An object is launched directly in the air at a speed of 32 feet per second from a platform located 8 feet in the air. The motion of the object can be modeled using the function f(t)=−16t2+32t+8, where t is the time in seconds and f(t) is the height of the object. How long, in seconds, will the object be in the air before hitting the ground? Round your answer to the nearest hundredth of a second. Do not include units in your answer.

Answer:

  D) x² − xy − 100 = 0

Step-by-step explanation:

You want an expression for "An unknown integer, multiplied by the unknown integer minus a different unknown integer, equals 100."

Let x represent the unknown integer, and y represent the different unknown integer. Their difference will be (x -y). When that is multiplied by x and the result equal to 100, we have ...

  x(x -y) = 100

Eliminating parentheses using the distributive property, we have ...

  x·x -x·y = 100

  x² -xy = 100

Subtracting 100 gives an expression equal to zero:

  x² -xy -100 = 0 . . . . . . . matches choice D

Answer:

The slope is -1

Step-by-step explanation:

y=mx+b where m is the slope

y =-x+7 can be also be written as y=-1x +7

So therefore the number infront of x is considered the slope

-1

Answer:

Slope  m  =  −  1

Y-intercept  =  7

Answer: 126 degrees

Formula number of sides -2 times 180 = total degrees for polygon

5-2=3x180= 540

Add the 78+132+137+67=414

540-414= 126

Step-by-step explanation:

Answer:

the answer is 17

Step-by-step explanation:

You divide 8 and 136 and get 17, you multiply 17 and 8 to double check your answer, Hope this helps :P!

Answer:

4

Step-by-step explanation:

pi*r^2

just put each number where r is to find out the answer

Answer with Step-by-step explanation:

a.If the circle has circumference of [tex]6\pi[/tex] in,then it has a diameter of 3 in.

Circumference of circle=[tex]6\pi[/tex]in

We know that

Circumference of circle=[tex]2\pi r[/tex]

Using the formula

[tex]6\pi=2\pi r[/tex]

[tex]r=\frac{6\pi}{2\pi}=3[/tex]in

Diameter of circle=[tex]2\times 3=6[/tex]in

It is false.

b.f the circle has diameter of 2 inches,then it has a circumference of 6.28 in.

Diameter,d=2 in

Circumference of circle=[tex]\pi d=3.14 \times 2=6.28[/tex]in

It is true.

c.If the circle has a circumference of [tex]2\pi[/tex]in then it has an area [tex]\pi[/tex] square inches.

Circumference=[tex]2\pi[/tex]in

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

[tex]r=\frac{2\pi}{2\pi}=1[/tex]in

Area of circle=[tex]\pi r^2=\pi(1)^2=\pi in^2[/tex]

It is true.

d.If the circle has a circumference of [tex]\pi[/tex]in then it has an area [tex]0.5\pi[/tex] square inches.

Circumference=[tex]\pi[/tex]in

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

[tex]r=\frac{\pi}{2\pi}=\frac{1}{2}in[/tex]

Area of circle=[tex]\pi(\frac{1}{2})^2=0.25\pi in^2[/tex]

It is not true.

e.If the circle has a radius of 1.5 inches,then it has an area of 7.065 square inches.

Radius,r=1.5 in

Area of circle=[tex]3.14\times (1.5)^2=7.065in^2[/tex]

It is true.

Answer:

750 adult tickets

486 student tickets

Step-by-step explanation:

5 x 150=750 adult tickets

486 student tickets

Plz give brainliest  need 1 more

Answer:

mean = 24

Step-by-step explanation:

In a stem-and-leaf plot, each leaf represents a number or piece of data.

Each the leaf will only show the last digit of the number, and the stem will have the rest.

Examples:

stem value of 1 with a leaf value of 2 = 12

a stem value of 3 with a leaf value of 0 = 30

So, this is your plot:

Stems| Leaves

  1      |   2  3  5

  2     |   8  8

  3     |   0

  4     |   2

Your data is 12, 13, 15, 28, 28, 30, 42.

Add up all these numbers and divide by the number of leaves.

Sum of data = 12 + 13 + 15 + 28 + 28 + 30 + 42 = 168

Number of leaves = 7

168 ÷ 7 = 24

∴ The mean is the values in the stem-and-leaf plot is 24.

Answer:

40% decrease

Step-by-step explanation:

Say the percent decrease is x%. Then, we can write the equation:

65 - x% * 65 = 39

Notice that 65 is a common factor of both terms on the left, so factor that out:

65 * (1 - x%) = 39

Divide by 65 on both sides:

1 - x% = 0.6

Subtract 0.6 from and add x% to both sides:

x% = 0.4

Remember that % simply means "out of 100", so x% = x/100:

x/100 = 0.4

Multiply by 100:

x = 40

So the percentage decrease is 40%, or the percent increase is -40% (whichever way the question asks).

Hope this helps!

Answer:

p = 40%

Step-by-step explanation:

65 - p%65 = 39

65 - 65p/100 = 39

6500 - 65p = 3900

6500 - 3900 = 65p

65p = 2600

p = 2600 : 65

p = 40%

Answer:

Domain = x E R

Step-by-step explanation:

Since an exponential function has no restriction on the "x" value, its domain can range from anywhere on the plane of "x."

Answer:

16/25

Step-by-step explanation:

We have 4 red marbles and a total of 4 + 1 = 5 marbles.

Probability is simply (# times a specific event can occur) / (# times any event can occur).

Here, the probability of drawing a red marble is: 4/5 (because there are 4 red marbles to choose from and a total of 5 marbles to choose from).

We replace the marble afterward, so the probability that the second pick is also red would still be 4/5.

Then, multiply the two fractions together: (4/5) * (4/5) = 16/25.

Hope this helps!

Answer: x ≤ 120

Step-by-step explanation: To get x by itself in this inequality, since it's being divided by -6, we must multiply both sides by -6 just like we would if we were solving an equation.

But here is the trick you have to

watch out for with inequalities.

When you multiply or divide both sides of an inequality by a

negative, you must switch the direction of the inequality sign.

So our second step in this problem reads x ≤ 120.

Please give this idea your full attention. Even the most advanced algebra students will sometimes forget to switch the direction of the inequality sign when multiplying or dividing both sides of an inequality by a negative.

Answer:

Answer is D. Increase his output.

Refer below.

Step-by-step explanation:

Mark owns a cattle ranch near Hugo, Oklahoma. Mark is currently producing beef at an output level where marginal revenue exceeds marginal cost. In order to

maximize his profit, Mark should increase his output.

Answer:

see explanation

Step-by-step explanation:

Given that 40 people liked cats, that is 20 women and 20 men

Then the dual bar representing 20 is made up of 4 frequency bars

Then each frequency bar represents 20 ÷ 4 = 5 people

Thus

dogs = 25 (men) + 30 (women) = 55

hamster = 15 ( men) + 5(women) = 20

other = 10(men) + 15(women) = 25

Favourite pet frequency table

favourite pet     frequency

    cat                      40

    dog                     55

   hamster               20

     other                  25

A total of 40 + 55 + 20 + 25 = 140

Answer: The answer is 4!

6/1.5= 4

Answer:

between 1 1/8 acres and 2 1/4 acres

Step-by-step explanation:

Answer: y=-4x+8

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

These two shapes are similar, which means that their corresponding angles are congruent.

Angle L corresponds to angle X. We know that <L = 60, which means that <X is also equal to 60.

Thus, the answer is 60 degrees.

Hope this helps!

Answer:

60°

Step-by-step explanation:

The two figures are similar and they have the same distribution of angles.

Angle X corresponds to Angle L = 60°

Answer: (7x + 4)(x - 1)

Step-by-step explanation:

7x^2 - 3x - 4

ax^2 = 7x^2

bx = -3x

c = - 4

4 x -7  =  -28

4 + -7  =  -3

4 and -7 are the number which ahs the product of ac = -28 and b = -3.

factored form : [tex]7x^{2} - 7x + 4x - 4[/tex]

                      = [tex]7x(x - 1) + 4(x - 1)[/tex]

                      = [tex](7x + 4)(x - 1)[/tex]

Answer:

1. -7 and 4

2. (7x + 4)(x - 1)

Answer:

[tex]\alpha_{2} = \frac{5}{4}\cdot \alpha_{1}[/tex], for all [tex]\alpha_{1} \in \mathbb{R}[/tex]

Step-by-step explanation:

Vectors are parallel to each other if:

[tex]\vec u = \beta \cdot \vec v[/tex]

[tex](\alpha_{2}, 5) = (\beta\cdot \alpha_{1}, \beta \cdot 4)[/tex]

The value of [tex]\beta[/tex] is:

[tex]\beta = \frac{5}{4}[/tex]

Then, the following relationship is found:

[tex]\alpha_{2} = \frac{5}{4}\cdot \alpha_{1}[/tex], for all [tex]\alpha_{1} \in \mathbb{R}[/tex]

Answer:

just do your homework

Step-by-step explanation:

Answer:

answer is the page is to blurry for my windows 95 can you make it into a better picture so i can help

Step-by-step explanation:

Answer: 184

Step-by-step explanation: i looked

Answer:

21, 42, 63, 84

Step-by-step explanation:

Numbers that have a star and a circle on them are all multiples of 3 and 7. As there are less multiples of 7 between 1-100 we should list the multiples of 7 and then check if they are also multiples of 3.

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98

A quick way of calculating if a number is a multiple of 3 is to see if its digital root is either 3, 6, or 9

7 is not as 7 is not a multiple of 3

14 is not as 1+4 = 5 is not a multiple of 3

21 is, as 2+1 = 3 is a multiple of 3

28 is not, as 2+8 = 10 is not a multiple of 3

35 not, 3+5=8

42 is, 4+2=6

49 is not, 4+9=13

56 is not , 5+6=11

63 is, 6+3=9

70 is not, 7+0=7

77 is not, 7+7=14, 1+4=5

84 is, 8+4=12, 1+2=3

91 is not, 9+1=10 1+0 = 1

98 is not, 9+8=17, 1+7=8

Answer:

Step-by-step explanation:

448 - 66 = 382

448 physics books and 382 biology books

The equation a = 100 + 75d represents Maria's  account balance.

Step-by-step explanation:

Given that,

You need to find the equation to represent Maria's  account balance, a after she has  completed d deposits.

Therefore, the equation for the total account balance can be framed as the sum of the initial deposit and amount deposited after that.

To find the amount that was deposited after the initial deposit :

⇒ $75 × number of times Maria deposited.

⇒ 75 × d

The equation is written as,

⇒ a = 100 + 75d

Hence the equation a = 100 + 75d represents Maria's  account balance.

Answer:

- 1364

Step-by-step explanation:

The n th term of a geometric series is

[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]

where a is the first term and r the common ratio

4[tex](-2)^{n-1}[/tex] ← is an n th term

with a = 4 and r = - 2

The sum to n terms of a geometric series is

[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex], thus

[tex]S_{10}[/tex] = [tex]\frac{4((-2)^{10}-1) }{-2-1}[/tex]

      = [tex]\frac{4(1024-1)}{-2-1}[/tex]

      = [tex]\frac{4(1023)}{-3}[/tex]

      = [tex]\frac{4092}{-3}[/tex]

      = - 1364

Answer:

She travels 30 miles for work.

Given,

Total time = 45 minutes

Speed on small world = 32mph

Time on small world = 1/2 hour

Distance = Speed * time =

Distance on small world = 16 miles

Speed on small road = 56mph

Time on small road = 1/4 hour

Distance on small road =

Distance on small road = 14 miles

Total distance = Distance on small world + Distance on small road

Total distance = 16+14= 30 miles

She travels 30 miles for work.

Keywords: Distance, speed

Step-by-step explanation:

Final answer:

Carol travels 12 miles on the small road and 28 miles on the highway, totaling 40 miles to get to work.

Explanation:

The question asks us to calculate the total distance Carol travels to work using two different speeds on two different roads. To solve this problem, we use the formula d = vt, where d represents distance, v is velocity (or speed), and t is time.

On the small road, Carol drives at 24 miles per hour for half an hour (0.5 hours). Therefore, the distance traveled on the small road is:

d = (24 miles/hour)(0.5 hours) = 12 miles

On the highway, she drives at 56 miles per hour for half an hour (0.5 hours) as well. The distance traveled on the highway is:

d = (56 miles/hour)(0.5 hours) = 28 miles

To find the total distance, we add the distances from both roads:

Total distance = 12 miles + 28 miles = 40 miles

Carol travels a total of 40 miles to get to work.

Answer:

Therefore 2000 units are sold when $1000 is spent on advertising.

Step-by-step explanation:

Given that,

The equation of a model for consumer's response to advertising is

N(a)=2000+500 ln(a)

where a is the amount spent on advertising, in thousand of dollars and a≥1,N(a) is the amount of units sold.

$1000 is spent on advertising.

Since a is in thousand of dollars.

∴a=1

Now plug a=1 in the given model

N(a)=2000+500 ln(1)

⇒N(a)=2000+500×0       [ ∵ln(1)=0 ]

⇒N(a) = 2000

Therefore 2000 units are sold when $1000 is spent on advertising.

Answer:

Step 1: Calculate the mean. Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. Step 3: Add those deviations together. Step 4: Divide the sum by the number of data points.

Step-by-step explanation: