Find the value of x that makes each sentence true.
If (5 1/5)^5=25x then x =
If (8 1/3)^2= 4x, then x =

Answer:

Step-by-step explanation:

The satellites Sputnik, Yeltsin, and Plekov are in a great circle, which is a circular path on the surface of a sphere that passes through the center of the sphere. The circumference of this great circle is 24,900 miles, and the satellites orbit at a height of approximately 200 miles above the surface of the sphere.

If Sputnik is 2 miles from Yeltsin, and Yeltsin is 11,500 miles from Plekov, then the total distance from Sputnik to Plekov can be found by adding the distance between Sputnik and Yeltsin to the distance between Yeltsin and Plekov. So, the total distance is 2 miles + 11,500 miles = 11,502 miles.

However, this distance is not the direct distance between Sputnik and Plekov, since they are not on a straight line but on a curved path on the surface of the sphere. To find the actual distance between Sputnik and Plekov, we can use the formula for the great-circle distance between two points on a sphere, which is:

d = acos(sin(lat1) * sin(lat2) + cos(lat1) * cos(lat2) * cos(long2 - long1)) * R

where lat1 and lat2 are the latitudes of the two points, long2 - long1 is the difference in longitudes of the two points, R is the radius of the sphere, and acos is the inverse cosine function.

Using this formula, we can calculate the distance between Sputnik and Plekov to be approximately 26,156 miles.

Answer: it’s C. My dear <3

Step-by-step explanation: hope this helps (btw I’m just being nice so don’t ask)

The solution to the equation "negative x = 9" is "x = -9". There is no invisible number in front of "x" in this equation.

To solve the equation "negative x = 9" algebraically, we want to isolate the variable "x" on one side of the equation.

First, we notice that "negative x" means "-x", so we can rewrite the equation as:

-x = 9

To isolate "x", we need to perform an inverse operation on both sides of the equation. Since "-x" means the opposite of "x", we need to perform the opposite operation, which is to add "x" to both sides:

-x + x = 9 + x

Simplifying the left-hand side by canceling out the "-x" and "+x", we get:

0 = 9 + x

We can further simplify this equation by subtracting 9 from both sides:

0 - 9 = 9 + x - 9

-9 = x

So the solution to the equation "negative x = 9" is "x = -9".

There is no invisible number in front of "x" in this equation, so we don't need to worry about any additional steps or calculations.

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Answer:

Step-by-step explanation:

The cross-price elasticity of demand measures the responsiveness of the quantity demanded of one good to a change in the price of another good. In other words, it shows how the demand for one good changes in response to changes in the price of another good. The cross-price elasticity of demand is a useful concept for understanding the relationship between two goods and can provide valuable information for firms in making pricing and marketing decisions.

The formula for cross-price elasticity of demand is as follows:

Cross-price elasticity of demand = (Percentage change in quantity demanded of good A) / (Percentage change in price of good B)

In this case, we are calculating the cross-price elasticity of demand between almond milk and oat milk. To do this, we first need to calculate the percentage change in quantity demanded of oat milk and the percentage change in price of almond milk.

Percentage change in quantity demanded of oat milk = (30,000 - 20,000) / 20,000 = 0.5

Percentage change in price of almond milk = ($5 - $3) / $3 = 0.67

Next, we use these values to calculate the cross-price elasticity of demand:

Cross-price elasticity of demand = 0.5 / 0.67 = 0.74

A positive cross-price elasticity of demand indicates that the two goods are substitutes. This means that as the price of one good increases, the demand for the other good increases. A cross-price elasticity of demand between 0 and 1 indicates that the two goods are weak substitutes. In this case, a cross-price elasticity of demand of 0.74 suggests that almond milk and oat milk are weak substitutes. This means that if the price of almond milk were to increase, the demand for oat milk would increase to some extent, but not by a significant amount.

In conclusion, the cross-price elasticity of demand provides valuable information for firms in making pricing and marketing decisions. A positive cross-price elasticity of demand indicates that two goods are substitutes, while a cross-price elasticity of demand between 0 and 1 suggests that they are weak substitutes.

Answer:yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

area of pole=75×8=600 square inch

area if sign=12×12+1/2×12×4

=144+24

=168 square inches

total area=600+168

=768 square inches

73 degrees is the equivalent meausure of m<A

From the given line geometry below, the sum of the adjacent angles is 180 degrees as shown:

m∠A + m∠B = 180

Given the following

∠A = 6x - 35

∠B = 3x + 53

Substitute the given parameters

6x - 35 + 3x + 53 = 180

9x + 18 = 180

9x = 180 - 18

9x = 162
x = 162/9

x = 18

Determine the measure of <A

<A = 6x - 35

<A = 6(18) - 35

<A = 108 - 35

<A = 73 degrees

Hence the measure of angle A from the given diagram is 73 degrees

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Answer: Option 1

Step-by-step explanation:

I'd say the easiest way would be to find the prize per oz in both options

Option 1: $1.10/12oz = approx 0.092 (so around 9 pennies)

Option 2: $0.98/10oz = 0.098 (also 9 pennies but still slightly more than option 1)

You can check by choosing a random number of oz and multiplying them by the price to see which costs more

ex: 120 oz

option 1 : 10 x 1.10 = $11

option 2: 12 x 0.98 = $11.76

The length of side AB within quadrilateral ABCD is 14.301 meters.

In this problem we find a geometric system formed by a quadrilateral and two diagonals, whose parameters are listed below:

CD = 20 m

m ∠ BCD = 20°

m ∠ ACB = 40°

m ∠ ADC = 45°

m ∠ ADB = 50°

The missing side can be found by combining law of sine and law of cosine:

Law of sine

20 / sin 65° = BD / sin 20°

BD = 7.548

20 / sin 75° = AD / sin 60°

AD = 17.932

Law of cosine

AB = √(AD² + BD² - 2 · AD · BD · cos ADB)

AB = √(17.932² + 7.548² - 2 · 17.932 · 7.548 · cos 50°)

AB = 14.301

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A measurement which is closest to the volume of the cylinder in cubic cm is 158.87 cubic cm.

Mathematically, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

Next, we would determine the radius of the base of the cylinder:

Circumference of a circle = 2πr

10 = 2πr

Radius, r = 1.59 cm.

Substituting the given parameters into the volume of a cylinder formula, we have the following;

Volume of a cylinder, V = 3.142 × (1.59)² × 20

Volume of a cylinder, V = 158.87 cubic cm.

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On solving the provided question, we can say that Area of Rhombus is 24 cm²

A rhombus is an equal-sided quadrilateral in Euclidean plane geοmetry. The term "equilateral triangle" alsο refers to a quadrilateral whose sides are of the same length. A parallelοgram has a unique variation knοwn as a rhombus. In a rhombus, the οpposite sides and angles are parallel and equal.

A rhombus's diagοnal is split in half by a right angle, and each of its sides is the same length. Rhombic diamοnds and diamonds are other names for rhοmbuses. The length οf every side is the same. Diagοnals are equal in a rhοmbus. At a 90° angle, parallel lines split in half, 180 degrees is the sum of adjacent angles.

By distance formula

BD = [tex]\sqrt{(-2-4)^2 + (-1-5)^2}[/tex]

BD = [tex]\sqrt{36 + 36}[/tex]

BD = 6√2

similarly,

AC = 4√2

and, Area = 1/2 × (product of diagonals)

Area of Rhombus = 1/2 × 6√2 × 4√2 = 24 cm²

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The initial balance of the account was approximately $3541.83.

This can be illustrated by using basic math: if you have $100 and it earns 5% interest each year, you'll have $105 at the end of the first year. You will wind up with $110.25 at the conclusion of the second year.

We can utilise the compound interest formula to find a solution to this issue:

A = P(1 + r/n)ⁿⁿ

In this case, we have P = the initial balance of the account, r = 0.23 (23% expressed as a decimal), n = 4 (since interest is compounded quarterly), t = 3 years, and A = $6258. We can solve for P by rearranging the formula:

P = A / (1 + r/n)ⁿⁿ

Substituting the values we know, we get:

P = 6258 / (1 + 0.23/4)⁴ˣ³

Simplifying this expression gives:

P = 6258 / 1.76757

P ≈ $3541.83

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Answer: $272.60

Step-by-step explanation:

9.75x5.4= 52.65

52.65+15.50=68.15

68.15x4=272.6

The best way to figure out if there is a solution to the equation:

 --> solve this whole thing algebraically

Let's solve:

 [tex]-4x+7x=4(x+2)-(x+8)\\3x=4x+8-x-8\\3x=3x[/tex]

If we get this kind of circumstance:

 --> where the left/right part of the equation are equal and cannot be

      solved further

     ---> the solution is all real numbers

Answer: solution is all real numbers

The graph shows a positive association. There is a nonlinear association shown. There is no correlation shown on the scatter plot.

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Answer: 97%

Step-by-step explanation:

If for the 3 exams, the mean was 83% and the first two were 76%, that means..

76 + 76 = 152 (divided by two = 76%/current mean)

In order to get an average of 83%, Colin has to have a score that is higher than 76% and somewhat closer to above 90%.

By doing trial and error (testing different percents between 76% and 80%),  you can come to the conclusion that, 76% + 76% + 97% = 249 / 3 = 83

The single payment 2 years from now will be of $13,287.26

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Given that money earns 7.74% compounded quarterly, a payment of $2,070 due 2 years ago, but not paid, and $300 today.

To calculate investments or debts with compound interests.

Where:

V(n) is the value of the debt after n years,

R is the annual interest rate,

t is the number of times the debt is going to be compounded annually,

n is the number of years the debt is going to be compounded,

P is the principal amount being owed.

we know that the debt will be cancelled in 2 years from now. Therefore we have that n = 2 for both debts, because after the 2rd year the debts.

Then you have that t = 4, because the debt is compounded quarterly.

We can add up the two principals $2,070 + $300 = $2,370 to make it our value P, so P = 9000.

And finally we have that R = 7.74.

Then, solve the equation for P

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

P = 2,370 / (1 + 7.74/365)(365)^(2)

P = $13,287.26

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Using the proportions of the side lengths of the pair of similar triangles, we have:

1. x = 35

2. x = 20; y = 23.3

3. x = 11

4. x = 9

5. x = 10

Triangles that are similar to each other, will have side lengths that are proportional to each other.

Therefore, using proportions, we would have:

1. x/14 = 40/16

Cross multiply:

16x = 40 * 14

16x = 560

x = 560/16

x = 35

2. x/12 = 15/9

9x = 12 * 15

9x = 180

x = 20

y/14 = 15/9

9y = 210

y = 23.3

3. (x + 5)/24 = 36/54

Cross multiply:

54(x + 5) = 36 * 24

54x + 270 = 864

54x = 864 - 270

54x = 594

x = 11

4. 20/28 = 15/(2x + 3)

Cross multiply:

20(2x + 3) = 28 * 15

40x + 60 = 420

40x = 420 - 60

40x = 360

x = 9

5. 24/28 = x + 8 / 3x - 9

Cross multiply:

24(3x - 9) = 28(x + 8)

72x - 216 = 28x + 224

72x - 28x = 216 + 224

44x = 440

x = 10

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The equation of the polynomial function graphed is given as follows:

y = -0.125(x³ + x² - 14x - 24).

From the graph, the roots of the polynomial are given as follows:

Considering the roots, the linear factors of the polynomial are given as follows:

Applying the Factor Theorem, the function, as a product of it's linear factors, is given as follows:

y = a(x + 3)(x + 2)(x - 4).

y = a(x² + 5x + 6)(x - 4)

y = a(x³ + x² - 14x - 24).

When x = 0, y = 3, hence the leading coefficient a is obtained as follows:

-24a = 3

a = -0.125.

Hence the function is:

y = -0.125(x³ + x² - 14x - 24).

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According to the posed question, the rectangular prism's surface area would be 90 cm2.

What is a Rectangular Prism's Surface Area?

The total surface area of a rectangular prism's rectangular faces is alluded to as the prism's surface area. There are two distinct types of it: lateral surface area and total surface area. In contradiction to the lateral surface area, which only includes the lateral faces and omit the base areas, the total surface area of a rectangular prism refers to the area among all six faces.

Given, W = 3 cm, L = 6 cm, and H = 3 cm

surface area = 2 (WL + LH + HW)

                     = 2 (18 + 18 + 9)

                      = 2× 45 = 90 cm².

Consequently, the rectangular prism's surface area is 90 cm².

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Answer:

284 + 28d

Step-by-step explanation:

Because she has 284 it is known

She plans to obtain 28/day

Therefor, it should be 248+28d

if the ratio of two sample variances exceeds the critical value of f at a defined confidence level, then the level of confidence also exceeds the critical level.

All tests that make use of the F-distribution are collectively referred to as "F Tests." The F-Test to Compare Two Variances is often what is meant when the term "F-Test" is used. However, a number of tests, including regression analysis, the Chow test, and the Scheffe test, use the f-statistic. If we are conducting an F-Test, we might employ a variety of technological tools. since doing an F-test manually while accounting for variations is a difficult and time-consuming operation.

if the ratio of two sample variances exceeds the critical value of f at a defined confidence level, then the level of confidence also exceeds the critical level.

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Answer:

162π - 324 (exact) or 184.938

Step-by-step explanation:

You probably don't even need help on this one anymore, its just the same as the previous one I helped you with.

Diameter = a^2 + b^2 = c^2 = 18^2 + 18^2 = c^2

√648 = c (this is exact) so radius is √648/2

Area of square = lw = 324

Area of circle = (√648/2)^2π = (648/4)π = 162π

Area of shaded region = 162π - 324 (exact) or 184.938

Answer:

Step-by-step explanation: Yes, that is correct. The solution to the system of equations is (x, y) = (-7, 0), which is not in the given options, so none of the options are the correct answer.

The error in the expression 4 + 2x - 1/2(10 - 4x) is the missing parentheses.

Parentheses are a sort of punctuation mark that is used to separate or distinguish content inside a phrase. They frequently assist to clarify the meaning of a statement by adding information. Parentheses can also be used to denote a break or to divide items in a list.

Error in the given question: Missing parentheses

Corrected expression: 4 + 2x - 1/2(10 - 4x)

The problem may be fixed by ensuring that the proper syntax is used when declaring variables. If the variable is a string, for example, it should be stated as "var myVariable ='string value';". If it is an integer, define it like "var myVariable = 42;".

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Answer:

simple interest is $6.8

Miguel pay the amount to Julio at the end of 6​ months was $206.8

Step-by-step explanation:

Given : Miguel Rodriguez borrowed ​$200 from his brother Julio to pay for books and tuition. He agreed to pay Julio in 6 months with simple annual interest at 6.8​%.

To Find : ​a) How much will the interest amount​ to?

​b) What amount must Miguel pay Julio at the end of 6​ months?

Solution :

Formula for simple interest :

Where rate is in decimal

Time is in years

So, rate of interest = 6.8 % = 0.068

Time = 6 months = 6/12=0.5

Principal = $200

Thus= 200x0.068x0.5=6.8

The margin of error for the confidence interval for a population is 0.71 ± 0.1.

The degree of error in survey findings from random sampling is known as the margin of error in statistics. A wider margin of error in statistics denotes a reduced likelihood of relying on a survey's or poll's findings, meaning that there will be less confidence in the results' ability to accurately reflect a community. It is a very important tool for market research since it shows the degree of assurance that should be placed in survey data by the researchers.

The margin of error is given as:

MOE = U - L / 2

MOE = 0.81 - 0.61 / 2

MOE = 0.2 / 2

MOE = 0.1

The interval is:

Interval = P ± 0.1

Interval = (0.61 + 0.1) ± 0.1

Interval = 0.71 ± 0.1

Hence, the margin of error for the confidence interval for a population is 0.71 ± 0.1.

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In the given figure angle CBF and angle CEF are supplementary angles. So Option C is correct.

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Given that,

A figure which contains one trapezium BCEF

And in this portion angle CBF and angle BCE are  opposite angles

and opposite angles are supplementary angles,

Hence, the pairs of angles are ∠CBF & ∠CEF

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