expression equivalent to -4(7 + 2m)
Answers
Answer:
Use the distributive property -28-8m
Step-by-step explanation:
-4(7+2m)
-28-8m
Related Questions
A furniture store purchased a sofa for $400. The store set the retail price at a 50% markup. When Karen purchases the sofa, she must also pay an 8% tax. How much does Karen pay for the sofa, including sales tax?
Answers
Answer:
$648.
Step-by-step explanation:
$400+50% = $600
$600+8%=$648
Which of the following are like terms?
Answers
The like term expressions are 3x^4 and 2x^4, 2x^2 and 3x^2 & finally 2x and 3x
How to determine the like termsLike terms are terms that have the same variable raised to the same power.
For example, in the expression 3x^2 + 4x^2, the terms 3x^2 and 4x^2 are like terms because they both have the variable x raised to the power of 2.
Using the above as a guide, we have the following like terms in the options
3x^4 and 2x^4, 2x^2 and 3x^2 & finally 2x and 3x
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End of Week Number 1 2 3 4 5 6 7 PV $ 60,000 $ 25,000 $ 15,000 $ - $ 30,000 $ 30,000 $ 30,000 EV $ 60,000 $ - $ 25,000 $ 15,000 $ 30,000 $ 30,000 $ 30,000 AC $ 62,000 $ - $ 26,000 $ 15,000 $ 32,000 $ 33,000 $ 30,000 1. What is the planned value (PV) at the END OF WEEK 7? 2. What is the earned value (EV) at the END OF WEEK 7? 3. What is the actual cost (AC) at the end of WEEK 7? 4. What is the cost variance (CV) at the end of WEEK 7? 5. What is the schedule variance (SV) at the end of WEEK 7? 6. What is the cost performance index (CPI) at the end of WEEK 7? 7. What is the schedule performance index (SPI) at the end of WEEK 7? 8. At the end of WEEK 7, how is this project performing? Use CPI nd SPI to justify your conclusion.
Answers
The project is performing well at the end of WEEK 7.
1. The planned value (PV) at the end of WEEK 7 is $30,000.
2. The earned value (EV) at the end of WEEK 7 is $30,000.
3. The actual cost (AC) at the end of WEEK 7 is $30,000.
4. The cost variance (CV) at the end of WEEK 7 is $0.
5. The schedule variance (SV) at the end of WEEK 7 is $0.
6. The cost performance index (CPI) at the end of WEEK 7 is 1.0 (CV/AC).
7. The schedule performance index (SPI) at the end of WEEK 7 is 1.0 (EV/PV).
8. At the end of WEEK 7, this project is performing according to the plan. The CPI and SPI are both equal to 1.0, indicating that the project is on track in terms of cost and schedule. The cost variance (CV) and schedule variance (SV) being zero further support this conclusion, as it means that the project is meeting its planned budget and schedule.
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The larget taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. The total weight of thee two ingredient wa 617. 3 kg. How many kilogram of each ingredient were ued?
Answers
The largest taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. then Amount of grilled steak used: 6.6 (79.17) = 538.356 kg
What is a unit amount in math?
When a price is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can, it is called a unit price. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio
1 k + 6.6 k = 617.3
Where “k” is a constant value, a multiplier.
Solving for k:
7.8 k = 617.3
k = 617.3 /7.8
k= 79.17
So:
Amount of onion used:
1 (79.17) = 79.17 kg
Amount of grilled steak used:
6.6 (79.17) = 538.356 kg
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Prove that (1+00*1) + (1+00*1) (0+10*1) (0+10*1) = 0*1 (0+10*1)
*
Answers
The equation (1+00*1) + (1+00*1) (0+10*1) (0+10*1) is not equivalent to 0*1 (0+10*1)*. That is (1+001) + (1+001) (0+101) (0+101) ≠ 01 (0+101)*.
Let's simplify both sides of the equation and show that they are equal:
Left side: (1+00*1) + (1+00*1) (0+10*1) (0+10*1)
= (1+0) + (1+0) (0+1) (0+1) [since 0*1 = 0]
= 1 + 1*1*1
= 1 + 1
= 2
Right side: 0*1 (0+10*1)*
= 0 (0+1*1)*
= 0 (0+1)*
= 0* [since 0+1 = 1 and 1* = 1]
= 0
Since the left side simplifies to 2 and the right side simplifies to 0, we can see that they are not equal. Therefore, the statement (1+00*1) + (1+00*1) (0+10*1) (0+10*1) = 0*1 (0+10*1)* is not true.
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Waiting period. Jamal is waiting to be a millionaire. He wants to know how long he must wait if a. he invests $22,108.44 at 21% today? b. he invests $45,104.11 at 16% today? c. he invests $152,814.56 at 8% today? d. he invests $276,434.51 at 6% today? a. How long will Jamal have to wait to become a millionaire if he invests $22,108.44 at 21% today? years (Round to the nearest whole number.)
Answers
If Jamal wants to become a millionaire, then Jamal must wait for 19 years if he invests $22,108.44 at 21% today, Jamal must wait for 18 years if he invests $45,104.11 at 16% today, Jamal must wait for 22 years if he invests $152,814.56 at 8% today, and Jamal must wait for 24 years if he invests $276,434.51 at 6% today
To calculate the waiting period for Jamal, follow these steps:
The formula for compound interest is given as: \(\[A=P{{\left( 1+\frac{r}{n} \right)}^{nt}}\]\) where P is the principal amount, r is the annual interest rate, t is the time the money is invested for, n is the number of times that interest is compounded per year and A is the amount of money accumulated after n years. The time required for $22,108.44 to grow to $1,000,000 at 21% can be calculated as \(\[1000000=22108.44{{\left( 1+\frac{21}{100} \right)}^{t}}\] \\ t=\frac{\ln (1000000/22108.44)}{\ln (1.21)}\). Therefore, t=19.25 years ≈19 years The time required for $45,104.11 to grow to $1,000,000 at 16% can be calculated as\(\[1000000=45104.11{{\left( 1+\frac{16}{100} \right)}^{t}}\] \\t=\frac{\ln (1000000/45104.11)}{\ln (1.16)}\). Therefore, t = 18.79 ≈18 yearsThe time required for $152,814.56 to grow to $1,000,000 at 8% can be calculated as \(\[1000000=152814.56{{\left( 1+\frac{8}{100} \right)}^{t}}\] \\t=\frac{\ln (1000000/152814.56)}{\ln (1.08)}\). Therefore, t = 22.18 years≈ 22 yearsThe time required for $276,434.51 to grow to $1,000,000 at 6% can be calculated as \(\[1000000=276434.51{{\left( 1+\frac{6}{100} \right)}^{t}}\] \\t=\frac{\ln (1000000/276434.51)}{\ln (1.06)}\). Therefore, t = 24.64 years ≈ 24years.Therefore, Jamal has to wait approximately 19, 18, 22, and 24 years respectively to become a millionaire by investing $22,108.44, $45,104.11, $152,814.56, and $276,434.51 respectively at 21%, 16%, 8%, and 6% interest rates.
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The volume of a rectangular prism is 550 cubic meters.
The length of the rectangular prism is 8 meters,
the width is x - 2, and the height is x + 5.
Find the value of x, and the dimensions of the rectangular prism.
Enter your answer as an integer or decimal.
V = lwh
X=
Width=
Meters
Height=
Answers
The value of x and the dimensions of the rectangular prism are as follows;
x = 7.5 m
length = 8 m
width = 5.5m
height = 12.5 m
volume of a rectangular prism = lwh
volume = 550 m³
l = 8
w = x - 2
h = x + 5
Therefore,
v = lwh
550 = (x + 5)(x - 2)8
550 = (x² - 2x + 5x - 10)8
550 = (x² + 3x - 10)8
550 = 8x² + 24x - 80
8x² + 24x - 80 - 550 = 0
8x² + 24x - 630 = 0
4x² + 12x - 315 = 0
using quadratic formula,
where
a = 4
b = 12
c = -315
-b ± √b² - 4ac / 2a
Therefore,
x = -10.5 or 7.5
x cannot be negative .
so, x = 7.5
x = 7.5 m
length = 8 m
width = 7.5 - 2 = 5.5 m
height = 7.5 + 5 = 12.5 m
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Given that Y= 3x – 8, what is the sum of the gradient and intercept of the linear equation? *
Answers
Answer:
- 5
Step-by-step explanation:
The equation of a line in slope - intercept form is
y = mx + c ( m is the slope (gradient) and c the t- intercept )
y = 3x - 8 ← is in slope- intercept form
with gradient m = 3 and y- intercept c = - 8 , thus
m + c = 3 + (- 8) = 3 - 8 = - 5
I need your help, please answer!!
Answers
Answer:
includes cluster lienier includes oulier
Step-by-step explanation:
:)
19y + 15x
Greatest common factor?
Answers
Answer:
1
Step-by-step explanation:
Greatest common factor of 19y + 15x is 1.
Answer: its 1
tacosarethebestyouknow:3
5. What is the missing number?
5,600 ÷
= 80
6. Kenji needs to make 525 storage
boxes for a move that is 72 days
away. If he wants to make about the
same number of boxes each day,
about how many boxes should he
make each day? Find compatible
numbers to estimate.
Answers
5. 70
6. not sure sorry :/
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.
Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)
Step 2: m∠w − m∠z = 90 degrees (corresponding angles)
Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z
Step 4: So, m∠x + m∠y = m∠w
In which step did the student first make a mistake and how can it be corrected? (5 points)
Step 1; it should be m∠x + m∠y + m∠z = 180 degrees (sum of corresponding angles)
Step 2; it should be m∠w + m∠z = 180 degrees (supplementary angles)
Step 1; it should be m∠x + m∠y + m∠z = 90 degrees (corresponding angles)
Step 2; it should be m∠w + m∠z = 90 degrees (alternate exterior angle)
Answers
Answer:
Step 2; it should be m∠w + m∠z = 180 degrees (supplementary angles)
Step-by-step explanation:
Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)
Step 2: m∠w − m∠z = 90 degrees (corresponding angles)
We are adding the angles to form a straight line which is 180 degrees
Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z
Step 4: So, m∠x + m∠y = m∠w
use differentials to approximate the value of the expression. compare your answer with that of a calculator. (round your answers to four decimal places.) 3 25
Answers
Approximate f(3.99) by adding the differential to f(4): f(3.99) ≈ 2 + (-0.0025) = 1.9975. Using a calculator, the square root of 3.99 is approximately 1.9975.
To approximate the value of an expression using differentials, we need a function and a point close to the given value. It seems that some information is missing from your question, so I will provide an example using a different expression.
Suppose we want to approximate the square root of 3.99 using differentials. We can use the function f(x) = √x and the point x = 4 (which is close to 3.99).
First, find the derivative of f(x): f'(x) = 1 / (2√x)
Now, calculate the differential: dy = f'(x) * dx
Since x = 4 and dx = 3.99 - 4 = -0.01, we get: dy = f'(4) * (-0.01) = 1 / (2√4) * (-0.01) = -0.0025
Now, find the value of f(x) at x = 4: f(4) = √4 = 2
Finally, approximate f(3.99) by adding the differential to f(4): f(3.99) ≈ 2 + (-0.0025) = 1.9975
Using a calculator, the square root of 3.99 is approximately 1.9975. The answers match up to four decimal places.
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The games in a game arena are numbered from 1 to 30. In order to win bands, the players are supposed to play each game in order. Each game is played only once. For every 4 wins in a row, the player earns one band. Sam won all the games he played and earned 4 bands. He continued playing after that. What could be the number of the game he must be playing now? Select all the correct answers.Immersive 8 17 19 20 24
Answers
The games in a game arena are numbered from 1 to 30 and accordingly the order conditions are given. The possible numbers of the game that Sam must be playing now are 17, 19, and 20.
Since Sam earned 4 bands, he must have won 4 sets of 4 games in a row. Each set of 4 games consists of consecutive game numbers.
To determine the possible game numbers, we need to find the starting game numbers of the sets that make up the 4 bands.
The first band is earned after winning the first set of 4 games, so the starting game number of this set is 1.
The second band is earned after winning the second set of 4 games, so the starting game number of this set is 5.
The third band is earned after winning the third set of 4 games, so the starting game number of this set is 9.
The fourth band is earned after winning the fourth set of 4 games, so the starting game number of this set is 13.
Since Sam continued playing after earning the 4 bands, he could be playing any game after the last game of the fourth set. Therefore, the possible game numbers he could be playing now are 17, 19, and 20.
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Please help me determine the volume. c;
Answers
Answer:
The answer is 720 ft of the triangular prism.
Step-by-step explanation:
10ft (x6) > 12= 720
What is the best estimate for 56.23 - 45.9?
A. 9
B. 10
C. 11
D. 15
Answers
Answer:
10 Letter B
Step-by-step explanation:
56.23 rounds down to 56 and 45.9 rounds up to 46. So 56 - 46 = 10
NEED HELP ASAP!The maker of a cell phone screen protector would like to estimate the proportion of customers who file a warranty claim. To do so, they select a random sample of 200 customers and determine that the 96% confidence interval for the true proportion of customers who file a warranty claim to be 0.15 to 0.28. Which of the following can be accounted for by the margin of error of this interval?
response bias
nonresponse bias
sampling variation
undercoverage bias
Answers
Answer: sampling variation
Step-by-step explanation: took the quiz
The margin of error is given by the sampling variation of the proportion of customers
What is simple random sampling ( SRS )?The most accurate type of probability sampling is random sampling. Each person in a population has an equal probability of getting selected for the sample thanks to this method of sampling.
This kind of sampling is perfect for highly controlled investigations where it is unacceptable to have human bias in the selection of the sample.
Each sampling unit in a population has an equal probability of being included in the sample when using simple random sampling (SRS). As a result, each potential sample has an equal probability of being chosen.
Given data ,
Let the margin of error be represented as A
where the value of A is
The confident interval is = 96 %
And , the value of sample is of 200 customers
where the warranty claims from 0.15 to 0.28
So , the cell phone screen protector maker can be 96% confident that the interval from 0.15 to 0.28 captures true proportion of customers who file a warranty claim
Therefore , it is a sampling variation
Hence , the situation is a sample variation
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Which type of sample is selected to reflect the demographic characteristics of the population of interest
Answers
The type of sample that is selected to reflect the demographic characteristics of the population of interest is representative samples. Option b is correct.
Representative samples are selected to reflect the demographic characteristics of the population of interest. This sampling method aims to ensure that the sample closely resembles the larger population in terms of its demographic composition.
By including individuals from various demographic groups in the sample, representative samples allow for more accurate generalizations and conclusions to be drawn about the population as a whole. This sampling approach is commonly used in research studies and surveys to gather data that is representative of the larger population's characteristics and attitudes.
Therefore, b is correct.
Which type of sample is selected to reflect the demographic characteristics of the population of interest?
A. Convenience samples
B. Representative samples
C. Random samples
D. Cumulative samples
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please help me with this question
Answers
Answer:
The answer is A, the first one
Step-by-step explanation:
Hope this helps!
You measure containers for international shipments. The height of the standard container is 6 feet and 7 inches. Which of the following is closest to its height in meters?
Answers
6ft 7in = 79 inches = 79 x 2.54 cm = 200.66cm = 2.0066 metres exactly.
You didn’t supply the possible answers to choose between
Finding the median
{12, 9, 10
Answers
Answer:
in this case its 10
Step-by-step explanation:
Finding the media means finding the middle in this case there is 3 numbers u would put them numerical order and count to see which is in the middle.
28 degree + x-4 degree+2x=180 degree
Answers
Answer:
x = 52
Step-by-step explanation:
28 + x - 4 + 2x = 180
Simplify the left side
3x + 24 = 180
Subtract 24 from each side
3x = 156
Divide each side by 3
x = 52
Help! look at the image of the table of values below. Over which interval of x is the average rate of change the largest?
Answers
Answer:
A
Step-by-step explanation:
There is no way to tell a pattern.
consider an experiment with groups, with values in each. for the anova summary table shown to the right, fill in all the missing results.
Answers
The ANOVA (Analysis of Variance) summary table is used to analyze the variation among groups in an experiment. It provides important statistical information to determine if there are significant differences between the groups.
The ANOVA summary table typically includes the sources of variation (such as between groups and within groups), the degrees of freedom, the sum of squares, the mean square, the F-statistic, and the p-value. These values are calculated based on the data from the experiment and are crucial in determining the significance of the observed differences.
To construct an ANOVA summary table, several calculations need to be performed. The first step involves calculating the sum of squares (SS) for each source of variation. The degrees of freedom (df) are then determined based on the number of groups and the total sample size. Using the SS and df values, the mean square (MS) is calculated by dividing the SS by the corresponding df.
The F-statistic is obtained by dividing the between-groups mean square by the within-groups mean square. Lastly, the p-value is determined based on the F-distribution and the degrees of freedom. The p-value represents the probability of observing the obtained F-statistic or a more extreme value if the null hypothesis (no significant difference between groups) is true.
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May 23, 8:49:32 PM
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In physics lab, Austin attaches a wireless sensor to one of the spokes of a bicycle
wheel spinning freely on its axle. The sensor's height above the ground, in
centimeters, is given by the function h(t) = 7.46 cos(2(t-0.25)) + 38.86,
where t is time measured in seconds.
What is the minimum and what does it represent in this
context?
Answers
The minimum is 29 cm and it represents the sensor's minimum height above the ground.
How to interpret the graph of a cosine function?In Mathematics and Geometry, the standard form of a cosine function can be represented or modeled by the following mathematical equation (formula):
y = Acos(Bx - C) + D
Where:
A represents the amplitude.B = 2π/P.P represents the period.C represents the phase shift.D represents the center line (midline).By critically observing the graph which models the sensor's height above the ground (in centimeters) shown in the image attached below, we can reasonably infer and logically deduce that it has a minimum height of 29 centimeters.
In conclusion, the sensor's minimum height above the ground cannot exceed 29 centimeters.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Use a ruler and pair of compasses to make an accurate drawing of line
AB and its perpendicular bisector, as shown. You must show all of your
construction lines.
Mark point C on your drawing.
Measure the length of AC in your drawing to 1 d.p.
Answers
Step-by-step explanation:
1. Draw a line of 8cm.
2. Take a compass and keep it in the length of more than 8 cm.
3. Draw an arc from point A and B which will intersect at point between A and B.
4. Draw a straight line from the arc.
5. You will find out that the line will be drawn exactly between A and B at 4cm.
We always evaluate just the specific result obtained in the experiment. True or False.
Answers
False. We do not always evaluate just the specific result obtained in an experiment.
In scientific experiments, we do not just evaluate the specific result obtained in the experiment. Instead, we evaluate the entire experimental design, including the methods used, the sample size, and the statistical analysis.
For example, suppose a researcher conducts an experiment to test a new drug's effectiveness in treating a particular disease. If the result of the experiment shows that the drug is effective, the researcher cannot simply conclude that the drug works based on this one result. Instead, the researcher must evaluate the experimental design to ensure that the result is reliable and valid.
This evaluation includes examining the study's methods to determine if they are appropriate and if the sample size is large enough to produce meaningful results. It also involves statistical analysis to assess the strength of the relationship between the treatment and the outcome and to determine if the result is statistically significant.
Therefore, evaluating just the specific result obtained in an experiment is not sufficient. We must also consider the experimental design, methods used, sample size, and statistical analysis to draw valid and reliable conclusions from the experiment.
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12 POINTS
The first figure is dilated to form the second figure. What is the scale factor
Answers
Answer:
0.8
Step-by-step explanation:
8 divided by 0.8= 10
10 times 0.8= 8
:)
David has kept track of his family’s grocery bills for the past
10 weeks, as shown in the table.
Week 1 2 3 4 5 6 7. 8 9 10
Bill ($) 92 106 129 115 100 84 110 156
98 87
Would you choose to use a histogram, a circle graph, or a line graph to
display the data? Explain your choice.
Answers
Answer:
it is more easier to use a histogram and accurate
Answer:
Line graph
Step-by-step explanation:
A line graph is specifically used to display data that changes over time, a line plot uses several points connected by straight lines on an x and y axis.
I wouldn't choose a histogram because a histogram is used to summarize continuous data.
As well as I wouldn't use a circle graph becasue it is often used to show the percentage of of population who gave a certain answer.
How do I find the slope in this problem?
Answers
The slope of the graph is \(-8\frac{1}{2}\).
How to find the slope of a line?The slope of a line is the change in the independent variable with respect to the change in the dependent variable.
The slope is rise over run.
The slope of the line in the graph be found as follows:
slope = m = y₂ - y₁ / x₂ - x₁
using (1, -8) and (-1, 9)
x₁ = 1
x₂ = - 1
y₁ = - 8
y₂ = 9
Therefore,
slope = m = 9 + 8 / -1 - 1
slope = 17 / - 2
Therefore,
slope = - 17 / 2
slope = \(-8\frac{1}{2}\)
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