A pebble is tossed into the air from the top of a cliff. The height of the pebble over time is modeled by the equation y = -16x2 + 32x + 80. What is the maximum height, in feet, reached by the pebble?

The perpendicular equation is y = -1/3x + 10 Option A

You can find this by first realizing that perpendicular lines have opposite and reciprocal slopes. So since it starts at 3 we flip it and make it a negative and the new slope is -1/3.

Now we can use that and the point to get the y intercept using slope intercept form.

y = mx + c

m = gradient of the line

c = y -intercept

8 = (-1/3)(6) + c

8 = -2 + c

10 = c

And now we can use our new slope and new intercept to model the equation. y = -1/3x + 10

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The inequality does not belong with the other three is  - 1 ≤ x/1.25.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given,

1.  4x ≥ 12 ⇒ x ≥ 3.

2.  - 1 ≤ x/5 ⇒ - 5 ≤ x.

3.  12 > x/1.25 ⇒ x < 15.

4.  2.5x > - 6.4 ⇒ x > - 2.56.

x ≥ 3 and  x < 15 is,    3 ≤  x < 15.

- 5 ≤ x and x > - 2.56 here one common region is x > - 2.56 so - 5 ≤ x does not fit.

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Answer:

X = 33.19

Step-by-step explanation:

You're welcome.

Answer: It is perpendicular because it makes a 90-degree angles

Step-by-step explanation: A perpendicular is when it makes a 90-degree angle or has the same length!

Answer: c) 3/27

Step-by-step explanation:

To make equivalent fractions, we multiply the numerator and denominator with the same number so that on cancelling we get the original fraction...

Therefore, 1/9=

1 x 3 / 9 x 3 = 3/27

Which can also be written as 3:27

So, the answer is c) 3/27

Answer:

Step-by-step explanation:

You want the values of x and y when corresponding angles at parallel lines are marked (9x -14)° and (7x +18)°, and a vertical angle to those is marked y°.

Corresponding angles where a transversal crosses parallel lines are congruent:

  (9x -14)° = (7x +18)°

  2x = 32 . . . . . . . . . . divide by °, add 14-7x

  x = 16

Then these angles are ...

  (9(16) -14)° = (144 -14)° = 130°

Vertical angles are congruent, so ...

  y° = 130°

  y = 130

Mia is incorrect, as they both ran the same distance, which is the hypotenuse of a right triangle of dimensions 10m and 16m.

The Pythagorean Theorem is a geometry axiom which states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the lengths of the sides squared.

The sides are between the angle of 90º, while the hypotenuse is the segment that connects the sides.

From the image given at the end of the answer, the distances ran from each of them are equal, which is the hypotenuse of a right triangle of dimensions 10 m and 16 m, thus the distance is obtained as follows:

d² = 10² + 16²

d = square root of (10² + 16²)

d = 18.87m.

The problem is given by the image shown at the end of the answer.

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When Michael continues at this rate, the words Michael type in 12 minutes will be 1032.

It is important to note that a rate demonstrates how many times one number can fit into another number. Rates contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

Here, Michael typed 430 words in 5 minutes. The words ler minutes will be:

= 430 / 5

= 86

If he continues at this rate, thr words Michael type in 12 minutes will be:

= 86 × 12

= 1032 words.

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Complete question

Michael typed 430 words in 5 minutes. If she continues at this rate, how many words could Michael type in 12 minutes?

Answer:

56x-32

Step-by-step explanation:

7x-4 Times 8x+8

7xtimes8x

56x-4times8

56x-32

The solution of the given system of equations is (-1, 2).

What is system of equations?

A group of equations involving one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations intersect, are the solutions to systems of equations.

Consider, the given system of equations.

x^2 - x + 3y - 8 = 0           ..(1)

x - y + 3 = 0                       ..(2)

From equation (2),

x = y - 3            ..(3)

Plug the value of x in equation (1).

⇒ (y - 3)^2 - (y - 3)  + 3y - 8 = 0

y^2 - 6y + 9 - y + 3 +3y - 8 = 0

y^2 - 4y + 4 = 0

y^2 - 2y - 2y + 4 = 0

y(y - 2) - 2(y - 2) = 0

(y - 2)(y - 2) = 0

(y - 2)^2 = 0

y = 2

Now plug y = 2 in equation (3)

x = 2 - 3

x = -1

hence, the solution of the given system of equations is (-1, 2).

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For $6.99, you can buy 1 pound of shrimp, therefore, the third option is correct

A ratio indicates the number of times one number contains another.

The given equation is c = 6.99p, where c is the cost and p is the weight in pounds.

c = 6.99p

substitute p = 1:
c = 6.99

Hence, for $6.99, you can buy 1 pound of shrimp, therefore, the third option is correct.

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Answer:

No they would be perpendicular

Step-by-step explanation:

Answer:c

Step-by-step explanation: decreasing

Answer: A' (-4,-1)  B' (-2,-1)  C' (-1,2)

Step-by-step explanation:  The reasons these are the correct answers because if you look at the rule of a rotation, it states that: The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .

The type of hypothesis test would be the best to compare these ratings are that it is sample test.

The Independent Samples t Test compares the means of two independent groups in order to determine whether there is statistical evidence that the associated population means are significantly different.

The Independent Samples t Test is a parametric test. This test is also known as: Independent t Test.In independent samples (or unpaired sample), the values come from two or more different groups. For example, if the group of men and the group of women are asked about their income, independent samples exist. In this case, a person from one sample cannot be assigned to a person from the other sample

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The lower limit of the confidence interval is 51%, which is above 55%, so the Republican should expect to win.

What does confidence interval mean?

Your estimate's mean plus and minus the range of that estimate's fluctuation is called a confidence interval.

                       If you repeat your test, you can expect your estimate to fall between these numbers with a reasonable degree of certainty. In statistics, confidence is another word for probability.

A confidence interval of proportions has two bounds, a lower bound and an upper bound.

These bounds depend on the sample proportion and the margin of error.

The lower bound is the sample proportion subtracted by the margin of error.

The upper bound is the margin of error added to the sample proportion.

In this problem, we have that:

Sample proportion 53%

Margin of error 2%

53 - 2 = 51%

53 + 2 = 55%

Hence, the lower limit of the confidence interval is 51%, which is above 55%, so the Republican should expect to win.

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The number of minutes it takes to complete 2 levels is (a) 60 minutes

From the question, we have the following parameters that can be used in our computation:

Number of Levels 2 7

Time (hours) ? 3.5

This table can be represented as follows:

Ratio = Level : Time

So, we have the following representation

Level : Time = 7 : 3.5

At level 2, we have

2 : Time = 7 : 3.5

Express as fraction

Time/2 = 3.5/7

So, we have

Time = 2 * 3.5/7

Evaluate

Time = 1

Express as minutes

Time = 60 minutes

Hence. the time is 60 minutes

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Answer: No solution

Step-by-step explanation:

First take away p from both sided and then you get 4 = -9 but you can't really do anything else

Answer:

Area= 2(x-3)

Area= (x-3)2

Step-by-step explanation:

not sure if that's right but I think it is

Answer: A

Step-by-step explanation: To find Pedro Romar's new balance, we need to add his previous balance and the interest to the deposit, and then subtract the withdrawal. This gives us $895.00 + $3.50 + $210.00 - $20.50 = $1,088.00. Therefore, the correct answer is $1,088.00 or option (a).

Answer: $62900

Step-by-step explanation:

Find 5% of 37000 by taking 37000 timed 0.05 = $1850

Then find the total rise after 14 years by taking 1850 timed 14 = $25900

Then we add the original 37000 with 25900 = $62900

If you can, please give me a Brainliest, I only need 1 more to become an Ace, thank you!

Answer: around 62900 Dollars in 14 years

Step-by-step explanation:

find the percentage of the raise per year

1850

Multiply by 14

25900

add the starting amount of salary per year

25900+37000

73257

An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

The exponential function is an important mathematical function which is of the form

f(x) = ax

Where a>0 and a is not equal to 1.

x is any real number.

If the variable is negative, the function is undefined for -1 < x < 1.

Here,

“x” is a variable

“a” is a constant, which is the base of the function.

An exponential curve grows, or decay depends on the exponential function. Any quantity that grows or decays by a fixed per cent at regular intervals should possess either exponential growth or exponential decay.

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Answer:

D=Trapeador

A=Cubeta

C=Escoba

B=Recogedor

Step-by-step explanation:

After 8 number of games both has equal amount of money.

Deana starts with $15 and the machine she is playing costs $0.75 per game

lulu starts with $13 and the machine she is playing costs $0.50 per game

Let us after x number of games both has same money

Deana spends 0.75*x amount of money after playing x number of games.

Deana has remaining amount of money 15 - 0.75*x.

lulu spends 0.50*x amount of money after playing x number of games.

lulu has remaining amount of money 13 - 0.50*x.

We have assumes that after x number of games both has same amount of money.

[tex]15-0.75*x = 13 - 0.50*x[/tex] --- this is the correct expression to write an equation that could be used to find after how many games the two friends will have the same amount of money.

15 - 13 = 0.75*x - 0.50*x

2 = 0.25*x

x = 2/0.25

x = 8.

So After 8 number of games both has equal amount of money.

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Answer:

Step-by-step explanation:

One knief costs 5.52 dollars

Let the cost of knief be x dollars and the cost of spoon be y dollars.

A knife costs 3 times the cost of a spoon.

So, we get an equation,

x = 3y                       ..............(1)

9 spoons and 12 knives cost $82.80

So, we get an equation,

12x + 9y = 82.80        .........(2)

Substitute above value of x in equation (2),

12(3y) + 9y = 82.80

45y = 82.8

y = 1.84

Subatitute above value of y in equation (1),

x = 5.52

Therefore, the cost of knief is 5.52 dollars

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Answer:

C)117

Step-by-step explanation:

50%=1/2

If you want to figure out how much is left of a half all you do is have to divide the total number of whatever it is, in this case, its roses, by 2.

So now that we know that, let's get started.

234/2=117

Which we know is correct because it's one of your answer choices.

So 117 roses are not red. The other half was.

I hope this helps!!!

The equation of line passes through the point (8, 2) will be;

⇒ y = 1/4x

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (8, 2).

And, The slope of perpendicular line is,

⇒ m = - 4

Now,

Since, The equation of line passes through the point (8, 2).

So, We need to find the slope of the line.

Since, The product of slope of the perpendicular line is - 1.

Hence, Slope of the line is,

m = - 1/- 4

m = 1/4

Thus, The equation of line with slope 1/4 is,

⇒ y - 2 = 1/4 (x - 8)

⇒ y - 2 = 1/4 (x - 8)

⇒ y - 2 = 1/4x - 2

⇒ y = 1/4x

Therefore, The equation of line passes through the point (8, 2) will be;

⇒ y = 1/4x

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The transformations of f(x) are (b) horizontally shrunk by a factor of 1/4, vertically stretched by a factor of 5 and then reflected across the x-axis

From the question, we have the following function that can be used in our computation:

f(x) = x²

g(x) = -5(4x)²

Mathematically, these equations can be represented as

g(x) = -5f(4x)

The above equations implies that, we have the transformation to be:

Hence, the transformed function is (b(

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