Answer:
15^7/4
Step-by-step explanation:
A=15 b=7 c=4
.......
Answer:
A = 15 C= 7 B=4
Step-by-step explanation:
Okay so as you can see there is \(15^{7}\) so A would be 15 and C would be 7 and B would be 4
The equation 6x = 3y -12 is linear
True or False
Answer:
True :D .....................
creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in_________.
Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.
What is problem-solving?
Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.
Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.
Below are the steps in problem-solving:
Step 1: Define the Problem
Step 2: Identify the Root Cause of the Problem
Step 3: Develop Alternative Solutions
Step 4: Evaluate and Choose Solutions
Step 5: Implement the Chosen Solution
Step 6: Monitor Progress and Follow-up on the Solution.
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boy can mow a lawn in 90 minutes and his sister can mow the same lawn in 60 minutes. how long will it take for both mowing at the same time to mow the lawn?
The time taken by both to mow the lawn is 36 minutes.
This is a question of time and work.
It is given that:-
Time taken by boy to mow the loan = 90 minutes.
Time taken by girl to mow the loan = 60 minutes.
We have to find the time taken by both of them together to mow the lawn.
LCM(60,90) = 180
Let the total work to be done to mow the lawn be 180 units.
Hence,
Efficiency of boy = 180/90 = 2 units
Efficiency of girl = 180/60 = 3 units
Total efficiency = 2 + 3 = 5 units.
Hence, time taken by both of them to mow the lawn = 180/5 = 36 minutes.
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Use the distributive property to write the following expression as an equivalent algebraic expression.
−2(−4 + c)
(A) −2(−4c)
(B) 8 + c8 + c
(C) −6 − 2c−6 − 2c
(D) 8 − 2c
€1 = £0.85. Change €345 into £.
£293.25
Step-by-step explanation:If 1 euro is worth 0.85 pounds, the total of 345 euros is 0.85 times the value of a single euro. This is therefore 0.85 * 345, or £293.25.
Nick was scuba diving at -32 1/2 feet. If he descends another 8 3/5 feet, what is his location?
Answer:
-41.1 feet
Step-by-step explanation:
-32.5-8.6=-41.1
1/2=0.5
3/5=6/10=0.6
Geetika bought 15.40m long cloth. The tailor cuts 11m and 5cm for dress and 2m 3 cm for a shirt and returned the remaining cloth to her what length of cloth geetika got
Answer:
The length of cloth Geeka got is 2.32m
Step-by-step explanation:
The length Geetika got can be calculated by deducting the total length the tailor cuts from the initial length of the cloth.
Initial length of cloth = 15.40m
From the question, the tailor cuts 11m and 5cm for dress and 2m 3 cm for a shirt.
Therefore, the total length the tailor cut = 11m 5cm + 2m 3cm = 13m 8cm
NOTE: 13m 8cm = 13.08m
The length Geeka got = 15.40m - 13.08m = 2.32m
Hence, the length of cloth Geeka got is 2.32m
Help!
5 easy math questions (Order of Operations)
( 10+14 ) divided by ( 13-5 )
8 x 3 x (10+6)
(9 + 36 - 5) divided by 8
( 8-4 ) + 10 divided by 5
( 8+27 - 5) divided by 3
These are super easy but I cannot deal rn lol. Please do the solving steps as well. Merci!
Answer:
3
384
5
2.8
10
Step-by-step explanation:
--------------------------------------
10 + 14 = 24 | 13 - 5 = 8
24 divided by 8 = 3
--------------------------------------
8 x 3 = 24 | 10 + 6 = 16
24 x 16 = 384
--------------------------------------
9 + 36 = 45 | 45 - 5 = 40
40 divided by 8 = 5
--------------------------------------
8 - 4 = 4 | 4 + 10 = 14
14 divided by 5 = 2.8
--------------------------------------
8 + 27 = 35 | 35 - 5 = 30
30 divided by 3 = 10
--------------------------------------
In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.The graph represents which system of inequalities?
The graph represents this system of inequalities:
F. y ≤ −x + 4
G. y ≤ 3x − 1
What is the point-slope form?In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.Next, we would determine the linear equation representing the line of f(x) which passes through the points (0, 4) and (4, 0) by using the point-slope form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 0 = (4 - 0)/(0 - 4)(x - 4)
y - 0 = -1(x - 4)
y = -x + 4
Therefore, an inequality representing the line of f(x) is y ≤ -x + 4
For the line of g(x), we have:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - (-1) = (5 - (-1))/(2 - 0)(x - 0)
y + 1 = 3(x - 0)
y = 3x - 1
Therefore, an inequality which represents the line of g(x) is y ≤ 3x - 1.
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Complete Question:
In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB. Graph of two intersecting lines. The line f of x is solid and goes through the points 0, 4, and 4, 0 and is shaded below the line. The other line g of x is solid, and goes through the points 0, negative 1 and 2, 5 and is shaded below the line. The graph represents which system of inequalities?
y ≤ −3x − 1
y ≤ −x − 4
y > −3x + 1
y ≤ −x − 4
y < 3x − 1
y ≤ −x + 4
y ≤ 3x − 1
y ≥ −x + 4
Solve the inequality
c - 12> -4
Answer:
c−12>−4
Step 1: Add 12 to both sides.
c−12+12>−4+12
c>8
Answer:
c>8
Step-by-step explanation:
what is 5x – 9 + 2x – 4 = 9.4
Answer:3.2
Step-by-step explanation:
3.2 because x =16/5=3 1/5=3.2
How many square inches of cloth are cut from the square (n = 3.14) if it’s 38inches
The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.
What is the area of the circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let r be the radius of the circle. Then the area of the circle will be
A = πr² square units
The radius is given as,
r = 36 / 2
r = 18 inches
The area of the circle is given as,
A = π x (18)²
A = 3.14 x 324
A = 1,017.36 square inches
The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.
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The complete question is given below.
A circle is cut from a square piece of cloth, as shown:
A square, one side labeled as 36 inches, has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaded.
How many square inches of cloth is cut from the square?
(π = 3.14)
1,017.36 in2
1,489.24 in2
1,182.96 in2
1,276.00 in2
I dont know this one
Answer:
10, 8
Step-by-step explanation:
l + w = 18
l*w = 80
8 and 10 works
Use the Fundamental Theorem of Calculus to evaluate (if it exists) ∫
0
2
f(x)dx where f(x)={
2x
4
−2x
5
if 0≤x<1
if 1≤x≤2
If the integral does not exist, type "DNE" as your answer.
The fundamental theorem of calculus states that the derivative of an integral is equal to the integrand. It relates the concept of differentiation and integration. The theorem has two parts: Part I and Part II. In part I, we see that if a function is continuous on the interval [a, b], then its definite integral over that interval can be computed using an antiderivative of that function. It is given by ∫baf(x)dx = F(b) - F(a).
In part II, we see that if f is continuous on the interval [a, b], then the derivative of its definite integral over that interval with respect to x is equal to f(x). That is, if F(x) = ∫baf(t)dt, then d/dx(F(x)) = f(x).
We use Part II of the theorem to solve the given problem.
Now, let us evaluate the integral ∫0² f(x)dx where f(x)={ 2x⁴−2x⁵ if 0≤x<1, if 1≤x≤2
We split the integral into two parts.∫0¹ f(x)dx + ∫1² f(x)dx = ∫0² f(x)dx∫0¹ 2x⁴−2x⁵ dx+ ∫1² 0 dx= [-2/3x³ + 1/2x⁶]0¹ + [0]1²= -2/3(1³-0³) + 1/2(2⁶-1⁶) = -2/3 + 63/2 = (127/6)
Therefore, ∫0² f(x)dx = 127/6.
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Which goal is most likely to be met with a certificate of deposit?
saving enough for retirement
O making a large profit on the investment
keeping money safe while earning some interest
reducing amount of taxable income
Answer:
save your money when u get it
Step-by-step explanation:
it helps
10 2/5 into a improper fraction
Answer:
52/5
Step-by-step explanation:
Step 1
Multiply the denominator by the whole number
5 × 10 = 50
Step 2
Add the answer from Step 1 to the numerator
50 + 2 = 52
Step 3
Write answer from Step 2 over the denominator
52/5
the question is on the sheet
Answer:
m= 3 /2
Step-by-step explanation:
As an estimation we are told 5 miles is 8 km.
Convert 32.5 miles to km.
Answer:
52 km
Step-by-step explanation:
Given, 5 miles is 8km.
So, 1 mile will be (8/5) km.
Now, 32.5 miles will be (8/5) x 32.5 = 52 km
21. Water that is sprayed upward from a
sprinkler with an initial velocity of
20 m/s can be approximated by the
function y=-5x² + 20x, where y is
the height of a drop of water x seconds
after it is released. Graph this function.
Find the time it takes a drop of water
to reach its maximum height, the
water's maximum height, and the time
it takes the water to reach the ground.
Answer:
2 seconds to maximum height20 meters maximum height4 seconds to reach the groundStep-by-step explanation:
The function can be graphed using a graphing calculator, geometry app, or spreadsheet. One such graph is attached. Often, these tools are capable of identifying extrema and intercepts.
__
extremeThe vertex of the graph is reported as (x, y) = (2, 20). This means the maximum height is reached after 2 seconds. That maximum height is 20 meters.
__
interceptThe drop is launched from ground level at x = 0 seconds. It returns to ground level at x = 4 seconds.
PLEASE HELP - Basketballs used in NBA games all have a diameter of approximately 912 in. inches. About how many cubic inches of air is contained in the spherical ball?
Which chemical equation is balanced? pls, help me.
Question 1 options:
H2+O2→H2O
2H2+O2→2H2O
2H2+2O2→2H2O
H2+O2→2H2O
Step-by-step explanation:
2H2+O2→2H2O
just this for the answer
Please help, I’m having trouble answering this question
Answer:
13+5+7+5+5
Its because if you calculate it mean and media. will be 7 and obviously mode is 5
Hope you're helped!
Graceland Farm has two cylindrical water tanks, one for cold and a second for hot water. The hot water tank has a diameter of 8 feet and can hold 503 cubic feet of water. If the cold water tank is shorter than the hot water tank, than how tall can the cold water tank be? Is there more than one solution?
Answer:
h < 10 or (0, 10)
The problem has multiple solutions
Step-by-step explanation:
In this case we can calculate the height of the hot water tank because we know the diameter and volume. The formula is:
V = pi * (r ^ 2) * h
we solve for h:
h = V / (pi * r ^ 2)
the radius is half the diameter, that is, r = d / 2; r = 8/2 = 4
replacing:
h = 503 / (3.1413 * 4 ^ 2)
h = 10
the problem has multiple solutions since they say that it is shorter, shorter is a number less than 10.
solution: h <10 or (0, 10)
Angle LMN has a measure of 35∘ . The angle is rotated 75∘ about point M to create angle L'M'N'. What is the measure of angle L'M'N'?
Given:
Angle LMN has a measure of 35°.
The angle is rotated 75° about point M to create angle L'M'N'.
To find:
The measure of angle L'M'N'.
Solution:
We have,
\(m\angle LMN=35^\circ\)
The angle LMN is rotated 75° about point M to create angle L'M'N'.
We know that, rotation is a rigid transformation. So, after rotation the corresponding sides and angles remains congruent.
It means,
\(m\angle L'M'N'=m\angle LMN\)
\(m\angle L'M'N'=35^\circ\)
Therefore, the measure of angle L'M'N' is 35°.
An airplane is flying at a speed of 525 miles per hour. Which equation represents the situation? Let h = the number of hours spent flying. Let d = the distance traveled. d = 525 + h d = 525h h = d – 525 h = 525d
The equation that represents the situation is:
d = 525h
In this equation, d represents the distance traveled and h represents the number of hours spent flying. The equation states that the distance traveled (d) is equal to the product of the speed (525 miles per hour) and the number of hours spent flying (h). This equation shows the relationship between the distance and time for the airplane flying at a constant speed of 525 miles per hour.
The Equation Representing The Situation is:
d = 525 * h
Step-by-step explanation:Make A Plan:
We need to find the Equation representing the relationship between the distance traveled (D) and the number of hours spent flying (H).
Solve the Problem:The Airplane is flying at a Constant Speed of 525 Miles Per Hour (mph). However, The Distance Traveled is Equal to the speed Multiplied by the Time Spent Flying.
Therefore, The Equation Representing the Situation is:d = 525 * h
Draw The conclusion:The Equation Representing The Situation is:
d = 525 * h
I hope this helps you!
The length of a rectangle is 19 centimeters less than its width. Its area is 20 square centimeters. Find the dimensions of the rectangle.
The dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.
Let's denote the width of the rectangle as "w" centimeters. According to the problem, the length of the rectangle is 19 centimeters less than its width, so the length can be expressed as "w - 19" centimeters.
The formula for the area of a rectangle is length multiplied by width. In this case, the area is given as 20 square centimeter
Area = Length × Width
20 = (w - 19) × w
To solve this equation, we can expand it:
20 = \(w^2\) - 19w
Rearranging the equation to bring everything to one side:
\(w^2\) - 19w - 20 = 0
Now, we can factor the quadratic equation:
(w - 20)(w + 1) = 0
Setting each factor equal to zero and solving for "w":
w - 20 = 0 --> w = 20
w + 1 = 0 --> w = -1
Since a negative width doesn't make sense in this context, we discard w = -1.
Therefore, the width of the rectangle is 20 centimeters (w = 20).
To find the length, we substitute this value back into the expression for length:
Length = w - 19
Length = 20 - 19
Length = 1 centimeter
So, the dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.
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Matthew wants his run today to take no more than 90 minutes. He already has run 30 minutes at a pace of 10 minutes per mile.
Part A)
Write an inequality that Matt could solve to find out how many more miles he can run if he keeps his current pace. Show or explain the reasoning you used to determine your answer.
The inequality for the given situation is m ≤ 6.
Given that, Matthew wants his run today to take no more than 90 minutes and he already has run 30 minutes at a pace of 10 minutes per mile.
What is the inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Let the number of miles be m.
m ≤ 90/10 - 30/10
m ≤ 9 - 3
m ≤ 6
Therefore, the inequality for the given situation is m ≤ 6.
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When a correlation is found between a pair of variables, this always means that there is a direct cause and effect relationship between the variables.
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Tim is reading a book. On Monday he reads 2 pages. On each day after that, he reads triple the number of pages as the previous day. How many pages did Tim read on Thursday?
Answer:
Tim read 54 pages on Thursday.
Step-by-step explanation:
Consider the provided information.
Tim read 2 pages on Monday. Each day after that, he reads triple the number of pages as the previous day.
Monday = \(2=2\)
Tuesday = \(2\times 3=6\)
Wednesday = \(2\times 3\times 3=18\)
Thursday = \(2\times 3\times 3\times 3=54\)
Hence, Tim read 54 pages on Thursday.
How many pages does Tim read on Monday? 2 pages.
If Tim tripled the amount that he read on Monday, how many pages did he read on Tuesday? 2 × 3 = 6 Pages
Repeat for Wednesday. 6 × 3 = 18 Pages
Repeat for Thursday. 18 × 3 = 54 Pages
suppose we want to compute a 92% confidence interval. what excel command would compute the critical value ?
If we compute a 92% confidence interval in excel command the critical value will be 1.750686.
Level of confidence c = 0.92
level of significance α = 1 - c = 0.08
A 92% confidence interval has goes from 8/2 = 4% to 100%–(8/2)% = 96%
Leaving 92% in the middle (96%–4%) = 92 %
So look up z-score for 96% or p =0.96
The two closest value in a z-table are
P(z< 1.75) = 0.95994
P(z< 1.76) = 0.96080
Based on this online table
( https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf )
So critical value Z = 1.75 is the closest value , but just barely.
But if you want a more accurate , use the normal function on Excel or from an online calculator or interpolate
If you interpolate
1.75 + (0.96–0.959954)*0.01/ (0.9608–0.95994)
Critical value Z= 1.750535
If you round to four digits, critical value Z = 1.7505
So the interpolation isn’t that much more accurate
Excel function says critical value Z= 1.750686
=normsinv(0.96)
= 1.750686 which is probably more accurate.
By using the word interval, you have implied you are talking about a two-sided test.
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