m
n
Given:
(x + 60)
4xº
m || n
*not drawn to scale
What is the value of x?

Answer:

216,000,000,000 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

10^8 cards

Answer: 3x-x+2=4

Step-by-step explanation:

You can put this solution on YOUR website!

running distance is 9(t3+0.5)

biking distance is 16 (2(t3+0.5))=16(2t3+1)

swimming distance is 2.5t3

9t3+4.5+32t3+16+2.5t3=64

43.5t3=43.5

t3=1 hour

He biked for 3 hours (48 miles)

He ran for 1.5 hours (13.5 miles)

He swam for 1 hour (2.5 miles)

He covered 62 miles in 5.5 hours of activity.

Answer:

He swam for 1 hour (2.5 miles)

Step-by-step explanation:

The relation between time, speed, and distance is,

distance = speed × time

we have the expression

step 1

Apply distributive property first term

step 2

Remove the parenthesis

step 3

Combine like terms

Answer:

He will have in total $1312.50

He earns a total of $62.50

Step-by-step explanation:

1250 x 1.05 = 1312.50

1250 x 0.05 = 62.50

The graph showing the relationship between the hours Rachel studies and her grade in the exam indicates that the relationship is a function, from which we get;

12. The response to the question of if the relationship between Rachel's exam grade based on the number of hours studied which is yes the relationship is a function remains true, based on Rachel's exam score of 95 if she studies for 2 hours as indicated in the graph in the question, because the input of 2 has only one output of 95

A function is a rule, definition or law that maps the element of an input set unto the elements of an output set such that each element in the input is mapped to only one element in the output set.

Please find attached the possible graph in question, obtained from a similar question posted online, created with MS Excel.

The relationship in the graph of the question is a function, as each input is assigned to only one output.

The value of an output based on an input can be obtained either directly from the available dataset or the value can be predicted based on the value of the input variable using a formula.

The data points on the graph of relationship between the hours Rachel studied and the exam grades include the input and output point (2, 95).

The input value of 2 indicates the number of hours Rachel studies and the output value of 95 indicates Rachel's exam grade.

Part of the question included in an online post are;

Points on the graph of the relationship between the hours of study and Rachel's exam grades are; (1, 70), (2, 95), (3, 75), (5, 80), (6, 81.5), (9, 95), (11.8, 98)

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Answer:

The angular speed of a point on Earth is

π12

radian per hour. The Equator lies on a circle of radius approximately 4000 miles. Find the linear velocity, in miles per hour, of a point on the Equator.

Step-by-step explanation:

They are 31.68 miles apart.

The formula to measure the length of the arc is – Arc Length Formula (if θ is in degrees) s = 2 π r (θ/360°)

Arc Length Formula (if θ is in radians) s = ϴ × r.

given:

r= 3.960 miles

\(\theta_2\) = 40.5 and \(\theta_1\) = 32.5

We know, l = r\(\theta\)

So, Δl = rΔ\(\theta\)

Δl= r ( \(\theta_2\) - \(\theta_1\) )

Δl = 3.96 ( 40.5 - 32.5)

Δl = 3.96 x 8

Δl= 31.68 miles.

Hence, they are 31.68 miles apart.

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Answer:

y=x+1

Step-by-step explanation:

Firstly, we need to know that the slope intercept form is known as:

y=mx+b, where y and x are coordinates, m is the slope and b is the y intercept.

We need to find m first, and then b. By doing that, we use the formula:

\(\frac{y1-y2}{x1-x2} \\\\\\y1=2\\y2=-1\\x1=1\\x2=-2\)

Plugging those values in, we get:

\(m= \frac{2-(-1)}{1-(-2)} \\\\= \frac{3}{3} \\=1\)

So with this information, we already know that y=1x+b. We just need to find b.

So we can pick one of the two coordinates given. Let's use (1,2) and plug those in.

2=1(1)+b

Now with that, we solve for b.

2=1+b

2-1=b

1=b

b=1

Therefore, we have the final equation of y=1x+1

or better,

y=x+1

The domain and range of the function  f(x) = 3/x + 2 are  (-∞, 0) ∪ (0, ∞) and  (-∞, 2) ∪ (2, ∞). The vertical and horizontal asymptotes are x = 0 and y = 2 respectively

In mathematics, the domain of a function is the set of all possible input values (also known as the independent variable) for which the function is defined. The range of a function is the set of all possible output values (also known as the dependent variable) that the function can produce.

To determine the domain and range of a function, it's important to consider the nature of the function, its graph or formula, and any restrictions that may apply.

The function f(x) = 3/x + 2

The domain of the function is (-∞, 0) ∪ (0, ∞)

The range of the function is (-∞, 2) ∪ (2, ∞)

The x - intercept is (-3/2, 0)

The y - intercept does not exist

The vertical asymptotes is x = 0

The horizontal asymptotes is y = 2

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Answer:

64

Step-by-step explanation:

split it in half den it is two rectangles and they are both 32 so 32 * 2 is 64

Composing f(x)=2x-8 and g(x)=1/2x+4 results in the identity function, f(g(x)) = x.

To compose the two functions, we substitute g(x) into f(x) in place of x:

f(g(x)) = 2(g(x)) - 8

= 2(1/2x + 4) - 8

= x + 8 - 8

= x

Therefore, composing the two functions results in the identity function, f(g(x)) = x.

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Answer:

Multiply price of each burrito by 100

Step-by-step explanation:

The coupon rate of the bonds by King of Diamonds Industries would be 7 %.

The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:

= (Coupon payment  x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value /  (1  + rate )^ number of years

1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14

103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x  (1 - ( 1 + 0.07) ^ ( - 14) )

Using a calculator, C is $ 70.

This means that the coupon rate is:

= 70 / 1, 000

= 7 %

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The equation y - 5 = (4/3)(x - 6) can be written in point-intercept form as y = (4/3)x - 3, where the slope is 4/3 and the y-intercept is -3.

The point-slope form of a line is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. The point-slope form of a line can be converted to the slope-intercept form of a line, y = mx + b, where b is the y-intercept.

The equation y - 5 = (4/3)(x - 6) can be rearranged into the point-slope form of a line by isolating the y-term and simplifying: y - 5 = (4/3)(x - 6)y - 5 = (4/3)x - 8y = (4/3)x - 3

Now, we have the point-slope form of the line with slope 4/3 and y-intercept -3.

To convert this to the slope-intercept form of a line, we simply rearrange the equation to solve for y:y = (4/3)x - 3 This is the slope-intercept form of the line, where the slope is 4/3 and the y-intercept is -3.

Thus, the equation y - 5 = (4/3)(x - 6) can be written in point-intercept form as y = (4/3)x - 3, where the slope is 4/3 and the y-intercept is -3.

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Answer:

5x

Step-by-step explanation:

Let's assume that the number of plants with 5 leaves is x, and the number of plants with 2 leaves and 1 flower is y. Then, we can write two equations based on the information given:

x + y = 6 (total number of flowers)

5x + 2y = 32 (total number of leaves)

To solve for x and y, we can use the substitution or elimination method. Let's use the substitution method here.

From the first equation, we get:

y = 6 - x

Substituting this into the second equation, we get:

5x + 2(6 - x) = 32

5x + 12 - 2x = 32

3x = 20

x = 20/3

This means there are approximately 6.67 plants with 5 leaves. To find the number of plants with 2 leaves and 1 flower, we can substitute x back into the first equation:

6.67 + y = 6

y = 6 - 6.67

y = -0.67

This doesn't make sense since we can't have a negative number of plants. Therefore, we made a mistake somewhere. Let's check our equations again.

x + y = 6 (total number of flowers)

5x + 2y = 32 (total number of leaves)

We notice that the second equation should be:

2x + y = 32 (total number of leaves)

Let's use this equation instead:

x + y = 6 (total number of flowers)

2x + y = 32 (total number of leaves)

From the first equation, we get:

y = 6 - x

Substituting this into the second equation, we get:

2x + 6 - x = 32

x = 26

This means there are 26 plants with 5 leaves. To find the number of plants with 2 leaves and 1 flower, we can substitute x back into the first equation:

26 + y = 6

y = 6 - 26

y = -20

Again, this doesn't make sense. We made another mistake somewhere. Let's check our equations again.

x + y = 6 (total number of flowers)

2x + y = 32 (total number of leaves)

We notice that the first equation should be:

2x + y = 6 (total number of flowers)

Let's use these corrected equations:

2x + y = 6 (total number of flowers)

2x + 3y = 32 (total number of leaves)

From the first equation, we get:

y = 6 - 2x

Substituting this into the second equation, we get:

2x + 3(6 - 2x) = 32

2x + 18 - 6x = 32

-4x = 14

x = -14/4

Once again, we get a negative number of plants, which doesn't make sense. Let's check our equations again.

2x + y = 6 (total number of flowers)

2x + 3y = 32 (total number of leaves)

We notice that the first equation should be:

x + y = 6 (total number of flowers)

Let's use these corrected equations:

x + y = 6 (total number of flowers)

5x + 2y = 32 (total number of leaves)

From the first equation, we get:

y = 6 - x

Substituting this into the second equation, we get:

5x

Answer:

f(0) = 0

Step-by-step explanation:

f(x) = -sqrt(x)

Let x= 0

f(0) = -sqrt(0)

f(0) = 0

Value of the given function \(f(x) = -\sqrt{x}\) for \(f(0) = 0.\)

" A function is defined as the relation between the given variable represents set of all input value should have one output each."

According to the question,

Given function,

\(f(x) = -\sqrt{x}\)

Substitute the different values for 'x' for the given function we get,

\(x=1 , f(1) = -\sqrt{1}\)

                 \(=-1\)

\(x=4 , f(4) = -\sqrt{4}\)

                 \(=-2\)

\(x=0, f(0) = -\sqrt{0}\)

                 \(=0\)

Therefore, given relation is a function.

Hence, value of the given function \(f(x) = -\sqrt{x}\) for \(f(0) = 0.\)

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Answer:

D. 1/5

Step-by-step explanation:

you go up 1 points and 5 points to the right

Take two points

\(\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(\\ \sf\longmapsto m=\dfrac{3-2}{5-0}\)

\(\\ \sf\longmapsto m=\dfrac{1}{5}\)

Answer:

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.

Step-by-step explanation:

Answer:

Probabilty of selecting a blue marble if one marble is drawn

= 0.3529

Step-by-step explanation:

A bag contains 4 red marbles, 6 blue marbles, and 7 green marble.

Total number of marbles

=4 red+ 6 blue+7 green

= 17 marbles in total

Probabilty of selecting a blue marble if one marble is drawn

= Number of blue marble/total number of marble

Probabilty of selecting a blue marble if one marble is drawn

= 6/17

Probabilty of selecting a blue marble if one marble is drawn

= 0.3529

Answer:

it is a matter of time

the speed is constant

use v=d/t

to find t and comparing it

Step-by-step explanation:

and in the 2nd case assume a cannel directly conects the land that boy stands on and the golden arches with the same distances

and note that the units are the same

Answer: The smallest integer value of x in the solution is 1.

Step-by-step explanation:

The given inequality: \(-3x+10\leq5\)

To solve the inequality, we first subtract 10 from both sides

\(-3x+10-10\leq5-10\\\\\Rightarrow\ -3x\leq-5\)

Multiply negative sign on both sides ,we get

\(3x\geq5\)

Divide both sides by 3, we get

\(x\geq\frac{5}{3}\)

i.e. \(x\geq 1.6666666667\\\)

\(x\geq1\)

Hence, the smallest integer value of x in the solution is 1.

Complete question :

The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.02 and a standard deviation of .29.Find the probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

Answer:

0.10868

Step-by-step explanation:

Given that :

Mean (m) = 3.02

Standard deviation (s) = 0.29

Sample size (n) = 20

Probability of 3.10 GPA or higher

P(x ≥ 3.10)

Applying the relation to obtain the standardized score (Z) :

Z = (x - m) / s /√n

Z = (3.10 - 3.02) / 0.29 / √20

Z = 0.08 / 0.0648459

Z = 1.2336940

p(Z ≥ 1.2336) = 0.10868 ( Z probability calculator)

Portfolio 1 earns $31.77 more than portfolio 2.

To compare the two portfolios, we need to calculate the rate of return (ROR) for each one. To do so, we can use the following formula:

ROR = (gain or loss / initial investment) x 100%

Let's calculate the ROR for each investment in portfolio 1:

Tech Company Stock: 4.63%

Government Bond: -1.87%

Junk Bond: 2.50%

Common Stock: 11.13%

To calculate the overall ROR for portfolio 1, we need to weight each investment by the amount invested. The total initial investment for portfolio 1 is:

= $2,800 + $3,200 + $950 + $1,500

= $8,450

The weighted average ROR for portfolio 1 is:

= (0.463 x $2,800 + (-0.0187) x $3,200 + 0.025 x $950 + 0.1113 x $1,500) / $8,450 x 100%

= 3.12%

Now let's do the same for portfolio 2:

Tech Company Stock: 2.50%

Government Bond: 11.13%

Junk Bond: 4.63%

Common Stock: -1.87%

The total initial investment for portfolio 2 is:

= $1,275 + $2,200 + $865 + $1,700

= $6,040

The weighted average ROR for portfolio 2 is:

= (0.025 x $1,275 + 0.1113 x $2,200 + 0.0463 x $865 + (-0.0187) x $1,700) / $6,040 x 100%

= 3.03%

Therefore, portfolio 1 earns $31.77 more than portfolio 2.

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Answer:

x < 6

Step-by-step explanation:

\(x+2 < 8\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x < 6\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:6\right)\end{bmatrix}\)

\(\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\)

\(x+2-2 < 8-2\)

\(\mathrm{Simplify}\)

\(x < 6\)

~Learn with Lenvy~

Answer:

z < 6

Step-by-step explanation:

this is the correct answer

The solution to the linear equations in three variable are x = 5, y = -11, and z = 3.

It is defined as the relation between three variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The three linear equations:

2x - y + 4z = 33  ..(i)

x + 2y - 3z = -26 ...(ii)

-5x - 3y + 5z = 23 ...(iii)

After solving the above linear equation by elimination method:

From the equation (i):

\(x=\dfrac{33+y-4z}{2}\)  ....(iv)

Plug the above value in the equation (ii) and (iii)

\(\rm \dfrac{33+y-4z}{2}+2y-3z=-26\\\\\\\\ -5\cdot \dfrac{33+y-4z}{2}-3y+5z=23\)

After solving the above linear equation in two variables:

y = -11

z = 3

Plug the above values in the equation (iv)

We get the value of x:

x = (33-11-3(4))/2

x = (33-11-12)/2

x = 10/2

x = 5

Thus, the solution to the linear equations in three variable are x = 5, y = -11, and z = 3.

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The linear relationship illustrated in the provided table can be effectively described by the equation Y = -4x + 2. Option D.

To determine the equation that represents the given table with the values of x and y, we can observe the pattern and find the equation of the line that fits these points.

Given the table:

X: 2 0 4

Y: -4 3 1

We can plot these points on a graph and see that they form a straight line.

Plotting the points (2, -4), (0, 3), and (4, 1), we can see that they lie on a line that has a negative slope.

Based on the given options, we can now evaluate each equation to see which one represents the line:

Y = 1/2x + 5

When we substitute the x-values from the table into this equation, we get the following corresponding y-values: -3, 5, and 6. These values do not match the given table, so this equation does not represent the table.

Y = -1/2x + 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: 4, 3, and 2. These values also do not match the given table, so this equation does not represent the table.

Y = 2x - 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -4, -3, and 5. These values do not match the given table, so this equation does not represent the table.

Y = -4x + 2

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -6, 2, and -14. Interestingly, these values match the y-values in the given table. Therefore, the equation Y = -4x + 2 represents the table.

In conclusion, the equation Y = -4x + 2 represents the linear relationship described by the given table. So Option D is correct.

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Answer:

-2

Step-by-step explanation:

When x = 1, 3x² + 2x - 7 = -2.

Answer:

μ = 6500

μx= 6500

σx= 76

σ= 450

n= 35

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes 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.

The average game is attended by 6,500 fans, with a standard deviation of 450 people.

This means that \(\mu = 6500, \sigma = 450\)

35 games:

This means that \(n = 35\)

Distribution of the sample mean:

By the Central Limit Theorem, we have \(\mu_x = \mu = 6500\) and the standard deviation is:

\(\sigma_x = \frac{450}{\sqrt{35}} = 76\)