Following expressions are represented as a sum
14. 8y +16
16. a² +3a
18. 2m² + 8m
13. 5m - 10
15. -3m -12
17. h² - 2h
19. -2z + 16
20. -4x² + 40x
The distributive property is also known as the distribution law of multiplication in addition and subtraction. The name itself means the activity that involves dividing or distributing something. The distribution law applies to addition and subtraction.The distributive property shows that an expression given in the form A(B + C) can be solved as A × (B + C) = AB + AC. This distribution law also applies to subtraction and is expressed as A(B - C) = AB - AC. This means operand A is split between the other two operands. The distributive property of multiplication on addition is applied when we need to multiply a number by the sum of two numbers. For example, let's multiply 7 by the sum of 20 + 3. Mathematically we can represent this as 7 (20 + 3).
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Mark used the computer for 12 hours. If the average power use of a computer per hour is 299 watts, how much power did Mark use?
Answer:
Step-by-step explanation:
what is the answer
Answer:
b
Step-by-step explanation:
Same set up as the problem to the left. Fill in the blanks.
The blanks that are missing in the sequence are -3 and 11
How to fil in the blanks in the sequencefrom the question, we have the following parameters that can be used in our computation:
The blanks in the sequence
When listed out, we have
_, _, 25, 39
Assuming that the sequence, is an arithmetic sequence, then we have
Common difference = 39 - 25
Common difference = 14
This means that
Previous term = 25 - 14 = 11
Firs term = 11 - 14 = -3
So, the missing terms are -3 and 11
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Sixteen people are going to share 200 crackers evenly. How many whole crackers does each person get?
Answer:
12
Step-by-step explanation:
Calculator
Use the function f(x) to answer the questions: f(x) = 2x^2 − x − 10
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Which number is the additive inverse of
-472
-44
1
45
What is the answer to this solution? solve for all possible values of x.
ANSWER
EXPLANATION
To solve this equation, first, square both sides of the equation,
\((\sqrt[]{25-3x})^2=(x-9)^2\)Simplify the square root with the exponent and expand the binomial squared on the right side of the equation,
\(25-3x=x^2-18x+81\)Then, subtract 25 from both sides and add 3x to both sides,
\(\begin{gathered} 25-25-3x+3x=x^2-18x+3x+81-25 \\ \\ 0=x^2-15x+56 \end{gathered}\)This is a quadratic equation that we can solve using the quadratic formula,
\(\begin{gathered} if\text{ }ax^2+bc+c=0 \\ then\text{ }x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \end{gathered}\)In this case, the coefficients are a = 1, b = -15 and c = 56,
\(undefined\)What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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What is the measure of L? A. 25 B. Cannot be determined C. 39 D. 32
The required measure of ∠L=25° for the given triangle.
What is a Triangle?A triangle is a closed shape composed of three angles, three sides, and three vertices. It is one of the most fundamental geometric forms and is represented by the symbol Δ.
If two sides of a triangle are congruent, then the angles opposite those sides are congruent.:
∠KJL = ∠JLK
Substitute ∠KJL = 25° into ∠KJL = ∠JLK: 25° = ∠JLK
∠JLK = 25°
Thus, the required measure of ∠L=25°.
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PLEASE SOMEONE TELL ME THE VALUE OF THESE COINS PLEASE
There are 6 yellow balls and 9 green balls in a bag. If 3 balls are chosen one by one randomly from the bag without replacement, find the probabilities of the following events.
(a) The first ball chosen is yellow and the last two balls chosen are green.
(b) Only the first two balls chosen are of the same colour.
Answer:
The answer will be A.
Simplify. (6-7i)+(5+4i)
To solve;
(6-7i)+(5+4i)
open the parenthesis
6-7i + 5 + 4i
Re-arrrange
6 + 5 -7i + 4i
11 - 3i
Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows. 42 89 38 27 60 67 73 9 27 38 59 50 87 54 48 20 33 85 52 90 50 50 52 35 46 35 35 46 37 46 Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) Percent of Wetlands Lost COVOU AWN NONE 377 3555788 22666 000 26 99 07 >XXXXX 5 77 How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.) These data are strongly skewed left. The percentages are concentrated from 20% to 60%. These data are fairly symmetric, perhaps slightly skewed right. There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands. There are no gaps in the data. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands. The percentages are concentrated from 60% to 90%.Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows. 42 89 38 27 60 67 73 9 27 38 59 50 87 54 48 20 33 85 52 90 50 50 52 35 46 35 35 46 37 46 Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) Percent of Wetlands Lost COVOU AWN NONE 377 3555788 22666 000 26 99 07 >XXXXX 5 77 How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.) These data are strongly skewed left. The percentages are concentrated from 20% to 60%. These data are fairly symmetric, perhaps slightly skewed right. There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands. There are no gaps in the data. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands. The percentages are concentrated from 60% to 90%.
The stem-and-leaf plot of the given data is attached.
A stem-and-leaf plot refers to a device used to present quantitative data in a graphical format to help in visualizing the shape of a distribution. It is a table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).
From the given options, the statements that describe the percentages distributed, distribution skewness and whether there are any gaps are:
The percentages are concentrated from 20% to 60% as these concentrations have more than one values. These data are fairly symmetric, perhaps slightly skewed right, considering the midpoint, 4.5, there are fairly equal number of values on each side, perhaps a little more on the right side.There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands, as there are no values corresponding to 1, or no values between 10 and 19 percent.Learn more about Stem-and-leaf plot:
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A television show aired once a week for 4.5 years. How many weeks did the show last?
For 235 weeks the show lasts.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
A television show aired once a week for 4.5 years.
So, In four years number of weeks are
= 52.1429 weeks
and, in 6 months the number of weeks
= 4.34524 weeks
So, the number weeks the show last
= 52.1429 x 4 + 4.34524 x 6
= 234.6431
= 235 weeks
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14/5 x 8/2 cross multiplication btw help
Answer:
Step-by-step explanation:
To multiply 14/5 and 8/2 using cross multiplication, you can follow these steps:
Write the two fractions next to each other, separated by a multiplication sign:
14/5 x 8/2
Multiply the numerator of the first fraction by the denominator of the second fraction, and write the result as the numerator of a new fraction:
14 x 2 = 28
Write this as a fraction with the denominator of the first fraction:
28/5
Multiply the numerator of the second fraction by the denominator of the first fraction, and write the result as the numerator of a new fraction:
8 x 5 = 40
Write this as a fraction with the denominator of the second fraction:
40/2 = 20
Write the two fractions together as a product:
14/5 x 8/2 = 28/5 x 20
Simplify the product if possible. In this case, we can simplify by dividing both the numerator and denominator of 28/5 by 2:
28/5 = 14/5 x 2/2 = 14/5
So the final result is:
14/5 x 8/2 = 14/5 x 20 = 56
Answer: 40/28 or 10/7 or 1 3/7
Step-by-step explanation:
14/5 x 8/2
= 8 x 5 and 14 x 2
= 40 and 28
Thus, you would just put the 2 numbers in a fraction form to get your product.
If you want the simplified versions, you would get 10/7 or 1 3/7.
Consider the functions below. f(x)=8x^2+x+3, g(x)=4x-1, h(x)=3x+6. Which of the following statements is true?
A.
As x approaches infinity, the value of g(x) eventually exceeds the values of both f(x) and h(x).
B.
Over the interval [3, 5], the average rate of change of g and h is more than the average rate of change of f.
C.
Over the interval [0, 2], the average rate of change of f and h is less than the average rate of change of g.
D.
As x approaches infinity, the values of g(x) and h(x) eventually exceed the value of f(x).
The functions f(x)=8x^2+x+3, g(x)=4x-1, h(x)=3x+6 C.Over the interval [0, 2], the average rate of change of f and h is less than the average rate of change of g is true.
What is increasing function?
⇒ The function is said to be increasing if the y value increases as the x value increase over a given range
What is average rate of change?
⇒An average rate of change function is a process that calculates the amount of change in one item divided by the corresponding amount of change in another
As x approaches infinity the value of f(x) eventually exceeds the value of both g(x) and h(x)
And it is true for the interval [0,2]
The faster the growth rate higher the average rate of change
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Answer:
C.
Over the interval [0, 2], the average rate of change of f and h is less than the average rate of change of g.
solve the equation by using the quadratic formula. x^2+2x=6
Answer:
\(\Huge \boxed{{x=-1\pm \sqrt{7}}}\)
Step-by-step explanation:
x² + 2x = 6
Subtract both sides by 6.
x² + 2x - 6 = 0
ax²+bx+c=0
a=1, b=2, and c=-6
We can apply the quadratic formula.
\(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)
Plug in the values.
\(\displaystyle x=\frac{-2\pm\sqrt{2^2-4(1)(-6)}}{2(1)}\)
Evaluate.
\(\displaystyle x=\frac{-2\pm\sqrt{4-(-24)}}{2}\)
\(\displaystyle x=\frac{-2\pm\sqrt{28}}{2}\)
\(\displaystyle x=\frac{-2\pm 2\sqrt{7}}{2}=-1 \pm \sqrt{7}\)
Answer: Edmentum and Plato
Step-by-step explanation:
What is the missing statement in the proof? Scroll down to see the entire proof. a ∠BDC≅∠ADB b ∠BCA≅∠DCB c ∠BAC≅∠BAD d ∠DBC≅∠BAC
The missing statement in the proof specified is given by: Option B: ∠BCA≅∠DCB
What is the reflexive property of congruence?
According to the reflexive feature of congruence, the geometric quantity under consideration—be it an angle, a line segment, a form, etc.—is congruent to itself.
The third step's key concept in this instance is the "Reflexive Property of Congruence."
The fourth phase comes to the conclusion that the ΔABC~ΔBDC criteria for similarity are met.
Since it was established in the second stage that ∠ABC≅∠BDC
Therefore, in order for the fourth step to apply angle-angle similarity, which requires the angles of two considered triangles to be congruent, we must demonstrate another angle pair of triangles ΔABC and ΔBDC being congruent in the third step.
Internal angle C is the common angle in the triangles ABC and BDC.
As a result, it is consistent with itself due to its reflexive characteristic.
We obtain the following notation for internal angle C from triangle ABC:
Angle ACB and BCA(both will work)
Triangle BDC gives us the following notation for internal angle C:
Angle DCB and BCD(Both will function.)
They fit together. The second choice takes angle C into account, so:
∠BCA≅∠DCB (second option) is the missing statement.
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Describe at least two differences between constructing parallel lines and constructing perpendicular lines.
By using the compass to measure a distance from the original line, and then transferring that distance to another point on the line, a parallel line can be drawn.
What is the parallel lines?
Parallel lines are two lines in a plane that never intersect.
1. Orientation of Lines:
Parallel lines are lines that never intersect and remain equidistant from each other at all points.
When constructing parallel lines, the lines are drawn in the same direction and maintain the same distance between them throughout their entire length. They do not meet or cross each other.
On the other hand, perpendicular lines are lines that intersect at a right angle (90 degrees). When constructing perpendicular lines, the lines are drawn so that they intersect at a right angle, forming four right angles at the point of intersection.
2. Tools/Methods Used:
Constructing parallel lines and constructing perpendicular lines may require different tools or methods.
To construct parallel lines, one common method is to use a straightedge and a compass. A straightedge is used to draw a straight line, and a compass is used to measure and transfer distances to create additional parallel lines.
Therefore, By using the compass to measure a distance from the original line, and then transferring that distance to another point on the line, a parallel line can be drawn.
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Factor out the distributive property to factor out the greatest common factor of 44+48
Answer:
Step-by-step explanation:
4(11 + 12)
I need help with this problem please I am stuck and want to get it
The standard for of a parabola equation is given by:
\(\begin{gathered} (y-k)^2=4p(x-h) \\ or \\ (x-h)^2=4p(y-k) \end{gathered}\)Considering the first form with h = 3, p = 1/16 and k = -4 we have:
\(\begin{gathered} (y+4)^2=\frac{4}{16}(x-3) \\ (x-3)=4(y+4)^2 \end{gathered}\)Therefore, the equation represents a parabola where h = 3, k = -4 and p = 1/16
out of a group of zebras 6/5 times the square root of the number of zebras are playing on the shore of the tank remaining six are quarrelling in the water calculate the total number of zebras
Answer:
Step-by-step explanation:
(6/5)√x = x - 6
(36/25)x = x² - 12x + 36
0 = x² - 13.44x + 36
x = (13.44 ± √(13.44² - 4(1)(36))) / (2(1))
x = (13.44 ± 6.052569702...) / 2
x = 3.69371... zebras
or
x = 9.74628... zebras
In either case we have some odd fractions of zebras hanging around. This makes me highly suspect that the question is misreported
Evaluate the expressions 56 with a variable of -1
Answer:
The expression 56 with a variable of -1 is not well defined. The term 56 is a constant number, and the variable of -1 is also a constant. Therefore there is nothing to evaluate.
Step-by-step explanation:
If you want to evaluate the expression 56*(-1) it would give -56 as output because -1 is a scalar and multiplying with a scalar will change the sign of the constant 56 but it won't change its value.
In other words, to evaluate an expression, it needs to have a mathematical operation or function, operands, and/or variables that can be replaced with values or expressions. Without any operation, there's nothing to evaluate.
8 Mineral Hardness Common object Diamond 10 Corundum 9 Topaz Quartz 7 Feldspar 6 Steel file (6.5) Apatite 5 Glass (5.5) Fluorite 4 Iron nail (4.5) Calcite 3 Copper penny (3) Gypsum 2 ] Fingernail (2.5) Talc 1 2. On the Mohs Hardness Scale, which mineral can scratch Gypsum and Apatite, but can be scratched by quartz?
Answer:
feldspar, because it has a higher number then gypsum and apatite, and it can be scratched by quartz because it has a lower number.
Lauder Company had fixed costs of $282,500, variable costs of $645,000, and actual sales amounted to $1,100,000. If the company has a break-even point at $750,000 in sales revenue.a. determine the margin of safety expressed in dollars
b. determine the margin of safety expressed as a percentage of sales. Enter percentage amount as a whole number.
____%
c. Determine contribution margin ratio
_____%
d. Determine the operating income
$______
The Operating income is $172,500.
To calculate the margin of safety, contribution margin ratio, and operating income, we need to use the given information.
a. Margin of Safety:
Margin of Safety = Actual Sales - Break-even Sales
Given that the break-even point is at $750,000 in sales revenue and actual sales are $1,100,000, we can calculate the margin of safety:
Margin of Safety = $1,100,000 - $750,000 = $350,000
Therefore, the margin of safety is $350,000.
b. Margin of Safety as a Percentage of Sales:
Margin of Safety Percentage = (Margin of Safety / Actual Sales) * 100
Using the values from the previous calculations:
Margin of Safety Percentage = ($350,000 / $1,100,000) * 100 = 31.82%
Therefore, the margin of safety expressed as a percentage of sales is approximately 31.82%.
c. Contribution Margin Ratio:
Contribution Margin Ratio = (Contribution Margin / Sales) * 100
To calculate the contribution margin, we need to subtract variable costs from sales:
Contribution Margin = Sales - Variable Costs = $1,100,000 - $645,000 = $455,000
Using the values, we can calculate the contribution margin ratio:
Contribution Margin Ratio = ($455,000 / $1,100,000) * 100 = 41.36%
Therefore, the contribution margin ratio is approximately 41.36%.
d. Operating Income:
Operating Income = Sales - Variable Costs - Fixed Costs
Using the values provided:
Operating Income = $1,100,000 - $645,000 - $282,500 = $172,500
Therefore, the operating income is $172,500.
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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
rate= 5 in
height= 2 in
to find:the volume of the cylinder in terms of pi.
solution:\(v = \pi {r}^{2} h\)
\(v = {r}^{2} h\)
\(v = {5}^{2} \times 2\)
\(v = 50\pi \: {in}^{3} \)
volume=pi r^2 h
volume= 5^2×2
volume= 50 pi in^3
hope this helps
Find the area, to the nearest thousandth, of the indicated region of the standard normal distribution. The region where z < −0.38
The area of the indicated region of the standard normal distribution is 0.3520.
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
\(z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation\)
From the normal distribution table, the region where z < −0.38 = P(z < -0.38) = 0.3520
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Task #5: Map Activity Sheet
Answer:
I don't know the answer sorry
My age this year is multiple of 8. My age next year is a multiple of 7. How old am I?
8x + 1 = 7
y - x = 1
y = 1 + x
sub 1 + x in eqtn i
8x + 1 = 7 { 1 + x }
8x + 1 = 7 + 7x
8x - 7 = 7 - 1
x = 6
y - 6 = 1
y = 1 + 6
y = 7
So,
8x = 8 x 6 = 48
7y = 7 x 7 = 49
My present years is 48
Next year i will be 49
What is multiple?Multiple can be defined as a number that is the product of a given number and some other natural number. For example when we multiply 7 × 3=21 or 8×3 =24
Therefore my present age is 48 and next year will be 49
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Using the income statement below, calculate the following profitability ratios for Western Bookkeeping and Tax Service. Assume that stockholder's equity equals $441,600 and total assets equal $640,000.
Profit margin ratio
Return on equity ratio
Asset turnover ratio
Write the profit margin and return on equity ratios as a percent, rounded to the nearest percent. Write the asset turnover ratio as a decimal, rounded to two decimal places.
The computation of the profitability ratios for Western Bookkeeping and Tax Service is as follows:
Profit margin ratio = 8%Return on equity ratio = 8%Asset turnover ratio = 0.75.What are profitability ratios?Profitability ratios are the financial ratios that evaluate an entity's ability to convert its earnings (revenue) into profit versus different criteria.
Some of the common profitability ratios include:
Gross Profit MarginOperating Income RatioNet Income RatioReturn on Investment (ROI)Return on EquityReturn on Total AssetsAsset turnover RatioEarnings per share.Stockholders' equity = $442,600
Total assets = $640,000
Net sales = $480,000
Net income = $36,000
Profit margin ratio = Net income/Net Sales x 100
= $36,000/$480,000 x 100
= 7.5%
= 8%
Return on equity ratio = Net income/Shareholders' Equity x 100
= $36,000/$442,600 x 100
= 8.13%
= 8%
Asset turnover ratio = Net Sales/Total Assets
= $480,000/$640,000
= 0.75
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