What is 7.5 x2.7= show the work

Answer:

2π(x+y+z)

is the factorization

Answer:

4.7x10 equals 47, the decimal moves to the right one time

The  equation of line is y= 5/2x - 8.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Line passes through (4, 2)

slope= 5/2

So, equation of line

y - 2 = 5/2 ( x-4 )

y- 2 = 5/2x - 5/2(4)

y- 2 = 5/2x - 10

y= 5/2x - 10 + 2

y= 5/2x - 8

Hence, the equation of line is y= 5/2x - 8.

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Answer

\(\large\pmb{\rm{x > 4}}\)

Further explanation

This is a two-step inequality. So we can do two steps and get our answer.

You solve an inequality just like you'd solve an equation, only instead of the equal sign you have "less than", "greater than", "less than or equal to" and "greater than or equal to" symbols.

Now, let's solve.

6x - 23 > 1

On each side, add 23.

6x > 1 + 23

6x > 24

Divide each side by 6.

x > 4

In conclusion, the solution to the inequality is x > 4.

1.243 is the measure of the value of x from the given expression

Rational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.

Given the following rational equation

√11 x = √17

We need to determine the measure of the value of x.

Taking the square of both sides we will have:

(√11 x)² = (√17)²

11x² = 17

x² = 17/11

x² = 1.545

Take the square root of both sides

√x² = √1.545
x = 1.243

Hence the measure of the value of x from the given equation is 1.243.

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Answer:

(2,2)

Step-by-step explanation:

The slope is -2 so going from the point (1,4), the point would be (2,2)

In order to construct a Venn diagram for a survey, first enter the cardinality of the universal set to obtain subsequent cardinalities.

The universal set is the set of all possible outcomes, and the cardinality of a set is the number of elements in the set. Once you have the cardinality of the universal set, you can use it to calculate the cardinality of any other set in the survey.

For example, if the universal set has a cardinality of 100, and the survey asks people whether they like dogs or cats, you can calculate the number of people who like dogs by subtracting the number of people who like cats from the total number of people surveyed.

In order to construct a Venn diagram, you will need to draw two or more circles, each representing a set in the survey. The circles should be overlapping to represent the sets that have members in common.

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In order to construct a Venn diagram for a survey, first enter the cardinality of the to obtain subsequent cardinalities region. Then use

Hello !

you made a typo with the c^-2 because otherwise it does not make a round result

\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)

SOLUTION

The general form for the equation of a circle is given as

where the center of the circle is (a,b) and the radius r

Given a center (10,4) and r=4

The equation of the circle becomes

Then the equation becomes

TherefThe right option is A

Answer:

b

Step-by-step explanation:

this is the answer

Answer:

D move 6 units to the left and land on -9

Step-by-step explanation:

The dolphin dove down meaning that it went 6 feet below sea level. that would mean -6. If you move 6 spaces to the left, you would land on -9. Hope this helps

Answer:

D. on the number line, move 6 units to the left. End at -9, the Dolphin was 9 feet below sea level

Answer:

Step-by-step explanation:

We want to model the growth of a population of bacteria using an exponential function. We find it convenient to use an "exact" exponential function that relies directly on the numbers given in the problem statement. That function has the form ...

  p(t) = (initial population) × (growth factor)^(t/(growth period))

where the "growth factor" is the multiplying factor of the population in period "growth period."

__

Here, the "growth factor" is 4800/4000 = 1.2, and the corresponding "growth period" is 5 hours. Then the population function can be ...

  p(t) = 4000×1.2^(t/5)

__

The population after 15 hours is ...

  p(15) = 4000×1.2^(15/3) = 4000×1.728

  p(15) = 6912

__

To change this to the form ae^(kt), we find the value of k to be ...

  k = ln(1.2^(1/5)) = ln(1.2)/5 ≈ 0.036463

Then the desired form of the function for p is ...

  p(t) = 4000·e^(0.036463t)

_____

Additional comment

In the form p=ae^(kt) the value of k is often rounded to 3 or 4 decimal places. We believe that best accuracy is obtained if k has at least the number of significant digits expected in the answer. Here, the population of almost 7000 has 4 significant digits, so we choose to express k to 5 significant figures. That still gives a small error relative to the first formula that is only "corrected" by rounding the result to an integer.

Answer:

see explanation

Step-by-step explanation:

I assume you need to find the 10% and also the amount per year maybe?

so, you will pay 21,900 dollars upfront

219000-21900=197100

219000*1/10=21900, which is ten percent.

197100=30x, x being money paid per year in this case

divide both sides by 30

6570=x

You will pay 6,570 each year for this house. You can continue to divide to find monthly payments. or quarterly payments. Divide by 12 to find monthly payment and  divide by 4 to find quarterly

Answer:

321.50 dollars.

Step-by-step explanation:

Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.

This is a tricky math problem that requires some conversions and calculations. First, we need to convert feet to meters, because Dena lives in a country that uses the metric system. According to the search results   , one foot is equal to 0.3048 meters. So, 120 feet is equal to 120 x 0.3048 = 36.576 meters.

Next, we need to multiply the length of the wallpaper by the price per meter to get the total cost. The total cost is 36.576 x 8.79 = $321.38.

Finally, we need to round the total cost to the nearest half dollar. This means we need to look at the cents part of the cost and see if it is closer to 0, 50 or 100. In this case, 38 cents is closer to 50 than to 0 or 100, so we round up the cost to $321.50.

Therefore, Dena will have to pay $321.50 for the wallpaper. That's a lot of money for some paper that will probably peel off in a few years! Maybe she should consider painting her walls instead.

Part A)

The average rate of change of the sales S(t) between two times t₁ and t₂ is given by:

Between the years 2012 and 2015, the average rate of change is:

Notice that S(2015) = 107.1 and S(2012)=61.09. Then, the average rate of change in net sales per year, is:

The numerator is measured in billions of dollars and the denominator is measured in years. Then, the units of measure are billions of dollars per year.

Part B)

Assuming that the trend continues, the average rate of change must be the same for S(2018).

Replace S(2018) and S(2015) as well as 2018 and 2015 into the formula, set it equal to 15.30666... and solve for S(2018) to find the estimated net sales for 2018:

Therefore, the answers are:

a) The average rate of change in net sales from 2012 to 2015 is 15.30666... billions of dollars per year.

b) The estimated net sales for the year 2018 if this trend continues is 152.93 billions of dollars.

Answer:

x = 2

y = 1

Step-by-step explanation:

-2x-3y=-7, y=6x-11

-2x - 3(6x - 11) = -7

-2x - 18x + 33 = -7

-2x - 18x = -40

-20x = -40

x = 2

y = 6(2) - 11

y = 12 - 11

y = 1

Answer:

x = 2, y = 1

Step-by-step explanation:

We have a system of equations:

-2x - 3y = -7

y = 6x - 11

Substitute the given value of y into the equation -2x - 3y = -7

-2x - 3 * (6x - 11) = -7

-20x = -7 - 33

-20x = - 40

x = 2

Substitute the given value of x into the equation y = 6x - 11

y = 6x - 11

y = 6 * 2 - 11

y = 1

Answer:

1

Step-by-step explanation:

Hi!

First we need to translate 2 units down. That means we need to subtract 2 from the y value. So now we have (-1,1).

For a 270 degree counterclockwise rotation the rule is to go from (x,y) to (y,-x)

So now we have (1,1). Since they're only asking for the x value, the answer is 1.

Answer:

[1, 1]

Step-by-step explanation:

Translation → [-1, 3] moves down to [-1, 1]

Now, a 90°-clockwise rotation is the exact same as a 270°-counterclockwise rotation, and according to the 270°-counterclockwise rotation [90°-clockwise rotation] rule, you take the y-coordinate, bring it over to your new x-coordinate, and take the OPPOSITE of the x-coordinate and set it as your new y-coordinate:

Extended Rotation Rules

270°-clockwise rotation [90°-counterclockwise rotation] >> (x, y) → (-y, x)

270°-counterclockwise rotation [90°-clockwise rotation] >> (x, y) → (y, -x)

180°-rotation >> (x, y) → (-x, -y)

Then, you perform your rotation:

270°-counterclockwise rotation [90°-clockwise rotation] → [-1, 1] moves to [1, 1]

( not my answer cr BasketballEinstein on brainly, i just saw that the same question like this one was already answered FULLY somewhere else )

To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.

To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.

We know that there are 51 coins in total, so we can write the equation: d + q = 51.

We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

Rearrange the first equation to solve for d: d = 51 - q.

Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.

Simplify and solve for q: 510 - 10q + 25q = 1020.

Combine like terms: 15q = 510.

Divide both sides by 15: q = 34.

Now substitute this value back into the first equation to solve for d: d + 34 = 51.

Subtract 34 from both sides: d = 17.

Therefore, you have 17 dimes and 34 quarters.

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a. Expenses: Books and supplies, Housing and food, Tuition and fees, Transportation and Personal expenses. Funding: Savings,

Scholarships, Grants and Student loans.

b. Total estimated expenses are $29,400

(a) Below is an estimate of all her expenses and sources of funding for her 2-year college education.

Expense:

Books and supplies: $1700

Housing and food: $14,020

Tuition and fees: $11,660

Transportation: $2040

Personal expenses: $2980

Funding:

Savings: $7800

Scholarships: $10,240

Grants: $11,600

Student loans: $6200

(b) What is the total of her estimated expenses?

To find the total estimated expenses, we need to add up all the expenses mentioned:

$1700 + $14,020 + $11,660 + $2040 + $2980 = $29,400

Therefore, the total estimated expenses for Nicole's 2-year college education is $29,400.

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first 5 positive integers :

\(1 \: , \: 2 \: , \: 3 \: , \: 4 \: , \: 5\)

mean :

\(1+2+3+4+5+5\)

\(mean = \: 15÷5 \)

\(mean = \: 3\)

Mean = 3

To find- Mean of first five integers

Answer-

\(Mean = \frac{sum \: of \: observations}{number \: of \: observations}\)

\( = >mean = \frac{1 + 2 + 3 + 4 + 5}{5} \)

\( = > mean = \frac{15}{5} \)

\( = > mean = 3\)

~ Benjemin360

Answer:

The total number of ways to choose 2 students from a class of 16 is given by the combination formula:

C(16,2) = 16! / (2! * (16-2)!) = (1615) / (21) = 120

This means there are 120 possible pairs of students that could be drawn.

The probability of you and your best friend being chosen is the number of ways that you and your friend can be selected divided by the total number of possible pairs. There is only 1 way to select you and your best friend out of the class of 16, so the probability is:

P(you and your best friend are chosen) = 1/120

Therefore, the probability that you and your best friend will be chosen is 1/120. Option (B) is the correct answer.

Answer:

The probability of choosing one specific student out of 16 is 1/16. After one student is chosen, there are 15 students left, so the probability of choosing the second specific student out of the remaining 15 is 1/15. The probability of both events happening is the product of the probabilities: (1/16) x (1/15) = 1/240. However, there are two ways that the students can be chosen (your friend first, then you or you first, then your friend), so we need to multiply the probability by 2: 2 x (1/240) = 1/120. Therefore, the probability of you and your best friend being chosen is 1/120. Answer: 1/120.

To find the radius of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the volume is 824 cubic inches, we can rearrange the formula to solve for the radius:

824 = πr²h

Since the height is not given, we cannot find the exact radius. However, we can still determine the relationship between the height and radius if the volume remains the same.

b. If the height of the cylinder is changed, but the volume stays the same, the radius will change inversely proportional to the height. This means that as the height increases, the radius will decrease, and vice versa. This relationship ensures that the volume remains constant.

Therefore, we cannot determine the exact radius without knowing the height, but we can conclude that the radius and height have an inverse relationship.

So based on the problem:

2*mech= elec

3*mech= chem

And the sum of all is 1200

The answer is the first option

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

it wouldn't change if it was to be rotated

ANSWER

EXPLANATION

We want to identify the ordered pair (point) where the function crosses the y-axis.

The graph of the function crosses the y-axis at the point where the graph intersects the y-axis. Since we are writing it as an ordered pair, it will be written in the form (x, y).

Therefore, the point where the function, f, crosses the y-axis is:

That is the answer.

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Expansion is the multiplying of each term in the bracket by the expression outside the bracket.  Expansion is also when we multiply to remove the ( ).

How to determine this

Given,

11. \((x-8)^{2}\)

By expanding it

= (x-8)(x-8)

Open bracket

= \(x^{2} - 8x -8x + 64\)

= \(x^{2} - 16x+64\)

Therefore,  \((x-8)^{2}\) matches with D. \(x^{2} - 16x+64\)

12. (x+6)(x-6)

By expansion

Open bracket

= \(x^{2} -6x+6x-36\)

= \(x^{2} - 36\)

So, (x+6)(x-6) matches with E. \(x^{2} - 36\)

13. (2x-5)(2x+5)

By expanding it

Open bracket

= \(4x^{2} +10x -10x-25\)

= \(4x^{2} - 25\)

So, (2x-5)(2x+5) matches with H. \(4x^{2} - 25\)

14.\((3x+1)^{2}\)

Expanding this,

= (3x+1)(3x+1)

Open bracket

= \(9x^{2} + 3x +3x+1\)

= \(9x^{2} +6x+1\)

Therefore, \((3x+1)^{2}\) matches with A. \(9x^{2} +6x+1\)

15.\((x+4)^{2}\)

By expanding it

= (x+4)(x+4)

Open bracket

= \(x^{2} + 4x+4x+16\)

= \(x^{2} +8x+16\)

Therefore, \((x+4)^{2}\) matches with F. \(x^{2} +8x+16\)

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The principal amount that Jenna put in the bank is $625.

Borrowers must pay lenders simple interest as a fee in exchange for a loan. Compound interest is excluded from the calculation and just the original principal is used. Simple interest applies to all loans, not just specific ones. Additionally, it refers to the kind of interest that banks give their customers on their savings accounts.

Given interest earned = $125

time = 4 years

rate = 5%

let the principal be p

this is the case of simple interest,

SI = (p*r*t)/100

substitute the values

125 (p* 5 * 4)/100

125 x 100 = p x 20

p = 12500/20

p = $625

Hence principal amount is $625.

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