Answer:
slope = \(\frac{3}{4}\)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x - 4y = 7 ( subtract 3x from both sides )
- 4y = - 3x + 7 ( divide terms by - 4 )
y = \(\frac{3}{4}\) x - \(\frac{7}{4}\) ← in slope- intercept form
with slope m = \(\frac{3}{4}\)
you will get brianliest
Answer:
1.8
2.10
3.9
Step-by-step explanation:
LOl why are u asking this
Answer:
1 is 8
2 is 10
3 is 9
Step-by-step explanation:
basically ur dividing the fraction so its like if u cut parts of a singular slice of pizza
Find the volume of the composed figure.
Answer:
96 ft³
Step-by-step explanation:
The front face can be considered as a 5×10 rectangle with a 3×6 rectangle cut from it. Then its area is ...
A = (5×10) -(3×6) = 32 . . . square feet
The volume of a prism of uniform cross section is ...
V = Bh . . . . . where B is the area of the base, and h is the height
Our figure has a base area of 32 square feet and a height of 3 feet, so its volume is ...
V = (32 ft²)(3 ft) = 96 ft³
48 _ (-8) =(6)
What’s missing Need the answer ASAP
Answer:
\(divided\)
Step-by-step explanation:
your need to divide 48 by 8 to get 6
Can someone help me please
Answer:
D. ab=ab
Step-by-step explanation:
Communitive property of addition is a number plus a number and the number added to the first number backwards but equal the same answer. For instance (if you don't understand what I'm saying) Look at answer A in your problem, a+b=b+a that's how the communitive property works in addition. The rest of the answer choices also shows communitive property. This is why answer D does NOT show the communitive property in addition.
I'm sorry if I didn't explain right or if I'm wrong but I tried my best. Have a good day and enjoy your answer. I hope you learned something Thanks :)
uppose the probability of an unsuccessful missile launch is 0.3. If missiles continue to be launched until an unsuccessful launch occurs, what is the probability that exactly 4 total launches will be performed (round off to first decimal place)
The probability that exactly 4 total launches will be performed until an unsuccessful launch occurs is approximately 0.0720 or 7.2%
The probability of exactly 4 total launches being performed until an unsuccessful launch occurs, we can use the geometric probability formula.
In this case, the probability of a successful launch (p) is 0.7 (since the probability of an unsuccessful launch is 0.3). We want to find the probability of 4 successful launches followed by an unsuccessful launch.
The probability of exactly 4 successful launches followed by an unsuccessful launch can be calculated as follows:
P(4 successful launches followed by an unsuccessful launch) = (p⁴) × (1-p)
P(4 successful launches followed by an unsuccessful launch) = (0.7⁴) × (1-0.7)
P(4 successful launches followed by an unsuccessful launch) = 0.7⁴ × 0.3
P(4 successful launches followed by an unsuccessful launch) = 0.2401 × 0.3
P(4 successful launches followed by an unsuccessful launch) ≈ 0.0720
Therefore, the probability that exactly 4 total launches will be performed until an unsuccessful launch occurs is approximately 0.0720 or 7.2%
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Answer:
D. Cost
It is cost because the y axis is the dependent variable because the cost depends on the weight and the dependent is the y axis.
Step-by-step explanation:
Please mark brainliest I hope this helps.
Answer:
D the cost
Step-by-step explanation:
cause the costs always go on the y axis
find the exact values of the sine, cosine, and tangent of the angle. 255° = 300° − 45°
The exact values of the sine, cosine, and tangent of the angle 255° are -1/√2, 1/√2, and -1, respectively.
To find the exact values of the sine, cosine, and tangent of the angle 255°, we can use the identity that relates the trigonometric functions of an angle to the trigonometric functions of its complement.
By expressing 255° as the sum of 300° and -45°, we can determine the exact values of the trigonometric functions for the given angle.
We know that the sine, cosine, and tangent of an angle are periodic functions, repeating every 360 degrees. To find the exact values of the trigonometric functions for 255°, we can express it as the sum of 300° and -45°, where 300° is a multiple of 360°.
Since the sine, cosine, and tangent functions are odd or even functions, we can use the values of the trigonometric functions for 45° to determine the values for -45°.
For 45°:
sin(45°) = cos(45°) = 1/√2
tan(45°) = 1
Since cosine is an even function, cos(-45°) = cos(45°) = 1/√2.
Since sine is an odd function, sin(-45°) = -sin(45°) = -1/√2.
Using the definition of tangent as the ratio of sine to cosine, tan(-45°) = sin(-45°) / cos(-45°) = (-1/√2) / (1/√2) = -1.
Therefore, for the angle 255°:
sin(255°) = -1/√2
cos(255°) = 1/√2
tan(255°) = -1
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Courstry A ard counsty bi both have the production furcticn y=x21x22π \{a\} Does tha pioduction tunction hwe constant returns to scale? Explan. (b) What is the per-werker preduction function, country. Then ind the steady-state leves of income ner worker and consumption per worker. (d8 5 spopse that both countries start od with a copital stock per worker of t. What are the levels of income pet wotker and consumption per worker?
(a) The production function has constant returns to scale, as doubling the inputs results in a doubling of the output, and similarly for other scaling factors.
(b) The per-worker production function is obtained by dividing the production function by the labor input, denoted by L or workers.
(a) To determine if the production function exhibits constant returns to scale, we need to examine the behavior of the function when inputs are scaled proportionally. Let's assume the production function is given by \(y = f(x1, x2) = x1^2 \times x2^(2\pi ).\)
To test for constant returns to scale, we evaluate the production function when inputs are multiplied by a constant factor, say λ. Therefore, we have \(y' = f(\lambda x1, \lambda x2) = (\lambda x1)^2 \times (\lambda x2)^(2\pi) = \lambda ^2 \times (x1^2 \times x2^(2\pi)) = \lambda ^2 \times y.\)
Since \(\lambda ^2 \times y = \lambda \times \lambda \times y = \lambda \times y'\), we see that the output is proportional to the input scale factor λ. This indicates that the production function has constant returns to scale, as doubling the inputs results in a doubling of the output, and similarly for other scaling factors.
(b) Let's denote the per-worker production function as \(y/L = f(x1, x2)/L = (x1^2 \times x2^(2\pi))/L.\)
To find the steady-state levels of income per worker (y/L) and consumption per worker (C/L), we need to analyze the equilibrium conditions. However, the provided information is insufficient to derive the specific equations or parameters required for the analysis.
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Solve for x
9x - 7 = 4x + 13
i need help with this i’m so confused in this topic
Answer: x=4
Step-by-step explanation:
First, you need to take both of the x to one side of the equation. To do that, subtract 4x from both sides of the equation. you will get 9x-7-4x=4x+13-4x. The 4xs on the right hand side of the equation will cancel out. So you will be left with an equation that looks like this: 9x-7-4x=13. Now, on the left hand side of the equation you can rearrange the numbers to look like this. 9x-4x-7=13. Do 9x-4x to get 5x and then add back your -7 and the =13. Now, your equation will look like this. 5x-7=13. Now, you need to get rid of the 7 on the left hand side of the equation in order to isolate the variable (which is x here). The easiest way to do this would be to add 7 to both sides (in order to keep the equation balanced, whatever you do on one side of the equation has to also be done on the other side.) of the equation so the +7 and -7 could cancel each other out. You would have 5x-7+7=13+7. Now, cancel out the 7s on the left hand side of the equation. You would be left with 5x=13+7. Add the 13 and the 7 on the right hand side of the equation to get 20. You would now have the equation 5x=20. Finally, you need to isolate the x, right? To do that, just divide both sides of the equation by 5. you would get 5x/5=20/5. And your final answer after simplifying should be x=4. Hope this helps!
Suppose 1.5 liters of water come out of a faucet each minute. For how many minutes was the faucet on if 20.7 liters of water came out? please help me out no links please
Answer:
13.8 minutes
Step-by-step explanation:
If 3 liters came out it would take 2 minutes
if 4.5 liters came out it would take 3 minutes
Therefor the time is the volume divided by the rate
20.7 / 1.5 = 13.8
13.8 minutes
S = [-1, 0, 2, 7, 10, 13]
G = the number is Greater than 0
M = the number is at Most 2
Z = number is Zero
L = number is a Less than 1
Find the P(Z) = Blank 1. Fill in the blank, read surrounding text. Round to 3 d.p.
The value of Blank 1 is 0.167.
The set of numbers is given as S = [-1, 0, 2, 7, 10, 13]. The following are the values of G, M, Z, and L:G = the number is greater than 0, M = the number is at most 2, Z = number is Zero, and L = number is less than 1.P(Z) = Blank 1.
The probability of Z (a number being zero) is equal to the number of elements in S that are zero, divided by the total number of elements in S (that is, the size of S).
We can observe that only one element is zero from the given set S.
Hence the probability of an element being zero is 1/6, which can be represented as a fraction or in decimal form as 0.1666667.Rounding the result to 3 decimal places, we get the answer as 0.167.
Therefore, the value of Blank 1 is 0.167.
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Answer:
2 d>7 because at first you have to distance how much hours is from Virginia to Florida and thats approximately 12hrs and 33 minutes so, d is greater than 7 hours
Classify each number as rational or irrational:
Help asap
\(\textsf{Hi Brainy User, I'm Here to Help you!}\)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
\(\textsf{\textbf{Rational} and \textbf{Irrational} numbers}\)
\(.\qquad\bullet\textsf{\textbf{Rational} numbers can be written in fraction form, p/q.}\\.\qquad\bullet\textsf{\textbf{Rationals} can be \textbf{terminating} fractions.}\)
\(\therefore\)
\(.\qquad\bullet\textsf{\textbf{Irrational} numbers \textbf{cannot} be written \textbf{as fractions.}}\)
\(\textsf{These are the \textbf{rationals:}}\)
\(\boldsymbol{\dfrac{11}{3}}\)
\(\boldsymbol{0.01045}\)
\(\boldsymbol{\sqrt{\dfrac{16}{81}} }\)
\(\boldsymbol{6.25}\)
\(\boldsymbol{0.\overline{42}\Leftarrow it's\:a\:terminating\:fraction}\)
\(\textsf{These are the \textbf{irrationals:}}\)
\(\boldsymbol{\sqrt{48}}\)
\(\boldsymbol{16\pi}\)
\(\boldsymbol{\sqrt{\dfrac{3}{16}} }\)
\(\textsf{We come to the conclusion that there are more rationals than irrationals. \ddot\smile}\) \(\ddot\smile\)
\(\Large\overbrace{\underbrace{\boldsymbol{\rm{Reflection\:-RoSe}}}}^\star_\star\)
Brennen is hired as a lifeguard at Waterworks, the local water park. The average beginning salary per hour is $8.50 but the actual beginning salary could differ from the average by as much as $0.95. What possible beginning salaries could Brennen earn?
Actual salary
\(\\ \sf\longmapsto 8.50-0.95\)
\(\\ \sf\longmapsto 7.55\$\)
help I don't get it
Answer:
2)
3)
4)
5)
6)
Step-by-step explanation:
Please help!! will give brainliest
Answer:
I think its A=D but not sure
Solve for X
x/7 = -8
Please help!!!
Worth 20 points!!!
I need an answer ASAP!!!
Answer:
x = -56
Step-by-step explanation:
x/7 = -8
Multiply each side by 7
x/7 *7 = -8*7
x = -56
Sam bought 2 pieces of wood for his school project. The pieces of wood were 17m 28mm and 15cm 37mm. He put them altogether to form a long piece of wood. How long was it
I need the solution
Will mark as brainliest
The length of the long piece of wood is 17.15m
What is dimension?Dimensions in mathematics are the measure of the size or distance of an object or region or space in one direction. In simpler terms, it is the measurement of the length, width, and height of anything. Dimensions are generally expressed as: Length. Breadth.
The dimension of a shape is expressed in the form Length by breadth.
The dimension of the first stick is 17m by 28mm, therefore the length is 17m
The dimension of the second stick is 15cm by 37mm, therefore the length is 15cm = 0.15m
The length of the long stick = 17+0.15 = 17.15m
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Give an example of a time when you used estimation to solve a problem.
Answer:
I wanted to know how many stars are in the sky above my house I counted and made the estimate of 80
What is the sum of (x ^ 2 - 3x + 2) and (5x ^ 2 - 3x - 8)
Answer:
6x^2-6x-6
Step-by-step explanation:
(x^2-3x+2)+(5x^2-3x-8)
x^2+5x^2-3x+(-3x)+2+(-8)
6x^2-3x-3x+2-8
6x^2-6x+2-8
6x^2-6x-6
Evaluate the expression for p = 5. Зр
Answer:
15
Step-by-step explanation:
Answer:
15
Explanation:
If p=5 then 3p=3(5)
3*5=15
Have a beautiful day!
I need help please
First we add 0.3 to 3.7, that way we will have an integer and it would be more easy to make the operations. Then we have 4.
Then we can substract the 4 to the 9.4, getting 5.4.
Finally we add once again 0.3 (because in the difference we have an extra .3) to the 5.4, getting 5.7.
Then Tamela swims 5.7 more than Blake every day.
What is 24/240 as a decimal
Answer:
0.1
Step-by-step explanation:
Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator
QUESTION ONE [25]Brozierz Ltd, operate in the engineering industry. They feel that some of their older equipment need to be replaced. They seek your help to calculate their cost of capital.Their present capital structure is as follows:• 300 000 R2 ordinary shares now trading at R2,40 per share.• 100 000 preference shares trading at R2,50 per share (issued at R3 per share). 10 % p.a. fixed rate of interest.• A bank loan of R 500 000 at 12 % p.a. (payable in 5 years’ time).Additional information:a. The company’s beta is 1,4. A return on market of 15% and a risk free rate of 6%.b. Its current tax rate is 28%.c. Its current dividend is 50c per share and they expect their dividends to grow by 7% p.a.Required:1.1 Assuming that the company uses the Capital Asset Pricing Model (CAPM) to calculate their cost of equity, calculate their weighted average cost of capital.
The weighted average cost of capital WACC = (0.375 x 0.165) + (0.125 x 0.12) + (0.5 x 0.12) x (1 - 0.28)
= 0.120 or 12.0%
To calculate the cost of capital for Brozierz Ltd, we need to calculate the cost of each component of their capital structure and weight them according to their proportion in the overall capital structure.
First, let's calculate the cost of equity using the Capital Asset Pricing Model (CAPM):
Cost of equity = risk-free rate + beta x (return on market - risk-free rate)
= 0.06 + 1.4 x (0.15 - 0.06)
= 0.165 or 16.5%
Next, let's calculate the cost of preference shares:
Cost of preference shares = (fixed dividend rate / market price of preference shares) + flotation costs
= (0.1 x 3 / 2.5) + 0
= 0.12 or 12%
The cost of debt is simply the interest rate on the bank loan, which is 12% per annum.
Now, we can calculate the weighted average cost of capital (WACC) using the formula:
WACC = (proportion of equity x cost of equity) + (proportion of preference shares x cost of preference shares) + (proportion of debt x cost of debt) x (1 - tax rate)
Let's calculate the proportion of each component:
Proportion of equity = 300,000 x 2.40 / (300,000 x 2.40 + 100,000 x 2.50 + 500,000) = 0.375
Proportion of preference shares = 100,000 x 2.50 / (300,000 x 2.40 + 100,000 x 2.50 + 500,000) = 0.125
Proportion of debt = 500,000 / (300,000 x 2.40 + 100,000 x 2.50 + 500,000) = 0.5
Therefore, the WACC is:
WACC = (0.375 x 0.165) + (0.125 x 0.12) + (0.5 x 0.12) x (1 - 0.28)
= 0.120 or 12.0%
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62x+4=33x×2x+8 please solve it
Simplifique as seguintes expressoes: com os angulos em radianos: e) cos(-57 + a) + tan(97 -a) - sin(,# -a) d) cos(n + a) - sin "- a) + cos(3n - a) determine o valor exato de 10.2. cos 1200-sin(-240%) 30.1. sin 450* + cos 900 b) tan(80' - al x cos 150' a) cos(180" - a x 2sin 120' sabendo que ur e um angulo obtuse e que siner , determine o valor exato de: simplifique as seguintes expresses; com os angulos em graus? c) cos(450" + a) x sin(-a) - tan(a - 180") + sin(a + 180) bj cos(-270" + a) + tan(900"-a) a) cos(90" + a) - sin(180 - n) + cos(540" -")
The simplified expressions of those given in the problem with the angles in radians and degrees have been calculated:
e)cos(-57° + a) + tan(97° - a) - sin(67° - a) = (√3 + 1)/2 cos(a) + (√3 - 1)/2 sin(a) + tan(97π/180 - a)
d)cos(n + a) - sin " - a) + cos(3n - a) = 1/2
b)tan(80° - a) x cos(150°) = tan(80° - a) x cos(30°) = [tan(80° - a) x sin(30°)] / sin(30°) = [tan(80° - a) x (1/2)] / (1/2) = 2 tan(80° - a)
c)cos(450° + a) x sin(-a) - tan(a - 180°) + sin(a + 180°) = -sin²(a) - tan(a) + sin(a)
bjcos(-270° + a) + tan(900° - a) = sin(a) - 2 sin(90° + n) = sin(a) + 2 cos(n)
Expression e)cos(-57° + a) + tan(97° - a) - sin(67° - a)
Here, 1° = π/180 radian
Putting the values, we get:
cos(-57° + a) = cos(-57π/180 + a) = cos(a - π/3) = cos(a) cos(π/3) + sin(a) sin(π/3) = 1/2 cos(a) + √3/2 sin(a) (As cos(π/3) = 1/2 and sin(π/3) = √3/2)
Now, tan(97° - a) = tan(97π/180 - a)sin(67° - a) = sin(67π/180 - a) = sin(π/3 - a) = sin(π/3) cos(a) - cos(π/3) sin(a) = √3/2 cos(a) - 1/2 sin(a) (As cos(π/3) = 1/2 and sin(π/3) = √3/2)cos(-57° + a) + tan(97° - a) - sin(67° - a) = [1/2 cos(a) + √3/2 sin(a)] + tan(97π/180 - a) - [√3/2 cos(a) - 1/2 sin(a)] = cos(a)/2 + √3/2 sin(a) + tan(97π/180 - a) + √3/2 cos(a) - 1/2 sin(a) = (√3 + 1)/2 cos(a) + (√3 - 1)/2 sin(a) + tan(97π/180 - a)
Expression d)cos(n + a) - sin " - a) + cos(3n - a)
Here, 1° = π/180 radian
Putting the values, we get:
cos(n + a) - sin " - a) + cos(3n - a) = cos(n) cos(a) - sin(n) sin(a) - cos(a) sin(a) + cos(3n) cos(a) + sin(3n) sin(a) = [cos(n) + cos(3n)] cos(a) - [sin(n) + sin(3n)] sin(a) - cos(a) sin(a)cos(1200) - sin(-240°) = cos(1200 × π/180) - sin(-240 × π/180) = -1/2 - (-1/2) = 0Now, sin(450°) + cos(900°) = sin(450 × π/180) + cos(900 × π/180) = 1/2 + 0 = 1/2
Expression b)tan(80° - a) x cos(150°) = tan(80° - a) x cos(30°) = [tan(80° - a) x sin(30°)] / sin(30°) = [tan(80° - a) x (1/2)] / (1/2) = 2 tan(80° - a)
Expression c)cos(450° + a) x sin(-a) - tan(a - 180°) + sin(a + 180°)
Here, 1° = π/180 radian
Putting the values, we get:
cos(450° + a) x sin(-a) - tan(a - 180°) + sin(a + 180°) = [cos(450π/180 + a) x sin(-a)] - tan(aπ/180 - π) + sin(aπ/180 + π) = [-sin(a) x sin(-a)] - tan(aπ/180 - π) + sin(aπ/180 + π) = -sin²(a) + tan(aπ/180 + π) + sin(aπ/180) = -sin²(a) - tan(a) + sin(a)
Expression bjcos(-270° + a) + tan(900° - a)
Here, 1° = π/180 radian
Putting the values, we get:
cos(-270° + a) = cos(-270π/180 + a) = sin(a)tan(900° - a) = tan(900π/180 - a) = -tan(a)cos(-270° + a) + tan(900° - a) = sin(a) - tan(a)
Now, cos(90° + a) - sin(180° - n) + cos(540° - n)
Here, 1° = π/180 radian
Putting the values, we get:
cos(90° + a) - sin(180° - n) + cos(540° - n) = sin(a) - sin(π - n) + cos(3π - n) = sin(a) + sin(n) + cos(n) = sin(a) + (cos(90° - n) - cos(90° + n)) = sin(a) - 2 sin(90° + n) = sin(a) + 2 cos(n)
Therefore, the given simplified expressions with the angles in radians and degrees have been calculated.
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Answer:
5 or 6
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Anyone know if this is right?
Answer:
If you are just wanting to factor out the equation than yes, this is correct! Great job!
Step-by-step explanation:
what is 8.525 rounded to the nearest whole number
Answer:
9
Step-by-step explanation
Answer:
9
Step-by-step explanation:
8 is the ones digit.
Drop .525
If the first digit you drop is from 0 to 4, the last digit you keep stays the same.
In this case, the first digit you drop is 5. Since 5 is greater than 4, we round up by adding 1 to 8.
Answer: 9
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What is the equation of this graph?