a sequence is a set of

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:

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.

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:

Infinite/many

Step-by-step explanation:

3x + 7 + 2x = 5x + 7

3x + 2x + 7 = 5x + 7

5x + 7 = 5x + 7

5x - 5x + 7 = 7

7 = 7

Infinite solutions

Answer: many (all real numbers)

Step-by-step explanation:

1) add 2x and 3x to give you 5x

You now have 5x+7=5x+7

2) you can simplify this by subtracting 7 on both sides and dividing by 5

3) you are then left with x=x

Answer:

15

Step-by-step explanation:

First do, 30% + 45% = 75%. Then do, 100-75=25.

Lastly,

proportions:

   x/60 = 25/100

So your answer is, 15.

Answer:

649

Step-by-step explanation:

Given the expression :

__ ÷ 18 > 86

Let blank = y

y ÷ 18 > 36

y / 18 > 36

Multiply both sides by 18

(y / 18) * 18 > 36 * 18

y > 648

Hence, the least whole number which can make the statement true is (648 + 1) = 649

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:

All systems have 2 real solutions.

Explanation: there are X and Y unknowns.

Answer:

5050 and 100 pairs

Step-by-step explanation:

Answer:

cotA. cos(30° - A) - sin(30° - A) = √3/2

⇔

Step-by-step explanation:

Answer:

Option F is true.

Step-by-step explanation:

The rule of reflection across the x-axis

P(x, y) → P'(x, -y)

For example, when a point P with coordinates (1, 2) is reflected across the x-axis, the coordinates of the image of point P will be: P'(1,-2).

i.e.

P(x, y) → P'(x, -y)

P(1, 2) → P'(1, -2)

Now, given FGH with vertices F(-1, 3), G(-5, 1), and H(-3, 5) reflected by Rx-axis.

Using the  rule of reflection across the x-axis

Thus, the coordinate of vertices F'G'H the image of FGH will be:

F(-1, 3) → F'(-1, -3)

G(-5, 1) → G'(-5, -1)

H(-3, 5) → H'(-3, -5)

Hence, option F is true.

Answer: after about 96 Minutes

Step-by-step explanation:

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:

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

The system of equations is x + y = 15 and 0.10x + 0.25y = 2.85. Then the number of dimes and quarters will be 6 and 9, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Madelyn has a total of 15 dimes and quartets in her piggy bank. The total amount of money in her piggy bank is $2.85.

Let 'x' be the number of dimes and 'y' be the number of quarters. Then the equations are given as,

0.10x + 0.25y = 2.85       ....1

x + y = 15                         ....2

From equations 1 and 2, then we have

0.10(15 - y) + 0.25y = 2.85

1.5 - 0.10y + 0.25y = 2.85

0.15y = 1.35

y = 9

Then the value of the variable 'x' is given as,

x + 9 = 15

x = 6

The system of equations is x + y = 15 and 0.10x + 0.25y = 2.85. Then the number of dimes and quarters will be 6 and 9, respectively.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ5

Step-by-step explanation:

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

Answer:

"Dubble" bought 10 rews for $2.00 each and 1 corazs for $8.00 each

-I put quotation marks on Dubble bc i didnt know if it was a boy or girl name sorryyy its.. um.. unique :)          -

Step-by-step explanation:

The price for the rews is 10x 2 because the price of each is $2 and he got 10 so he spent $20 on rews.

Then you subtract the total amount of money "Dubble" used buying these things and the amount of money "Dubble" used on the rews which is 32-20=8

The last step is that you divide 8 by the pice of each corazs which is 8 divided by 8 so the answer is 1.

Hope this helped you sorry im a little late bubs.<3

Answer:

1-1/4 cups (1 and 1/4 cups) or 1.25 cups

Step-by-step explanation:

To find the answer you need to take the total volume (5-5/8 cups) and divide it by the number of bottles you have:

5-5/8 divided by 4-1/2

There are two easy ways to do this: you can convert the mixed fractions into decimal form (A) or into improper fractions (B).

A)

First, convert to decimal form:

5-5/8 = 5.625 and 4-1/2 = 4.5

Then, you divide them:

5.625 / 4.5 = 1.25 (converted back to fraction form, if thats what you need, is 1-1/4)

B)

First, convert to mixed numbers:

5-5/8 = 45/8 and 4-1/2 =9/2

Then, you divide them:

45/8  /  9/2

When you divide fractions, you multiply by the inverse of the number you're dividing by (that means swapping the numerator and denominator):

45/8  *  2/9  =  90/72 (converted back to a mixed fraction, this equals 1-1/4)

Answer:

55

Step-by-step explanation:

12 x 5 = 60

60-5 = 55

55 is not prime

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:

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

2x = y

Answer:

Candy = $ 0.5

Soda = $ 4.0

Step-by-step explanation:

x + 2y = 5

x + 4y = 6

2y = 1

y = 1/2

= two candies were added and the price increased by 1 dollar, meaning that the a single candy is 0.5 dollar

1 candy = 0.5

x + 2(0.5) = 5

x + 1 = 5

x = 4

Answer:

29/22

Step-by-step explanation:

Let x = 1.31818181818....

Then, 10x = 13.18181818..., and 1000x = 1318.18181818..... Subtracting the first equation from the second, we get that 990x = 1305. This means that x = 1305/990. In lowest terms, this is 29/22.

Answer:

one and fifty-four thousandths

Step-by-step explanation:

The 1 is easy.

The 4 is in the thousandths place, so the decimal part is 54/1000.

Answer: one and fifty-four thousandths

1. Geneva has 24 points. Then her spin lands on blue. What is her score now? Explain.

Blue = + 4. This means that you will need to add 4 to 24, causing Geneva's new amount of points to be 28. You could put down,

Geneva now has 28 points. Blue is equal to +4, so I added 24 + 4 to get 28.

2. Geneva and Juan start a new game. Each player has 0 points.

a. Geneva's first two spins are yellow and red. What is her score now? Explain.

Geneva's score is now -2. Yellow is equal to -4, red is equal to +2. -4 + 2 = -2.

b. Juan's first two spins are red and green. What is his score now? Explain.

Red is equal to +2 and green is equal to -1. That means that Juan has 1 point because 2 + -1 = 1.

c. Which player has a greater score now? Explain.

Juan has a greater score. He has a greater score because 1 is greater than -2.

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:

I have a feeling it's 5.36, 275, 336, 535.

Sorry if I'm wrong.

Step-by-step explanation:

Answer:

C is the answer........

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.