The quadratic function h(t)=-16.1t^2+150 models a balls height in feet over time in seconds after it is dropped from a 15 story building

Answer:

C

Step-by-step explanation:

There is a right triangle formed by the slant height, h and the radius

Use Pythagoras' theorem to solve for h

With radius = 8 ft ( half the diameter ) , slant height is hypotenuse

h² = 17² - 8² = 289 - 64 = 225

Take the square root of both sides

h = [tex]\sqrt{225}[/tex] = 15 → C

the commons difference is .8

the missing values are: 6.2 and 7

Answer:

90 degrees

Step-by-step explanation:

FIGURE IT OUT

x=15 and y=25.98 or 26

Answer:

2.02

Step-by-step explanation:

2.02

Answer:

(x+8)^2 - 67

Step-by-step explanation:

1) Rearrange the quadratic into the standard format: ax^2 + bx + c

In this case you rearrange it to x^2 + 16x - 3

2) Write out the initial bracket: (x + b/2)^2    -    Just divide the value of b (which in this case is 16) by 2 (which in this case gives you 8)

3) Multiply out the brackets and compare to the original to find what you need to add or subtract to complete the square

In this case you do (x+8)^2 which gives you x^2 + 16x +64

You compare this to the original: x^2 + 16x - 3

4) Add or Subtract the adjusting number to make it match the original

In this case you need to subtract 67 from x^2 + 16x +64 (which is the same as (x+8)^2) in order to make it match the original x^2 + 16x - 3

64 - 67 = -3

Answer:

There is no solution to the given problem [tex]|x|=-2[/tex].

Step-by-step explanation:

Given equation is [tex]|x|=-2[/tex].

Now we need to determine if there is solution to this equation or not.

We know that [tex]|x|[/tex] represents absolute value function.

By definition of absolute value function, we know  that output of [tex]|x|[/tex] must always be positive.

But in given equation [tex]|x|=-2[/tex], we have output -2 which is negative.

That is not possible.

Hence there is no solution to the given problem [tex]|x|=-2[/tex].

Answer:

Zero

Step-by-step explanation:

A letter C or Z is not in the word Bulldog.

Convert the whole number 4 into a fraction using 4 as the denominator:

4/1 × 4/4 = 16/4

Hope this helps :D

Answer:ignore sorry

Step-by-step explanation:

[tex]\bf \stackrel{\textit{dot product}}{<a,b>\cdot <c,d>}\implies (a\cdot c)+(b\cdot d) \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} u=&2i+3j\\ v=&-6i-5j \end{cases}\implies \begin{cases} <2,3>\\ <-6,-5> \end{cases} \\\\\\ <2,3>\cdot <-6,-5>\implies (2\cdot -6)+(3\cdot -5)\implies -27[/tex]

Step 2: -26.7 · -3

When you divide with a fraction, it's helpful to multiple by the reciprocal of the fraction .

This step instead multiplied by the negative reciprocal .

Therefore, the correct answer would be -80.1 instead of 80.1

The error was made in step 2.

.

Answer:

256

Step-by-step explanation:

First, let's see the height of the box (8 inches) is long enough for one straw (7 inches and 3/4) but not enough for 2... so there could be only one layer.

Now the box is a prism with a square base (6 inches each side).

How many straws can we fit on one side?  We have to divide the width of the box by the width of a straw.  

[tex]row = \frac{6}{3/8} = \frac{48}{3} = 16[/tex]

We can fit 16 straw per 6-side side of the box... Since the box is 6x6 inches, we can then fit 16 x 16 straws in it... 256 total.

Answer:

256

Step-by-step explanation:

Answer:

[tex]\large\boxed{A(r(C))=\dfrac{C^2}{4\pi}}[/tex]

Step-by-step explanation:

[tex]A(r)=\pi r^2\\\\r(C)=\dfrac{C}{2\pi}\\\\A(r(C))\to\text{put}\ r=\dfrac{C}{2\pi}\ \text{to}\ A(r):\\\\A(r(C))=\pi\left(\dfrac{C}{2\pi}\right)^2\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\ \text{and}\ (ab)^n=a^nb^n\\\\A(r(C))=\pi\cdot\dfrac{C^2}{2^2\pi^2}\qquad\text{cancel one}\ \pi\\\\A(r(C))=\dfrac{C^2}{4\pi}[/tex]

Answer:

3/4

Step-by-step explanation:

Number of sections = 8

Number of sections with numbers that are odd = 6

P(odd number)

= 6/8

= 3/4

Answer:

There are 20 football players

Answer:

  A.  147 cubic units

Step-by-step explanation:

The area of the square base is ...

  B = (7 units)² = 49 units²

The volume is given by the formula ...

  V = (1/3)Bh = (1/3)(49 units²)(9 units) = 147 units³

Answer:

4.7840 square yards

Step-by-step explanation:

1 square meters equals 1.19599 square yards.

This is the formula for area conversion from square meters to yards and vice versa.

We are required to determine how many square yards are in 4 square meters.

Using the above conversion we have;

1 square meters = 1.19599 square yards

4 square meters = ?

We simply cross multiply;

4*1.19599 square yards = 4.7840 square yards

Answer:

Olivia will have 1 2/3 pages typed in an hour.

Step-by-step explanation:

Olivia can type 5/12 of a page in 15 minutes. 15 minutes is a fourth of an hour, so to find out how many pages she will have written in an hour you can multiply 5/12 X 4. 5/12 X 4 equals 1 8/12, which can be simplified as 1 2/3.

Hope this helped you :)

Please add more to the question.

Two possible values for the length of the third side of a right angle triangle are 6 and [tex]\sqrt{164}[/tex].

" Right angle triangle is a triangle whose one of the interior angle is of 90°."

Formula used

Pythagoras theorem,

(Hypotenuse)² = (Opposite side)² + (adjacent side)²

According to the question,

Two sides of a right triangle measure 10 m and 8 m

Here it is not mentioned 10m and 8m representing which side , that's why this is not enough information to be sure of the length of the third side.

Two possibilities

If Hypotenuse = 10m

Length of one of the side of the right triangle  = 8m

Measure of other side  'x' equals to

[tex](10)^{2} = 8^{2} + x^{2}[/tex]

⇒[tex]x^{2} = 100 -64[/tex]

⇒[tex]x^{2} =36[/tex]

⇒[tex]x=6[/tex]

If Hypotenuse is not given then,

(Hypotenuse)² = [tex]10^{2} +8^{2}[/tex]

⇒(Hypotenuse)² = [tex]100 + 64[/tex]

⇒ Hypotenuse = [tex]\sqrt{164}[/tex]

Hence, two possible values for the length of the third side of a right angle triangle are 6 and [tex]\sqrt{164}[/tex].

Learn more about right angle triangle here

https://brainly.com/question/3770177

#SPJ2

Final answer:

Without knowing which of the two given sides is the hypotenuse in a right triangle, we cannot definitively calculate the length of the third side. It could be greater or less than 10.3 m depending on whether the 10 m side is the hypotenuse or one of the legs.

Explanation:

If two sides of a right triangle measure 10 m and 8 m, it is not enough information to be sure of the length of the third side. The reason is that without knowing which of the sides is the hypotenuse, or whether the given sides are the two legs or one leg and the hypotenuse, we cannot use the Pythagorean Theorem to find the exact length of the third side.

If the 10 m side is the hypotenuse, the other side (of length 8 m) would be a leg, and we could find the length of the remaining leg using the equation a² + b² = c², where c is the hypotenuse and a and b are the other two sides. Thus, the length of the third side would be less than 10.3 m.

However, if the side that measures 10 m is not the hypotenuse, then the remaining side would have to be longer than 10 m to satisfy the Pythagorean Theorem. The length of the third side would be greater than 10.3 m in this case.

Without additional information, we cannot commit to a single value for the third side and must acknowledge that both possibilities exist.

Answer:

C 3/14

Step-by-step explanation:

There are a total of 8 checkers

P (black) = black/total

               = 2/8 = 1/4

Then we keep the checker, so there are only 7 checkers in the bag, 6 red and 1 black

P ( red) = red/total

           = 6/7

P (black, red) = 1/4 * 6/7

                      = 6/28 = 3/14

The number of students with white shirts on is 19.

The answer is 19 because you do 50 times 38 and get 1900 and divide it by a 100 and get 19.

Answer:

Simplifying

3.2 = 2y

Solving

3.2 = 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.

3.2 + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0

3.2 + -2y = 0

Add '-3.2' to each side of the equation.

3.2 + -3.2 + -2y = 0 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0

0.0 + -2y = 0 + -3.2

-2y = 0 + -3.2

Combine like terms: 0 + -3.2 = -3.2

-2y = -3.2

Divide each side by '-2'.

y = 1.6

Simplifying

y = 1.6

Step-by-step explanation:

Answer:

Look to the attached graph

Step-by-step explanation:

* Lets revise how to graph the quadratic function

- Find the vertex of it

- Find the y-intercept

- Find the x-intercept

∵ f(x) = (x - 5)² + 1 ⇒ the completing square form

- The completing square form for any quadratic is

 ( x - h)² + k, where h and k are the coordinate of the vertex point

* Lets compare the two forms

∵ (x - h)² + k = (x - 5)² + 1

∴ h = 5 and k = 1

∴ The vertex of the parabola is (5 , 1)

- To find the x-intercept put f(x) = 0

∵ (x - 5)² + 1 = 0 ⇒ subtract 1 from both sides

∴ (x - 5)² = -1 ⇒ the square can not give -ve number

∴ The parabola does not intersect the x-axis

- To find the y-intercept put x = 0

∵ f(0) = (0 - 5)² + 1 = 25 + 1 = 26

∴ The parabola intersects the y-axis at point (0 , 26)

- The parabola is opened upward because the coefficient of x² is +ve

* Now lets graph it

- Look to the attached graph

Answer:

D. 1/6.

Step-by-step explanation:

These are all of the steps to completely get the correct answer to this question.

Hope this help!!!

Kyle.

I believe the answer is D

Answer:18

Step-by-step explanation:

Answer:

i think the answer is 18

Step-by-step explanation:

Answer:

(A. 16.25 in^2

The area of triangle with base of the triangle be 10 in and the height be 9 in, 45 in²

Area is the amount of space occupied by a two dimensional shape or object.

The area of triangle = (1/2) * base * height

Let the base of the triangle be 10 in and the height be 9 in, hence:

The area of triangle = (1/2) * 10 * 9 = 45 in²

Find out more on area at: https://brainly.com/question/25292087

The equivalent expressions are

3x + 5x and 8x

3(x + 4) and 3x + 12

a + b + a and 2a + b

What are equivalent expressions?

Equaivelnt expressions are expressions that the terms are equal. That is to say rearranging the terms will result to the term to be compared with it.

In this case the expressions are said to be equaivalent

Examining the expressions we can see that

3x + 5x = 8x

3(x + 4) = 3x + 12

a + b + a = 2a + b

Answer:

The answer is B.

Step-by-step explanation:

If you look at all four circles, you can clearly tell that B has the least amount of blue shaded in.

Answer:

(x - 7)(x + 3) = 0

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the constant term (- 21) which sum to give the coefficient of the x- term (- 4)

The factors are - 7 and + 3, since

- 7 × 3 = - 21 and - 7 + 3 = - 4, thus

(x - 7)(x + 3) = 0 ← in factored form

First, see how many she had in all(before she gave some to her brother):

54 + 10 = 64

Then, divide to get how many were in each package:

64/8 = 8

There were 8 markers in each package.