One pair of parallel sides proves a quadrilateral to be a parallelogram
True
False
Answers
Related Questions
What plus what gets u √-100
Answers
Answer:
The square root of a negative number is an imaginary number. The square root of -100 is 10i where i is the imaginary unit. Therefore, there is no real number that can be added to another real number to get an imaginary number like 10i.
Step-by-step explanation:
Answer: The square root of a negative number is an imaginary number. The square root of -100 is 10i where i is the imaginary unit. Therefore, there is no real number that can be added to another real number to get an imaginary number like 10i.
How many numbers in the range 1000 - 9999 have no
repeated digits?
Answers
Answer:4536 numbers.
Step-by-step explanation:
Since 1 st digit cannot be zero the first digit can be anything from 1–9 ( total 9)
The second digit ( any 10- 1 above)
The third digit ( any 10–2 above)
The last digit ( any 10–3 above)
Total 9x9x8x7 =
4536
:)
pls help
1. what is the length of AB
2. what is the length of BC
3. what is the perimeter of this triangle
4. given A(2,4) and B(5,-4), what is the slope of a line that is parallel to AB
5. what is the slope of a line that is perpendicular to AB
Answers
Answer:
Step-by-step explanation:
Jim is buying some clothes at Kohls. He buys a jacket that costs $75 and 5 pairs of shorts that each cost the same amount. He spends a total of $175 on the shorts and jacket. Write and solve an equation to find the cost of each pair of shorts.
Answers
The equation to find the cost of each pair of shorts is 175 = 75 + 5x where each short cost $20
How to write and solve an equation?Cost of jackets= $75
Number of shorts= 5
Cost of each short = x
Total amount Jim spent= $175
Total amount Jim spent = Cost of jackets + (Number of shorts × Cost of each short)
175 = 75 + 5x
subtract 75 from both sides
175 - 75 = 5x
100 = 5x
divide both sides by 5
x = 100/5
x = $20
Ultimately, each pair of shorts cost $20
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Starting at home, Michael traveled uphill to the gift store for 25 minutes and just 10 mph. He then travel back home along the same path downhill at the speed of 30 mph.
What is his average speed for the entire trip from home to the gift store and back?
Answers
Answer:it took him 8 minutes on the return trip, for a round-trip time of 32 minutes. his average speed was (8mi/32min) (60min/hr)=15 mph for the whole trip
Step-by-step explanation:
Is this worded weird or is it just me?
Answers
Answer:
It does seem to be worded slightly off
Procter and Gamble (PG) paid an annual dividend of $2.95 in 2018. You expect PG to increase its dividends by 7.4% per year for the next five years (through 2023), and thereafter by 2.6% per year. If the appropriate equity cost of capital for Procter and Gamble is 8.6% per year, use the dividend-discount model to estimate its value per share at the end of 2018.
Answers
The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.
To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.
First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:
Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22
After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)
where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.
In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:
PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.
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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.
To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:
Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22
After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.
In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.
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halp ha;lp[ plsplpsapdk
Answers
Answer:
\(A^1\) = (-3, 10) \(B^1\) = (6, 8) \(C^1\) = (9,-2)
Step-by-step explanation:
Since you are moving vertically just add 4 to the y value
Choose the answer that makes the sentence true.
Answers
Answer:
I would answer but I don't know what the answers are...
Answer:
I cant see the answers, any way you can get it up?
Which geometric solids would model the tent?
cone and sphere
cylinder and cone
pyramid and rectangular prism
triangular prism and rectangular prism
Answers
someone help simplify it
Answers
Answer:
a+11b/3
Step-by-step explanation:
Answer:
3 and 2/3b + 1a
Step-by-step explanation:
Simplifying b:
4b - 1/3b = 11/3b = 3 and 2/3b
Simplifying a:
-5a + 6a = 1a
what is the probability that when a coin is flipped six times in a row, it lands heads up every time? (enter the value of probability in decimals. round the answer to three decimal places.)
Answers
The probability that the coin lands heads up six times in a row is 0.016
Probability is the term used in mathematics to understand how likely an event is to happen or can also be described as how likely it is that a proposition is true.
It can be determined by dividing the favorable outcomes or events by the total number of outcomes.
As the coin has two sides, the probability that when the coin lands, it lands heads up is determined as follows;
Probability = 1 / 2
Now the probability that the coin lands heads up six times in a row can be calculated as follows;
Probability = (1^6) / (2^6)
Probability = 1 / 64
Probability = 0.015625
Rounding it to three decimal places as follows;
Probability = 0.015625 = 0.016
Therefore, the probability that the coin lands heads up six times in a row is calculated to be 0.016
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Maura spends $5.50 in materials to make a scarf. She sells each scarf for 600% of the cost of materials.
Complete the sentence by selecting the correct word from the drop down choices.
Maria sells each scarf for Choose... ✓ or
Answers
The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.
How to calculate the selling price of each scarf?To calculate the amount of money that Maura spends on each scarf the following is carried out.
The amount of money that she spends on the scarf material = $5.50
The percentage selling price of each scarf = 600% of $5.50
That is ;
= 600/100 × 5.50/1
= 3300/100
= $33.
Therefore, each price that is sold by Maura would probably cost a total of $33.
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can someone explain how this is done?
Answers
Answer:
Just put in the values in the equation for example 4(1)-5<7 and solve it if the eqution is true at the end than that the right answer
Step-by-step explanation:
Answer:
x = 2
x < 2
x < 3
Step-by-step explanation:
2x + 5 = 9
Since there is an addition sign in front of 5, you must do the opposite: subtraction. Subtract 5 from 9.
9 - 5 = 4.
Lastly, divide the difference by the number in front of x (2).
2x = 4
4 ÷ 2 = 2
x = 2
--------------------------------------------------------------------------------------------------------------
2x + 5 < 9
Again, subtract 5 from 9.
9 - 5 = 4
Lastly, divide the difference by the number in front of the x (2).
2x = 4
4 ÷ 2 = 2
x < 2
--------------------------------------------------------------------------------------------------------------
4x - 5 < 7
Since there is a subtraction sign in front of the 5, you must do the opposite: addition. Add 5 to 7.
5 + 7 = 12
Lastly, divide the sum by the number in front of the x (4).
4x = 12.
12 ÷ 4 = 3
x < 3
How do you identify asymptotes?
Answers
Answer:
Step-by-step explanation:
To find the vertical asymptotes, set the denominator equal to zero and solve for x. This is already factored, so set each factor to zero and solve. Since the asymptotes are lines, they are written as equations of lines. The vertical asymptotes are x = 3 and x = 1.
Let F(x, y) = (9x + 5y)i + (2x – 7y?)j. Let D be the rectangle {(x, y)|0 < x < 2,0 Sy < 1} and let C be the boundary of D, oriented counterclockwise. (a) (4 points) Use Green's Theorem to compute the circulation f F. dr. Your solution should involve a double integral. (b) (2 points) Is F equal to V f for some function f? Use your work from part (a) to justify your answer. (c) (4 points) Use Green's Theorem to compute the flux f(F. n)ds where n denotes the outward-pointing unit normal vector. Your solution should involve a double integral. (d) (2 points) Is F equal to V x G for some vector field G? Use your work from part (C) to justify your answer.
Answers
The circulation of F around C is -16. No, F is not equal to V f for some function f. The flux of F across C is -8. No, F is not equal to V x G for any vector field G.
(a) The circulation of F around C is -16.
Using Green's Theorem, we can write the circulation of F as the line integral around the boundary of D:
∮CF · dr = ∬D (∂Q/∂x - ∂P/∂y) dA
where P = 9x + 5y, Q = 2x - 7y, and dr = dx i + dy j.
Taking the partial derivatives, we get:
∂Q/∂x - ∂P/∂y = 2 - 9 = -7.
Thus, the circulation of F around C is:
∮CF · dr = ∬D -7 dA = -7(area of D) = -16.
(b) No, F is not equal to V f for some function f.
If F were equal to the gradient of some scalar function f, then the circulation of F around any closed path would be zero. However, we just calculated that the circulation of F around C is -16, which means F cannot be expressed as the gradient of any scalar function.
(c) The flux of F across C is -8.
Using Green's Theorem, we can write the flux of F across C as the line integral around the boundary of D:
∮CF · ds = ∬D (∂P/∂x + ∂Q/∂y) dA
Taking the partial derivatives, we get:
∂P/∂x + ∂Q/∂y = 9 - 7 = 2.
Thus, the flux of F across C is:
∮CF · ds = ∬D 2 dA = 2(area of D) = -8.
(d) No, F is not equal to V x G for any vector field G.
If F were equal to the curl of some vector field G, then the flux of F across any closed surface would be zero. However, we just calculated that the flux of F across C is -8, which means F cannot be expressed as the curl of any vector field.
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If you deposit $10,000 into an account that pays 6.5% interest compounded semiannually, how much money will you have
after 7 years?
Answers
Answer:
PV = $10,000(1/1+6.5%^2x7) It is 7 years semiannually, which means 2 interest payments each year.
Step-by-step explain
Round it to the nearest $100
find this out by using
A=P(1+r/n)^ntnation:
hope this helps
Two players take turns removing a ball from a jar that initially contains m white and n black balls. The rst player to remove a white ball wins. Find the probability that the starting player wins.
Answers
½×½ which will be ¼
Step-by-step explanation:
because
Probability that the starting player wins:
\(P_{n} =\) m /n + m + n(n-1) /(n + m)(n+m -1) × \(P_{n-2}\)
Let us say that the probability that the first player wins is \(P_{n}\). Then this can be happen in two ways:
If the first player wins in the first move which has a probability: m /n + m
If the first player wins after the second move which has a probability :
n(n-1) /(n + m)(n+m -1) × \(P_{n-2}\)
Therefore by the law of probability,
\(P_{n} =\) m /n + m + n(n-1) /(n + m)(n+m -1) × \(P_{n-2}\)
This will allow us to find out the probability of first player winning the game recursively.
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what is 1+3+7+8+9+10+49 =
Answers
Answer:87
Step-by-step explanation:
:-)
Expand each logarithm.
log₇49 x y z
Answers
If the expression is log₇49 x y z, then the expansion of the expression is 2+log x/ log 7+log y/log 7 +log z/ log 7.
Given that expression is log₇49 x y z.
We are required to find the expanded value of the expression.
The change of base formula is basically used to re-write a logarithm operation as a fraction of logarithms with a new base.
The expression is log₇49 x y z.
log₇49xyz= (log 49+log x+log y+log z)/log 7
We know that log mn=log m+ log n.
=log \(7^{2}\)/ log 7+log x/log 7+log y/ log 7+ log z/log 7
=2 log 7/log 7+log x/log 7+log y/ log 7+ log z/log 7
=2+log x/log 7+log y/ log 7+ log z/log 7
Hence if the expression is log₇49xyz, then the expanded form is
2+log x/log 7+log y/ log 7+ log z/log 7.
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The long hand of the clock is about 5 inches long. How far does the end of the long hand of the clock travel in 2 1/2 hours?
Answers
The end of the long hand of the clock travels about 78.54 inches (25π) in 2 1/2 hours.
What is clock ?
Clock can be defined as a machine in which a device that performs regular movements in equal intervals of time is linked to a counting mechanism that records the number of movements
The long hand of the clock completes one full revolution in 12 hours. Therefore, in one hour, it travels a distance equal to the circumference of a circle with a radius of 5 inches, which is given by 2πr = 2π(5) = 10π inches.
In 2 1/2 hours, the long hand of the clock travels a distance equal to (2 1/2) x 10π = 25π inches.
So, the end of the long hand of the clock travels about 78.54 inches (25π) in 2 1/2 hours.
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8th GRADE MATH
Yesterday a local radio station played 91 songs prior to 10 am. The station played 9 songs per hour for the remainder of the day.
If a person listened to the radio station yesterday afternoon for x hours, which of the following equations can be used to find the number of songs the person listened to?
A. y= x+9
B. y= 9x+91
C. y= 9x
D. y= 91x+9
Answers
On a coordinate plane, a line goes through (negative 1, 1) and (0, negative 3). a point is at (negative 4, negative 3) and (0, negative 3). what is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4, −3)? y 3 = −4(x 4) y 3 = –one-fourth(x 4) y 3 = one-fourth(x 4) y 3 = 4(x 4)
Answers
The equation of the required line would be x - 4y = 8.
What is the slope-point form of the line?
Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).
A line goes through the point (-1, 1) and (0,-3)
so the slope of the given line would be:
\(m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{-3-1}{0-(-1)}\\\\m=-4\)
And we have to find the line which passes through the point (-4, -3) and the required line is perpendicular to the given line.
As we know the product of slopes of perpendicular lines is -1.
So the slope of the required line would be = 1/4
By using a slope-point form of the line, we get
\(y - y_1=m(x-x_1)\\\\y-(-3)=\frac{1}{4}(x-(-4))\\\\4(y+3)=x+4\\\\4y+12=x+4\\\\x-4y=8\)
Hence, the equation of the required line would be x - 4y = 8.
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Answer:
C
Step-by-step explanation:
What is the measure of
angle A' B'C?
8
40
B
6
A
Answers
Given the polynomial f(x)=x⁴+3x³-3x²-x, which of the following is true?
a) (x+1) is a factor since f(-1)=0.
b) (x-1) is a factor since f(-1)=0.
c) (x+1) is a factor since f(1)=0.
d) (x-1) is a factor since f(1)=0.
Answers
HELPPPPPPP! DUE TOMORROW
Answers
Answer:
Angle 1 = 63.3
Angle 2 = 37.3
Angle 3 = 63.3
Angle 4 = 142.7
Step-by-step explanation:
When a line intersects two parallel lines the interior angles are equal. So angle 2 = 37.3
Angle 3 = 180 - (79.4 + 37.3) = 63.3 since the sum of the angles on a straight line must be 180
Ange 1 = Angle 3 = 63.3
Angle 4 = 180-37.3 = 142.7
a zoo sponsored a one-day contest to name a new baby elephant. zoo visitors deposited entries in a special box between noon and 8 p.m. . the number of entries in the box t hours after noon is modeled by a differentiable function e for . values of , in hundreds of entries, at various times t are shown in the table above. (a) use the data in the table to approximate the rate, in hundreds of entries per hour, at which entries were being deposited at time . show the computations that lead to your answer. (b) use a trapezoidal sum with four subintervals given by the table to approximate the value of . using correct units, explain the meaning of in terms of the number of entries. (c) at 8 p.m., volunteers began to process the entries. they processed the entries at a rate modeled by the function p, where hundred of entries per hour for . according to the model, how many entries had not yet been processed by midnight ? (d) according to the model from part (c), at what time were the entries being processed most quickly? justify your answer?
Answers
(a) At 4pm, the rate is (130-70)/(4-2) = 30 entries/hour. (b) The trapezoidal sum approximates E(8) = 700 entries. (c) According to the model, 600 entries had not been processed by midnight. (d) The entries were being processed most quickly at 8pm, when p(8) = 60 entries/hour.
(a) At 4pm, the rate is (130-70)/(4-2) = 30 entries/hour.
(b) The trapezoidal sum is
E(8) = (50 + 70 + 110 + 130)/4 = 700/4
= 175.
E(8)=700 entries.
(c) According to the model, p(8) = 60 entries/hour. Since 8pm to midnight is 4 hours, the number of entries that had not been processed by midnight is 60*4 = 240 entries.
(d) The entries were being processed most quickly at 8pm, when p(8) = 60 entries/hour At 4pm, the rate of entry deposits was approximated by calculating the change in the number of entries over the change in the time, which was (130-70)/(4-2) = 30 entries/hour. Using a trapezoidal sum with four subintervals given by the table, E(8) was approximated to be 700 entries. According to the model, p(8) = 60 entries/hour, so the number of entries that had not been processed by midnight was 60*4 = 240 entries. The entries were being processed most quickly at 8pm, when p(8) = 60 entries/hour.
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HELP ME PLEASE!!!!! I NEED IT
Answers
Based on the information we can infer that the area of the figure is 464 ² units.
How to calculate the area of this figure?To calculate the area of this figure we must assume that it is a complete square and find its area as shown below:
basis = 24side = 2424 * 24 =576 units ²Now we must find the area of the non-grid regions and subtract them from the area we found previously:
4 * 12 = 48 units ²8 * 8 = 64 units ²64 + 48 = 112 units ²576 - 112 = 464 units ²
According to the above, the area of the figure is 464 units ²
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What is the y-intercept in the table of values
Answers
Answer:your mom
Step-by-step explanation:
cause i took it already
Name the following polynomial by degree and tell the leading coefficient.
−6x3
A
3rd degree; 6
B
1st degree; −6
C
3rd degree; −6
D
1st degree; 6
Answers
The leading term, the degree of the polynomial is −6x3 is 3rd degree and coefficient −6.
Option (C) is correct.
What is a polynomial ?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables .It is is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.
Given:
The given expression is
−6x3
We have to find the polynomial by degree and tell the leading coefficient.
According to given question we have
The leading term of a polynomial is the term with the highest degree.
The leading coefficient of a polynomial is the coefficient of the leading term.
The degree of a polynomial is the highest degree of its terms.
Hence, the leading term, the degree of the polynomial is −6x3 is 3rd degree and coefficient −6.
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