∠A and ∠ � ∠B are complementary angles. If m ∠ � = ( 6 � + 2 ) ∘ m∠A=(6x+2) ∘ and m ∠ � = ( 4 � + 18 ) ∘ m∠B=(4x+18) ∘ , then find the measure of ∠ � ∠A.

Answer:

Terminating fraction

Step-by-step explanation:

For this question, the denominator can fit into the numerator a certain amount of times. In this case, 54/5 is 10.8. Since the decimal ends at a specific point instead of never ending, this is a terminating fraction.

Answer:

It’s line S

Step-by-step explanation:

Don’t ask how Ik, just trust the process...Nd quizzez

The asymptote for the given exponential function shown in the graph is line r. Option b is correct.

An asymptote is a straight line or curve that a graph approaches but never touches. Asymptotes can occur in various types of graphs, including functions, equations, and curves. In a function, an asymptote can occur when the function approaches a certain value as the input variable approaches infinity or negative infinity.

Here,

Asymptotes can be vertical, horizontal, or slanted, and they can occur on either side of the graph. Asymptotes are important in mathematical analysis, as they can help determine the behavior of a function or equation as the input variable increases or decreases without bounds.

So, the asymptote for the given exponential function shown in the graph is line r. Option b is correct.

Learn more about asymptote here:

https://brainly.com/question/4084552

#SPJ3

Answer:

-114

Step-by-step explanation:

f(x) = -4x^2 +5x

Let x = 6

f(6) = -4(6)^2 +5(6)

     = -4(36) +30

     - 144+30

   = -114

Answer:

\(\approx 12.8\)

Step-by-step explanation:

1. Approach

Assume that this problem is asking for the value of the shaded region.

To solve this problem, one must find the area of the entire circle. The measure of the arc around the shaded region is given, this measure can be used to find the fraction of the arc around the shaded region is, out of the entire circle. After doing so, multiply the fraction of the arc, by the area of the circle, to find the area of the shaded region.

2. Area of the circle

The formula to find the area of a circle is the following,

\(A=\pi r^2\)

Where (\(\pi\)) represents the numerical value, (\(3.1415...\)), and (\(r\)) represents the radius of the circle. The radius of a circle is the distance from the center of the circle to the circumference of the circle, or the outside boundary of the circle.

Substitute in the given values and solve for the area,

\(A=\pi r^2\\\\A = \pi (7)^2\\\\A = \pi *49\\\\A\approx 153.938\)

3. Find the fraction that the shaded region takes up

It is given that the arc surrounding the shaded region has a measure of (\(30 \degree\)). The central angles theorem states that if the vertex of an arc is the center on the center of the circle, then the measure of the surrounding arc is equal to the measure of the angle. Since there are (\(360\)) degrees in the full angle, then the fraction of the are is the measure of the arc over (\(360\)). Use this to solve for the fraction that the angle takes up,

\(\frac{30}{360}\)

Simplify,

\(\frac{1}{12}\)

4. Find the area of the shaded region,

Now multiply the fraction that the arc takes up by the total area of the circle,

\(49\pi *\frac{1}{12}\)

Multiply,

\(\frac{49\pi }{12}\)

Convert to decimal form,

\(=12.82817\)

Answer:

The square perimeter is 8 ft long

Step-by-step explanation:

Answer:

Perimeter of the square =4*all length

Step-by-step explanation:

Perimeter =4*2=8

The Perimeter of the mirror =8

Answer:

Step-by-step explanation:

Let

x = first odd number

x + 2 = second odd number

x + 4 = third odd number

Total = 53

53 = x + (x + 2) + (x + 4)

53 = x + x + 2 + x + 4

53 = 3x + 6

53 - 6 = 3x

47 = 3x

x = 47/3

x = 15.7

x + 2 = second odd number

15.7 + 2 = 17.7

Second number = 17.7

The expected value of the sample mean of mpg derived from a random sample of four passengers is 30.5 mpg.

The expected value of the sample mean can be calculated using the formula

E(x) = μ

where x is the sample mean, and μ is the population mean.

In this case, the population mean is given as 30.5 mpg. The standard deviation of the population is also given as 4.1 mpg.

The standard deviation of the sample mean can be calculated using the formula

σx = σ/√n

where σ is the population standard deviation and n is the sample size.

Substituting the given values, we get:

σx = 4.1/√4 = 2.05

So the expected value of the sample mean is

E(x) = μ = 30.5 mpg.

Learn more about expected value here

brainly.com/question/30159646

#SPJ4

Answer:

B. \(4\sqrt{2}\)

Step-by-step explanation:

EG is equal to 4

ED and DG, however, are equal to \(x\sqrt{2}\)

So, we can do \(x\sqrt{2} = 4\)

This comes out to \(x=2\sqrt{2}\)

So, \(x^{2}\) is the area of the square.

\(2\sqrt{2} ^{2}\) is equal to \(4\sqrt{2}\)

Answer:

No

Step-by-step explanation:

The boundaries of the class 1.87-3.43 are D) 1.865-3.435. The lower boundary is 1.865 and the upper boundary is 3.435.

The boundaries of the class 1.87-3.43 can be determined by subtracting and adding half of the smallest possible unit of measurement to the given class limits. In this case, since the given class limits are 1.87 and 3.43, we need to find the boundaries by subtracting and adding half of the smallest possible unit of measurement.

Let's assume the smallest possible unit of measurement is 0.01.

To find the lower boundary:

Lower Boundary = Lower Limit - (0.01/2)

Lower Boundary = 1.87 - 0.005

Lower Boundary = 1.865

To find the upper boundary:

Upper Boundary = Upper Limit + (0.01/2)

Upper Boundary = 3.43 + 0.005

Upper Boundary = 3.435

Therefore, the boundaries of the class 1.87-3.43 are:

D) 1.865-3.435

To learn more about boundaries

https://brainly.com/question/15319797

#SPJ11

Answer:

X= - 10

Y=5

Step-by-step explanation:

First add the equations and x will be eliminated, then solve for y as a normal linear function, and the answer is 5.

Substitute thw y in any function, I substituted in the first one, and solved for x and got negative 10 as an answer.

An equation of the line that passes through the point (-8, 8), and has a slope of 3/4 is 3x - 4y = -56

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁)

Where:

At data point (-8, 8), a linear equation of this line can be calculated in standard form as follows:

y - y₁ = m(x - x₁)

y - 8 = 3/4(x - (-8))

y = 3x/4 + 6 + 8

y = 3x/4 + 14

4y = 3x + 56

3x - 4y = -56

Read more on slope here: brainly.com/question/3493733

#SPJ1

Answer:

45 degrees

Step-by-step explanation:

Since an isosceles triangle has two equal sides, it is given that there are two equal angles. An isosceles right triangle has the same characteristics of an isosceles triangle but has a 90 degree angle.

Since the sum of all the angles in a triangle is 180 degrees, we can subtract the 90 degrees from the right triangle and divide the remainder by 2. This would be 45 degrees.

1.) 180 - 90 = 90

2.) \(\frac{90}{2}\) = 45

Hope this was useful. Cheers.

Answer:

60%

Step-by-step explanation:

yes

The larger the p-value, the more likely it is that the null hypothesis that the population coefficient is equal to 0 is true regarding p-value.

In a linear regression model, p-values are associated with the estimated coefficients and provide information about the statistical significance of each predictor variable. The null hypothesis for each predictor is that the population coefficient for that predictor is equal to 0, meaning that it has no effect on the response variable.

The p-value is the probability of observing the estimated coefficient given the null hypothesis is true. If the p-value is small, it means that the observed coefficient is unlikely to be due to chance, If the p-value is large, it means that the observed coefficient could easily be due to chance and we cannot reject the null hypothesis.

To learn more about p-value click on,

https://brainly.com/question/13407401

#SPJ4

Polynomial equation is an expression of two or more algebraic terms, which are added or subtracted from each other to form an equation. The resulting expression given polynomial function is,

\((6x^2-5)(x^2+2)\)

Hence, option 4 is the correct option.

Polynomial equation is an expression of two or more algebraic terms, which are added or subtracted from each other to form an equation.

The power of the variable is different but has the same variable.Given-the given polynomial equation is,

\(6x^4-5x^2+12x^2-10\)

Rearrange the given equation, we get,

\(6x^4+12x^2-5x^2-10\)

\(6x^2(x^2+2)-5(x^2+2)\)

\((x^2+2)(6x^2-5)\)

\((6x^2-5)(x^2+2)\)

Thus, the resulting expression given polynomial function is,

\((6x^2-5)(x^2+2)\)

Hence, option 4 is the correct option.

For more about the polynomial, follow the link below-

https://brainly.com/question/17822016

Answer:

Lyssa and Carlos are discussing the expected number of broken or defective bulbs that can be found in a given number of packages of light bulbs. Lyssa believes that if they look at 100100100 packages, they will find a total of about 250250250 broken or defective bulbs. Carlos believes that any given package most likely contains 0.250.250, point, 25 broken or defective bulbs.It is not clear from the information provided whether either of these statements is accurate. To determine the expected number of broken or defective bulbs in a given number of packages, it would be necessary to know the actual number of packages being considered, as well as the actual number of broken or defective bulbs found in those packages. Without this information, it is not possible to verify whether Lyssa's or Carlos's statements are accurate. So, we cannot accurately determine the expected number of broken or defective bulbs in a given number of packages.

Step-by-step explanation:

Answer:

50000

Step-by-step explanation:

We know it increase 27% since it was last measured

100% + 27% = 127%

We have to find 1%

We take 63500 divided by 127 = 500

500 times 27 = 13500

Now we have to take 63500 and subtract by 13500 to find the previous population.

63500 - 13500 = 50000

So, the previous population is 50000

The amount of money in the account at the end of 25 years will be:

$38,419.83 if interest is compounded semiannually

$39,020.28 if interest is compounded quarterly

$39,214.44 if interest is compounded daily

$39,243.86 if interest is compounded continuously

We have,

We can use the formula for compound interest.

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

where:

A is the amount of money in the account after t years

P is the initial principal amount (the amount invested)

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the number of years

Now,

P = $16,000

r = 4% = 0.04

To find the amount of money in the account with different compounding periods, we need to plug in different values for n.

If interest is compounded semiannually, we have n = 2 and t = 25:

So,

A = 16000(1 + 0.04/2)^(2 x 25)

A = $38,419.83

If interest is compounded quarterly, we have n = 4 and t = 25:

A = 16000(1 + 0.04/4)^(4 x 25)

A = $39,020.28

If interest is compounded daily, we have n = 365 (assuming 365 days in a year) and t = 25:

A = 16000(1 + 0.04/365)^(365 x 25)

A = $39,214.44

If interest is compounded continuously, we have n = infinity and t = 25:

A = 16000e^(0.04 x 25)

A = $39,243.86

Therefore,

The amount of money in the account at the end of 25 years will be:

$38,419.83 if interest is compounded semiannually

$39,020.28 if interest is compounded quarterly

$39,214.44 if interest is compounded daily

$39,243.86 if interest is compounded continuously

Learn more about compound interest here:

https://brainly.com/question/13155407

#SPJ1

Answer: 130\(\pi\)

Step-by-step explanation:

SA=2\(\pi\)rh+2\(\pi\)r²

Substitute Values:

SA=2\(\pi\)5×8+2\(\pi\)5²

Solve by removing \(\pi\):

2×5×8+2×5² = 130

Plug \(\pi\) back in to get:

130\(\pi\)

It is formatted a bit weird.

u = the radius (im pretty sure)

area of a circle = pi(u)^2

circumference of a circle is 2pi(u)

22/7 = pi

Area = (22/7)(u)^2

Circumference = 2(22/7)u

Answer:

A. 3:30.

Step-by-step explanation:

180 is 90+90 so that would put it in 3:30.

With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.

To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.

To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).

We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.

In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).

Learn more about multiplying here:

https://brainly.com/question/30875464

#SPJ11

Answer:

R U A girl?

Step-by-step explanation:

The lower and upper values of the confidence interval of the population mean for the minutes spent getting to work is (31.74,38.4)

What is Standard Deviation?

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the departure of each data point from the mean, the standard deviation may be determined as the square root of variance. The bigger the deviation within the data collection, the more the data points deviate from the mean; Hence, the higher the standard deviation, the more dispersed the data.

We know that:

\(\text { Standard Deviation }=\sqrt{\frac{\sum\left(x_i-\bar{x}\right)^2}{n-1}}\)

where \(x_{i}\)  is the mean and n is the number of observations.

\(\text { Standard Deviation }=\sqrt{\frac{\sum\left(x_i-\bar{x}\right)^2}{n-1}}\)

98% Confidence interval:  

\(\bar{x} \pm t_{\text {critical }} \frac{s}{\sqrt{n}}\)

Putting the values, we get,  

\(t_{\text {critical }} \alpha_{0.02}\\=\pm 2.14535.07 \pm 2.145\left(\frac{6.02}{\sqrt{15}}\right)\\=35.07 \pm 3.33\\=(31.74,38.4)\)

Hence, The lower and upper values of the confidence interval of the population mean for the minutes spent getting to work is (31.74,38.4)

To learn more about standard deviation, visit:

https://brainly.com/question/475676

#SPJ4

The sampling technique used in this scenario is stratified random sampling.

In stratified random sampling, the population is divided into distinct groups or strata, and then a random sample is selected from each stratum. The purpose of this technique is to ensure that each stratum is represented proportionally in the sample, allowing for more accurate estimates for each subgroup.

In this case, the population consists of sophomores, juniors, and seniors at the high school. The sample is selected by randomly choosing 35 sophomores, 29 juniors, and 39 seniors. By selecting a specific number of individuals from each grade level, the sample represents the stratification of the population, making it a stratified random sampling technique.

Learn more about sampling here: https://brainly.com/question/11045407

#SPJ11

The page where the number 110 appears will be 37.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

An arithmetic sequence 2, 5, 8, 11, 14,... is written in the order in a book. Then the first term is 2 and the common difference is 3. Then the number of terms if the nth term is 110. Then we have

110 = 2 + (n - 1) x 3

108 = (n - 1) x 3

n - 1 = 36

n = 37

The page where the number 110 appears will be 37.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ1

Answer:

A.

Step-by-step explanation:

SAS:

If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.

ASA:

If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent.

SSS:

if we can determine that the three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

You can also apply the ASA postulate in this triangle but not the SAS.

The zeroes of polynomial are 43/5 and -3/4.

We have,

4 (3x-2)² -3 (3x-2) (x+5) - 7(x+5)²

simplifying the above expression we get

4 (9x² + 4 -12x ) -3 (3x² + 15x - 2x - 10) - 7(x² + 25 + 10x)

= 36x² - 48x + 16 - 9x² -39x + 30 - 7x² - 175 - 70x

= 20x² -157x -129

Now, solving the quadratic equation we get

x = 43/5 and x= -3/4

Learn more about zeroes of polynomial here:

https://brainly.com/question/29775881

#SPJ1

Answer:

$338,263

Step-by-step explanation:

first year stays the same, then multiply the years salary x 1.02 for the following years

year 1 = $65000

year 2 = 66300

year 3 = 67626

year 4 = 68978.52

year 5 = 70358.09

total for 5 years = $338262.61

rounded to 338,263.