What is the common ratio between successive terms in the sequence?

1.5, 1.2, 0.96, 0.768,

The pyramid's volume will increase by 11.79%.

A Pyramid's volume is calculated as:

[tex]V=\frac{B h}{3}[/tex]

Where:

When the height increases from 458 to 512, the initial and final volumes are as follows:

[tex]\begin{aligned}&V_1=\frac{458}{3} b \\&V_2=\frac{512}{3} b\end{aligned}[/tex]

The percentage difference is then calculated as follows:

[tex]\% \text { Change }=\frac{V_2-V_1}{V_1} \times 100 \%[/tex]

We obtain:

[tex]\% \text { Change }=\frac{512 b / 3-458 b / 3}{4586 / 3} \times 100 \%\\\% \text { Change }=\frac{54 b / 3}{4586 / 3} \times 100 \%\\\% \text { Change }=0.1179 \times 100 \%\\\% \text { Change }=11.79 \%[/tex]

Therefore, the pyramid's volume will increase by 11.79%.

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The correct question is given below;
If the height of the pyramid were increased to 512 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase

Answer:

y-20=0.75(x-4)

Step-by-step explanation:

First, use slope formula to find the slope.

The points I will use are (4, 20) and (8, 23).

Formula:

y2-y1/x2-x1

23-20/8-4=

=3/4

The slope in decimal form is 0.75.

Now you put the linear equation in point-slope form.

m=0.75

Use the point (4, 20).

y-y1=m(x-x1)

y-20=0.75(x-4)

The linear equation is point-slope form is y-20=0.75(x-4).

Hope this helps!

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Answer:

D

Step-by-step explanation:

Solve for X:

3x-8≥7

3x≥15

x≥5

Any value of x is greater than or equal to 5

This is represented by answer D

Answer:

1/2

Step-by-step explanation:

simply divide 3/10 to get 0.3 and then divide 3/5 to get 0.6 then just divide 0.3 to 0.6 to get 0.5 or 1/2

If angle 1 and angle 2 supplementary, angle 2 and angle 3 are supplementary, The measure of  ∠2 = 47° and  ∠3 = 133°.

Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are supplementary  angles as the total of these two angles is 180°. The sum of complimentary angles is 90 degrees.

Given,

the measure of angle 1 = 133°

As, ∠1 + ∠2 are supplementary angles,

⇒  ∠1 + ∠2 = 180°                                        ......(1)

∠2 + ∠3 are supplementary angles,

⇒  ∠2 + ∠3 = 180°                                       .......(2)

From (1),

⇒ 133° + ∠2 = 180°

⇒ ∠2 = 47°

From (2),

47° + ∠3 = 180°

∠3 = 133°

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Answer:

cho kevin and sydney qualify

Step-by-step explanation:

Answer:

it would be A since the plus sign is canceled by the minus sign for the equation.

the correct option is:

"Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions."

Miguel wants to do the product below:

-0.6*(5/6)

And he know that to do it, he should convert both numbers to the same form, only that he does not know if he should transform the decimal number into a fraction or the fraction into a decimal.

It is always easier to work with fractions, so the blind answer is to go with the fraction, but let's see why this is the best option.

5/6 written as a decimal will give:

5/6 = 0.833....

It is a repeating decimal number, so taking the exact product would be impossible to do by hand if we used both numbers in decimal form.

While -0.6 written as a fraction is really trivial, just multiply it and divide it by 10, it becomes:

-0.6  = -6/10

Then the product is:

(-6/10)*(5/6) = -5/10 = -1/2

Then the correct option is:

"Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions."

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Answer:

The answer is Option C

Answer:

I think the answer would be C

Step-by-step explanation:

Answer:

(b*.18)

Step-by-step explanation:

In terms of tips, 18% of $1.00 is $0.18. So for every dollar in the total (b) we can assume that it is going to be 18% of the overall total. 18% is 18/100 or .18, so we know the tip will be .18 of b (b*.18).

Answer:

7 major of system units defination and function

Theoretical probability is what might happen, but the experimental probability is definitely happens in trials. The probability in these cases is 0.25.

Theoretical probability is based on the total outcomes vs the desired outcomes; due to this, this is just the expectation of what will hapen. However, as this is mainly based on expectations, it is not completely accurate.

On the other hand, the experimental probability is based on the observation of reality as the probability is tested, which makes it more accurate.

Desired outcomes /total outcomes

Probability of getting red in the spinner:

Probability of getting a 4 in a dice

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You cannot find f * g because the functions have different domains

The functions are given as:

f = {(-1, 7), (1, 3), (3, 4), (6, 8), (7, 0)}

g = {(0, 10), (2, "-6)," (4, 7), (8, "-1)}

In the above function definitions. we have

Domain of f(x): -1, 1, 3, 6, 7

Domain of g(x): 0, 2, 4, 8

See that both functions have different domains

This means that you cannot find f * g because the functions have different domains

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If a linear system has more unknown equations then it must have infinitely many solutions, which is true.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

If there is only one equation with more than one parameter, then the number of the solution will be infinite.

If a linear system has more unknown equations then it must have infinitely many solutions, which is true.

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Answer:

The zeros are x =5, -7/2

Step-by-step explanation:

To find the zeros, set the expression equal to zero

(x-5)(2x+7) =0

Using the zero product property

(x-5)=0     (2x+7)=0

Solve each equation

x=5               2x = -7

x=5                  x = -7/2

The zeros are x =5, -7/2

Answer:

5, -7/2

Step-by-step explanation:

[tex]x - 5 = 0 = 5\\\\2x + 7 = 0\\2x + -7 = 0\\\frac{2x}{2} = \frac{-7}{2}\\ x = \frac{-7}{2}\\x = -\frac{7}{2}[/tex]

Thus,

x = 5

x = -7/2

The photo is not visable, can you type the question iin the comments I WILL solve it :)  

Answer:

The distance between both points is 5 units

Step-by-step explanation:

The distance formula is: d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}

Answer:

Step-by-step explanation:

the amount of garbage started to increase around 2005 or 2007

Just plot a point anywhere they graph is straight

The points Y and Z after transition are (-4,-2) and (-2,4)

In this case, we are required to find x' and y' to find the direction of transition

x' =x coordinate of point 2 - x coordinate of point 1

   = 0-2 = -2

y'= y coordinate of point 2 - y coordinate of point 1

   =4-2 = 2

Now we are required to  subtract these transition from the points given,

Transition of point Y = (-2-2 ,0-2)  =(-4,-2)

Transition of point Z =(0-2,6-2)  = (-2,4)

Hence the points after transition are  Y as(-4,-2) and Z as (-2,4)

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The fraction of 1/2 of the number of liters of blue paint is 3/4 therefore 3/4 liters of blue paint must be used to draw that painting.

If we divide two numbers by each other then the upper word is called the numerator, a lower word is called the denominator, and the representation is known as the fraction.

Given that,

Maritza bought 1.5 liters of blue paint.

The given painting is going to be used 1/2 fraction of the total liters of blue paint.

1/2 of the blue paint ⇒

(1/2)1.5

⇒ (1/2)15/10

⇒ (1/2)3/2

⇒ 3/4 liters of blue paint.

Hence "The fraction of 1/2 of the number of liters of blue paint is 3/4 therefore 3/4 liters of blue paint must be used to draw that painting".

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The given question is in another language the translation in English is as follows;

Maritza bought 1.5 liters of blue paint. if I use 1/2 of the contents of that can to paint a mural

How many liters of blue paint do I use on this?

Answer:

1. 15.17ft          2. 18.57ft           3. 22.41%

Step-by-step explanation:

1. What was the length of one side of the garage originally?

Area of a square = s × s which is also equal to s²

s means one side of the square, as it is a square, all sides are equal.

so

230 = s²

s = √230 = 15.17

2. What is the length of one side of the garage now?

The original area of the garage was 230ft²

But now, the area has increased by 50%

Increased Area = 230 × 50% = 115ft²

Total Area = 230 + 115 = 345ft²

In the question, they are saying that after the area is increased, the garage is still a square which means that the side lengths have equal values.

Area = s²

345 = s²

s = √345 = 18.57

3. What was the percentage increase of the length of one side?

   Length : Percentage

     15.17   :      100

    18.57   :         x

When the length of one side was 15.17, the percentage was 100% as that is what the original length was, we can use ratio and proportion to find what the percentage will be when the length is 18.57.

Now cross multiply

18.57 × 100 = 15.17x

1857 = 15.17x

1857/15.17 = x

x = 122. 41

The new percentage is 122.41%

The difference between both percentages is:

122.41 - 100 = 22.41

And 22.41 is the percentage increase.

Answer:

[tex]x = \frac r{s + t}[/tex]

Step-by-step explanation:

Hello!

Solve by isolating the variable.

The solution for x is [tex]x = \frac r{s + t}[/tex].

Answer: Total cost for her would be $8.05

Step-by-step explanation:

Given:

Berry Ice charges $6.25 a cup

$0.60 for each topping (x) you add

since she wants a cup with 3 toppings.

then

total cost = 6.25 (cost of 1 cup) + 0.60*3 ($0.60 for each topping then for 3 topping 3*cost of 1 topping)

=$8.05

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Answer:

5.0 × 1012 kg-4. I'm pretty sure this is the answer

Answer:

2.41

Step-by-step explanation:

We needed split up 30 into 2 factors where one of them had to be the same number on the bottom. Since 6 is on the bottom we need to find a number that multiples with 6 to get to 30 and 30/6 gives us 5. So then we can split up 30g into 5g *6g and with the exponents of course. Now since 5g and 6g are multiplying, we can just take 5g out of the equation. If they were adding or subtracting we couldn't.So that gives us 5g^5 * (6g^5/6g^9). According to exponent laws or whatever they're called, if 2 numbers have the same base and have exponents, we can add or subtract the exponents if they are being multiplied or divided by each other. Therefore our final answer is 2.41.

The irreversible loss of an island from over 100 acres in size to less than 3 acres is an example of the irreversible nature of human change.

Human activity has lead to the change of Earth's climate in unimaginable ways over the last thousand years. Some of these changes are so significant that they are practically inevitable and irreversible.

Due to global warming, the planet's temperature is increasing gradually every year. This change in climate causes polar ice caps to melt and increases the water level.

Islands, which are pieces of land in between water bodies, are reducing in size due to this. The increased water level submerges some or all parts of an island. This is especially threatening for small islands.

This is not only dangerous for the human and wildlife population of these islands, but also for the general habitability. Due to frequent flooding, soil salinity increases and this makes it difficult to cultivate these islands.

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