This data plot shows the number of cakes sold each day in Aunt Alice’s cake shop last month. What is the range of the data

Answer:

A'(4, -3) ; T'(-1, 4)

Step-by-step explanation:

Multiply the coordinates by 1/2, or divide them by 2 to get the new points.

A(8, -6) ⇒ A'(4, -3)

T(-2, 8) ⇒ T'(-1, 4)

Answer:

x = 3. y= 9

Step-by-step explanation:

2x +3 = -2x +15

4x = 12

x = 3

y 2(3) + 3 = 9

Answer:

330cm²

Step-by-step explanation:

CSA of a cylinder = 2πrh

(r = d/2 = 21/2 = 10.5 cm)

Putting the values of 2πrh;

2 x 22/7 x 10.5 x 5

2 x 22 x 1.5 x 5 *(10.5/7 = 1.5)

330 cm²

Answer:

The surface area of the square pyramid is 34.63cm².

Step-by-step explanation:

[tex]A=a^{2} +2a\sqrt{\frac{a^{2} }{4} +h^{2} } =3^{2} +2[/tex]×3×[tex]\sqrt{\frac{3^{2} }{4} +4^{2} }[/tex]≈34.63cm^2

Answer:

f−1(x) = [tex]\frac{4x}{6}[/tex]

Step-by-step explanation:

f(x) = 0.25(6)x, find f−1(x).

f(x) = 0.25(6)x

f(x) = [tex]\frac{6}{4}[/tex]x = [tex]\frac{6x}{4}[/tex]

f(x) = y

y =  [tex]\frac{6x}{4}[/tex]

Substitute y for an x & x for a y

x = [tex]\frac{6y}{4}[/tex]

Multiply both sides by 4

4( x ) = 4( [tex]\frac{6y}{4}[/tex] )

4x = 6y

Divide both sides by 6 to solve for y

[tex]\frac{4x}{6}[/tex] = y

y = [tex]\frac{4x}{6}[/tex]

so f−1(x) = [tex]\frac{4x}{6}[/tex]

Answer:

x = 10

Step-by-step explanation:

3x + 10 = 40

which X in this case means 10. Hope this helps!

Answer:

3

Step-by-step explanation:

2x+4=10

2(3)+4=10    2*3 = 6

6+4=10

10 = 10

Answer:

0.6 yards

Step-by-step explanation:

6 yards/10 hops = 0.6 yards per hop

Answer:

12.543

Step-by-step explanation:

Answer:

Cry about it wah wah wahhhhhhhh

Step-by-step explanation:

Answer:

F(5)= 22

F(9)= 34

Step-by-step explanation:

F(x)=3x+7

F(5)= 3(5)+7

F(5)= 15+7

F(5)= 22

F(9)= 3(9)+7

F(9)= 27+7

F(9)= 34

Answer:

Development costs: $2757

Promotion costs: $3155

Step-by-step explanation:

This might seem like a two-variable problem, but in actuality it's not - because the demand function is a sum of two components, each being independent and using only one variable, we can solve for the two separately.

Moreover, the price per unit and cost per unit is constant, so each product yields exactly $80 ($210 - $130).

Let's solve separately.

We need to maximize:

$80 * 160y/(y+4) - 1000y = $12800 * y/(y+4) - $1000*y

$80 * 170x/(x+7) - 1000x = $13600 * x/(x+7) - $1000*x

Let's go:

$12800 * y/(y+4) - $1000*y = $12800 * (1 - 4/(y+4)) - $1000y = $12800 - $51200/(y+4) - $1000*y

we analyze the derivative. $12800 is a constant, so we can skip it. Derivative of 1/(y+4) is -(y+4)^-2, derivative of $1000y is $1000.

deriv = $51200/(y+4)/(y+4) - $1000

We find the changepoints by analyzing $51200/(y+4)/(y+4) - $1000 = $0. We don't need to worry about y+4 = 0 because we cannot spend negative money on development/advertisement.

(y+4)^2 = $51.2

y+4 ~= 7.155417528 (or -y-4 = 7.1554... but it doesn't make sense because negative budget so we don't analyze).

y ~= 3.155417528

lastly, we should check that it's actually a maximum there - but it is, the original function goes to negative infinity.

rounding $1000y to the nearest dollar gives us $3155

Let's do the same for x:

$13600 * x/(x+7) - $1000*x = $13600 * (1 - 7/(x+7)) - $1000x = $13600 - $95200/(x+7) - $1000*x

deriv = $95200/(x+7)/(x+7) - $1000

$95200/(x+7)/(x+7) - $1000 = $0

(x+7)^2 = 95.2

(x+7) ~= 9.75704873412

x ~= 2.75704...

rounding $1000x to the nearest dollar yields $2757

Answer:

x > 49

Step-by-step explanation:

We have the inequality Square root of x is greater than 7, to solve. We need to isolate x.

When having a square root, you need to raise the square root to its second power, with that, do the same to 7 on the other sides :

(Square root of x)^2 > 7^2

x > 49

Answer:

Step-by-step explanation:

despacito

Answer:

120 units^2

Step-by-step explanation:

1/2bh

In this scenario rotate the triangle and you get 10 as the base and 24 as the height

1/2*10*24

12*10=120

Answer:

6,240 unit squared is the answer

Step-by-step explanation:

area=h(a+b)÷2

=2×1.1+3.4÷2

=4.5cm^2

Answer:

theta = 210°

Step-by-step explanation:

To convert we radians to degrees all we have to do is multiply the radians by π/180:

radians * (180 / π) = degrees

((7π) / 6) * (180 / π) = 210°

Answer:x=4/3y+8

Step-by-step explanation:

Step 1: Add 4 to both sides.

Step 2: Divide both sides by 1/2.

Answer:

3x-4y =24

Step-by-step explanation:

hope this helped xoxo

Answer:

The answer to this equations would be 1.3 repeated i included a image with how to go about working the problem out

Step-by-step explanation:

2/5×7500

2×1500

3000

RM=3000

It was a debate between the northerners and southerners (forgive my spelling). The northerners feared the addition of more slave states and a corresponding lack of reprenestation of their intrests in the North. For the southern slave holders, new western lands would be a boon (helpful) to enslaved people and the Louisiana purchase threatened to entrench and expand their suffering to western territories.

I got this on Khan Academy

Answer:

JH = 97.9

Step-by-step explanation:

25/12 = x/47

12x = 1175

x = 97.917

Answer:

x ≈ 12.8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Angle θ = 58°

Opposite Leg = x

Adjacent Leg = 8

Step 2: Solve for x

Answer:

D

Step-by-step explanation:

2.25x50=112.5

112.5 rounds up to 113, which is D

Answer:

33.75?

Step-by-step explanation:

2.25*15

33x33=1089

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hope it helps

Answer:

363

Step-by-step explanation:

33x33=1089

[tex]\sqrt[3]{1089}[/tex] = 363