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Answer:

(x-4)^2 -4 = y

Step-by-step explanation:

The graph is translated 4 to the right and 4 downwards.

Answer:

684 π

Step-by-step explanation:

volume of a sphere = (4/3) x (n) x (r^3)

n = 22/7

r = radius

volume of larger sphere

4/3 x n x 9³ = 972 n

4/3 x n x 6³ =288n

972n - 288n = 684n

Answer:

See attachment

Step-by-step explanation:

Given

[tex]Side\ 1 = 10cm[/tex]

[tex]Side\ 2 = 12cm[/tex]

[tex]\theta = 90^\circ[/tex]

Required [Missing from the question]

Draw the top of the cake

See attachment for reference.

From the attachment,

[tex]2cm = 1\ unit[/tex]

So:

[tex]Side\ 1 = 10cm[/tex]

[tex]Side\ 1 = 5 * 2cm[/tex]

Substitute [tex]2cm = 1\ unit[/tex]

[tex]Side\ 1 = 5 * 1unit[/tex]

[tex]Side\ 1 = 5\ units[/tex]

[tex]Side\ 2 = 12cm[/tex]

[tex]Side\ 2 = 6 * 2cm[/tex]

Substitute [tex]2cm = 1\ unit[/tex]

[tex]Side\ 2 = 6 * 1unit[/tex]

[tex]Side\ 2 = 6\ units[/tex]

This means that, the given side lengths will be represented by 5 units and 6 units on the grid, respectively.

See attachment for drawing

Answer: 50pi or about 157

Step-by-step explanation: Find the distance between the two points using the Pythagorean theorem, and since that is the radius double it to get the diameter, then multiply that by pi to get the answer. Hope this helps!

Answer:

Circumference ~ 157

Step-by-step explanation:

Use the distance formula to find the radius. The radius is 25. Plug 25 into the formula 2(pi)r to get 50pi or about 157.

Answer:

Vertex is (-4, -18)

Step-by-step explanation:

f(x) = [tex]ax^{2} +bx +c[/tex]

Let (h, k) be the vertex

An easy way to find h is to use the formula h = -b/2a

In your case where f(x) = [tex]x^{2} +8x - 2[/tex]   a = 2 and b = 8

So, h =  -8/2(1) = -8/2 = -4

Substitue -4 in for x to find k

k = ([tex]-4^{2}[/tex]) + 8(-4) - 2

  = (16) - 32 - 2

  = 16 - 32 - 2

  = -18

Vertex is (-4, -18)

Note:  Another way to find the vertex is to complete the square, but this can really be difficult in some cases

Answer:

Option D, (-4,-18)

Step-by-step explanation:

got it right on edge

Answer:

The significance of the sample is that at it is statistically significant at 0.01 level ( i.e. of observing the sample < 0.01 )

Step-by-step explanation:

The sample observation which is 121 mothers that take vitamin supplements have male babies with mean weight of : 3.67 kg

while the National average birth weight = 3.39 kg

probability of observing such a sample = 0.0015

Hence the significance of the sample is that at it is statistically significant at 0.01 level ( i.e. of observing the sample < 0.01 )

Answer:73 ft

Step-by-step explanation:

Answer:

(120 + 12.5pi) ft^2

Step-by-step explanation:

10ft x 12 ft = 120ft^2

10ft/2 = 5 ft (Radius)

Area of semi circle:

[tex]\frac{\pi r^{2} }{2} = \frac{\pi 5^{2} }{2} = 12.5\pi ft^{2}[/tex]

Area = (120 + 12.5pi) ft^2

Answer:

1. V=60m³ SA=94m²

2. V=32m³ SA=88m²

3. V=2000mm³ SA=1000mm²

4. SA=376.8cm² V=552.64cm³

5. SA=1130.4cm² V=1356.48mm³

Step-by-step explanation:

1. Volume=5*4*3=60m³

Surface Area=2*(3*4)+2*(5*3)+2*(4*5)=24+30+40=94m²

2. Volume=8*4*1=32cm³

Surface Area=2*(8*1)+2*(8*4)+2*(4*1)=16+64+8=88cm²

3. Volume=10*10*20=2000mm³

Surface Area=2*(10*10)+2*(20*10)+2*(20*10)=200+400+400=1000mm²

4. SA of the cylinder=(2πr*h)+(2*πr²)=(2*(3.14)*4*11)+(2*3.14*16)

=(276.32)+(100.48)=376.8cm²

Volume=hπr²=11*(3.14)*16=552.64cm³

5. SA of cylinder=(2πr*h)+(2*πr²)=(2*(3.14)*12*3)+(2*3.14*144)

=(904.32)+(226.08)=1130.4mm²

Volume=hπr²=3*(3.14)*144=1356.48mm³

Answer:

Option A

Step-by-step explanation:

Given expression = [tex] \frac{ - 1}{2} [/tex]

Lets multiply both numerator and denominator by -1.

[tex] = > \frac{ - 1 \times - 1}{2 \times - 1} [/tex]

[tex] = > \frac{1}{ - 2} [/tex]

Hence , Option A is the correct answer.

Answer:

p) = 17/30 or 0.56

q) = 191/60 or 3 11/60

Answer:

C. a translation of 1 unit right and 2 units up, followed by a dilation by a factor of 3

Step-by-step explanation:

Answer:

54.25

Step-by-step explanation:

Answer:

I give bases example the triangle pyramid

Answer:

The angles are adjacent because they have a common side and vertex. Basically, they are both right next to each other.

x = 28

Step-by-step explanation:

When (x + 6)° and 56° are added together, they need to equal 90° since they are both parts of a right angle.

(x + 6) + 56 = 90

x + 62 = 90

x = 28

Answer:

85 ° is the answer to the question

Answer:

85 degrees

Step-by-step explanation:

Angles in a triangle add up to 180 in total so to solve it add the two angles you know so 18+77 which is 95 than you subtract it from 180 so 180 - 95 is 85

Answer:

2x^2-x-3

(2x)(-3)

(x)

(1)

Step-by-step explanation:

Distribute

(2x^2) (-3x)

(2x) (-3)

Answer:

C.

Step-by-step explanation:

Edge2021

The graph of the answer is plotted and attached.

Inequality is the mathematical statement formed when two expressions are joined by an inequality operator.

The inequality is  –9x² + 4y² – 18x + 16y – 29 ≤ 0,

The inequality represents a hyperbolic inequality.

The graph of inequality is plotted and attached with the answer.

The shaded portion is the representation of inequality.

The shaded portion shows that the graph is a graph of a hyperbola.

To know more about Inequality

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Answer:

The probability that the mean of this sample of home purchases is between 173 and 174 homes

P(173≤X≤174) = 0.0936

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 175

Given that the standard deviation of the Population = 6

Let 'x⁻' be the mean of the random sample

Given that  x₁⁻ = 173

[tex]Z_{1} = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{173-175}{\frac{6}{\sqrt{60} } } =-2.58[/tex]

Given that  x₂⁻ = 174

[tex]Z_{2} = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{174-175}{\frac{6}{\sqrt{60} } } = -1.29[/tex]

Step(ii):-

The probability that the mean of this sample of home purchases is between 173 and 174 homes

P(X₁≤X≤X₂)      = P(Z₁≤Z≤Z₂)

                       = P(Z≤Z₂) - P(Z≤Z₂)        ( both values 'Z' values are negative)

                       = 0.5 -A(Z₁) - (0.5 -A(Z₂))

                      = |A(Z₂) -A(Z₁)|

P(173≤X≤174)     =   | A(2.58)-A(1.29)|

                  = 0.4951 - 0.4015       (∵ from normal table)

                = 0.0936

Final answer:-

The probability that the mean of this sample of home purchases is between 173 and 174 homes

P(173≤X≤174) = 0.0936

Answer:

The speed is: 0.0142MHz

Step-by-step explanation:

Given

[tex]C(s) = 1234s^2 - 35s + 1900[/tex]

Required

The processor speed when the cost is at minimum

First, differentiate C(s) with respect to s

[tex]C(s) = 1234s^2 - 35s + 1900[/tex]

[tex]C'(s) = 2468s - 35[/tex]

The cost is at minimum when [tex]C'(s) = 0[/tex]

So, we have:

[tex]C' = 2468s - 35 = 0[/tex]

[tex]2468s - 35 = 0[/tex]

Solve for s

[tex]2468s = 35[/tex]

[tex]s=\frac{35}{2468}[/tex]

[tex]s\approx0.0142[/tex]

Answer:

8.9

Step-by-step explanation:

8.94427191

Answer:

8.9

Step-by-step explanation:

8.94427191 the number 1 spot to the right of the decimal point is tenths. the number is 9 the number to the right of that is 4. unless that number 2 digits to the right of the decimal point is 5 or over the 9 stays the same

Answer:  = -8

Step-by-step explanation: Your welcome!

Answer:

20 people participated in the survey.

Answer:

50

Step-by-step explanation:

if im thinking right

im SOO sorrYYy if its wrong

Answer:

2300 represents the amount Michael initally depoisitedin his savings account.

Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The value 2,300 represented in the expression is representing the initial amount that was in the account.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given that the expression [tex]2,300(1.002)^{12t}[/tex] represents the dollar amount in the account after t years. Therefore, the value 2,300 represented in the expression is representing the initial amount that was in the account.

Learn more about Expression:

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Answer:

s= 100

r= 130

x= 38

y= 30

Step-by-step explanation:

Answer:

360 degrees

Step-by-step explanation:

Answer:

3. Likely

Step-by-step explanation:

Answer:

1)  regular price ⇒ $X

Sale price:75,24

Regular price: 100, X

2) The Ratio of the numbers in the first column equals the to ratio

of numbers in the second one

so.. [tex]\frac{75}{124}=\frac{100}{x} \\[/tex]

X=100 ×24/75

X=$32

Regular price-sale price=32-24=$8

hope it helps...