WILL MARK BRAINLIEST

Answer:

assuming you want to get rid of the radical here so, 25/2

Step-by-step explanation:

raise the whole fraction to the second power, and the radical will cancel out, then solve 5^2 which is 25. end up with 25 over 2

The standard form of this expression is equal to 10 + 20i.

Complex numbers are those numbers that contain the imaginary and the real part.

Complex value z is written in a rectangular form as; z = x+iy where (x, y) is the rectangular coordinates.

r is the modulus of the complex number and θ is the argument

r =√x²+y² and θ = tan⁻¹y/x

We are given that the expression as (1+7i)(3-i)

Solving it;

(1+7i)(3-i)

3 - i + 21i - 7i^2

3 - i + 21i + 7

10 + 20i

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The point where the two lines intersect is the solution to the system of linear equations, which is: A. (300, 108).

Given that:

y = total cost

x = miles

We are also given the system of linear equations that models the scenario given as:

y = 0.27x + 27 --> equation 1

y = 0.21x + 45 --> equation 2

To find the value of x, make both equations equal to each other and solve:

0.27x + 27 = 0.21x + 45

Combine like terms

0.27x - 0.21x = -27 + 45

0.06x = 18

Divide both sides by 0.06

0.06x/0.06 = 18/0.06

x = 300

To find the value of y, plug in the value of x into equation 1, and find y:

y = 0.27(300) + 27

y = 81 + 27

y = 108

Thus, the point where the two lines intersect is the solution to the system of linear equations, which is: A. (300, 108).

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Answer: b= 20

Step-by-step explanation:

y= 5x + 20

Answer:

\(x \leq -4\)

There will be a filled-in hole at -4.

Step-by-step explanation:

We can solve an inequality the same way we do for equations. The only thing to keep in mind, is that multiplying by a negative number will result in flipping the inequality sign (< to > and vice versa)

\(-7x + 13 \geq 41 \text{ //}-13\\-7x \geq 28 \text{ //}:-7 \text{ (Notice we multiply by a negative number.)}\\x \leq -4\)

The difference between a filled-in and an empty hole in terms of inequality graphs, is whether or not the number limiting the inequality is included in it.

For example, in x > 3, 3 is limiting the inequality, however, it is not included in it, therefore, x would always be greater than 3.

In another example, \(x \leq -4\), -4 is limiting inequality and is included in it. Therefore, x would always be less than or equal to -4.

A filled-in hole means the number is included in the inequality, while an empty one means it isn't.

In our cases, -4 is included in the inequality (notice the line under the inequality sign that resembles "less than or equal to"), therefore there will be a filled-in hole at -4.

The measurement of each of the squares will guarantee Mrs. O'Dell has 8 different squares and they are all the same size are 75 centimeters by 100 centimeters.

To begin, let's identify the best way to divide the total area. For this, there are 2 options:

Let's use the first pattern:

Based on this, the dimensions for each section should be 75 centimeters by 100 centimeters.

Note: This question is incomplete; here is the missing section:

Dimensions of the garden: 3 meters x 2 meters

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a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.

a) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.

In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.

Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.

b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.

For Scooter, with x = 20 (number of shirts sold):

f(x) = 200 + 15x

f(20) = 200 + 15 * 20

f(20) = 200 + 300

f(20) = 500

For Karissa, with x = 12 (number of repairs):

f(x) = 80 + 35x

f(12) = 80 + 35 * 12

f(12) = 80 + 420

f(12) = 500

Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.

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9514 1404 393

Answer:

  (c)  1/(36·a^4·b^10)

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

  a^-1 = 1/a

__

  \(\left(\dfrac{(2a^{-3}b^4)^2}{(3a^5b)^{-2}}\right)^{-1}=\dfrac{(3a^5b)^{-2}}{(2a^{-3}b^4)^2}=\dfrac{3^{-2}a^{-10}b^{-2}}{2^2a^{-6}b^8}=\dfrac{1}{3^22^2}a^{-10-(-6)}b^{-2-8}\\\\=\boxed{\dfrac{1}{36a^4b^{10}}}\)

Answer: −1/8

Step-by-step explanation: maybe

Answer:

D

Step-by-step explanation:

Answer:

E.

Step-by-step explanation:

Area=7*10=70

Perimeter=7+7+10+10=34

Answer:

456

Step-by-step explanation:

Product means an answer derived from multiplication.  Therefore, if the product is 155952, and one value is 342, then the following equation is true:

342x = 155952, or 342 * x = 155952

Divide 155952 by 342 to get: 456.

Check the work in the equation:

342(456) = 155952

155952 = 155952, which is true, so the answer is 456.

If I helped, please make this answer brainliest! ;)

Area of a box:

base * height = area

1 in * 1 in = 1 in^2

Area of a triangle:

(1/2) * base * height  = area

(1/2) * 3 * 3 = 4.5 in^2

4.5 in^2 + 1 in^2 = 5.5 in^2.

So the overall area is 5.5 in^2.

Answer:

d. x-700=35

Step-by-step explanation:

The statement says that the variations will stay within a range of +5%, so the resistance can be increased by 5% of 700 ohms. To find the highest resistance that can be achieved, you can use the formula:

x = 700 + (700 * 5%) = 700 + 35 = 735 ohms

To find the lowest resistance that can be achieved, you can subtract the same percentage (5%) of 700 ohms:

x = 700 - (700 * 5%) = 700 - 35 = 665 ohms

So the lowest and highest resistance that can be achieved are 665 ohms and 735 ohms respectively.

Answer:

No Questions are shown here

Step-by-step explanation:

Just says "For exercises, 7-9 write expressions for the area of each rectangle in two different ways. Then find the area using each expression."

As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

For a normally distributed data set with a mean of 0 and a standard deviation of 0.5, the proportion of values between -1 and 1 is most closely related to 68%.

Approximately 68% of the data in a normal distribution lies within one standard deviation of the mean, which explains why. One standard deviation below the mean is -0.5, and one standard deviation above the mean is 0.5 since the mean is 0 and the standard deviation is 0.5. As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

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Answer:

86.65% probability that the mean monitor life would be greater than 74.4 months in a sample of 85 monitors

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

Population: \(\mu = 75, \sigma = 5\)

Sample of 85: \(n = 85, s = \frac{5}{\sqrt{85}} = 0.5423\)

If the claim is true, what is the probability that the mean monitor life would be greater than 74.4 months in a sample of 85 monitors

This is 1 subtracted by the pvalue of Z when X = 74.4. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{74.4 - 75}{0.5423}\)

\(Z = -1.11\)

\(Z = -1.11\) has a pvalue of 0.1335

1 - 0.1335 = 0.8665

86.65% probability that the mean monitor life would be greater than 74.4 months in a sample of 85 monitors

Using distributive property, the solution to the given expression is: 50v - 40w + 20

The Distributive Property is a term which is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.

For example:

4(3 + 5)

According to the distributive property, you first have to multiply out the bracket to get:

4*3 + 4*5 = 12 + 20

= 32

Thus:

5(10v - 8w + 4) = (5 * 10v) - (5 * 8w) + (5 * 4)

= 50v - 40w + 20

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The percentage error of the reading is 5.78%

Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.

Percent errors indicate how big our errors are when we measure something in an analysis process. Smaller percent errors indicate that we are close to the accepted or original value.

The formula is given as

Percentage error = [(Estimated value - Actual value) / Actual Value] * 100

Percentage error = [(100.5 - 95) / 95] * 100

Percentage error = 0.0578 * 100

percentage error = 5.78%

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Cindy measured and recorded the temperature of a liquid for an experiment. She used a poorly calibrated thermometer and noted the temperature as 100.5 degrees Fahrenheit. The actual temperature of the liquid was 95 degrees Fahrenheit. What was her percent error?

Answer:

it's being multiplied by 5 each number, if the pattern continues it would equal 0. But a zero exponent is 1 so it would be 5 as well because 5 x 1 is 5.

Step-by-step explanation

The pattern that can be noticed here is that each time the power of 5 is decreased by 1, the value of the resulting expression is divided by 5.

A number system is defined as a system of writing to express numbers.

The pattern that can be noticed here is that each time the power of 5 is decreased by 1, the value of the resulting expression is divided by 5.

As 5³ = 125, and then reduce the power of 5 by 1 to get 5², we can find the value by dividing 125 by 5, which gives us 25.

Similarly, to find the value of 5¹, we divide 25 by 5 to get 5.

If a is a positive number and n is a positive integer, then

aⁿ = (aⁿ⁻¹) x a

So, we can say that to find a power of a number when we know the value of a power that is either greater than or lesser than it by 1, we can multiply or divide the known value by a.

Hence, pattern that can be noticed here is that each time the power of 5 is decreased by 1, the value of the resulting expression is divided by 5.

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Answer:

(1.5, -2)

Step-by-step explanation:

The midpoint of a line segment is given by the formula:

\(\boxed{\text{Midpoint}=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} ) }\)

In the midpoint formula, \((x_1,y_1)\) and \((x_2,y_2)\) are the 2 coordinates of the endpoints.

Given that the endpoints are (6, -2) and (-3, -2),

midpoint

\(=(\frac{6-3}{2} ,\frac{-2-2}{2} )\)

\(=(\frac{3}{2},\frac{-4}{2} )\)

= (1.5, -2)

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Answer:  A  129

Step-by-step explanation:

Because the 2 chords are the same (lines in the circle), the 2 arcs are the same  create an equation that makes them equal

3x+24 = 4x -11             >bring x to one side by subtracting both sides by 3x

24 = x -11                     > add both sides by 11

35 = x

Now that we have solved for x you need to plug that back into the equation for BC

BC= 4x-11

BC = 4(35) - 11

BC =  140 - 11

BC = 129                   >A

i got nothin

like what?

Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.

The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).

According to the problem, the total interest earned after one year is $519. So we can set up the equation:

0.11x + 0.07(6500 - x) = 519

Simplifying the equation:

0.11x + 455 - 0.07x = 519

0.04x + 455 = 519

0.04x = 64

x = 64 / 0.04

x = 1600

Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

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Answer:

A) you do 2 times x and 2 times 3

2x + 6

B) you do 5 times 2x and 5 times 4

10x - 20

C) you do 4 times 2x and 4 times 1

8x + 4

D) you do 6 times x and 6 times 4y

6x - 24y

We are 99 % confident that the true population mean number of computers in a household is between 1.234 and 1.406 %. Round to three decimal places.

A statistical tool called a confidence interval is used to show the range of estimates that an unknown statistical parameter is likely to fall into. If the parameter is the population mean, the confidence interval provides an approximation of the range of potential values.

sample mean 'x =   1.3200

sample size n =   150

std deviation σ =   0.4100

std error ='σx=σ/√n=0.41/√150       = 0.033

We have,

confidence interval of 99%,

CI = x ± Z×s√n

where,

x =   1.3200

n =   150

σ =   0.4100

=1.32 ± 2.5758×0.41√150

=1.32 ± 0.0862

Therefore, population mean number of computers in a household is between 1.234 and 1.406 %

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The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Answer:

the answer is 138

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\large\textsf{4(x + 3) - 10 = 6(x -2)}\\\large\textsf{4(x) + 4(3) - 10 = 6(x) + 6(-2)}\\\large\textsf{4x + 12 - 10 = 6x - 12}\\\large\textsf{4x + 2 = 6x - 12}\\\large\text{SUBTRACT 6x to BOTH SIDES}\\\large\textsf{4x + 2 - 6x = 6x - 12 - 6x}\\\large\text{SIMPLIFY IT!}\\\large\text{NEW EQUATION: \textsf{-2x + 2 = -12}}\\\large\text{SUBTRACT 2 to BOTH SIDES}\\\large\textsf{-2x + 2 - 2 = 6x - 12 - 6x}\\\large\text{SIMPLIFY IT!}\\\large\textsf{-2x = -14}\\\large\text{DIVIDE -2 to BOTH SIDES}\)

\(\mathsf{\dfrac{-2x}{-2}= \dfrac{-14}{-2}}\\\large\text{CANCEL out: }\rm{\dfrac{-2}{-2}}\large\text{ because it gives you 1}\\\large\text{KEEP: }\rm{\dfrac{-14}{-2}}\large\text{ because it helps solve for the x-value}\\\large\text{NEW EQUATION: }\mathsf{x = \dfrac{-14}{-2}}\\\large\text{SIMPLIFY IT!}\\\large\textsf{x = 7}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\textsf{x = 7}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

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Answer:

4 1/10 when u have a inproper fraction like that every 10 is one whole number