Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Solve the following equation. Then place the correct number in the box provided.

7x/15-1=22

Answer:

6

Step-by-step explanation:

The value of the expression p² + 13 will be A. 29.

It should be noted that the expression given is that p² + 13 and we are told that p = -4.

Therefore, we have to put the value of p into the expression. This will be:

p² + 13

= (-4)² + 13

= 16 + 13.

= 29

The value is 29.

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3a. An equation in slope-point for this line is y + 2 = 1/2(x - 0).

3b. The equation in slope-intercept form is y = 1/2(x) - 2.

4a. An equation in slope-point form to represent this function is y - 3875 = -1/695(x - 19375).

4b. The cost of operating a car that has been driven 31250 km is $3892.086.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

Part 3.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (0 + 2)/(4 - 0)

Slope (m) = 1/2

At data point (0, -2) and a slope of 1/2, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 2 = 1/2(x - 0)

y = 1/2(x) - 2

Part 4a.

Based on the information provided about Jay's business, we would determine the slope of the line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (3900 - 3875)/(2000 - 19375)

Slope (m) = 25/-17375

Slope (m) = -1/695

At data point (19375, 3875) and a slope of -1/695, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 3875 = -1/695(x - 19375)

Part 4b.

For the cost when x = 31250 km, we have:

y - 3875 = -1/695(31250 - 19375)

y = 17.086 + 3875

y = $3892.086.

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The two lines are parallel because they have thesame slope and different y intercept

If two non-vertical lines that are in the same plane has the same slope. However the lines will have different y intercept.

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Therefore putting the equations 15x−6y=−5 and 5x−2y=5 into that form.

15x-6y = -5

-6y = -15x-5

y = 5x/2 +5/6

for the second equation,

5x-2y =5

-2y = -5x-5

y = 5x/2 +5/2

therefore , the two lines are parallel because they have the same slope( 5/2) and different y intercept.

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Answer:

\(-x^3-x^2+x-9\)

Step-by-step explanation:

Distribute -1

Combine Like Terms

\((x^2+2x-4)-(x^3+2x^2+x+5)\\= x^2+2x-4+-x^3-2x-x-5\\= -x^3-x^2+x-9\)

Answer:

\(x^{3} -3x^{2} +x-9\)

Step-by-step explanation:

-x^2+2x-4-(-x^3+2x^2+x+5)

Combine like terms

x^3-3x^2+x-9

Given the following geometric sequence:

We will find a12

We will use the following formula:

where a = the first term = 2

r = the common ratio = -6/2 = -3

To find a12, we will substitute n = 12

So,

So, the answer will be A. -354,294

Yep, it's C. The answer is C

Using simple interest, the amounts she invested are given as follows:

Simple interest is used when there is a single compounding per time period, usually measured in years.

The amount of money after t periods in is modeled by:

A(t) = P(1 + rt)

The interest accrued after t periods is modeled by:

I(t) = Prt

In which:

She had two investments, investing a total of $4500, hence:

\(P_1 + P_2 = 4500\)

The return for the 9% investment exceeds that from the 6% investment by $180, hence:

Then:

\(I_2 = 0.06(4500 - P_1)\)

\(I_1 - 180 = 0.06(4500 - P_1)\)

\(0.09P_1 - 180 = 0.06(4500 - P_1)\)

\(0.15P_1 = 450\)

\(P_1 = \frac{450}{0.15}\)

\(P_1 = 3000\)

Which is the amount invested at 9%, hence the amount invested at 6%, considering that a total of $4,500 was invested, is given by:

4500 - 3000 = $1,500.

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Answer:

2+6=26

Step-by-step explanation:

Answer:

theres a 30% chance that a glazed donut is chosen

Step-by-step explanation:

Answer:

12.48 is the answer

Step-by-step explanation:

have a great day

Answer:

12.48

Step-by-step explanation:

104×12=1248

1248 count to decimals

12.48

Answer:

Step-by-step explanation:

To evaluate 9x³ - 2y³ when x = 2 and y = 5, we simply substitute x = 2 and y = 5 into the expression and simplify:

9x³ - 2y³ = 9(2)³ - 2(5)³

= 9(8) - 2(125)

= 72 - 250

= -178

Therefore, 9x³ - 2y³ evaluated at x = 2 and y = 5 is -178.

Answer:

4 lbs

Step-by-step explanation:

1:4=4:16

16 is bigger than 14

So 4 lbs

This is a case of easement appurtenant

What is easement?

An easement is a nonpossessory right to use and/or enter another's real property without owning it. It is "best shown by a right of way that one landowner, A, may have over the land of another, B." In most countries, an easement is a property right and sort of incorporeal property in and of itself. Real covenants and equitable servitudes are analogous to easements. The Restatement (Third) of Property in the United States attempts to integrate these notions as servitudes. Easements are useful for allowing persons to access other properties or resources by granting access across two [further explanation needed] or more pieces of property.

This is a case of easement appurtenant

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In order to rotate these point 180° about the origin, we just need to change the signal of all coordinates.

So we have that:

Looking at the options, the correct one is c. (the third one).

Answer:

6000 seconds?

Step-by-step explanation:

Answer:

\(\huge\boxed{z=6;\ x=12.5}\)

Step-by-step explanation:

If two figures are similar, then corresponding sides are in proportion.

Therefore:

\(\dfrac{z}{15}=\dfrac{4}{10}\qquad|\text{cross multiply}\\\\10z=(15)(4)\\\\10z=60\qquad|\text{divide both sides by 10}\\\\\boxed{z=6}\)

\(\dfrac{x}{5}=\dfrac{10}{4}\qquad|\text{cross multiply}\\\\4x=(5)(10)\\\\4x=50\qquad|\text{divide both sides by 4}\\\\x=\dfrac{50}{4}\\\\\boxed{x=12.5}\)

The media personality's argument is flawed because they are basing their conclusion on a single year's data and ignoring the overall trend of increasing global temperatures. To counter this argument, one can make the following points:

1. While it is true that the annual increase in temperature may be less than the margin of error, the trend of increasing temperatures over several decades cannot be ignored. The margin of error is a statistical concept that takes into account the uncertainty in the measurement, but it does not negate the overall trend.

2. Global temperature records show that the Earth's temperature has been steadily rising over the past century, with the 10 warmest years on record occurring since 2005. This trend cannot be explained by natural variability alone and is consistent with the effects of human-caused climate change.

3. The consequences of rising global temperatures, such as melting glaciers, rising sea levels, and more frequent extreme weather events, are already being felt around the world. Ignoring this trend could have devastating consequences for future generations.

In summary, the media personality's argument is based on a flawed understanding of statistics and ignores the overall trend of increasing global temperatures. The best counterargument is to highlight the overwhelming evidence of climate change and its potential consequences.

The confidence interval is 0.559 < p < 0.641 and expected value is 0.600

To construct a confidence interval for the true population proportion, we can use the formula:

p ± Z * √((p × (1 - p)) / n)

Where:

p = sample proportion (336/560)

Z = critical value for the desired confidence level

95% confidence = Z-value of approximately 1.96

n = 560

Let's calculate the confidence interval:

p = 336/560 ≈ 0.600

Z ≈ 1.96 (for a 95% confidence level)

n = 560

Plugging these values into the formula:

p ± Z × √((p × (1 - p)) / n)

0.600 ± 1.96 × √((0.600 × (1 - 0.600)) / 560)

0.600 ± 1.96 × √((0.240) / 560)

0.600 ± 1.96 × √(0.0004285714)

0.600 ± 1.96 × 0.020709611

0.600 ± 0.040564459

The confidence interval is:

0.559 < p < 0.641

Therefore, the 95% confidence interval for the true population proportion of adults with children is 0.559 < p < 0.641.

For proportions, the expected value is simply the sample proportion, which is approximately 0.600.

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Answer:

Step-by-step explanation:

Use continuous compound equation:

Answer:

$90.10 (nearest cent)

Step-by-step explanation:

Continuous Compounding Formula

\(\large \text{$ \sf A=Pe^{rt} $}\)

where:

Given values:

Substitute the given values into the formula and solve for A:

\(\implies \sf A=60 \cdot e^{0.045 \cdot 10}\)

\(\implies \sf A=60 \cdot e^{0.45}\)

\(\implies \sf A=60 \cdot 1.56831218...\)

\(\implies \sf A=94.0987311...\)

Therefore, the balance of the account after 10 years is $90.10 (nearest cent).

Answer:

The Highest common factor of 120,140,180 is  ( HCF) = 20

Step-by-step explanation:

Explanation:-

Given numbers  120,140,180

120 = 60 × 2

     = 30 × 2× 2

     = 15 × 2×2×2

    = 5×3× 2×2×2

140 =  70 × 2

      = 10 × 7× 2

      = 5× 2× 7× 2

180 = 90 × 2

      = 30×3×2

     = 5 × 6 × 3× 2

    = 5 × 2× 3× 2 × 3

The Highest common factor of 120,140,180 is   5 ×2×2 = 20

Answer:

Yes, by SSS

Step-by-step explanation:

Answer:

A dashed line

Step-by-step explanation:

Because it is just a less than sign but if it was a less than or equal to it would be a solid line.

Hope That Helped :)    

Answer:

6.5 bags of sugar in each bag

Step-by-step explanation:

Answer:

b = 5

Step-by-step explanation:

All quadratic equations are formed in the format of \(a^{2}\) + bx + c = 0

Using this formula, we can re-arrange the equation to fit the given format.

\(3x^{2}\) - 2 = -5x
\(3x^{2}\) + 5x - 2 = 0

5 is plugged in for "b" in this equation, therefore b = 5.

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The number of times both spins will be even numbers in 200 spins is (b) 50

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

Sections on the spinner = 1, 2, 3, 4, 5, and 6

Also, from the question;

We have the following statement

The theoretical probability of both spins being even numbers is 9 over 36.

This means that

P(Both even) = 9/36

Lastly, we have

Times of experiment = 200

So, we have

Outcomes of both even = P(Both even) * Times of experiment

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

Outcomes of both odd =9/36 * 200

Evaluate

Outcomes of both odd = 50

Hence, the outcomes is (b) 50

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The evaluation of the statements with regards to the graph of a function are;

A function maps an input value to an output based on a definition or rule.

First part of the statement;

The graph of a non-vertical straight line has a range of values for the slope, m, of 0 ≤ m < ∞

The equation of a straight line function is of the form; y = m·x + c

Therefore;

The graph of a non-vertical straight line can be represented by the equation, y = m·x + c, where y has possible values of; -∞ < y < ∞, which indicates that as x increases or decreases, y increases (or decreases), such that each value of x maps unto only one value of y, which indicates that the graph is a function. The statement is therefore true.

Second part of the statement.

The graph of the quadratic function; y = a·x² + b·x + c has a shape of a parabola, therefore, the statement, the graph of a function is not always a straight line is true also.

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