Answer:a) r >= -20
b) -10 <= x, or x >=-10
c) q<= 5
Step-by-step explanation:
a)-11r >=220
-11r/-11 >= 220/-11
r>=-20
b) -8<=-7+x/10
-8+7<=x/10
-1 <=x/10
-10 <=x
c) -1-6(5q-2)>=-139
-1 -30q +12 >= -139
-30q+12-1>=-139
-30q+11>=-139
-30q >= -139-11
-30q>= -151
-30q/-30 >= -151/-31
q <= 5,
u will notice the sign has changed from >= to <= it is coz when the negative signs erase themselves.
This is the same information as you’ll use in the next question. Skidding distance can be determined using the formula d space equals space 2 square root of 5 x end root where d is the distance (in feet) and x is the speed (in miles per hour). Calculate the skidding distance for a speed of 50mph.
Josiah plants vegetable seeds in rows. Each row has the same number of seeds in it. He plants more than one row of seeds. What could be the total number of seeds he plants?
The total number of seeds that Josiah would plant would be = nR×S
How to determine the total number of seeds that Josiah will plant?To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.
Let each row be represented as = nR
Where n represents the number of rows planted by him.
Let the seed be represented as = S
The total number of seeds he planted = nR×S
Therefore, the total number of seeds that was planted Josiah would be = nR×S.
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4. If 2 is subtracted from three times a number, the result is equal to 5 less than three times
the number. Find the number.
The resulting equation: 3x - 2 = 3x - 5
This equation does not have any true answer, meaning either the question asked is wrong or you have typed this equation wrong.
The only answer you could write for this is No Solution.
Hey I need to survey 10 people who play video games so please answer or comment your answers down below :)
Survey ten people who play video games. Ask them these questions:
Why do you play video games?
What types of games do you play?
How long have you been playing video games?
How do you think video games will be played in the future?
Do you think video games will converge to a single platform in the future?
Thanks <3
Playing video games helps me if I have a rough time, I started around 2019. I play adventour type video games, not sure if raft counts, but that is a game I play too often with my friends. I think that video games probably could be played in cars as well but I dont know what else it can be or will be played on. Definitely will not be a single platform, people are too greedy everyone wants a better state then others. (not sure if that makes sense)
hope this helps :))
On a coordinate plane, a curved line with minimum values of (negative 0.5, negative 7) and (2.5, negative 1), and a maximum value of (1.5, 1), crosses the x-axis at (negative 1, 0), (1, 0), and (3, 0), and crosses the y-axis at (0, negative 6). Which interval for the graphed function contains the local maximum?
Answer:
D Over the interval [4, 7], the local minimum is -7.
Step-by-step explanation:
The length of a rectangular rug is given as 0.9m, correct to the nearest ten centimeters .The width of the rug is given as 0.6m, correct to the nearest ten centimeters. Find the lower bounds, in meters, of the perimeter of the rug.
Answer:
The lowest bound step 1 is change to measures of m to cm =900 lower bound = 895 and 600 = 595 to nearest 10 cm Therefore ; 895 + 895 + 595 + 595 = 2980 cm = p(cm) ≥ 2980
The original piece of a scarf was 16$ during a store closing sale a shopper saved 12$ on the scarf what percentage discount did she recive
The shopper received 75% discount. The solution has been obtained by using arithmetic operations.
What are arithmetic operations?
Mathematicians claim that the four fundamental operations, sometimes known as "arithmetic operations," may express any real number. Divide, multiply, add, and subtract are the four mathematical operations that result in quotient, product, sum, and difference, respectively.
We are given that the original piece of a scarf was $16 and during a store closing sale a shopper saved $12 on the scarf.
So, the discount received = $12
Percentage of discount received = $12/ $16 * 100 = 75%
Hence, the shopper received 75% discount.
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-1,-4,-7,-10 write an equation to find the nth term of each sequence. Then find a24
Answer:
\(\boxed {a_{24} = - 70}\)
Step-by-step explanation:
According to the following pattern sequence (\(-1, -4, -7, -10\) ), it is Arithmetic Sequence, because every negative number is subtracted by \(3\). So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term:
\(a_{n} = a_{1} + (n - 1) d\)
\(a_{n}\): nth term in the sequence
\(a_{1}\): 1st term
\(n\): term position
\(d\): Common difference
-Apply to the formula:
\(a_{24} = -1 - 3 (24 - 1)\)
\(a_{n} = a_{24}\)
\(a_{1} = -1\)
\(n = 24\)
\(d = -3\)
-Solve:
\(a_{24} = -1 - 3 (24 - 1)\)
\(a_{24} = -1 - 3 (23)\)
\(a_{24} = -1 - 69\)
\(\boxed {a_{24} = - 70}\)
Therefore, the 24th term is \(-70\).
what is the simplified form of the following expression?
\(7( \sqrt[3]{2x} ) - 3( \sqrt[3]{16x}) - 3( \sqrt[3]{8x} ) \)
Answer:
Step-by-step explanation:
edge 2021
darwin's geometric ratio of increase pertains specifically to
Darwin's geometric ratio of increase pertains specifically to the growth rate of populations in biological organisms. According to Darwin's theory of evolution, populations have the potential to increase exponentially over time if certain conditions are met. The geometric ratio of increase, often denoted as "r" or the intrinsic rate of natural increase, represents the factor by which a population multiplies during each reproductive cycle or generation.
In the context of natural selection, individuals with higher reproductive rates (higher r-values) have a greater chance of passing on their genetic traits to the next generation. Over time, this can lead to significant population growth and evolutionary changes within a species. However, the geometric ratio of increase is limited by various factors, such as availability of resources, competition, predation, and environmental constraints, which can result in a balance between population growth and environmental carrying capacity.
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In a survey of 200 pet owners in Kathleen's state, the average number of pets per household
was estimated to be 2.75. Using these survey results, Kathleen predicted that about
49,500 pets, in total, would live in 18,000 households in her state. Why is her prediction
flawed? How could she modify her prediction to make it more accurate?
To make her prediction more accurate, Kathleen could modify her approach by using a larger and more representative sample size, or by conducting a more in-depth survey that accounts for regional and socioeconomic variations.
Where is Kathleen mistaken?Kathleen's prediction is flawed because she assumed that the average number of pets per household would remain the same for all households in the state, which may not necessarily be true. The sample size of 200 households may not be representative of the entire population of households in the state, and there may be variations in the number of pets per household across different regions or socioeconomic groups.
To make her prediction more accurate, Kathleen could modify her approach by using a larger and more representative sample size, or by conducting a more in-depth survey that accounts for regional and socioeconomic variations. Alternatively, she could use data from existing sources, such as census data, to estimate the number of pets per household in different regions of the state and adjust her prediction accordingly. It's also worth noting that factors such as pet ownership trends, cultural attitudes towards pets, and population growth may also impact the accuracy of Kathleen's prediction and should be taken into account.
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If f(x) = 4x + 15, then f(-3) = ?
Answer:
\(\Huge \boxed{3}\)
Step-by-step explanation:
The function is given :
f(x) = 4x + 15
For f(-3), the input for the function f(x) is -3.
Replace the x variable with -3.
f(-3) = 4(-3) + 15
Evaluate.
f(-3) = -12 + 15
f(-3) = 3
The output for f(-3) is 3.
Answer: f(-3) = 3
Step-by-step explanation: Notice that f is a function of x.
So we want to find f(-3).
We find f(-3) by plugging -3 in for x,
everywhere that x appears in the function.
So we have 4(-3) + 15.
4(-3) is -12 so we have -12 + 15 which is 3.
So f(-3) is 3.
A survey asked high shcool students to pick their favorite subject. THe results are shown in the table
Answer:
Sorry there is no table or picture to show the subjects ;-;
Step-by-step explanation:
Answer:
Step-by-step explanation:
35
Which of the sets of ordered pairs represents a function? (1 point)
A = {(2,7), (1,-5), (7, 2), (2, -9)}
B = {(5,3), (-2,-9), (-3, 8), (9,3)}
a.
Only A
b.
Only B
C.
Both A and B
d.
Neither A nor B
Answer:
Only B
Step-by-step explanation:
A has 2 pairs with the x as the number 2, so they are not functions.
B has all independent pairs with their own numbers
So only B is the correct answer.
Find each product. (Please help me on this-i will give you brainlist!)
l think it's answer is this .
You can use your calculator.
Explain whether lines LM and NP are parallel or not using the triangle proportionality Theorem to support your answer
Answer:
yes parrallel line
Step-by-step explanation:
Parallel lines may seem boring, but they have their uses. One of their uses appears in the Triangle Proportionality Theorem, which uses a line constructed parallel to one side of a triangle to establish proportions for the other two sides.
A second investment account starts with $2,000 and grows by $150 each year. Which graph shows the values of this account?
Answer:
Visually, you should be seeing a linear graph because this problem can be represented as a linear equation: y = 150x + 2000. Graph this equation to find the answer.
Step-by-step explanation:
Required information [The following information applies to the questions displayed below.] Marathon Incorporated (a C corporation) reported $2,200,000 of taxable income in the current year. During the year, it distributed $220,000 as dividends to its shareholders as follows: - $11,000 to Guy, a 5 percent individual shareholder. - $33,000 to Little Rock Corporation, a 15 percent shareholder (C corporation). - $176,000 to other shareholders. (Leave no answer blank. Enter zero if applicable.) a. How much of the dividend payment did Marathon deduct in determining its taxable income? b. Assuming Guy's marginal ordinary tax rate is 37 percent, how much tax will he pay on the $11,000 dividend he received from Marathon Incorporated (including the net investment income tax)? c. What amount of tax will Little Rock Corporation pay on the $33,000 dividend it received from Marathon Incorporated (50 percent dividends-received deduction)? (Round your final answers to the nearest whole dollar amounts.)
a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. b) Guy will pay $4,070 in tax on the $11,000 dividend he received. c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated.
a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. This is because the dividends distributed to shareholders are not deductible expenses for the corporation. Dividends are paid out of after-tax profits and are not considered a deductible expense for the distributing corporation.
b) Guy will pay $4,070 in tax on the $11,000 dividend he received from Marathon Incorporated, including the net investment income tax. To calculate the tax, we need to consider Guy's marginal ordinary tax rate and the net investment income tax. Assuming Guy's marginal ordinary tax rate is 37 percent, the tax on the dividend would be $4,070 (0.37 * $11,000). The net investment income tax is an additional 3.8 percent tax on investment income for individuals with certain income thresholds, so it would also apply to the dividend income received by Guy.
c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated. This is because C corporations are eligible for a 50 percent dividends-received deduction. The dividends-received deduction allows corporations to exclude 50 percent of the dividends received from taxable income. In this case, Little Rock Corporation would be able to exclude $16,500 (50 percent of $33,000) from its taxable income, resulting in a tax liability of $0 on the dividend income.
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Kevin drove for 4 hours and then stopped to eat dinner. The total distance he had driven at different time intervals is shown on the graph below.⬇️
• Using the information in the graph, determine Kevin’s average speed during these 4 hours.
• Kevin will drive for an additional 2 hours after dinner. He expects to drive 130 miles during these 2 hours, under the same driving conditions as the trip represented in the graph. Is this a reasonable expectation? Explain your answer and show your work.
Answer:
If you want a simple average, you can add all the speeds you see and divide them by the number of how many they are.
So firstly you have to calculate the speed of the first point, which is:
20 miles/0.5 hour
That means: 40 miles/hour
That would be your first "speed"
Then you calculate all of them :speed1+speed2+speed3 = something.
As an example: 20miles/hr + 40miles/hr+0miles/hr = 60miles/hr
Then, you divide it by how many "speeds" they are: 60miles/hr divided by 3 if I continue my previous example.
It is my first answer, and I hope I could help you a bit!
Sorry for the awkward English, as it is not my mother tongue.
Step-by-step explanation:
Nine times the sum of a number and 2 is 8. Use the variable x for the unknown number
Write an expression for the nth term of the sequence. (your formula should work for n = 1, 2, .) 1 2 , 1 3 , 1 7 , 1 25 , 1 121 ,
The nth term of the sequence can be expressed as: \(1 / (n^2)\)
The given sequence is: 1, 2, 1/3, 1/7, 1/25, 1/121, ...
To find an expression for the nth term of this sequence, we can observe that each term is the reciprocal of a specific pattern of numbers: 1, 2, 3, 4, 5, 6, ...
Notice that the numerator of each term follows a pattern of increasing consecutive positive integers: 1, 2, 3, 4, 5, 6, ...
The denominator of each term follows a pattern of perfect squares: \(1^2, 2^2, 3^2, 4^2, 5^2, 6^2, ...\)
Therefore, the nth term of the sequence can be expressed as:
\(1 / (n^2)\)
So, the expression for the nth term of the sequence is \(1 / (n^2)\). This formula will work for n = 1, 2, 3, and so on.
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Find the minifloat format as defined in our class for the following real number. 3.625
The minifloat representation of the real number 3.625 in the specified format is 0 010 01.
In the minifloat format, the number of bits allocated for the sign, exponent, and mantissa can vary based on the specific implementation. Let's assume a common minifloat format with 1 bit for the sign, 3 bits for the exponent, and 4 bits for the mantissa.
Convert the number to binary:
The integer part of 3.625 is 3, which is represented as 11 in binary. The fractional part is 0.625, which can be converted to binary as follows: 0.625 x 2 = 1.25 -> 1 (integer part) and 0.25 (remaining fractional part). Repeating this process, we get the binary representation of the fractional part as 0.101.
Normalize the binary representation:
Since the integer part is already in binary, we need to normalize the fractional part by shifting it to the left until the leading bit is 1. In this case, the normalized fractional part is 1.01.
Determine the exponent:
The exponent is calculated by counting the number of positions the binary point was shifted during the normalization process. In this case, the binary point was shifted two positions to the left, so the exponent is 2.
Represent the number in minifloat format:
The sign bit is 0 (positive), the exponent is 2 (represented as 010 in 3 bits), and the mantissa is the remaining 4 bits, which in this case is 01.
Putting it all together, the minifloat representation of the real number 3.625 in the specified format is 0 010 01.
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What is the cube of 6?
A. 216
B. 42
C. 36
D. 18
Answer:
A
Step-by-step explanation:
Cubes are numbers that are multiplied by itself three times so 6 times 6 times 6 is 216
Find the distance between the spheres x2 + y2 + z2 = 4 and x2 + y2 + 22 = 8x + 8y + 8z - 47. X
The distance between the two spheres is 6 - √5 units.
To find the distance between the spheres x² + y² + z² = 4 and x² + y² + z² = 8x + 8y + 8z - 47, first rewrite the second equation:
x² - 8x + y² - 8y + z² - 8z = -43
Now, complete the squares for x, y, and z terms:
(x - 4)² - 16 + (y - 4)² - 16 + (z - 4)² - 16 = -43
Combine the constants:
(x - 4)² + (y - 4)² + (z - 4)² = 5
Now, we have two spheres with centers (0, 0, 0) and (4, 4, 4) and radii 2 (from √4) and √5 (from √5), respectively. To find the distance between the spheres, subtract their radii from the distance between their centers:
Distance = √[(4 - 0)² + (4 - 0)² + (4 - 0)²] - 2 - √5
Distance = √(64) - 2 - √5
Distance = 8 - 2 - √5
So, the distance between the two spheres is 6 - √5 units.
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Write 8.72 repeating as a mixed number in simplest form.
Answer:
8.27/1
Step-by-step explanation:
8.27 = 8.27/1
8.27/1 = (8.27 × 100)
( 1 × 100) = 8.27/100
There is a line that includes the point (0, –9) and has a slope of -16/7 What is its equation in
slope-intercept form?
Answer:
y= -16/7x-9
Step-by-step explanation:
equation: y=mx+b where x and y are coordinates,m=slope and b=y intercept
slope= -16/7
coordinates=(0,-9)
input into the equation to get b(y-intercept):
-9=-16/7(0)+b
-9=0+b
b= -9
now input slope and y-intercept to get the equation:
y= -16/7+(-9)
y= -16/7x-9
Pls mark as brainliest :/
OR
Coordinate is (0,-9)
means at this point the line meets y-axis(i.e y-intercept) because x=0 so we get y intercept i.e -9
the gradient is given which is -16/7
just input into y=mx+b
y= -16/7x-9
the expression V27 + V12 is equal to
Answer:
V39
Step-by-step explanation:
Answer:
v39
Step-by-step explanation:
please give brainliest have a great day
Moving to another question will save this response. Assume the following information about the company C: The pre-tax cost of debt 2% The tax rate 24%. The debt represents 10% of total capital and The cost of equity re-6%, The cost of capital WACC is equal to: 13,46% 6,12% 5,55% 6,63%
The weighted average cost of capital (WACC) for company C is 6.63%.
What is the weighted average cost of capital (WACC) for company C?The weighted average cost of capital (WACC) is a financial metric that represents the average rate of return a company must earn on its investments to satisfy its shareholders and creditors. It takes into account the proportion of debt and equity in a company's capital structure and the respective costs associated with each.
To calculate WACC, we need to consider the cost of debt and the cost of equity. The cost of debt is the interest rate a company pays on its debt, adjusted for taxes. In this case, the pre-tax cost of debt is 2% and the tax rate is 24%. Therefore, the after-tax cost of debt is calculated as (1 - Tax Rate) multiplied by the pre-tax cost of debt, resulting in 1.52%.
The cost of equity represents the return required by equity investors to compensate for the risk associated with owning the company's stock. Here, the cost of equity for company C is 6%.
The debt represents 10% of the total capital, while the equity represents the remaining 90%. To calculate the weighted average cost of capital (WACC), we multiply the cost of debt by the proportion of debt in the capital structure and add it to the cost of equity multiplied by the proportion of equity.
WACC = (Proportion of Debt * Cost of Debt) + (Proportion of Equity * Cost of Equity)
In this case, the calculation is as follows:
WACC = (0.10 * 1.52%) + (0.90 * 6%) = 0.152% + 5.4% = 6.552%
Therefore, the weighted average cost of capital (WACC) for company C is approximately 6.63%.
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Simplify the expression by combining like terms.
Write the terms in alphabetical order of the
variables.
5x - 2y - 6z - 10x - 14y - 18z
Answer:
-5x - 16y - 24z
Step-by-step explanation:
5x - 2y - 6z - 10x - 14y - 18z
5x - 10x - 2y - 14y - 6z - 18z
-5x - 16y - 24z
Which statement best describes a line in slope intercept form when the
coefficient of the x-term is positive?
A. The line slants up.
B. The line is vertical.
C. The line is horizontal,
D. The line slants down.
A line in slope-intercept form ( y=mx+b) that has a positive x-term has a graph of the form:
Therefore, the line slants up.