8.a. Simplify: 10a+46-(3a+2b)​

Answer:

Step-by-step explanation:

First, we use alternating angles which makes (8x -34) = (5x + 2)

8x - 34 = 5x + 2

Then we collect similar terms

8x - 5x = 2 + 34

3x = 36

x = 12

Since ∠DEF is 5x + 2 and x is 12

Sub x into the expression

5(12) + 2

60 + 2 = 62

∴ ∠DEF = 62°

Answer:

a^9*b^6

Step-by-step explanation:

a^(-8)                              b              1                                         1

-------- = a^(-3), and   ----------- = ---------  Their product is --------------

a^(-5)                            b^(3)        b^2                                a ^3*b^2

This is the algebraic expression inside the parentheses.  We must now take

the negative 3rd power of this result.

  (a^3*b^2)^3 = a^9*b^6

Answer:

6.4 miles

Step-by-step explanation:

Here we should notice that the distance that Brian runs and the spent time are two proportional variables.

Then

\(\frac{time}{distance } = k \ \ ;\text{where k is a constant}\)

\(k = \frac{30}{4} = 7.5\)

let ‘d’ be the number of miles thatBrian would run in 48 minutes

We can write this equation:

\(\frac{48}{d} = 7.5\)

Then

\(d = \frac{48}{7.5 } = 6.4\)

Answer:

17500

Step-by-step explanation:

350/2%

Answer:

17500

Step-by-step explanation:

look at the awenser above me and believe him

Answer:

C,D, and E

Step-by-step explanation:

Markup means to raise the price. Multiplying by anything grater than 1 is a markup and since C,D, and E are all multiplying the price of W by greater than one they are all marking up.

Answer:

Is 50

Step-by-step explanation:

I don’t know

The circumference of the circle in terms of π whose radius is given would be = 63π. That is option D.

To calculate the circumference of a circle, the formula that should be used would be given below.

That is;

circumference of circle= 2πr

The radius = 31½

circumference = 2×π × 31½

= 2×π× 63/2

= 63π

Learn more about circle here:

https://brainly.com/question/26594685

#SPJ1

The linear regression to analyze is log(T) vs log(a) or, in other words, (D) log T vs log a. Linear regression is a statistical technique used to model the relationship between a dependent variable and one or more independent variables.

To determine the power-law relation between the semi-major axes (a) and orbital periods (T) of the solar planets, we need to analyze the linear regression between the logarithm of T and the logarithm of a. Therefore, the correct choice is (D) logT vs loga.

In the power-law relation, if we assume T = bxa^m, we can take the logarithm of both sides to linearize the equation:

log(T) = log(b) + m * log(a)

By doing this transformation, we obtain a linear equation of the form y = mx + h, where y represents log(T), x represents log(a), m represents the slope of the line (related to the exponent of a in the power-law relation), and h represents the y-intercept (related to the constant term in the power-law relation).

By performing linear regression on the logarithmic values of T and a, we can estimate the values of m and h, which will help us determine the power-law relation between T and a.

So, the linear regression to analyze is log(T) vs log(a) or, in other words, (D) logT vs loga.

Visit here to learn more about exponent brainly.com/question/26296886

#SPJ11

Answer:

B

Step-by-step explanation:

Students may not truthfully reply because they fear it will affect their grade.

a) DFA for the set of all strings whose 3rd symbol from the right end is 0.

Main answer: The DFA for the given set of strings will have six states.

Supporting answer: Let Q = {q0, q1, q2, q3, q4, q5}, and Σ = {0,1} be the set of states and the input alphabets respectively. Let δ be a transition function defined as:δ(qi, 1) = q(i+1)mod6δ(qi, 0) = qi  (1 ≤ i ≤ 5) and δ(q5, 1) = q0, δ(q5, 0) = q4.Then, the DFA for the given set of strings will be given by M = (Q, Σ, δ, q0, {q2}), where Q is the set of states, Σ is the input alphabet, δ is the transition function, q0 is the initial state, and {q2} is the set of final states.

b) DFA for the set of strings such that the number of O's is divisible by 2 and the number of i's divisible by 3

Main answer: The DFA for the given set of strings will have six states.

Supporting answer: Let Q = {q0, q1, q2, q3, q4, q5}, and Σ = {0,1} be the set of states and the input alphabets respectively. Let δ be a transition function defined as:δ(qi, 1) = q(i+1)mod6δ(qi, 0) = qi  (1 ≤ i ≤ 5) and δ(q5, 1) = q0, δ(q5, 0) = q4Then, the DFA for the given set of strings will be given by M = (Q, Σ, δ, q0, {q0}), where Q is the set of states, Σ is the input alphabet, δ is the transition function, q0 is the initial state, and {q0} is the set of final states.

Know more about DFA here:

https://brainly.com/question/30889875

#SPJ11

Answer:

Leah has 80 less paychecks than the weekly person.

Step-by-step explanation:

Leah is getting 24 paychecks in 2 years, Weekly person gets 104 paychecks in 2 years, 104 - 24 = 80 paychecks.

A system of equations is simply a collection of equations that can be dependent, independent, consistent, or inconsistent.

2x + y = 8x - 2y = -6 is x,y = 2,4

Given equation,

2x + y = 8x - 2y = -6

x,y = 2,4

[1]    2x + y = 8

[2]    x - 2y = -6

Solve [2] for the variable  x

[2]    x = 2y - 6

Plug this in for variable  x  in [1]

[1]    2•(2y-6) + y = 8

[1]    5y = 20

Solve [1] for the variable  y

[1]    5y = 20

[1]    y = 4

By now we know this much

x = 2y-6

y = 4

Use the  y  value to solve for  x

x = 2(4) -6 = 2

Hence, {x,y} = {2,4}

To learn more about Systems of equations, refer to:

https://brainly.com/question/13729904

#SPJ1

Ella's bait and tackle shop sells 230,385 in April and May.

Based on the given conditions, formulate:

Bait and tackle sold in 128,278 live worms in April

Bait and tackle sold in 102,278 live worms in May

So the total number of Bait and tackles sold in April and May =

                                                                                             =128,107+102,278

                                                                                              = 230,385

To know more about the sum sold refer to the link given below:

https://brainly.com/question/25586322

#SPJ4

It has one solution which is X=5

Hope this helps

Have a great day/night

Feel free to ask any questions

Percentage of data within 2 population standard deviations of the mean is 68%.

To calculate the percentage of data within two population standard deviations of the mean, we need to first find the mean and standard deviation of the data set.

The mean can be found by summing all the values and dividing by the total number of values:

Mean = (20*2 + 22*8 + 28*9 + 34*13 + 38*16 + 39*11 + 41*7 + 48*0)/(2+8+9+13+16+11+7) = 32.68

To calculate standard deviation, we need to calculate the variance first. Variance is the average of the squared differences from the mean.

Variance = [(20-32.68)^2*2 + (22-32.68)^2*8 + (28-32.68)^2*9 + (34-32.68)^2*13 + (38-32.68)^2*16 + (39-32.68)^2*11 + (41-32.68)^2*7]/(2+8+9+13+16+11+7-1) = 139.98

Standard Deviation = sqrt(139.98) = 11.83

Now we can calculate the range within two population standard deviations of the mean. Two population standard deviations of the mean can be found by multiplying the standard deviation by 2.

Range = 2*11.83 = 23.66

The minimum value within two population standard deviations of the mean can be found by subtracting the range from the mean and the maximum value can be found by adding the range to the mean:

Minimum Value = 32.68 - 23.66 = 9.02 Maximum Value = 32.68 + 23.66 = 56.34

Now we can count the number of data points within this range, which are 45 out of 66 data points. To find the percentage, we divide 45 by 66 and multiply by 100:

Percentage of data within 2 population standard deviations of the mean = (45/66)*100 = 68% (rounded to the nearest percent).

Therefore, approximately 68% of the data falls within two population standard deviations of the mean.

for more such questions on population

https://brainly.com/question/30396931

#SPJ8

Answer:

Over the interval [0, 2], the average rate of change of f is greater than that of g. The y-intercept of f is the same as the y-intercept of g.

Step-by-step explanation:

The function i.e mentioned in the question is

\(f(x)=5^x-4\)

Now Placing x = 0, to compute the y-intercept

\(f(0)=5^(0)-4=1-4=-3\)

f(x) y-intercept is -3

As we can see in the given graph the graph of g(x) intersects the y-axis at -3

Therefore the y-intercept of g(x) is -3.

Hence, both functions with respect to the y-intercepts i.e f(x) and g(x) would remain the same

Now At x=2,

So, the value of the function is

\(f(2)=5^2-4=25-4=21\)

The average rate of change of f over the interval [0,2] is

\(m=\frac{f(2)-f(0)}{2-0}\)

\(m=\frac{21-(-3)}{2}=12\)

From the mentioned graph as we can see that the graph of g(x) is crossing through the points (0,-3) and (2,12).

The average rate of change of g over the interval [0,2] is

\(m=\frac{g(2)-g(0)}{2-0}\)

\(m=\frac{12-(-3)}{2}=7.5\)

Therefore this is the correct answer but the same is not provided in the given options

Answer:

C

Step-by-step explanation:

We have the expression:

\(\sqrt{-100}\)

Rewriting this yields:

\(=\sqrt{-1\cdot100}=\sqrt{-1}\cdot\sqrt{100}=i\sqrt{100}=10i\)

Therefore, our answer is C.

Answer:

Step-by-step explanation:

Answer:

10 15 75

Step-by-step explanation:

Answer:\(-0.802; \ 1.517\)

Step-by-step explanation:

Given

\(3^x=x^4\)

Here, two functions are given that is \(y=3^x\) and \(y=x^4\)

Check for the intersection of the graph of two curves

From the graph, they cut at two different points  i.e. \(x=-0.802\ \text{and}\ x=1.517\)

Rest two roots are negative.

Answer:

Answer below :)

Step-by-step explanation:

To determine which bus is the most consistent, we need to look at the measures of variability for each bus. The two measures of variability that are commonly used are the range and the interquartile range (IQR).

The range is the difference between the maximum and minimum values in a dataset. It gives an idea of how spread out the data is but can be affected by extreme values or outliers. The IQR is a better measure of variability as it is not affected by extreme values and is a more robust measure of variability.

Looking at the given data, Bus 47 has a range of 8 and an IQR of 8, while Bus 14 has a range of 6 and an IQR of 6. This indicates that Bus 14 has less variability in its travel times than Bus 47.

Therefore, we can conclude that Bus 14 is the most consistent in terms of travel times.

Answer:

1/2 y > 22

Solved: y > 44

Step-by-step explanation:

We are trying to write an inequality

One-half of a number y

1/2 y

is more than

>

22

1/2 y > 22

Solving the inequality

Multiply each side by 2

1/2y * 2 > 22*2

y > 44

Answer:

2/5

Step-by-step explanation:

To find the slope of a line, you can use the formula or graph it. The formula is Y2 - Y1/X2 - X1. Y2 in this case is -6 and Y1 is -4. Y2 - Y1 is -2. X2 is -4 in this equation and X1 is 1. -4 - 1 is -5. The slope I get is -2/-5. The - cancel out however since there are 2. You are left with 2/5 as your slope.

Answer: The answer is C, 1/3 cup.

After calculating the partial derivatives and the cross product, we can find the double integral of the magnitude over the region (0 ≤ r ≤ √3, 0 ≤ θ ≤ 2π). This double integral gives the surface area of the part of the plane inside the cylinder.

To find the area of the surface of the part of the plane x + 2y + 3z = 1 that lies inside the cylinder x^2 + y^2 = 3, we can use a parametric representation for the plane and cylinder intersection.

Let x = r * cos(θ) and y = r * sin(θ), where r^2 = 3 (from the cylinder equation). Now, we can find z in terms of r and θ using the plane equation:

z = (1 - x - 2y) / 3
z = (1 - r * cos(θ) - 2r * sin(θ)) / 3

Now, we have the parametric representation of the intersection: (r * cos(θ), r * sin(θ), (1 - r * cos(θ) - 2r * sin(θ)) / 3). To find the surface area, we need to calculate the partial derivatives with respect to r and θ and then find the magnitude of the cross product.

After calculating the partial derivatives and the cross product, we can find the double integral of the magnitude over the region (0 ≤ r ≤ √3, 0 ≤ θ ≤ 2π). This double integral gives the surface area of the part of the plane inside the cylinder.

To know more about Derivatives  visit :

https://brainly.com/question/29144258

#SPJ11

Answer:

x = 4\(\sqrt{3}\)

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin60° = \(\frac{\sqrt{3} }{2}\) , then

sin60° = \(\frac{opposite}{hypotenuse}\) = \(\frac{x}{8}\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )

2x = 8\(\sqrt{3}\) ( divide both sides by 2 )

x = 4\(\sqrt{3}\)

Answer:

The answer is A

Step-by-step explanation:

Quotient means division, so b and c are out. 8 came first, so A is the correct answer