Answer:
i think its b
Step-by-step explanation:
Multiply and simplify.
(t+8)(3+³+41+5)
Hint:
1. Multiply
t(3t³+4t+5)
2. Multiply 8(3t³ +4t+5)
3. Combine LIKE terms.
From midnight to 7:00 am, the temperature dropped 0.8°C
temperature at 7:00 am was 4.4 deg * C what was the temperature at midnight?
Answer:
5.2
Step-by-step explanation:
add back 0.8 from 7 am temp which is 4.4 degrees.
Answer:
5.2 °C
Step-by-step explanation:
4.4°C + 0.8°C = 5.2°C
Mrs. Nesbitt needs a cylinder-shaped container that has a volume of about 500 inches cubed. Her cabinet space can fit a container 10 inches high. She should choose a container that has what diameter?
A. about 4 inches
B. about 8 inches
C. about 10 inches
D. about 50 inches
Answer:
B. about 8 inches
Step-by-step explanation:
V = πR²h
V = π(D²/4)h
D = √(4V/πh)
D = √(4(500) / 10π)
D = √63.661977...
D = 7.97884...
How do you solve question 6? (attachment included)
Answer:
9 i think
Step-by-step explanation:
A bucket contains three slips of paper. One of the following colors is written on each slip of paper: Red, Blue, and Yellow.
Which list gives the sample space for pulling two slips of paper out of the bucket with replacement?
List 1
List 2
List 3
List 4
The list that gives the sample space for pulling two slips of paper out of the bucket with replacement is List 4.
The sample space for pulling two slips of paper out of the bucket with replacement means that after drawing the first slip of paper, it is returned to the bucket before drawing the second slip.
This means that each draw is independent of the previous draw, and the possible outcomes of each draw remain the same for all subsequent draws.
The possible outcomes for each draw are {Red, Blue, Yellow}, and there are three possible outcomes for each draw.
Since we are drawing with replacement, each draw has the same possible outcomes and the same number of outcomes. So, the total number of possible outcomes for two draws is simply the number of outcomes for a single draw raised to the power of 2:
3 x 3 = 9
Therefore, the list that gives the sample space for pulling two slips of paper out of the bucket with replacement is List 4.
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Use synthetic division and the Remainder Theorem to find P(a) . P(x)=2 x³-x²+10 x+5 ; a = 1/2 .
Using synthetic division and the Remainder Theorem, we can find that P(1/2) equals 17/8.
To find P(1/2), we can use synthetic division. First, we set up the synthetic division by placing the coefficients of P(x) in descending order: 2, -1, 10, 5. We then divide each term by the value of a, which in this case is 1/2. Starting with the first term, we multiply 2 by 1/2 to get 1, which we write under the line.
We then add -1 and 1, which gives us 0. Multiplying 0 by 1/2 gives us 0, which we write under the line. Adding 10 and 0 gives us 10, which we write under the line. Finally, multiplying 10 by 1/2 gives us 5, which we write under the line. The last number, 5, is the remainder when P(x) is divided by (x - a). According to the Remainder Theorem, this remainder is equal to P(a). Therefore, P(1/2) equals 5.
In summary, using synthetic division and the Remainder Theorem, we find that P(1/2) equals 5.
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An investment portfolio is shown below.
Investment Amount Invested ROR
Stock A $1,800 1.5%
Stock B $4,600 3.7%
Stock C $580 11.2%
Stock D $1,122 −2.8%
Using technology, calculate the weighted dollar amount of Stock C.
$27.00
$64.96
$170.20
$184.00
The required weight of the dollar amount of Stock C is $64.96.
The Correct option is (B).
What is simplification?In mathematics, the operation and interpretation of a function to make it simple or easier to grasp is known as simplifying, and the process is known as simplification.
Given:
Investment Amount Invested ROR
Stock A $1,800 1.5%
Stock B $4,600 3.7%
Stock C $580 11.2%
Stock D $1,122 −2.8%
According to the question,
Weight of dollar amount of Stock C
= 580 × 11.2%
= 580 x 0.112
= $64.96
Hence, the required weight is $64.96.
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The function s(t) describes the motion of a particle along a line s(t) = t3-9t2 + 8t (a) Find the velocity function of the particle at any time t2 0 v(t) = (b) Identify the time intervals on which the particle is moving in a positive direction. (Enter your answer using interval notation.) (c) Identify the time intervals on which the particle is moving in a negative direction. (Enter your answer using interval notation.) (d) Identify the time(s) at which the particle changes direction.
(a) The velocity function of the particle is v(t) = \(3t^2 - 18t + 8.\) (b) The particle is moving in a positive direction on the intervals (0, 2) and (6, ∞). (c) The particle is moving in a negative direction on the intervals (-∞, 0) and (2, 6). (d) The particle changes direction at the time(s) t = 0, t = 2, and t = 6.
(a) To find the velocity function, we differentiate the position function s(t) with respect to time. Taking the derivative of s(t) =\(t^3 - 9t^2 + 8t\) gives us the velocity function v(t) = \(3t^2 - 18t + 8.\)
(b) To determine when the particle is moving in a positive direction, we look for the intervals where the velocity function v(t) is greater than zero. Solving the inequality \(3t^2 - 18t + 8\) > 0, we find that the particle is moving in a positive direction on the intervals (0, 2) and (6, ∞).
(c) Similarly, to identify when the particle is moving in a negative direction, we examine the intervals where v(t) is less than zero. Solving \(3t^2 - 18t + 8\)< 0, we determine that the particle is moving in a negative direction on the intervals (-∞, 0) and (2, 6).
(d) The particle changes direction when the velocity function v(t) changes sign. By finding the roots or zeros of v(t) = \(3t^2 - 18t + 8,\) we discover that the particle changes direction at t = 0, t = 2, and t = 6.
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A single die is rolled one time What is the probability of rolling an even number or a 5?
Answer: 4/6 or 2/3
Step-by-step explanation:
Step-by-step explanation:
Total sample space , n(s) = 6
Favourable cases of rolling even number,
n(e) = 3
Favourable cases of rolling 5 , n(f) = 1
Probability of rolling an even number or a 5 is
= p(e) + p(f)
= n(e) / n(s) + n(f) / n(s)
= 3 / 6 + 1 / 6
= 4 / 6
= 2/3
Hope it will help :)❤
Solve the following equation for q
7p-5q=-35
Answer:
q = \(\frac{7}{5}\)p + 7
Step-by-step explanation:
7p -5q = -35 Subtract 7p from both sides of the equation
-5q = -7p - 35 /Dive all the way through by -5
q = \(\frac{7}{5}\)p + 7
Help please :) Karim's mass changed by -4 1/2 last month. Max's mass changed by -6 6/7 last month. Which person matches each description?
Answer:
Max,Karim
Step-by-step explanation:
Answer:
Max, Max
Step-by-step explanation:
I got it right on Khan Academy
:>
Use the distributive property to evaluate the following expression: 9(4 + 9) Show your work in your answer. I NEED THE WORK
The value of the expression 9(4 + 9) using the distributive property is 117.
To evaluate the expression 9(4 + 9) using the distributive property, we need to distribute the 9 to both terms inside the parentheses.
First, we distribute the 9 to the term 4:
9 * 4 = 36
Next, we distribute the 9 to the term 9:
9 * 9 = 81
Now, we can rewrite the expression with the distributed values:
9(4 + 9) = 9 * 4 + 9 * 9
Substituting the distributed values:
= 36 + 81
Finally, we can perform the addition:
= 117
Therefore, the value of the expression 9(4 + 9) using the distributive property is 117.
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Monu
QUR
Calculating Volume
A rectangular prism has a length of 8 meters, a width of 4 meters, and a height of 5 meters.
Which equations could be used to determine the volume, V, of the prism?
Select each correct answer.
DV=5x4x4
V = 32 x 5
V= 8x4x5
V = 12 x 5
1
2
3
4
5
6
Step-by-step explanation:
The volume of rectangular prism:
V = lwhGiven:
l = 8 m, w = 4 m, h = 5 mThe volume is:
V = 8*4*5 = 160 m³Correct choices are:
V = 32 × 5 V= 8 × 4 × 5Now
\(\\ \sf\longmapsto Volume=V=LBH\)
\(\\ \sf\longmapsto V=8(4)(5)\)
\(\\ \sf\longmapsto V=32(5)\)
\(\\ \sf\longmapsto V=160m^3\)
A binomial experiment has 4 trials in which p = 0.75. What is the probability of 1 success?
HELP PLSSS
a) 0.4394
b) 0.3945
c) 0.0639
d) 0.0469
Answer: d) 0.0469
Step-by-step explanation:
I honestly don't even know my mom answered this question-
What is the next number in the pattern below? 20, 22, 26, 42, A. 42 C. 74 B. 298 D. 64
The next number in the pattern is 42 plus 8, so it is 50.
What is the next number in the pattern?Here we have tthe sequence:
20, 22, 26, 42,
We can see that first we add 2, then we add 4, then we add 6, then the next number is 42 pplus 8, it gives:
42 + 8 = 50
That is the next number in the pattern.
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A manufacturer packages coffee beans in 50 kg
cartons with an allowable error of 0.7%
. what is the acceptable weight range for a carton of coffee beans?
select the answers from the drop-down lists to correctly complete the sentence.
the acceptable weight of the cartons ranges from kg
to kg
.
Answer:
49.65-50.35
Step-by-step explanation:
0.7% of 50 is 0.35. We can find the range by first subtracting that from 50 which is 49.65, then adding it to get 50.35.
If 120% is £360, what is 100%?
Answer:
300
Step-by-step explanation:
To get from 120% to 100% you divide by 1.2 360/1.2=300 :)
what’s the answer to -40 = 8(g-11)
Answer:
g = 6
Step-by-step explanation:
- 40 = 8 ( g - 11 )
- 40 = 8g - 88
+88 . +88
48 = 8g
__ . ___
8 . 8
6 = g
When confirming accounts payable, the approach is most likely to be one of: Group of answer choices Selecting the accounts with the largest balances at year-end, plus a sample of other accounts. Selecting the accounts of companies with whom the client has previously done the most business, plus a sample of other accounts. Selecting a random sample of accounts payable at year-end. Confirming all accounts.
Larger balances are more significant and material to the financial statements, and therefore require more scrutiny.
Confirming a sample of other accounts in addition to the largest balances provides coverage of the remaining population and helps to reduce the risk of material misstatement.
The approach for confirming accounts payable is most likely to be "Selecting the accounts with the largest balances at year-end, plus a sample of other accounts."
The most common approach is to select a sample of accounts for confirmation rather than confirming all accounts.
This approach is cost-effective and efficient, while still providing reasonable assurance that the accounts are accurate and complete.
There are various methods to select the sample of accounts, and the most appropriate approach depends on the circumstances of the engagement.
One approach is to select the accounts with the largest balances at year-end, as these are generally the most significant and material.
Additionally, a sample of other accounts can also be selected to ensure that a representative sample is obtained.
Another approach is to select the accounts of companies with whom the client has previously done the most business.
This approach can help to identify any potential issues with key suppliers or customers and ensure that the accounts with the greatest impact on the financial statements are confirmed.
A random sample of accounts payable at year-end can also be selected. This approach ensures that the sample is unbiased and provides a representative view of the population.
It may not be as effective as the other approaches mentioned above in identifying any potential issues with significant accounts.
Ultimately, the approach taken will depend on the specific circumstances of the engagement and the risks identified.
To ensure that the sample selected is appropriate and provides sufficient coverage of the accounts payable population to obtain reasonable assurance about the accuracy and completeness of the accounts.
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In the following set of numbers (18, 26, 29, 18, 44) what is the median?
A) 26
B) 27
C) 18
D) 24
The median of the following set of numbers (18, 26, 29, 18, 44) is 26. The correct option to this question is option A
To find median of the following sequence (18, 26, 29, 18, 44) we will arrange them in ascending order
18 , 18 , 26 , 29 , 44 . . . . . . . . . .(1)
Since the number of terms is odd we will apply the formula
Median = \(\frac{(n+1)}{2} th\) term . . . . . . .(2)
Here n = number of terms
As per question the n = 5
Therefore putting in equation 2 we get
Median = \(\frac{(5+1)}{2} th\) term
Median = \(\frac{6}{2} th \\\) term
Median = 3 term
Hence the third term from the sequence ( shown in 1 ) we get the median that is 26
Hence the median of the following set of numbers (18, 26, 29, 18, 44) is 26 .
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The median is:
26
Explanation:
First, we will arrange the numbers from least to greatest.
18, 26, 29, 18, 44
Rearrange
18, 18, 26, 29, 44.
Now, the median is the number in the middle, which is 26.
∴ Median = 26Question 9 Which of the following distributions has a mean that varies? I. The population distribution II. The distribution of sample data III. The sampling distribution of the sample mean
O ll only
O IIl only
O I only
O all three distributions
O II and III
II and III only distributions has a mean that varies
The mean of a distribution is a measure of the central tendency of the data, and it can vary depending on the sample being analyzed.
For the population distribution, the mean is a fixed value that is calculated using all of the data in the population. The mean of the population distribution does not vary.
For the distribution of sample data, the mean is calculated using the data in the sample. If you take different samples from the same population, the mean of each sample will be different, so the mean of the distribution of sample data varies.
For the sampling distribution of the sample mean, the mean is calculated using the means of multiple samples. The mean of the sampling distribution is known as the population mean. As with the distribution of sample data, the mean of the sampling distribution varies depending on the samples that are used to calculate it.
Therefore, the mean of the distribution of sample data and the sampling distribution of the sample mean both vary, while the mean of the population distribution does not vary.
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there are 8 ounces in 1/2 pound . how many ounces are in 7 3/4 lbs ?
Answer:
There are 124 ounces in 7 3/4 Ibs
In 73/4 lbs there are 124 ounces
What is unit conversion?Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.
Different units are used to measure different quantities. Let us explore the units used to measure the following:
LengthTemperatureAreaVolumeWeightGiven:
in 1/2 pound= 8 ounces
As 1 lbs= 1 pound
1 pound = 16 ounces
In 7 3/4 lbs = 31/4 lbs or pounds
=31/4*16
=31*4
=124 ounces
Hence, in 7 3/4 lbs there are 124 ounces.
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Please help me please help me please I got it wrong
Answer:
Adjacent and Complementary
Jenny has $2.40 deducted from her monthly allowance every time she forgets to do a chore. If she forgets three times in one month, what will be the change in Jenny's total allowance?
Answer: The charge would be $7.20.
hope that helps.
Jorge needs to reflect a figure across the line y = negative 4. Which statements are correct regarding steps he could take to complete the reflection? Check all that apply.
The correct statements regarding the steps Jorge could take to complete the reflection are:
1) Jorge should graph in the vertical line with values of -4 for the line of reflection.
2) Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.
3) Jorge could count how far each vertex of the figure is from the y-axis and count the same distance on the other side.
4) Jorge will not move any point that lies on the line of reflection.
5) Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.
6) Jorge could check his work by making sure that the image has the same orientation as the original.
To complete the reflection of a figure across the line y = -4, Jorge can take the following steps:
1) Jorge should graph the vertical line y = -4 as the line of reflection. This line represents the axis of reflection, and all points on this line will remain fixed in their positions after the reflection.
2) Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection. This will help him determine the distance and direction each point should move to reflect across the line.
3) Jorge could count how far each vertex of the figure is from the y-axis and count the same distance on the other side. Since the line of reflection is y = -4, which is parallel to the y-axis, he can use the distance from the vertex to the y-axis as a guide to placing the reflected point on the other side of the line.
4) Jorge will not move any point that lies on the line of reflection. Points on the line of reflection will remain fixed in their positions as they are symmetric to themselves across the line.
5) Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection. In a reflection, the midpoint of each line segment connecting a point and its reflection will lie on the line of reflection. Checking this property helps ensure the accuracy of the reflection.
6) Jorge could check his work by making sure that the image has the same orientation as the original. The orientation refers to the arrangement or direction of the figure's components (e.g., angles, lengths, shapes). If the image retains the same orientation as the original, it indicates a correct reflection.
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Question
Jorge needs to reflect a figure across the line y = negative 4. Which statements are correct regarding steps he could take to complete the reflection? Check all that apply.
1) Jorge should graph in the vertical line with values of –4 for the line of reflection.
2) Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.
3) Jorge could count how far each vertex of the figure is from the y-axis and count the same distance on the other side.
4) Jorge will not move any point that lies on the line of reflection.
5) Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.
6) Jorge could check his work by making sure that the image has the same orientation as the original.
Zoe earned $482.50 at her job when she worked for 25 hours. What was her hourly wage, in dollars per hour?
Answer:
19.3
Step-by-step explanation:
482.5/25=
19.3
Can someone help me find. The mean absolute deviation of the data?
Answer:
F
Step-by-step explanation:
21+14+30+38+42= 145
145÷5= 29
Hope this helps, have a good day!
(5x - 2y)^3
Expand using Bionomial Theorum. Show steps, please.
Answer:
125x³ − 150x²y + 60xy² − 8y³
Step-by-step explanation:
(5x − 2y)³
₃C₀ (5x)³ (-2y)⁰ + ₃C₁ (5x)² (-2y)¹ + ₃C₂ (5x)¹ (-2y)² + ₃C₃ (5x)⁰ (-2y)³
(1) (125x³) (1) + (3) (25x²) (-2y) + (3) (5x) (4y²) + (1) (1) (-8y³)
125x³ − 150x²y + 60xy² − 8y³
Find the midpoint of CD.
C = (-4,7) and D = (4,-1)
Answer:
(0, 3)
Step-by-step explanation:
midpoint = x1+ x2 ÷2
y1+ y2 ÷ 2
(1) An architect firm uses an average of 60 boxes of copier paper a day. The fim operates 280 days a year. Storage and handling costs for the paper are $30 a year per box, and its costs approximately $60 to order and receive a shipment of paper. (a) What quantity order size would minimize the total annual inventory cost? (b) Determine the minimum total annual inventory cost. (c) The office manager is currently using an order size of 300 boxes. The partners of the firm expect the office to be managed "in a cost-efficient manner." Would you recommend the manager to use your quantity from part (a) rather than 300 boxes? Justify your answer (by determining the total annual inventory cost for 300 boxes):
Part a: What quantity order size would minimize the total annual inventory cost? Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying Cost At minimum Total Annual Inventory Cost, the formula for the Economic Order Quantity (EOQ) is used. EOQ formula is given below: EOQ = sqrt((2DS)/H)Where, D = Annual DemandS = Ordering cost
The company should place an order for 168 boxes at a time in order to minimize the total annual inventory cost.Part b: Determine the minimum total annual inventory cost.Using the EOQ, the company can calculate the minimum total annual inventory cost. The Total Annual Inventory Cost formula is:Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying CostAnnual Ordering Cost = (D/EOQ) × S = (16,800/168) × $60 = $6,000Annual Carrying Cost = (EOQ/2) × H = (168/2) × $30 = $2,520Total Annual Inventory Cost = $6,000 + $2,520 = $8,520Therefore, the minimum Total Annual Inventory Cost would be $8,520.Part c: Would you recommend the manager to use your quantity from part (a) rather than 300 boxes? Justify your answer (by determining the total annual inventory cost for 300 boxes)
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