a. 4 million **registered **voters in the state where the 5,000 registered voters is drawn from the pool of registered voters.

Options: a. 4 million registered voters in the state

b. 5,000 **registered **voters interviewed

c. 54 %, voters interviewed who plan to vote for him

d. 46 %, voters interviewed who plan not to vote for him

The **population **of interest is the group from which a sample set is collected. Here, the 5,000 registered voters is drawn from the pool of registered voters. The people surveyed are representative of the total number of voters. The **population **of interest here is the 4 million registered voters.

For example, if a survey is carried out to figure out the age that kids start walking, the **population **of interest is kids in general and not just the children who are surveyed.

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Find the x- and y-intercepts of the graph of x+y=18. State each answer as an integer or an improper fraction in simplest form

The x- and y-**intercepts **of the **graph **of x+y=18 are; (18, 0) and (0, 18) respectively.

The x-intercept of a **function **of variable x ( y = f(x) ) form is an **intersection **fo the x-axis and the curve of the function. The x-intercept for a function y = f(x) is a **solution** to the equation f(x) = 0 because at that value of x, the function f(x) lies on x-axis, where y is 0. Values of x-**intercept** for a function f(x) are also called **roots** or solution of f(x) = 0 equation.

For x intercept, y = 0

x + y = 18

x + 0 = 18

x = 18

Hence, the **x-intercept** is (18, 0)

For y intercept, x = 0

x + y = 18

0 + y = 18

y = 18

Hence, the** y-intercept **is (0, 18)

The x- and y-**intercepts **of the **graph **of x+y=18 are; (18, 0) and (0, 18) respectively.

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The fox population in a certain region has a relative growth rate of 4 percent per year. It is estimated that the population in the year 2000 was 20,200 foxes. a) Find an equation that models the population t years after 2000 (t = 0 for 2000). A = b) Use the equation from part (a) to estimate the fox population in the year 2009. Round to the nearest fox. foxes

**Answer:**

where is the question?* **plssss** **so **im **sorrry **but **where **is **the **question **i **don't **see **a **question?*

What is the effect on the graph of f(x) = x2 when it is transformed toh(x) = 1/4x2 - 11?A. The graph of f(x) is horizontally stretched by a factor of 4 andshifted 11 units to the right.B. The graph of f(x) is vertically compressed by a factor of 4 andshifted 11 units down.C. The graph of f(x) is horizontally compressed by a factor of 4 andshifted 11 units down.D. The graph of f(x) is vertically compressed by a factor of 4 andshifted 11 units to the right.SUBMIT

As per transformation of graph, h(x) = 1/4x² - 11 represents that the graph of f(x) is** horizontally compressed **by a factor of 4 and shifted down by 11 units.

To know the **effect on the graph**

Given, the graph is f(x) = x².

We know that, at the time of horizontally compressing a graph we need to multiply it by a factor of (1/a).

Again, at the time of shifting a graph up we need to add a positive number of (b).

Therefore, a = 4 and b = - 11.

Now, if we horizontally compress f(x) it by a factor of (1/4) then it be (1/4)x².

Again, if we shifted down f(x) by 11 units, then it be (1/4)x² - 11.

Therefore, h(x) = (1/4)x² - 11 represents that the graph of f(x) is **horizontally compressed** by a factor of 4 and shifted 11 units down.

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The ratio of small dogs to large dogs at the dog show is 4:3. If there are 60 dogs in the

show, how many are large dogs?

**Answer:**

45 large dogs

**Step-by-step explanation:**

Step 1:

60 x 3 = 180

180 ÷ 4 = 45

you are traveling 150 miles to your cousins house. You travel at an average rate of 50 miles per hour. How long will it take to get to cousin house?

**Answer**

**It will take 3 hours to get to your cousin's house.**

**Explanation**

Firstky, note that Speed is given as

[tex]\text{Speed =}\frac{Dis\tan ce}{Time}[/tex]For this question, we are told that the distance to your cousin's house is **150 miles.**

The speed is an average rate of **50 miles per hour.**

We are then asked to calculate how long it will take to get to your cousin's house.

**Speed = 50 miles/hour**

**Distance = 150 miles**

**Time = ?**

**Hope this Helps!!!**

PLS HELP

Lisa needs at least 870 gigabytes of storage to take pictures and videos on her upcoming vacation. She checks and finds that she has 200 gigabytes available on her phone. She plans on buying additional memory cards to get the rest of the storage she needs. Lisa is going to use memory cards that each hold 256 gigabytes.

Let C represent the number of memory cards that Lisa buys.

Which inequality describes this scenario?

The **inequality **that describes this **scenario **would be; A. 200 + 256C ≥ 870.

Inequality is defined as the **relation **which makes a non-equal comparison between two given **functions**. If the equation or inequality contains variable terms, then there might be some values of those **variables **for which that equation or **inequality **might be true. Such values are called **solution **to that equation or inequality.

Given that **lisa **checks and finds that she has 200 **gigabytes **available on her phone. It is going to use **memory cards **that each hold 256 gigabytes.

Let **consider **that C represent the number of memory cards that **Lisa **buys.

Then the **inequality **;

200 + 256C ≥ 870

Hence, The **inequality **that describes this **scenario **would be; A. 200 + 256C ≥ 870.

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Paul receive about 13 advertisement via email each day. about how many advertisement emails will he receive in 30 days?

**Answer:**

390

**Step-by-step explanation:**

13 × 30 = **390**

The Earth is approximately 8.0 x 103 miles in diameter, from pole to pole.What number is the distance equivalent to? A- 800 thousand milesB- 80 thousand milesC- 8 thousand milesD- .8 thousand miles

**Answer**

**Option C is correct.**

**8.0 × 10³ miles = 8 thousand miles.**

**Explanation**

The number given in scientific notation is

**8.0 × 10³ miles**

**= 8.0 × 1000 miles**

**= 8000 miles**

**= 8 thousand miles.**

**Hope this Helps!!!**

Select the algebraic definition for the piecewise function graph.

Y=2x+4

y=4

Y=-2x+8

The answers (C) and (D) are **accurate**:.

F(x) = 4; 0 = x 2 and F(x) = -2x + 9; 2 = x 4 respectively.

How a piecewise function is defined?A **piecewise function's graph** has a large number of **curve **elements. It means that, depending on the value of the input, it has a wide range of definitions. To put it another way, **a piecewise function** reacts differently to the input.

It follows that:

The image displays the piecewise function:

Observing the piecewise function's graph

Every value in the **domain **is associated to exactly one value in the range according to the **function**, which may be thought of as a unique kind of connection with a predefined **domain **and **range**.

F(x) = 4; 0< = x < 2

F(x) = -2x + 9; 2 < = x < 4

Thus, F(x) = 4; 0< = x < 2 and F(x) = -2x + 9; 2 < = x < 4 the option (C) and (D) are correct.

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The correct question is:

" 2) Select the algebraic definition for the piecewise function graph.

F(x){_____ 0< = x < 2

{_____ 2 < = x < 4

A. 2x-8

B. 2

C. -2x+8

D. 4

E. 2x-4"

you start at (1,7). you move left 1 unit and down 6 unit

The required point on the **cartesian plane** is (0,1).

Definition of a Cartesian Plane. The intersection of two **perpendicular lines** results in the formation of the cartesian plane, a two-dimensional coordinate plane. The X-axis is the horizontal line, and the Y-axis is the vertical line.

In a graph (1,7) lies in the **first quadrant**

And if we go 1 unit left then that means that we will be on the y axis

Then if we go down 6 units we will reach at point 1 unit away from the origin on the** y axis** . This particular point can be represented as (0,1).

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PLEASE HELP ME SOLVE THESE TWO ANSWERS!!

**Answer:**

:]

**Step-by-step explanation:**

x, x+2

Equation: 2x+4=2x+4

All real numbers

b) it is an identity, it has infinite solutions.

A group of students is arranging squares into layers to create a project. The first layer has 4 squares. The second layer has 8 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer?

(d) f(1) = 4 f(n) = 4 + d(n-1) , n>0 is the **arithmetic formula** to find the number of layers in the project

In the above question it is given that

A project is being created by a group of students by arranging layers.

The first layer is having 4 layers and as we move to the next layers, it is getting 2 times of the number of layers in the first layer.

i,.e f(1) = 4

Number of layers in the second layer = 8 layers

f(2) = 4.2 = 8

Now, we need to find the general **arithmetic formula** to determine the subsequent n number of layers in the project

As the subsequent layers are getting n times of the first layer, so we'll also find the similar **arithmetic formula** where **addition **to the first layer with n times of it is happening

So, after checking all the given options we find, (d) as the appropriate option

f(1) = 4

f(n) = 4 + d(n-1) , n>0

We'll find the number of layers in the 3 layers

Here, n = 3

Putting in the formula, we'll find.

f(3) = 4 + d(3-1)

f(3) = 4 + d(2)

where d(2) = 8 (given)

so, f(3) = 4 + 8 = 12

Hence, f(1) = 4 f(n) = 4 + d(n-1) , n>0 is the **arithmetic formula** to find the number of layers in the project

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a/6 -5=9 what’s the answer

**Answer:**

a = 84

**Step-by-step explanation:**

[tex]\frac{a}{6} - 5 = 9\\\frac{a}{6}} - \frac{5*6}{6} = \frac{9*6}{6}\\ a - 30 = 54\\ a = 54 + 30\\ a = 84[/tex]

Which one of them is right?

**Answer:**

neither of them are right

Express in decimal notation. 5.51×10^-4

**Step-by-step explanation:**

Answer:

= 5.51 × 10⁻⁴

scientific notation

= 5.51e-4

scientific e notation

= 551 × 10⁻⁶

engineering notation

millionth; prefix micro- (u)

= 5.51 × 10⁻⁴

standard form

-4

Order of Magnitude

for scientific and standard forms

= 0.000551

(real number)

= five hundred fifty-one millionths

word form

if a snowball melts so that its surface area decreases at a rate of 7 cm2/min, find the rate at which the diameter decreases when the diameter is 11 cm.

The **diameter** is decreasing at a rate of - 0.101 cm/min

Given that,

**Surface area** is decreasing at a rate of [tex]7cm^{2}[/tex]/min,

We know that,

Surface Area of a sphere:

S = 4 π r2

dS/dt = - 7cm2/min

our aim is to find rate of decrease of **Diamete**r:

dD/dt =?

Substitute r in the equation with radius = 1/2*Diameter:

r = 1/2D

Take the derivative of the **surface area** function with respect to time:

d/dt [S = 4 π (1/2D)2]

d/dt [S = 4 π 1/4*D2]

d/dt [S = π *D2]

dS/dt = 2πD*dD/dt

Solve for dD/dt:

dD/dt = dS/dt / 2πD

Substitute, dS/dt = - 7cm2/min and D = 11 cm

dD/dt = dS/dt / 2πD

dD/dt = - 7cm2/min / 2π*11cm

dD/dt = - 7cm2/min / 22π cm

dD/dt = - 7cm / 22π min

dD/dt = - 0.101 cm/min

Therefore, the **diameter** is decreasing at a rate of** **- 0.101 cm/min

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0.101331789 cm/min is the rate at which the **diameter **decreases when the diameter is 11 cm

if a snowball melts so that its surface area decreases at a rate of 7 cm2/min,

find the **rate **at which the **diameter **decreases when the diameter is 11 cm.

Surface area: S

radius: r

diameter: e

time: t

[dS/dt] = [dS/de]*[de/dt] => de/dt = [dS/dt] / [dS/de]

S = 4pi*r^2 = 4p*i(e/2)^2 = pi*e^2 => dS/de =2pi*e

dS/dt = 7cm^2 / min

de / dt = [2pi*e] / [7cm^2/min] =[7cm^2/min] / [2pi*11cm]

= 0.101331789 cm/min

Hence , 0.101331789 cm/min is the **rate **at which the diameter decreases when the diameter is 11 cm

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The I-70 grade west of Denver has a grade of 5%. The horizontal length of the roadway (run)

is 5.5 miles. What is the change in elevation from the top of the grade to the bottom of the

grade in feet?

The change in the **elevation** is 0.275 miles.

An **elevation** simply means the her that above the sea level. It's used to describe a geographical location.

Thethe change in **elevation** from the top of the grade to the bottom of the grade in feet will be:

= **Percentage** of change × Length given

= 5% × 5.5 miles

= 0.05 × 5.5 miles

= 0.275 miles.

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Complete all these questions and provide an explanation with complete sentences for full credit.

1) Which muraber is rational? Explain

+

√13

Root **13 is a non-recurring**, infinite decimal. Since 13 is not a perfect square, its square root cannot be determined precisely. 13 cannot be expressed as a fraction, which is the definition of a **rational number**, because it cannot be expressed as a **ratio of integers**.

**An illustration of a rational number?**

If p and q are **integers** and q is not equal to 0, then the number is in the form of** p/q** and is said to be rational. Rational number examples include 1/3, 2/4, 1/5, 9/3, and so on.

Irrational number examples include: Any real number that cannot be expressed as a fraction is considered to be** illogical.**

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Find a translation that has the same effect as the composition of translations

**Translation** that has the same effect as the **composition** **of translations** is

(x, y)→ ( x+2 , y+7 )

Composition of two reflections can be expressed as **translation. ** **Composition** of reflections over parallel lines always has the same effect as a translation. Combination of two or more transformations is called **composition of translation. **

In this case :

As given in the question , 9 units are added from the x-coordinate in the first transformation and then 7 units are subtracted. So, the sum is:

+9-7 = +2

Observe that, in the first transformation, 1 units are added to the y-coordinate and then 6 units are added. The sum is:

+6+1 = +7

Then, the single Translation that has the same effect as the given Composition of translation is calculated to be:

(x, y)→ ( x+2 , y+7 )

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Help guysssssssssssssssssssssssssssssssssssssssssssss

**Answer:**

i think the answer is 2<x<5

**Step-by-step explanation:**

There are 100 students in Year 10.

Each student studies exactly one of French, German, and Spanish.

X girls study French and there are 3X girls in total.

2Y boys study German.

There are 35 students studying Spanish of which Y are boys.

Which of the following is an expression for the total number of students studying German?

The **expression** which correctly represents the number of students studying **German** as required is; 3y + 2x -35.

It follows from the task content that the number of students studying **German** be determined from the given information.

Therefore since the total number of students is; 100.

35 students study **Spanish** of which y are boys, therefore, the number of girls studying Spanish is; (35 - y).

Also, since there are 3x girls in total and x of which study French, the remaining 2x study Spanish and German.

Hence, the number of girls who study German is; 2x - (35 - y).

Therefore, the total number of students (boys and girls) who study German is; 2y + 2x - (35 - y).

= 3y + 2x -35.

Ultimately, the **total number** of students who study German are; 3y + 2x -35.

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What's the distance between -9 and 23

the distance is |23-(-9)|=32

**Answer:**

32 units

**Step-by-step explanation:**

calculate the distance using the absolute value of the difference.

| - 9 - 23 | = | - 32 | = 32

or

| 23 - (- 9) | = | 23 + 9 | = | 32 | = 32

Please help me because I got the answer wrong.

[tex]\cfrac{1}{3}x^2~~ = ~~\cfrac{4}{27}\implies \cfrac{x^2}{3}~~ = ~~\cfrac{4}{27}\implies x^2=\cfrac{(3)4}{27}\implies x^2=\cfrac{12}{27} \implies x=\pm\sqrt{\cfrac{12}{27}} \\\\\\ x=\pm\cfrac{\sqrt{12}}{\sqrt{27}} \implies x=\pm\cfrac{\sqrt{2^2\cdot 3}}{\sqrt{3^2\cdot 3}}\implies x=\pm\cfrac{2\sqrt{3}}{3\sqrt{3}}\implies x=\pm\cfrac{2}{3}[/tex]

A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $80. A season ski pass costs $300. The skier would have to rent skis with either pass for $25 per day. How many days would the skier have to go skiing in order to make the season pass less expensive then the daily passes?

**Answer: I think it's 9 days.**

**Step-by-step explanation:**

11. (0, 2) and (4, -4)

12. (-2,-4) and (-3, -3)

Answer:

11. -3/2

12. -1

Step-by-step explanation:

To find slope, subtract the y's and put that on top of a fraction. Then subtract the x's and put that on the bottom of the fraction. Simplify if you can.

Subtract y's 2 - -4 is

2+4 which is 6, put that on top.

0 - 4 is -4 put it on the bottom.

Slope is 6/-4. Simplified, this is -3/2

The other question, same thing:

y-y over x-x

-4 - -3 / -2 - - 3

= -4+3 / -2 + 3

= -1 / 1

= -1

Drag graphs to the table to show the image of the triangle after it is reflected over the x-axis, the y-axis, or the line y=x.

**Answer:**

3rd Graph = 1st box

2nd Graph = 2nd Box

4th Graph = 3rd Box

which polynomial function f(x) has a leading coefficient of 1, roots -4, 2, and 9 with multiplicity 1, and root -5 with multiplicity 3?

The** expression** for** f(x)** is: [tex]f(x)=(x+4) , (x-2) , (x-9) ,(x+5),(x+5),(x+5)[/tex]

We know that for any** polynomial** equation with **roots**:

[tex]a_{1}, a_{2}, a_{3} ,...[/tex]

with** multiplicity**:

[tex]m_{1}, m_{2}...[/tex]

the equation for the polynomial is given by:

[tex]f(x)=(x-a_{1}) ^{m_{1} }, (x-a_{2}) ^{m_{2} }...[/tex]

If the leading **coefficient** is negative we may take '-' sign in the starting of the **expression**.

Here we are given that, **f(x)** has a leading coefficient of 1, roots -4, 2, and 9 with multiplicity 1, and root -5 with multiplicity 3

Hence, f(x) is given by:

= [tex]f(x)=(x-(-4)) ^{1 }, (x-2) ^{1}, (x-9) ^{1},(x-(-5)) ^{3}[/tex]

= [tex]f(x)=(x+4) , (x-2) , (x-9) ,(x+5),(x+5),(x+5)[/tex]

Hence, the **expression **for **f(x)** is: [tex]f(x)=(x+4) , (x-2) , (x-9) ,(x+5),(x+5),(x+5)[/tex]

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Pat and Alex have a combined total of £63.

The ratio of Pat’s money to Alex’s money is 5 : 2

They each spend an equal amount on sweets.

The ratio of Pat’s money to Alex’s money is now 3 : 1

How much did Pat spend on sweets?

**Answer:**

£4.50

**Step-by-step explanation:**

ratio of Pat : Alex = 5 : 2 = 5x : 2x ( where x is a multiplier )

then

5x + 2x = 63

7x = 63 ( divide both sides by 7 )

x = £ 9

Pat has 5 × £9 = £45

Alex has 2 × £9 = £18

let the amount they spend on sweets be x , then ratio of money is 3 : 1

so 45 - x : 18 - x = 3 : 1

express the ratio in fractional form and equate proportionally

[tex]\frac{45-x}{18-x}[/tex] = [tex]\frac{3}{1}[/tex] ( cross- multiply )

45 - x = 3(18 - x)

45 - x = 54 - 3x ( add 3x to both sides )

45 + 2x = 54 ( subtract 45 from both sides )

2x = 9 ( divide both sides by 2 )

x = 4.5

Pat spent £4.50 on sweets

can someone help me really quick

**Answer:**

21

**Step-by-step explanation:**

63 divided by 3 is 21

210 divided by 10 is 21

The picture shows a triangular island:Which expression shows the value of q?s over sin 55 degreess over cos 55 degreesr sin 55°r cos 55°q?

A right triangle is a triangle with a right angle. The opposite side to the right angle is called the hypotenuse and the other sides are the legs. Given an angle in a right triangle, the ratio between the leg adjacent to the angle and the hypotenuse is equal to the cosine of the angle.

Using this relation in our problem, we have the following:

[tex]\cos(55^o)=\frac{s}{q}[/tex]Solving this expression for **q**, we have:

And this is our answer.

[tex]\frac{s}{\cos(55^o)}[/tex]
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ILL MARK BRAINLIEST!! Graph - 5x + 10y = 20
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