Aaron can mow 2400 square feet in 3/4 of an hour. How fast can he
mow in square feet per hour
Answers
Answer:
he mow in square feet per hour : 2400 x (4/3) =3200 square feet/ per hour
Step-by-step explanation:
Related Questions
This is not a test , please help me !
Answers
Step 1: Write out the function
\(f(x)=3^x\)Step 2: Evaluate the functions at x=1,3,4 and 6
\(\begin{gathered} f(1)=3^1 \\ f(3)=3^3 \\ f(4)=3^4 \\ f(6)=3^6 \end{gathered}\)Step 3: Compute f(6)/f(4)
\(\frac{f(6)}{f(4)}=\frac{3^6}{3^4}=3^{6-4}=3^2\)Step 4: Compute f(3)/f(1)
\(\frac{f(3)}{f(1)}=\frac{3^3}{3^1}=3^{3-1}=3^2\)Step 5: Compare f(6)/f(4) and f(3)/f(1)
\(\frac{f(6)}{f(4)}=3^2\)\(\frac{f(3)}{f(1)}=3^2\)Therefore,
\(\frac{f(6)}{f(4)}=^{}\frac{f(6)}{f(4)}\)100 PTS solve for x ................
Answers
Answer:
x ≈ 36.2
Step-by-step explanation:
the segment from the vertex of the triangle to the base is a perpendicular bisector, then
consider the right triangle on the right with legs 15 and 33 , hypotenuse x
using Pythagoras' identity in the right triangle
x² = 15² + 33² = 225 + 1089 = 1314 ( take square root of both sides )
x = \(\sqrt{1314}\) ≈ 36.2 ( to the nearest tenth )
Answer:
36.2
Step-by-step explanation:
The tick marks on the two sides of the triangle indicate that the sides are of equal length. Therefore, as the triangle has two sides of equal length, it is an isosceles triangle.
In an isosceles triangle, the altitude is the perpendicular bisector of the base. Therefore, the triangle is made up of two congruent right triangles with:
height = 33base = 30/2 = 15hypotenuse = xTo calculate the value of x, we can use Pythagoras Theorem:
\(\boxed{a^2+b^2=c^2}\)
where:
a and b are the legs of the right triangle.c is the hypotenuse (longest side) of the right triangle.Substitute the values into the formula and solve for x:
\(\implies 15^2+33^2=x^2\)
\(\implies 225+1089=x^2\)
\(\implies 1314=x^2\)
\(\implies x^2=1314\)
\(\implies \sqrt{x^2}=\sqrt{1314}\)
\(\implies x=36.2491379...\)
\(\implies x=36.2\; \rm (nearest\;tenth)\)
Therefore, the value of x is 36.2 units (nearest tenth).
Consider the transformation Y = g(X) = 2 −3X, for the random variable X, where the cdf for X is<
FX (x) = 0 , x > 0
1 −e^−4x , x >0
Find the cdf for Y.
Answers
The CDF of Y is: FY(y) = FX((2 - y)/3)
= {1 - \(e^{(-4(2-y)/3)}\), for y ∈ (-∞, 2]
{0, for y < -∞
To find the CDF of Y, we need to first find the range of Y:
Y = g(X) = 2 - 3X
When X = 0, Y = 2
As X approaches infinity, Y approaches negative infinity
Thus, the range of Y is (-∞, 2].
Now, let's find the CDF of Y for y ∈ (-∞, 2]:
FY(y) = P(Y ≤ y) = P(2 - 3X ≤ y)
Solving for X:
X = (2 - y)/3
Since FX(x) = P(X ≤ x), we can substitute (2 - y)/3 for x in FX(x) to get:
FX((2 - y)/3) = P(X ≤ (2 - y)/3)
= 1 - \(e^{(-4(2-y)/3)}\), for y ∈ (-∞, 2]
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A person invested $8100 for 1 year, part 5%, part at 11%, and the remainder at 14%. The total annual income from these investments was $942. The amount of money invested at 14% was $500 more than the amounts invested at 5% and 11% combined. Find the amount invested at each rate.
Answers
The formula is
\(C=c(1+n\times i)\)Where C is the total, c initial capital, n the number of years and i interest percentage
We can modify the formula to express the total won
\(C=c_1(1+n\times i_1)+c_2(1+n\times i_2)+c_3(1+n\times i_3)\)Where c1 is the par 5%, C2 the par at 11% and c3 the par at 14%
i1,i2 and i3 the percentage of interest applied to each part
as a total you must use the total earned plus the initial capital
so replacing
\(\begin{gathered} 8100+942=c_1(1+1\times0.05)+c_2(1+1\times0.11)+c_3(1+1\times0.14) \\ 9042=c_1(1.05)+c_2(1.11)+c_3(1.14) \end{gathered}\)this was our first equation
the next comes from: the sum of all inverted parts is 8100
so
\(c_1+c_2+c_3=8100\)hitrd equation is from: The amount of money invested at 14% was $500 more than the amounts invested at 5% and 11% combined.
\(c_3=c_1+c_2+500\)Solution of the equations
\(\begin{gathered} 9042=c_1(1.05)+c_2(1.11)+c_3(1.14) \\ c_1+c_2+c_3=8100 \\ c_3=c_1+c_2+500 \end{gathered}\)we replace the third equation on the second
\(\begin{gathered} c_1+c_2+(c_1+c_2+500)=8100 \\ 2c_1+2c_2=8100-500 \\ 2c_1=7600-2c_2 \\ \\ c_1=\frac{7600-2c_2}{2} \\ \\ c_1=3800-c_2 \end{gathered}\)now replace c3 and c1 on the first equation to find c2
\(9042=(3800-c_2)(1.05)+c_2(1.11)+(c_1+c_2+500)(1.14)\)now replace c1 again
\(9042=(3800-c_2)(1.05)+c_2(1.11)+(3800-c_2+c_2+500)(1.14)\)and find c2
\(\begin{gathered} 9042=3990-1.05c_2+1.11c_2+(4300)(1.14) \\ 9042-3990=0.06c_2+4902 \\ 5052-4902=0.06c_2 \\ 150=0.06c_2_{} \\ \\ c_2=\frac{150}{0.06}=2500 \end{gathered}\)the value of c2 or the part at 11% is $2,500
now we can replace c2 in one of the equations we solved, for example this
\(c_1=3800-c_2\)and find c1
\(\begin{gathered} c_1=3800-2500 \\ c_1=1300 \end{gathered}\)the value of c1 or the part at 5% is $1,300
now we can repalce c1 and c2 on the equation
\(c_1+c_2+c_3=8100\)and find c3
\(\begin{gathered} 1300+2500+c_3=8100 \\ c_3=8100-1300-2500 \\ c_3=4300 \end{gathered}\)the value of c3 or the part at 14% is $4,300
the total values are
part at 11% is $2,500
part at 5% is $1,300
part at 14% is $4,300
Policies Current Attempt in Progress On May 1, 2021, Sheffield Company sells office furniture for $300000 cash. The office furniture originally cost $746800 when purchased on January 1, 2014. Depreciation is recorded by the straight-line method over 10 years with a salvage value of $80200. What gain should be recognized on the sale? (Hint: Use 7.333333 for years used in calculation.) O $44540. O $22220. O $84080. O $42040. Save for Later -/5 = 1 Attempts: 0 of 1 used Submit Answer
Answers
To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.
First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.
Depreciation per year = (Cost - Salvage Value) / Useful Life
Depreciation per year = ($746,800 - $80,200) / 10 years
Depreciation per year = $66,160
Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.
Accumulated Depreciation = Depreciation per year × Years
Accumulated Depreciation = $66,160 × 7.33 years
Accumulated Depreciation = $484,444.80
Now, we can calculate the book value of the furniture:
Book Value = Cost - Accumulated Depreciation
Book Value = $746,800 - $484,444.80
Book Value = $262,355.20
Finally, we can calculate the gain on the sale:
Gain on Sale = Sale Price - Book Value
Gain on Sale = $300,000 - $262,355.20
Gain on Sale = $37,644.80
Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.
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The gain that should be recognized on the sale of the office furniture is $84,080.
The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.
Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.
For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420
Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.
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so uh this is due tomorrow
Answers
Help plz ASAP for 20pts
Answers
Answer:
Not sure if this is correct but this is what I found.
area of sector=74.84
radius = 8
angle of sector=?
74.84=1/2×8²×angle of sector
74.84=32 × angle of sector
74.84/32= angle of sector
2.33875=angle of sector
Step-by-step explanation:
Sorry if it is incorrect.
Solving linear inequalities: mastery test which number line shows the solution set to this inequality? -2x + 9 < x - 9
Answers
Answer:
Step-by-step explanation:
-2x + 9 < x - 9 Add 9 to both sides
-2x + 9 + 9 < x - 9 + 9 Combine
-2x + 18 < x Add 2x to both sides
-2x+2x + 18 < x + 2x Combine
18 < 3x Divide by 3
18/3 < 3x/3
6 < x
If I have 20 apples and I eat 20, and a friend gives me 20 more, and I eat those 20 again, how many apples do I have in total?
Answers
Answer:
0
Step-by-step explanation:
If you have 20 apples and you eat 20, and a friend gives you 20 more, and you eat those 20 again, 20-20=0+20=20-20+0
Have a good day
Can i get help please i will mark brainlest
Answers
Answer:
7. 78
8. 169
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
What is the absolute value of 8 and -8? Explain your response.
Answers
Answer:
The absolute value of 8 and -8 are both 8.
Step-by-step explanation:
Absolute value is the amount that these numbers are away from 0. The absolute value can never be negative. The absolute value is 8 for both positive and negative 8.
Able, Baker, and Charlie are the only three stocks in an index. The stocks sell for $37, $312, and $94, respectively. If Able undergoes a 3-for-4 reverse stock split, what is the new divisor?
Answers
In order to calculate the new divisor for a 3-for-4 reverse stock split, we must first calculate the new share price for Able. Since 3/4 of the shares are being replaced with just 1/4 of the old shares, the new price for Able will be $111 (3 x $37 = $111).
The divisor is used to calculate the new index value by dividing the sum of the new share prices by the divisor. Therefore, the new divisor will be 1.33 ($111 + $312 + $94 = $517 / 1.33 = $389.28). This is because the new share prices will total $517 and when you divide that by the divisor, the index value will be $389.28.
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Someone help and please make sure it’s right?
Answers
Answer:
I think it is 8.8 yards because its not bigger than 10 and not smaller than 6
(co 5) a landscaping company claims that at least 90% of workers arrive on time. if a hypothesis test is performed that fails to reject the null hypothesis, how would this decision be interpreted?
Answers
If a hypothesis test is performed that fails to reject the null hypothesis, it means that the evidence provided by the sample data is not strong enough to support the alternative hypothesis.
In the case of the landscaping company, it would mean that there is not enough evidence to support the claim that at least 90% of workers arrive on time.
Therefore, the null hypothesis that the proportion of workers arriving on time is less than 90% cannot be rejected at the chosen significance level.
However, it is important to note that failing to reject the null hypothesis does not necessarily mean that the null hypothesis is true, but rather that there is not enough evidence to support the alternative hypothesis.
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in class, michael and kayla were working together on the following problem in class: find sx 3√3 −2x dx. (a) kayla says, "u should be (3 −2x) because i always pick the most inside factor of a function as my u." i. will kayla’s substitution work in this case? explain your reasoning. ii. does kayla’s idea work for all u-substitutions (if it does explain, if not give an example were it does not)? (b) michael says the u should be 3√3 −2x because i always pick the most complicated factor of a function as my u." i. will michael’s substitution work in this case? explain your reasoning. ii. does michael’s idea for all u-substitutions (if it does explain, if not give an example were it does not)?
Answers
a. If we let u = (3 - 2x), then the derivative du/dx would be -2, which is not equal to zero. This indicates that the substitution does not satisfy the requirement for u to be differentiable.
b. Michael's substitution satisfies the requirement for u to be differentiable.
(a) i. Kayla's proposed substitution of u as (3 - 2x) will not work in this case. The reason is that when using the u-substitution method, it is necessary for the chosen u to be differentiable, meaning that its derivative du/dx should exist and be non-zero. However, if we let u = (3 - 2x), then the derivative du/dx would be -2, which is not equal to zero. This indicates that the substitution does not satisfy the requirement for u to be differentiable.
ii. Kayla's idea of always picking the most inside factor as u does not work for all u-substitutions. There can be cases where choosing the most inside factor may not lead to a valid substitution that simplifies the problem or makes integration easier. It is important to consider the properties of the function and choose a suitable substitution accordingly.
(b) i. Michael's proposed substitution of u as 3√3 - 2x will work in this case. If we let u = 3√3 - 2x, then the derivative du/dx would be -2, which is non-zero. Therefore, Michael's substitution satisfies the requirement for u to be differentiable.
ii. Michael's idea of always picking the most complicated factor as u also does not hold true for all u-substitutions. The choice of u depends on various factors, including the structure of the function, simplification possibilities, and making the integration process more manageable. It is not necessarily the case that the most complex factor will always result in a successful substitution.
It is important to consider the specific characteristics of the function and apply appropriate judgment in choosing the substitution u to simplify the problem effectively.
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Write the slope-intercept form of the equation of the line.
Answers
y = 1x + 2
The slope-intercept form of the equation if y = mx + b.
m is the slope, and b is the y-intercept, so if you look at the graph, the y-intercept is given to you, as well as the slope.
Answer:
y=x+2
Step-by-step explanation:
Hope this helps!
A standardized test is designed so that scores have a mean of 50 and a standard deviation of 4. What percent of scores are between 42 and 58?A.100%B. about 95.4%C. about 23.85%D. about 47.7%
Answers
Step 1. The information that we have is:
The mean:
\(\mu=50\)The standard deviation:
\(\sigma=4\)Step 2. To solve this problem and find what percent of scores are between 42 and 58, we use the empirical rule:
• The empirical rule for normally distributed data tells us that about 68% of the data falls under 1 standard deviation from the mean, about 95% falls under 2 standard deviations from the mean, and 99.7% of the data falls under 3 standard deviations from the mean.
Step 3. The following diagram represents the situation:
The marks on the graph are calculated as follows:
\(\begin{gathered} \mu-\sigma=50-4=46 \\ \mu+\sigma=50+4=54 \\ \mu+2\sigma=50-2\cdot4=50-8=58 \\ \mu-2\sigma=50-2\times4=50-8=42 \end{gathered}\)This is represented in the image:
Step 4. As you can see in the previous graph, 42 and 58 are 2 standard deviations away from the mean, this means that about 95% of the data will be between those values.
The option closest to 95% is B. about 95.4%
Answer: B. about 95.4%
write an equation that goes through (4,3) and is parallel to 2y+8x=20
Answers
47 Step-by-step explanation:
find the dot product and the angle between and . , question content area bottom part 1 negative 5 (simplify your answer. type an exact value, using radicals as needed.) part 2 the angle between and is 1.8. (do not round until the final answer. then round to the nearest tenth as needed.)
Answers
Rounded to the nearest tenth, the angle between the two vectors is approximately 1.8. To find the dot product between two vectors, we multiply their corresponding components and sum the results.
To find the dot product between two vectors, we multiply their corresponding components and sum the results. Let's denote the two vectors as v and w. Given that the components of v are 1 and -5, and the components of w are -5 and 0, the dot product can be calculated as follows:
v · w = (1 * -5) + (-5 * 0) = -5 + 0 = -5
Now, let's find the angle between the two vectors. The dot product can be used to find the angle using the formula:
cos(theta) = (v · w) / (||v|| * ||w||)
Where ||v|| and ||w|| represent the magnitudes (lengths) of the vectors. In this case, both vectors have a magnitude of \(\sqrt(26)\).
Substituting the values into the formula:
cos(theta) = -5 / \((\sqrt(26) * \sqrt(26))\) = -5 / 26
To find the angle theta, we can use the inverse cosine function:
theta = acos(-5 / 26)
Evaluating the expression gives:
theta ≈ 1.810
Rounded to the nearest tenth, the angle between the two vectors is approximately 1.8.
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Which of the following formulas is CORRECT for finding the present value of an investment
A) FV = PV/(1 + r)^n
B) PV = FV x (1 + r)n
C) PV = FVn x (1 + r)
D) PV = FV x 1/(1 + r)^n
Answers
The correct formula for finding the present value of an investment is given by option D) PV = FV x 1/(1 + r)^n.
The present value (PV) of an investment is the current value of future cash flows discounted at a specified rate. The formula for calculating the present value takes into account the future value (FV) of the investment, the interest rate (r), and the number of periods (n).
Option D) PV = FV x 1/(1 + r)^n represents the correct formula for finding the present value. It incorporates the concept of discounting future cash flows by dividing the future value by (1 + r)^n. This adjustment accounts for the time value of money, where the value of money decreases over time.
In contrast, options A), B), and C) do not accurately represent the present value formula and may lead to incorrect calculations.
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Anna and Bill share a 16-ounce box of cereal. By the end of the week, Anna has eaten
5
8
of the box, and Bill has eaten
1
4
of the box of cereal. How many ounces are left in the box?
Answers
Answer:
2 ounces
Step-by-step explanation:
1 = 5/8 - 1/4 = 1/8
16 x 1/8 = 2 oz
Answer:
2 ounces left
Step-by-step explanation:
if anna ate 5/8 of the box, and Bill has eaten 1/4 of the box, then in total they’ve eaten 7/8 if the box (1/4 turns into 2/8 + 5/8)
1/8 of the box is left and 1/8 of 16 is 2. so 2 ounces would be left
The school events committee is planning to buy a banner and some helium balloons for graduation night. A store charges them $35 for the banner and $3 for each helium balloon. If the committee has at most $125 to spend, how many helium balloons can they buy
Answers
Answer:
30 baloons
Step-by-step explanation:
1. Remove the price of the banner from the total amount you can spend. You should then end up with $90
2. Divide 90 by 3, because each balloon costs $3. You should end up with 30.
Answer:
30 balloons
Step-by-step explanation:
Cost of banner = $ 35
Remaining amount after paying for banner = 125 - 35 = $90
Number of balloons = Remaining amount ÷ cost of one balloon
= 90 ÷ 3
= 30
simplify the following expression
3+(6x)=
Answers
1st solve the bracket=6xX=6x
3+6x=9x
hope i helped
Which expression is equivalent to (3^5 x^2)^4 use step by step
Answers
Answer:
look at the screenshot
Step-by-step explanation:
List all the permutations of four objects m, I, n, and k taken two at a time without repetition. What is P? List all the permutations of four objects m, I, n, and k taken two at a time without repetition. Choose the correct answer below. O A. m, mn, mk, In, lk, nk OB. ml, mn, mk, Im, in, lk, nm, nl, nk, km, kl, kn OC. m. I, n,k OD. mm, ml, mn, mk, II, In, lk, nn, nk, kk What is P2?
Answers
The permutations of four objects m, I, n, and k taken two at a time without repetition are: mn, mk, mi, nm, nk, ni, km, kn, ki, in, im, ik.
P is the total number of permutations, which is equal to 12.
The correct answer is OB, which lists all 12 permutations.
P2 is the number of permutations taken two at a time with repetition allowed. This means that we can repeat the same object in a permutation.
There are 16 possible permutations with repetition allowed: mm, ml, mn, mk, ll, ln, lk, nn, nk, kk, ii, ik, nn, ni, nk.
Therefore, P2 is equal to 16.
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Statements and Reasons Chart:
Answers
ABCD is a parallelogram.
The proof is given below.
What is parallelogram?A special form of quadrilateral called a parallelogram has both pairs of opposite sides parallel and equal.
Given:
ABCD is a quadrilateral.
The diagonal of ABCD are AC and BD.
∠1 ≅ ∠2
That means AB = CD. (the sides of opposite angles)
And BE = ED.
and BD bisect AC at E.
That means BE = BD.
To prove ABCD is a paralleogram:
∠AED ≅ ∠BED (opposite angle)
And EC = AE (given)
So, BC = AD.
The sides are equally spaced because the diagonals bisect each other.
So, the opposite sides are parallel.
Therefore, ABCD is a parallelogram.
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If 3m = 19 - n and 2m + 5n = 30, then what is the value of m?
Answers
Answer:
m=5
Step-by-step explanation:
We can solve this by using a system of equations. The easiest way to solve this is by using substitution.
3m=19-n Subtract both sides by 19 to find n.
-19 -19
3m-19=-n Divide everything by -1 to make n positive.
/-1 /-1
n=-3m+19
Now, we can substitute n into the second equation.
2m+5(-3m+19)=30 Substitute (-3m+19) into n.
2m-15m+95=30 Simplify.
-13m+95=30 Simplify and subtract both sides by 95.
-95 -95
-13m=-65 Divide both sides by -13.
/-13 /-13
m=5
We don't need to solve for n at all, so that is the answer!
Hope this helps, and have an amazing day ♥
Factoring is the process of writing a polynomial as a:.
Answers
Answer:
Step-by-step explanation:
Factors are 2 numbers that multiply to get the number.
EX.
2 and 4 are factors of 8
or
5 and 6 are factors of 30
So if you are given a polynomial, and they want you to factor it. They want you to find other polynomials or numbers that multiply to your original polynomial. Typically in the form of ( ) ( )
EX.
x² + 6x + 8 this is a polynomial
(x+4)(x+2) (x+4) and (x+2) are factors of that polynomial
12 + 4r-9= 9x + 7 - 5x
Answers
Answer:
-2x+4r = 4 i think
Step-by-step explanation:
I WILL GIVE YOU BRAINLY PLSS
Translate the phrase: twice m increased by 2 is equal to 7 more than m.
A. m/2 + 2 = 7 + m
B. 2m + 2 = 7 + m
C. 2m + 2 = m + 7
C. 2m * 2 = m + 7
PLSS SHOW YOUR WORK PLSS
Answers
twice m is 2m, increased by 2 is + 2, equals 7 more than m is m + 7. So C is your correct answer.
Answer:
C
Step-by-step explanation:
twice m increased by 2, is basically 2m + 2. Seven more than m translate to m+7. Hope that helps.