What is the vertex form of the parabola from daredevil dannys practice jump ?

Answer:

[tex]\large \boxed{x = 10}[/tex]

Step-by-step explanation:

[tex]\begin{array}{rcll}75\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = & 3& \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = & \dfrac{3}{75}&\text{Divided each side by 75} \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = & \dfrac{1}{25}&\text{Simplified} \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = &25^{-1}&\text{Applied exponent rule} \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = &\left (5^{2} \right )^{-1}&\text{Converted 25 to base 5} \\\\\end{array}[/tex]

[tex]\begin{array}{rcll}\left (5^{-1}\right )^{\dfrac{x}{5}} & = &\left (5^{2} \right )^{-1}&\text{Applied exponent rule} \\\\5^{-\dfrac{x}{5}} & = &5^{-2}&\text{Multiplied exponents} \\\\-\dfrac{x}{5} & = &-2 & \text{Equated exponents}\\\\x & = & \mathbf{10} & \text{Multiplied each side by -2}\\\end{array}\\\text{The exact solution is $\large \boxed{\mathbf{x = 10}}$}[/tex]

Answer:

[tex]S_n =[/tex] -2497

Step-by-step explanation:

We are given an arithmetic series with the following terms:

First term, [tex]Q_1[/tex] = -40

Common difference, d = -7

Number of terms, n = 22

To find out: Sum of n terms, where n is 22

We know that Sum of n terms in an arithmetic series is given as:

[tex]S_n =\dfrac{n}{2} (2Q_1+(n-1)d)[/tex]

Putting the values in the formula:

[tex]S_{22} = \dfrac{22}{2} (2 \times -40+(22-1)\times (-7))\\\Rightarrow S_{22} = 11 \times (-80-147)\\\Rightarrow S_{22} = 11 \times (-227)\\\Rightarrow S_{22} = -2497[/tex]

So, the sum of 22 terms is -2497.

The horizontal distance from Mike to the kite will be 12 feet.

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

Mike is flying a kite with a string that is 20 ft long is flying at a height of 16 ft.

Now,

Since, Mike is flying a kite with a string that is 20 ft long is flying at a height of 16 ft.

Let the horizontal distance from Mike to the kite = x feet

Hence, We can formulate;

⇒ 20² = x² + 16²

⇒ 400 = x² + 256

⇒ x² = 400 - 256

⇒ x² = 144

⇒ x = 12 feet

Thus, The horizontal distance from Mike to the kite will be 12 feet.

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Answer:

k = 21 miles per hour

Step-by-step explanation:

The constant of proportionality is

k = 84/4

k = 21 miles per hour

Answer:

[tex]21 \: \: \: miles \: \: \: per \: \: \: hour[/tex]

Step-by-step explanation:

[tex]4 \: \: \: hours = 84 \: \: miles \\ 1 \: \: \: hours = x[/tex]

Use cross multiply

[tex]4x = 84 \\ \frac{4x}{4} = \frac{84}{4} \\ x = 21[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

The number is 16.

Step-by-step explanation:

3x=32+x

2x=32

x=16

A number that when tripled, gives the same result as when 32 is added to it is 16.

In this exercise, you're required to solve for an unknown number, that when tripled has the same value as when 32 is added to it.

Translating the word problem into an algebraic expression, we have;

Tripling the number, we have:

[tex]3x[/tex]    ....equation 1

Adding 32 to the number, we have:

[tex]32 + x[/tex]   ....equation 2

Equating the two equations, we have:

[tex]3x = 32 + x\\\\3x - x = 32\\\\2x = 32\\\\x = \frac{32}{2}[/tex]

x = 16

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No because to be a function, each dot on the graph would need to be located at its own x value. Looking at the graph you see two dots located at x = 5 so it is not a function.

Answer:

210 ways

Step-by-step explanation:

In the question, the combination should be computed.

Number of ways of selection 6 flowers = nCr =10C6

                                           [tex]\frac{n!}{r!(n-r)!}[/tex]  =[tex]\frac{10!}{ 6!(10-6)!}[/tex]

                                                        =3628800/17280

                                                       =210

Therefore, there are 210 ways in which 6 flowers can be selected from the available 10 flowers.

Answer:

Therefore, there are 210 ways in which 6 flowers can be selected from the available 10 flowers.

Step-by-step explanation:

explanation

Answer:

[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y^{2} } * \sqrt{y} [/tex]

[tex] 2*2*y\sqrt{2*5*7*y} [/tex]

[tex] 4y\sqrt{70y} [/tex]

Step-by-step Explanation:

To find the expressions that are equivalent to

[tex] \sqrt{1,120y^{3} } [/tex]

let's simplify each of the options given to know if we would arrive at

[tex] \sqrt{1,120y^{3} } [/tex]

Option 1:

[tex] \sqrt{2*2*2*2*5*7*y*y} [/tex]

[tex] \sqrt{(2*2*2)*(2*5)*(7)*(y*y)} [/tex]

[tex] \sqrt{8*10*7*y^{2} } [/tex]

[tex] \sqrt{560y^{2} } [/tex]

Not equivalent to the given expression.

Option 2:

[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{5^{2} } * \sqrt{7^{2} } * \sqrt{y^{2} } * \sqrt{y^{2} } [/tex]

[tex] 2 * 2 * 2 * 5 * 7 * y * y [/tex]

[tex] 8*5*7*y*y [/tex]

[tex] 280y^{2} [/tex]

Not equivalent to the given expression.

Option 3:

[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y^{2} } * \sqrt{y} [/tex]

[tex] 2 * 2 * \sqrt{2} * \sqrt{5} * \sqrt{7} * y * \sqrt{y} [/tex]

[tex] 2 * 2 * y * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y} [/tex]

[tex] 4y * \sqrt{2 * 5 * 7 * y} [/tex]

[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]

[tex] \sqrt{16 * y^{2} * 70 * y } [/tex]

[tex] \sqrt{16 * 70 * y^{2} * y } [/tex]

[tex] \sqrt{1,120y^{3} } [/tex]

This option is equivalent.

Option 4:

[tex] 2*2*y\sqrt{2*5*7*y} [/tex]

[tex] 4y\sqrt{70y} [/tex]

[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]

[tex] \sqrt{16 * y^{2} * 70 * y } [/tex]

[tex] \sqrt{1,120y^{3} } [/tex]

This option is equivalent to the given expression.

Option 5:

[tex] 4y\sqrt{70y} [/tex]

[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]

[tex] \sqrt{16y^{2} * 70 * y} [/tex]

[tex] \sqrt{16 * 70 * y^{2} * y} [/tex]

[tex] \sqrt{1,120y^{3} } [/tex]

Equivalent!

Options 3, 4 and 5 are the 3 expressions equivalent to

[tex] \sqrt{1,120y^{3} } [/tex]

Answer:C D E

Step-by-step explanation:

Just did the test

Answer:

The first one

Step-by-step explanation:

The first simbol means that job is part of the Books of the Old Testament which is true, because the Book of Job it is in the Old Testament

Answer:

I believe it's major arc

Step-by-step explanation:

Second option on edge

Answer:

b

Step-by-step explanation:

Answer:

4/5x + 8/5 = g(x)

Step-by-step explanation:

−4x−6=−5y+2

Solve for y

Subtract 2 from each side

−4x−6-2=−5y+2-2

-4x -8 = -5y

Divide each side by -5

-4x/-5 -8/-5 = -5y/-5

4/5x + 8/5 = y

Replace y with g(x)

4/5x + 8/5 = g(x)

Answer:

x = -7

Step-by-step explanation:

-5(x-1) = 40

Divide each side by -5

-5(x-1)/-5 = 40/-5

x-1 = -8

Add 1 to each side

x-1+1 = -8+1

x = -7

Answer:

x = -7

Step-by-step explanation:

-5(x-1) = 40

-5x + 5 = 40

5x - 5 = - 40

5x = 5 - 40

5x = - 35

x = -35/5

x = -7

Answer:

[tex]-y^2+6y+16[/tex]

Step-by-step explanation:

[tex]-(y+2)(y-8)[/tex]

[tex]-1(y+2) \times (y-8)[/tex]

[tex](-y-2)\times (y-8)[/tex]

[tex]-y(y-8)-2(y-8)[/tex]

[tex]-y^2+8y-2y+16[/tex]

[tex]-y^2+6y+16[/tex]

Answer:

Going from left to right:

1.) Yes

2.) No

3.) Yes

4.) No

5.) No

6.) Yes

7.) No

8.) No

9.) Yes

10.) No

11.) Yes

12.) Yes

13.) No

14.) Yes

15.) Yes

16.) No

Step-by-step explanation:

Functions cannot have any repeating x-coordinates.

1.) Yes

2.) No

3.) Yes

4.) No

5.) No

6.) Yes

7.) No

8.) No

9.) Yes

10.) No

11.) Yes

12.) Yes

13.) No

14.) Yes

15.) Yes

16.) No

Answer:

92

Step-by-step explanation:

Please use " ^ " to indicate exponentiation, ok?  Thank you.

If

ƒ(x) = 9x^2 + 27x + 2, and we are to find ƒ(2), substitute 2 for x"

f(2) = 9(2)^2 + 27(2) + 2

This becomes:

f(2) = 36 + 54 + 2 = 92

Answer:

I guess the answer is c.... I guess it must be c

Answer:

20 =10X2cm

20

answer answer

Step-by-step explanation:

First you need to find the area of the base and then multiply that by the height. The base of the cylinder is equal to pi times the radius squared or πr² which in this case is π·2². We then multiply the base times the height which gives us 10·π·2^2. I will let you simplify the result on your own.

Answer:

f(x)= -10^x-1-10= (0,-101/100)

f(x)= -3^x-2-1= (0,-10/9)

f(x)= -3^x+5-9= (-252)

f(x)= -17^x-1+2 = (0,33/17)

Answer:

B

Step-by-step explanation:

When you finish solving an equation and find the answer to be that two numbers are equal to each other when they are in fact, this means that the equation has no solutions because not values could make it true. Hpope this helps!

Answer:

I think it is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

line 1.

y=3

line 2.

x=-1.2

line 3.

x=3

line 4.

y=-2.6

length=3-(-1.2)=3+1.2=4.2

width=3-(-3)=3+3=6

area=4.2×6=25.2

Answer:

To solve this problem, we need to write each number in two different ways, we could use percetanges or fractions.

This number can be written in scientific notation like [tex]4 \times 10^{7}[/tex], where the exponent depends on the amount of zeros the quantity has.

A second way to write this number would be as a product [tex]2 \times 20,000,000.00[/tex].

Similarly, this number can be written in scientific notation [tex]2 \times 10^{-2}[/tex], also, we can write it as a fraction [tex]\frac{2}{100}[/tex].

This number in scientific notation would be [tex]1.05 \times 10^{8}[/tex]. As a product would be

[tex]1050 \times 100000[/tex].

In scientific notation would be [tex]7 \times 10^{-9}[/tex]. As a fraction would be [tex]\frac{7}{1000000000}[/tex].

In scientific notation would be [tex]4.56983 \times 10^{5}[/tex]. Also, we can write it as a sum

[tex]450,000 + 6,983[/tex]

In scientific notation would be [tex]6.73 \times 10^{-7}[/tex]. As a fraction would be [tex]\frac{673}{1000000000}[/tex]

Answer:

The function is y = 40 * 2^(x/2)

The graph is in the image attached

Step-by-step explanation:

The function that models this growth is an exponencial function, that can be described with the following equation:

y = a * b^(x/n)

Where a is the inicial value, b is the rate of growth, x is the time and n is the relation between the time and the rate (the rate occurs for every two hours, so n = 2).

Then, using a = 40, r = 2 and n = 2, we have:

y = 40 * 2^(x/2)

If we plot this function, we have the graph shown in the image attached,

It is an exponencial graph, where the value of y increases very fast in relation to the increase of x.

Answer:

b

Step-by-step explanation:

edge2020

Answer:  5 Hz

The frequency is the inverse of period... Them:

[tex]f=\frac{1}{T}=\frac{1}{0.2}=5 Hz[/tex]

Answer:

9x^2 +12x

Step-by-step explanation:

To find the area of a rectangle you need to multiply the length by the width. So,

3 by 3x^2 = 9x^2

3 by 4x = 12x

So the area of the entire rectangle is: 9x^2 + 12x

Answer:

9

Step-by-step explanation:

You can assume the two triangles have the same side ratio since their angles are equal. So 16/18 = y-1/y

Simplify to get...

16y = 18(y-1)

16y = 18y - 18

-2y = 18

y = 9

Answer:

H * 2g/w² = R² - r²

r² = R² - H * 2g/w²

r = √(R² - H * 2g/w²)

Answer:

If the door was at the right angle then that means it is not an optical illusion, but if the door is straight then that means the door is not at a right angle so it's an optical illusion.

Step-by-step explanation:

Maybe if the door was straight, but you saw it at a right angle then maybe you      were laying down, you were sick, seeing things or you drank a lot of alcohol that day. If it was a right angle on that day then it was not an optical illusion.

Answer:

13

Step-by-step explanation:

To solve this, lets first find the number of footballs he still needs:

75-24 = 51

Now to find the number of packages, divide by 4, since there are 4 balls per package:

51/4 = 12 Remainder 3

Since there is a remainder, and the Coach MUST have at least 75, then we need to add a package to include the remainder:

12 + 1 = 13 Packages

Answer:

z and -4z are like terms

Terms: z,8,-4z

like terms: z,-4z