Justin is evaluating the expression 12.53.8x, when x is 7.9.
12.5+3.847.9)
16.3(7.9)
128.77
What was Justin's error?
Justin should have multiplied 12.5 and 7.9 first.
Justin should have added 12.5 and 7.9 first.
Justin should have multiplied 3.8 and 7.9 first.
O Justin should have added 3.8 and 7.9 first.

Answer:

30 degrees/ An Acute Angle (If I'm wrong please comment on my answer)

Step-by-step explanation:

Answer:

27 buckets.

Step-by-step explanation:

If we multiply the 9 gallons of paint by the denominator of the number of gallons that fit into one of the buckets we can discover the answer to the question.

Brainliest please.

The length of the actual car is 185 inches given that the scale of the model to the actual car is 1:10, and the model is 18 1/2 inches long.

Given that the scale of the model to the actual car is 1:10, and the model is 18 1/2 inches long, we can find the length of the actual car by multiplying the length of the model by the scale factor:

Length of actual car = Length of model x Scale factor

We can convert the length of the model from inches to the equivalent length in the scale using the following formula:

Length in scale = Length in real life ÷ Scale factor

Substituting the values:

Length in scale = 18.5 ÷ 1/10

= 185/10

= 18.5 x 10

= 185 inches

Therefore, the length of the actual car is 185 inches.

To know more about length visit:

https://brainly.com/question/32060888

#SPJ11

It takes 30 hours using the hose alone to fill the swimming pool.

Step 1: Make denominators the same

Step 2: Add or Subtract the numerators (keeping the denominator the same)

Step 3: Simplify the fraction

To add or subtract unlike fractions, the first step is to make denominators the same so that numerators can be added just like we do for like fractions.

Let \(x\\\) represent the swimming pool be filled with hose alone.

Given that using the pipe alone it takes 12 hours. using both it takes 8 4/7 hours. According to given condition,

\(\frac{1}{x} + \frac{1}{12} = \frac{1}{8\frac{4}{7} } \\\frac{1}{x} = \frac{1}{\frac{60}{7} } - \frac{1}{12}\)

\(\frac{1}{x} = \frac{7}{60} - \frac{1}{12}\\\\ \frac{1}{x} = \frac{7}{60} - \frac{5}{60}\\\\\frac{1}{x} = \frac{2}{60}\\\\ x = \frac{60}{2}\\\\\\ x= 30\)

It takes 30 hours using the hose alone to fill the swimming pool.

To know more about fraction sums, checkout:

https://brainly.com/question/78672

#SPJ4

Step-by-step explanation:

If (x - 5)(2x + 1)(x - 7) = 0,

we have the roots x = -0.5, x = 5 and x = 7.

Since the coefficient of x³ here is positive,

the answer is -0.5 < x < 5 or x > 7.

Answer:  Your anwser is 13.5

Step-by-step explanation:   And how i got it is down here

Flip Equation

-38 - 12x = -200

-12x -38 = -200

Add 38 to both sides

-12x -38 + 38 = -200 + 38

-12x = -162

Divide

-12x/-12 = -162/-12

x = 27/2

Simplify

27/2 = 13 1/2

= 13.5

The preparation of the stockholders' equity statement for the year ended December 31, 2021, is as follows:

Court Casuals

Statement of stockholers' equity

December 31, 2021

Common Stock                        $116,000

Additional Paid-in Capital  $5,326,000

Retained Earnings              $3,677,000

Treasury Stock                         $-2,000

Total stockholders' equity  $9,117,000

The stockholders' equity statement includes the common stock, additional paid-in capital, retained earnings, and the subtraction of the treasury stock.

Court Casuals

Stockholers' equity on January 1, 2021

Common Stock $90,000

Additional Paid-in Capital $4,100,000

Retained Earnings $3,000,000

Net income for the year, 2021, = $900,000

May 18: Cash $1,300,000 Common Stock $26,000 Additional Paid-in Capital $1,274,000 (26,000 x $50 - $26,000)

May 31: Treasury Stock $4,500 Additional Paid-in Capital $175,500 (4,500 x $40 - $4,500) Cash $180,000

Jul 1: Cash Dividend $223,000 (90,000 + 26,000 - 4,500) x $2 Dividends Payable $223,000

July 31: Dividends Payable $223,000 Cash $223,000

August 18: Cash $130,000 Treasury Stock $2,500 Additional Paid-in Capital $127,500 (2,500 x $52 - $2,500)

Statement of Retained Earnings, December 31, 2021:

Beginning balance  $3,000,000

Net income                 $900,000

Dividends                     -223,000

Ending balance        $3,677,000

Beginning balance  $90,000

May 18: Cash              26,000

Ending balance       $116,000

Beginning balance  $4,100,000

May 18: Cash              1,274,000

May 31: Cash                -175,500

August 18: Cash            127,500

Ending balance      $5,326,000

May 31: Cash                 $4,500

August 18: Cash             -2,500

Ending balance            $2,000

Thus, we can summarize from the stockholders' equity that Court Casuals has outstanding shares of 114,000 (116,000 - 2,000) at $1 par, which is the difference between the ending balances of the common stock and the treasury stock accounts, after reflecting the equity transactions for the year.

Learn more about the stockholders' equity statement at https://brainly.com/question/13950797.

#SPJ4

Answer:

328r=332

Step-by-step explanation:

Answer:

r × 328 = 332

Step-by-step explanation:

first, we can write the statement

r times 328 is 332

now, we can replace the word times with a multiplication sign

r × 328 is 332

lastly, we can replace the word is with an equal sign

r × 328 = 332

Hope this Helps!!! :)

Let me know in the comments if it was perfect or if I should change anything!

Answer:

260 ways

Step-by-step explanation:

There are 3 scenarios.

Scenario #1, all colors used are different. A, B, C, and D each have their own individual color.

In this case, there would be 5x4x3x2=120 ways for this to happen.

(Since each color is different, after one is chosen there are only n-1 colors left, hence why it is 5x4x3x2)

Scenario #2, EITHER A&C OR B&D are the same color (Diagonal rectangles share no edges so they share a color).

In this case, there would be 2(5x4x1x3)=120 ways for this to happen. (Since we have two options, either A&C or B&D share a color, we multiply (5x4x1x3) by two to represent both options. Since the diagonal pairs must share one color, if, for example, A's color has been chosen from 5 options, C has only 1 option to choose from because it MUST match A's color)

Scenario #3, BOTH A&C AND B&D are the same color, meaning only 2 colors are used.

In this case, there would be 5x4x1x1=20 ways for this to happen.

(If A is already one color, B must choose a color from the remaining 4 options, C must match A so it has 1 option, similarily D must match B so it also has only 1 option, hence 5x4x1x1)

Now we add up all possible scenarios.

120+120+20=260 ways

The measure of ∠Z1 is 135°. We used parallel lines and transversals to find the answer by recognizing that corresponding angles are equal and that adjacent angles on a straight line sum up to 180°.

In order to find the measure of ∠Z1, we will use the fact that line p is parallel to line q and the properties of parallel lines and transversals. Here's the step-by-step explanation:

1. Extend both lines between the parallel lines p and q, as suggested in the clue. This creates a transversal line intersecting both parallel lines.
2. Identify the given angles: 45° and 30°.
3. Since line p is parallel to line q, the corresponding angles are equal. So, the angle on line q that corresponds to the 45° angle on line p will also be 45°.
4. Now, ∠Z1 and the 45° angle on line q are adjacent angles and together they form a straight angle (180°) because they are on the same side of the transversal and between the parallel lines p and q.
5. To find the measure of ∠Z1, use the straight angle property: ∠Z1 + 45° = 180°.

Solving for ∠Z1, we get:
∠Z1 = 180° - 45° = 135°.

Therefore, the measure of ∠Z1 is 135°. We used parallel lines and transversals to find the answer by recognizing that corresponding angles are equal and that adjacent angles on a straight line sum up to 180°.

Learn more about "parallel lines":

https://brainly.com/question/24607467

#SPJ11

Answer:

About 12 because if he can paint 9 in 15 minutes that means each painting would take about 1.7 minutes.

Answer:

dy/dx= 7- 3x^-1/2

when X=1

dy/dx = 4

as it is a tangent M1=M2=4

now,

at gradient 4 and point (1,1)

equation of curve is ,

y-y1= m(x-x1)

or, y-1=4(x-1)

or, y-1=4x-4

or, y-4x= -3

or, 4x-y=3

Answer:

BRAINLEST ANSWER

Step-by-step explanation:

dy/dx=7-3x^-1/2

when x=1

Dy/dx=4

as it is a tangent M1=M2=4 now

at gradient 4 and point(1,1) equation of a curve is y-y1=m(x-x1)

or y-1=4(x-1)

or y-1=4x-4

or y-4x=-3

or 4x-y=3

The correct statement is: provided that the sample size is reasonably large (for any population).

The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.

These conditions include a random sample from the population and a sufficiently large sample size (typically, n > 30 is considered large enough).

Therefore, the Central Limit Theorem is important because it allows us to make inferences about the population mean using the normal distribution, even if we do not know the population distribution.

This is useful in many applications of statistics, including hypothesis testing, confidence intervals, and estimating population parameters

Learn more about Central Limit Theorem

brainly.com/question/18403552

#SPJ11

Good evening,

Answer:

z=32°

Step-by-step explanation:

54°+94°+z=180° (sum of angle of triangle)

z=180-148

z=32°

Answer:5

Just use a caculator

92124w1322

Answer: should be B

Step-by-step explanation:

A real-world example of how piecewise functions can be used is in:

Modeling electricity pricing, where different rates are said to be used for different usage tiers.

Calculating income tax based on different types of income brackets.

Here, we have,

Piecewise functions are tools that are often used for representing ways where the connection between variables alters under varying intervals or conditions.

To demonstrate the application of piecewise functions, consider the following example such as  calculating taxes on income. where a different nations implement an income tax system that make use of a segmented function to determine tax rates based on various income brackets.

Learn more about   piece wise functions from

brainly.com/question/27262465

#SPJ1

complete question;

What’s a real world example of how piece wise functions can be used?

Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.

A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.

Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.

Learn more about null hypothesis here:

https://brainly.com/question/29387900

#SPJ11

We have counted all the edges in the graph and there are no additional edges, which justifies our answer of 195 edges.

Now, First, let's consider the number of edges in the complete graph formed by the first 16 vertices.

A complete graph of size n has n(n-1)/2 edges.

Therefore, the complete graph formed by the first 16 vertices has,

= (16 x 15)/2

= 120 edges.

Now, let's add the remaining vertices to this graph.

Each of the remaining 5 vertices in V17 - V21 is connected to each vertex in the first 16 vertices, except for the vertices in its own clique.

Therefore, each of the remaining vertices contributes 16-1 = 15 edges to the graph.

This gives us a total of 5×15 = 75 edges.

Therefore, the total number of edges in G is,

120 + 75 = 195.

To justify this answer, we need to show that there are no other edges in G besides the ones we have counted.

Since the graph is formed only by the two cliques and the edges between the cliques, we only need to check if there are any additional edges that connect vertices within the same clique.

However, we know that the first 16 vertices form a complete graph, which means that there are no additional edges that can be added between them.

Similarly, the last 11 vertices form a complete graph, which means that there are no additional edges that can be added between them.

Therefore, we have counted all the edges in the graph and there are no additional edges, which justifies our answer of 195 edges.

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ4

Answer:

14.5

Step-by-step explanation:

Answer:

h(-3) = -1

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

h(x) = -3x - 10

h(-3) is x = -3

Step 2: Evaluate

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129. We can assume a linear growth model on the based of given information.

The given data states that in the year 1985, there were 13 US billionaires. Whereas in 1990, there were 99 US billionaires. We have to find out the formula that predicts the number of US billionaires in any given year (t).

The yearly increase remains constant, so we can consider the formula for the linear function.f(t) = mt + b

where

t is the year and f(t) is the number of US billionaires in that year (t).

m is the slope of the line and b is the y-intercept.

The slope of the line is given by the formula:m = (y₂ - y₁) / (x₂ - x₁)

Let's plug in the given values to find the slope of the line.m = (99 - 13) / (1990 - 1985)m = 86 / 5m = 17.2 .The y-intercept of the line can be found by substituting the values of t and f(t) from any of the given points into the equation of the line.

Let's use the point (1985, 13).f(t) = mt + b => f(1985) =17.2(1985) + b => f(1985) = 34,142 + b =>b = 13 - 34,142 & b = -34,129.

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129

To know more about linear growth model refer here:

https://brainly.com/question/28033207

#SPJ11

(a) We should use t-distribution since the sample size n = 25 is less than 30.

(b) The test statistic value is t = 1.3. The degrees of freedom for the t-distribution is df = n - 1 = 24. Using a t-table or calculator, the p-value for a one-tailed test with t = 1.3 and df = 24 is approximately 0.104.

(c) The significance level is 0.071. Since the p-value (0.104) is greater than the significance level (0.071), we fail to reject the null hypothesis H0: p = 0.55. We do not have enough evidence to conclude that the true proportion is less than 0.55.

Learn more about value here:

https://brainly.com/question/30781415

#SPJ11

Answer:

The slope is -8 :)

Step-by-step explanation:

trust me

Answer:

0.125

Step-by-step explanation:

Simplified:

1/8

Answer:

0.125

Step-by-step explanation:

For a symmetric distribution, the left whisker extends from the median to the minimum value in the dataset.

The left whisker represents the lower values or the lower tail of the distribution. It is also referred to as the "lower whisker" or the "whisker on the left side". The length of the left whisker may vary depending on the spread or range of the data.

In a box plot or box-and-whisker plot, the left whisker represents the lower values or the lower tail of the distribution. It indicates the range of values that lie below the median. The length of the left whisker is determined by the spread or range of the data.

If the data has a smaller range and is more tightly clustered around the median, the left whisker will be shorter. This indicates that the lower values in the dataset are relatively close to the median. On the other hand, if the data has a larger range and is more spread out, the left whisker will be longer. This suggests that the lower values in the dataset are more dispersed or spread out from the median.

To know more about symmetric distribution,

https://brainly.com/question/1531603

#SPJ11

Answer:

The Larger bag contains more trail mix. Why because the larger bag has 10 more ounces than the smaller bag.

We need to first identify the center of the circle.

We see that the coordinate point of the center of the circle is (-1, -2).

The equation of a circle is given with the equation

where h is x, k is y, and r is the radius of the circle.

Therefore, we can plug in the coordinates first to find the h and k of the equation.

Then, we need to determine r.

The circle intersects points (-6, -2) and (4, -2). We can simply subtract the x-coordinates from each other to find the diameter of the circle.

Finally, we know the radius is half of the diameter:

We can plug in the radius into the equation.

Therefore, our final equation is Choice D:

The line integral ∫cf⋅dr, where f(x,y)=yexyi + xexyj and c is r(t)=ti−8tj, 0≤t≤1, is equal to -3e - 8.

To evaluate the line integral, we first need to parameterize the curve c. In this case, we have c(t) = ti - 8tj, 0 ≤ t ≤ 1. We can then calculate dr/dt = i - 8j, and substitute it into the formula for the line integral:

∫cf⋅dr = ∫0^1 f(c(t)) ⋅ (i - 8j) dt

Substituting the function f(x,y) into the integral and evaluating, we get:

∫cf⋅dr = ∫0^1 (t * e^(t(-8))) dt = (-3e - 8)

Therefore, the line integral ∫cf⋅dr, where f(x,y)=yexyi + xexyj and c is r(t)=ti−8tj, 0≤t≤1, is equal to -3e - 8.

For more questions like Function click the link below:

https://brainly.com/question/21145944

#SPJ11