PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

A politician wants to see what people in her district think about tax cuts. Which procedure would be a good way of conducting a survey?

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!A Politician Wants To See What People In Her District

Answers

Answer 1

Answer:

D

Step-by-step explanation:

C is also possible but it is not purely random and it is not mentioned the mall is in her district.

Answer 2

Answer:  D) Mail a questionnaire to random households.

Step-by-step explanation:

A) You are limited to only listeners of the radio show

B) You are limited to only those that are wiling and able to attend the meeting.

C) You are limited to only shoppers at that particular mall.

D) Randomly selecting households is the least biased method of responses from the district.


Related Questions

help pleaseeeeeee! thanks

Answers

Answer:

The center is at 2

Step-by-step explanation:

The spread is only from 0 to 5.

There are two clusters (one at 0-2 and one at 4-5)

The peak is at 5 not at 8

Answer:

oh i did this one the answer is B.

What is the value of pi to 10 decimal places

Answers

Answer:

3. 415926535

Step-by-step explanation:

If f(4) = 12 and f '(x) ≥ 3 for 4 ≤ x ≤ 9, how small can f(9) possibly be?

Answers

Answer:

  27

Step-by-step explanation:

If the slope of f(x) is no less than 3, then the value of f(9) can be no less than 27.

  f(x) ≈ f(4) +f'(x)·(x-4)

  f(9) = 12 +3(9 -4) = 27 . . . . . for f'(x) = 3.

For larger numbers of f'(x), f(9) will be larger.

We want to find the minimum possible value of f(9) given that:

f(4) = 12f'(3)  ≥ 3  for 4 ≤ x ≤ 9

We will see that the smallest value that f(9) can take is 27.

We know that the derivate of f(x) gives the slope to the tangent line to the graph of f(x) in a given point where it is evaluated.

If this slope is positive, the function is increasing. So if we want to find the minimum value for f(9), then we need to take the smallest slope possible (knowing that it is positive).

Then we must use f'(x) = 3

Now, we can integrate this to get:

f(x) = 3*x + b

Where b is a constant of integration, to find the value of b, we can use the fact that f(4) = 12, then:

12 = f(4) = 3*4 + b

12 = 12 + b

12 - 12 = 0  = b

Thus the equation is just:

f(x) = 3*x

Now we can evaluate this in x = 9 to get:

f(9) = 3*9 = 27

The smallest value that f(9) can take is 27.

If you want to learn more, you can read:

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Please help me with this

Answers

Answer:

first name the triangles

triangle 1=triangleABC

triangle2=trianglePQR

therefore,SSS:sideAB of ABC=sidePQ of PQR

Determine which of the mapping diagrams represents a relation that is not a function.
I really need help with this, thank you

Answers

Final answer:

A function is a relation where each input is related to exactly one output. In mapping diagrams, if an 'x' value is associated with multiple 'y' values, the relation is not a function. Make sure to check the mapping to determine this.

Explanation:

In mathematics, specifically in the area of functions and relations, a function is a type of relation where each input (or 'x' value) is related to exactly one output (or 'y' value). If a relation has an 'x' value that is associated with more than one 'y' value, we say that this relation is not a function. When examining mapping diagrams, you can tell if it's a function or not by checking this rule.

For example, if you have a mapping diagram where the number 1 (the 'x' value) is mapped to both 2 and 3 (the 'y' values), this would not be a function because one input is associated with more than one output. On the other hand, if you have a mapping where every 'x' value is mapped to one 'y' value, such as 1 to 2, 2 to 3 and 3 to 4, this is a function.

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Find the sum of a finite geometric series.

The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle. This process is continued until three triangles are inscribed in the first triangle. The sum of the perimeters of all four triangles is ______ inches.

Answers

Answer: 17 in.

Step-by-step explanation:

The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle. This process is continued until three triangles are inscribed in the first triangle. The sum of the perimeters of all four triangles is 17 in.

Answer with explanation:

⇒Side of largest equilateral triangle in which three equilateral triangles are inscribed = 16 inches

Perimeter of a triangle = Sum of three sides of triangle

Perimeter of equilateral triangle having side length 16 inches = 16 +16+16=48 inches

⇒→Second equilateral triangle which is inscribed in this equilateral triangle having side length half of that equilateral triangle in which it is inscribed

 [tex]=\frac{16}{2}\\\\=8[/tex] inches

Perimeter of equilateral triangle having side length 8 inches = 8 +8+8=24 inches

⇒→Third equilateral triangle which is inscribed in this equilateral triangle having side length half of that equilateral triangle in which it is inscribed

 [tex]=\frac{8}{2}\\\\=4[/tex] inches

Perimeter of equilateral triangle having side length 4 inches =4+4+4=12 inches

⇒→Fourth equilateral triangle which is inscribed in this equilateral triangle having side length half of that equilateral triangle in which it is inscribed

 [tex]=\frac{4}{2}\\\\=2[/tex] inches

Perimeter of equilateral triangle having side length 2 inches =2+2+2=6 inches

→≡Total Perimeter of all four Equilateral Triangle

  =48 +24+12+6

= 90 inches

Please help me out :)

Answers

Answer:

162π ft²

Step-by-step explanation:

The surface area (SA) of a sphere is

SA = 4πr² ← r is the radius

Calculate r from the volume, that is

V = [tex]\frac{4}{3}[/tex]πr³ = 972π

Multiply both sides by 3

4πr³ = 2916π ( divide both sides by 4π )

r³ = [tex]\frac{2916\pi }{4\pi }[/tex] = 729

Take the cube root of both sides

r = [tex]\sqrt[3]{729}[/tex] = 9, hence

SA = 4π × 9² = 4π × 81 = 324π

Please help me out please

Answers

The purple area is the sum of the circle sector and the triangle:

[tex]A = A_s+A_t[/tex]

Let's compute them one at the time:

The sector is identified by an angle of 260°, because it is the remainder of a 100° angle.

We can build this simple proportion

[tex]\text{total area}\div\text{total angle}=\text{sector area}\div\text{sector angle}[/tex]

The area of the circle is [tex]\pi r^2[/tex], so we have

[tex]\pi 8.35^2\div 360= A_s\div 260[/tex]

Solving for the sector area, we have

[tex]A_s = \dfrac{\pi\cdot8.35^2\cdot260}{360} = \dfrac{8.35^2\cdot 13\pi}{18}[/tex]

The triangle is an isosceles triangle, because two of the sides are radii. This means that the height is also a bisector, so we can cut the triangle in two 90-50-40 triangles.

Using the law of sines, we can deduce that the height is

[tex]8.35\sin(40)[/tex]

And half the base is

[tex]8.35\sin(50)[/tex]

So, the area of the triangle is

[tex]A_t = 8.35^2\sin(40)\sin(50)[/tex]

So, the purple area is

[tex]A = A_s+A_t =\\\dfrac{8.35^2\cdot 13\pi}{18}+8.35^2\sin(40)\sin(50) = 8.35^2\left(\dfrac{13}{18}\pi+\sin(40)\sin(50)\right)\approx 192.5[/tex]

Randall recorded 8 songs on his most recent CD the total length of the CD is 49 minutes find a until rate to represent the average length per song on the CF Please help I don't understand

Answers

Answer:

6.125 minutes per song

Step-by-step explanation:

Unit rates are based on a single unit of something.  Like price per 1 gallon of gas; price for 1 pound of bananas; miles driven per 1 gallon of gas, etc.  What we are looking for in minutes per song.

Use a proportion to solve this with minutes on top and number of songs on the bottom.  We know that 49 minutes = 8 songs, and we want to know how many minutes (x) per 1 song:

[tex]\frac{min}{song}:\frac{49}{8}= \frac{x}{1}[/tex]

Cross multiply to get

8x = 49 so

x = 6.125 minutes per song

Final answer:

The question asked was about finding the average length of songs on a CD. We calculated this by dividing the total length of the CD (49 minutes) by the total number of songs (8), which gives us an average song length of 6.125 minutes.

Explanation:

The subject of the question is average, a fundamental concept in mathematics. In this particular question, we need to find out the average length of the songs on Randall's CD. We know that the total length of his CD is 49 minutes, and he has recorded 8 songs on it. Finding the average involves dividing the total by the number of units.

The steps to find the average length per song are as follows:

Add up the total amount - in this case, it's 49 minutes.Count the number of units - here, it's 8 songs.Divide the total (49 minutes) by the number of units (8 songs).

Upon carrying out this calculation, we discover that the average length of each song is approximately 6.125 minutes.

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A dance club ordered shoes for all of its members. The shoe sizes are shown in the table.

Ten members of the dance club were selected for a special performance. The shoe sizes are shown in the table.

What is the sample mean for the data?



Enter your answer, as a decimal, in the box

Answers

The Answer is 7.7

Add all the Shoe size From the second Table

7+7+10+6+9+6+8+7.5+8.5+8=77

77 divide by the number of Shoe size

There are 10 shoe size So,

77/10=7.7

Hope this Help:)

Answer:

7.7

Step-by-step explanation:

The mean (or average) is the sum of the data points divided by the number of data points.

μ = (7 + 7 + 10 + 6 + 9 + 6 +8 + 7.5 + 8.5 + 8) / 10

μ = 77/10

μ = 7.7

Find the value in degrees 2x+6. X 96

Answers

Answer:

x = -0.04166666667

Step-by-step explanation:

2x + 8 * 96 = 0

2x * 96 = -8

x/2 * 96 = -8/2

x * 96 = -4

x = -4/96

x = -0.04166666667

Answer:

198

Explanation:

The way to solve this equation is by using the "X=96" from moving it to the x in the equation witch makes it "2(96) + 6" When the variable is after the letter like 2x it always means multiplying. So when you multiply 2(96) together you get 192, then you would add 6+192 which would equal 198. I hope I helped! :D

Identify the measure of arc UPR. PLEASE HELP!! I don't understand!!

Answers

Answer:

189°

Step-by-step explanation:

∠UPR = ∠UOP + ∠POQ + ∠QOR = 81° + 56° + 52° = 189°

I know it's a long question but the reward is great!

Please answer if you truly know how to help!! Thank you!!


After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow is the shape of a parabola.


The equation for this parabola is y = -x2 + 36.


In the distance, an airplane is taking off. As it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. Create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow.




What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not?


What are the x- and y-intercepts of the rainbow? Explain what each intercept represents.


Is the linear function you created with your table positive or negative? Explain.


What are the solutions or solution to the system of equations created? Explain what it or they represent.


Again thank you if you can help me with this!!

Answers

Answer:

Step-by-step explanation:

Here y = -x^2 + 36.

We can choose x values pretty much at random and then calculate the associated y values:

x    y = -x^2 + 36

----  --------------------

0                      36

2                 -2^2 + 36 =  32

-2                  -4 + 36 = 32

3                  -9 + 36 = 27

You did not share the equation of the slanted line.  Let's assume that the equation of this line is y = mx + b.  The first two points in the table above are (0, 36) and (2, 32).  We could find the equation of this line as follows:

Slope:  as we move from (0, 36) to (2, 32), x increases by 2 and y decreases by 4.  Thus, the slope is m = rise / run = -4/2, or -2.  Using info from the point (0, 36), we find the y-intercept of this straight line:

y = mx + b becomes 36 = m(0) + b, so b = 36, and the line is y = -2x + 36.

We need to find the points of intersection of y = -2x + 36 and y = -x^2 + 36.  We can equate these equations to eliminate y:  -2x + 36 = -x^2 + 36, or

-2x = -x^2.  Equivalently, 2x - x^2 = 0, or (x)(2 - x) = 0.  Then x = 0 and x = 2.

This says that the line and the parabola intersect in at least two places:

(0, 36) and (2, 32).

Mateo wants to make a toy sailboat. He has two pieces of wood to choose from. His first piece of wood is a block that measures 18'' x 10" x 8". It weighs 46.65 lbs. His second piece of wood is a log of wood measuring 21" long, with an average circumference of 25.12". It weighs 39.25 lbs. The sailboat needs to float, but both blocks of wood are denser than wood usually is, and he's not sure either piece of wood will float. He doesn't want to get the water wet before he's applied a sealant, so he isn't willing to just drop them in the water to find out.
2a. Which common solid can he use to represent the block? Which common solid can he use to represent the log? (2 points)
2b. What is the density of the block in pounds per cubic inch? Give the formula for density and show your work. (3 points)
2c. What is the density of the log in pounds per cubic inch? Give the formula for density and show your work. Use 3.14 for π. (Hint: you can determine the radius from the circumference.) (3 points)
2d. Water has a density of about 0.0361 pounds/cubic inch. Anything rarer will float, and anything denser will sink. Which of the pieces of wood are suitable for making a toy boat that will float? (2 points)

Answers

Step-by-step explanation:

2a. The block of wood has the shape of a rectangular prism.  The log has the shape of a cylinder.

2b. Density is mass divided by volume.  We know the mass, but we need to find the volume.

Volume of a rectangular prism is:

V = whl

where w is the width, h is the height, and l is the length

V = (18)(10)(8)

V = 1440 in³

So the density is:

d = 46.65 lbs / 1440 in³

d = 0.0324 lb/in³

2c.  Volume of a cylinder is:

V = πr²h

where r is radius and h is height.

The circumference is C = 2πr, so r = C / (2π).

r = 25.12 / (2*3.14)

r = 4.00

V = 3.14 (4.00)² (21)

V = 1055.04 in³

So the density is:

d = 39.25 lb / 1055.04 in³

d = 0.0372 lb/in³

2d.  The block is less dense than water; the log is more dense than water.  So he should make the boat out of the block.

HELP! AND PLS EXPLAIN!
Name the point. Write the result in the form a + bi.

Answers

Answer:

-7+6i

Step-by-step explanation:

On the Cartesian x-y plane, a point is located by giving the ordered pair of its coordinates. A point in this position on the x-y plane would have coordinates (-7, 6). That is, it is located 7 units to the left of the vertical axis, and 6 units above the horizontal axis.

The complex plane is similar in many ways, but each point represents a single number (not a pair of numbers). That single number has two parts: a real part and an imaginary part. The real part is measured by the real axis, a horizontal axis that looks very much like the x-axis of a Cartesian plane. The imaginary part is measured against the imaginary axis, a vertical axis that looks very much like the y-axis of a Cartesian plane.

Just as an ordered pair locates a point on the Cartesian plane, a complex number with a real part and an imaginary part locates a point on the complex plane. The imaginary part is identified by the "i" multiplier. (In some fields of study, notably Electrical Engineering, "j" is used instead of "i", because "i" has a different meaning.)

Here, your point is 7 units left of the imaginary axis, so has a real part of -7. It is 6 units above the real axis, so has an imaginary part of 6. When both parts are written together, the number is written -7+6i.

Comparing this form to a+bi, we find a=-7, b=6.

Select the margin of error that corresponds to the sample mean that corresponds to each population: A population mean of 25, a standard deviation of 2.5, and a margin of error of 5%.


A.) 25


B.) 20


C.) 30



PLEASE ANSWER FAST I DONT KNOW HOW TO DO THIS :(

Answers

Answer:

I think it is 25.

Step-by-step explanation:

Answer with explanation:

Population Mean = 25

Standard Deviation =2.5

[tex]Z_ {Score} =\frac{5}{100}\\\\Z_ {Score} =0.05\\\\Z_{0.05}=0.5199[/tex]

Let ,Margin of error= m

 And, Sample Population = n  

[tex]m=Z_{0.05} \times \frac{\sigma}{\sqrt{n}}\\\\ m=0.5199 \times \frac{2.5}{\sqrt{25}}\\\\m=0.5199 \times 0.5\\\\m=0.25995[/tex]

m= 0.2599 × 100%

m=25.99%=26%

Option A: 25=Margin of error

 

How many solutions does the system of equations have? 2x + 3y = 6 y=-2/3x-1A. 0 B. 1 C. 2 D. infinite

Answers

Answer:

0

Because -2/3x-1=2-2/3x

-2/3x+2/3x=2+1

0=3

and that's wrong, so there is no solution.

ANSWER

A. 0

EXPLANATION

The first equation is

2x + 3y = 6

The second equation is

y=-2/3x-1

Let us rewrite the first equation in slope-intercept form.

3y =-2x+ 6

[tex]y = - \frac{2}{3} x + 2[/tex]

We can see that both equations has the same slope,

[tex] m = - \frac{2}{3} [/tex]

but different y-intercepts.

This implies that the two lines do not intersect because they are parallel.

Therefore the system has no solution.

(Please dont ignore, need help) ❗️

Answers

Since 5•x=5x, which means that the large side is x times larger, x•x should equal 4.
If x^2=4,x=2
so x=2

Answer:

[tex]5.x=5x\\x^{2} =4, x=2\\x=2[/tex]

Step-by-step explanation:

hope its right

someone help please?
Two students are using estimation to determine reasonable solutions to the expression 89.1 x 9.3 Katie uses the 99 x 10. Amaya uses the expression 89 x 9.

A.Which is the best comparison of the estimates and the actual product?

B.Both estimates will be less than the original product.

C. Both estimates will be greater than the original product.
Katie’s estimate will be less than the actual product, and Amaya’s estimate will be greater than the actual product.

D. Katie’s estimate will be greater than the actual product, and Amaya’s estimate will be less than the actual product.

Answers

Choice D), since Katie went way over the decimals, and Amaya went slightly under to the closest number

Answer:

Amaya's estimate is the closer one.

D. Katie’s estimate will be greater than the actual product, and Amaya’s estimate will be less than the actual product

Step-by-step explanation:

The original expression is 89.1 x 9.3. Katie changed the 89.1 to 99 (difference of 9.9) and the 9.3 to 10 (difference of 0.7). On the other hand, Amaya changed the 89.1 to 89 (0.1 difference) and the 9.3 to 9 (0.3 difference).

Therefore the best comparison would be Amaya's estimate since her numbers are closer to the original expression.

Katie's estimate will be greater than the actual product because she rounded up the numbers and Amaya's estimate will be less than the actual product because she rounded down the numbers.

As a contestant on a televised game show, Akash gets to spin the big prize wheel, which has a radius of 2 yards. What is the prize wheel's diameter?

Answers

Answer:

4 yards. The radius is half the diameter of the circle and the length of one point of the circle to the center of the circle.

Step-by-step explanation:

Final answer:

The diameter of a prize wheel with a radius of 2 yards is calculated by multiplying the radius by 2, resulting in a diameter of 4 yards.

Explanation:

Akash, a contestant on a game show, gets to spin a prize wheel with a radius of 2 yards. The diameter of a circle is twice the length of its radius. Therefore, to find the prize wheel's diameter, we simply need to multiply the radius by 2.

Calculating Diameter:

Diameter = 2 × Radius
Diameter = 2 × 2 yards
Diameter = 4 yards

The prize wheel's diameter is 4 yards.

Write the following integers in order from least to greatest. -2, -4, 0, -6, -5

Answers

The following integers from least to greatest are as follows:

0, -2, -4, -5, -6

Answer:

-6, -5, -4, -2, 0

Step-by-step explanation:

Find them on the number line and read them from left to right.

__

You can also enter the numbers into a spreadsheet and use the 'sort' function.

_____

The key understanding here seems to be that negative numbers with a larger magnitude are smaller or less than negative numbers with a smaller magnitude:

-6 is less than -5

And all negative numbers are less than zero or any positive numbers.

What is the rectangular form of r=6/costheta

Answers

Answer:

 The line x=6.

Step-by-step explanation:

The usual translations between polar and rectangular coordinates are ...

x = r·cos(θ)y = r·sin(θ)

If we multiply the given equation by cos(θ), we get ...

  r·cos(θ) = 6

Using the above translation, this becomes ...

 x = 6

It takes Lisa 8 1/4 hours to give to her aunts house and takes Lisa 5 3/4 hours to get to her uncle's house how much farther does Lisa have to drive to get to her aunt's house in her uncle's house

Answers

Answer:

if she drove away she would have to drive 14 hours, or if it were i the same direction she would have to drive 2 1/2 hours

Step-by-step explanation:

8 1/4 + 5 3/4 = 14

8 1/4 - 5 3/4 = 2 1/2

Final answer:

Lisa has to drive an extra 2 1/2 hours to get to her aunt's house compared to her uncle's house. This is determined by converting the mixed numbers to improper fractions, subtracting the smaller fraction from the larger one, and simplifying the result.

Explanation:

The subject of this question falls under Mathematics, specifically subtraction of fractions. In this question, Lisa takes 8 1/4 hours to get to her aunt's house and 5 3/4 hours to get to her uncle's house. The time difference is the extra distance she must travel to reach her aunt's house compared to her uncle's house.

First, we will convert mixed fractions to improper fractions. 8 1/4 becomes 33/4 and 5 3/4 becomes 23/4.Next, subtract the smaller fraction from the larger one: 33/4 - 23/4 = 10/4.Finally, simplify the resulting fraction to obtain the solution. 10/4 simplifies to 2 1/2.

So, Lisa has to drive for an extra 2 1/2 hours to get to her aunt's house as compared to her uncle's house.

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An engineer measured the slopes of the four straight sections of a roller coaster track listed in the table below. The steepness of each slope is equal to the absolute value of the slope.

Answers

I believe it is section 3 because it is the closest to 0.

The histograms below show the ages of dogs at four different shelters. For which set of data is the mean most likely greater than the median?

Answers

Answer:  the answer is a

Answer:

a

Step-by-step explanation:

The prices of the 10 most popular truck tires at a tire store are shown here. What's the range of the prices?

$249.99, $239.99, $236.99, 223.99, 221.99
$219.99, $219.99, $212.49, $207.49, $201.49

A. $28.00
B. $48.00
C. $18.00
D. $48.50

Answers

D- $48.50

you have to subtract the largest and the smallest number to find the range

The range of the given data is $48.50, i.e. option D.

What is range?

The range is defined as a relation between a set of inputs having one output each.

We have,

The prices of the 10 most popular truck tires,

i.e.

$249.99, $239.99, $236.99, 223.99, 221.99, $219.99, $219.99, $212.49, $207.49, $201.49.

Now,

Arrange the given data in the ascending form,

i.e.

$201.49, $207.49, $212.49, $219.99, $219.99, $221.99, $223.99, $236.99, $239.99, $249.99.

Now,

We have,

The Greatest and the smallest number,

i.e.

Greatest number = $249.99

Smallest number = $201.49

So,

The range = Greatest number - Smallest number

i.e.

The range = $249.99 - $201.49 = $ 48.50

So,

The range of the given data is $48.50.

Hence, we can say that the range of the given data is $48.50, i.e. option D.

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Zack has two strings of equal length. One string is red the other is yellow. After cutting 2.5 meters of the red string and 3.8 M of the yellow string, the length of the red string is 1.5 times that of the yellow strain. Find the original length of the yellow string.

Answers

Answer:

6.4 m

Step-by-step explanation:

We have 2 expressions here.  The first one is the fact that r = y.  That's one of 2 equations.  The second one involves whats' left after cutting off certain lengths of each color string.  We cut 2.5 m from red, we cut 3.8 m from yellow.  We know that what's left of red is 1.5 times the length of what's left of yellow.  What's left of red is r - 2.5; what's left of yellow is y - 3.8.  We know that r = 1.5y, so filling that in with our corresponding expressions gives us

r - 2.5 = 1.5(y - 3.8)

Distribute to get

r - 25 = 1.5y - 3.2

Now from the first expression, r = y, so fill in y for r to get an equation in one variable:

y - 2.5 = 1.5y - 3.2

Combine like terms:

-.5y = -3.2 and divide to get

y = 6.4

Check it to make sure it works.  What's left of red should be 1.5 times the length of what's left of yellow and y = 6.4:

What's left of red: 6.4 - 2.5 = 3.9

What's left of yellow: 6.4 - 3.8 = 2.6

1.5 x 2.6 = 3.9, just like it should!

Factor completely. y2 - 12y + 32 A. (y + 4)(y + 8) B. (y - 4)(y - 8) C. (y + 18)(y + 2) D. (y - 18)(y - 2)

Answers

Ask: Which two numbers add up to -12 and multiply to 32?

-8 and -4

Rewrite the expression using the above

= (y - 4)(y - 8)

Answer:

The correct answer is option B.

Step-by-step explanation:

Given quadratic equation : [tex]y^2-12y+32[/tex]

Using middle term splitting theorem:

=[tex]y^2-12y+32[/tex]

=[tex]y^2-8y-4y+32[/tex]

=[tex]y(y-8)-4(y-8)[/tex]

=[tex](y-8)(y-4)[/tex]

y = 8, 4

The factors of given quadratic equation is (y-8)(y-4).

Find the measure of Angle A. Type the correct answer rounded to one decimal place.

Answers

Answer:

  22.6°

Step-by-step explanation:

Since all three sides of the right triangle are given, you can use any of the trig ratios to find the angle. I choose to use the tangent.

  tan(A) = BC/AC = 5/12

Then the inverse trig function tells you ...

  A = arctan(5/12) = 22.6°

Check the picture below.

make sure your calculator is in Degree mode.

How does A compare to B?

Answers

Answer:

a. [tex]A\geq B[/tex]

Step-by-step explanation:

[tex]sin\frac{\pi }{2} =1[/tex]

and

[tex]cos(-\pi )=-1[/tex]

Answer:

Sin (pi/2) > Cos (-pi)

Step-by-step explanation:

Sin (pi/2) = 1

Cos (-pi)  -1

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