If the given ratio of two similar solids is 5:3, what is the similarity ratio of the corresponding surface areas?

Answer:

24 by 113

Step-by-step explanation:

43 + 46 + 24 = 113

the % of people with both is 24%, thus the answer will be 24 by 113

Hope its correct and helps ya :)

Using the concept of simple interest and compound interest, the first equation is \(S = 200(1.1)^t\), while the second is S = 250 + 20t

c. It will take over 7 years for the accounts to be equal.

The similarities between simple interest and compound interest is that both deals with saving of money over certain period of time with a fixed rate. While the difference between both is that in compound interest, the interest are compounded while in simple interest it is not. This implies that compound interest is an exponential function while simple interest is a linear function.

Simple interest = P(1 + rt)

Compound interest = P(1 + r/n)ⁿˣ

To solve this, we can write equations;

For the first scenario;

\(S = 200(1.1)^t\)

For the second scenario;

S = 250 + 20t

NB: The first case is a compound interest while the second is a simple interest.

c. To determine when the two accounts will be equal;

\(250 + 20t = 200(1.1)^t\)

Solving for t;

t = 7.01 ≈ 7 years

Therefore, it will take over 7 years for the accounts to be equal

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With the help of proportions in the given similar triangles we know that the value of x is 3.5 units.

Euclidean geometry states that two objects are comparable if they have the same shape or the same shape as each other's mirror image.

One can be created from the other more precisely by evenly scaling, possibly with the inclusion of further translation, rotation, and reflection.

These three theorems—Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS)—are reliable techniques for figuring out how similar triangles are to one another.

So, in the given situation:

TR and WY are as follows:
TR/WU

24/2

2/1

Similarly,

TS/WV

2/1

7/x

7/3.5

Therefore, with the help of proportions in the given similar triangles we know that the value of x is 3.5 units.

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Sara should expect a paycheck of $91.80 from her first full of work.

In the question, we are given that Sara just started her first job as an assistant at an after-school child care center. She works 12 hours a week and makes $9 per hour. She has been told that 15% of her paycheck will be deducted for federal, state, and local taxes.

We are asked for the amount that Sara should expect her paycheck of, from her first full week of work.

The time for which Sara works weekly = 12 hours.

The per hour earning of Sara = $9.

Thus, the total earnings after working for 12 hours at the rate of $9 per hour is 12*$9 = $108.

Now, the deduction is given to be 15%.

Thus, the total deduction = 15% of $108 = $16.20.

The amount on the paycheck = The total earnings less the deduction,

or, the amount on the paycheck = $108 - $16.20 = $91.80.

Thus, Sara should expect a paycheck of $91.80 from her first full of work.

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Answer:

I am doinnnng ok just wait

Answer:

Points again!!!

Step-by-step explanation:

Hey thanks

Answer:

As baby porcupine is backed into cactus, so the spines of cactus will feel like spines of mother porcupine. So the baby porcupine will give  call to its mother.

Step-by-step explanation

He said hi Ma.

The equation of a circle with a center at (4,−9) and a radius of 5 is

(x−4)^2+(y+9)^2=25. The correct Option C.

A circle is a set of all points which are equally spaced from a fixed point in a plane. The fixed point is called the center of the circle. The distance between the center and any point on the circumference is called the radius of the circle.

The equation of a circle with center (h, k) and radius r units is

(x−h)^2+(y−k)^2=r^2 .

where h = 4

k = -9

r = 5

The equation of the circle

(x−4)^2+(y−(-9))^2 = 5^2

The equation of the circle

(x−4)^2+(y+9)^2 = 25

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Answer:

The answer is 230.14

Easy long division

The magnitude of the vector sum (A + B) is approximately 4.974.

To find the magnitude of the vector sum (A + B), we need to add the corresponding components of vectors A and B and then calculate the magnitude of the resulting vector.

Given:

Vector A: (5.1, 0)

Vector B: (-2.6, -4.3)

To find the vector sum (A + B), we add the corresponding components:

(A + B) = (5.1 + (-2.6), 0 + (-4.3))

= (2.5, -4.3)

Now, let's calculate the magnitude of the vector (2.5, -4.3):

Magnitude = sqrt((2.5)^2 + (-4.3)^2)

= sqrt(6.25 + 18.49)

= sqrt(24.74)

≈ 4.974

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The sheet decreased by 1.5 meters and is now at 2.5 meters.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, s=−0.25t + 4 represents the thickness of the ice over t weeks. To find the thickness at 6 weeks, substitute t=6.

s = -0.25(6)+4

s = 2.5 meters

It started at t= 0 at 4 meters. So it decreased by (4 - 2.5) = 1.5 meters.

The start of spring has 4 meters because when t= 0, s= -0.25(0)+4 = 4

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During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the beginning of spring, the ice starts to melt.

The variable s models the ice sheet's thickness (in meters) t

weeks after the beginning of spring.

s=−0.25t+4s=-0.25t+4

s=−0.25t+4

By how much does the ice sheet's thickness decrease every 6 weeks?

Answer:

\(15n=10\\\\n=\dfrac{10}{15}\\\\n=\dfrac{2}{3}\)

Step-by-step explanation:

We need to find out of 4 options which equation has a solution of 2/3 for n.

Equation (1).

\(n-1=\dfrac{1}{3}\\\\n=\dfrac{1}{3}+1\\\\n=\dfrac{4}{3}\)

Equation (2).

\(16n=24\\\\n=\dfrac{24}{16}\\\\n=\dfrac{3}{2}\)

Equation (3).

\(15n=10\\\\n=\dfrac{10}{15}\\\\n=\dfrac{2}{3}\)

Equation (4).

\(1\dfrac{1}{3}+n=3\\\\n=3-\dfrac{4}{3}\\\\n=\dfrac{5}{3}\)

So, equation (3) has a value of n as 2/3. Hence, the correct option is (3).

Answer:

8x - 2

Step-by-step explanation:

2x + 3 - (5 - 6x) ← distribute parenthesis by - 1

= 2x + 3 - 5 + 6x ← collect like terms

= (2x + 6x) + (3 - 5)

= 8x + (- 2)

= 8x - 2

On solving the provided question we can say that The following is the data table of the function.

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

here,

the provided functions that can be formed are

           x            -infinity < x < -10

f(x) =    2x + 10          -10 < x < 10

           4X - 10       10 < x < infinty

The following is the data table of the function.

x              y

-20          -20

-15          -15

-10          -10

-5             0

0              10

5               20

10              30

15              50

20              70

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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.

A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.

Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

The following is the data table of the function.

x               y

-20          -20

-15           -15

-10           -10

-5              0

0              10

5              20

10              30

15              50

20             70

The provided functions that can be formed are

\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

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The margin of error is defined as follows:

M = 1.9z/sqrt(n).

In which:

The bounds of the confidence interval are given as follows:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

The margin of error is then given as follows:

\(M = z\frac{\sigma}{\sqrt{n}}\)

The problem is incomplete, hence the general procedure to obtain the sample size was presented.

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True statement for Protecting classified data is classified material must be appropriately marked.

Classified information being transmitted from one commission office to another shall be protected with a classified document cover sheet and hand delivered by an appropriately cleared person to another appropriately cleared person.

Classified information is material that a government body deems to be sensitive information that must be protected. Access is restricted by law or regulation to particular groups of people with the necessary security clearance and need to know, and mishandling of the material can incur criminal penalties.

Data classification is broadly defined as the process of organizing data by relevant categories so that it may be used and protected more efficiently. Data classification involves tagging data to make it easily searchable and trackable.  

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Therefore , the solution of the given problem of probability comes out to be AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)

The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance can be represented by any number between 0 and 1, in which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.

Here,

(a) The voting box contains a total of seven slips, four of which are for candidate A and three for candidate B. Thus, there are 35 events that can occur from 7 choose 4 (or 7 choose 3) options.

Each vote can be represented by a letter, with A standing for a vote for candidate A and B for candidate B, so that all outcomes can be listed. These are the potential results:

AAAA

AAAB

AABA

ABAA

BAAA

AABB

ABAB

BABA

BBAA

ABBB

BABB

BBAB

BBBA

(b)

For instance, the following results could occur if the slips were removed in the following order:

A (1 vote for contender A) (1 vote for candidate A)

AA (2 ballots for candidate A) (2 votes for candidate A)

AAB (2 ballots for candidate A, 1 vote for candidate B) (2 votes for candidate A, 1 vote for candidate B)

AAAB (3 ballots for candidate A, 1 vote for candidate B) (3 votes for candidate A, 1 vote for candidate B)

AAAAB (4 ballots for candidate A, 1 vote for candidate B) (4 votes for candidate A, 1 vote for candidate B)

AAAABB (4 ballots for candidate A, 2 votes for candidate B) (4 votes for candidate A, 2 votes for candidate B)

AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)

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John William is entitled to purchase 15,000 shares before the offering is made to the public.

a. To calculate the percentage of the total vote John William will control, we need to find the proportion of shares he owns out of the total shares represented at the meeting.

John William owns 6,000 shares out of the 20,000 shares offered so far. Therefore, the proportion of shares he owns is 6,000/20,000, which simplifies to 3/10 or 0.3.

To convert this proportion to a percentage, we multiply by 100:

Percentage of the total vote = 0.3 * 100 = 30%

Thus, John William will control 30% of the total vote at the.         shareholder meeting.    

b. Preemptive rights allow existing shareholders to purchase new shares before they are offered to the public. To determine the number of shares John William is entitled to purchase, we need to calculate the proportion of his current ownership.

John William owns 6,000 shares out of the total shares offered so far, which is 20,000. Therefore, his ownership proportion is 6,000/20,000, or 3/10.

If Peixotto Media plans to issue 50,000 new shares, John William's entitlement would be:

Entitlement = (3/10) * 50,000 = 15,000 shares.

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Answer:

y=3x+5

0 hours is $5

1 hour is $8

2 hours is $11

3 hours is $14

Step-by-step explanation:

y=mx+b

m = slope and b = y intercept

in this case 3 dollars an hour (x) would be m

and 5 rental fee would be B

Answer:

0.982 mile

Step-by-step explanation:

1 mile = 5280 ft

h = (5183ft) *(1 mile/5280ft) = 0.982 miles

The height of Denver, Colorado above sea level rounded to three decimal places is 0.982miles.

Measurement is simply the process of associating numbers with physical quantities and events.

Converting measurements in foot to miles as;

1foot = (1/5280)miles

Given that;

Since 1foot = (1/5280)miles

5183ft = ( 5183 / 5280 )miles

5183ft = 0.982miles

Therefore, the height of Denver, Colorado above sea level rounded to three decimal places is 0.982miles.

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Answer:

Unit Rate is a that makes a comparison to one unit.

Step-by-step explanation:

unit rate is that makes to comparison to one unit

Answer:

252 in²

Step-by-step explanation:

The 3 by 6 tab on the right is the same size as the 3 by 6 notch on the left

moving the tab into the notch make a perfect rectangle

The size of the rectangle will be

12 by 21

12 * 21 = 252

252 in²

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

yes the length of the strawberry patch can be greater than 1 yard.

A rectangle is a quadrilateral with four sides and four right angles.

Given that Danah wants the area of her rectangular strawberry patch to be exactly 1 square yard.

We have to find out whether the length of the rectangular strawberry patch can have a value greater than 1.

Area of a rectangle = Length x Width.

The area of the rectangular strawberry patch is exactly 1 square yard.

Area  = 1 square yard

Length x Width = 1 square yard

To have the area of the rectangular strawberry patch be exactly 1 square yard.

We can have the following cases :

Case 1.

Length = 2 and Width = 0.5

Area = Length x Width = 2 x 0.5 = 1 square yard.

Case 2.

Length = 4 and width = 0.25

Area = Length x Width = 4 x 0.25 = 1 square yard.

Case 3.

Length = 8 and width = 0.125

Area = Length x Width = 8 x 0.125 = 1 square yard.

Case 4.

Length = 10 and width = 0.1

Area = Length x Width = 10 x 0.1 = 1 square yard.

We see that we can have the length as 2, 4, 8, and 20 in order to have an area of the rectangle as 1 square yard.

Hence, yes the length of the strawberry patch can be greater than 1 yard.

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The digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number,

A rational number is a number that can be expressed as a ratio or fraction of two integers (a numerator and a non-zero denominator).

We can see that the next three digits in the decimal points are 6, 6 and 6, respectively. Therefore, the decimal equivalent of 22/6 is:

22/6 = 3.666666...

We notice that the digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number, which means that its decimal representation either terminates (ends) or repeats in a pattern. In this case, it repeats in a pattern of 6's.

Each of the digits after the decimal point will be 6 because this number is a rational number and repeating decimal with a repeating digit of 6.

The difference between 40 and the product of these digits and 6 is always 4.

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Step-by-step explanation:

Multiply to remove the fraction, then set equal to

0 and solve.

Inequality Form:

b<48.59

Interval Notation:

(−∞, 48.59)

The solution of the inequality 11.3 > b /4.3 is b< 48.59 along with the number line.

Given Inequality:

11.3 > b /4.3

To solve the inequality 11.3 > b / 4.3,

Multiply both sides of the inequality by 4.3 to eliminate the fraction:

11.3 * 4.3 > (b / 4.3) * 4.3

48.59 > b

The solution to the inequality is b < 48.59.

This means that any value of b that is less than 48.59 will satisfy the inequality.

To graph the solution, indicate that b is less than 48.59 by using an open circle at 48.59 and shading the line to the left of the open circle to represent all the values that satisfy the inequality.

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Answer:

2.5

Step-by-step explanation:

Given expression:

\(6 \times \left(\dfrac{2}{3} \div 2\right)+0.5\)

Following the order of operations (PEDMAS), carry out the calculation inside the parentheses first.

When dividing a fraction by a whole number, first covert the whole number into a fraction:

\(\implies 6 \times \left(\dfrac{2}{3} \div \dfrac{2}{1}\right)+0.5\)

When dividing fractions, flip the second fraction (swap the numerator and denominator), then multiply:

\(\implies 6 \times \left(\dfrac{2}{3} \times \dfrac{1}{2}\right)+0.5\)

\(\implies 6 \times \left(\dfrac{2 \times 1}{3\times2}\right)+0.5\)

\(\implies 6 \times \left(\dfrac{2}{6}\right)+0.5\)

\(\implies 6 \times \dfrac{2}{6}+0.5\)

Now carry out the multiplication:

\(\implies \dfrac{6 \times2}{6}+0.5\)

\(\implies \dfrac{\diagup\!\!\!\!6 \times2}{\diagup\!\!\!\!6}+0.5\)

\(\implies 2+0.5\)

Finally carry out the addition:

\(\implies 2.5\)

2.5

6*(2/3)/2 + 0.5

6*1/3 + 0.5

2 + 0.5

=2.5