The statement that best describes Juliet's distance from her home from the graph is; C) It is decreasing in the interval 3 < x < 4 hours.
How to interpret Graph Intervals?
An interval on a graph is defined as a section of the x-axis that is usually examined to see whether or not the graph is increasing or decreasing throughout that section.
Now, a graph is said to be decreasing through an interval if the x-value increases as the y-value decreases. However, the graph is said to be increasing if the x-values increases as the y-values increase.
Now, looking at the given graph, we can say that between the intervals of 3 < x < 4, the graph is decreasing as it will have a negative slope. However between the intervals of 4 < x < 5, the graph is increasing as it will have a positive slope.
Thus, we can conclude that the correct option is Option C.
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The height of the right circular cylinder shown below is 10 feet and its base has a radius of 4 feet.
The surface area of cylinder whose height is 10 feet and its base of radius is 4 feet is 112π [tex]ft^{2}[/tex]
What is volume of cylinder ?
volume of cylinder is product of pi and square of radius and height of the cylinder.
Given,
height of cylinder = 10 feet
base of radius of cylinder = 4 feet.
Surface area of cylinder is
A=2πrh+2πr2
A = π (2rh+2r2)
A = π (2*4*10 + 2* 4*4)
A =π(80+32)
A = 112 π [tex]ft^{2}[/tex] .
Hence, the surface area of cylinder whose height is 10 feet and its base of radius is 4 feet is 112π [tex]ft^{2}[/tex].
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What is the amplitude and the period of the function y=2 sin x?
Answer:
The amplitude of the function y=2*sin(x) is 2. The amplitude is the maximum value of the function, and in this case, the maximum value of y is 2.
The period of the function y=2*sin(x) is 2π. The period is the distance in the x-axis between two points at which the function has the same value. And in this case, the function reaches the maximum value of 2 at x = π/2, and the next time it reaches the same value is x = 3π/2, which is a distance of 2π in the x-axis.
what statement describes 6(x + 8
Answer:
6x+48
Step-by-step explanation:
u multiply what is in the bracket by 6
[tex]\huge\text{Hey there!}[/tex]
[tex]\text{In order to solve for this particular equation, you have to DISTRIBUTE 6}\\\text{within the PARENTHESES}}[/tex]
[tex]\text{REMEMBER: if you have a variable by itself, it is understood to be an invisible 1}[/tex]
[tex]\text{Anywho! Let us answer your given question}[/tex]
[tex]\mathsf{6(x + 8)}[/tex]
[tex]\mathsf{= 6(x) + 6(8)}[/tex]
[tex]\mathsf{= 6x + 48}[/tex]
[tex]\huge\text{Therefore, your answer should be: }[/tex]
[tex]\huge\boxed{\mathsf{6x + 48}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Kyle lan part of a 42 km marathon at an
average speed of 12 km/hr and walked the
rest at an average speed of 5 km Ihr. He
wasn't feeling great, so he spent Ihr
more time walking than running. How
long did it take him to finish the
marathon
Answer:
5 6/17 hours or approximately 5 hours and 21 minutes-------------------------------
Let the time Kyle ran be x, then he walked for (x + 1) hours.
He ran 12x km and walked 5(x + 1) km thus in total 42 km.
Set up and equation and solve for x:
12x + 5(x + 1) = 4212x + 5x + 5 = 4217x + 5 = 4217x = 37x = 37/17Total time was:
37/17 + 37/17 + 1 = 74/17 + 1 = 4 6/17 + 1 = 5 6/17 hrsPlease help!!!! Picture is attached.
After simplifying the following expression the power of a , c ,d e could be 20,2 , 2 , 6 .
What is expression ?
expression can be defined as with the minimum of two variables or numbers and at least one math operation.
Given expression,
([tex]a^{10}[/tex] [tex]b^{0}[/tex]cd[tex]e^{3}[/tex] ) power -2
so, we know that (a) power -1 could be 1/a .
similarly,
([tex]a^{10}[/tex] [tex]b^{0}[/tex]cd[tex]e^{3}[/tex] ) power -2 = 1 / [tex]a^{20}[/tex] [tex]c^{2}[/tex][tex]d^{2}[/tex][tex]e^{6}[/tex]
Hence the values after simplifying the following expression, the power of a , c ,d e could be 20,2 , 2 , 6 .
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write the equation of the line perpendicular to y=1/5x -11 passing through the point (0, -8)
The equation of the perpendicular line is y = -5x - 8
How to determine the perpendicular line equation?From the question, we have the following parameters that can be used in our computation:
y = 1/5x - 11
Also, from the question;
We have the following points
Point = (0, 8) i.e. (x, y) = (0, 8)
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = 1/5
This means that the slope is 1/5
The slopes of perpendicular lines are opposite reciprocals
This means that the slope of the other line is -5
The equation of the line is then calculated as
y = m(x - x₁) +y₁
Where
m = -5
(x₁, y₁) = (0, -8)
So, we have
y = -5(x - 0) - 8
Evaluate
y = -5x - 8
Hence, the line has an equation of y = -5x - 8
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Consider the system of equations.
x + y = 5
2x - y = -2
23. Solve the system of equations by graphing.
24. Solve the system of equations using the
substitution method.
25. Which method do you prefer in this instance?
Explain.
Answer:
23. (1, 4)
24. (1, 4)
25. graphing calculator
Step-by-step explanation:
You want to solve this system of equations by graphing and by substitution.
x + y = 52x -y = -223. GraphingThe graph of the system of equations is attached. The solution is ...
(x, y) = (1, 4)
24. SubstitutionUsing the second equation, we can write an expression for y:
y = 2x +2
Substituting that into the first equation gives ...
x + (2x +2) = 5
3x = 3 . . . . . . . . subtract 2
x = 1
Then ...
y = 2(1) +2 = 4
The solution is (x, y) = (1, 4).
25. PreferenceWe like the graphing calculator solution, as it gives the answer as quickly as we can type the equations.
If we were constrained to drawing the graph by hand, we would prefer the substitution solution.
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Solving compound inequalities:
14 > ˣ⁺³⁵⁄₃ and ˣ⁻⁴⁶⁄₁₁ ≤-5
Answer:
Inequality Form:
x≤ −9/11
Interval Notation:
(−∞,−9/11]
what is the value of 3 3/8 minus 2 6/8
Answer:
[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
3 [tex]\frac{3}{8}[/tex] - 2[tex]\frac{6}{8}[/tex]
I can rewrite3 [tex]\frac{3}{8}[/tex]
2 [tex]\frac{8}{8}[/tex] + [tex]\frac{3}{8}[/tex] ([tex]\frac{8}{8}[/tex] means the same as 1)
2[tex]\frac{11}{8}[/tex] - 2 [tex]\frac{6}{8}[/tex] = [tex]\frac{5}{8}[/tex]
1. What is the value of x in the following proportion?
4/5 / x=2 / 74/4
x=6 1/4
x=7 3/4
x=7 2/5
x=8 1/5
Solving for x in the proportion 4/5 / x = 2 / 74/4 gives
x = 7 2/5How to solve for x in the given proportionThe given proportion is 4/5 / x = 2 / 74/4
Using the equation 4/5 / x = 2 / 74/4, x is solved by making it the subject of the formula and this means placing x alone at the left hand side of the equation. this is achieved by
cross multiplying
4/5 / x = 2 / 74/4
4/5 * 74/4 = 2x
74/5 = 2x
dividing through by 2
x = 37/5
x = 7 2/5
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The graph of the function f(x) = (x-4)(x + 1) is shown
below.
-6
42
6
4
2-
&
-4
Гу
6
2 A
6
X
Which statement about the function is true?
The function is increasing for all real values of x
where
x < 0.
The function is increasing for all real values of x
where
x<-1 and where x > 4.
The function is decreasing for all real values of x
where
-1
The function is decreasing for all real values of x
where
x < 1.5.m
Answer:
the 3rd oneeeeeeeeeeeeeeeeeeeeeeeeeeee
create an area model to represent 14x17 find the product
238
14x17, the answer is 238 for your question plus it's an easy one you could've just multiplied and got your answer even from a calculator..
pls helpppppp (correct answers only and explainiton)
your slope is right on the money, now the y-intercept is where the y-axis gets intercepted or namely gets crossed, Check the picture below.
The graph shows the taxi fare. y, in is city, for a distance of x kilometers
Which statement is true?
A. The total tare changes by $4 per kilometer, and it will cast $24 for a distance of 6 kilometers.
B. The total fare changes by $4 per kilometer, and it will cost $28 for a distance of 6 kilometers.
C. The total fare changes by $3 per kilometer, and it will cost $22 for a distance of 5 kilometers:
D. The total tare changes by $3 per kilometer, and it will cost $18 for a distance of 6 kilometer.
The true statement is,
⇒ The total fare changes by $3 per kilometer, and it will cost $22 for a distance of 6 kilometers.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The graph shows the taxi fare. y, in is city, for a distance of x kilometers.
Now,
Since, The graph shows the taxi fare. y, in is city, for a distance of x kilometers.
Let two points on the graph are (2, 10) and (4, 16).
Hence, The slope of the line = (16 - 10) / (4 - 2)
= 6/2
= 3
Thus, The equation of line for the graph is,
⇒ y - 10 = 3 (x - 2)
⇒ y - 10 = 3x - 6
⇒ y = 3x - 6 + 10
⇒ y = 3x + 4
For 6 kilometer, the cost is find as;
Substitute x = 6;
⇒ y = 3x + 4
⇒ y = 3 × 6 + 4
⇒ y = 22
Therefore, The total fare changes by $3 per kilometer, and it will cost $22 for a distance of 6 kilometers.
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When an opinion poll uses random digit dialing to select respondents for polls, the response rate is approximately 10% for people contacted by cell phone. You watch a pollster dial 20 cell numbers many times using random digit dialing. What would be the standard deviation if p = 0.017 Give your answer to three decimal places, What does your work show about the behavior of the standard deviation of a binomial distribution as the probability of a success gets closer to zero? O As p approaches 0, the standard deviation decreases (that is, it approaches 0). O As p approaches 0, the standard deviation increases (that is, it gets further and further from 0). O As p approaches 0, the standard deviation increases (that is, it approaches 0). O As p approaches the standard deviation remains constant
A. Work shows that as the probability of success approaches 0, the standard deviation decreases and approaches 0.
The standard deviation for the binomial distribution with a probability of success p = 0.017 for 20 trials would be 0.282. The standard deviation for a binomial distribution can be calculated using the formula =√np(1−p).
Inserting the values for n = 20, p = 0.017 gives us an answer of 0.282. As the probability of success approaches 0, the standard deviation decreases and approaches 0.
This is because as the probability of success approaches 0, the number of successes in the trials approaches 0, so there is less variation in the number of successes and the standard deviation approaches 0.
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please help.. I’ll give brainliest!
Answer:
I have provided the answers on the original image you provided.
Step-by-step explanation:
For f(x) = -2x² + 8x + 1
To find the y-intercept, set x = 0 and determine the value for f(x). This will work out to +1 so the y-intercept is (0, 1)
To find the vertex y-value. Note that we are given the x value as 2. Substitute 2 for x in the function expression. This will give you a value of 9. So the vertex is (2, 9)
The coefficient of x² is negative so it will be a maximum vertex and therefore opens downward
For g(x) = 3x² + 6x -4
To find the x value of the vertex, differentiate with respect to x and set this first derivative equal to zero
First derivate of g(x), g'(x) = 6x + 6
Set 6x + 6 =0 to get x = -1
The axis of symmetry is nothing but the x value of the vertex and therefore x = -1
The coefficient of x² is positive. So the vertex will be a minimum and it will be an upward opening parabola
I hope that helps
2x+3y=-60
2x+3y=120
please answer the question that’s on the image i will mark you brainliest.
Answer:
C) There is no solution
Step-by-step explanation:
2x + 3y = -60
2x + 3y = 120
There is no number that I can substitute for 2x and 3y and get two different answers (60 and 120)
2x + 3y = -60
2x + 3y = 120 ⇒ multiply all the way through by -1 ⇒ -2x -3y = -120
Now add the two equations together
2x + 3y = -60
-2x -3y = -120
0 = -180 This is a false statement so there is no solution.
at a sale at an electronics store a plasma television originally priced at 500 is marked 15 off what is its selling price?
The plasma television is selling for $425 after the 15% discount.
What is the Selling price and cost price?
The selling price of a product is the price at which it is sold to the customer. It is the price that the customer pays for the product, and it includes any taxes or additional charges.
The cost price, also known as the wholesale price or the wholesale cost, is the price at which the manufacturer or supplier sells the product to the retailer or the distributor. It is the price that the retailer or distributor pays to acquire the product, and it does not include any taxes or additional charges.
If an item is marked 15% off, that means that you will pay 85% of the original price. To calculate the selling price of the plasma television, you can use the following formula:
Selling price = Original price x (100 - discount%) / 100
In this case, the original price of the television is $500 and the discount is 15%, so the selling price is:
Selling price = $500 x (100 - 15) / 100 = $500 x 0.85 = $425
Hence, the plasma television is selling for $425 after the 15% discount.
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A system of equations is shown.
{ x= = 10
3x + 5y = 20
What is the solution (x, y) of the system of equations?
Step-by-step explanation:
when x=10
3x+5y=20
3×10+5y=20
30+5y=20
5y=20-30
5y=-10
y=-10/5
y=-2
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
run = 10
rise = 20
Slope in simple: 2/1
Step-by-step explanation:
Rise over run = 20/10 --> 2/1
Select the correct answer. Steve is trying to determine the proper rectangular pan to use for his banana bread recipe. He has four different pans that he can use, each with the same length and width but all with different heights. Which of the following formulas will show how Steve can determine the height of a rectangular pan? height=lengthxwidthxvolume
The formula that Steve can use to determine the height of the rectangular prism is given as follows:
Height = Volume/(length x width).
How to determine the height of the rectangular prism?The formula for the volume of a rectangular prism is dependent on the height, thus it is used to solve for the height.
The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, as follows:
Volume = length x width x height.
To obtain the height, we must solve the above formula for the height, isolating the height, with the length and the width dividing on the other side, as they are inverse operations to the multiplication, as follows:
Height = Volume/(length x width).
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Mutiyara Berhad is interested in measuring its overall cost of capital. Current investigation has gathered the following data. The firm is in the 40% tax bracket.
Mutiyara Berhad can raise debt by selling RM1000 par value, 8% coupon interest rate, 20 years bonds on which annual interest payments will be made. to sell the issue, an average discount of RM30 per bond would have to be given. The firm also must pay floatation cost of RM30 per bond.
The firm can sell 8% preferred stock at its RM95 per share par value. The cost of issuing and selling the preferred stock is expected to be RM5 per share. Preferred stock can be sold under these terms.
The firm’s common stock is currently selling for RM90 per share. The firm expects to pay cash dividends of RM7 per share next year. The firm’s dividends have been growing at annual rate of 6%, and this growth expected to continue into the future. The stock must be underpriced by RM7 per share, and the floatation costs are expected to amount to RM5 per share. The firm can sell new common stock under these terms.
When measuring this cost, the firm does not concern itself with the tax bracket or brokerage fees of owners. It expects to have available RM100,000 of retained earnings in the coming year; once these retained earnings are exhausted, the firm will use new communication stock as the form of common stock equity financing.
a) Calculate the after-tax cost of debt
b)Calculate the cost of preferred stock
c) Calculate the cost of new common stock.
d)Calculate the firm’s weighted average cost of capital using retained earnings and the capital structure weights shown in the table above.
a) To calculate the after-tax cost of debt, we first need to calculate the pre-tax cost of debt, which is the coupon interest rate. In this case, the bond has a coupon interest rate of 8%. We then need to multiply this by (1-tax rate) to get the after-tax cost of debt. In this case, the firm is in a 40% tax bracket, so:
After-tax cost of debt = 8% x (1 - 40%) = 4.8%
b) To calculate the cost of preferred stock, we need to know the dividend yield, which is the annual dividend payment per share divided by the price per share. In this case, the preferred stock does not have any dividends, so its cost of capital is 0%.
c) To calculate the cost of new common stock, we need to know the dividend yield, which is the annual dividend payment per share divided by the price per share. We also need to know the rate of growth in dividends. In this case:
Dividend yield = Dividend per share / Price per share
Dividend yield = 7 / 90 = 0.0778
Cost of new common stock = (Dividend per share / Price per share) + (Dividend growth rate)
Cost of new common stock = 0.0778 + 0.06 = 13.78%
d) To calculate the firm's weighted average cost of capital (WACC), we need to use the capital structure weights and the costs of each type of capital. In this case:
WACC = (Weight of debt x After-tax cost of debt) + (Weight of preferred stock x Cost of preferred stock) + (Weight of new common stock x Cost of new common stock)
Note: These weights can be calculated from the proportion of each source of financing in the firm's capital structure.
WACC = (0.354.8%) + (00%) + (0.65*13.78%) = 7.63%.
The firm's weighted average cost of capital using retained earnings and the capital structure weights is 7.63%.
What Is Cost of Capital?Cost of capital is the minimum rate of return or profit a company must earn before generating value. It's calculated by a business's accounting department to determine financial risk and whether an investment is justified.
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Find the fifth term. Please help!
:)
By evaluating the given formula, we will see that the fifth term of the sequence is 32.
How to find the fifth term of the sequence?Here we have a sequence defined by the formula below:
aₙ = 2ⁿ
So that formula gives the n-th term of the sequence. To find the fifth term, we just need to replace the value of n by the value 5 in the formula above.
We will get.
a₅ = 2⁵
a₅ = 32
The fifth term of the sequence is 32.
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Looking to find the measure of C.
a = 2x+6
b = x + 24
Check the picture below.
What is the least
common denominator
Answer:
9
Step-by-step explanation:
9 is the smallest number that 3 and 9 can both go into.
estimate the product to the nearest whole number. 481 .68 * 76.25
Answer:
36,552
Step-by-step explanation:
To estimate the product of 481.68 and 76.25 to the nearest whole number, we can round both numbers to the nearest whole number first. 481.68 can be rounded to 482 and 76.25 can be rounded to 76.
Then, we can calculate the product of 482 and 76 to get the estimated result:
482 * 76 = 36,552
Therefore, the estimated product of 481.68 and 76.25 to the nearest whole number is 36,552.
Answer:
36,552
Step-by-step explanation:
To estimate the product of 481.68 and 76.25, you can round each number to the nearest whole number. 481.68 rounds to 482, and 76.25 rounds to 76.
The product of 482 and 76 is approximately 36,552. Therefore, the product of 481.68 and 76.25 is approximately 36,552.
Click on the measure of angle x.
125°
55°
55°
45°
35°
Done →
Answer:
x = 35
Step-by-step explanation:
90 - 55 = 35
pls help it’s my last question
Answer:
C is your answer
correct if I'm wrong
Step-by-step explanation:
Equation of the horizontal line is given by y = k, where k is any value on the y-axis.
i need help with #6 please!!
-11 because
(gof)(x) = 18x2 - 123x + 193. Substitute x = 4. (gof)(4) = 18(4)2 - 123(4) + 193. (gof)(4) = -11. Solution: The solution is (gof)(4) = -11.
Pleasede please please help me
Answer:
3rd one is the answer
Step-by-step explanation:
x=7*2/5