Answer:
81
Step-by-step explanation:
9 x 3 x 3 is 81
Answer:
18
Step-by-step explanation:
Area=3x3=9 units
9+9=18
What is the forecast for May using a five-month moving average?(Round answer to the nearest whole number.) Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
A. 43 B. 47 C. 52 D. 38 E. 39
The forecast for May using a five-month moving average is 39 (Option E).
Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.
According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
We have to add the sales of these five months, which gives:
27 + 40 + 42 + 41 + 47 = 197
To find the moving average for May, we divide this sum by 5:
197 / 5 = 39.4
Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.
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Mrs. Reid wrote the following problem on the whiteboard: Tom and Michele shared 1/4 pound of grapes equally. What fractional part of a pound did each person receive? Christina wrote the following equation to solve the problem: 2 ÷1/4 = n. Do you agree with Christina’s equation? Support your answer with a brief explanation.
Yes, I do.
You need to divide the number of people, by the number of grapes to get the total amount of grapes each person gets.
If f(x) = -2x + 3 and g(x) = 2x + 3; solve for f(3) + g(7)
Answer:
You just add the 2 equations together and fill in the 3 into the x where the f(x) equation is located and 7 into the x where the g(x) equation is located. I hope this helps. Have a great rest if your day!
Where is the zeros of the function?
Are both zeros meaningful and why?
At what height is the ball thrown?
Answer:
The zeros of the function are (-0.5,0) and (1,0), or at -0.5 and 1.
The zeros are important because that is when the ball is at the ground.
The ball is thrown at (0,8), or at 8 units up
Step-by-step explanation:
Bo is flying a kite, holding his hands a distance of 3.5 feet above the ground and
letting all the kite's string play out. He measures the angle of elevation from his hand
to the kite to be 29°. If the string from the kite to his hand is 110 feet long, how many
feet is the kite above the ground? Round your answer to the nearest tenth of a foot if
necessary.
The height of the kite will be 53.32 feet above the ground.
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
Given that:-
The boy is flying a kite, holding his hands a distance of 3.5 feet above the ground andletting all the kite's strings play out. He measures the angle of elevation from his hand to the kite to be 29°. If the string from the kite to his hand is 110 feet long, what is the total vertical height?The height of the kite above the ground will be calculated as:-
\(Sin\theta = \dfrac{perpendicular}{Hypotenuse}\)
\(Sin(29)=\dfrac{H}{110}\)
H = Sin(29) x 110
H = 53.32 feet
The hand of the boy is 3.5 above the ground so the total height H(t) of the kite above the ground will be:-
H(t) = 53.232 + 3.5
H(t) = 56.28 feet.
Therefore the height of the kite will be 53.32 feet above the ground.
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Answer:
Step-by-step explanation:
\text{What function uses the \color{green}{\textbf{O}PPOSITE} and the \color{#EB0000}{HYPOTENUSE}?}
What function uses the OPPOSITE and the HYPOTENUSE?
\text{\Large \underline{S}\color{green}{O}\color{#EB0000}{H}-CAH-TOA}
S
OH-CAH-TOA
\text{sin }\color{purple}{29}=\frac{\color{green}{\text{opposite}}}{\color{#EB0000}{\text{hypotenuse}}}=\frac{\color{green}{x}}{\color{#EB0000}{110}}
sin 29=
hypotenuse
opposite
=
110
x
\text{sin }29=
sin 29=
\,\,\frac{x}{110}
110
x
\frac{\text{sin }29}{1}=
1
sin 29
=
\,\,\frac{x}{110}
110
x
110\text{ sin }29=
110 sin 29=
\,\,x
x
Cross multiply.
x=53.329058...
x=53.329058...
Type into calculator.
\text{Add 3.5, the distance from the ground to his hand:}
Add 3.5, the distance from the ground to his hand:
53.329058...+3.5=
53.329058...+3.5=
\,\,56.829058...
56.829058...
\approx
≈
\,\,56.8
56.8
Round to the nearest tenth.
\text{The kite is 56.8 feet above the ground.}
The kite is 56.8 feet above the ground.
Select all of the equations below in which a is directly proportional to b.
a=b²
b
= 1/1/20
a=
2
a= ²
b
a=2b
a=b+2
The equations which show direct proportion between a and b are:
a=2b and a=b/2.
What is direct proportion?Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. It is represented by the proportional symbol, ∝. In fact, the same symbol is used to represent inversely proportional, the matter of the fact that the other quantity is inverted here.
Example: x and y are two quantities or variables which are linked with each other directly, then we can say x ∝ y. When we remove the proportionality symbol, the ratio of x and y becomes equal to a constant, such as x/y = C, where C is a constant.
Given, two variables a and b
If two variables a and b are in direct proportion
then,
a/b = constant.
1. a = b²
a/b = b
which is not constant
⇒ a is not in direct proportion with b.
2. a = 2b
a/b = 2
which is constant
⇒a is in direct proportion with b.
3. a = b/2
a/b = 1/2
which is constant
⇒ a is in direct proportion with b.
4. a=b+2
a/b = 1+2/b
which is not constant
⇒ a is not in direct proportion with b.
5. a = 2/b
ab = 2
⇒a is inversely proportional to b.
Hence, In equation a=2b and a=b/2, a is directly proportional to b.
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help with this slope
Answer:
20,100 I think
Step-by-step explanation:
Answer:
20/10
Step-by-step explanation:
goes up 20
goes to the right 10
can someone help me out
Answer:
its an INTEGER , a RATIONAL NUMBER and a REAL NUMBER
all are correct
hope it helps (✷‿✷)
What is the perimeter of a triangle? How can you find a triangle's perimeter?
Answer:
Perimeter of a triangle is the length that borders a triangle, you would just have to add all the side length's up
Step-by-step explanation:
Pls show your work to answer the question.
Answer:
∠ EDC = 55°
Step-by-step explanation:
Since Δ ADE is isosceles then the 2 base angles are congruent , then
∠ EDA = \(\frac{180-20}{2}\) = \(\frac{160}{2}\) = 80°
Similarly for Δ BCD
∠ CDB = \(\frac{180-90}{2}\) = \(\frac{90}{2}\) = 45°
The 3 angles on AB sum to 180° , that is
80° + ∠ EDC + 45° = 180°
∠ EDC + 125° = 180° ( subtract 125° from both sides )
∠ EDC = 55°
Slope rise over run (must be expressed as a fraction) send help plssssssSSS
Answer:
-1/2
Step-by-step explanation:
if you pick any two points on the line, you count how many units up and how many units across. you also have to put your answer in simplest form. the slope is a negative slope since its going downwards from left to right. your answer is -1/2
A triangle has angle measurements of 31°, 79°, and 70°. What kind of triangle is it?
Answer:
Scalene Triangle
Step-by-step explanation:
A triangle with 3 different angles is called a scalene triangle.
Answer:
Acute
Step-by-step explanation:
To determine the type of triangle with angle measurements of 31°, 79°, and 70°, we need to add the three angles together to see if the sum is 180°, which is the total angle measure for a triangle.
31° + 79° + 70° = 180°
Since the sum of the angles is 180°, this is a valid triangle. Now, we can determine the type of triangle by looking at the size of its angles:
An acute triangle has all angles less than 90°.
An obtuse triangle has one angle greater than 90°.
A right triangle has one angle that is exactly 90°.
In this case, all three angles are less than 90°, so this is an acute triangle.
2(t+5)+t=4
Solving linear equations
Answer:
t = -2
Step-by-step explanation:
To solve this equation, we can use algebraic techniques.
2(t + 5) + t = 4 Distribute the 2.
2t + 10 + t = 4 Combine like terms (variables).
3t + 10 = 4 Subtract 10 from both sides of the equation.
3t = -6 Divide by 3 on both sides of the equation.
t = -2
equation represents the distancetraveled against the wind?ProblemAt full speed, Hal travels 600 miles in 2 hourswith the wind. The same distance againstthe wind takes 3 hours.What's the maximum speed of Hal's airplanein still air? What's the speed of the wind?Click on the correct answer.3(x - y) = 6003(x + y) = 600x-speed of the airplane in still airy speed of the wind2(x - y) = 6002(x + y) = 60080888Ma
Take into account:
x = speed of the airplane
y = speed of the air
consider that the product in between time and speed is equal to the distance traveled in the time.
Then, if the airplane took 3 hours complete 600 miles, agaist the wind, you have that the distance traveled by the airplane is 3x without wind. The speed of the wind decelerates the airplane. The "distance traveled by the wind is 3y"
Then, when you subtract the previous terms you obtain:
3x - 3y = 600 factorize 3 left side
3(x - y) = 600
Suppose that you estimate that lohi corp. will skip its next three annual dividends, but then resume paying a dividend, with the first dividend paid to be equal to $1.00. if all subsequent dividends will grow at a constant rate of 6 percent per year and the required rate of return on lohi is 14 percent per year, what should be its price? a. $6.35 b. $8.44 c. $10.37 d. $12.50 continuing the previous problem, what is lohi's expected capital gains yield over the next year? a. 10.34% b. 11.85% c. 12.08% d. 14.00%
Lohi Corp.'s expected capital gains yield over the next year is 0.48%.
To determine the price of lohi corp., we need to calculate the present value of its future dividends. First, we estimate that the company will skip the next three annual dividends. This means that we will start receiving dividends from the fourth year. The first dividend to be paid is $1.00, and subsequent dividends will grow at a constant rate of 6 percent per year. The required rate of return on lohi corp. is 14 percent per year. This is the rate of return that investors expect to earn from investing in the company.
To calculate the price of Lohi Corp., we need to use the dividend discount model (DDM). The DDM formula is:
Price = Dividend / (Required rate of return - Dividend growth rate)
In this case, we know that Lohi Corp. will skip its next three annual dividends and then resume paying a dividend of $1.00. The dividend growth rate is 6% per year, and the required rate of return is 14% per year.
First, let's calculate the present value of the future dividends:
PV = (1 / (1 + Required rate of return))^1 + (1 / (1 + Required rate of return))^2 + (1 / (1 + Required rate of return))^3
PV = (1 / (1 + 0.14))^1 + (1 / (1 + 0.14))^2 + (1 / (1 + 0.14))^3
PV = 0.877 + 0.769 + 0.675
PV = 2.321
Next, let's calculate the price:
Price = (Dividend / (Required rate of return - Dividend growth rate)) + PV
Price = (1 / (0.14 - 0.06)) + 2.321
Price = (1 / 0.08) + 2.321
Price = 12.5
Therefore, the price of Lohi Corp. should be $12.50.
To calculate the expected capital gains yield over the next year, we need to use the formula:
Capital gains yield = (Dividend growth rate) / (Price)
Capital gins yield = 0.06 / 12.5
Capital gains yield = 0.0048
Convert to percentage:
Capital gains yield = 0.0048 * 100
Capital gains yield = 0.48%
Therefore, Lohi Corp.'s expected capital gains yield over the next year is 0.48%.
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Lohi Corp.'s expected capital gains yield over the next year is 0.48%.
To determine the price of lohi corp., we need to calculate the present value of its future dividends. First, we estimate that the company will skip the next three annual dividends. This means that we will start receiving dividends from the fourth year. The first dividend to be paid is $1.00, and subsequent dividends will grow at a constant rate of 6 percent per year. The required rate of return on lohi corp. is 14 percent per year. This is the rate of return that investors expect to earn from investing in the company.
To calculate the price of Lohi Corp., we need to use the dividend discount model (DDM). The DDM formula is:
\(Price = Dividend / (Required rate of return - Dividend growth rate)\)
In this case, we know that Lohi Corp. will skip its next three annual dividends and then resume paying a dividend of $1.00. The dividend growth rate is 6% per year, and the required rate of return is 14% per year.
First, let's calculate the present value of the future dividends:
\(PV = (1 / (1 + Required rate of return))^1 + (1 / (1 + Required rate of return))^2 + (1 / (1 + Required rate of return))^3\)
\(PV = (1 / (1 + 0.14))^1 + (1 / (1 + 0.14))^2 + (1 / (1 + 0.14))^3\)
\(PV = 0.877 + 0.769 + 0.675\)
PV = 2.321
Next, let's calculate the price:
\(Price = (Dividend / (Required rate of return - Dividend growth rate)) + PV\)
\(Price = (1 / (0.14 - 0.06)) + 2.321\)
Price = (1 / 0.08) + 2.321
Price = 12.5
Therefore, the price of Lohi Corp. should be $12.50.
To calculate the expected capital gains yield over the next year, we need to use the formula:
\(Capital gains yield = (Dividend growth rate) / (Price)\)
\(Capital gins yied = 0.06 / 12.5\)
Capital gains yield = 0.0048
Convert to percentage:
Capital gains yield = 0.0048 * 100
Capital gains yield = 0.48%
Therefore, Lohi Corp.'s expected capital gains yield over the next year is 0.48%.
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On the first 3 of 4 consecutive days, Gary delivered 78, 52, and 70 newspapers. How many newspapers did Gary deliver on the fourth day, if the average number of newspapers he delivered per day during the four-day period was 72?
A.
70
B.
72
C.
80
D.
88
E.
Given the number of newspapers Gary delivered on
the first three days, he cannot average exactly 72 per
day for the four-day period.
The five marathon runners weigh an average weight of 92 pounds, Nicole weighs 89 pounds, Jon weighs 95 pounds, Jenny and Kim weigh 90 pounds each, How much does Jordin weigh?
Answer:
Jordin weighs 96 pounds
Step-by-step explanation:
The Mean Value of a Data Set
The mean or average of a data set is found by adding all numbers and then dividing by the number of values in the set. Written as a formula:
\(\displaystyle \bar x=\frac{\sum x_i}{n}\)
Where xi is the value of each data and n is the total number of values.
We are given the average weight of n=5 marathon runners:
\(\bar x=92\)
Multiplying the formula by n and expanding the sum:
\(n\bar x=\sum x_i=x_1+x_2+x_3+x_4+x_5\)
We are given the weighs of four of the runners:
\(5*92=89+95+90+90+x_5\)
\(460=364+x_5\)
Solving for x5:
\(x_5 = 460-364=96\)
Jordin weighs 96 pounds
bill, 16 years old, is 4 times as old as lisa. how old will bill be when bill is twice as old as lisa?
The age of Bill when he is twice the age of Lisa would be = 8 years old.
How to calculate the age of Bill?The ages of the two individuals given in the question which are related to each other are listed below:
The recent age of Bill = 16 years
The recent age of Lisa = 16/4 = 4 years
When Bill is twice the age of Lisa which is 4 years, he will be = 4× 2 = 8 years old.
Therefore, Bill will be 8 years old which is exactly twice the age of Lisa.
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What is the name of the shaded angle
Answer:
That's an acute angle.......
wow i dont know. i hope you figure the answer
What is the solution ?
Answer:
C
Step-by-step explanation:
Which equation is equivalent to the given equation?
−4x = x² + 3
x² - 4x +3=0
x² - 4x - 3=0
x² + 4x - 3=0
x² + 4x +3=0
Answer: x² + 4x +3=0
Step-by-step explanation:
Add 4x to both sides.
out of 150 coins, 90 are quarters. of the remaining coins, 40% are nickels and the rest are dimes and pennies. there are 5 dimes for every penny. how many pennies are there?
There are 6 pennies in a total of 150 coins.
Given that,
Ninety of the 150 coins are quarters. 40 percent of the remaining coins are nickels, with the remainder being dimes and pennies.
and also,
For every penny, there are five dime.
Total = 150 coins
Out of it, 90 are quarters so the remaining coins are 60
It is said that,
In that 60 coins 40% are nickels which means
40% of 60 is 24
So remaining coins are 36 (by subtracting 24 from 60)
It is said that there are 5 dimes for every penny which means
Using Algebra,
x + 5x = 36
6x= 36
x= 6
Therefore, there are 6 pennies in a total of 150 coins.
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Which term refers to coordination, balance, and orientation in three-dimensional space?
Equilibrium is the term refers to coordination, balance, and balance in three dimensional space.
The equilibrium condition of an object exists when Newton's first law is valid. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.
There are three types of equilibrium: stable, unstable, and neutral.
Examples of equilibrium in everyday life:
A book kept on a table at rest. A car moving with a constant velocity. A chemical reaction where the rates of forward reaction and backward reaction are the same.
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Solve for e.
9e-7=7e-11
Step-by-step explanation:
9e-7=7e-11
9e-7e= -11+7
2e=4
2e÷2= 4÷2
e=2
e=-2
Step-by-step explanation:
9e-7=7e-11. 9e-7e=-11+7. 2e=-4. e=-2
PLS help me Order four and seven tenths repeating, negative four and eight ninths, 490%, and −4.9 from least to greatest.
−4.9, negative four and eight ninths, four and seven tenths repeating, 490%
negative four and eight ninths, −4.9, 490%, four and seven tenths repeating
490%, four and seven tenths repeating, −4.9, negative four and eight ninths
490%, four and seven tenths repeating, negative four and eight ninths, −4.9
The order from least to greatest negative four and seven tenths repeating, negative four and eight ninths, 490%, and −4.9 from least to greatest is; option A
−4.9, negative four and eight ninthsfour and seven tenths repeating490%,Ascending orderfour and seven tenths repeating
= 4.77777777
negative four and eight ninths
= -4 8/9
= -4.888888888888888
490%
= 490/100
= 4.9
−4.9
Rearranging from least to greatest (ascending order)
-4.9 -4.8888888888888884.777777774.9Learn more about ascending order;
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Answer:
a
Step-by-step explanation:
hopethishelps
An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per minute. Which equation can be used to find the volume, V, of the water in the pool m minutes after draining begins?
Answer:
V = 19200 - 12m
Step-by-step explanation:
The pool contains 19200 gallons of water.
Now we are told that water drains from the pool at the rate of 12 gallons per minutes.
Now, we want to find the volume, V, of the water in the pool, "m" minutes after draining begins.
Since water drains at 12 gallons per minutes, it means that after "m" minutes, the total amount that would have been drained is 12m gallons.
Thus, total volume V left after m minutes can be expressed as;
V = 19200 - 12m
Find the 8th term of the arithmetic sequence x + 1 x+1, 8 x − 3 8x−3, 15 x − 7 ,
Answer: 50x - 27
Step-by-step explanation:
To find the 8th term of the arithmetic sequence, we need to first find the common difference between consecutive terms:
Common difference (d) = second term - first term
d = (8x - 3) - (x + 1)
d = 7x - 4
Now, we can use the formula to find the nth term of an arithmetic sequence:
an = a1 + (n - 1)d
where a1 is the first term, d is the common difference, and n is the term number we want to find.
Plugging in the values, we get:
a8 = (x + 1) + (8 - 1)(7x - 4)
a8 = x + 1 + 7(7x - 4)
a8 = x + 1 + 49x - 28
a8 = 50x - 27
Therefore, the 8th term of the arithmetic sequence x + 1, 8x - 3, 15x - 7 is 50x - 27.
What percent of 80 is 32? Enter your answer in the box.
Answer: 40
Step-by-step explanation:
80 = 100%
40 = 50%
8 = 5%
5% x 4 = 20
8 x 4 = 32
32 = 20%
Given the following formula, solve for t.
Option A is the correct answer which is t=(v-u)/a
v= u+ at
This equation defines the behaviour of a physical scheme in order of its movement as a function of time in Newtonian mechanics
where:
v= final velocity
u= initial velocity
t= time
a= acceleration
Now from the following equation
v-u=at(rearrange the term)
t=(v-u)/a [ Option A ]For more information on the equation of motion
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Which is greater: 10 centimeters or 103 millimeters? How much greater?
PLEASE HELP
Answer:
Step-by-step explanation:
103 millimeters because 10 mm= 1 cm, so 100 mm is the same as 10 cm and 3 more mm makes it more