90 POINTS!! PLEASE HELP, IF YOU GIVE CORRECT ANSWER ILL GIVE YOU BRAINLIEST!!

Using the Pythagorean Theorem, it is found that the rate of change of the hypotenuse is of -9.8 in/sec.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

Applying implicit differentiation, the rate of change of the hypotenuse is given by:

[tex]2h\frac{dh}{dt} = 2l_1\frac{dl_1}{dt} + 2l_2\frac{dl_2}{dt}[/tex]

[tex]h\frac{dh}{dt} = l_1\frac{dl_1}{dt} + l_2\frac{dl_2}{dt}[/tex]

In this problem, we have that the parameters are given as follows:

[tex]l_1 = 21, \frac{dl_1}{dt} = -7, l_2 = 28, \frac{dl_2}{dt} = -7[/tex]

[tex]h = \sqrt{l_1^2 + l_2^2} = \sqrt{21^2 + 28^2} = 35[/tex]

Hence, the rate of change of the hypotenuse, in inches per second, is given by:

[tex]h\frac{dh}{dt} = l_1\frac{dl_1}{dt} + l_2\frac{dl_2}{dt}[/tex]

[tex]35\frac{dh}{dt} = 21(-7) + 28(-7)[/tex]

[tex]\frac{dh}{dt} = \frac{21(-7) + 28(-7)}{35}[/tex]

[tex]\frac{dh}{dt} = -9.8[/tex]

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Answer:

I think its A but not sure it's the one that makes the most sense though

Answer:

12:20:25

I thnk this is it. I'm not sure though

Answer: They have raised $100 for the materials for the project. The colored glass costs $5 per square foot and the clear glass costs $3 per square foot.

Step-by-step explanation:

The number of the different ways could the students sit with a partner during the awards ceremony will be 24.

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

Four seventh-grade students won awards.

Then the number of the different ways could the students sit with a partner during the awards ceremony will be

P = 4!

P = 4 x 3 x 2 x 1

P = 24

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Answer: 2/3

Step-by-step explanation:

First, find the probability of rolling an odd number. The odd numbers on a 6-sided die are 1, 3, and 5. This is a probability of 3/6.

Now, find the probability of rolling a 2. There's only one 2 on a die, so the probability is 1/6.

Next, add these together. 3/6 + 1/6 = 4/6. This can be reduced by dividing both the numerator and denominator by 2. This results in a final probability of 2/3.

Using conditional probability, the equation that implies that a and b are independent events is P(B|A) = P(B).

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

If A and B are independent events, we have that:

[tex]P(A \cap B) = P(A)P(B)[/tex].

Then, at the conditional formula:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)[/tex]

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Answer:

P(B/A)=(A)

Step-by-step explanation:

trust me

Answer:

Option B: [tex](x + 6)^2[/tex]

Step-by-step explanation:

Hello!

We can simply expand each option to find which one matches the trinomial [tex]x^2 +12x + 36[/tex]

It does not match.

Option B matches, so it is the right solution.

Answer:

D) 8

Step-by-step explanation:

Use the Intersecting Chords Theorem to find the value of x:

[tex]x*x=16*4\\\\x^2=64\\\\x=8[/tex]

Answer:

13/40.

Step-by-step explanation:

We add the probability in this case.

So it is 1/5 + 1/8

=  8/40 + 5/40

= 13/40.

Paula will take 3.125 hours to reach the grandmother's house if the constant rate of the scooter is 24 miles per hour, option third is correct.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

Let's suppose the distance between Paula's home to her grandmother's house is x miles

Then x = 30×2.5   (Distance = speed×time)

x = 75 miles

If one day, Paula rides a scooter to her grandmother’s house at a constant rate of 24 miles per hour, the time she takes:

= 75/24

= 3.125 hours

Thus, Paula will take 3.125 hours to reach the grandmother's house if the constant rate of the scooter is 24 miles per hour, option third is correct.

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Answer:

c

Step-by-step explanation:

Answer:

    29. (2) 12

    30. (1) a slope of 3/2 and a y-intercept of -6

    31. (1) 12

    32. (4) 8%

    33. (1) -5

Step-by-step explanation:

Question 29

Question 30

Question 31

Question 32

Question 33

Answer:

y = -1/2(x - 3)(x - 7)

Step-by-step explanation:

we already have the x intercepts so we can first put those in our equation

y = a(x - 3)(x - 7)

then we can plug in the vertex to find what our a value is

2 = a(5 - 3)(5 - 7)

2 = a(2)(-2)

2 = -4a

a = -1/2

so your equation is

y = -1/2(x - 3)(x - 7)

Answer:

supermax makes it go fast

Step-by-step explanation:

The equation that does not assign one value to y is [tex]\frac 5y = 7x + \frac{10}{2y}[/tex] and the points that do not represent a function is (c)

To do this, we simply make y the subject of formula.

So, we have:

[tex]\frac 5y = 7x + \frac{10}{2y}[/tex]

Simplify

[tex]\frac 5y = 7x + \frac{5}{y}[/tex]

Subtract 5/y from both sides

[tex]0 = 7x[/tex]

Rewrite as:

[tex]x = 0[/tex]

This means that the value of x is 0 irrespective of the value of y

Hence, the equation that does not assign one value to y is [tex]\frac 5y = 7x + \frac{10}{2y}[/tex]

For a set of point to represent a function, the points must represent a one-to-one or many-to-one relationship.

From the list of options, option (3) represents a one-to-many relationship.

This is so because one x value has 3 y values

Hence, the points that do not represent a function is (c)

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Answer:

1st option y-5 = 3(x-1)

Step-by-step explanation:

graph shows y intercept of 2

1st option has a y intercept of 2

Answer:

Option 1

Step-by-step explanation:

Clearly, the slope of the line is 3. (As it cannot be negative in this case and it's more vertical so it's not 1/3)

The point slope form is written as :

y - y₁ = m(x - x₁)

Substituting m = 3 :

y - y₁ = 3(x - x₁)

Option 1 is the only option with the value of m as 3.

Answer:

the b believes in me

Step-by-step explanation:

B)75km  etc

   1hr

[tex]\frac{75 \text{ km}}{1 \text{ hr}} \times \frac{1000 \text{ m}}{1 \text{ km}} \times \frac{1 \text{ hr}}{60 \text{ min}} \times \frac{1 \text{ min}}{60 \text{ sec}}[/tex]

========================================================

Explanation:

We'll use the following facts (either memorized or written on a reference sheet somewhere)

Each of those equations will form conversion factors to help us go from km/hr to m/s. Each conversion factor is a fraction connecting the two sides of the equation. Example: The equation 1000 m = 1 km forms the conversion factor of [tex]\frac{1000 \text{ m}}{1 \text{ km}}[/tex]

In choice B, notice how the fractions are set up. The "km" units cancel when dividing. The same goes for the "hr" and "min" units.

Check out the screenshot below where I show this cancellation in action. The color-coding helps show how the terms pair up and cancel.

Choice A comes close to what choice B is saying, but we don't have the "min" units cancel. So choice A is eliminated as an answer.

Choices C and D are also eliminated because of the "75 km" in the denominator. It should be 1 km.

Answer: x= [tex]\frac{85}{27}[/tex]=x

Step-by-step explanation:

1. Add 44 to both sides.
81+4=27x

2. Simplify  81+4 to 85.

85=27x

3. Divide both sides by 27.

[tex]\frac{85}{27}[/tex]=x

4. Switch sides.
X= [tex]\frac{85}{27}[/tex]

Decimal form: 3.148148

Answer:

87.36 ft.

Step-by-step explanation:

Angle of depression : 41°

Length of shadow : 76 ft.

Taking the tan ratio (let the height of the tree be 'h') :

tan 41° = 76/h

0.87 = 76/h

h = 76/0.87

h = 87.36 ft.

Answer:

the height of the tree = 87.4 ft (Rounded to the tenths place)

Step-by-step explanation:

the tree form a right angle with the ground

Then , we have a right triangle .

let H be the height of the tree.

[tex]\tan 41=\frac{76}{H}[/tex]

[tex]\Longrightarrow H = \frac{76}{\tan(41)} = 87.427998948797[/tex]

Answer:

POINT A

Step-by-step explanation:

it is 4 units to the left and 6 units up of the origin

Answer:

The zeros are x = -2, x = 0, x = 4.

Step-by-step explanation:

The zeros describe where the function crosses the x-axis, or where the y-value is zero. In this case, the zeros are x = -2, x = 0, x = 4.

Answer:

50 percent

Step-by-step explanation:

because sally was tried yesterday and went 25 percent faster today.

Answer:

times it bye 1.5 to get the next 8 terms

Step-by-step explanation: divide them all so 27.18 and 18/12 that will give you the same two answers thats what you times bye to get the next terms

Answer:

A. $115; $72/hour

B. c = 72h + 115

C. $8

Step-by-step explanation:

Part A.

1 hour: $187

2 hours: $259

2 hours - 1 hour = 1 hour

$259 - $187 = $72

$72/hour

The hourly rate is $72/hour.

Since for the first hour he charges $187, and only $72 comes from the hourly rate, then the initial cost is $187 - $72 = $115.

The initial cost is $115.

Part B.

c = 72h + 115

Part C.

Carpenter L for 6 hours:

c = 72(6) + 115 = 547

$547

Carpenter N for 6 hours:

60(6) + 195 = 555

$555

Difference: $555 - $547 = $8

Answer:

g < -7

Step-by-step explanation:

Check image below

Answer:

5^2

Step-by-step explanation:

..................................................

Answer:

Avani is the tiktoker everyone adores. however 49499 +4939+ 4969 is not the answer your looking for you. you have to subtract 39 from 129 to get the exact meters. and round it to the nearest tenth.

Step-by-step explanation:

Answer:

10/18 of the sweets are not mint

you can also simplify this fraction and say 5/9