Hello! I need some help with this homework question, please? The question is posted in the image below. Q3

Solution

Step 1

Write the nth term ex[pression and the common ratio formula.

Step 2

Step 3

Final answer

To write the numbers in increasing order, we start from the most negative to the most positive:

Answer

-3.45, -3.42, 0.99, 1.99, 2.01

To find the volume of a triangular pyramid, the formula is:

So we start by finding the area of the base, which is in the shape of a right triangle in this case.

The area of a right triangle is equal to 1/2 x base x height.

We use this area to find the volume.

The volume of the triangular pyramid is 30 cubic feet.

Statement Problem: Select all values of x for which;

Solution:

The value of x for which the two functions are equal is the x-coordinate of their insections;

The coordinates of the intersections are;

Thus, the values of x that is correct are;

Hence, CORRECT OPTIONS are;

Answer:

x=20

Step-by-step explanation:

To find x you must first set up an equation. (3x+90+90+120=360) the reason why i did that is because the red boxes indicate that they are 90° angles. They add up to 360 is because the quadrilaterals add up to 360. after solving for x, you should get x = 20.

The value of x in the figure is 3

How to find x from the figure?

Let us re -write the given values as fractions

[tex]\frac{5}{8} =\frac{x+3.25}{10} \\\\[/tex]

By applying cross multiplication method,

5(10) = 8(x+3.25)

50 =8x +26

8x = 50-26

8x = 24

x = 3

Similarly re- writing next set of vales as fractions,

[tex]\frac{2}{5} =\frac{2.5}{x+3.25} \\\\[/tex]

By applying cross multiplication method,

2(x+3.25) = 5(2.5)

2x+6.5 = 12.5

2x = 12.5 - 6.5

2x = 6

x = 3

What is cross multiplication of fractions?

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To do the operation, first the numerator and denominator by 100:

Now simplify

Therefore,

Answer:

60

Step-by-step explanation: 35.4 / 0.59 = 60

Answer:

< 6 = 58°

< 8 = 58°

< 5 = 122°

<7 = 122°

Step-by-step explanation:

<6 = <8 because corresponding angles are equal

5y + 13 = 7y -5  Subtract 5 y from both sides

13 = 2y -5  Add 5 to both sides

18 = 2y

9 = y

Now that we know that y = 9, we plug it back into either equation

5y + 13

5(9) + 13

45 + 13

58

<5 is supplemental to <6  so 180 - 58 = 122

<8 is supplemental to < 7 so it is 122 also

Six times menas multiply by six:

a number = x

The sum of -5 and six times a number

-5 + 6x

The representative took a sample to estimate the proportion of customers that do not subscribe to movie channels.

He took a sample from the customer base and the sample proportion he gets is 22% (p = 0.22). This sample proportion is an unbiased estimator of the populations proportion, so we can use it to calculate how many customers do not subscribe to movie channels:

Answer: we can estimate that there are 1153 customers that do not subscribe to movie channels.

Given:

To convert into decimal:

Explanation:

Let us write it as the factored form for each term.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{64}{128}}\\\\\mathsf{= \dfrac{64\div8}{128\div8}}\\\\\mathsf{= \dfrac{8}{16}}\\\\\mathsf{= \dfrac{8\div4}{16\div4}}\\\\\mathsf{= \dfrac{2}{4}}\\\\\mathsf{= \dfrac{2\div2}{4\div2}}\\\\\mathsf{= \dfrac{1}{2}}\\\\\\\huge\text{Therefore, the answer simplified is:}\\\huge\boxed{\mathsf{\dfrac{1}{2}}}\huge\checkmark[/tex]

[tex]\mathsf{\dfrac{1}{2}\rightarrow 1\div2 \rightarrow 0.5}\\\\\\\huge\text{Therefore your decimal form of }}\huge\boxed{\boxed{\rm{\dfrac{1}{2}}}}\huge\text{ is:}\\\\\huge\boxed{\mathsf{0.5}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

If the saving compounded monthly at an interest rate of 6%. The amount you need to deposit a month is $8,302.

Using this formula  to determine the principal amount

P = A / (1 + r/n) ^nt

Where:

P =  principal = ?

A = amount = $50,000

r = interest rate = 6%

t = time  = 30  

Now let  plug in the formula

P = $50,000 / (1 + 0.06/12) ^( 12 × 30 )

P = $50,000 / (1 + 0.005) ^ 360

P = $50,000 / (1.005)^360

P = $50,000 / 6.022575

P = $8,302

Therefore $8,302.10 is the amount deposited.

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Base of the rectangle is 9 inches.

You may determine the area of any form by counting how many unit squares fit inside of it.

In this context, a square with a side of 1 unit is referred to as a unit square.

In other words, the area of the rectangle is equal to the number of unit squares inside its perimeter.

Area = base * height

Given,

Area = 108 in²

height = 12 inches

put these values in given formula,

108 = 12 * base

base = 108 / 12

       = 9 inches

Therefore, Base of the rectangle is 9 inches.

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We have the following configuration for this problem:

where y is the distance, in feet, Corey stepped back.

Then, we have:

And:

Now, using the first into the second equation, we obtain:

Therefore, Corey stepped back approximately 59.71 feet.

ANSWER

Tyler was right

EXPLANATION

To answer the question, we have to find the rate at which the temperature dropped between 4pm - 6pm and 6pm - 10pm

By 4pm, the temperature was 25°F and by 6pm, the temperature was 17°F.

The temperature difference is:

T = 17 - 25 = -8°F

There are 2 hours between 4 and 6 pm.

Now, we divide by the number of hours that elapsed:

By 6 pm the temperature was 17°F and by 10pm, the temperature was 8°F.

The temperature difference is:

T = 8 - 17 = -9°F

There are 4 hours between 6 and 10 pm.

Now, divide by the number of hours that elapsed:

As we can see, the rate at which the temperature dropped between 4pm and 6 pm is more (since it became colder at a faster rate during that period)

Therefore, Tyler was right.

We will solve this problem thus:

Solving further we will have:

Answer: We have to select the statistical questions out of the given options,

the statistical questions are any questions that involve the use of data, therefore following options are the statistical questions:

Therefore (1) (2) and (4) use the data, they are the statistical questions.

Answer:

112 yards

Step-by-step explanation:

quarter is 1/4 right¿

28 × 4 = 112

Answer: -1

Step-by-step explanation:

The midpoint of a segment is the same as the average of the coordinates of the endpoints. So, the midpoint is [tex]\frac{-7+5}{2}=-1[/tex].

Considering the given quadratic function, it is found that:

1. The rocket splashes down after 50.8 seconds.

2. The rocket peaks at 3365.3 meters above sea level.

The height of the rocket after t seconds is given according to the following rule:

h(t) = -4.9t² + 241t + 402.

Which is a quadratic equation with coefficients given by:

a = -4.9, b = 241, c = 402.

It splashes down when it hits the ground, that is, when h(t) = 0, hence:

-4.9t² + 241t + 402 = 0.

Then:

Time is a positive measure, hence it splashes down after 50.8 seconds.

The height of the rocket is a concave down quadratic equation, hence the maximum height is the y-coordinate of the vertex, given as follows:

[tex]h_{MAX} = -\frac{\Delta}{4a}[/tex]

Both these parameters have been found in the previous item, hence:

[tex]h_{MAX} = -\frac{65960.2}{4(-4.9)} = 3365.3[/tex]

3365.3 meters.

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The volume of the tree trunk increases 52.64% in one year.

Given,

The height of a tree trunk = 100 inches

The diameter of a tree trunk = 5 inches

Diameter increases 1 inch per year

Height increases 6 inches per year

We have to find the increase in its volume.

Consider the trunk as a circular cylinder.

Volume of circular cylinder = πr²h

Radius, r = 5/2

Height, h = 100

Initial Volume =  πr²h

Volume = π × (5/2)² × 100 = π × 6.25 × 100 = 1963.50 cubic inches

After one year

Diameter = 6

Height = 106

Increased Volume =  πr²h

Volume = π × (6/2)² × 100 = π × 9 × 106 = 2997.08 cubic inches

The rate of increase in volume = (Increased volume × 100) ÷ Initial volume

= (2997.08 × 100) ÷ 1963.50 = 152.64

That is,

The volume of the tree trunk increases 52.64% in one year.

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The answer to this question will be 15.

3/5 of 125 = 3/5 x 125 = 75

5/8 of 144 = 5/8 x 144 = 90

So, 5/8 of 144 - 3/5 of 125 = 90 - 75 = 15

The difference between 3/5 of 125 and 5/8 of 144 is 15.

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The first step is to collect like terms:

This is done by adding 6 to both sides of the equation

1) add 6 to both sides (option D)

2x/3 -6+6 = 2+6

2x/3 = 8

The second step is to cross multiply OR

multiply both sides of the equation by 3

2x = 8(3)

2x = 24

2) Multiply both sides by 3 (option A)

The third step is to divide both sides by 2

2x/2 = 24/2

3) Divide both sides by 2 (option B)

x = 24/2

4) x = 12 (option C)

1) In this problem, we need to keep in mind the formula for the volume of one cylinder:

Or in other words, the base area (area of a circle) times the height.

2) Since the point here is not to lose capacity (volume) the new design must keep its base areas as well as their height, so examining the answers we can tell that the answer is:

These are the minimum requirements

2 1/6 is the answer

9 3/4 divided by  4 1/2 = 2 1/6

∠10 and ∠16 are Alternate exterior angles, ∠4 and ∠12 are Consecutive exterior angles, ∠12 and ∠13 are Consecutive Interior angles and ∠3 and ∠9 are Alternate Interior angles.

1. If two lines which are in the same plane are intersected by another line at two different lines, eight angles are formed, and that another line is called the transversal.

In the provided figure,

In the angles,

∠10 and ∠16, q is the transversal and these are Alternate exterior angles.

∠4 and ∠12, n is the transversal and these are Consecutive exterior angles.

∠12 and ∠13, q is the transversal and these are Consecutive Interior angles.

∠3 and ∠9, n is the transversal and these are Alternate Interior angles.

2. Referring tot the cube ABCDHGFE,

a. All planes that are parallel to the plane DEH are CBF and FGC.

b. All segments that are parallel to AB are EF, HG and DC.

c. All segments that intersect GH are EH, HG, FG and CG.

d. All segments that are skew to CD are AB, EF and HG.

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The probability of the required event is [tex]\frac{1}{2}[/tex]

Number of batteries removed by Elon = 2

And then he mixed these batteries with the other two batteries

Thus total number of batteries = 4

These 4 batteries as given is identical

Now since it is given in the question that there aren't any replacements thus it means that we don't have to apply the Baye's theorem. So we can simply write it as it is mentioned below.

Thus the probability of taking out two batteries which are good without any replacement :

Probability = [tex]\frac{number of outcomes }{total number of favorable outcomes}[/tex]

Given number of outcomes = 2

Total number of favorable outcomes = 4

Thus the probability of the given event is = [tex]\frac{2}{4}[/tex]

Thus P( E ) = [tex]\frac{1}{2}[/tex]

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The question we have to solve is:

To solve this equation, we take all the "s"'s to one side and numbers to the other and simplify:

When we want to divide by a fraction, we mulitply by its reciprocal. So,

Given:

25% of p is 19.

The expression to calculate the 15% of p is,

Substitute value of p=76 in the above expression.

Thus, 15% of p is 11.4.