A bottle rocket is launched straight up. Its height in feet (y) above theground x seconds after launch is modeled by the quadratic function: y =-16x2 + 116x + 7.What was the maximum height of the rocket?

If we divide a circle into a number of equal segments then stack them in a row head-to-tail, the new shape is a parallelogram with bumpy sides, with the same area as the circle.

We can conclude the following:

1. The base of a parallelogram is approximately equal to half the circumference of the circle

2. The height of the parallelogram is approximately equal to the radius of the circle

3. The area of the parallelogram is equal to the area of the circle.

Answer:

Step-by-step explanation:

Obisouly 20 items for $5.99

hello

to compare or know the difference between rational numbers and integers

rational numbers are numbers in which are expressed as fractions of two integers eg a/b where b is a non zero number

integers are whole numbers in mathemathics without the expression in fraction or rather they're expressed in fractions but the denominator must be equal to 1

now when we want to compare and order integers, they're prefereably done using the number line system.

for an integer

while in rational numbers,

Area of a rhombus = 1/2 x d1 x d2

d1= diagonal 1 = 8m

d2 = diagonal 2 = 3m

Replacing:

A = 1/2 x 8 x 3 = 12 m2

Part a

What is the probability that the selected person is a male?

P=6,701/13,875

P=0.4830

Part b

What is the probability that the selected person does not have a Ph.D.?

P=1-119/13,875

P=0.9914

Part c

What is the probability that the selected person has a Master's degree?

P=1,003/13,875

P=0.0723

Part d

What is the probability that the selected person is female and has a Master's degree?

P=506/13,875

P=0.0365

Step-by-step explanation:

so slope intercept form is y=mx+b or in this case y<mx+b

so you just need to solve for y

start by subtracting 6 from both sides getting -3y< x + 6 than you just divided by a -3 when you divide by a negative number you have to change the inequality so you would get y> -(x+6)/3 that would be your answer hopefully that helps. have a great day

SOLUTION

Using the theorem

The sum of angles in a triangle is 180°

Then we have

from the diagram in the questions

Substituting the parameters we have

Simplify the equation above

Therefore

Hence

The value of x is 39°

Solution

Step 1

Step 2

Step 3

Final answer

19461

We want to calculate the value of

However, x is unknown. For BD is "angle bisector"

Let us solve that equation for x:

(-2x was sent to the left-hand side, and -1 was sent to the right-hand side)

Then,

Thus,

given data:

to find:

where a is a constant, we can find a with the first statement:

"an object falls 64 feet in 2 seconds"

so:

the complete equation is

now "determine the distance for 6seconds"

so, replace t=6 and find d

the distance is 576ft

Surface area of a square pyramid is given as:

Step 1

Given;

Required; To find the similarity postulate or theorem that applies.

Step 2

Both triangles share one side AG

They also have a common angle;

Side AG = 10 units and ∠AGT ≅ ∠AGB.

Thus, options A and B are discarded.

Step 3

Now, as for the SAS criteria, we need two sides to be congruent and their included angles to be congruent.

But, as no other information is given, we cannot determine whether the given triangles are congruent or not.

Therefore, the answer is; Option D

The frequency distribution table includes both the relative frequency and the frequency percentage given below.

Class Level     Relative frequency       frequency %

Gold                8/25 × 100 = 0.032         32%

Silver              10/25 × 100 = 0.04           40%

Bronze            7/25 × 100 = 0.028         28%

The Relative frequency is an estimate or estimator of a probability in terms of statistics.

In straightforward situations, where the outcome of a trial just establishes whether the predetermined event has taken place, modeling using a binomial distribution may be suitable, and the empirical estimate is then the maximum likelihood estimate.

If specific conditions for the prior distribution of the probability are met, it is the Bayesian estimate for the same case. If a trial produces additional data, the relative frequency can be enhanced by adding new hypotheses in the form of a statistical model; if this model is fitted, it can be used to determine an estimate of the likelihood of the desired event.

To learn more about Relative frequency from the given link

https://brainly.com/question/16832475

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Given:

The Honeywell HQ17 air cleaner takes twice as long as the EV25 to clean the same

volume of air.

Let, x be the time taken by Honeywell EV25 air cleaner.

And 2x be the time taken by Honeywell HQ17 air cleaner.

Together the two machines can clean the air in 10 min.

So, time takes by Honeywell HQ17 air cleaner is,

Answer:

The time taken by Honeywell EV25 air cleaner is 3.33 min.

The time taken by Honeywell HQ17 air cleaner is 6.67 min.

According to the information given in the exercise, the tuition is expected to increase from $1,050 to $2,050 over the next ten years.

Then, you need to use the following formula in order to solve this exercise:

In this case:

Therefore, substituting these values into the formula and evaluating, you get:

Hence, the answer is: 95.24% increase.

ANSWER

8.0

EXPLANATION

If the central angle θ is in degrees and the radius is r, the length of the arc 's' is:

In this problem θ = 115º, r = 4:

Sales tax = $0.84

Total cost = $21.07

Cost Price = $20.99

Tax rate = 4% = 4/100 = 0.04

Sales tax = (Tax rate) x (cost Price)

Sales tax = 0.04 x 20.99

Sales tax = $0.8396

Sales tax = $0.84 (to the nearest cent)

Total cost = Cost price + sales tax

Total cost = $20.99 + $0.84

Total cost = $21.074

Total cost = $21.07 (to the nearest cent)

So, let's turn the notation from mixed number to fraction:

As you can see, the whole becomes 100/100 and then you just add the numerators.

Answer: 111/100

we can multiply the normal numbers on the one hand and the scientific notation on the other hand

so

Let us make a drawing of the triangle:

Let's remember that the three angles of a triangle add up to 180 degrees. Then,

Since our triangle is right, we have

Thus

This means that the answer is 55°.

8+2=2+8 is result of the commutative property. Then, the answer is option B

Answer:

The equation is given below as

Concept:

To calculate the value of y when x=0, we will substitute the x=0 in the equation above and solve for y

By substituting the values, we will have

When x=0

When x=1

When x=2

When x=3

When x=4

Hence,

By graphing using the ordered pairs below, we will have

Remember that

1 year=52 week

so

17%=17/100=0.17

Multiply $298.65 by 0.17

$298.65*0.17=$50.7705

Multiply by 52

$50.7705*52=$2,640.07

SOLUTION

Given the question in the image on the question tab;

Final answer:

The given sequences are

In the sequence (1):

There is a common difference of 2

Then it is an arithmetic sequence

In the sequence (2):

There is a common ratio of 2

Then it is a geometric sequence

The first sequence is increasing by 2

The second sequence is multiplying by 2

solution

for this case we can use the Herons formula given by:

Where s is the semiperimeter given by:

And we can find the area on this way:

And rounded to the nearest tenth would be:

314.1

The given parabola is:

It is written in the form:

The axis of symmetry is given by the following formula:

Where a=-3 and b=3. Replace these values and solve for x:

Therefore, the axis of symmetry is x=1/2

We are asked to determine the length of a picture that is originally 10 inches wide and 12 inches long.

By reducing it we must keep the same proportion between length and width. Therefore, the ratio between length and width must remain the same. The ratio between width and length is:

Now, we set this equal to the ratio of the reduced picture:

Therefore, the right proportion is B