Answer:
4⁶
Step-by-step explanation:
Exponent Rule: [tex]\frac{b^m}{b^n} =b^{m-n}[/tex]
4⁹/4³ = 4⁹⁻³ = 4⁶
what is the external net force exerted on a 3.5 kg papaya, which is being pushed across a table and has an acceleration of 2.2 m /s² to the left
Answer:
Given -
Mass (m) = 3.5 kgAcceleration (a) = 2.2 m/s²To find -
External net force exerted on papaya.Solution -
From the second law of motion i.e., F = MA
→ F = 3.5 × 2.2
→ 7.7 kg ms-²
Therefore, the external net force exerted on papaya is 7.7 kg m/s².
We have that the external net force exerted is
F=7.7N
From the question we are told
the external net force exerted on a 3.5 kg papaya, which is being pushed across a table and has an acceleration of 2.2 m /s² to the left
Generally the equation for the Force is mathematically given as
[tex]F=ma\\\\Therefore\\\\\F=3.5*2.2\\\\F=7.7N[/tex]
Therefore
The external net force exerted is
F=7.7N
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Please need help with this
The two-column proof shown above should be completed with the following reasons:
GivenGivenDefinition of midpointVertical angles theorem.CPCTCSAS congruence postulate.What is a midpoint?In Mathematics and Geometry, a midpoint is a point that lies exactly at the middle of two other end points that are located on a straight line segment.
In this context, we can prove that triangle MNO is congruent with triangle QPO by completing the two-column proof shown above with the following reasons:
Statements Reasons
1. PQ║MN Given
2. O is the midpoint of Np Given
3. NO ≅ OP Definition of midpoint
4. ∠MON ≅ ∠QOP Vertical angles theorem
5. ∠NMO ≅ ∠PQO CPCTC
6. ΔMNO ≅ ΔQPO SAS congruence postulate
In conclusion, SAS is an abbreviation for side, angle, side while CPCTC is an abbreviation for corresponding parts of congruent triangles are congruent.
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who ever answer all these questions will get brilliantist and 5 stars
Answer:
Step-by-step explanation:
Answer:
A. Because 4:5 and 8:10 are equivalent because
4:5 are already in the lowest term
8 and 10 are can simplify by 2 ensure that you know how to lowest term
8 ÷ 2 = 4 and 10 ÷ 2 = 5 Overall it equals to 4:5
B. Because 18:3 and 6:1 are equivalent because
6:1 are already in the lowest term
18 and 3 are can simplify by 3 ensure that you know how to lowest term
18 ÷ 3 = 6 and 3 ÷ 3 = 1 Overall it equals to 6:1
C. Because 2:7 and 10,000:35,000 are equivalent because
2:7 are already in the lowest term
10,000 and 35,000 are can simplify by 5,000 ensure that you know how to lowest term
10,000 ÷ 5,000 = 2 and 35,000 ÷ 5,000 = 7 Overall it equals to 2:7
Explain why 6:4 and 18:8 are not equal
18 and 8 are can simplify by 2 ensure that you know how to lowest term
18 ÷ 2 = 9 and 8 ÷ 2 = 2 Overall it equals to 9:2 not in 6:4
Explain why 3:6 and 6:3 are not equivalent
3:6 can also represent 6:3 just if you reverse it
3 and 6 are can simplify by 3 ensure that you know how to lowest term
3 ÷ 3 = 1 and 6 ÷ 3 = 2 Overall it equals to 1:2
The diagram represents
9:15 but you can simplify this ratio
9 and 15 are can simplify by 3 ensure that you know how to lowest term
9 ÷ 3 = 3 and 15 ÷ 3 = 5 Overall it equals to 3:5
In fruits
A. For every 4 apples there are 3 oranges
B. The ratio of bananas to oranges is 6:3
C. The ratio of apples to bananas is 4 to 6
D. For every 1 orange there are 2 bananas
f(n)=-2n^2- 3
g(n)= n-3
Find (f .g)(n)
Answer:
Basically it is asking you to multiply f(n) and g(n).
Step-by-step explanation:
(f.g)(n)=(2n^2-3)(n-3)
=2n^3-6n^2-3n+9
Which of the following numbers is divisible by 11?
Answer:
I dont see any numbers?
Find the slope of the line that contains (2, -3) and (-3,-3).
Answer:
0
Step-by-step explanation:
ΔX/ΔY=0
ΔX=-3-2=-5
ΔY=-3--3=0
A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water
are needed for each cup of milk?
A. 1/12
B. 3/4
C. 11/12
D. 1 1/3
Answer:
The answer is D 11/3
Step-by-step explanation:
Which point on the number line could represent 1.ModifyingAbove 6 with bar?
A number line going from negative 6 to positive 6. Point A is between negative 2 and negative 1, point B is between 0 and 1, point C is 1, point D is between 1 and 2.
A
B
C
D
Answer:
the answer is D
Step-by-step explanation:
im not quite sure how but i know because i checked when i got the final grade on my test
Answer:
D
Step-by-step explanation:
im taking the unit test
can anyone help with this?
Answer:
it's 9/25
Step-by-step explanation:
This is a short answer, just taking up space
Pls help me. Plus, working. Thank you
Answer:
Total surface area=228cm²
Step-by-step explanation:
Area of bottom(parallelogram)=12×12=144cm²
area of 1 triangle=1/2×8×12=48cm²
area of 3triangles=48×3=144cm²
Total surface area=144+144=228cm²
what is the domain and range of a cube root function?
1. x ≥ 0 and y ≥ 0
2. x ≤ 0 and y ≤ 0
3. x = all real numbers and y = all real numbers
4. All the above
The cube root function is a function of the form f(x) = ∛x. It is an odd function that maps real numbers to real numbers. The domain and range of a cube root function are as follows :Domain: The domain of a cube root function is the set of all real numbers (R).
This is because the cube root of any real number exists.Range: The range of a cube root function is also the set of all real numbers (R). This is because the cube root of a negative number is a negative number and the cube root of a positive number is a positive number. Hence, the cube root function maps all real numbers to real numbers. Therefore, the domain and range of a cube root function are the same and are equal to the set of all real numbers (R).In summary, the cube root function is a function that maps real numbers to real numbers. Its domain and range are the set of all real numbers.For such more question on cube root
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What is the area of the cross section of a sphere with a volume of about 5575. 3 m³
The area of the cross-section of the sphere with a volume of approximately 5575.3 m³ is approximately 330.29 m².
To find the area of the cross-section of a sphere, we need the radius of the sphere. However, given only the volume of the sphere (approximately 5575.3 m³), we cannot directly determine the radius.
The volume of a sphere is calculated using the formula:
V = (4/3) * π * r³,
where V is the volume and r is the radius of the sphere.
To find the radius, we can rearrange the formula:
r = ((3 * V) / (4 * π))^(1/3).
Substituting the given volume into the formula, we have:
r = ((3 * 5575.3) / (4 * π))^(1/3).
Using the value of π as approximately 3.14159, we can calculate the radius:
r ≈ ((3 * 5575.3) / (4 * 3.14159))^(1/3) ≈ 10.25 m.
Now that we have the radius (approximately 10.25 m), we can calculate the area of the cross-section of the sphere.
The formula for the area of a cross-section of a sphere is:
A = π * r².
Substituting the radius we found, we have:
A = π * (10.25)² ≈ 330.29 m².
The area of the cross-section of the sphere with a volume of approximately 5575.3 m³ is approximately 330.29 m².
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The lengths of the sides of a triangle are 5, 12, and 13. What is the length of
the longest side of a similar triangle whose perimeter is 90?*
The length of the longest side of a similar triangle whose perimeter is 90 would be 39 units.
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
We are given that lengths of the sides of a triangle are 5, 12, and 13.
The perimeter is 90.
Thus, the sum of sides of triangle are;
5x + 12x + 13x = 90
30x = 90
x =90/30
x = 3
Therefore, the longest side is 13x that will be;
13 (3) = 39 units.
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For what valuels of x is the equation |4x + 2| = x + 8 TRUE?
Answer:
[tex]x=-2\quad \mathrm{or}\quad \:x=2[/tex]
Step-by-step explanation:
[tex]|4x + 2| = x + 8 \\\\\mathrm{For\:each\:absolute\:find\:positive\:and\:negative\:intervals}\\\\\mathrm{Solve\:the\:inequality\:for\:each\:interval:}\\\\\mathrm{For\:}x<-\frac{1}{2}:\quad x=-2\\\\\mathrm{For\:}x\ge \:-\frac{1}{2}:\quad x=2\\\\\mathrm{Combine\:Solutions:}\\\\x=-2\quad \mathrm{or}\quad \:x=2[/tex]
Many of a bank's customers use its automatic teller machine to transact business after normal banking hours. During the early evening hours in the summer months, customers arrive at a certain location at the rate of one every other minute. This can be modeled using a Poisson distribution. Each customer spends an average of 90 seconds completing his or her transactions. Transaction time is exponentially distributed. Answer the following questions: Compute the probability that a customer will not have to wait upon arriving at the automatic teller machine (2 decimal points)
The probability that a customer will not have to wait upon arriving at the automatic teller machine is 0.78 (rounded to 2 decimal points).
To compute the probability that a customer will not have to wait upon arriving at the automatic teller machine, we need to determine the arrival rate and the service rate.
Customers arrive at a rate of one every other minute. This means the arrival rate (λ) is 1 customer per 2 minutes, or λ = 1/2 customers per minute.
Each customer spends an average of 90 seconds completing their transaction. This means the service rate (μ) is 1 customer per 90 seconds, or μ = 1/90 customers per second.
To calculate the probability that a customer will not have to wait, we can use the M/M/1 queueing model, where M represents the exponential distribution for both arrivals and service.
The formula for the probability that the system is in the empty state (no customers in the system) is given by:
P0 = 1 - (λ/μ)
Substituting the values:
P0 = 1 - (1/2) / (1/90)
P0 = 1 - (45/2)
P0 = 1 - 22.5
P0 = 0.775
Therefore, the probability that a customer will not have to wait upon arriving at the automatic teller machine is 0.78 (rounded to 2 decimal points).
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Which linear function represents the line given by the point-slope equation y +7=(x + 6)?
O RX) = x-11
O f(x) = -x-1
O f(x) = -x +3
O R(x) = -x +13
Answer:
O f(x) = -x-1
Step-by-step explanation:
We want to isolate the 'y' variable, so we will subtract 7 from both sides.
y = x + 6 - 7
y = x -1
The value of linear function represents the line given by the point-slope equation y + 7 = (x + 6) is,
⇒ y = x - 1
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 point-slope equation is,
y + 7=(x + 6)
Hence, We get;
y + 7=(x + 6)
y = x + 6 - 7
y = x - 1
Thus, The value of linear function represents the line given by the point-slope equation y + 7 = (x + 6) is,
⇒ y = x - 1
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In each diagram, linek is parallel to line 1, and line t intersects lines k and l.
1139
127°
113°
127°
799
xo
V
Vt
Based on the diagrams, which statement is true?
A The value of x is 79, because the two angles shown in each diagram are congruent.
B The value of x is 101, because the two angles shown in each diagram are supplementary.
C The value of x is greater than 90, because the two angles shown in each diagram are
obtuse angles
The value of x is 11, because the two angles shown in each diagram are complementary.
Answer:
Step-by-step explanation:
A
The value of x is 79° because the two angles shown in each diagram are congruent.
Option A is the correct answer.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
Line k is parallel to line l, and line t intersects lines k and l.
We see that,
79° and x° are alternate exterior angles.
Alternate exterior angles are congruent.
Thus,
x° = 79°
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Question # 3: (a). Define row space and column space of a matrix A. 1 2 -1] 19-1 (b). Find a basis for row space of matrix A= -38 3 -2 3 2 (i). that are not necessarily row vectors of A (ii). that are row vectors of A
The row space of a matrix A is the subspace spanned by the row vectors of A. It represents all possible linear combinations of the row vectors of A. The matrix A is the subspace spanned by the column vectors of A.
To find a basis for the row space of matrix A, we can perform row operations to reduce the matrix to row-echelon form. The nonzero rows of the row-echelon form of A will form a basis for the row space of A. These row vectors are not necessarily the same as the row vectors of A.
To find a basis for the row space of A that are row vectors of A, we can observe the nonzero rows of the original matrix A itself. These row vectors, without any row operations, will form a basis for the row space of A.
In the case of matrix A = [1 2 -1; 3 -8 7; -2 5 -3], we need to perform row operations to reduce the matrix to row-echelon form and identify the nonzero rows. The resulting nonzero rows will form the basis for the row space of A.
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A painter charges $15.36 per hour, plus an additional amount for the supplies. If he made $187.93 on a job where he worked 7 hours, how much did the supplies cost
Answer:
15.36×7=107.52
187.93-107.52=80.41
supplies cost $80.41
Determine if the function f(x)=x3+x is even, odd, or neither.
Answer:
Even
Step-by-step explanation:
Let x be any real number,
We know that the cubes of odd and even numbers are odds and evens respectively....
Hence,
If x was odd then,
[tex]f(Odd)=(Odd)^3+Odd\\f(Odd)=Odd+Odd\\f(Odd)= Even[/tex]
If x was even then,
[tex]f(even)=(even)^3+even\\f(even)=even+even\\f(even)=even[/tex]
If a dozen cupcakes cost $14, how much
does one-fourth of a dozen cupcakes
cost?
Answer:
The answer is A 3.50 if you divide 14 by 4 it would be 3.50
The radius of a sphere is increasing at a constant rate of 2 inches per minute. At the instant when the radius of the sphere is 9 9 inches, what is the rate of change of the volume?
Given: The radius of a sphere is increasing at a constant rate of 2 inches per minute. At the instant when the radius of the sphere is 9 inches,
We need to find the rate of change of volume.
Using the formula of the volume of the sphere:
V = (4/3)πr³Where V is the volume and r is the radius.
Now differentiate it with respect to time t on both sides to find the rate of change of volume.
dV/dt = d/dt[(4/3)πr³]
dV/dt = 4πr²(dr/dt)Put the given values in the above formula and solve for dV/dt.
r = 9 inches, dr/dt = 2 inches/minute
So, dV/dt = 4πr²(dr/dt)dV/dt
= 4π(9²)(2)
cubic inches/minute
Therefore, the rate of change of the volume of the sphere is 1017.87 cubic inches/minute (approx.).
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6.403 divided by 8 rounded to the nearest 10th
Answer:
0.8
Step-by-step explanation:
6.403 divided by 8 equals 0.800375, so that rounded to the nearest tenth would be 0.8.
Answer:
0
Step-by-step explanation:
Frank is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A has no initial fee but charges 80 cents for every mile driven. Company B charges an initial fee of $70 and an additional 60 cents for every mile driven. For what mileages will Company A charge more than Company B? Use m for the number of miles driven, and solve your inequality for m. O
Company A will charge more than Company B for mileages greater than 70/(0.60 - 0.80) = 350 miles.
To determine the mileages for which Company A charges more than Company B, we need to compare the cost functions of the two companies. Let C_A(m) represent the cost for Company A and C_B(m) represent the cost for Company B.
For Company A, the cost function is C_A(m) = 0.80m, as there is no initial fee and they charge 80 cents per mile driven.
For Company B, the cost function is C_B(m) = 70 + 0.60m, as there is an initial fee of $70 and an additional 60 cents per mile driven.
To find the mileage at which Company A charges more than Company B, we set the two cost functions equal to each other and solve for m:
0.80m = 70 + 0.60m
0.80m - 0.60m = 70
0.20m = 70
m = 70 / 0.20
m = 350
Therefore, for mileages greater than 350 miles, Company A will charge more than Company B.
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PLZ HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER!!!!! Which is the solution to the system of equations? 2x−y+2z=−3 −x+3y−2z=11 −2x+y+2z=−5
Answer:
x = 2
y = 3
z = -2
Step-by-step explanation:
PLEASE HELP ME FIND THE ANSWERR
Answer:
your answer should be 1,435.11 u think
A 38- ounce bottle of juice drink contains 6 percent water. Than computed 6 percent of 38. His work is shown below.
6 percent of 38 = 0.6 x 38-22.8
Which statement explains Than's error? please help
Answer:
see below
Step-by-step explanation:
6 percent changed to decimal form is
6/100 = .06 not .6
6 5 of 38
.06 * 38 = 2.28
38 -2.28 =35.72
answer
38 -2.28 =35.72
what does 50 1/2 x 1/4 =
Answer:
101/8 or 12.625 or 12 5/8
Step-by-step explanation:
These are all the same you can just write it however you'd like.
Hope this helps.
Find the monomial if the expression is the square of that monomial. 0.0001a^(8)x^(4)
We've found the monomial if the expression is the square of that monomial, which is [tex]0.0001a^(8)x^(4).[/tex]
A monomial is defined as an expression in which all of the terms are multiplied by constants, variables, or both, with no additions or subtractions.
Let's begin by writing the given expression as the square of a monomial.
[tex]0.0001a^(8)x^(4) = (a^(n/2) * x^(m/2))^2[/tex]
We can extract the square root of the expression to get the original monomial:
[tex]sqrt(0.0001a^(8)x^(4)) = sqrt(a^(8/2) * x^(4/2))0.01ax^2[/tex]
is the required monomial.
The process of finding the square of a monomial is known as squaring a monomial.
It entails taking a monomial and squaring each of its terms.
A monomial is a polynomial with one term.
We can extract the square root of an expression to get the original monomial if the expression is the square of a monomial.
The formula for the square of a monomial is as follows:
[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]
If we square a binomial, we use the FOIL method to get the expansion:
[tex](a + b)^2 = a^2 + ab + ba + b^2\\ = a^2 + 2ab + b^2[/tex]
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Gross profit margin (GPM) measures the amount of gross profit (GP) generated with net sales. It gives us the company’s ability to earn profit on its inventories. Higher the ratio, more favorable it is. Compute it as follows:
Gross Profit Margin (GPM) is a metric used to calculate the percentage of gross profit earned by a business on its sales. The gross profit is calculated as revenue minus cost of goods sold (COGS), and the formula for gross profit margin is:(Gross Profit ÷ Revenue) x 100%.
The gross profit margin reveals the percentage of sales that turn into gross profit. A company with a higher gross profit margin has a better chance of generating a good profit than one with a lower gross profit margin. The gross profit margin formula allows companies to determine how much revenue is remaining to cover operating expenses and net profit. In computing gross profit margin, the following steps should be taken:
First, calculate gross profit as follows: Revenue - Cost of Goods Sold (COGS) = Gross Profit.
Then, use this formula to compute gross profit margin: Gross Profit ÷ Revenue x 100%.
The gross profit margin is an important ratio used to assess a company's profitability. It is important because it reflects the percentage of sales that contribute to covering operating expenses and generating net profits. A higher gross profit margin ratio indicates that a company is earning enough on sales to cover its operating expenses and generate profits.However, one of the major drawbacks of using gross profit margin as a profitability metric is that it does not account for operating expenses. This is why it is important to calculate other profitability metrics, such as operating profit margin, to gain a complete picture of a company's profitability.It is also important to compare gross profit margins over time and with industry averages to determine how a company is performing relative to its peers. A declining gross profit margin may indicate increasing costs, pricing pressures, or a shift in product mix. Conversely, an increasing gross profit margin may suggest that the company has a competitive advantage, pricing power, or is reducing its costs.
In summary, the gross profit margin measures the percentage of revenue that contributes to gross profit. A higher gross profit margin indicates that a company is earning enough on sales to cover its operating expenses and generate profits. However, it is important to compare gross profit margins over time and with industry averages to determine how a company is performing relative to its peers. Finally, it is important to use other profitability metrics, such as operating profit margin, to gain a complete picture of a company's profitability.
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