Can someone help me ASAP it’s due tomorrow. I will give brainliest if it’s all done correctly. Show work.

Answer:

x=10/3

Step-by-step explanation:

step 1: add five to both sides to get rid of the -5.

step 2: divide 6 on both sides to isolate the variable

step 3: simplify 20/6 by finding the greatest common factor which is 2.

Answer:

5/3

Step-by-step explanation:

I believe it's the answer because 15 minus 5 is 10 and if you divide it its 3 over 5 but its switched here so your answer is 5/3

The sentence that explains why two of the fractions shown on the number lines below are equivalent is "The fractions \(\frac{1}{2}\) , \(\frac{2}{4}\) are equivalent because both fractions have the same denominator."

The two fractions \(\frac{1}{2}\) and \(\frac{2}{4}\)  have the same denominator, which is 4. If we multiply the numerator and denominator of \(\frac{1}{2}\) by 2, we get \(\frac{2}{4}\) which means they are equivalent.

When two fractions have the same denominator, they can be easily compared and converted to their equivalent forms.

A number line is a graphical representation of numbers on a straight line, which can be used to compare numbers and determine their value and relationships. Although the number line helps in understanding the fractions, it does not have any direct relation with the equivalence of the given fractions.

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The equation of the line that passes through the point (3, 2) and is perpendicular to 3x + 5y = 15 is y = (5/3)x - 3

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of the line is y = m(1)x + c

The line passes through (3, 2) and is perpendicular to 3x + 5y = 15.

This means,

3x + 5y = 15

5y = -3x + 15

y = (-3/5)x + 3

m(2) = (-3/5)

Now,

m(1) x m(2) = -1

m(1) = -1 / ((-3/5)

m(1) = 5/3

Now,

(3, 2) = (x, y)

y = m(1)x + c

2 = (5/3) x 3 + c

2 = 5 + c
c = 2 - 5

c = -3

Thus,

The equation of the line is y = (5/3)x - 3.

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We estimate that the average number of roommates per semester for all students at the local college is 0.7.

The best point estimate for the average number of roommates per semester for all students at the local college would be the sample mean, which is calculated as the sum of the number of roommates for all students in the sample divided by the number of students in the sample.

Using the information given in the problem, we have:

Sample size (n) = 133

Sample mean (\(\bar X\)) = 0.7

Therefore, the best point estimate for the population mean (μ) is the sample mean:

μ ≈ \(\bar X\) = 0.7

So, we estimate that the average number of roommates per semester for all students at the local college is 0.7.

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Answer:

2/3 (0,-3) is one possible answer.

Step-by-step explanation:

y  -1 = 2/3(x-6)  We want to get this into the slope intercept form of a line.  We want it to be in the form y = mx + b.  Let's clear the fraction first by multiplying the whole equation through by 3.

3(y - 1) = 3[2/3(x - 6)]

3y -3 = 2(x -6)

3y - 3 = 2x -12

3y = 2x - 9  Now divide all the way through by 3 to get

y = 2/3x - 3  

y = mx + b.  The m part is the slope.  In this equation the slope is 2/3

There are in infinite amount of points on a line.  I do not know if they give you a picture or if you are just to create your own.  I am going to create a point that have x = 0.  I get to pick the point.  I could pick any number.  0 is just usually really easy.  So, if I substitute 0 for x I will get:

y = 2/3(0) - 3

y = 1  so my point is (0,-3)

Now that I think about it, I do not think that I would start out clearing the fraction even though it works.  I think that I would do it like this"

y - 1 = 2/3(x - 6)  Distribute the 2/3 through (x - 4) to get

y-1 = 2/3x -4  I can make -6 a fraction by putting it over 1.  Now we have 2/3(-6/1)  multiply across to get  -12/3.  A positive times a negative is a negative.  -12 divided by 3 is -4.

y - 1 = 2/3x -4   now add 1 to both sides.

y = 2/3x -3

Given:

The table shown the number of campers, x, at a local campsite and the total amount of money, y, in dollars, earned by the camp site.

To find:

The unit for the rate of change.

Solution:

We know that, rate of change is the change in y-values with respect to x-values, i.e.,

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

In the given problem, y is the total earnings in dollars and x is the number of campers. So, the rate of change represents the change is earnings with respect to number of campers.

Thus, the unit of rate of change is dollars per camper.

Therefore, the correct option is D.

The Phillips curve describes the relationship between the unemployment rate and the rate of change of wages. Option C is the correct option.

What is  Phillips curve?

The relationship between the rate of inflation and the unemployment rate is represented by the Phillips curve. The analysis of wage inflation and unemployment in the United Kingdom from 1861 to 1957 by A. W. H. Phillips, despite having forerunners, is a significant development in the field of macroeconomics. When unemployment was high, wages rose slowly; when unemployment was low, wages rose quickly, according to Phillips' research.

According to Phillips' hypothesis, as the unemployment rate declines, the labor market becomes more competitive and firms are forced to raise wages more quickly in order to recruit qualified workers. The pressure decreased as unemployment rates rose. The average relationship between wage behavior and unemployment over the course of the business cycle was represented by Phillips' "curve."

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Answer:

-8x^2+2x+5

Step-by-step explanation:

Distributive Property

The derivative dy/dx of the equation ysin(x^2) = xsin(y^2) is given by (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

In the given equation, y and x are both variables, and y is implicitly defined as a function of x. To find dy/dx, we differentiate each term using the chain rule and product rule as necessary.

Differentiating the left-hand side of the equation, we apply the product rule to ysin(x^2). The derivative of ysin(x^2) with respect to x is dy/dxsin(x^2) + ycos(x^2)*2x.

Differentiating the right-hand side of the equation, we apply the product rule to xsin(y^2). The derivative of xsin(y^2) with respect to x is sin(y^2) + x*cos(y^2)2ydy/dx.

Now we have two expression for the derivative of the left and right sides of the equation. To isolate dy/dx, we can rearrange the terms and solve for it.

Taking the derivative of ysin(x^2) = xsin(y^2) with respect to x using implicit differentiation yields:
dy/dxsin(x^2) + ycos(x^2)2x = sin(y^2) + xcos(y^2)2ydy/dx.

By rearranging the terms, we can solve for dy/dx:
dy/dx * (sin(x^2) - 2yxcos(y^2)) = sin(y^2) - y*cos(x^2)*2x.

Finally, we can obtain the value of dy/dx by dividing both sides by (sin(x^2) - 2yxcos(y^2)):
dy/dx = (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

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The value of x is 0.918.

We have,

Sin 147 = x/1.7

Now,

Sin 147 = 0.54

Substituting.

0.54 = x / 1.7

x = 0.54 x 1.7

x = 0.918

Thus,

The value of x is 0.918.

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f(x) = x is a simple linear function with a slope of 1, f(x) = 3 5 6 is a constant function, f(x) = 3-x is a linear function with a negative slope of -1,  f(x) = 1 is a constant function, f(x) = 2 is a constant function

A constant function is a mathematical function whose output value is the same for every input value

From the given parameters, f(x) = x is a simple linear function with a slope of 1, this implies  that for every unit increase in x, the value of y increases by 1.

Also,  f(x) = 3 5 6 is a constant function, where the value of y is always 3 5 6, regardless of the value of x.

In the same way,  f(x) = 3-x is a linear function with a negative slope of -1, which means that for every unit increase in x, the value of y decreases by 1. The fourth function f(x) = 1 is a constant function, where the value of y is always 1, regardless of the value of x.

The domain of the fifth function is 3 0, which means that x can take any value between 3 and 0.

The sixth function f(x) = 2 is a constant function, where the value of y is always 2, regardless of the value of x.

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Hi, I'm happy to help!

To solve, this, we need to find the distance in x coordinates, y coordinates, then use the Pythagorean Theorem, let's solve!

First, we have to find the distance in x coordinate values. The first coordinate is -8, and the second is -4, which means there is an x distance of 4.

Next, we need to find the distance in y coordinate values. The first coordinate is -2, and the second is 5, meaning there is a y distance of 7.

From here, we use the Pythagorean Theorem. This states that a²+b²=c².

This applies to right triangles, which is what we have. The x distance is a, the y distance is b, and the overall distance is c. We need to find c to answer the question. Let's plug in our values:

4²+7²=c²

16+49=c²

65=c²

To find c, we need to find the square root of 65.

√65

8.0622577...

Rounding to the nearest tenth is 8.1.

The distance between the two points is about 8.1.

I hope this was helpful, keep learning! :D

Answer:

2000km=1 hour so 1000km=half an hour (1/2)

5 times half an hour=2.5 hours=2 hours 30 minutes

Answer:

The probability that the individual has the disease is 1/500

Step-by-step explanation:

i found the fraction of 1 in 500 which is 1/500, hope this helps :)

Answer:

Step-by-step explanation: Negatives because a number lower than 0 go like this -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 see? so the answer is Negatives.

The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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Step-by-step explanation:

W=-6, x=1.2, and z=-6/7

(W²x-3)÷10-z

we substitute

((-6²)(1.2)-3)÷10-(-6/7)

((-36)(1.2)-3) ÷10-(-6/7)

(-43.2-3) ÷10(6/7)

(-46.2)÷60/7

-46.2÷60/7

-46.2*7/60

-46.2/1*7/60

-323.4/60

-5.39

Required value of (w²x−3)÷10⋅z when w=−6, x = 1.2, and z=−6/7 is (-4.69)

What is the value of of (w²x−3)÷10⋅z when w=−6, x = 1.2, and z=−6/7 ?

We know,

By BODMAS rule,

B - Bracket

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

We should maintain the following sequence,

Bracket - Of - Division - Multiplication - Addition - Subtraction

We are applying BODMAS rule.

Here,\(( {w}^{2} x - 3) \div 10 . z\) and w=−6, x = 1.2, and z=−6/7

We are putting value of w,x,z in given expression and get

\(( {( - 6)}^{2} \times 1.2 - 3) \div 10 ( - \frac{6}{7} ) \\ = -(36 \times 1.2 - 3) \div \frac{60}{7} \\ = -(43.2 - 3) \div \frac{60}{7} \\ = -40.2 \div \frac{60}{7} \\= -40.2 \times \frac{7}{60} = -4.69\)

Therefore, Required value of the given term is (-4.69)

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Answer:

\(\displaystyle x=\left\{\arcsin\left(\frac{-1+\sqrt{3}}{2}\right), \pi-\arcsin\left(\frac{-1+\sqrt{3}}{2}\right)\right\}\)

Or their approximations:

\(x\approx \left\{0.375, 2.767\right\}\)

Step-by-step explanation:

We are given:

\(\cos(2x)=2\sin(x)\)

And we want to find the solution in [0, 2π).

Recall the double-angle identities for cosine:

\(\begin{aligned} \cos(2x)&=\cos^2(x)-\sin^2(x) \\&=2\cos^2(x)-1\\&=1-2\sin^2(x)\end{aligned}\)

We will use the third version. Hence:

\(1-2\sin^2(x)=2\sin(x)\)

Move all terms to one side:

\(-2\sin^2(x)-2\sin(x)+1=0\)

This is now in quadratic form. For simplicity, let u = sin(x):

\(-2u^2-2u+1=0\)

Solve for u. Simplify:

\(2u^2+2u-1=0\)

By the quadratic formula:

\(\displaystyle u=\frac{-(2)\pm\sqrt{(2)^2-4(2)(-1)}}{2(2)}}\)

Evaluate:

\(\displaystyle u=\frac{-1+\sqrt{3}}{2}\approx 0.366\text{ and } u=\frac{-1-\sqrt{3}}{2}\approx-1.366\)

Note that the second solution is > -1. Hence, we will disregard it. (The range of sine is only -1 ≤ y ≤ 1.)

Back-substitute:

\(\displaystyle \sin(x)=\frac{-1+\sqrt{3}}{2}\)

Since it is approximately 0.366, it will occur twice (once in QI and again in QII. This is because sine is positive only in those two quadrants). Using a calculator:

\(\displaystyle x_1=\arcsin\left(\frac{-1+\sqrt{3}}{2}\right)\approx0.375\)

Using reference angles, the other solution is:

\(\displaystyle x_2=\pi -x_1=\pi -\arcsin\left(\frac{-1+\sqrt{3}}{2}\right) \approx2.767\)

f(x) = 3x² + 5x – 2

g(x) = 5x³ - 4x² + 4

We want to find

(f+g)(x)

We need to add the two functions, making sure to line up the powers of x

f (x) = 3x² + 5x – 2

+g(x) = 5x³ - 4x² + 4

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

(f+g)(x) = 5x³ - x²+ 5x+2

The answer choice is choice D

D. (f+g)(x) = 5x³ - x² + 5x+2

Given,

The number of paper clips used for 9 cm paper is 3.

Consider, the number of paper clips used for 15 cm paper,

By proportionality,

Hence, the number of paper clips used for 15 cm of paper is equal to 5.

Answer:

I believe the correct answer is D

The probability of landing on an  odd number on the spinner and rolling an even number on the die is: 1/3

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The spinner with 9 equally size sections numbered 1 to 9 is spun and a die is tossed.

On the spinner we know that there are 4 sections with odd numbers and 4 sections with even numbers.

On a die, there are 3 faces with even numbers and 3 faces with odd numbers.

The probability of landing on an odd number on the spinner is:

4/9

The probability of rolling an even number on the die is:

3/9 =  1/3

Therefore, the probability of landing on an  odd number on the spinner and rolling an even number on the die is: 1/3

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The maximum amount you can earn is $540

a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.

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The probability of getting the numbers whose product is greater than 10 is 0.73.

Given that there are 10 numbers from which Krishanu and Shanunk choose numbers.

We are required to find the probability that the product of the numbers will be more than 10.

Probability is basically the likeliness of happening an event among all the events possiible.It cannot be negative.

Total outcomes possible=(1,1)(1,2)........(1,10),(2,1),(2,2)................(2,10),(3,1),(3,2).......(3,10),(4,1),(4,2)..........(4,10),(5,1),(5,2)..(5,10),(6,1),(6,2),.............(6,10),(7,1),(7,2),.......(7,10),(8,1),(8,2),...........(8,10),(9,1),(9,2),..............(9,10),(10,1),(10,2)............(10,10).

Combinations that gives the product greater than 10=(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,3),(4,4),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,3),(5,4),(5,5),(5,6),(5,7),(5,8),(5,9),(5,10),(6,2),(6,3),(6,4),(6,5),(6,6),(6,7),(6,8),(6,9),(6,10),(7,2),(7,3),(7,4),(7,5),(7,6),(7,7),(7,8),(7,9),(7,10),(8,2),(8,3),(8,4),(8,5),(8,6),(8,7),(8,8),(8,9),(8,10),(9,2),(9,3),(9,4),(9,5),(9,6),(9,7),(9,8),(9,9),(9,10),(10,2),(10,3),(10,4),(10,5),(10,6),(10,7),(10,8),(10,9),(10,10),

Number of total combinations=10*10=100

Number of combinations that gives product greater than 10=73

Probability of getting the numbers whose product is greater than 10=73/100

=0.73

Hence the probability of getting the numbers whose product is greater than 10 is 0.73.

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The simple interest rate for this loan is 12.4%.

To find the simple interest rate, we can use the formula for simple interest, which is:
Simple Interest = Principal x Rate x Time

In this case, we are given the simple interest (\$496), the principal (\$12,000), and the time (4 months). We can plug these values into the formula and solve for the rate.
\$496 = \$12,000 x Rate x (4/12)

Simplifying the equation, we get:
\$496 = \$4,000 x Rate

Dividing both sides by \$4,000, we get:
Rate = 0.124

To convert this to a percentage and round to one decimal place, we multiply by 100 and round:
Rate = 0.124 x 100 = 12.4%

Therefore, the simple interest rate for this loan is 12.4%.

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The solution to the equation does not exist

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

2x - 3 = 0

2x - 3 = 3

Also from the question, we understand that the graph is given as

3 = 0

The above equation is false, and cannot be represented on a graph

This is so because 0 and 3 do not have the same value

Similarly, we have 2x - 3 = 0 and 2x - 3 = 3

By substitution, the equations becomes

0 = 3

Hence, the equation has no solution

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Complete question

Graph of 3=0

Solve the equation 2x - 3 = 0 and 2x - 3 = 3 graphically

Answer:

i can't see those word very Well am confuse

Step-by-step explanation:

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