Answer:
Surface area add together all 6 sides = 24+36+108=168m^2
Volume L x W x D = 2 x 6 x 9 = 108 m ^3
Step-by-step explanation:
2 x 6 = 12
12 x 2 = 24 base and top
2 x 9 = 18
2 x 18 = 36 identical pair sides
6 x 9 = 54
2 x 54 = 108 identical pair sides
Surface area add together all 6 sides = 24+36+108=168m^2
Volume L x W x D = 2 x 6 x 9 = 108 m ^3
C
What is the equation of the line that is parallel to the line y - 1 = 4(x + 3) and passes through the point (4, 32)?
SER
O y=-*x+33
y=-*x+36
O y =
O y = 4x - 16
O y = 4x + 16
Mark this and retum
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9514 1404 393
Answer:
y = 4x + 16
Step-by-step explanation:
You can replace the point coordinates in the given point-slope form to get ...
y - 32 = 4(x -4)
Then rearrange to put this into slope-intercept form.
y = 4x -16 +32 . . . . eliminate parentheses, add 32
y = 4x +16 . . . . . . . . simplify
Karissa purchased a set of LED lights online that normally sells for $90 but was marked down to $67.60 what is the discount rate karissa received
The discount rate Karissa received is 12% discount.
What is discount rate?In a discounted cash flow (DCF) analysis, the interest rate used to calculate the present value of future cash flows is known as the discount rate. This aids in determining if the present-day capital outlay required to fund a project or investment will be greater than the value of the projected future cash flows from that project or investment.
The WACC and adjusted present value are the two main formulas for calculating the discount rate (APV).
WACC = E/V x Ce + D/V x Cd x (1-T) is the formula for the WACC discount, and
APV = NPV + PV of the impact of financing is the formula for the APV discount.
Take the change in price
65 - 57.20 =7.80
And divide by the original price
7.80/65=.12
Change to percent form
12%
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In one particular month, a person has a balance of
$
3,260 on their credit card for 10 days. They then make a purchase and carry a balance of
$
4,420 for the next 8 days. Then this person makes a payment and carries a balance of
$
2,480 for the remaining 13 days in the month.
What is their average daily balance rounded to the nearest cent?
The daily average balance is $\(3,231.61\) (rounded to the closest penny).
What does balance mean financially?With banking & accounting, the balance refers to the sum outstanding on an accounts. The term "balance" in accounting means the disparity between the total of debit and the total of credit entries made into an account over the course of a certain financial period.
Why is life's balance so crucial?Guarantees health: Your development depends on both your physical and emotional health, which also has an impact on your family's general wellbeing. Finding balance assures your personal progress, mental tranquilly, and wellbeing while assisting you in living a happy and comfortable life.
average daily balance \(=\) \((balance1 * days1 + balance2 * days2 + balance3 * days3) / total days\)
\(balance1 = 3,260\)
\(days1 = 10\)
\(balance2 = 4,420\)
\(days2 = 8\)
\(balance3 = 2,480\)
\(days3 = 13\)
\(total days = 31\)
Using the formula, we get:
average daily balance \(= (3,260 * 10 + 4,420 * 8 + 2,480 * 13) / 31\)
average daily balance \(= (32,600 + 35,360 + 32,240) / 31\)
average daily balance \(= 100,200 / 31\)
average daily balance \(= 3,231.61\)
Therefore, the average daily balance rounded to the nearest cent is $\(3,231.61\).
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You win $7,500 at month 40. Can you fully pay off either car? Explain.
in order to figure out if we can pay the car, we need to know how much it costs.
Step-by-step explanation:
There needs to be more explanation for people to help you, maybe tou can send a picture so someone can help you.
2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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A 60 foot ladder needs to reach a window that is 47 feet off the ground. How far away, to the nearest foot, from the building should the base of the ladder be placed?
A 5 feet
В 13 feet
C 37 feet
D 81 feet
Hello! :)
\(\large\boxed{\text{C. 37 Feet}}\)
To solve for the distance from the building, we can use the Pythagorean theorem where:
c = length of ladder (Hypotenuse)
a = height of window
b = distance from building
Plug in the given values into the equation c² = a² + b²
60² = 47² + b²
Simplify:
3600 = 2209 + b²
Subtract both sides by 2209:
1391 = b²
Square root both sides:
b = √1391 ≈37.296. The correct answer is C.
Find the area of the parallelogram.
A. 35 cm2
B. 42 cm2
C. 12 cm2
D. 24 cm2
Answer:
35 cm²
Step-by-step explanation:
This is because the formula of the area of a parallelogram is;
area = (base) x (height)
since the base is 5, and the height is 7;
area = (5) x (7)
area = 35
Hope this helps!
Answer:
\(\boxed{\sf{A. \quad 35cm^2}}\)Step-by-step explanation:
The formula of area of the parallelogram is used to find the area of the parallelogram.
Area of the parallelogram formula:
\(\Longrightarrow: \sf{A=B*H}\)
B stands for "base".
H stands for "height".
The base is 5.The height is 7.Multiply.
Solve.
5*7=35
= 35cm²
Therefore, the area of the parallelogram is 35cm², which is our answer.I hope this helps! Let me know if you have any questions.
Solve the inequality 19
Answer:
nsnsuieieiwiwiweuejjeejeje
−0.22+�−0.33−0.22x+x−0.33x?
The answer to the equation −0.22x + x − 0.33x is 0.11x.
The answer is 0.11x. To solve this, we can start by rearranging the terms of the equation. The equation can be written as:
−0.22x + x − 0.33x = −0.22 + 0.33x
We then subtract x from both sides of the equation, resulting in:
−0.22x − x = −0.22 + 0.33x − x
We then combine like terms on the left side of the equation, resulting in:
−1.22x = −0.55
Finally, we divide both sides of the equation by -1.22 to solve for x, resulting in:
x = 0.11
Therefore, the answer is 0.11x.
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Complete question
What is the value of -0.22+−0.33−0.22x+x−0.33x?
If 37% of high school students said that they exercise regularly, find the probability that 5 randomly selected high school students will say that they exercise regularly. Would you consider this event likely or unlikely to occur?
Very unlikely to occur
1) In this problem, let's find the binomial probability of that event to take place.
\(\begin{gathered} P(X=5)=\binom{5}{5}(0.37)^5(1-0.37)^{5-5}= \\ P(X=5)=1\cdot(0.37)^5(1-0.37)^{5-5}= \\ P(X=5)=0.37^5\mleft(0.63\mright)^{5-5} \\ P(X=5)=0.0069343957 \end{gathered}\)2) Note the binomial probability of that event happening is very very low.
3) So we can state that this event is very unlikely to occur
The point G(-5, -4) is translated 1 unit left. What are the coordinates of the resulting point, G′?
Shelly is searching online for airline tickets. Two weeks ago, the cost to fly from Denver to Orlando was $220. Now the cost is $360. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answer:
38,61 percent
Step-by-step explanation:
Answer:
86.37%
Step-by-step explanation:
360+50=410
410-220=190
190÷220×100%
≈86.37%
50 POINTS Which polynomial is a quartic trinomial?
Step-by-step explanation:
The first choice is a quartic trinomial
again assuming a transformation from f(t) = –6t2, what does the term 82.14 do to the rocket's graph? what does the value h(t) = 82.14 represent in the science project? (what is happening to the rocket? ) (2 points)
Assuming a transformation from f(t) = -6t², multiplying by 82.14 would result in a vertical stretch of the graph. Specifically, it would stretch the graph vertically by a factor of 82.14, making the rocket travel much higher than before.
What is trajectory?Trajectory refers to the path that an object takes as it moves through space. In physics, trajectory is often used to describe the path of a projectile, which is an object that is launched into the air and moves under the influence of gravity alone.
The value h(t) = 82.14 represents the maximum height reached by the rocket during its flight. This value is obtained by multiplying the maximum height reached by the rocket (which can be found by solving f(t) = 0 to get the time when the rocket reaches its highest point) by the scaling factor of 82.14. So, the rocket is traveling very high, and h(t) represents the peak height of the rocket's trajectory.
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1)
What is the inverse of f(x)=3/5(x-4)?
Answer:
y = 5/3 x + 4
Step-by-step explanation:
To find the inverse, interchange the x and y variables and solve for y. (that might sound a bit confusing, but don't worry! :)
Our current function is f(x) = 3/5 (x-4). Let's make f(x) = y, so the function is y = 3/5 (x - 4).
Now, switch the x and y variables. x = 3/5 (y - 4).
Now, just solve for y!
x = 3/5 y - 12/5
5x = 3y - 12
5x + 12 = 3y
3y = 5x + 12
y = 5/3 x + 4
hope this helps! <3
Given IQ scores are approximately normally distributed with a mean of 100 and a standard deviation of 15, the proportion of people with IQs above 130 is
The proportion of people with IQs above 130 is 2.3%.
How to calculate the value?Normal distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
Here the mean is 100 and a standard deviation of 15.
µ = 100, σ = 15
P(X > 130) =
= P( (X-µ)/σ > (130-100)/15)
= P(z > 2)
= 1 - P(z < 2)
Using excel function:
= 1 - NORM.S.DIST(2, 1)
= 0.023 = 2.3%
The value is 2.3%.
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I got a positive 13 instead of a -13 which is the correct answer. What did i do wrong?
The answer is -13
After you add the -13 to both sides, you end up with:
-n = 13
When you rewrote the problem, you got rid of the negative sign on the n variable, making it positive. If you kept the negative sign, you end up with -13 as a final result because you need to find n, not negative n.
Thus,
n = -13
Summary:
Your mistake was that you got rid of the negative sign on the n, changing the problem's answer.
:)
Answer:
You seemed to have forgotten the negative in front of the \(n\)
Step-by-step explanation:
You seemed to have forgotten the negative in front of the \(n\\\)
\(-13-n=0\)
Move negative thirteen to the other side
\(-n=13\)
Divide by negative one
\(n=-13\)
What is Geometry?A new year has started and I need ur help
Geometry is the mathematical study of points, lines, angles, sufraces, solids and shapes and their properties.
Hello could you please help me with this problem. Write and equation in standard form of the line that passes through (2,-3) and (-3,7).
Given:
point (2,-3) and (-3,7)
First, solve for the slope of the line
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{substitute} \\ (x_1,y_1)=(2,-3) \\ (x_2,y_2)=(-3,7) \\ \\ m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{7-(-3)}{-3-2} \\ m=\frac{7+3}{-5} \\ m=\frac{10}{-5} \\ m=-2 \end{gathered}\)Now that we have solved for the slope, substitute it to the slope-intercept form y = mx + b to find the y-intercept. Use the point (2,-3) but using (-3,7) works just as well.
\(\begin{gathered} y=mx+b \\ -3=(-2)(2)+b \\ -3=-4+b \\ -3+4=b \\ b=1 \end{gathered}\)The slope intercept form of the line is
\(y=-2x+1\)Rearrange it to follow the standard form Ax + By = C, and we have
\(\begin{gathered} y=-2x+1 \\ y+2x=-2x+2x+1 \\ 2x+y=\cancel{-2x+2x}+1 \\ \\ \text{The equation of the line that passes through (2,-3) and (-3,7) in standard form is} \\ 2x+y=1 \end{gathered}\)need help with some khan academy stuff
Answer:
2.2 % per minute
35 minutes
Step-by-step explanation:
(0,23%) and (30, 89%)
We can find the slope
m = ( y2-y1)/(x2-x1)
= (89-23)/(30-0)
66/30
=2.2 % per minute
To get to full change we need 100-23 = 77 %
77% * 1 minute/ 2.2 % =35 minutes
what is 2,400000000000000000000000000000000000000000* 11111111111111111111110000000000000000000002222222222222222222444444444
Answer:
Step-by-step explanation:
Answer:
2.6666667e+70
Step-by-step explanation: C A L C U L A T O R
round 9.17302 to the nearest thousandths tenths and nearest unit
Answer:
170000
Step-by-step explanation:
17000
7. Which of the following equations are
equivalent to y = -3(x - 2) + 4? Circle all
that apply.
A. y = -3x + 2
C. y = -3x + 10
B. y = --3x - 2
D. y = -2 - 3x
E. 6x + 2y = 20
F. 6x – 2y = -20
3,998-(-7)= can you please help me with this problem
Answer:
4005
Step-by-step explanation:
3,998 - (-7) = ?
Two negative signs will make a positive sign.
3,998 - (-7) = 3998 + 7 = 4005
So, the answer is 4005
Suppose corn chips cost 21.5 cents per ounce . If a bag cost $2.91, how many ounces of chips
Answer:
13 ounces
Step-by-step explanation:
291/21.5=13.5348837209
Please help I’m stuck and keep getting the wrong answer
The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42
A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.
The six o'clock position on the Ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 2 minutes.
We have to find how many minutes of the ride are spent higher than 26 meters above the ground.
So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters
So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)
Also, the height of a person at the lowest point = 4 - 15 = -11 meters
Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.
So, the total distance travelled will be = 19 + 11 = 30 meters.
Also, we are given that the wheel completes 1 full revolution in 2 minutes.
We need to calculate the time spent higher than 26 meters above the ground.
So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.
This angle can be calculated as follows:
Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees
Angle = 30 / (pi * 30) * 360 degrees
Angle = 360 degrees / pi
= 114.59 degrees
So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.
Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.
This can be calculated as follows:
Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken
Time = (180 - 114.59) / 360 * 2 minutes
Time = 0.42 minutes
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ASAP!!! Answer the following include all steps
Question 1:
(a) The equation representing Elaine's total parking cost is:
C = x * t
(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.
Question 2:
The given system of equations is inconsistent and has no solution.
(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.
(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):
C = x * 24
Question 2:
To solve the linear system:
-x - 6y = 5
x + y = 10
We can use the elimination method.
Multiply the second equation by -1 to create opposites of the x terms:
-x - 6y = 5
-x - y = -10
Add the two equations together to eliminate the x term:
(-x - 6y) + (-x - y) = 5 + (-10)
-2x - 7y = -5
Now we have a new equation:
-2x - 7y = -5
To check the answer, we can substitute the values of x and y back into the original equations:
From the second equation:
x + y = 10
Substituting y = 3 into the equation:
x + 3 = 10
x = 10 - 3
x = 7
Checking the first equation:
-x - 6y = 5
Substituting x = 7 and y = 3:
-(7) - 6(3) = 5
-7 - 18 = 5
-25 = 5
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As a construction manager, you are asked to build a new road, which crosses the point (1,1). There is another road already built, which can be expressed as y=3x−1. You are asked to build your road such that it crosses this road at a perpendicular angle. Find the equation of your road. Leave answer as a fraction or mixed number if needed.
Hence, in answering the stated questiοn, we may say that We knοw they equatiοn are perpendicular tο each οther since the prοduct οf their slοpes equals -1.
What is equatiοn?A math equatiοn is a methοd that links twο claims and represents equivalence using the equals sign (=). An equatiοn is a mathematical statement that establishes the equivalence οf twο mathematical expressiοns in algebra. In the equatiοn 3x + 5 = 14, fοr example, the equal sign separates the numbers 3x + 5 and 14. A mathematical fοrmula may be used tο describe the relatiοnship between the twο sentences οn οppοsite sides οf a letter. In usually, the lοgο and the prοgramme are the same. Fοr instance, 2x - 4 equals 2.
The οld rοad has a slοpe οf 3, hence the new rοad will have a slοpe οf -1/3.
Let's name the new rοad's equatiοn y = mx + b, where m is the slοpe and b is the y-intercept.
We knοw that the new rοad must gο past pοint (1,1), therefοre
1 = (-1/3)(1) + b
b = 4/3
y = (-1/3)x + 4/3
We may cοmpute the prοduct οf their slοpes tο ensure that this new rοad crοsses the current rοad at a perpendicular angle.
Because the new rοad's slοpe is -1/3 and the present rοad's slοpe is 3, their prοduct is:
(-1/3) * 3 = -1
We knοw they are perpendicular tο each οther since the prοduct οf their slοpes equals -1.
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There are a total of 950 boxes of shoes at a store. • Half of the boxes contain athletic shoes. • Another 125 boxes contain dress shoes. • Of the remaining boxes of shoes, 4 out of 5 boxes contain sandals. Based on the expression below, how many boxes at the store contain sandals? 4(950 ÷ 2 − 125) ÷ 5
Answer: 355
Step-by-step explanation:
Hope this helps !
Supervisor: "I see that 1000 calls were sent to your extension this month. 15% of those calls were not answered, which means that you did not answer __________ calls this month."
Step-by-step explanation:
850 calls
1000:100=10
1%=10
10×85=850
Discount is the reduction in value. The total number of calls not answered this is 150 calls
Discount and percentagesGiven the following
Total number of calls = 1000 calls
If 15% of those calls were not answered, the total calls that were not answered is given as:
Total call not answered . = 0.15 * 1000
Total call not answered = 150 calls
Hence the total number of calls not answered this is 150 calls
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