation** (1) we get,

y+17+y=75

⇒2y + 17 = 75

⇒2y = 75 - 17

⇒2y = 58

⇒y = 58/2 (dividing both sides by 2)

⇒y = 29

∴No. of **balls** hit by Riley = x = y +17 = 29 + 17 = 46 (from equation (2))

Therefore, Riley hit 46 balls and Paul** hit** 29 balls at the **driving range**.

Another problem to solve **simultaneous linear** **equation** using algebra

brainly.com/question/14784513

#SPJ4

please help ill give uu crown to the first person who is right

**Answer:**

No

**Step-by-step explanation:**

Using a graph typing in 9x and looking at the table, (2,1) is not on the table, so (2,1) is not a solution to 9x

**Answer:**

No

**Step-by-step explanation:**

to determine if (2, 1 ) is a solution, substitute the x- coordinate into the equation and if the result is equal to the y- coordinate then it is a solution.

y = 9x ( substitute x = 2 )

y = 9 × 2 = 18 ≠ 1

then (2, 1 ) is not a solution to the equation.

(2x - y)² =

(3x-1)(3x+5)=

Please help simplify both problems !

**Answer: 4x^2 - 4xy + y^2 and the second one 9x^2 + 12x - 5**

**I hope this helps**

A study on students drinking habits wants to determine the true average number of alcoholic drinks all uf greek students have in a one week period. We know from preliminary studies that the standard deviation is around 6. 3. How many students should be sampled to be within 0. 5 drink of population mean with 95% probability?.

Number of **students** need to be **sampled** = 610

A study to determine the true average number of alcoholic drinks consumed by Greek students is conducted.

**Standard Deviation**, σ = 6.3

Margin **Error** of population mean, E = 0.5

**Probability** = 95% = 0.95

The p-value corresponding to 0.95 probability = (1+0.95)/2 = 0.975

The **z-score **corresponding to this p-value = 1.96 [from the z-tables]

Now, The margin error, E = zσ/√n, where n is the **sample size**

⇒ n = (zσ/E)²

⇒ n = (1.96 x 6.3/0.5)²

⇒ n ≈ 610

Hence 610 students need to be **sampled**.

Learn more about **z-score **at https://brainly.com/question/25638875

#SPJ4

how long does it take ella to run 7.5 kilometers

is there more to the question?

8+2x3²

= 8+6²

= 8+36

= 44

What are his mistakes?

He needs to follow PEMDAS

so it would be

8+2x9

8+18

26

so it would be

8+2x9

8+18

26

Find the y-intercept of the line on the graph. Help pls!
a policy that directly targets the quantity of pollution encourages the development of cleaner and processes, without giving clever companies the chance to find ways around it.
BFind the slope for each line then determine if they are parallel, perpendicular, and neither.Points on lines E & F;Line E: (-1,-4) (5, -3) & Line F: (14, 3) (15,-3)O PerpendicularO Not Enough InformationO ParallelONeither
Which expression can be used to find the total number of squares below?6 77 56 17 + 56 + 1
that passes through the pointsM (5-3) and N (8,1)What is the slope of the line
Which BEST explains the purpose of an index? A) It gives the pages where information about topics can be found. B) It describes the reasons why the author chose to write the book. C) It defines the new or difficult vocabulary words used in the book. D) It lists the names of each of the chapters in the order they appear.
Find 3 ratios that are equivalent to the given ratio. 30:42 Find three ratios that are equivalent to the given ratio. DA. 60:84 B. 5:126 DC. 60:7 D 90:7 DE. 60:126 OF 90:126 O G. 5:84 OH 5:7
A rectangle as shown has a length of 11 centimeters and a width of 4.2 centimeters. A circle is drawn inside that touches the rectangle at two points. Which is the closest to the total area of the shaded region?A. 9.19 cm squaredB. 101.59 cm squared C. 60.05 cm squared D. 32.35 cm squared
Write an equation in point-slope form for the line that satisfies the given set of conditions.slope of 0, passes through (0, -10)
In what ways does the element hydrogen behave like elements from group 1 and sometimes like elements from group 17? Make an argument for which group you think hydrogen should be placed in.
change Rate for Japanese YenExchange RateER,ERDDSDemand for YenWhat caused the change in the yen's exchange rate?According to this graph, how has the yen's exchangerate changed?
all of these help in maintaining your account is good standing except
what is the percent ionization of a 0.427 m solution of ethylamine (ch3ch2nh2) in 0.113 m calcium hydroxide?
Write the sentence as an inequality. The sum of 3 times a number n and 8 is at most 16. 0 3n + 8 > 16 o 31 -8 < 16 O 3 + 8n
Which transport system is best suited for transport of nutrients present at extremely low levels and why
I need help on this Homework question and also please give the steps on what lead to the answer.
NO LINKS!! Please help me with this probability 1c
if an increase in price results in a relatively large decrease in demand for the product, the firm cannot easily increase its profit margin. this demonstrates which of porters 5 forces?
what mass of sodium chloride would need to be added to the blood to bring the sodium ion concentration up to 0.135 m m , assuming no change in blood volume?
What key ideas is Janmohamed trying to express in her memoir?