write an Equation for the angle relationship shown in the figure and solve for x. Find the measures of RQS and TQU?

Answer:

c.  g(x) = h(x)

Step-by-step explanation:

Given functions:

[tex]f(x) = 3^x+11[/tex]

[tex]g(x)=2^{3x+5}[/tex]

[tex]h(x)=32(8^x)[/tex]

Rewrite function g(x) using exponent rules.

[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:[/tex]

[tex]\implies g(x)=2^{3x} \cdot 2^5[/tex]

[tex]\implies g(x)=2^{3x} \cdot 32[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]

[tex]\implies g(x)=(2^3)^{x} \cdot 32[/tex]

[tex]\implies g(x)=8^{x} \cdot 32[/tex]

[tex]\implies g(x)=32(8^{x})[/tex]

Therefore, g(x) = h(x).

Answer:

2 : 18

Step-by-step explanation:

to find equivalent ratios , multiply or divide each part of the ratio by the same numeric value.

1 : 9 ( multiply both parts by 2 )

= 2 : 18

or

1 : 9 ( multiply both parts by 3 )

= 3 : 27

and so on...

Answer:

15/14 or 1 1/14

Step-by-step explanation:

multiple the numerators and deno

3x5=15

7x2=14

15/14 or 1 1/14

Answer:

Step-by-step explanation:

Exact form

15/14

Decimal Form:

1.07142857........

mixed number is

1, 1/14

The required compatible number of the given two number are 500 and 200 and sum is 700.

In math, compatible numbers are the numbers that are not difficult to add, deduct, duplicate, or gap intellectually. compatible number  are close in worth to the real numbers that make assessing the response and figuring issues more straightforward. We can adjust the numbers to the closest ten, hundred, thousand or 10,000 to make them viable numbers. For example, in the event that we need to add 493 and 549, we can make the numbers viable by gathering them together to the closest tens or hundreds. 490 and 550 (adjusted to the closest tens) or 500 and 500 (adjusted to the closest hundreds) are a lot simpler to settle.

So, the compatible number of 455 is 500 and that of 225 is 200.

Then,

Compatible sum = 500 + 200 = 700.

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6 shapes can be drawn by the given code.

Shapes in mathematics specify an object's boundaries or contour. Depending on their characteristics, the forms can be divided into many types. The shapes are typically enclosed by an outline or boundary that is composed of points, lines, curves, etc. Geometric figures and figures composed of fixed lines or curves are other names for forms. There are two types of shapes: closed shapes and open shapes. Examples of shapes in daily life are the Sun, Earth, Doors, Windows, Watches, Wall Clocks, and so forth.

Given

Codes are def draw shapes( centerx , centery, radius, points, color): star(centerx, centery, radius, points, fill.

6 shapes can be drawn by the given code.

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1)Test Static: 1.82

2)P-Value: < 0.05

3)Decision: i. Reject the null hypothesis.

To test the claim that the population mean is greater than 90, we can use a one-sample t-test.

(a) The test statistic for the one-sample t-test is calculated as:

Plugging in the values, we get:

(b) To find the p-value for the test, we can use a t-table or a statistical software package to find the probability of observing a t-value as extreme or more extreme than the one we obtained, given that the null hypothesis is true. For a one-tailed test with α = 0.05 and df = 99 (the sample size - 1), the critical value for t is approximately 1.65. Since our test statistic (1.82) is greater than the critical value, the p-value is less than 0.05.

(c) Since the p-value is less than the significance level of α = 0.05, we reject the null hypothesis and conclude that the population mean is indeed greater than 90. Therefore, the decision for this test is: i. Reject the null hypothesis.

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The system of linear equations, that models the problem is represented  as x = 2 and 64x + 132y = 1040 while the cost of adult and student tickets is $8 and $4 respectively.

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1.

Let;

a)

x = 2y ...eq(i)

64x + 132y = 1040 ...eq(ii)

b)

From equation (i)

64(2y) + 132y = 1040

y = 4

Put y = 4 into equation (i)

x = 2(4)

x = 8

The cost of adult ticket is $8 and student ticket is $4

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Answer:

Define a sequence of random variables B, Does the sequence of random variables Bre n converge in probability to a constant b? If yes, enter the value of b below, if no, enter "DNE". (Enter e for the constant e)

B6- As above, let a be the limit in probability of An, ie. An a, and b be the limit in probabiity of Bn = 4, i.e. Br*b, if these limits exist. Does the sequence of random variables (Br-b) converge in distribution? Choose the correct characterization of the limit distribution: O N (0,1) O N 0, "Var (X2) O N (0, "Var (x2)) O N (0, 24Var (X²)) O N 0, e?Var (An)) O Does not converge in distribution

Step-by-step explanation:

Define a sequence of random variables B, Does the sequence of random variables Bre n converge in probability to a constant b? If yes, enter the value of b below, if no, enter "DNE". (Enter e for the constant e)

B6- As above, let a be the limit in probability of An, ie. An a, and b be the limit in probabiity of Bn = 4, i.e. Br*b, if these limits exist. Does the sequence of random variables (Br-b) converge in distribution? Choose the correct characterization of the limit distribution: O N (0,1) O N 0, "Var (X2) O N (0, "Var (x2)) O N (0, 24Var (X²)) O N 0, e?Var (An)) O Does not converge in distribution

The correct characterization of the limit distribution and other Questions are answered in the following steps.

For the first question, the distribution of (An-a) is approximated best by N(0, n) because the variance of the sample mean of i.i.d. standard normal variables is 1/n.

For the second question, since An converges in probability to a constant, Bn = 4An also converges in probability to 4a. Therefore, the sequence of random variables (Bn-b) does converge in distribution.

For the third question, the limit distribution of (Bn-b) is N(0, 4^2 * n) because the variance of the product of a random variable and a constant is the constant squared times the variance of the random variable.

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Therefore, the given  area of the slice which is covered with chocolate = 276.57 c[tex]m^{2}[/tex]

Area is a mathematical notion that describes the size of a region on a planar or curved surface. A surface area is the area of an open surface or the border of a three-dimensional object, whereas a plane region's or plane's area's refers to a shape's or planar lamina's area.

Here,

Given :

circular cake radius = 12 cm

circular cake height = 7 cm

thus,

the area of the slice which is covered with chocolate = θ/360 *π[tex]r^{2}[/tex]

=> 22/360 * 3.14 *12*12

=> 22/360 * 3.14 *144

=>69.08/360 * 144

=> 276.57 c[tex]m^{2}[/tex]

Therefore the given  area of the slice which is covered with chocolate = 276.57 c[tex]m^{2}[/tex]

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The next three numbers that would be generated are 13, 37, and 109.

Formula is a mathematical expression that is used to calculate the value of a particular quantity, such as a number, a quantity of a certain type of material, or a number of elements. The most common form of a formula is an equation, which contains two or more variables and is written in the form of a mathematical expression. Formulas are used in many disciplines, including physics, chemistry, engineering, and economics, to solve problems and determine relationships between quantities.
This is because the formula applies the operation of multiplying the current number by 3 and then subtracting 2. Applying this formula to 5 gives 13, and then applying the formula to 13 gives 37, and so on. The resulting sequence is 5, 13, 37, 109, and so on. This is a simple PRNG that can be used to generate sequences of random numbers.

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The affect of mean and median due to the birth of the 4th kitchen is B. Both the mean and median will increase, but the mean will increase by more than the median.

The median is the middle value when the values are ordered from smallest to largest. In this case, the median of the first 3 kittens is 153 because it is the middle value of (147, 153, 159). The median of all 4 kittens is 153 because it is the middle value of (57, 147, 153, 159). The median does not change because the addition of the 4th kitten does not change the position of the middle value.

The mean is calculated by adding up all the values and dividing by the number of values. In this case, the mean of the first 3 kittens is:

(147 + 153 + 159) / 3 = 153

The mean of all 4 kittens is:

(147 + 153 + 159 + 57) / 4 = 128

The mean increases because the addition of the 4th kitten with a lower mass pulls the overall average down.

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Answer:

------------------------------

The binomial coefficients can be found using Pascal's triangle.

Remember the rows are numbered starting from the second one on the top, and the first element is skipped in every row.

For the first one, follow the 11th row and 6th column, it is number 462, and for the second one follow the 4th row and 1st column, this is number 4, see the attached for both.

Calculation of the binomial coefficient is as follows:

The solution of the expression is ( 4 + √3 / x) ( 4 + √13 / x).

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is 4 + √(3x⁻²) and 4 + √(13⁻²). The expression will be solved as,

E = {[4 + √(3x⁻²)]} { {4 + √(13x⁻²).]}

E =  {4 + [√3 / √x²]  { [4 + √13 / √x²]}

E = ( 4 + √3 / x) ( 4 + √13 / x).

Therefore, the solution of the expression is ( 4 + √3 / x) ( 4 + √13 / x).

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Answer:

235.5

Step-by-step explanation:

cylinder volume formula

V = pi * r^2 * h

V = 3.14 * 5^2 * 3

V = 3.14 * 25 * 3

V = 3.14 * 75

V = 235.5

Alona is using a quantitative approach to her studies.

The goal of quantitative research is to quantify the data collection and processing process.

It is based on a deductive method that emphasizes the validation of the hypothesis and is influenced by positivist and empiricist theories.

This research technique, which is related to the natural, applied, formal, and social sciences, encourages the unbiased empirical exploration of observable phenomena to test and comprehend correlations.

This is accomplished using a variety of quantification techniques and procedures, demonstrating the wide application of this approach as a research strategy across numerous academic fields.

So, in the given situation, Alona is using the quantitative research method.

Therefore, Alona is using a quantitative approach to her studies.

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The equation of the regression line is y=-30.27+0.449x and predicted number of absences when the temperature is 910= 10.589

See table for sum of values.

The regression equation is:

y=α+βx

β = [tex]\frac{Sxx}{Syy}[/tex]=6995-97799779[tex]\frac{6995-9\times\frac{779}{9}\times\frac{77}{9}}{68613-9(\frac{779}{9} )2}[/tex]= 0.449

α=y-βx= 779-(0.449)7799 = =-30.27

The equation is y=-30.27+0.449x

Where y = predicted variable; x = independent variable = 0.449; - 30.27 = intercept/ slope

Constructing a 91% prediction interval for y:

x = 910

Inputting x = 91 into the regression equation : y = 0.449(91) - 30.27

y = 40.859 - 30.27 = 10.589

Prediction interval = y pm error margin

To save computing time, error margin (E) can be obtained using the online error margin calculator.

Obtained error margin (E) value = 2.3398

(10.589- 2.3398, 10.589+ 2.3398)

(8.2492, 12.9288)

(8, 13)

The equation of the regression line is y=-30.27+0.449x and predicted number of absences when the temperature is 910= 10.589

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Answer:

$52

Step-by-step explanation:

Sebastian spent $120 on the airline ticket and $55 * 4 = $<<55*4=220>>220 on the hotel.

So, he spent a total of $120 + $220 = $<<120+220=340>>340 on the airline ticket and hotel.

He has $600 - $340 = $<<600-340=260>>260 left to spend.

He plans to be on the trip for 5 days, so he can spend $260 / 5 = $<<260/5=52>>52 per day.

To have enough money to buy the radio, Jessica will have to babysit for 32 hours

From the question, we have the following parameters that can be used in our computation:

Earnings = $35 for 7 hours

This means that the hourly rate can be calculated as

Hourly rate = $35/7 hours

Using the above as a guide, we have the following:

Evaluate the quotients

Hourly rate = $5 per hour

The number of hours Jessica will have to babysit is calculated as

Number of hours = 160/Hourly rate

Substitute the known values in the above equation, so, we have the following representation

Number of hours = 160/5

Evaluate

Number of hours = 32

Hence, the number of hours is 32

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We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100. 0.5% of employees walk to work.

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred.

A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.

The symbol "%" is frequently written after the number to indicate percentages.

We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.

Given,Employees who use;

Car: 758

Bus: 530

Walk: 7  

Other: 105

Total = 758+530+7+105 = 1400

Employees percentage who walk to work

=No of employees who walk /Total number*100

Percentage =700/1400 =0.5%

0.5% of employees walk to work.

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Answer:

16

mark me brainliest

Step-by-step explanation:

Answer:

  17.86

Step-by-step explanation:

You want to find y when x=8 using the equation y = 13.06 +0.6x.

Put the value of the variable in place of the variable in the equation, and do the arithmetic.

  y = 13.06 +0.6x

  y = 13.06 +0.6·8 . . . for x=8

  y = 13.06 +4.8

  y = 17.86

The estimated value of y for x=8 is 17.86.

The line that is an irregular line of a blank verse is A . “ He only says , ‘Good fences make good neighbours. ”

The irregularity of the line is that it has 11 syllables while other lines have 10 syllables .

Unrhymed but metric poetry with usually always iambic pentameter is referred to as "blank verse" in literature.

Going by the definition, the three bottom lines are regular lines in a blank verse as they have 10 syllables. However, the first line, has 11 syllables, thereby making it irregular.

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Answer:

To convert kilometers to miles, you can use the conversion factor that 1 kilometer is equal to 0.621371 miles.

So to convert 54.74 kilometers to miles, you can multiply 54.74 by 0.621371:

54.74 kilometers * 0.621371 miles/kilometer = 34.09 miles

Rounded to the nearest whole number, this is 34 miles.

Step-by-step explanation:

Answer:

To convert kilometers to miles, you can use the conversion factor that 1 kilometer is equal to 0.621371 miles. To convert 54.74 kilometers to miles, you can multiply the number of kilometers by the conversion factor:

[tex]54.74 kilometers * 0.621371 miles/kilometer = 34.08 miles[/tex]

Rounded to the nearest whole number, there are approximately 34 miles in 54.74 kilometers.

Step-by-step explanation:

Answer:

Square and Rectangle

Answer:

The apparent nth term of the given sequence is given by the formula:

a_n = 1 / n!

where n! is the factorial of n, defined as the product of all positive integers less than or equal to n.

For example, the first term of the sequence is 1/1! = 1/1 = 1, the second term is 1/2! = 1/2 = 1/2, the third term is 1/3! = 1/6, and so on.

Therefore, the expression for the apparent nth term of the sequence is:

a_n = 1 / n!

Answer:

[tex]a_n=\dfrac{1}{n!}[/tex]

Step-by-step explanation:

Given sequence:

[tex]1,\; \dfrac{1}{2},\; \dfrac{1}{6}, \; \dfrac{1}{24}, \; \dfrac{1}{120}, \; ...[/tex]

Analyse each term in the sequence:

[tex]a_1=\dfrac{1}{1}=\dfrac{1}{1 \times 1}=\dfrac{1}{1!}[/tex]

[tex]a_2=\dfrac{1}{2}=\dfrac{1}{2 \times 1}=\dfrac{1}{2!}[/tex]

[tex]a_3=\dfrac{1}{6}=\dfrac{1}{3 \times 2 \times 1}=\dfrac{1}{3!}[/tex]

[tex]a_4=\dfrac{1}{24}=\dfrac{1}{4 \times 3 \times 2 \times 1}=\dfrac{1}{4!}[/tex]

[tex]a_5=\dfrac{1}{120}=\dfrac{1}{5 \times 4 \times 3 \times 2 \times 1}=\dfrac{1}{5!}[/tex]

The exclamation mark "!" placed after a number means factorial.

It means to multiply all whole numbers from the given number down to 1.   Example:  4! = 4 × 3 × 2 × 1

Therefore, the equation for the nth term of the given sequence is:

[tex]a_n=\dfrac{1}{n!}[/tex]

Answer:

C.

Step-by-step explanation:

Also what you picked

Step-by-step explanation:

To solve an equation for a variable, you can isolate the variable by performing operations that eliminate all other terms.

In this case, the given equation is 2x^2/y = w + 2/4. To solve for w, you can first eliminate the 2/4 term on the right-hand side by multiplying both sides of the equation by 4/2:

4 * (2x^2/y) = 4 * (w + 2/4)

4 * 2x^2/y = 4w + 4 * 2/4

8x^2/y = 4w + 2

Then, you can subtract 2 from both sides to eliminate the 2 on the right-hand side:

8x^2/y - 2 = 4w + 2 - 2

8x^2/y - 2 = 4w

Finally, you can divide both sides of the equation by 4 to eliminate the 4 on the right-hand side:

(8x^2/y - 2) / 4 = (4w) / 4

w = 8x^2/7 - 2

Therefore, the correct answer is w = 8 x squared minus 2 y Over y. This is an equivalent equation to find w, as it gives the same value for w as the original equation when the same values are used for x and y.

The other equations given are not equivalent to the original equation for finding w.

Therefore at $5 you selling 15 mugs will generate the maximum revenue.

In discrete mathematics, a graph is made up of points called vertices, and the connecting lines between them are called edges. Simple graphs, linked and unconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and linked and unconnected graphs are only a few of the numerous varieties of graphs.

Here,

For $0 for , 50 mugs be sold

For $10 for , 0 mugs be sold

Thus, from graph

1)  Slope= 50/-10 =-5

2) m(p)= -5(p-10) =-5p +10

=> m(p) =10 -5p

3)Revenue R(p) = m(p)

R(p) = 10 -5p

4) point(5,15)

5) at price p =0 , p=5 , we do not make any money

6)At $5 most revenue is made

7)when p=5

R(p) = 10 -5(5)

R(p) = 15

Thus , 15 coffee mugs will yield max revenue

8)Max revenue = $45

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After solving the equation, the number of hours obtained is that after 2 hours, the cost ends up being the same for either artist.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

Booking fee of Martha = $10

Additional hourly charge of Martha = $40

Then, the equation will be,

y = $10 + $40x            (i)

Here, y is the total cost and x is the number of hours.

Booking fee of Jackie = $20

Additional hourly charge of Jackie = $35

Then, the equation for this will be,

y = $20 + $35x           (ii)

Here, y is the total cost and x is the number of hours.

Then, depending on the length of the show, the cost could end up being the same for either artist.

So,

From equations (i) and (ii)

$20 + $35x =  $10 + $40x  

20 - 10 = 40x - 35x

5x = 10

x = 2 hours

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