Step-by-step explanation:
8 + 12
20
4 - 6 × 2 + 5
use pemdas
4 - 12 + 5
-8 + 5
-3
20:-3
focus on one side at a time
Adriana worked 38 hours last week. Her job pays $12 an hour. How much did she earn last week?
Multiply the hours by how much she makes per hour.
38 * 12 = $456
Therefore, she made $456 last week.
Best of Luck!
Troy uses colored sand to make sand art. The storage container for his sand is shaped like a right square prism. He pours some of the sand into a display container shaped like a right triangular prism. When he is done, the height of the sand left in the storage container is 4 in. What is the height of the sand in the display container?
The height of the sand in the display container is 12 inches when the display container is right triangular prism.
What is right triangular prism ?
A right triangular prism is a three-dimensional geometric shape with two parallel triangular bases and three rectangular faces. The rectangular faces connect the corresponding vertices of the triangular bases.
To find the height of the sand in the display container, we need to use the fact that the volume of sand in the storage container is equal to the volume of sand in the display container.
The storage container has a length, width, and height of 6 inch, 6 inch, and 6inche, respectively. Then, the volume of the storage container is:
\(V_{storage} = L * W * H = 6 * 6 * 6 = 216 inch^3\)
Similarly, let's assume that the display container has a base of length 4 inch and height 9 inches and height of sand be H.
Then, the volume of the display container is:
\(V_{display} = (1/2) * b * h * H = (1/2) * 4 * 9 * H = 18H\)
where (1/2) is the area of the triangle base of the display container.
Since the volumes of sand in both containers are equal, we can set these expressions equal to each other and solve for h:
216 = 18H
H = 12 inches
Therefore, the height of the sand in the display container is 12 inches.
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Please explain your answer. Will mark Brainliest (question 9)
The initial investment of the function is 20 dollars.
The rate growth in percentage is 4%.
The investment after 10 years is 29.6 dollars.
How to solve function?The function \(y=20(1.04)^{t}\) represents the value y of a saving account after t years.
Therefore, the initial investment of the function is 20 dollars.
The rate growth in percentage can be calculated as follows;
rate growth in percent = 0.04 × 100
rate growth in percent = 4 %
Let's find the value of the investment after 10 years.
Therefore,
\(y=20(1.04)^{t}\)
t = 10
\(y=20(1.04)^{10}\)
\(y=20(1.48024428492)\)
y = 29.6048856984
Therefore, the investment after 10 years is as follows:
y = 29.6 dollars
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You are given the great circle of a sphere is a length of 25 miles. What is the volume of the sphere
The volume of the sphere is approximately 3431.82 cubic miles.
To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.
In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.
C = 2πr
60 = 2πr
Divide both sides of the equation by 2π:
r = 60 / (2π)
r = 30 / π
Now that we have the radius, we can use the formula for the volume of a sphere:
V = (4/3)πr³
V = (4/3)π(30/π)³
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)(27000/π²)
V = (4/3)(27000/9.87) (approximating π to 3.14)
V ≈ 3431.82 cubic miles
Therefore, the volume of the sphere is approximately 3431.82 cubic miles.
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Question
You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?
Which ray opposite of DE
Answer:
DA
Step-by-step explanation:
DE is at the very end of the line facing right. DA goes the opposite way and connects to DE
Answer:
DA
Step-by-step explanation:
The opposite means going the opposite direction
What is -6+x-3 if x=2
Answer:
-7Step-by-step explanation:
\(-6+x-3 \\x =2\\\\-6+2-3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:\\-6+2=-4\\\\=-4-3\\\\=-7\)
Answer:
-7
Step-by-step explanation:
So we have the expression:
\(-6+x-3\)
And we want to evaluate it when x is 2.
So, substitute in 2 for x:
\(=-6+(2)-3\)
Add the first two terms:
\(=-4-3\)
Subtract:
\(=-7\)
And that's our answer :)
A spinner with 7 equally sized slices is shown below. (5 slices are red, 1 is blue, and 1 is yellow.) The dial is spun and stops on a slice at random. What are the odds in favor of landing on a red slice?
Since the spinner has 7 equally sized slices, then the probability of the dial landing on a red slice is:
\(p=\frac{5}{7}\Rightarrow p=0.7142857143...\)So, the odds of it landing on a red slice are approximately 71.4%.
that is:
\(5:7\)
Solve 8x - 2(x + 1) = 7x + 8.
The answer is
X = -10
Apologies though, I am not good at explaining.
quadratic regression for (1,-8) (2,-4) (3,6)
The quadratic regressiοn equatiοn fοr the given data pοints is y = 5x² - 20x + 7
What is quadratic equatiοn?
A secοnd-degree equatiοn οf the fοrm ax² + bx + c = 0 is knοwn as a quadratic equatiοn in mathematics. Here, x is the variable, c is the cοnstant term, and a and b are the cοefficients.
Tο find the quadratic regressiοn equatiοn fοr the given data pοints, we need tο fit a quadratic equatiοn οf the fοrm y = ax² + bx + c tο the data.
We can start by using the three given pοints tο set up a system οf three equatiοns:
\((1,-8): a(1)^2 + b(1) + c = -8\\\\(2,-4): a(2)^2 + b(2) + c = -4\\\\(3,6): a(3)^2 + b(3) + c = 6\)
SimpIifying each equatiοn, we get:
a + b + c = -8 (equatiοn 1)
4a + 2b + c = -4 (equatiοn 2)
9a + 3b + c = 6 (equatiοn 3)
AIternativeIy, we can use technοIοgy such as a caIcuIatοr οr spreadsheet tο sοIve the system.
SοIving the system using technοIοgy, we get:
a = 5
b = -20
c = 7
Therefοre, the quadratic regressiοn equatiοn fοr the given data pοints is:
y = 5x² - 20x + 7
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A bag contains 36 red blocks, 49 green blocks, 23 yellow blocks, and 17 purples blocks. You pick one block from the bag at random. Find the indicated theoretical probability P(red or purple)
Solution:
Given that
\(\begin{gathered} number\text{ of red blocks}\Rightarrow36 \\ number\text{ of green blocks}\Rightarrow49 \\ number\text{ of yellow blocks}\Rightarrow23 \\ number\text{ of purple blocks}\Rightarrow17 \\ Total\text{ numbr of blocks}\Rightarrow125 \end{gathered}\)The probability of an event is expressed as
\(Pr(event)=\frac{number\text{ of desired outcome}}{total\text{ nu,ber of possible outcome}}\)In this case, the total number of possible outcome equals 125.
Step 1: Evaluate the probability of picking a red block.
Thus,
\(\begin{gathered} Pr(red)=\frac{number\text{ of red blocks}}{total\text{ numbr of blocks}} \\ =\frac{36}{125} \end{gathered}\)Step 2: Evaluate the probability of picking a purple block.
Thus,
\(\begin{gathered} Pr(purple)=\frac{number\text{ of purple blocks}}{total\text{ number of blocks}} \\ =\frac{17}{125} \end{gathered}\)Step 3: Evaluate the probability of picking a red or purple block.
The probability of picking a red or purple block is expressed as
\(Pr(red\text{ or Purple\rparen=Pr\lparen red\rparen+Pr\lparen purple\rparen}\)Thus, we have
\(\begin{gathered} Pr(red\text{ or purple\rparen=}\frac{36}{125}+\frac{17}{125} \\ \Rightarrow Pr(red\text{ or purple\rparen=}\frac{53}{125} \end{gathered}\)Hence, we have the theoretical probability P(red or purple) to be
\(\frac{53}{125}\)What number lies exactly halfway between 1/5 and 1/9?
Answer:
7/45
Step-by-step explanation:
What number lies exactly halfway between 1/5 and 1/9?
you have to find the mean of the two fractions, adding and then dividing by two
(1/5 + 1/9) : 2 =
14/45 : 2 =
7/45
Given the equation
a. List the zero(s) of multiplicity
b. List the solutions in order from least to greatest separated by commas with no spaces
Answer:
Step-by-step explanation:
let c(t) be the number of customers in a restaurant t hours after 8 a.m. c(0)=0
The expression c(0) = 0 means that there was no customers in the restaurant at 8 a.m.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let c(t) represent the number of customer present at the restaurant t hours after 8 a.m.
Hence, the expression c(0) = 0 means that there was no customers in the restaurant at 8 a.m.
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party trays, which cost $14.00 to make not including labor, are sold for $35.00. if two people work 8 hour shifts making the trays at $7.00 per hour, how many trays must be sold to cover all cost including labor?
Answer:
I think its $76
Step-by-step explanation:
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3 batteries cost $5r and 8 folders cost $2r. Jason bought6 batteries and 4 folders. How much does he pay?Give your answer in terms of the
We are asked to determine the total amount paid for 6 batteries and 4 folders. To do that we need to determine the unit price of each item. We do that by dividing the amount spent by the number of items that were bought. That is:
\(\begin{gathered} n_b=\frac{5\text{ dollars}}{3\text{ batteries}} \\ \\ n_f=\frac{2\text{ dollars}}{8\text{ folders}} \end{gathered}\)Now we multiply the desired number of items by each of the corresponding unit prices:
\(N=\frac{5}{3}\times6+\frac{2}{8}\times4\)Solving the operations:
\(\begin{gathered} N=10+1 \\ N=11 \end{gathered}\)Therefore, the total amount paid is $11.
How many real and complex roots exist for the polynomial
F(x)= x³ +2x² + 4x+8 ?
OA. 2 real roots and 1 complex root
OB. 1 real root and 2 complex roots
C. 3 real roots and 0 complex roots
D. 0 real roots and 3 complex roots
The roots of the function F(x) = x³ + 2x² + 4x + 8 are given as follows:
B. 1 real root and 2 complex roots.
How to identify the zeros of the function?The function in this problem is defined as follows:
F(x) = x³ + 2x² + 4x + 8.
The function is of the third degree, hence the total number of zeros of the function is of 3.
From the graph, the function has only one x-intercept, which is given as follows:
x = -2.
Hence the two remaining roots are the complex roots, meaning that option B is the correct option for this problem.
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Find Trig Ratios (with Radicals)
Answer:
the answer is 45 + 5-75 is equals to 30 +5
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
A. \(f(x) = -3(x +2)^2-2\)
Step-by-step explanation:
There is a -3 being multiplied, making the function on the graph narrower from the original. The -3 also makes the function flip over the x-axis, since it's negative. There is also a 2 being added in (x + 2), meaning that it shifts left by 2 units. There is a -2, meaning that the function shifts 2 units down the graph.
Based on the information that applies to this function, this is the only function that represents f(x) on the graph given.
For Mean = 73.19, Mode = 79.56 and Variance = 16, the Karl Pearson's Coefficient of Skewness will be -0.0256 -1.64 0.0256 0
Answer:
To calculate Karl Pearson's coefficient of skewness, we need to use the formula:
Skewness = 3 * (Mean - Mode) / Standard Deviation
Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.
Standard Deviation = √Variance = √16 = 4
Now we can substitute the values into the formula:
Skewness = 3 * (73.19 - 79.56) / 4
Skewness = -6.37 / 4
Skewness = -1.5925
Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.
The distance, in feet, two boys travel per second on a treadmill is shown to the left. Which comparison is accurate?
Xavier is traveling at 1.5 feet per second.
Moises is going faster than Xavier.
The difference in their rates of change is 1 foot per second.
If both boys remain on the treadmill for 10 minutes, Xavier will have traveled a greater distance. (a straight up answer)
Answer:
Step-by-step explanation:
D is correct
Answer: D
Step-by-step explanation:
Operating data for Lily Corporation are presented as follows.
Net sales
Cost of goods sold
Selling expenses
Administrative expenses
Income tax expense
Net income
2022
$748,000
468,996
120,428
64,328
29,172
65,076
2021
$605,000
392,040
70,785
50,215
20,570
71,390
4
Prepare a schedule showing a vertical analysis for 2022 and 2021. (Round answers to 1 decimal place, e.g. 48.5%.)
Review the graph.
On a coordinate plane, a circle has center (4, 0) and radius 4. Another circle has center (2, negative 3) and radius 6. The area inside of the first circle and outside of the second circle between the 2 circles is shaded.
Which system of inequalities is shown in the graph?
36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
Answer:
36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²
Step-by-step explanation:
This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.
compute the least-square regression line for predicting the 2016 budget from 2006
The linear function that predicts the 2016 budget from 2006 is given as follows:
y = 5.9x + 1075.
How to define the linear function?
The definition of a linear function is presented by the rule as follows:
y = mx + b.
In which the terms of the function are listed as follows:
m is the slope of the function, which is the yearly change of the budget.b is the y-intercept, which is the budget in 2016.From the image given at the end of the answer, the budgets for each year are given as follows:
2006: 460 + 247 + 142 + 124 + 95 + 2 + 5 = 1075.2016: 445 + 237 + 148 + 148 + 147 + 3 + 6 = 1134.From the 2006 amount, the intercept is of:
b = 1075.
Considering the 2016 amount, the slope is given by:
m = (1134 - 1075)/10 = 5.9.
Hence the function is:
y = 5.9x + 1075.
Missing InformationThe budgets are given by the image shown at the end of the answer.
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i really need help!!!!!
there are like 5 questions.
Answer:
3
Step-by-step explanation:
The answer is three because u need to simply the fractions
Arrange the steps in order to simplify the expression
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
What is the solution for x in the equation?
Step-by-step explanation:
option C
hope it helps
thank you
If h represents hours and w represents wage , then how much more does steph earn per hour than marco
Stephanie earns $1.5 per hour more than what Marco earns.
Linear equationLinear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the y intercept.
Let w represent the wages after h hours.
From the table using the points:
(15, 157.5) and (24, 252)The rate of change (m) for Stephanie is:
\(m=\frac{y_2-y_1}{x_2-x_1} =\frac{252-157.5}{24-15} =10.5\)This means that Stephanie earn $10.5 per hour.
From the equation: w = 9h, Marco earns $9 per hour
Hence, Stephanie earns $1.5 per hour more than what Marco earns.
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Using the income statement below, calculate the following profitability ratios for Western Bookkeeping and Tax Service. Assume that stockholder's equity equals $441,600 and total assets equal $640,000.
Profit margin ratio
Return on equity ratio
Asset turnover ratio
Write the profit margin and return on equity ratios as a percent, rounded to the nearest percent. Write the asset turnover ratio as a decimal, rounded to two decimal places.
The computation of the profitability ratios for Western Bookkeeping and Tax Service is as follows:
Profit margin ratio = 8%Return on equity ratio = 8%Asset turnover ratio = 0.75.What are profitability ratios?Profitability ratios are the financial ratios that evaluate an entity's ability to convert its earnings (revenue) into profit versus different criteria.
Some of the common profitability ratios include:
Gross Profit MarginOperating Income RatioNet Income RatioReturn on Investment (ROI)Return on EquityReturn on Total AssetsAsset turnover RatioEarnings per share.Stockholders' equity = $442,600
Total assets = $640,000
Net sales = $480,000
Net income = $36,000
Profit margin ratio = Net income/Net Sales x 100
= $36,000/$480,000 x 100
= 7.5%
= 8%
Return on equity ratio = Net income/Shareholders' Equity x 100
= $36,000/$442,600 x 100
= 8.13%
= 8%
Asset turnover ratio = Net Sales/Total Assets
= $480,000/$640,000
= 0.75
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For each of the number lines, write an absolute value equation that has the solution set -4 and -8
The absolute value equation that has the solution set is |x + 6| = 2
How to write the absolute value equation that has the solution setFrom the question, we have the following parameters that can be used in our computation:
Solution set = -4 and -8
The midpoint of the above solution is
c = (-4 - 8)/2
So, we have
c = -6
So, we have
|x + 6| = d
Using any of the points, we have
|-4 + 6| = d
Evaluate
d = 2
So, we have
|x + 6| = 2
Hence, the absolute value equation that has the solution set is |x + 6| = 2
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find the range of this equation
The range of the given equation is [-1, infinity).
We are given that;
Equation y= underroot(x+5)
Now,
The domain of this equation is the set of x values that make the expression under the square root non-negative.
That is, x+5 >= 0, or x >= -5. So the domain is [-5, infinity).
The range of this equation is the set of y values that are obtained by plugging in the domain values into the equation. Since the square root function is always non-negative, and we are subtracting 1 from it, the smallest possible value of y is -1, when x = -5. As x increases, y also increases, and there is no upper bound for y.
Therefore, by the range the answer will be [-1, infinity).
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