Answer: 17
Step-by-step explanation:
11x - 39 = 10x - 22
11x = 10x + 17
x = 17
What is the slope of (3,7) and (6,12)
Answer:
slope=y2-y1/x2-x1
where y2= 12, y1=7, x2=6, x1=3
12-7/6-3
= 5/3
therefore slope=5/3
a rectangle is 8 km longer than it is wide. find the dimensions of the rectangle if its area is 240 sq-km.
The dimensions of the rectangle are, length is 20 cm and the width is 12 cm.
What is an area?
Area is a mathematical concept that expresses the size of a region on a planar or curved surface. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
Let
The width of the rectangle is x.
As length is 8km longer than than width.
So length = x + 8
The area of the rectangle is 240 sq - km
Since,
Area of rectangle = length x width
240 = (x + 8) x x
240 = x^2 + 8x
x^2 + 8x - 240 = 0
x^2 + 20x - 12x -240 = 0
x(x + 20) - 12(x + 20) = 0
(x + 20)(x 2 12) = 0
⇒ (x + 20) = 0, (x - 12) = 0
⇒ x = -20, x = 12
Since, length is not negative.
So, x = 12
Hence, the width of the rectangle is 12 cm and the length of the rectangle is 12 + 8 = 20 cm.
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You spin the spinner once.
2345
What is P(not greater than 4)?
Write your answer as a percentage.
The value of P(not greater than 4) as a percentage is 75%
How to determine the probability?The spinner represents the given parameter
On the spinner, we have the following parameters
Number of sections = 4
Sections = 2, 3, 4 and 5
There are three sections not greater than 4
So, we have the following formula
P(not greater than 4) = Sections not greater than 4/Total number of sections
Substitute the known values in the above equation, so, we have the following representation
P(not greater than 4) = 3/4
Evaluate
P(not greater than 4) = 75%
Hence, the probability is 75%
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A store bought jeans at a cost of $40 a pair. Select all the statements that are true.
The true statements are,
⇒ If the price is marked up 25%, the selling price will be $50.
⇒ If the selling price is $70, the price is marked up 75%.
What is the Cost price?
Cost price is the total amount of money that it costs a manufacturer to produce a given product or provide a service.
Given that:-
A Store bought jeans at a cost of $40 a pair.
If the price is marked up 25%, the selling price will be $50
⇒ 40 x 25 / 100 = 10
Selling Price = $50
Hence, This is true statement.
And, If the selling price is $70, the price is marked up 75%.
P = 70 - 40 = $30
40 x 75 / 100 = $30
Hence, This statement is true.
Therefore, the true statements are;
⇒ If the price is marked up 25%, the selling price will be $50.
⇒ If the selling price is $70, the price is marked up 75%.
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The complete question is this,
A store bought jeans at a cost of $40 a pair. Select all the statements that are true.
A. If the price is marked up 20%, the selling price will be $60.
B. If the price is marked up 25%, the selling price will be $50.
C. If the selling price is $65, the price is marked up 50%.
D. If the selling price is $70, the price is marked up 75%.
Find the area of the rectangle.
Answer:
6.75 in
Step-by-step explanation:
You would have to do L x W (Length x Width) to find the area of a rectangle.
Answer:
6.75 or 6 4/3
Step-by-step explanation:
9 X .75
What is (f •g)(x)
f(x)= -3x^2-5x
g(x)=5x
Answer:
sorry I didnt get you. whats the mean of ^ symbole.
Unknown Angle Problems (with Algebra)
Answer:
x = 5
Step-by-step explanation:
8x + 50 = 90
or, 8x = 90-50
or, 8x = 40
so, x = 5
what is the y-intercept of the line?
1
1/2
-2
0
Answer: the y-intercept is 1 there is a point on the graph which touches the y-axis in this case is 1
Step-by-step explanation:
Find the measure of WXY.
Answer:
31
Step-by-step explanation:
measure of WXY = 62/2, this can be explained by angle at center twice angle at circumference which the answer is 31
Answer:
i hope it will be right
Step-by-step explanation:
it will be 31ْ
(a−2b)^3 when a=−4 and b=−1\2
Answer:
- 125
Step-by-step explanation:
what kind of number is -4/11
rational
irrational
whole
natural
integers
Answer:
Rational
Step-by-step explanation:
Natural numbers - all positive numbers (1, 2, 3, ...), NO FRACTIONS / DECIMALS
Whole numbers: all positive numbers including 0 (0, 1, 2, 3, ...), NO FRACTIONS/DECIMALS
Integers: all positive and negative numbers including 0 (..., -3, -2, -1, 0, 1, 2, 3, ...) NO FRACTIONS/DECIMALS
Rational: any positive / negative number that can be written as a fraction or decimal, includes 0
Irrational: cannot be written as a fraction or decimal (pi, e, sqrt(2))
hope this helps! <3
Find the distance between the two points. Round to the nearest tenth if necessary.
(6, 0), (–6, 5)
A.
7
B.
5
C.
13
D.
169
Answer:
the correct answer is 13
Step-by-step explanation:
SOMEBODY PLEASE HELP ME!!
Answer:
60 square units; 40 units
Step-by-step explanation:
to find the missing side you use the pythagorean theorem
a^2 + b^2 = c^2
8^2 + b^2 = 17^2
64 + b^2 = 289
b^2 = 225
b = 15
area is l*h*1/2
15 * 8 * 1/2 = 60 square units
perimeter is adding them all
15 + 8 + 17 = 40 units
show that the statements p(18), p(19), p(20), and p(21) are true, completing the basis step of the proof. (please enter your answers as numeric values only.) (you must provide an answer before moving to the next part.) p(18) is true, because 18 cents of postage can be formed from 1 4-cent stamps and 1 7-cent stamps. p(19) is true, because 19 cents of postage can be formed from 1 4-cent stamps and 0 7-cent stamps. p(20) is true, because 20 cents of postage can be formed from 5 4-cent stamps and 0 7-cent stamps. p(21) is true, because 21 cents of postage can be formed from 0 4-cent stamps and 3 7-cent stamps.
All four statements are true.To complete the basis step of the proof, we need to show that the statements p(18), p(19), p(20), and p(21) are true.
p(18): As stated, 18 cents of postage can be formed from 1 4-cent stamp and 1 7-cent stamp. This satisfies the condition, so p(18) is true.
p(19): As stated, 19 cents of postage can be formed from 1 4-cent stamp and 0 7-cent stamps. This also satisfies the condition, so p(19) is true.
p(20): As stated, 20 cents of postage can be formed from 5 4-cent stamps and 0 7-cent stamps. This satisfies the condition, so p(20) is true.
p(21): As stated, 21 cents of postage can be formed from 0 4-cent stamps and 3 7-cent stamps. This satisfies the condition, so p(21) is true.
By verifying that all four statements are true, we have completed the basis step of the proof.
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. do the columns of b span r4? does the equation bx d y have a solution for each y in r4?
If the columns of B do not span ℝ^4, it means that there are certain vectors y in ℝ^4 for which the equation Bx = dy does not have a solution. In this case, the system of equations is inconsistent, and there may not be a solution for some y.
To determine whether the columns of matrix B span ℝ^4, we need to check if the columns are linearly independent and if they span the entire space.
Let's assume matrix B is an m × n matrix, where m is the number of rows and n is the number of columns.
If the columns of B are linearly independent and there are n columns (n ≤ m), then the columns span ℝ^m. In this case, if B is a 4 × n matrix, the columns would span ℝ^4.
On the other hand, if the columns of B are linearly dependent or there are fewer than n columns (n > m), then the columns do not span the full space.
Regarding the equation Bx = dy, where y is a vector in ℝ^4, we can determine if there is a solution for each y by considering the consistency of the system of equations.
If the columns of B span ℝ^4, it means that for every vector y in ℝ^4, there exists a solution to the equation Bx = dy. In this case, the system of equations is consistent, and there is a solution for each y.
However, if the columns of B do not span ℝ^4, it means that there are certain vectors y in ℝ^4 for which the equation Bx = dy does not have a solution. In this case, the system of equations is inconsistent, and there may not be a solution for some y.
To conclusively determine whether the columns of B span ℝ^4 and whether the equation Bx = dy has a solution for each y in ℝ^4, we would need more information about the specific matrix B and its dimensions.
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Researchers for a company that manufactures batteries want to test the hypothesis that the mean battery life of their new battery is greater than the known mean battery life of their older version. The researchers selected random samples of 32 of the new batteries, subjected the batteries to continuous use, and determined the mean and standard deviation of the battery lives in the sample.
Which of the following is an appropriate test for the researchers’ hypothesis?
a. A one-sample z-test for a population mean
b. A one-sample t-test for a population mean
c. A one-sample z-test for a population proportion
d. A matched-pairs t-test for a mean difference
e. A two-sample t-test for a difference between means
A. A one-sample z-test for a population mean
A one-sample z-test is used to compare the sample mean to a known population mean. In this case, the researchers have a known population mean (the mean battery life of the older version of the battery) and they are trying to determine if the mean battery life of the new battery is greater than that. Therefore, a one-sample z-test is the appropriate test.
The researchers selected random samples of 32 of the new batteries, subjected the batteries to continuous use, and determined the mean and standard deviation of the battery lives in the sample. The one-sample z-test is used to compare the sample mean to a known population mean. The researchers can use this test to determine if the mean battery life of the new battery is b significantly greater than the known mean battery life of their older version. The z-test will calculate the probability of the observed results occurring if the mean battery life of the new battery is actually equal to the known mean battery life of their older version. If the probability is low enough, the researchers can reject the null hypothesis (that the mean battery life of the new battery is equal to the known mean battery life of their older version) and conclude that the mean battery life of the new battery is greater than the known mean battery life of their older version.
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Draw a pair of intersecting lines that forms a pair of complementary angles. Explain your reasoning.
A pair of intersecting lines that forms a pair of complementary angles is as drawn below.
What are the pair of complementary angles?
Remember that complementary angles are defined as angles which sum is equal to 90°.
Besides, each of the pairs of opposite angles made by two intersecting lines are called vertical angles. Now, from congruent proofs, we know that that vertical angles are congruent. In another words, they have the same measure.
Thus, we have to draw two vertical angles that measure:
90° ÷2 = 45°
This image is as drawn below in the attached file.
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What is the inverse function for -2f(x+5)-4
Answer:
Read carefully below
Step-by-step explanation:
In general, the inverse of a function f(x) is a function g(x) such that f(g(x)) = g(f(x)) = x for all values of x in the domain of f(x) and g(x). To find the inverse of a function, we need to switch the input and output variables and solve for the new output variable.
In this case, we are given the function -2f(x+5)-4. To find the inverse of this function, we need to switch the input and output variables and solve for the new output variable, which we will call y. We can do this by first moving all the terms to one side of the equation, and then solving for y:
-2f(x+5) - 4 = y
-2f(x+5) = y + 4
f(x+5) = (y + 4) / -2
This is the inverse function of -2f(x+5)-4. However, keep in mind that not all functions have inverses. In particular, a function must have the property that it is one-to-one (i.e. it maps unique inputs to unique outputs) in order to have an inverse. It is not clear from the given information whether the function -2f(x+5)-4 is one-to-one, so it is possible that it does not have an inverse.
I will give brainliest please help me easy math question!!!!!!!!!!!
Match each pair of equivalent fractions.
Answer:
1. -1/2b
2. 3a/b^2
3. 3b^2/1a^2
4. -1a^2b/2
Step-by-step explanation:
Simplified answers and then the variables cancel out each out as much as they can (That's the best way to explain it)
Answer: -4a/8ab goes with -1/2b
-9b^3/-3a^2b goes with 3a/b^2
3a^4/1a^3b^2 goes with 3b^2/1a^2
5a^4b/-10a^2 goes with-1a^2b/2
Step-by-step explanation:
When ever you do problems with fractions make sure you combine like terms. If you have multiple a’s, in this case you should divide them. When you divide a’s with exponents you always subtract the exponents by each other. Hope this helps!
what is the area of the shaded portion of the figure above
Answer:
i need help too
Step-by-step explanation:
plese
a newspaper charges $4 per line for the first three lines in addition to the $30 fee to advertise
and what is the symbol next to the f?
Answer:
4 dollar for the first 3 lines
Step-by-step explanation:
Faelyn grouped the terms and factored the GCF out of the groups of the polynomial 6x4 – 8x2 + 3x2 + 4. Her work is shown.
Step 1: (6x4 – 8x2) + (3x2 + 4)
Step 2: 2x2(3x2 – 4) + 1(3x2 + 4)
Faelyn noticed that she does not have a common factor. Which accurately describes what Faelyn should do next?
Faelyn should realize that her work shows that the polynomial is prime.
Faelyn should go back and regroup the terms in Step 1 as (6x4 + 3x2) – (8x2 + 4).
In Step 2, Faelyn should factor only 2x out of the first expression.
Faelyn should factor out a negative from one of the groups so the binomials will be the same.
An accurately describes what Faelyn should do next is option B. Faelyn should realize that her work shows that the polynomial is prime.
What are prime polynomials?Those polynomials with integer coefficients that cannot be factored further, with factors of lower degree and integer coefficients are called a prime polynomials.
The polynomial 6x⁴ – 8x² + 3x² + 4 needs to be factored and the steps are:
Step 1: (6x⁴ – 8x²) + (3x² + 4)
Step 2: 2x²(3x² – 4) + 1(3x² + 4)
Since they do not have any common factor.
Faelyn should realize that her work indicates that the polynomial is prime.
Prime polynomials have integer coefficients.
An accurately describes what Faelyn should do next is option B. Faelyn should realize that her work shows that the polynomial is prime.
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___________ is a form of testing that involves linking all of the individual components together and testing them as a group to uncover any defects between individual components.
The answer of the given question is Integration testing.
Integration testing is a form of testing that involves linking all of the individual components together and testing them as a group to uncover any defects between individual components.
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Integration testing is a form of testing that involves linking all of the individual components together and testing them as a group to uncover any defects between individual components.
Integration testing focuses on the interactions between different components of a system. It aims to identify any issues that may arise when the components are combined, such as communication errors, data discrepancies, or incorrect functional behavior. This type of testing is typically performed after unit testing, which tests individual components in isolation, and before system testing, which evaluates the entire system's functionality.
In summary, integration testing is a crucial step in the software testing process that ensures individual components work together seamlessly, helping to identify and resolve defects that may occur when these components are connected.
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which expression is equivalent to (7x^3)^2(x^8)1/2
Answer: 49x^14
Step-by-step explanation:
You inherit RM300,000 from your parents and want to use the money to supplement your retirement. You receive the money on your 65 th birthday, the day you retire. You want to withdraw equal amounts at the end of each of the next 20 years. What constant amount can you withdraw each year and have nothing remaining at the end of 20 years if you are earning 7% interest per year?
A. RM15,000
B. RM28,318
C. RM33,574
D. RM39,113
To determine the constant amount that can be withdrawn each year for 20 years, we need to calculate the annuity payment using the present value of an annuity formula.
Inherited amount: RM300,000
Interest rate: 7% per year
Number of years: 20
Using the present value of an annuity formula:
PV = P * [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present value (inherited amount)
P = Annuity payment (constant amount to be withdrawn each year)
r = Interest rate per period (7% or 0.07)
n = Number of periods (20 years)
Plugging in the values:
300,000 = P * [(1 - (1 + 0.07)^(-20)) / 0.07]
Solving this equation, we find that the constant amount that can be withdrawn each year is approximately RM15,000.
Therefore, the correct answer is A. RM15,000.
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does anyone know what 28% of 82 is? and if so could you please show me how to work it out?
Answer:22.96 u just divide 28/82
Step-by-step explanation:
Answer:
Step-by-step explanation:
Look at the diagram. Which angle is supplementary to 1.) 2.) 3.) 4.)
Answer:
it's going to be EOC
Step-by-step explanation:
I used my brain
2
Type the correct answer in the box.
212 units
2 units
2 units
8 units
2 units
2 units
2 units
6 units
The area of the figure is
square units.
Reset
Next
Answer:
212×2×2×8×2×2×2×6= 325636
I hope the answer is correct. I hope I will get 5points
Answer:
2 units i hope this helps you
During a movie stunt, a motorcycle is driven off a ramp which makes a 16.5 degree angle with the horizontal. The motorcycle flies over a bunch of cars lined up below before landing on the other side. The ramp is 6.375 m high.
A. The initial velocity of the car is 31 m/s. What's vfy?
B. What's vf total? (Just give this as positive. If we were going to indicate direction, instead of positive or negative, we should give the angle.)
The vertical component of the final velocity (vfy) of the motorcycle is approximately 11.82 m/s. The magnitude of the final velocity (vf total) of the motorcycle is approximately 31 m/s.
A. To find the vertical component of the final velocity (vfy) of the motorcycle, we need to use the principles of projectile motion. Since the motorcycle is launched from the ramp, we can treat it as a projectile in free fall after leaving the ramp. The vertical component of the final velocity can be calculated using the equation:
vfy = v0y + gt,
where v0y is the vertical component of the initial velocity, g is the acceleration due to gravity (9.8 m/s^2), and t is the time of flight.
To calculate v0y, we can use the fact that the initial velocity (v0) of the motorcycle is 31 m/s, and the angle of the ramp (θ) is 16.5 degrees. The vertical component of the initial velocity is given by:
v0y = v0 * sin(θ).
Substituting the values, we have:
v0y = 31 m/s * sin(16.5 degrees) ≈ 8.36 m/s.
The time of flight can be calculated using the equation:
t = 2 * v0y / g.
Substituting the values, we have:
t = 2 * 8.36 m/s / 9.8 m/s^2 ≈ 1.70 s.
Finally, we can calculate vfy:
vfy = v0y + gt = 8.36 m/s + (9.8 m/s^2) * 1.70 s ≈ 11.82 m/s.
Therefore, the vertical component of the final velocity (vfy) of the motorcycle is approximately 11.82 m/s.
B. The magnitude of the final velocity (vf total) can be calculated using the Pythagorean theorem. Since the horizontal component of the velocity remains constant throughout the motion, vf total is equal to the initial velocity (v0) of the motorcycle, which is 31 m/s.
Therefore, the magnitude of the final velocity (vf total) of the motorcycle is approximately 31 m/s.
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Marty started a lawn mowing business. He kept track of his expenses and earnings in a table.
How much money did Marty make?
(NO FAKE ANSWERS)
Answer:
16.71
Step-by-step explanation:
best answer?
Answer:
1/3
Step-by-step explanation:
1+4+68999