How long is the drawing of that piece?

Answer:

1 page every 0.5hours, or 1 page every 30 minutes. The equation is

2x = y

Answer:

(6x^4-7)(6x^4+7)

Step-by-step explanation:

36x^8-49

1. look for a gcf. since there isn't one, you move on to the next step.

2. what multiplies to what you need. you can do box method or diamond method.

3. (6x^4-7)(6x^4+7)

Answer:

C

Step-by-step explanation:

Answer:

17.52%

Step-by-step explanation:

65.35/11.45 = 0.1752

.1752 * 100

= 17.52

Answer:

There are 26.75 gallons in the pool.

Step-by-step explanation:

Divide 42.8 by 8, multiply the quotient by 5.

Answer:

26.75

Step-by-step explanation:

42.8 * 5/8 = 26.75

Answer:

D. 1/3^3

Step-by-step explanation:

Divide 3/3 as usual and get 1.

When dividing exponents, you are actually subtracting them. 5-8 = -3.

D is the answer because positive exponents in the denominator of the fraction is the same as a negative exponent in the numerator.

The rule with exponents is that when dividing similar bases with different exponents (or power), you subtract the exponents respectively.

3⁵ / 3⁸ = 3⁽⁵ ⁻ ⁸⁾ = 3⁻ ³ = 1 / 3³

So the answer is

D) 1/3³

Answer:

Step-by-step explanation:

I hope this helps!

Answer:

a) The maximum height of the ball is 272.25 feet

b) The balls take 8 seconds to hit the ground.

Step-by-step explanation:

a) You know that the quadratic function h(t)=−16*t²+124*t+32 models the ball's height about the ground, h(t), in feet, t seconds after it was thrown.

Being a quadratic function of the form:

f (x) = a*x² + b*x + c

The vertex of a quadratic or parabola equation is the highest or lowest point on the graph corresponding to that function. When a> 0, the vertex of the parabola is at the bottom of it and indicates the minimum of the function. When a <0 the vertex is at the top and indicates the maximum of the function.

The value of x at the vertex is calculated by the expression:

[tex]x=\frac{-b}{2*a}[/tex]

The value of y at the vertex is calculated by substituting the value of x at the vertex into the quadratic function.

In this case, being a=-16, b=124 and c=32  you get that the maximum time is:

[tex]x=\frac{-124}{2*(-16)}=3.875[/tex]

Then a maximum height of:

h(3.875)=−16*(3.875)²+124*3.875+32

h(3.875)= 272.25

The maximum height of the ball is 272.25 feet

b) When the ball hits the ground the height is zero. So h (t) = 0:

0=−16*t²+124*t+32

Applying the resolvent:

[tex]\frac{-b+-\sqrt{b^{2} -4*a*c} }{2*a} =\frac{-124+-\sqrt{124^{2} -4*(-16)*32} }{2*(-16)}[/tex]

you get:

[tex]\frac{-124+\sqrt{124^{2} -4*(-16)*32} }{2*(-16)} =-0.25[/tex]

[tex]\frac{-124-\sqrt{124^{2} -4*(-16)*32} }{2*(-16)} =8[/tex]

Since the time cannot be negative, the balls take 8 seconds to hit the ground.

Answer:

2540

Step-by-step explanation:

25% is a quarter of 100% so if 635 is 25% you multiple 635 x 4 to get your final answer concluding in 2540. if i'm wrong let someone else correct me :b

Answer:

the answer is b

Step-by-step explanation:

Answer:

D i believe

Step-by-step explanation:

hope this helped!!!

-BB

9514 1404 393

Answer:

  $90

Step-by-step explanation:

Let's consider the remaining money. If x represents the amount Arlene started with, then the remaining amounts are ...

  after first store: x -(0.4x +4) = 0.60x -4

After spending 50% of her money, the amount remaining will be 1-50% = 50%. Then spending 5 more dollars reduces the amount remaining by another 5.

  after second store: (0.60x -4)(0.50) -5 = 0.30x -2 -7 = 0.30x -7

After spending 60% of her money, the amount remaining will be 1-60% = 40%. Then spending 6 more dollars reduces the amount remaining by another 6.

  after third store: (0.30x -7)(0.40) -6 = 0.12x -2.80 -6 = 0.12x -8.80

This is reported to be $2, so we have ...

  0.12x -8.80 = 2

  0.12x = 10.80

  x = 90

Arlene started shopping with $90.

_____

Check

At the first store, Arlene spent 0.40×$90 +$4 = $40, so she had $90-40=$50 remaining.

At the second store, Arlene spent 0.50×$50 +$5 = $30, so she had $50-30=$20 remaining.

At the third store, Arlene spent 0.60×$20+$6 = $18, so she had $20-18 =$2 remaining.

Answer:

Step-by-step explanation:

steps are below

step 1

y^3-8y^2+19y=12  equation

step 2

y^3-8y2+19y(-12)=12(-12)  minus 12 from both sides

y^3-8y^2+19y-12=0

step 3

(y-1)(y-3)(y-4)=0  add brackets

step 4

(y-1)(y-3)(y-4)=0  factor

step 5

y-1=0 or y−3=0 or y-4=0  set them equal

Answer:

y=1 or y=3 or y=4

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

First situation

More than 3 hours

At least 10

15

75

Step-by-step explanation:

Let x be the number of hours

The equation will be

[tex]5x>15\\\Rightarrow x>\dfrac{15}{5}\\\Rightarrow x>3[/tex]

So, she needs to work more than 3 hours in order to make more than $15.

The situation that represents [tex]5x>15[/tex] is the first one.

Let x be the additional number of cans

The inequality will be

[tex]x+5\geq15\\\Rightarrow x\geq 15-5\\\Rightarrow x\geq 10[/tex]

So, the additional number of cans to be bought is at least 10.

Let x be the number of comic books Clarice has.

[tex]x>15[/tex]

So, Clarice needs to have more than 15 comic books.

Let x be age of Elizabeth

The equation will be

[tex]x=5\times 15\\\Rightarrow x=75[/tex]

So, Elizabeth is 75 years old.

Step-by-step explanation:

Initial dimension of a sand castle is 54 inches by 77 inches. Mike decided to change the size, making it 112 inches by 38 inches.

He wanted to dug a moat around it.

The perimeter of moat with initial dimensions,

P = 2(54+77)

= 262 inches

The perimeter of moat with new dimensions,

P = 2(112+38)

= 300 inches

Difference in perimeter = 300 - 262

= 38 inches

Hence, the new dimension is 38 inches longer than the initial dimensions.

Answer: 5 pounds

Step-by-step explanation:

80 / 16 = 5

Answer:

5 pounds

Step-by-step explanation:

Hope this helps!

Answer:

$6.08

Step-by-step explanation:

8% = 0.08

76 × 0.08

= $ 6.08

Answer:

42 gifts.

Step-by-step explanation:

14/2=7

7*6=42

Answer:

the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Volume = 13in * 9in * 2in = 234in³.

Answer:

234 inches³

Step-by-step explanation:

Formula for volume of a prism = [tex]L \times W \times H[/tex] (L = length, W = width, H = height)

[tex]\therefore[/tex] volume for baking dish = 13 × 9 × 2

                                          = 234 inches³

Hope this helps :)

Step-by-step explanation:

do 590 divided by 90 if that doesn't work multiply it

Answer:

625 cm³ and 64000 cm³

Step-by-step explanation:

Given

x = [tex]\sqrt[3]{V}[/tex] ( cube both sides )

x³ = V

(a)

x = 25 cm , then

V = 25³ = 625 cm³

(b)

x = 40 cm , then

V = 40³ = 64 000 cm³

Answer:

A

Step-by-step explanation:

Given the 2 equations

2x + y = 13 → (1)

x - y = - 4 → (2)

Add the 2 equations term by term to eliminate the y- term, that is

3x = 9 ( divide both sides by 3 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

2(3) + y = 13

6 + y = 13 ( subtract 6 from both sides )

y = 7

solution is (3, 7 ) → A

Answer:

Step-by-step explanation:

2x+y=13

x - y =-4 lets add both equations

3x=13-4

x=9/3    ,   x=3

3-y=-4,   y=7

choice A

Answer:

Option D: f(a) = 2a²+2a-4 is the correct answer.

Step-by-step explanation:

Given that:

f(x)=2x²+2x-4

We will check the function at the given value;

A. f(0)

Putting x=0 in given function

f(0) = 2(0)²+2(0) - 4

f(0) = 0+0-4

f(0) = -4

B. f(-1)

Putting x=-1

f(-1) = 2(-1)²+2(-1)-4

f(-1) = 2(1) -2-4

f(-1) = 2-6

f(-1) = -4

C. f(b+1) = 2b²+6b-4

Putting x=b+1

f(b+1) = 2(b+1)²+2(b+1)-4

f(b+1) = 2(b²+2b+1)+2b+2-4

f(b+1) = 2b²+4b+2+2b+2-4

f(b+1) = 2b²+6b

D. f(a) = 2a²+2a-4

Putting x=a

f(a) = 2(a)²+2(a)-4

f(a) = 2a²+2a-4

Hence,

Option D: f(a) = 2a²+2a-4 is the correct answer.

Answer:

Answer is = 1

Step-by-step explanation:

Hope it's answered you

Answer:

nice

Step-by-step explanation:

9514 1404 393

Answer:

  y = 38x

Step-by-step explanation:

The constant of proportionality (k) is the value of y when x=1. The table shows that to be 38. Then the equation is ...

  y = kx

  y = 38x