PLEASE HELP ME OUT! QUICK POINTS FOR YOU!

All information needed can be found in the image below
Thank you in advance.

PLEASE HELP ME OUT! QUICK POINTS FOR YOU!All Information Needed Can Be Found In The Image BelowThank

Answers

Answer 1

Answer:

B. 254.3

Step-by-step explanation:

The formula for the area of a circle is:

[tex]A = \pi\cdot r^2[/tex]

and r is half the diameter.

[tex]r = 18in / 2 = 9in\\~\\A = \pi \cdot (9in)^2 \approx 3.14 \cdot 81in^2 = 254.34in^2[/tex]

Answer 2

Answer:

D. 254.3

Step-by-step explanation:

Use the formula pi times the radius squared to get the area.

The radius is nine because the diameter of the diagram is 18. (The radius is always half the diameter).

π[tex]r^2[/tex]

π[tex]9^{2}[/tex]

π81 ≈ 254.3 inches squared


Related Questions

The sum of four consecutive integers is -10. What is the largest integer?

Answers

The largest number is -1

What is number ?

An arithmetic value known as a number is used to represent a quantity and do calculations. Numbers are represented by written symbols, such as "3," which are referred to as numerals. A number system is a method of writing that uses logically ordered digits or symbols to represent numbers.

An item in mathematics used for measurement, labeling, and counting is a number. The prime numbers 1, 2, 3, 4, and so forth are the original examples. Number words can be used to represent numbers in language.

Let the 4 consecutive integers are

x

x+1

x+2

x+3

x + (x+1) + (x+2) + (x+3) = -10

4x + 6 = -10

4x = -16

x = -4

The 4 consecutive integers are -4 , -3 , -2 , -1

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Discuss the difference between r and p. Does r represent population correlation coefficient
Or critical value for the correlation coefficientorsample correlation coefficient.

Answers

r stands for the Pearson correlation coefficient, which measures the strength and direction of the linear relationship between two variables. p stands for the critical value for the correlation coefficient, which is used to determine the significance of the correlation coefficient.

The Pearson correlation coefficient (r) is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 0 indicates no linear relationship, and 1 indicates a perfect positive linear relationship. The correlation coefficient is a good way to determine the strength of the relationship between two variables.The critical value for the correlation coefficient (p) is used to determine the significance of the correlation. It is determined by the sample size, the number of variables being correlated, and the level of significance. The lower the P value, the more significant the correlation is. If the P value is below the chosen level of significance, then the correlation is considered statistically significant.In conclusion, r is the Pearson correlation coefficient and p is the critical value for the correlation coefficient. R measures the strength and direction of the linear relationship between two variables, while P indicates the significance of the correlation. Both measures are important when assessing the relationship between two variables.

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PLEASE HELP ME IM STUCK ON IT

Answers

The value of c in the given convex polygon is 2°

What is the sum of interior angles of a convex polygon?

If a convex polygon has n sides, then its interior angle sum is given by the following equation: S = (n −2) × 180°

According to the given question:

Number of sides in the given polygon n = 5

Therefore, sum of interior angles of the polygon S = (n -2 ) x 180°

S = (5 -2) x 180°

S = 3 x 180°

S = 540°

Now to find the value of c we can simply add all the interior angles given in the figure and equate it to S

Hence,

136° + 119° + 147° + 48° + 45c = 540°

                            450° + 45c = 540°

                                        45c = 90°

                                            c = 2°

So the value of c is 2°

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The quadratic function f(x) has roots of 3 and 7, and it passes through the point (1, 12). What is the vertex form of the equation of f(x)?

f(x) = −(x + 5)2 − 4
f(x) = −(x − 5)2 − 4
f(x) = (x + 5)2 − 4
f(x) = (x − 5)2 − 4

Answers

The vertex form of our quadratic equation is:

y = (x - 5)^2 - 4

What is the vertex form of the quadratic?

A quadratic equation with a vertex (h, k) and a leading coefficient a is:

y = a*(x - h)^2 + k

We know that the quadratic function has roots of 3 and 7, then if the leading coefficient is a, we can write:

f(x) = a*(x - 3)*(x - 7)

We also know that it passes through the point (1, 12), then:

12 = a*(1 - 3)*(1 - 7)

12 = a*(-2)*(-6)

12 = a*12

12/12 = a

1 = a

Then the quadratic is:

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

Expanding that we get:

y = x^2 - 3x - 7x + 21

y = x^2 - 10x + 21

The x-value of the vertex is halfway between the two roots:

x' = (3 + 7)/2 = 5

So evaluating in x = 5 we get:

y = (5)2 - 10*5 + 21

y = 25 - 50 + 21 = -4

The vertex is (5, -4), then the vertex form is:

y = (x - 5)^2 - 4

The correct option is the last one.

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Answer:

f(x) = (x − 5)2 − 4

Step-by-step explanation:

i got it right on my quiz

What is nth formula?

Answers

The nth formula of any mathematical expression represents the general formula for the given sequence or series.

nth formula of the given mathematical expression is the way of representing the given sequence or series in standard form.For example nth formula of the arithmetic sequence is given by        aₙ=  a + ( n - 1 )d.Here aₙ represents the nth term of the sequence.'a' represents the first term of the sequence.'n' represents the number of terms.'d' represents the common difference between the consecutive terms of the sequence.nth term help us to find value of any term without calculating others terms.

Therefore, the nth formula is used to represents the mathematical sequence or series in standard form.

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1. Evaluate each expression. Show your work. (6 points: 2 points for each correct answer with work shown)
B. (9)^1/2 + √25 - 8 ÷ 2 + 3^2
C. 1/2 x 3/5 (2^3 - 6
Please show your work for these 2 expressions.

Answers

Answer:

B.) 13

C.) 0.6

Step-by-step explanation:

The order of operations to evaluate these expressions is as follows:

Parentheses

Exponents

Multiplication/Division

Addition/Subtraction

So, for B.)

[tex]9^\frac{1}{2}+\sqrt{25}-8\div2+3^2[/tex]

This can be rewritten as
[tex]9^\frac{1}{2}+25^\frac{1}{2}-8\div2+3^2[/tex]

Since there are no parentheses, evaluate the exponents first:

[tex]3+5-8\div2+9[/tex]

Next, there are no multiplication steps, but there is one division:

[tex]3+5-4+9[/tex]

To finish, evaluate from left to right:

[tex]3+5-4+9\\8-4+9\\4+9\\13[/tex]

Follow the same pattern for C.)

[tex](\frac{1}{2})(\frac{3}{5})(2^3-6)[/tex]

This expression can be rewritten as

[tex](1\div2)(3\div5)(2^3-6)[/tex]

First, evaluate the expressions in the individual parentheses, keeping in mind the expression [tex](2^3-6)[/tex] must be evaluated following the same pattern (evaluate the exponent before subtracting six):

[tex](.5)(.6)(8-6)\\(.5)(.6)(2)[/tex]

To finish, evaluate from left to right:

[tex](.3)(2)\\.6[/tex]

Hope that helps!

Brain Bogglers II
Solve this puzzle by finding the correct values for A and B. The
pictures are important.
A-B= 1 and
2A + 20 =B

Answers

I think that A=19 and B=18

What additional information do you need to know in order to prove the two triangles congruent using HL?

Answers

There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL.

1. SSS (side, side, side)-If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

2. SAS (side, angle, side) -If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

3. ASA (angle, side, angle)-If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

4. AAS (angle, angle, side)-If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

5. HL (hypotenuse, leg)

This one applies only to right angle triangles

From the figure,

HL stands for "Hypotenuse, Leg" (the longest side of a right-angled triangle is called the "hypotenuse", the other two sides are called "legs")

It means we have two right-angled triangles with

The same length of hypotenuse andThe same length for one of the other two legs.

It doesn't matter which leg since the triangles could be rotated.

For example: From fig(2)

is congruent to fig(3)

If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.

The additional information need to know in order to prove the two triangles congruent using HL is the hypotenuses to be congruent.

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Gabby is an editor. She needs to review a textbook with 398 pages. She plans to review 9 pages each day for the next 31 days. She works out that she will have 279 pages left to review after that. Does that sound about right?

Answers

Step-by-step explanation:

Gabby is an editor. She needs to review a textbook with 398 pages. She plans to review 9 pages each day for the next 31 days. She works out that she will have 279 pages left to review after that. Does that sound about right?

398 - ( 9 * 31) = 119 pages left

No, because Gabby will only have 119 pages left after reading 9 pages a day for 31 days. 279 pages is an overestimate.

How can I learn algebra fast?

Answers

If you're not motivated, it would take you approximately nine months; however, if you are and can dedicate an hour or two every day to studying, it would only take you about six months.

How quickly can I learn algebra?

6 Unknown Methods for Quickly Mastering Algebra

Create your own memory-boosting techniques.One advantage of algebra .math in general, is that the rules never change.Learn shortcuts. familiarise yourself with the calculator. join a study group.get a tutor and encourage your child to ask their teacher for assistance.

You may probably self-study Math rather simply as if you were in college with all the free materials available online, including lectures, syllabi, ebooks, and MOOCS. You can go at your own pace, which is the finest part. It's common for algebra to be challenging because we mistakenly think we're learning new material when, in reality, we're just applying language to specific concepts that we already know to be true.

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the curved surface area and volume of a cylinder are 880 CM^2 and 3080 cm^3 respectively find its total surface area​

Answers

The total surface area​ of a cylinder are 1187.35 cm sq.

What is the volume of a right circular cylinder?

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

We are given the curved surface area and volume of a cylinder are 880 CM^2 and 3080 cm^3 respectively.

A = 880

V = 3080

Curved surface area of cylinder = 2πrh

880 = 2π x r x h

rh = 880/ 2π

Volume of cylinder = πr x r x h

3080 =  πr x r x h

rh =   3080 / πr

Substitue the values;

880/ 2π = 3080 / πr

440/π = 3080 / πr

r  = 3080 / 440

r = 7

Now, rh = 880/ 2π

h = 20.01

The total  surface area​ = 2πr(r + h)

= 2π x  7(7 + 20.01)

= 1187.35 cm sq.

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[(5^-1×3^-1)÷6^-1]
how would u do this​

Answers

Answer:

hi this is so simple you know use

formula to solve

Answer:

[tex] \frac{2}{5} [/tex]

Step-by-step explanation:

[(5^-1×3^-1)÷6^-1]

[tex] = (\frac{1}{5} \times \frac{1}{3}) \div \frac{1}{6} [/tex]

[tex] = \frac{1}{15} \div \frac{1}{6} [/tex]

[tex] = \frac{1}{15} \times 6[/tex]

[tex] = \frac{1}{3 \times 5} \times 3 \times 2[/tex]

[tex] = \frac{3 \times 2}{3 \times 5} [/tex]

[tex] = \frac{2}{5} [/tex]

mark as brainliest pls i need it

A farmer grows only sunflowers and flax on his 240-acre farm.
This year he wants to plant 80 more acres of sunflowers than of flax. How many
acres of each crop does the farmer need to plant?

Answers

Answer:

Flax: 80 acres

Sunflowers: 160 acres

Step-by-step explanation:

Let's

x = acres of flax

y = acres of sunflowers

We have the equations:

x + y = 240

y = x + 80

Let's do it in standard form

x + y = 240

x - y = -80

2x = 160

x = 80 acres

Now put 80 back in the equation to find sunflowers

80 + y = 240

y = 160 acres

So, 80 acres of flax and 160 acres of sunflowers!

What is the value of x in the figure?
Enter your answer in the box.
X =
220
to

Answers

The value of x =68

We know that x+22 = 90 because the sum of the two angles is a vertical angle to the right angle and vertical angles are equal.

x+22 =90

Subtract 22 from each side

x+22-22 = 90-22

x =68

In algebra, the letter "x" is frequently used to denote an unknown value. It is referred to as a "variable" or occasionally a "unknown.

"How do you find value of x?

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

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Answer: 68

Step-by-step explanation:

Provided the correct answer after places 34 as the answer.

According to the 2011 national survey of fishing, hunting, and wildlife-associated recreation, there were over 717171 million wildlife watchers in the us. Of these wildlife watchers, the survey reports that 80\%80%80, percent actively observed mammals. Suppose that one of the census workers repeated the survey with a simple random sample of only 500500500 wildlife watchers that same year.

Answers

The survey reports that 80%, percent actively observed mammals = 0.4246

Given that,

The 2011 national survey of fishing, hunting, and wildlife-associated recreation, there were over 71 million wildlife watchers in the us.

The survey reports that 80%, percent actively.

A simple random sample of only 500 wildlife watchers.

Following are the solution to the given question:

By using the approximation of normal for the proportions so, the values:  

P ( p⁻ < p ) = P ( Z < ( p⁻ - p ) / [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

So,

P ( 0.79 < p⁻ < 0.81 ) = P ( p⁻ < 0.81 ) - P ( p⁻ < 0.79 )

= P ( Z < (0.81-0.80) / [tex]\sqrt{\frac{0.80(1-0.80)}{500} }[/tex] ) - P ( Z < (0.79-0.80) / [tex]\sqrt{\frac{0.80(1-0.80)}{500} }[/tex] )

=  P ( Z < 0.56 ) - P ( Z < -0.56 )

= 0.7123 - 0.2877 (using the Z table )

P ( 0.79 < p⁻ < 0.81 ) = 0.4246

Therefore,

The survey reports that 80%, percent actively observed mammals = 0.4246

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Can a binomial have degree 3?

Answers

Yes , the given statement a binomial can have degree three is true.

As given in the question,

Binomial can have degree three is a true statement explain in a following way:

Binomial is a polynomial which is a combination of two terms combined by '+' addition or '-' subtraction mathematical operation.Binomial may have degree one , two , three , so on.Degree of the polynomial does not effect the definition of binomial.If it is of degree three it is cubic binomial or polynomial.One term represents monomial, three terms represents trinomial and so on.

Therefore, binomial may have degree 3 is a true statement.

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Alex is building a fence in the shape of an equal sided hexagon the total amount of fence available to him is 15 kilometers. How long is each side of the fence in miles?

Answers

Each side is 1.55 miles in the fence.

What is fence?

A structure meant to delineate a boundary or prevent escape or intrusion. Particularly: a boundary line or immaterial barrier made of posts, wire, or boards.

Given:

Alex is building a fence in the shape of an equal sided hexagon the total amount of fence available to him is 15 kilometers.

Since, Hexagon has six sides and each side is equal.

So there is 2.5 kilometer to fence each side.

Now to convert kilometer into miles.

Since

1 kilometer = 0.621371 miles

So,

2.5 kilometers = 1.55343 miles

Hence, each side is 1.55 miles in the fence.

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Find the perimeter of the square:

28

Answers

Answer:

4×side

Step-by-step explanation:

i hope this helps

How many terms are in the expression 4x 5?

Answers

There are 2 terms in this mathematical expression. One multiplication sign act as an operator of two numbers.

What is mathematical expression?

It is a mathematical statement express the relationship between two or more terms along with mathematical symbols. Terms can be numbers, variables with or without coefficient. symbols can be addition sign, multiplication sign, division and subtraction sign, equal or inequal sign etc. Beside this we have many other operator or symbols to state the mathematical expression.

How many terms we have in the following question?

In the above question, we have 2 numbers along with a symbol. We notice that 4 and 5 are two numbers multiplied here as there is a multiplication sign between them.

4 x 5 denotes an expression which state that 4 is multiplied by 5 and the result will be 20.

hence, we have 2 terms and one operator.

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What is the vertex of 2x² 8x 3?

Answers

The vertex of the graph of f(x) = 2x² + 8x - 3 is (-2, -11). It lies in the third quadrant.

Therefore the answer is (-2, -11).

Simplifying the given graph to the form f(x) = a(x - h)² + k

f(x) = 2x² + 8x - 3

f(x) = 2×(x² + 4x) - 3

f(x) = 2×(x² + 4x + 4) - 3 - 2×4

f(x) = 2×(x + 2)² - 11

So f(x) = 2x² + 8x - 3 is symmetrical about the line x = -2. At x = -2, y = -11.

Therefore, the vertex of the graph is (-2, -11).

--The question is incomplete, answering to the question --

"What is the vertex of the graph of f(x) = 2x² + 8x - 3?"

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If you reflected the point (x, y) over the line y = x, what would it become?

Answers

Answer:

(y, x )

Step-by-step explanation:

under a reflection in the line y = x

a point (x, y ) → (y, x )

How many unique sets of 3 prime numbers exist for which the sum of the numbers is 44?

Answers

The unique set of 3 prime numbers for which the sum of the numbers is 44 are {2, 5, 37}, {2, 11, 31}, {2, 13, 29} and {2, 19, 23}.

What is Prime Number?

Prime numbers are the numbers in the set of natural numbers for which 1 and the number itself are the only factors of it.

The numbers which are not prime are called composite numbers.

We have to find the set of 3 prime numbers which on adding yields 44.

Now 44 is a composite number and also an even number.

We also know that adding two odd numbers as well as adding two even numbers always gives the even number.

2 is the only even prime number.

So if we take this set which is not including 2, then by adding odd + odd + odd gives the odd number.

But the answer we needed is 44, which is even.

So this set always contain 2 as one of the prime number.

So by adding the other two prime numbers, we must get 42.

Thus we got,

{2, 5, 37}  = 2 + 5 + 37 = 44

{2, 11, 31} = 2 + 11 + 31 = 44

{2, 13, 29} = 2 + 13 + 29 = 44

{2, 19, 23} = 2 + 19 + 23 = 44

Hence the unique 3 set of prime numbers are  {2, 5, 37}, {2, 11, 31}, {2, 13, 29} and {2, 19, 23} for which the sum is 44.

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Which of the following is equivalent to −2(5p − 2q)?

−10p + 4q
−10p − 2q
−7p + 4q
−7p − 4q

Answers

Answer:

A,-10p+4q

Step-by-step explanation:

-2(5p-2q)

-2*5p+(-2*-2q)

-10p+4q

Answer:

[tex] - 10p + 4q[/tex]

is the answer. A

What quotient does the model Nestor made represent?

3 groups of cubes. In each group are 2 tens rods and 7 unit cubes.
3.21 ÷ 3 = 1.07
1.47 ÷ 7 = 0.27
0.21 ÷ 7 = 0.03
0.81 ÷ 3 = 0.27

Answers

The answer is 0.81 ÷ 3 = 0.27


Alex buys 24 apples from the supermarket. When he gets home, he finds that 6 apples are bad.
What percentage of the apples are bad? Round your answer to the nearest number.

Answers

Answer:

To find the percentage of bad apples, we need to divide the number of bad apples by the total number of apples and then multiply by 100%. In this case, there were 24 apples in total and 6 of them were bad, so the percentage of bad apples is 6/24 * 100% = 25%. Rounded to the nearest number, this is equal to 25%.

Which number is larger 1.1 10000 or 1000?

Answers

Simplification of the given numbers  (1.1)^ 10000 or 1000 gives

(1.1)^ 10000 is larger number than 1000.

As given in the question,

Given two numbers are:

(1.1)^ 10000  and 1000

Simplify the numbers to get the larger number we have,

Apply Binomial theorem in the expression   (1.1)^ 10000

( a + b )ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b² +.....+ ⁿCₙa⁰bⁿ

(1.1)¹⁰⁰⁰⁰

= ( 1 + 0.1)¹⁰⁰⁰⁰

Here a = 1, b = 0.1 and n= 10000

( 1 + 0.1)¹⁰⁰⁰⁰

=¹⁰⁰⁰⁰C₀1¹⁰⁰⁰⁰(0.1)⁰ + ¹⁰⁰⁰⁰C₁1¹⁰⁰⁰⁰⁻¹(0.1)¹ + ¹⁰⁰⁰⁰C₂1¹⁰⁰⁰⁰⁻²(0.1)² +..........+ ¹⁰⁰⁰⁰C₁₀₀₀₀1⁰(0.1)¹⁰⁰⁰⁰

= 1 + 1000+......

= 1001+ ....

> 1000

Therefore, from the given numbers (1.1)^ 10000 or 1000 the larger number is (1.1)^ 10000 compare to 1000.

The above question is incomplete , the complete question is :

Which number is larger (1.1)^ 10000 or 1000?

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what is the answer of this?​

Answers

Answer:

The answer is 5

Step-by-step explanation:

length(Hypotenuse) = 13m

height(opposite) = 12m

ground(adjacent) = ?

using the formula

Hyp² = oppo² + Adj²

13² = 12² + Adj²

Adj² = 13² – 12²

Adj² = 169 – 144

Adj² = 25

Adj = √25

Adj = 5

:- the distance of the foot of the ladder from the bottoms wall is 5

i hope this helps

At which root does the graph of f x x 5 3 * x 2 2 touch the X axis?

Answers

The root of the graph of f(x) =(x - 5)3(x + 2)2 touches the x-axis at -2,5

(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

Given: Function f(x) is (x - 5)3(x + 2)2

If a curve touches the x-axis then f(x) = 0

⇒ (x - 5)3(x + 2)2 = 0.

But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.

⇒ (x - 5)3 = 0 and (x + 2)2 = 0

⇒ (x - 5) = 0 and x + 2 = 0

x = 5 and x = - 2.

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Sam i uing the number 2,3,5,and 7. She multiplied ome of thee number and got the product of 10. What are all of the product?

Answers

The possible product is:

2 * 5 = 10

1 * 10 = 10

In mathematics, multiplication is a process of combining numbers and finding the product. It is denoted by the symbol "x" or "*". There are different ways to perform multiplication, such as using a multiplication table, using a calculator, or using the standard algorithm. The standard algorithm is a systematic method for performing multiplication that involves multiplying the digits in the ones, tens, and so on place value columns, and then carrying and regrouping as necessary.

To find all the possible products that can be obtained by multiplying some combination of the numbers 2, 3, 5, and 7 that result in a product of 10. Here are the two possible products that can be obtained by multiplying these numbers:

2 * 5 = 10

1 * 10 = 10

The possible products that result in a product of 10 are 2 * 5 and 1 * 10.

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What are the 3 ways to pass parameters in C++?

Answers

There are three parameter-passing modes in C++: by value, by pointer, and by reference.

Now, According to the question:

There are three parameter-passing modes in C++: by value, by pointer, and by reference.

What are the three main parameters?

The three main parameters assessed when calculating the Human Development Index of a place are:

A. Economic parameters.

B. Health parameters.

C. Education parameters.

D. Linguistic parameters.

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At a local print shop, 18 copies can be made for $6. At this rate, how how many copies could be made for $28? Fill out the table of equivalent ratios until you have found the value of x. Copies Dollars 18 18 6 6 x x 28 28 It would cost $28 to make copies. why do you think the french government banned Denis Diderots Encyclopedia? 1. describe an algorithm that takes as input a list of n distinct integers and finds the location of the largest even integer in the list or returns 0 if there are no even integers in the list. Jacinta says there are infinitely many rational numbers between 0 and 1. Do you agree? Explain. use the table, with data for workers and firms, to answer the question. the payoff cells are labeled a, b, c, and d. there are multiple equilibria in the table. the desired outcome is cell a, but there is an equal chance of an equilibrium outcome in cell d. which of the following is an appropriate approach to resolving the problem through communication, so that the outcome in cell a is likely? the government decrees that firms cannot reduce employment. workers expect that their jobs are just as secure as their parents' jobs were. the government conducts an advertising campaign that urges households to increase their saving. firms announce that they will not cut production or jobs as long as consumer spending does not fall. Can you prove the triangles are congruent? A chopstick model of a catapult launches a marshmallow in a classroom. The path of the marshmallow can be modeled by the quadratic y = 0.07x^2 + x + 2.2, where y represents the height of the marshmallow, in feet, and x represents the horizontal distance from the point it is launched, in feet.When the marshmallow hits the ground, what is its horizontal distance from the point where it was launched?16.22 feet1.94 feet7.14 feet2.2 feet According to the speakers perspective in the poem "the latin deli: an ars poetica," what is poetic about the deli? the beauty of the woman who works behind the counter the intellectual conversations that take place inside the deli the emotional attachment to things that are reminders of heritage the complaints about the high cost of imported products helen likes fiber one cereal and eats fiber one almost every morning. when she went to the grocery today, there was no fiber one on the shelf. according to research, how does a customer like helen typically view a product that is out of stock? What were Southerners called who supported the Reconstruction? 2. According to Andrew C. Nahm, what is one aspect of Korean culture that was influenced by the spread of Buddhism? Type your answer here (2 sentence minimum) What products are used to start the light-independent reactions? A hypothetical country has a surplus of $200 million in its budget for the fiscal year just ended. Several proposals have been examined for the use of this money, two of which are emerging as leading candidates for serious consideration. One of the favored projects is to use the entire surplus money for countrywide road repairs. This project is assumed to have an expected life of ten years. The alternative is a proposal to invest the entire $200 million in a long-overdue hazardous waste cleanup.a. Using the net present value (NPV) approach evaluate the two projects using a 5 percent and 10 percent discount rate.b. Would it make any difference which discount rate is used in the final selection between these two projects? Why, or why not?c. If the discount rate is reduced to zero, Project 2 will be automatically chosen. Why? Does this provide a clue as to why discounting is pervasive on projects with long time horizons and whose net benefits or costs come toward the end of the projects lifetime? What would be the implication of this for environmental projects, in general. What are the 8 properties of logarithms? to help magdelene overcome a nearly irresistible craving for coffee, her therapist provides her with a supply of coffee that contains a harmless substance that leads to nausea. this approach to treatment best illustrates: What should the sanitizer level be? What is the overall message of the epistle II from An Essay on Man entitled of the nature and state of man with respect to himself as an individual? A high school has a policy that students' phones must be kept away during class. A principal usedthe school roster to poll a random sample of 50 students, and only 10% said that they ever hadtheir phone out during class. The next day, the principal observed classrooms and noticed thatapproximately 25% of students had their phone out at some point during class.Which of these is the most concerning potential source of bias in the principal's poll?Choose 1 answer: How do you detect infestation? Classify the following as intensive or extensive properties of copper.