Graph the image of this figure after a dilation with a scale factor of 2 centered at (2, 2).

Answer:

29

Step-by-step explanation:

To find the lower quartile you need to split it into 2 by finding the median

Set A: 73, 75, 79, 81, 84, 85

Set B: 47, 49, 51, 51, 55, 56

Now you have to find the median of each

A: 80

B: 51

Lastly, you subtract and get 29

Answer:

A =200.96 ft^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

The radius is 8

A = pi 8^2

A = 64 pi

Letting pi = 3.14

A = 64 ( 3.14)

A =200.96 ft^2

Answer:

[tex]\boxed{\mathrm{200.96 \: feet^2}}[/tex]

Step-by-step explanation:

Apply formula for the area of a circle.

[tex]area=\pi r^2[/tex]

The radius is 8 ft.

[tex]A=\pi (8)^2[/tex]

[tex]A=64\pi[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]A=64(3.14)[/tex]

[tex]A=200.96[/tex]

Example: we have a 2 by 3 rectangle with area of 2*3 = 6. If we cut the first dimension in half, then we have a 1 by 3 rectangle that has area 1*3 = 3. The area has decreased. To keep the area the same, we would have to increase the other dimension some specific amount.

The area of the figure decreases when the dimension is decreased

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the figure be represented as ABCD

where ABCD is a rectangle

Now , the measures of the sides of the rectangle be

The length of the rectangle = L

The width of the rectangle = W

And , Area of Rectangle = Length x Width

On simplifying , we get

Area of rectangle = LW

when the dimension of one of the unit is decreased , we get

when L = L/2

Area of rectangle = ( LW) / 2

So , the area of the figure is decreased bu ( 1/2 )

Hence , the area of the figure decreases

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Answer:

x ≤ -1

Step-by-step explanation:

The domain is the x-values.  Since the graph shows all numbers up to -1, the domain would be all numbers less than or equal to -1:

x ≤ -1

The correct option is A. The equation in point-slope form for the line perpendicular to y = -2x + 8 and passing through (-3, 9) is: y - 9 = 1/2(x + 3).

To find the equation of a line perpendicular to y = -2x + 8 that passes through the point (-3, 9), we need to determine the slope of the perpendicular line.

The given equation is in slope-intercept form, y = mx + b, where m represents the slope. In this case, the slope of the given line is -2.

Since the perpendicular line has a slope that is the negative reciprocal of -2, we can determine its slope as 1/2.

Now that we have the slope (1/2) and a point (-3, 9) on the line, we can use the point-slope form of a line to write the equation:

y - y₁ = m(x - x₁)

where (x₁, y₁) is the given point and m is the slope.

Plugging in the values, we get:

y - 9 = 1/2(x - (-3))

Simplifying:

y - 9 = 1/2(x + 3)

Rearranging to match the given options:

y - 9 = 1/2(x) + 3/2

The equation in point-slope form for the line perpendicular to y = -2x + 8 and passing through (-3, 9) is:

y - 9 = 1/2(x + 3)

Therefore, the correct option is A.

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Complete question is below

Identify an equation in point-slope form for the line perpendicular to

y=-2x+ 8 that passes through (-3,9).

A. y - 9 = 1/2(x+3)

B. y+3 = 3(x-9)

C. y - 9 = (x + 2)

D. y + 9 = 1/2(x – 3)

Answer:

1/2 (or) 0.50 (or) 50%

Step-by-step explanation:

10 out of 20 wedges are worth more than 10.

10/20 = 1/2 (or) 0.50 (or) 50%

Answer:

0.75

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

On edg 2020

Answer:

Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of the investment = $ 8,000  

Interest rate of the first account= 6% simple  

Interest rate of the second account= 12% simple  

Interest of the accounts in a year = $ 600  

2. How much did he invest in each account?

For answering the question, we will use the following equation:  

x = Amount invested in the first account  

8,000 - x = Amount invested in the second account  

0.06x + 0.12 * (8,000 - x) = 600

0.06x + 960 - 0.12x = 600

-0.06x = 600 - 960 (Subtracting 960 at both sides)

-0.06x = -360

x = -360/-0.06

x = 6,000 ⇒ 8,000 - x = 2,000  

Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.

Answer:

45 square inches

Step-by-step explanation:

Akira receives the prize at the science fair for having the most informative project her trophy is in the shape of a square pyramid and is covered in shiny gold foil how much gold foil did it take to cover the trophy including the bottom

Total surface  =  surface area of the base square + area of 4 triangles

Calculate the surface area of the base square

surface area of the square =  s^2

where s= side length

s=3 in

The surface area of the base  =s^2

=3^2

= 9 square inches

The surface area of the side triangles

The area of the triangle = (1/2)* side length* slant height

Side length=3 in

Slant height=6 in

substituting the values,

The area of the triangle =1/2*3*6

= 18/2

= 9 square inches

There are 4 triangles

The area of 4 triangles  =  4 x 9  

= 36 square inches

Therefore,

Total surface  =  surface area of the base square + area of 4 triangles

=  9 + 36

= 45 square inches

Answer:

IT'S 216 TRUST ME!

Step-by-step explanation:

Answer:

y=|x+1|

Step-by-step explanation:

The y value appears to be 1 more than the x value, so we need to add one to the x to make them even. (x+1)

But the y value doesn’t go below zero, so we need to add the absolute value brackets |x+1|

So y=|x+1|

The graph represents the equation : g(x) = |x + 1|

We have a graph given to us.

We have to write the algebraic expression depicting this graph.

The modulus of the function y = f(x) = x is given by -  

y = |x| = [tex]\left \{ {{x\;\;for\;x > 0} \atop {-x\;\;for\;x < 0}} \right.[/tex]

Using the above property, we can find out the number of solutions of any modulus equation.

The algebraic equation for the graph can be written as -

g(x) = [tex]\left \{ {{x+1;\;for\;x \geq 0} \atop {-x-1\;for\;x < 0}} \right.[/tex]

In the form of modulus function, we can write the above equation as -

g(x) = |x + 1|

Hence, the graph represents the equation : g(x) = |x + 1|

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Answer:

1. Both forward and backward

2. Only forward

Step-by-step explanation:

    The reason Statement 1 can be both forward and reverse is because is Bo and Mel are related then it will word forward and backward.

The reason Statement 2 can be only forward is because is the sprinklers are on then the grass is wet will work since it is saying ONLY the sprinklers are on. If it is reverse and the grass is wet if the sprinklers are ONLY on than that is false since if it rains than the grass can also be wet. So there are multiple ways that the grass can be wet hence the answers.

Answer:

Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse. Statement 1: If Bo is Mel’s sibling, then Mel is Bo’s sibling. / Statement 2: If the sprinklers are on, then the grass is wet.

Step-by-step explanation:

Answer:

The temperature order are;

(b) 96.62 K = (d) 96.62 K > (a) 48.31 K = (c) 48.31 K = (e) 48.31 K =  (f) 48.31 K

Arrangement in order from highest to lowest and alphabetically gives;

(b) ↔ (d) → (a)↔ (c)↔ (e)↔ (f)

Step-by-step explanation:

From the universal gas equation

P×V = N×k×T

Where:

P = Pressure

V = Volume

N = Number of molecules

k = Boltzmann constant = 1.38 × 10⁻²³ J/K

T = temperature

Therefore;

[tex]T =\dfrac{P \times V}{k \times N}[/tex]

Which gives;

(a) When P = 100 kPa = 100,000 Pa, V = 4 L = 0.004 m³, N = 6 × 10²³, we have

100000*0.004/(6*10^(23)*1.38*10^(-23)) = 48.31 K

(b) When P = 200 kPa = 200,000 Pa, V = 4 L = 0.004 m³, N = 6 × 10²³, we have

200000*0.004/(6*10^(23)*1.38*10^(-23)) = 96.62 K

(c) When P = 50 kPa = 50,000 Pa, V = 8 L = 0.008 m³, N = 6 × 10²³, we have

50000*0.008/(6*10^(23)*1.38*10^(-23)) = 48.31 K

(d) When P = 100 kPa = 100,000 Pa, V = 4 L = 0.004 m³, N = 3 × 10²³, we have

100000*0.004/(3*10^(23)*1.38*10^(-23)) = 96.62 K

(e) When P = 100 kPa = 100,000 Pa, V = 2 L = 0.002 m³, N = 3 × 10²³, we have

100000*0.002/(3*10^(23)*1.38*10^(-23)) = 48.31 K

(f) When P = 50 kPa = 50,000 Pa, V = 4 L = 0.004 m³, N = 3 × 10²³, we have

50000*0.004/(3*10^(23)*1.38*10^(-23)) = 48.31 K

Answer:

ab² - a²b

Step-by-step explanation:

a²b⁴ - b²a⁴ can be factored as a²b²(b² - a²) which becomes a²b²(b + a)(b - a). Since the numerator and denominator both have (a + b) and ab the final answer is ab(b - a) = ab² - a²b.

Step-by-step explanation:

You should always use the least number of significant figures.  The exception is exact numbers or constants.

For example, there are 60 minutes in an hour.  Even though this number has one significant figure, it is an exact number.  So 15 minutes converted to hours would be 0.25 hr.

Answer:

its not a right triangle

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 + 3² * ( 3 -1) = 2 + 9 * 2

                     = 2 + 18

                     = 20

Answer:

20

Step-by-step explanation:

2 + 3² · (3 - 1)

= 2 + 3² · 2 -- (3 - 1 = 2)

= 2 + 9 · 2 -- (3² = 9)

= 2 + 18 -- (2 · 9 = 18)

= 20

Answer:

125

Step-by-step explanation:

So saying something went up by 25% means that it is essentially

X + .25X

So in this case X = 100 and .25X = 25

So 100 + 25 = 125

Answer:

A, B, C

Step-by-step explanation:

4 - (-5) + 0

4 - (-5) = 4 + 5 (because a negative + negative = positive)

4 + 5 = 9

a, b and c all equal 9

hopefully this helped you!! :3

Answer:

1) 0.1504

2) 0.432

Step-by-step explanation:

1) The given information are;

The proportion of the morning appointments that are with elderly patients = 60%

The number of patients in the appointments  = 10 patients

The proportion of the morning appointments that are with non-elderly patients = 100 - 60 = 40%

The binomial probability distribution is given as follows;

[tex]P(X = r) = \dbinom{n}{r}p^{r}\left (1-p \right )^{n-r}[/tex]

[tex]P(X = 0) = \dbinom{10}{0}0.6^{0}\left (1-0.6 \right )^{10}[/tex] = 0.000105

[tex]P(X = 1) = \dbinom{10}{1}0.6^{1}\left (1-0.6 \right )^{9}[/tex] = 0.0016

[tex]P(X = 2) = \dbinom{10}{2}0.6^{2}\left (1-0.6 \right )^{8}[/tex]= 0.01062

[tex]P(X = 3) = \dbinom{10}{3}0.6^{3}\left (1-0.6 \right )^{7}[/tex]= 0.0425

The probability that the first four patients are elderly is 0.000105 + 0.0016 + 0.1062 + 0.0425 = 0.1504

2) The probability that exactly 2 out of 3 morning patients are elderly patient is given as follows

[tex]P(X = 2) = \dbinom{3}{2}0.6^{2}\left (1-0.6 \right )^{1}[/tex]= 0.432

Answer:

Step-by-step explpointsanation:

Answer:

Whenever  [tex]a\leq 5[/tex].

Step-by-step explanation:

We can play around with some numbers and develop some rules for this equation.

Note that the number 5 and -5 are used here, so let's try using 5 as a.

[tex]|5-5| = 5-5\\|0| = 0\\0 = 0[/tex]

So 5 works. Let's try a random number like 3.

[tex]|3-5| = 5-3\\|-2| = 2\\2 = 2[/tex]

Okay, with this info we know that we might be able to develop one rule that [tex]a<5[/tex]. Just to test, let's try 0, -3, and -5.

[tex]|0-5| = 5-0\\|-5| = 5\\5 = 5[/tex]

Zero works.

[tex]|-3 - 5| = 5-(-3)\\|-8| = 8\\8 = 8[/tex]

-3 works.

[tex]|-5 -5| = 5-(-5)\\|-10| = 10\\10 = 10[/tex]

-5 works. Now, this might stop here making the equation [tex]-5 \geq a \leq 5[/tex], so let's test a number outside of -5 - say -20.

[tex]|-20 - 5| = 5-(-20)\\|-25| = 25\\25 = 25[/tex]

Yes! This works, so a works for this equation as long as [tex]a \leq 5[/tex].

Hope this helped!

Answer:

l = 2cosΘ p = see attachment

Step-by-step explanation:

√2+√2+2cos 4Θ

√2+√2(1 + cos 4Θ)

√2 + √2(2 cos² 2Θ)

√2 + √4 cos² 2Θ                      cos 2Θ = 2 cos²Θ - 1

√2 + 2cos 2Θ

√2(1 + cos 2Θ)

√4cos²Θ

2cosΘ

Answer:

Step-by-step explanation:

I'm only going to do the first one, because the tangent problem is going to give us both night mares.

Start with cos(4*theta), There are various places on the internet which solves this, so I won't bother. Basically it comes down to using cos(2*theta).

cos(4theta) = 8*cos^4(theta) - 8*cos^2 (theta) + 1

2*cos(4*theta) = 16*cos^4(theta) - 16cos^2(theta) + 2

2 + 2cos(4*theta) = 16cos^4(theta) - 16cos^2(theta) + 4

(2 + 2cos(4*theta) = (4 cos^2(theta) - 2 )^2

sqrt(2 + 2cos(4theta) = 4cos^2(theta) - 2

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

sqrt(2 + 4cos^2(theta) -2 ) = sqrt( 4 cos^2(theta) = 2 cos(theta) = RHS

Answer:

15.62 = x

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

10 ^2 + 12^2 = x^2

100 +144 = x^2

244 = x^2

Take the square root of each side

sqrt(244) = sqrt(x^2)

15.62049935 = x

Rounding to the nearest hundredth

15.62 = x

Answer:

15.62

Step-by-step explanation:

We can use the Pythagorean Theorem.

10^2+12^2=c^2

100+144=c^2

244=c^2

15.62=c, or x=15.62

Answer: The area of the regions covered by grass is approximately 313.375 sq ft.

Step-by-step explanation:

Given: A company is building a new park in the shape of a circle with a 25 ft diameter.

Then radius = [tex]\dfrac{25}{2}=12.5\ ft[/tex]

Required area = Area of circle - Area of rectangle + Area of triangle

Formula: Area of circle = [tex]\pi r^2[/tex]

Area of rectangle = length x width

Area of triangle = 0.5 x base x height

Area of circle = [tex](3.14)(12.5)^2=490.625\ \text{ft}^2[/tex]

Area of rectangle = 20 ft x 10ft = 200 ft²

Area of triangle = 0.5 x 7 x 6.5 = 22.75 ft²

Required area = 490.625 -200+22.75 = 313.375 ft²

Hence, The area of the regions covered by grass is approximately 313.375 sq ft.

Answer:

A. 85

Step-by-step explanation:

SInce nickels are worth 5 cents, the number of pennies must end with an 8 or a 3 in order for the total to end with a 3 ($9.83)

Answer:

$112.50

Step-by-step explanation:

So first you will need to understand I=PRT, [tex]I[/tex] stands for the interest on the original investment, P stands for the amount of the original investment, R stands for the interest rate which is supposed to be in decimal form, and T is the time or the number of years you leave the money.

    So the equation if you plug in everything would be I= 1,250 times 0.03 times 3. So if you multiply all of the numbers together you would get $112.50. And that is the correct answer

Answer:

sure

Step-by-step explanation:    

I am bob and I work at a restaurant. I notice at 4 and 6 am 2 people come into the restaurant and at 7 and 8 pm 2 people come, but at 9 and 10 pm 8 people come in. So I graph the data and i find out that the graph is skewed to the right as most of the data points are more to the right/positive part of the graph

Answer:

81.1

Step-by-step explanation:

The formula to find the cirumference is C=πd

We know d=diameter

so.. C=25.8π

That's gives us 81.053

round it after to approximately 81.1

Answer:

find the equation to find a circumference of circle with that diameter

Step-by-step explanation:

google

Answer:

Marilyn likes classical

Donna and Valr likes either pop or hiphop