The volume of the prism with length as 9 feet will be 9 w h where w is the width and h is the height of the prism.
We are given a prism.
It is a rectangular prism.
We are also given that it if 9 feet.
We need to find the volume of this rectangular prism.
V = w × h × l
where
w = width of the prism
h = height of the prism
l = length of the prism
Now, we are given that l = 9 feet
So, V = w × h × l
V = 9 w h
Therefore, we get that the volume of the prism with length as 9 feet will be 9 w h where w is the width and h is the height of the prism.
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36 hundredths divided by 9 tenths
Answer: The answer would be 0.4 or 4/10
Step-by-step explanation:
dividing decimals
0.745/ 9.089
Answer:
0.745/9.089
Multiply numerator and denominator by 1000
=745/9089
Help asap! and don't answer for the points only if you know for sure it's right
Answer:
Child ticket: 12 dollars
Total price: 64 dollars
Step-by-step explanation(Child ticket price):
[tex]T = X(1 - P\%)\\T = 20(1 - 40\%)\\T = 20(1 - 0.4)\\T = 20(0.6)\\T = 12[/tex]
-----------------------------------------------------------------------------------------------------------
Step-by-step explanation(Total price):
[tex]T(12) * 2 + (20.00 * 2) = \$64[/tex]
Hope this helps.
Which classification of the real number system describes all of the following numbers listed below? 0.5, −13, 0.62, 3.14, 19%
Rational Numbers
Whole Numbers
Irrational Numbers
Integers
The numbers 0.5, 0.62, 3.14, 19% are rational numbers, while -13 is an integer
How to determine the classification of the real numbers?The numbers are given as:
0.5, −13, 0.62, 3.14, 19%
Numbers that can be represented as a fraction of two integers are rational numbers
The given numbers can be represented as a fraction of two integers
i.e.
0.5 = 5/10
0.62 = 62/100
3.14 = 314/100
19% = 19/100
This means that 0.5, 0.62, 3.14, 19% are rational numbers, while -13 is an integer (because it has no decimal point and it is negative)
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Student Name: davidmontague
Distributive Property Using Area
You have just used the distributive property to write these products as a sum. If drawing rectangles
helps you, feel free to use that visual aid to rewrite the following expressions as a sum. 2 points each
5
14. 8(y + 2)
16. a(a + 3)
18. 2m(m + 4)
13. 5(m-2);
15.-3(m + 4)
17. h(h-2).
19.-2(z-8)
20. -4x(x - 10)
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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You are working on a banner for Friday’s pep
rally. The length of the banner is 6 times the
width. The length is 18 feet.
l
GO WILDCATS! w
What is the width?
Answer in units of feet.
The width of the banner of the Friday’s pep rally is 3 feet.
How do you find the percentage of number?To calculate a percentage, divide the value by total value and multiply the result by 100. (value/total value)100% is the formula for calculating percentage.
Calculating a percentage means determining a portion of a whole in terms of 100. A percentage can be calculated in two ways:
The unitary method is used.By changing the fraction's denominator to 100.For the given expression;
The length of the Friday’s pep rally banner is 18 feet.
Let the width be 'b'.
The given condition is;
The length of the banner is made 6 times the width.
Then,
6 time the width = length
6×w = 18
w = 18/6
w = 3
Therefore, the width of the banner is found as 3 feet.
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Solve the following equation. 3x/7 -2 = 15Then place the correct number in the box provided.
Answer:
[tex]{ \tt{ \frac{3x}{7} - 2 = 15 }} \\ \\ { \tt{3x - (2 \times 7) = (15 \times 7)}} \\ { \tt{3x - 14 = 105}} \\ { \tt{3x = 119}} \\ { \tt{x = 39.67}} \\ { \tt{ 39\frac{2}{3}}}[/tex]
Answer:
[tex] \sf \large \: x = \frac{119}{3} [/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
3x/7−2=15
Step 1: Simplify both sides of the equation.
3x/7−2=15
3/7x+−2=15
3/7x−2=15
Step 2: Add 2 to both sides.
3/7x−2+2=15+2
3/7x=17
Step 3: Multiply both sides by 7/3.
(7/3)*(3/7x)=(7/3)*(17)
x=119/3
in order to construct the perpendicular bisector of ab which statement describes the compass settings and the number of arc intersections needed
Answer:
The compass is placed at point a and point b, then two arcs are drawn respectively.
A line is drawn from the arcs passing through element being bisected.
[tex]{}[/tex]
4) Mary had some candy to give to her five
children. She first took seven pieces for
herself and then evenly divided the rest
among her children. Each child received
four pieces. With how many pieces did
she start?
Answer: 27 4 peices for 5 children
Step-by-step explanation: 4 peices for 5 children 4×5=20 then she ate 7 so 20 plus 7 is 27
Full equation 4×5+7=27
I need help 3(1+3)*x(4+3)
The height of a clocktower is 44 meters. Max, who is standing near the clocktower, casts a 7 meter shadow and is 2 meters tall. How long is the shadow of the clocktower? Round your answer to the nearest tenth, if necessary
Answer:
the answer is 220 i calculated
How do I solve this?
I need help to solve this! Thank you
Answer:
f(2) = 3
Step-by-step explanation:
You want the value of f(2), given the graph of f(x).
Function valueThe value of the function for a given argument is found by locating the point on the graph with an x-coordinate equal to the argument. The y-coordinate of that point is the function value.
See the attachment.
The y-coordinate associated with the point that has an x-value of 2 is 3.
f(2) = 3
18. Callie's cat lost 4 1/2pounds before having
surgery. Two weeks after having surgery, her cat gained 2 7/8pounds. What was the total
change in weight of Callie's cat?
The total change in the weight of Callie's cat will be 1 5/8 pounds.
How to calculate the fraction?It should be noted that weight is a measurement of the force an acceleration field, particularly the gravitational field of the Earth near the surface, exerts on a particle or object.
From the information that was given, it should be noted that Callie's cat lost 4 1/2 pounds before having surgery and two weeks after having surgery, her cat gained 2 7/8 pounds.
Therefore, based on the information that was illustrated, it should be noted that the change in weight will be the difference between the weights given.
The change in weight will be:
= 4 1/2 pounds - 2 7/8 pounds
= 4 4/8 - 2 7/8 pounds.
= 1 5/8 pounds
Therefore, the change in weight of Callie's cat will be 1 5/8 pounds.
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there are 25 boxes of paper, each box has 789 pieces of paper. how many pieces of paper are there in all?
25 times 789 is 19725
the answer:19,725
Convert the given measurement to the unit indicated
using the table to the right.
0.13 m³ to kg
Converting the given measurement 0.13m^3 into kg using the given table. We get the answer as 130 kg.
Measurement of 0.13m^3 to be converted to kg using the table.
To convert cubic meters to kilograms, multiply the value in cubic meters by the density of the ingredient and then multiply the result by 1000.
You can use the conversion formula :
kilograms = cubic meters × density of the ingredient × 1000
According to the table given 1 m^3 = 1 KL = 1000 kg
Here, we are given 0.13m^3,
which means it equals = 0.13 KL
and hence it equals 0.13 * 1000 = 130kg
So, 0.13m^3 = 130 kg.
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A model rocket is launched with an initial upward velocity of 126. The rocket's height (in feet) after seconds is given by the following. Find all values of for which the rocket's height is 50 feet.
At time t = 0.4191 and t = 7.456, rocket was at the height of 50 feet;
Given equation; h = 126t - 16t²;
when rocket's height is 50 feet;
126t - 16t² = 50
16t² - 126t + 50 = 0
Using quadratic formula;
t = {126 ±√(-126)² - (4)(16)(50)}/2(16)
After solving; t =0.4191 and t = 7.456
Therefore, at time t = 0.4191 and t = 7.456, rocket was at the height of 50 feet;
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5. Writing Write and solve a two-step
word problem that can be solved using
multiplication as one step.
Answer:
50!!
Step-by-step explanation:
The teacher buys enough pencils for 10 of her students. She gives each student 5 pencils. How many pencils did she give away altogether?
10 x 5 = 50
Answer:
write any one positive aspect of your religion
HELP ASAP
Write 8,350,000,000 in scientific notation.
8.35 × 10−9
8.35 × 109
835 × 10−7
835 × 107
[tex]8.35 \times {10}^{9} [/tex]
or
[tex]835 \times {10}^{7} [/tex]
Simplify (34)−1. I need to know this plsssss
Answer:
Step-by-step explanation:
Suppose there is a 1.1 degree drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature o the ground is 59.7 degrees F, what will be the temperature at an altitude of 11,000 ft?
The temperature at an altitude of 11,000 ft is found to be 47.6 Degree Fahrenheit.
What is defined as the temperature?Temperature is a measure of how hot or cold something is demonstrated in terms of one of several scales, such as Fahrenheit and Celsius. Temperature signifies the direction wherein heat energy will instantaneously flow—that is, from a hotter (higher) body to a colder body (at a lower temperature).The plane is at ground level, with a temperature of 59.7 degrees Fahrenheit. The temperature drops by 1.1 degrees Fahrenheit for every 1,000 feet.
Initial Temp = 59.7 Fahrenheit
Distance Covered = 11,000 Ft
As the plane stands there, the ground level is zero feet.
Later, it soars into the sky at 11,000 feet.
= 11×1,000
Temperature drops by 1.1 degrees Fahrenheit for every 1,000.
As a result, at 11,000 feet, the temperature will drop 11 times,
= 11×1.1
or 12.1 degrees.
Therefore, at 11,000 feet, the temperature will be Fahrenheit,
= 59.7 - 12.1
= 47.6 degree Fahrenheit
Thus, the temperature at an altitude of 11,000 ft is computed as 47.6 degree Fahrenheit.
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please answer this question
let x be the real part of z
let y be the imaginary part of z
[tex]arg(x +i y - 1) = arg(x + iy + 3i) \\ arg(x - 1 + iy) = arg(x + (y + 3)i) \\ arctan( \frac{y}{x - 1} ) = arctan( \frac{y + 3}{x} ) \\ arctan( \frac{ (\frac{y}{x - 1} ) - ( \frac{y + 3}{x}) }{1 +( \frac{y}{x - 1} )( \frac{y + 3}{x} )} ) = 0 \\ arctan( \frac{ \frac{xy - (x - 1)(y + 3)}{x(x - 1)} }{ \frac{x(x - 1) + y(y + 3)}{x(x - 1)} } ) = 0[/tex]
[tex]arctan( \frac{xy - xy - 3x + y + 3}{x {}^{2} - x + y {}^{2} + 3y } ) = 0 \\ \frac{ - 3x + y + 3}{x {}^{2} - x + y {}^{2} + 3y} = tan(0) = 0 \\ - 3x + y + 3 = 0 \\ y = 3x - 3[/tex]
[tex] \frac{x - 1}{y} = \frac{x - 1}{3x - 3} = \frac{x - 1}{3(x - 1)} = \frac{1}{3} \\ [/tex]
Answer:
[tex]\dfrac{x-1}{y}=\dfrac{1}{3}[/tex]
Step-by-step explanation:
Sums of real and imaginary numbers are known as complex numbers:
[tex]\large\boxed{z = x + iy}[/tex]
(where x is the real number and iy is the imaginary number).
Complex numbers can be represented on an Argand diagram.
The x-axis is the real axis.The y-axis is the imaginary axis.z = x + iy is represented on the diagram by the point P(x, y).
[tex]\textsf{Argument of a complex number $= \boxed{\arg z}$}[/tex]
It is the angle between the positive real axis and the line joining that number to the origin on an Argand diagram, measured in an anticlockwise direction.
[tex]\textsf{For \;$z = x + iy$, \;the argument $\theta$ satisfies\; $\tan \theta = \dfrac{y}{x}$.}[/tex]
[tex]\textsf{Given: \quad $\arg (z-1)=\arg(z+3i)$}[/tex]
[tex]\textsf{If $z$ is a complex number then $z = x + iy$}.[/tex]
[tex]\textsf{Substitute this into the given equation}:[/tex]
[tex]\begin{aligned} \arg(z-1)&=\arg(z+3i)\\\implies \arg(x + iy - 1) &= \arg(x + iy + 3i)\\\implies \arg((x - 1) + iy) &= \arg(x + i(y + 3))\end{aligned}[/tex]
[tex]\textsf{If the argument $\theta$ satisfies\; $\tan \theta = \dfrac{y}{x} \implies \theta=\tan^{-1}\left(\dfrac{y}{x}\right)$}:[/tex]
[tex]\implies \tan^{-1}\left(\dfrac{y}{x-1}\right)=\tan^{-1}\left(\dfrac{y+3}{x}\right)[/tex]
[tex]\implies \tan^{-1}\left(\dfrac{y}{x-1}\right)-\tan^{-1}\left(\dfrac{y+3}{x}\right)=0[/tex]
[tex]\boxed{\begin{minipage}{6.2cm}\underline{Trigonometric identity}\\\\ $\tan^{-1}(a)-\tan^{-1}(b)=\tan^{-1}\left(\dfrac{a-b}{1+ab}\right)$\\ \end{minipage}}[/tex]
Use the arctan identity:
[tex]\implies \tan^{-1}\left(\dfrac{\dfrac{y}{x-1}-\dfrac{y+3}{x}}{1+\left(\dfrac{y}{x-1}\right)\left(\dfrac{y+3}{x}\right)} \right)=0[/tex]
[tex]\implies \tan^{-1}\left(\dfrac{\dfrac{xy-(y+3)(x-1)}{x(x-1)}}{1+\dfrac{y(y+3)}{x(x-1)}} \right)=0[/tex]
[tex]\implies \tan^{-1}\left(\dfrac{\dfrac{xy-(y+3)(x-1)}{x(x-1)}}{\dfrac{x(x-1)+y(y+3)}{x(x-1)}} \right)=0[/tex]
[tex]\implies \tan^{-1}\left({\dfrac{xy-(y+3)(x-1)}{x(x-1)+y(y+3)} \right)=0[/tex]
[tex]\implies \tan^{-1}\left({\dfrac{xy-xy+y-3x+3}{x^2-x+y^2+3y} \right)=0[/tex]
[tex]\implies \tan^{-1}\left({\dfrac{y-3x+3}{x^2-x+y^2+3y} \right)=0[/tex]
[tex]\implies \dfrac{y-3x+3}{x^2-x+y^2+3y}=\tan(0)[/tex]
[tex]\implies \dfrac{y-3x+3}{x^2-x+y^2+3y}=0[/tex]
[tex]\implies y-3x+3=0[/tex]
[tex]\implies y=3x-3[/tex]
[tex]\textsf{Substitute\;\; $y=3x-3$ \;\;into \;\;$\dfrac{x-1}{y}$}:[/tex]
[tex]\begin{aligned}\implies \dfrac{x-1}{y}& =\dfrac{x-1}{3x-3}\\\\ & =\dfrac{x-1}{3(x-1)}\\\\ & =\dfrac{1}{3}\end{aligned}[/tex]
[tex]\textsf{Therefore, the value of\; $\dfrac{x-1}{y}$\; is\; $\dfrac{1}{3}$}.[/tex]
A number is divided by four, and then the quotient is added to seventeen. The result is 25. Find the number. Write and solve the equation
Answer:
32
Step-by-step explanation:
32 divided by 4 is 8
8 + 17 = 25
There's your answer!
Answer:16
Step-by-step explanation:First you would have to subtract 17 from 25 and you'd get 8. Then you multiply 8 by 4 and you'll get 16 as your answer.
Neuer started a systematic investment program by buying $200.00 with of mutual funds on the first day of every month starting on February 1. When you purchase mutual funds, you purchase units in the fund. Neuer purchased as many units as he could with his $200.00, including fractions of units. Unit prices for the first six months were $10.00, $10.60, $11.25, $9.50, $9.20 and $12.15 respectively.
(a) What is the simple average of the unit prices?
(b) What is the total number of units purchased during the first six months (Correct to three decimals)?
(c) What is the average cost of the units purchased?
(d) What is the value of Neuer's mutual fund holdings on July 31 if the unit price on that date is $11.90?
a) The simple average of the unit prices is $10.45.
b) The total number of units purchased during the first six months is 115.898 units.
c) The average cost of the units purchased is $10.35.
d) The value of Neuer's mutual fund holdings on July 31, if the unit price on that date is $11.90, is $1,379.19.
What is an average?An average refers to the mean of a data set.
The average is computed as the total value divided by the number of values in the data set.
Data and Calculations:Month Unit Price Total Value Units
February $10.00 $200 20.000
March 10.60 200 18.868
April 11.25 200 17.778
May 9.50 200 21.052
June 9.20 200 21.739
July 12.15 200 16.461
Total prices $62.70 $1,200 115.898
Simple Average = $10.45 ($62.70/6)
The average cost of the purchased units = $10.354 ($1,200/115.898)
Thus, the value of Neuer's mutual fund holdings on July 31, if the unit price on that date is $11.90, is $1,379.19 (115.898 x $11.90).
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How far away is Akis house from the pizza place?
The points Q, R, S and T all lie on the same line segment, in that order, such that the
ratio of QR RS: ST is equal to 6:3:1. If QT = 10, find RS.
The RS line segment will be 16 units long.
What exactly are collinear points?An axis is a line on which points are located, especially if that line is connected to a triangle or other geometric shape. Because a line is determined by two factors, two points are transparently collinear. If the points are in a straight line, they are collinear points.The collinear points are Q, R, S, and T.
The collinear's condition will then be determined:
QR + RS + ST = QTThe points Q, R, S, and T all lie on the same line segment in that order, so the QR:RS:ST ratio is 1:4:5. If QT = 40.
Let QR / 1 = RS / 4 = ST / 5 = xQR = xRS = 4xST = 5xThe value of the variable x will then be:
QR + RS + ST = QTx + 4x + 5x = 4010x = 40x = 4The length of the line segment RS will then become:
RS = 4xRS = 4 (4)RS = 16Therefore, the RS line segment will be 16 units long.
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The correct question is given below:
The points Q, R, S, and T all lie on the same line segment, in that order, such that the
ratio of QR:RS: ST is equal to 1:4:5. If QT = 40, find RS.
A cement mixture calls for 3 pounds of cement for 3 gallons of water. What is the ratio of water to cement? Enter only the missing number.
Based on the calculations, the ratio of water to cement (W:C) is equal to 1:1.
What is a ratio?A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
What is a proportion?A proportion can be defined as an expression which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
Given the following data:
Quantity of cement = 3 pounds.Quantity of water = 3 gallons.Substituting the given parameters into the formula, we have;
Therefore, the ratio of water to cement is given by:
Ratio of water to cement, W:C = 3:3
Ratio of water to cement, W:C = 1:1.
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What is the smallest possible common factor between 2 numbers? When would that number also be the GCF? When would the lesser of 2 numbers also be the GCF of those 2 numbers?
Answer:
1
Step-by-step explanation:
What is the smallest possible common factor between 2 numbers? When would that number also be the GCF? When would the lesser of 2 numbers also be the GCF of those 2 numbers?
Leah wants to divide x by -5/12. What number should she multiply by x to find the answer?
Considering the algorithm to divide a number by a fraction, she must multiply x by -12/5 to find the answer of the division of x by -5/12.
What is the algorithm to divide a number by a fraction?To divide a number, or even another fraction, by a fraction, we need to multiply the numerator by the inverse of the denominator.
Taking the following division of fractions as an example, we have that:
(a/b)/(c/d).
The numerator is given by a/b.The denominator is given by c/d.The inverse of the denominator is d/c. (to find the inverse of a fraction, we exchange the numerator by the denominator).Hence the quotient is:
a/b x d/c.
For this problem, the division is:
x/(-5/12).
Hence:
The numerator is given by x.The denominator is given by -5/12.The inverse of the denominator is -12/5.Thus the quotient is given by:
-12x/5.
Meaning that she must multiply x by -12/5 to find the answer of the division of x by -5/12.
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a travel agent arranges a payment plan for a client it required a down payment of 250 and 15 monthly payment of 582 what was the the total cost if the plan
Answer:
Step-by-step explanation:
it is Payment: Uniform Payment Series: (F/P, i, ∞) = ∞. (A/F, i, ∞) = 0.