What is the cube of 8?
O A. 2
O B. 64
C.53
O D. 24
Answer:
for my answer i got 512 but it is not one of the answer choices
Step-by-step explanation:
Krista designs quilts using the pattern shown. The table of values describes the shaded area of the pattern in square units, y, as a function of the length of a side,X units. Which equation describes this relationship?
The equation which describes the relationship between the side length and shaded area of the quilt is y=0.5x²
Modeling relationship between two variablesSide length, x = 1,3,4,5,8
Shaded Area, y = 0.5, 4.5, 8, 12.5, 32
The relationship can be modeled as a quadratic function. Using a graphing calculator for the quadratic function written in the form y = ax² + bx + c
a = 0.5 ; b = 0 ; c = 0
Therefore, the quadratic function can be written as y = 0.5x²
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Which point could not be part of a function that includes (3, -1), (4, 2), (5, 4), (-2, 0), and (8, -3)?
(6, -7)
(2,2)
(3, -2)
(7, 4)
Answer:
(3, -2) is the correct choice.
}24} Please help me with this question.
Answer:
Queen
Step-by-step explanation:
This is because only the Queen rules the United Kingdom
Hope this Helps!!! :)
Matt has soccer practice on may4. He will practice every fourth day after that. Jacob begins baseball practice on may3 and continues to practice every third day after that.what will be the first date on which they both have practice
Answer:
May 12th
Step-by-step explanation:
For Matt's practice you multiply by 3 and for Jacob's practice you multiply by 4 to get both practices to 12.
which value of y makes the inequality 3y^2+2(y-5)>8 true?
A. y = 0
B. y = –1
C. y = –2
D. y = –3
Please i need help due in 25 minutess
The evaluation of the two more bids Bruno received, and the equations, table and graph obtained from the bids are as follows;
The variables used for the bids are;x = The number of books
y = The total charge based on the pricing
The equations are;
Bid 7: y = 15·x + 3
Bid 8: y = 10·x + 40
Please find the completed table in the following explanation part
Part B;
Please find attached the graph of the two equations, created with MS Excel
What is an equation?An equation is a mathematical statement indicating that the quantity, magnitude or values of two expressions are the same.
The amount Bid 7 charges per book = $15
Amount paid upfront for Bid 7 = $5
Amount Bid 8 charges upfront = $40
Amount Bid 8 charges per book = $10
The variables are;
x = The amount charged per booky = The total amount paidThe equations are;
Bid 7: y = 15·x + 5Bid 8: y = 10·x + 40The table of values can be presented as follows;
Bid 7 \({}\) Bid 8
x \({}\) y = 15·x + 5 y = 10·x + 40
0 \({}\) 5 \({}\) 40
3 \({}\) 50 \({}\) 70
5 \({}\) 80 \({}\) 90
7 \({}\) 110 \({}\) 110
10 \({}\) 155 \({}\) 140
Part B;
Please find attached the required graph of the two equations, showing the legend and the scale for the x and y axis created with MS Excel.
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whats the answer to 3 1/2 divided by 2 1/4
Answer:
1.556
Step-by-step explanation:
Divide
3 and 1 over 23
1
2
÷ 2 and 1 over 42
1
4
= 28 over 18
28
18
Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
3 and 1 over 23
1
2
= ( 3 × 2 ) over 2
3 × 2
2
+ 1 over 2
1
2
= ( 6 + 1 ) over 2
6 + 1
2
= 7 over 2
7
2
Step 1 of 2: Divide, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 1 over 42
1
4
= ( 2 × 4 ) over 4
2 × 4
4
+ 1 over 4
1
4
= ( 8 + 1 ) over 4
8 + 1
4
= 9 over 4
9
4
Step 1 of 2: Divide, sub-step c: Divide.
Divide
7 over 2
7
2
÷ 9 over 4
9
4
= 7 over 2
7
2
× 4 over 9
4
9
= ( 7 × 4 ) over ( 2 × 9 )
7 × 4
2 × 9
= 28 over 18
28
18
To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.
Step 1 of 2: Divide.Hide
Step 2 of 2: Simplify.
Simplify
28 over 18
28
18
= 14 over 9
14
9
= 1 and 5 over 91
5
9
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
28 over 18
28
18
= ( 28 ÷ 2 ) over ( 18 ÷ 2 )
28 ÷ 2
18 ÷ 2
= 14 over 9
14
9
2 is the greatest common divisor of 28 and 18. Reduce by dividing both numerator and denominator by 2.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
14 over 9
14
9
= 1 and 5 over 91
5
9
14 ÷ 9 = 1 remainder 5
Answer:
1.5555555555556
Step-by-step explanation:
when you divide those numbers, thats your answer
classify the following differential equation s given in both standard and differential form. Q5 only
The volume of a tree stump can be modeled by considering it as a right cylinder. Lauren measures it’s height as 0.7ft and it’s radius as 20in find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary
The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.
To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:
Volume = π * r^2 * h
Given:
Radius (r) = 20 inches
Height (h) = 0.7 feet
First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:
Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches
Now, we can substitute the values into the volume formula:
Volume = π * (20 inches)^2 * 8.4 inches
Calculating the volume:
Volume = 3.14159 * (20 inches)^2 * 8.4 inches
≈ 3.14159 * 400 inches^2 * 8.4 inches
≈ 1005.3096 cubic inches
Rounding the volume to the nearest tenth:
Volume ≈ 1005.3 cubic inches
Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.
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A rectangle has a length 3x + 1 of and a width of Write an expression for the 3-9
perimeter of the rectangle.
The expression for the perimeter is P = 12x - 16
How to write an expression for the perimeter?The given parameters are
Length = 3x + 1
Width = 3x - 9
The perimeter is calculated as
P = 2 * (Width + Length)
So, we have
P = 2 * (3x + 1 + 3x - 9)
Evaluate
P = 2* (6x - 8)
Expand
P = 12x - 16
Hence, the expression for the perimeter is P = 12x - 16
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what is 118 as a mixed number in simplest form
Answer:
117 5/5, 116 10/5, 117 4/4
Step-by-step explanation:
The list is infinite
Answer:
115 15/5, 114 16/4, 112 60/10
Step-by-step explanation:
THIS IS NOT PLAGARISM SO SIMPLY DO NOT REPORT MY ANSWER I TOOK TIME AND EFFORT IN THIS. And the person who asked this, you can write is as a mixed number or fraction by taking away some wholes then making up a denominator and then do the many times you took away the whole and multiply the denominator that many times to be as your numerator Example:
3, say if i take 3 from 118 you are now left with 115.
now we are going to find a random EASY denominator depending on which you'd like.
Lets say 12 is our denominator. SO this so far would be 115 1/12.
Next we are going to find a numerator THAT IS THE MANY TIMES IT HAS BEEN TAKEN AWAY FROM THE 118. Which means we are going to multiply by 3 to the denominator which would be 36. So 36 would be your numerator.
It would look like this: 115 36/12
Simplify:
118
Find the side length of a cube with a volume of 141 f3 If necessary, round your answer to the nearest tenth.
The side length of the cube is 5.6 feet (rounded to the nearest tenth).
We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.
We can calculate s by taking the cube root of both sides of the equation:
\(s = (V)^{(1/3)\)
Substituting V = 141, we get:
\(s = (141)^{(1/3)\)
By using a calculator to evaluate this expression, we may determine:
s ≈ 5.6
As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.
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27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 35 college students are randomly selected, find the probability that
a. Exactly 9 of them major in STEM.
b. At most 11 of them major in STEM.
c. At least 11 of them major in STEM
The probability of getting exactly 9 of them major in STEM is 0.139 or 13.9%.
The probability of getting at most 11 of them major in STEM is approximately 0.898 or 89.8%.
The probability of getting at least 11 of them major in STEM is approximately 0.318 or 31.8%.
a. Exactly 9 of them major in STEM.
In this case, the probability of success (a student majoring in STEM) is 0.27, and the number of trials is 35. The probability of exactly 9 students majoring in STEM is then given by the formula:
P(X = 9) = (35 choose 9) x (0.27)⁹ x (0.73)²⁶
where (35 choose 9) is the number of ways to choose 9 students out of 35, and (0.27)⁹ x (0.73)²⁶ is the probability of 9 successes and 26 failures. Evaluating this expression gives a probability of approximately 0.139 or 13.9%.
b. At most 11 of them major in STEM.
To calculate the probability that at most 11 students out of 35 major in STEM, we can use the cumulative binomial probability distribution. This distribution calculates the probability of at most X successes, where X is any number from 0 to the total number of trials.
The probability of at most 11 students majoring in STEM can be calculated as follows:
P(X <= 11) = P(X = 0) + P(X = 1) + ... + P(X = 11) = 0.898 or 89.8%.
c. At least 11 of them major in STEM.
The probability of less than 11 students majoring in STEM can be calculated using the cumulative binomial probability distribution, as in part (b). Specifically:
P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)
Subtracting this probability from 1 gives the probability of at least 11 students majoring in STEM:
P(X >= 11) = 1 - P(X < 11) = 31.8%
Again, we can use the binomial distribution formula from part (a), or a binomial probability calculator or statistical software package to calculate this probability.
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What the meaning of statement this?
The proof demonstrates that given a well-ordered set W, an isomorphic ordinal can be found using the function F. The uniqueness of this ordinal is established using the Replacement Axioms. The set F(W) is shown to exist for each x in W, and if the least F(W) exists, it serves as an isomorphism of VV onto -y.
Lemma 2.7: This is a previously stated lemma that is referenced in the proof. Unfortunately, without the specific details of Lemma 2.7, it's difficult to provide further explanation for its role in the proof.
Well-ordered set W: A well-ordered set is a set where every non-empty subset has a least element. In this proof, W is assumed to be a well-ordered set.
Isomorphic ordinal: An ordinal is a mathematical concept that extends the notion of natural numbers to represent order and magnitude. An isomorphic ordinal refers to an ordinal that has a one-to-one correspondence or mapping with another ordinal, preserving their order and magnitude properties.
Function F: The function F is defined to assign an ordinal o to each element x in W. This means that for every x in W, there is a corresponding ordinal o.
Existence and uniqueness: The proof asserts that if there exists an ordinal o that is isomorphic to a specific initial segment of the ordinal VV (the set of all ordinals), then this ordinal o is unique. In other words, there is only one ordinal that can be mapped to the initial segment of VV given by x.
Replacement Axioms: The Replacement Axioms are principles in set theory that allow the construction of new sets based on existing ones. In this case, the Replacement Axioms are used to assert that the set F(W) exists, which is the collection of all ordinals that can be assigned to elements of W.
For each x in W: The proof states that for every x in W, there exists an ordinal o that can be assigned to it. If there is no such ordinal, the proof suggests considering the least x for which such an ordinal does not exist.
The least F(W): The proof introduces the concept of the least element in the set F(W), denoted as the least F(W). If this least element exists, it serves as an isomorphism (a one-to-one mapping) of the set of all ordinals VV onto the ordinal -y.
Overall, the proof outlines the existence and uniqueness of an isomorphic ordinal that can be obtained from a well-ordered set W using the function F, and it relies on the Replacement Axioms and the concept of least element to establish this result.
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Solve . Round to the nearest thousandths . (-2.93 ) divided by (-0.54)
Given:
(-2.93 ) divided by (-0.54)
To determine the value of (-2.93 ) divided by (-0.54), we apply the rule below:
\(\frac{-a}{-b}=\frac{a}{b}\)So,
\(\begin{gathered} \frac{-2.93}{-0.54} \\ =\frac{2.93}{0.54} \end{gathered}\)Then, we divide the numbers:
\(\begin{gathered} =\frac{2.93}{0.54} \\ =5.4259 \\ =5.426 \end{gathered}\)Therefore, the answer is 5.426.
Find the equation for the tangent plane to the surface z=8x^2-9y^2 at the point (2,1,23)
The equation of tangent plane to the surfacez = 8x² - 9y² at the point (2,1,23) is 32(x - 2) - 18(y - 1) -1(z - 23) = 0
Here, the equation of the surface is
z = 8x² - 9y²
Let us assume that f(x, y, z) = 8x² - 9y² - z
The partial derivative of f(x, y, z) would be:
\(\frac{\partial f}{\partial x}\) = 16x
\(\frac{\partial f}{\partial y}\) = -18y
\(\frac{\partial f}{\partial z}\) = -1
At point (2, 1, 23) the partial derivative of f(x, y, z),
\(\frac{\partial f}{\partial x}\) = 32
\(\frac{\partial f}{\partial y}\) = -18
\(\frac{\partial f}{\partial z}\) = -1
So, the equation of tangent plane would be,
32(x - 2) - 18(y - 1) -1(z - 23) = 0
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Plz help I've been crying about this question about number 8 plz help with number 8 I'll give brainiest.
Answer: I got ~17% (It's 17% as the problem asked for the answer to be rounded)
Step-by-step explanation:
I added the 12 possible chances from the spinner with the 6 sided die chances. This gets me 18. Since the problem is asking the probability of rolling an 8 or 10 alongside a 3, I did 3/18 and got 16.66% (repeating). I'm not entirely sure if I did this right, but I hope this helped somehow. Let me know if it's not the correct answer.
Is -6, -38 a solution to y= 7x+4
Answer:
Yes, (-6,-38) is a coordinate pair off the equation
Step-by-step explanation:
Plug y=7x+4 into your graphic caculator
press 2ND, GRAPH and scroll up to see the point.
To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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D. 12:28
es 22. The label on a box of cereal states that it
contains 6 servings. If there are 7.5 cups in
the box, how many cups of cereal are there
per serving?
ASAP PLEASE!!
Last week Grace spent $125 on groceries. This week her spending increased by 35%. How much did she spend on groceries this week?
A
$35.00
B
$43.75
С
$81.25
D
$168.75
How to write 45.803 in expanded form
Answer:
4+5+.8+.00+.003 if I remember correctly
The expanded form is 4*10+ 5* 1 + 8* 1/10 + 0* 1/100 + 3* 1/1000.
What is expanded form?The expanded form splits the number, and it represents the number in units, tens, hundreds and thousands form.
For example, the expanded form of the number 1572 is 1000+500+70+2.
Given number:
45.803
Now, expand the above number according to their place value
=4*10+ 5* 1 + 8* 1/10 + 0* 1/100 + 3* 1/1000
Hence, the expanded form is 4*10+ 5* 1 + 8* 1/10 + 0* 1/100 + 3* 1/1000.
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How to simplify this:
Arcctg(tg(x) )
The expression arcctg(tg(x)) simplifies to arcctg(tan(x)).
To simplify the expression arcctg(tg(x)), we can apply trigonometric identities and properties.
The function arcctg(x) is the inverse cotangent function, which is the angle whose cotangent is x. Similarly, tg(x) represents the tangent function.
First, let's simplify the expression inside the arcctg function, which is tg(x):
tg(x) = sin(x) / cos(x)
Now, we can substitute this value into the original expression:
arcctg(tg(x)) = arcctg(sin(x) / cos(x))
Using the property of inverse trigonometric functions, we can rewrite this as:
arcctg(sin(x) / cos(x)) = arcctg(1 / tan(x))
Now, we can simplify further using the identity:
1 / tan(x) = cot(x)
Therefore:
arcctg(1 / tan(x)) = arcctg(cot(x))
Using another identity, we know that the cotangent function is the reciprocal of the tangent function:
cot(x) = 1 / tan(x)
Therefore, we can simplify the expression to:
arcctg(cot(x)) = arcctg(1 / tan(x)) = arcctg(tan(x))
Finally, we arrive at the simplified expression:
arcctg(tg(x)) = arcctg(tan(x))
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V=T+ab How do you Solve for A
stered comsident p43336280840
Save the expression by solating the variable Hemember to balance the equation in each step you take
2
0-6
The result of the expression 20 - 6 is 14.
To solve the given expression, 20 - 6, and isolate the variable, we need to clarify whether there is an equation involved. However, in this case, the expression does not contain any variable to isolate, and it is not an equation that needs balancing. It is a straightforward arithmetic expression.
Step 1: Start with the given expression, 20 - 6.
Step 2: Evaluate the subtraction operation: 20 - 6 = 14.
Step 3: The simplified expression is now 14. However, since there is no variable present, there is no need to isolate any variable.
This means that when you subtract 6 from 20, the answer is 14. Remember that isolating a variable and balancing an equation are relevant when dealing with equations that involve variables. In this case, the expression is a simple subtraction operation, yielding a constant value of 14 as the answer.
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A motorboat can maintain a constant speed of 26 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 33 minutes; the return trip takes 19 minutes. What is the speed of the current?
Answer:
7 mph
Step-by-step explanation:
A boat whose speed in still water is 26 mph makes a trip upstream in 33 minutes and returns in 19 minutes. You want to know the speed of the current.
SetupThe travel time is inversely proportional to the speed, so we can write the proportion (using c for the current speed in mph) ...
time upstream / time downstream = speed downstream / speed upstream
33/19 = (26 +c)/(26 -c)
SolutionMultiplying by 19(26 -c) gives ...
33(26 -c) = 19(26 +c)
(33 -19)(26) = (33 +19)c . . . . add 33c -19(26)
14(26)/(52) = c = 7
The speed of the current is 7 miles per hour.
328 X 32 How to do it pls explain
Answer: 328 x 32 = 10,496
Step-by-step explanation:
The image explains how to do multi-digit multiplication :)
there+are+4+tablespoons+in+1/4+cup+there+are+2+cups+in+1+pint+How+many+tablespoons+are+in+1+pint
Answer:
32 tablespoons are in 1 pint
Step-by-step explanation:
1/4 cup = 4 tablespoons
2/4 = 8 tablespoons
3/4 = 12 tablespoons
4/4 (1 cup) = 16 tablespoons
16*2 = 32
1 pint = 2 cups = 32 tablespoons
Carpetland carpet installers incur an average cost of $300 for each carpet installed. Joan Chin, the firm’s vice president, proposes a new procedure for installations, which she hopes will be more efficient. Joan plans to run a trial and hopes that the results of a trial period will enable her to conclude with a level of significance of 0.05 that the new procedure reduces the average cost to install a carpet. If Joan's hypothesis test results in a Type II error, what would this mean?
Answer:
A Type II error happens when the null hypothesis failed to be rejected, although it is false and the alternative hypothesis is true.
In this context, would be that the test does not give enough evidence to support the claim that the new procedure reduces the average cost, although it really does reduces it.
The new procedure is effective, but the sample does not give enough evidence.
Step-by-step explanation: