a projectile was projected into the air off a rooftop with an initial velocity at 32 feet per second. the quadratic equation h= -16^2+32t+240 represents the height h of the projectile t seconds after it was projected into the air. according to the equation, how many seconds should it take for the projectile to hit the ground?

Answer:

Step-by-step explanation:

\( { - 5}^{x} + 1 \times { - 5}^{5} = { - 5}^{7} \\ { - 5}^{x} - {5}^{5} = { - 5}^{7} \\ {5}^{7} - {5}^{5} = {5}^{x} \\ log_{5} \: {5}^{7} - {5}^{5} = x \\ log_{5} \: {5}^{7} - log_{5} \: {5}^{5} = x \\ 7 - 5 = x \\ 2 = x \\ \)

Answer:

uh I'd dint get the quss tho

area of a rectangle = length × breadth

= 2 × (n - 3)

= 2n - 6

so this this the answer? lemme know in the comments. plz

Answer:

1. 30 student

2. 120 student's didn't vote

3. 7 quarters

Step-by-step explanation:

1. first, see how many games can be played:

45÷3 = 15

then, multiply the number of games by two because 2 students can play per game

15 • 2 = 30

2. first, figure out what percent of students did not vote:

  100 - 60 = 40%

  then, multiply the number of students total (300) by the decimal of the percent that did not vote to find the number of students who didn't vote:

    300 • .40 = 120 student's didn't vote

3. first, find how much 9 dimes is:

   1 dime = $0.10

   9 dimes = 9 • $0.10 = $0.90

  then, find how much money kerry had:

   $2.65 - $0.90 = $1.75

   finally, find out how many quarters kerry had by dividing the amount of money she had by the worth of a quarter:

   1 quarter = $0.25

    $1.75 ÷ $0.25 = 7 quarters    

Answer:

The answer is 81.85%

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean.

The z score is given by:

z = x - μ/σ

where,

For x = 88

z = 88 - 116/14

z = (-2)

For x = 130

z = 130 - 116/14

z = (1)

Thus,

P(88 < x < 130) = P(-2 < z < 1)

= P(z < 1) - P(z < -2)

= 0.8413 - 0.0228 = 81.85%

Thus, 81.85% of the population would be between 88 and 130.

The solution of the quadratic equation is x = 2. Therefore, \(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)  or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

The quadratic formula can be use to solve the quadratic equation as follows:

x² - 4x + 4 = 0

Modelling it to quadratic equation, ax² + bx + c

Hence,

using quadratic formula,

\(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(\frac{-b-\sqrt{b^{2}-4ac } }{2a}\)

where

Hence,

a = 1

b = -4

c = 4

Therefore,

\(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

Finally

x = 2

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In order to rewrite these values in the standard form, let's calculate the product with the power of 10 from each number.

For the length, we have:

For the thickness, we have:

Answer:

F

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 5, 8) and (x₂, y₂ ) = (5, 0) ← 2 points on the line

m = \(\frac{0-8}{5-(-5)}\) = \(\frac{-8}{10}\) = - \(\frac{4}{5}\) , then

y = - \(\frac{4}{5}\) x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 5, 8 )

8 = 4 + c ⇒ c = 8 - 4 = 4

y = - \(\frac{4}{5}\) x + 4 → F

Answer:

-5 would Be your answer

Step-by-step explanation:

Answer:

3 packages

Step-by-step explanation:

each package has 3

if she buys 1, she has 3 party favors

buys 2, has 6

buys 3, has 9

she can't buy 2 packages, then one friend doesn't get a party favor. so she will have to buy 3 packages, use 7, leave 2 extra.

please give thanks :)

Mary should buy 3 packages to have enough for all the friends.

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given that, Mary is planning her birthday party. She's inviting 7 friends and wants to buy party favours. The favours she wants to come in packages of 3.

Since, Each package has 3 favours

if she buys 1, she has 3 party favours

If buys 2, has 6

And, if buys 3, has 9

she can't buy 2 packages, then one friend doesn't get a party favour.

So, she will have to buy 3 packages, use 7, leave 2 extra.

Hence, she will need 3 packages.

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The boat is roughly 654ft away from the base of the cliff.

Step-by-step explanation:

We have the angle 17°

The side opposite the angle is 200ft.

We want to find the length of the adjacent side.

So what equation has Opposite and Adjacent in it?

Tangent. (Remember SOH-CAH-TOA)

Tan = opp/adj

Tan(theta°) = opp/adj

Rearranging,

adj = opp/tan(theta°)

adj = 200/tan(17°)

adj = 654.17ft

And to double check you answer,

° = tan^-1(opp/adj)

° = tan%-1(200/654)

° = 17°

\( \underline{\underline{\huge{\bf{Answer}}}}\)

\( \sf\)

(A) (5, 11), (-8, 2), (0, 7), (-5, 11)

:- Yes, this is a function. Two or more inputs can have the same output but no two outputs can have a same input. Here, domain 5 & -5 bears same output 11. Thus, it's a function.

___________________________

(B) (5, 11), (-8, 2), (0, 7), (0, -5)

:- Not a function. Because here, an input '0' have two different outputs 7 and -5. And, we know for a function no two outputs can have a same input.

___________________________

(C) (0, 11), (-8, 2), (0, 7), (-8, -5)

:- Not a function. Because here, an input '0' have two different outputs 11 and 7. Similarly an input '-8' have two different outputs 2 and -5. And, we know for a function no two outputs can have a same input.

____________________________

(D) (11, 5), (2, -8), (7, 0), (11, -5)

:- Not a function. Because here, an input '11' have two different outputs 5 and -5. And, we know for a function no two outputs can have a same input.

\( \rule{200pt}{2pt}\)

Answer:

See below.

Step-by-step explanation:

\(\cot(x-\frac{\pi}{2})=-\tan(x)\)

Convert the cotangent to cosine over sine:

\(\frac{\cos(x-\frac{\pi}{2} )}{\sin(x-\frac{\pi}{2})} =-\tan(x)\)

Use the cofunction identities. The cofunction identities are:

\(\sin(x)=\cos(\frac{\pi}{2}-x)\\\cos(x)=\sin(\frac{\pi}{2}-x)\)

To convert this, factor out a negative one from the cosine and sine.

\(\frac{\cos(-(\frac{\pi}{2}-x ))}{\sin(-(\frac{\pi}{2}-x))} =-\tan(x)\)

Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:

\(\frac{\cos((\frac{\pi}{2}-x ))}{-\sin((\frac{\pi}{2}-x))} =-\tan(x)\\-\frac{\sin(x)}{\cos(x)} =-\tan(x)\\-\tan(x)\stackrel{\checkmark}{=}-\tan(x)\)

Answer:

Step-by-step explanation:

x1 y1  x2 y2

-4 3  3 1

ΔY -2    

ΔX 7    

slope= -  2/7    

Answer:

a) Range = 7.7

b) Standard deviation = 2.78

Step-by-step explanation:

Find (a) the range and (b) the standard deviation of the data set 8.2, 10.1, 2.6, 4.8, 2.4,5.6, 7.0,3.3 Round to the nearest hundredth if necessary

We are rearrange the given data:

2.4, 2.6, 3.3, 4.8, 5.6, 7.0, 8.2, 10.1

a) Range

This is calculated as: Highest value - Lowest value

Highest value = 10.1

Lowest value = 2.4

Range = 10.1 - 2.4

= 7.7

b) Standard deviation

Step 1

We find the mean

= Sum of values/ Number of value

= 2.4 + 2.6+ 3.3+ 4.8+ 5.6+7.0+8.2+10.1/8

= 44/8

= 5.5

The formula for standard deviation

= √(x - mean)²/n - 1

= √((2.4 - 5.5)² +( 2.6 - 5.5)²+ (3.3 - 5.5)²+ (4.8-5.5)²+ (5.6 - 5.5)²+(7.0-5.5)² +(8.2 - 5.5)² +(10.1-5.5)2)/8 - 1

= √54.06/7

= √7.722857143

= 2.779002904

approximately = 2.78

a dimensional coloring technique that uses a darker color on selected strands is referred is "lowlights". Lowlights is a dimensional coloring technique that involves applying a darker color to certain strands of hair to create depth and contrast.

An explanation of this technique is that it is the opposite of highlights, which involve adding lighter colors to the hair. Lowlights are typically used to create a more natural and subtle look, or to add dimension to hair that is otherwise one solid color.

if you are looking to add depth and contrast to your hair color, lowlights may be a great option for you to consider.

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Answer:

-5/2

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -12 - 3)/(4 - -2)

   = (-12-3)/(4+2)

   -15/6

  -5/2

Answer:

-5/2

Step-by-step explanation:

(y2-y1)/(x2-x1) = -15/6 = -5/2

Answer: C

Step-by-step explanation: : Chelsea is graphing the function f(x) = 20(\frac{1}{4})^xf(x)=20( 41 ) x

Answer:

On a coordinate plane, the point (0, 20) is graphed.

Step-by-step explanation:

Edge

The length of the base when the height is 6 cm is 21 cm .

In the question ,

it is given that ,

the length of the base(b) of the triangle varies inversely with the height(h) ,

which is represented as

b ∝ 1/h

b = k/h

where k is the constant of variation

given that when b = 18 , h is = 7

18 = k/7

k = 18 × 7

k = 126

Substituting , the value of k = 126  in the equation b = k/h  ,

we get ,

b = 126/h

So, the length of the Base When h = 6,

b = 126/6

b = 21

Therefore, the length of the base when the height is 6 cm is 21 cm .

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-3

Hope it helps.

Do comment if you have any query.

Answer:

8.0<x<8.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The measure of angle BCD is 22 degrees

The measure of angle DCE is 158 degrees

The measure of angle BCF is 158 degrees

The measure of ECF is 22 degrees

Answer:

BCD = 22

DCE = 158

BCF = 158

ECF = 22

Step-by-step explanation:

first one is alternate interior angles

second one is 180 - 22

third one is congruent to second one

last one is congruent w/ BCD

Standardized patterns of stage movement were necessary in the Renaissance period and beyond because of the limits of stage technology.

In the Renaissance period and beyond, theatrical performances faced limitations in terms of stage technology. Theatres during this time had relatively simple stage designs and lacked advanced mechanisms for scene changes or special effects. As a result, standardized patterns of stage movement were developed to maximize the use of the available stage space and enhance the visual storytelling. These standardized patterns of stage movement, also known as blocking, allowed actors to navigate the stage efficiently and effectively. They provided a structured framework for actors to move in coordinated ways, ensuring that the audience could clearly follow the action and understand the intended dramatic effect. By adhering to these established patterns, actors could make the most of the limited stage resources and deliver compelling performances, despite the technological constraints of the time. Overall, standardized patterns of stage movement were crucial in the Renaissance and beyond as they helped overcome the challenges posed by the limits of stage technology, allowing for well-organized and visually coherent theatrical productions.

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Answer:

Yes, because the beginning number has to be between 1 and 10. If there is a 10 in the ones place, move the decimal to the left and increase the power.

Answer:

1/9

Step-by-step explanation:

Because 1/3 is the same as 3/9, 5/9 + 3/9 = 8/9. so then 9/9 - 8/9 = 1/9. Giving them 1/9 of the lawn remained to be mowed.

the value of P(A∩B) in terms of x and y is xy.

The correct option is D. xy.

To determine the value of P(A∩B) in terms of x and y, we can use the definition of conditional probability and the fact that P(A∩B) = P(A|B) * P(B).

Given that P(A|B) = x and P(B) = y, we can substitute these values into the equation:

P(A∩B) = P(A|B) * P(B)

        = x * y

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Answer:

$ 246.39

Step-by-step explanation:

Sales tax = 6% of 195.55

               = 0.06 * 195.55

               = $ 11.73

Tips = 20% of 195.55

       = 0.2 * 195.55

       = $ 39.11

Final cost = 195.55 + 11.73 + 39.11

              = $ 246.39

Answer:

248.74

Step-by-step explanation:

195.55 x .06 (the tax)=11.73 now that is how much tax is so you add it to your total 195.55+11.73=207.28 now find the total for the tip  207.28x.20=41.46 that is how much 20% of the bill so add that to the total 207.28+41.46=248.74