Select the true statement.
Answer: D) 54 inches = 1 1/2 yards
explanation: 1 1/2 yards = 54 inches.
A man purchased 300 oranges at 6 for a dollar. He sold them at 5 for a dollar. What is his
percentage gain ?
Is X 8 is a factor of f/x Which of the following must be true?
If (x + 8) is a factor of f(x), then the true statement is f(-8) = 0 .
In the question ,
it is given that , x \(+\) 8 is factor of f(x) ,
we have to select the correct option about f(x) from the given options .
When solving the polynomials, a factor of the polynomial gives the solution of the polynomial.
that means , x + 8 = 0
So , x = -8 ,
So , it means that when x = -8 , then the value of the function f(-8) will be zero ,
which means that x = -8 will be a root of the given function f(x) .
Therefore , the true statement is f(-8) = 0 .
The given question is incomplete , the complete question is
If (x + 8) is a factor of f(x), which of the following must be true ?
(a) Both x = –8 and x = 8 are roots of f(x).
(b) Neither x = –8 nor x = 8 is a root of f(x).
(c) f(–8) = 0
(d) f(8) = 0
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Helppp it’s due today
Answer:
128
Step-by-step explanation:
For the question of total area of the cuboid is 200cm^.
I understand where we divide 150 by 4.
But why do I need to multiply by 5, when there are 6 faces.
You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.
When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.
A cuboid has six faces, but each face has a pair that is identical in size and shape.
Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.
To find the surface area of a cuboid, you can add up the areas of all its faces.
However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:
(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.
By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.
Essentially, you are considering one face from each pair and then summing their areas.
Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.
When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.
Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.
Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.
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I will give brainliest out please help me answer the unsolved ones
For the given triangles:
(1) x = 5.4
(2) x = √23
(3) θ = 25.84 degree
(4) x = 9.5
(5) n = 41
(1) In the given triangle,
One angle = 16 degree
Perpendicular = x
Hypotenuse = 20
Since we know that
Sinθ = opposite side of θ/hypotenuse
Therefore,
⇒ sin 16 = x/20
⇒ 0.27 = x/20
⇒ x = 5.4
(2) In the given triangle,
Hypotenuse = 12 km
Base = 11 km
perpendicular = x
We know that the Pythagoras theorem for a right angled triangle:
⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²
⇒ (12)²= (x)² + (11)²
⇒ 144 = (x)² + 121
⇒ x² = 23
Taking square root both sides we get,
Hence,
⇒ x = √23
(3) In the given,
Base = 20
Perpendicular = 42
We know that the Pythagoras theorem for a right angled triangle:
⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²
⇒ (Hypotenuse)² = (42)² + (20)²
⇒ (Hypotenuse)² = 2164
Taking square root both sides,
⇒ (Hypotenuse) = 46.51
⇒ cosθ = Adjacent/hypotenuse
= 42/46.51
= 0.90
Taking inverse of cosθ,
⇒ θ = 25.84 degree
(4) In the given triangle,
One angle = 30 degree
Base = x
Hypotenuse = 11
Since we know that
cosθ = Adjacent/hypotenuse
Therefore,
⇒ cos 30 = x/11
⇒ √3/2 = x/11
⇒ x = 9.5
(4) In the given triangle,
Base = 40
Perpendicular = 9
Hypotenuse = n
We know that the Pythagoras theorem for a right angled triangle:
⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²
⇒ n² = 9² + 40²
⇒ n² = 81 + 1600
⇒ n² = 1681
⇒ n = 41
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Use the spinner to find the theoretical probability of the event. Write your answer as a fraction or a percent rounded to the nearest tenth.
The theoretical probability of spinning red is given as follows:
1/3.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
For the spinner in this problem, 2 out of 6 regions are red, hence the theoretical probability is given as follows:
2/6 = 1/3.
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Help, please!
Solve
2a + 3b = 5
b = a - 5
Answer:
a=2
Step-by-step explanation:
a=b+5
b=a−5
Answer: A = 4, B = -1
Step-by-step explanation: First, you write the equation out and substitute in a - 5 for b. Then you distribute the 3 to the a and the -5 to get "2a + 3a - 15". Then you add the 15 to both sides, and add the 2a and the 3a to get "5a = 20" Then you multiply by 5 to get a = 4. And if you're trying to find b you just do 4 - 5 to get -1.
The manager of a company wants to find out how many hours the employees worked in the previous month. Which of the following is a statistical question that the manager can ask?
It only seeks a single value and does not involve collecting data to draw general conclusions.
Which of the following is a statistical question that the manager can ask?"Which employee worked the most hours in the previous month?" is not a statistical question because it only seeks a single value and does not involve collecting data to draw general conclusions.
On the other hand, "What is the average number of hours worked by employees in the previous month?" is a statistical question because it involves collecting data on all employees and using it to draw general conclusions about the entire workforce.
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a triangle is shown drag graphs to the table to ahow the image of the triangle after it is reflected over the x-axis, the y-axis, or the line y = x.
The graphs have been correctly dragged to the table to show the image of the triangle after it is reflected over the x-axis, the y-axis, and the line y = x.
How to reflect the triangle based on the transformation rule?By applying a reflection over the x-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;
(x, y) → (x, -y)
(1, -3) → (1, -(-3)) = (1, 3)
(3, -2) → (3, -(-2)) = (3, 2)
(4, -5) → (4, -(-5)) = (4, 5)
By applying a reflection over the y-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;
(x, y) → (-x, y)
(1, -3) → (-1, -3)
(3, -2) → (-3, -2)
(4, -5) → (-4, -5)
By applying a reflection over the line y = x to the coordinates of this triangle, we have the following coordinates of the image triangle;
(x, y) → (y, x)
(1, -3) → (-3, 1)
(3, -2) → (-2, 3)
(4, -5) → (-5, 4)
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(Irrational Numbers MC)
Approximate -10 + √30 to the nearest tenth. HELP PLS
-10 + 5.47722~
=4.523~
round to nearest tenth = 4.5
Answer:
-4.5
Step-by-step explanation:
\(\sqrt{30}\) is approximately 5.47722557505. You can find this number with a calculator.
-10 + 5.47722557505 = -4.52277442495
To add a negative and a positive number, you subtract the absolute values and take the sign of the number that has the larger absolute value. Absolute value just means thinking of both numbers as positive numbers.
Helping in the name of Jesus.
62
.
52
=
27
.
39
+
t
Answer:
t = 35.13
Step-by-step explanation:
Simplifying
62.52 = 27.39 + t
Solving
62.52 = 27.39 + t
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-1t' to each side of the equation.
62.52 + -1t = 27.39 + t + -1t
Combine like terms: t + -1t = 0
62.52 + -1t = 27.39 + 0
62.52 + -1t = 27.39
Add '-62.52' to each side of the equation.
62.52 + -62.52 + -1t = 27.39 + -62.52
Combine like terms: 62.52 + -62.52 = 0.00
0.00 + -1t = 27.39 + -62.52
-1t = 27.39 + -62.52
Combine like terms: 27.39 + -62.52 = -35.13
-1t = -35.13
Divide each side by '-1'.
t = 35.13
Simplifying
t = 35.13
hope it helps !!!!!!!!!!! :)
Mr. Wilhelm got a $2 discount on
the purchase of 5 bags of peat moss.
If he paid $7.40, what was the price
for a bag of peat moss before the
discount?
Answer:
9.40
Step-by-step explanation:
7.40+2.00=9.40
If Greg purchased 6 cups of yellow paint for $54, what is the unit price per cup of yellow paint?
Answer:
The correct answer is 9.
Step-by-step explanation:
To get this solution, you would need to use division.
\(\frac{54}{6} = 9\)
--
To be sure that the answer is correct, check your answer.
\(9*6 = ?\)
\(9*5 = 45\)
Since the easiest way to determine the multiple of 9 is 5, all you need to do is add another 9.
\(45+9=54\)
--
**Remember: You are able to check if your answer(s) are correct in any way you are comfortable with.
Answer:
$9 per cupStep-by-step explanation:
Let the unit price is x.
6 cups cost $54:
6x = 54x = 54/6x = 9Pls help me find the value of x
Answer:
x = 3
Step-by-step explanation:
2x+6=x+9 subtract x in both sides
x +6 =9 subtract 6 in both sides
x = 3
Select the pair of numbers that has a difference of 3
The Continental Drift Hypothesis asserts that
our continents have been for millions of
years.
a Decreasing
b Rising
C Moving
d Growing
A new firm loses $2000 in its first month, but its profit increases by $400 in each succeeding month for the next year. What . is its profit in the twelfth month?
Answer:
Ans. Given, A1 = $2000 profit = A1 + (n-1)d d = $400 = -2000+(12-1)400 n = 12 = $2400
The required profit in the twelfth month is $2400.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values
To solve this problem, we need to use the arithmetic sequence formula to find the profit of each month, then add up the profits for the first 12 months to find the profit in the twelfth month.
The first term (a₁) is -2000, the common difference (d) is 400, and we need to find the twelfth term (a₁₂).
We use the formula for the nth term of an arithmetic sequence:
an = a₁ + (n - 1)d
So, substituting the given values, we get:
a₁₂ = -2000 + (12 - 1)400
a₁₂ = -2000 + 11*400
a₁₂ = -2000 + 4400
a₁₂ = 2400
Therefore, the profit in the twelfth month is $2400.
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What is the BEST ANSWER for the slope of the line that passes through the points:
(12, 2) and (1, 23)
Answer: -2
Step-by-step explanation:
Hi I’m doing a test and I need help please tell me the answer |
V
Answer: It’s 8
Step-by-step explanation: I just went to desmos
-1/4-a-4=7/4a-3
solving equations with one unlike equations
Answer:
a = -5/11
Step-by-step explanation:
You want to solve the equation -1/4-a-4=7/4a-3.
SolutionThe first step in solving this 3-step equation can be to add the opposite of (-a) so that the variable 'a' appears only on one side of the equation:
-1/4 -a -4 +a = 7/4a -3 +a
-17/4 = 11/4a -3 . . . . . . . . . . . simplify
The second step is to add the opposite of the constant (-3) so that the constant is on one side of the equation, and the variable is on the other side.
-17/4 +3 = 11/4a -3 +3
-5/4 = 11/4a . . . . . . . . . . simplify
The third step is to multiply by the inverse of the coefficient of the variable:
(4/11)(-5/4) = (4/11)(11/4a)
-5/11 = a . . . . . . . . . . . . . . . simplify
Check-1/4 -(-5/11) -4 = (7/4)(-5/11) -3
-17/4 +5/11 = -35/44 -3
(-187 +20)/44 = (-132 -35)/44
-167/44 = -167/44 . . . . . . answer checks OK
Please help me with these 2 questions asappp!!!
5. A'B'C'D': A'(−3, 2), B'(1, 2), C'(1, 4), D'(−3, 4)
A"B"C"D": A"(−3, -2), B"(1, -2), C"(1, -4), D"(−3, -4)
6. The amount of the rotation is 180 degrees.
What is the angle of the rotation in this double reflection example? In this double reflection example, the angle of rotation is 180 degrees. This means that the object has been reflected twice across the same line. This is easily seen in the diagram, where the object is reflected over the line, and then reflected again over the same line. The angle of rotation in this example is the amount of rotation that has taken place between the two reflections. In this case, the angle of rotation is 180 degrees, which means that the object has been rotated by exactly half a circle. This type of double reflection is often used in mathematics and physics, and is a useful way to describe the movement of an object.To learn more about amount of the rotation refer to:
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On October 12, 2020, the number of new cases of Covid 19 in Milwaukee was 235. On Oct. 22, 2020, the number of new cases in Milwaukee was 395.
a. Create an exponential model for new cases in terms of days.
b. Based on your model, what would be the number of new cases on Oct. 31, 2020?
c. The actual number of new cases on Oct. 31, 2020, was 1043. How well does this fit your model?
a. To create an exponential model for new cases in terms of days, we can use the formula: y = a * b ^ x, where y is the number of new cases, x is the number of days since the first observation, and a and b are constants that we need to determine. Using the two data points given, we can set up a system of equations:
235 = a * b ^ 0
395 = a * b ^ 10
Solving for a and b, we get:
a = 235
b = (395/235)^(1/10) = 1.067
Therefore, the exponential model for new cases in Milwaukee is:
y = 235 * 1.067 ^ x
b. To find the number of new cases on Oct. 31, 2020, we need to plug in x = 19 (since Oct. 31 is 19 days after Oct. 12) into the model:
y = 235 * 1.067 ^ 19 = 1018.5
Therefore, based on the exponential model, we would expect around 1019 new cases on Oct. 31, 2020.
c. The actual number of new cases on Oct. 31, 2020, was 1043. This is higher than the predicted value of 1019, but not by a huge margin. Overall, the model seems to fit the data reasonably well, especially considering that there are many factors that can affect the number of new cases in a given area, and that the model is based on only two data points. However, it is worth noting that the exponential model assumes that the growth rate of new cases remains constant over time, which may not be a realistic assumption in the long run.
Someone help with all of them, I need the ones I did checked to see if they are right, so please help with all! I’ll mark brainliest if you give a small explanation:)
Answer:
1. y= 6x-2
2. y= 2/3x+5
3. y= -5x+0
4. y= 0x-1
5. y= -1x+4
Explanation: Used slope-intercept form which y=mx+b. For #1 I made it 6x-2 because 2 is negative so therefore your y-intercept will be you really didn't need an addition sign. If you need anything else let me know.
if 5/7 of x is 5/21 then what's x?
\( \frac{5}{7} \: \: \: of \: \: \: x = \frac{5}{21} \\ = > \frac{5x}{7} = \frac{5}{21} \\ = > 5x = \frac{5}{21} \times 7 \\ = > 5x = \frac{5}{3} \\ = > x = \frac{5}{3} \times \frac{1}{5} \\ = > x = \frac{1}{3} \)
Answer:
\(x = \frac{1}{3} \)
Hope you could get an idea from here.
Doubt clarification - use comment section.
answer the question submitted
The function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.
To complete the square for the function g(x) = 4x² - 28x + 49, we follow these steps:
Step 1: Divide the coefficient of x by 2 and square the result.
(Coefficient of x) / 2 = -28/2 = -14
(-14)² = 196
Step 2: Add and subtract the value obtained in Step 1 inside the parentheses.
g(x) = 4x² - 28x + 49
= 4x² - 28x + 196 - 196 + 49
Step 3: Rearrange the terms and factor the perfect square trinomial.
g(x) = (4x² - 28x + 196) - 196 + 49
= 4(x² - 7x + 49) - 147
= 4(x² - 7x + 49) - 147
Step 4: Write the perfect square trinomial as the square of a binomial.
g(x) = 4(x - 7/2)² - 147
Therefore, the function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.
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The probable question may be:
Rewrite the function by completing the square.
g(x)=4x²-28x +49
g(x)= ____ (x+___ )²+____.
Please help urgent thank you
If he wants an average of 84, he needs to get at least 93 points.
What score does he need to get in the next test?Remember that the average value between 3 values A, B, and C is:
(A + B + C)/3
Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:
(76 + 83 + x)/3 = 84
159 + x = 252
x = 252 - 159
x = 93
So he needs to get at least 93 points in the next exam.
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what is 1 1/2 multiply 12
Answer:
66
Step-by-step explanation:
hello :
1 1/2 multiply 12 means : (11×12/2)= (11×6×2)/2 =66
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
True
Step-by-step explanation:
You should always check just in case a mistake or miscalculation was made. To check, substitute the value you got for the variable into the equation and solve.
For example,
x=2
8x-2=14
Substitute 2 in for x
8(2)-2=14
16-2=14
14=14
Since this is true, we know that 2 is the correct solution.
Find the probability that a randomly selected point within the square falls in the red shaded square
The probability that a randomly selected point within the square falls in the red shaded square is 1/16
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.
Probability = sample space /total outcome
sample space is the area of the red shaded square and the total outcome is the big square.
Area of red shaded square = 1 × 1 = 1unit²
area of the big square = 4 × 4 = 16 units²
Therefore the probability that a point selected falls on the red shaded square
= 1/16
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