Divide the number of cubic feet that it can circulate by the number cubit feet per cubic yard. That gives the number of cubic yards that it can circulate. It can circulate about 10.37 cubic yards per minute.
The air conditioning system can be circulate in 15.92 cubic yards of air per minute.
Here,
An air conditioning system can circulate 430 cubic feet of air per minute.
We have to find the cubic yards of air which can be circulate in per minute.
What is the value of cubic yard in cubic feet?
1 cubic yard = [tex](3 ft)^3[/tex] = 27 cubic feet.
Now,
1 cubic yard = [tex](3 ft)^3[/tex] = 27 cubic feet.
Hence, Cubic yards of air circulate in per minute = 430/27 = 15.92
So, The air conditioning system can be circulate in 15.92 cubic yards of air per minute.
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Which category do both of these shapes belong to
Answer:
D. Parallelogram
Step-by-step explanation:
Answer:
The answer is Parallelgram(D)
two pairs of parallel sides in a quadrilateral
hope it helps...
Complete the expressions that would make them a perfect square trinomial.
a.
x² – 8x+
b. x2 + 20x +
C.
x² – 16x +
d. x2 + 9x +
Answer:
a) 16
b) 100
c) 64
d) [tex]\frac{81}{4}[/tex][/tex]
Step-by-step explanation:
Perfect square trinomial:
A perfect square trinomial has the following format:
[tex](x \pm a)^2 = x^2 \pm 2ax + a^2[/tex]
a.
x² – 8x
[tex]x^2 - 8x = x^2 - 2ax[/tex]
So 2a = 8, a = 4. Then
[tex]a^2 = 4^2 = 16[/tex]
The perfect square trinomial is [tex]x^2 - 8x + 16[/tex]
b. x2 + 20x +
2a = 20, so a = 10
[tex]a^2 = 10^2 = 100[/tex]
The perfect square trinomial is [tex]x^2 + 20x + 100[/tex]
C.
x² – 16x +
2a = -16, so a = -8.
[tex]a^2 = (-8)^2 = 64[/tex]
The perfect square trinomial is [tex]x^2 - 16x + 64[/tex]
d. x2 + 9x +
[tex]2a = 9[/tex], so [tex]a = \frac{9}{2}[/tex]
[tex]a^2 = (\frac{9}{2})^2 = \frac{81}{4}[/tex]
The perfect square trinomial is [tex]x^2 + 9x + \frac{81}{4}[/tex][/tex]
On a flight,
3/10
of the passengers were children. There were
60 children on the flight. How many passengers were on
the plane?
Answer:
There were 200 passengers on the plane.
Step-by-step explanation:
1. 3/10 of the passengers were children -> 30% of the passengers were children
2. 60 children on the flight 30% of passengers = 60 people
divide by 3 -> 10% of passengers = 20 people
multiply by 10 -> 100% of passengers = 200 people.
A can of juice has a radius of 4 inches and a height of 7 inches. What is the volume of the can?
Round your answer to the nearest tenths place.
Answer:
351.7
Step-by-step explanation:
Volume of a cylinder:
V = πr²h
V = 3.14(4²)(7)
V = 3.14(16)(7)
V = 50.24(7)
V = 351.68
Rounded to the nearest tenth:
351.7
In the diagram below, AB is parallel to CD. What is the value of y?
A. 45
B. 55
C. 135
D. 65
Answer:
A. 45
- as AB and CD are parallel to each other, the value of y will be equal to 45° in CD
The value of y in the given diagram is 45.
Option A is the correct answer.
What are corresponding angles?The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.
Corresponding angles are always equal.
We can also have alternate angles which are always equal.
We can also have alternate interior and exterior angles which are equal.
The angles on the same side make upto 180 degrees
We have,
Let the corresponding angle with y is m.
Now,
y = m
Now,
45 and m are opposite angles.
So,
m = 45
Now,
The corresponding angle with y is m.
This means,
y = m
y = 45
Thus,
The value of y is 45.
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which expression can you substitute for x in 5x+y=8 to solve the system below?
5x+y=8
x+4y=2
Answer:
x =30/19 and y =2/19
Step-by-step explanation:
5x + y = 8
x + 4y = 2
then
5x + y = 8
-5(x +4y =2)
5x + y = 8
-5x - 20y = - 10
0 +y - 20y = -2
- 19y = -2
y = 2/19 then
5x + 2/19 = 8
5x = 152-2/19
5x/5 =150/19 *1/5
x =30/19
22A + 14 help what is it
Answer:
B. 2(11A + 7)
Step-by-step explanation:
The common factor of 22 and 14 is 2
Can someone help please ASAP
Answer:
4
Step-by-step explanation:
2 · 4 = 8
8 + 4 = 12
the value of x is 4
what is 10 / 2 + (2x4) -3 ?
Answer:
10
Step-by-step explanation:
10 / 2 = 5
(2x4) = 8
(5 + 8) - 3
13 - 3
10
Answer:
10
Step-by-step explanation:
5+8-3=10
Finnhas$60inasavingsaccount.Theinterestrateis10%peryearandisnotcompounded.Howmuchinterestwillheearnin1year?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
I = $ 6.00
Step-by-step explanation:
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 10%/100 = 0.1 per year,
then, solving our equation
I = 60 × 0.1 × 1 = 6
I = $ 6.00
The simple interest accumulated
on a principal of $ 60.00
at a rate of 10% per year
for 1 years is $ 6.00.
Add 7 by g then divide 10 by the result write an expression
Answer:
7 = 1 = 21
Step-by-step explanation:
Answer:
10 / (7 + g)
Step-by-step explanation:
Please help meeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
h = 4.2 in
Volume = 3.6 cubic inches
[tex]\frac{1}{3}\pi r^{2}h = 3.6\\\\\frac{1}{3}*3.14*r^{2}*4.2 = 3.6\\\\r^{2}= \frac{3.6*3}{3.14*4.2}\\\\ = 0.81\\r=\sqrt{0.81}\\\\[/tex]
r = 0.9 in
Answer:
.... ..................
Find the following ratios. Write each answer as a fraction and as a decimal rounded to four decimal places.
Answer:
[tex]y = 56.6208[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find y
To find y, we make use of the relationship between sides lengths 44 & y and angle 39
The relationship is:
[tex]cos(39) = \frac{44}{y}[/tex]
i.e.
[tex]cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]
Make y the subject
[tex]y = \frac{44}{cos(39)}[/tex]
[tex]y = \frac{44}{0.7771}[/tex]
[tex]y = 56.6208[/tex] -- approximated
X 6.4.7-T
Question Help
Assume that females have pulse rates that are normally distributed with a mean of j = 74.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below.
a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 78 beats per minute.
The probability is
(Round to four decimal places as needed.)
Enter your answer in the answer box and then click Check Answer
2 parts
remaining
Let X be a random variable denoting pulse rates of females as described, with mean µ = 74.0 bpm and standard deviation σ = 12.5 bpm. Then
P(70 < X < 78) = P((70 - µ)/σ < (X - µ)/σ < (78 - µ)/σ)
… = P(-0.32 < Z < 0.32)
… = P(Z < 0.32) - P(Z < -0.32)
… ≈ 0.6255 - 0.3745
… ≈ 0.2510
where Z is normally distributed with mean 0 and s.d. 1.
• • •
Next, you sample 25 females from the population and want to find the probability that their average falls between 70 and 78 bpm. Let [tex]X_i[/tex] denote the pulse rate of the i-th woman from the sample, and let Y be the random variable for the sample mean; that is,
[tex]Y=\displaystyle\sum_{i=1}^{25}\frac{X_i}{25}[/tex]
Recall that a sample of size n taken from a normal distribution with mean µ and s.d. σ has a mean that is also normally distributed with mean µ and s.d. σ/√n.
The mean stays the same, µ = 74.0, but now the s.d. is σ/√n = σ/5 = 2.5. So we have
P(70 < Y < 78) = P((70 - µ)/(σ/5) < (Y - µ)/(σ/5) < (78 - µ)/(σ/5))
… = P(-1.6 < Z < 1.6)
… = P(Z < 1.6) - P(Z < -1.6)
… ≈ 0.9452 - 0.0548
… ≈ 0.8904
What is the volume of the following figure? (Round your answer to the
nearest tenth and leave it in terms of pi.)
Width= 18 m length=10 m
A 180mm
B. 3240mm
C. 810 m
D. 8171 m
how can I subtract 4/3 - 1/3
Answer:
1
Step-by-step explanation:
Since they have the same denominator, it would be:
[tex]\frac{4}{3}-\frac{1}{3}=\frac{4-1}{3} =\frac{3}{3}=1[/tex]
if an angle measures 18° what is the measure of its complement
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer.....
Complement Angle = 90°= 90 - 18
= 72
--> 72° is the complement angle of 18°
Hope it helps!
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You pick a card at random.
2 3 4 5
6 7 8 9
What is P(5)
Write your answer as a percentage.
Step-by-step explanation:
There are a total of 8 cards, you are picking only one card,
therefore P(5) =
[tex] \frac{1}{8} \times 100 \\ = \frac{100}{8} \\ = 12.5percent[/tex]
an artist is painting a mural on a wall to make sure that the picture is painted accurately to her vision she creates a grid for the wall with each unit measuring a meter in the mural at the second event at 2 to and the event at -2 for the artist plans to fail in the Triangular space between the three events with colored pattern what is the area of the space?
complete the conversion
7480 yd _ mi
The answer is 4.25 miles
Two investments totallng $47,500 produce an annual income of $3000. One investment ylelds 9% per year, while the other yields 6% per year. How much is invested at each rate?
Answer:
The correct answer is "$5000".
Step-by-step explanation:
The given values are:
Two investments totaling,
= $47,500
Annual income,
= $3000
One investment yields per year,
= 9%
Other yield,
= 6%
Let,
The amount invested in 9% will be "x".The amount invested in 6% will be "[tex]47,500-x[/tex]".Now,
⇒ [tex]0.09x+0.06(47,500-x)=3000[/tex]
⇒ [tex]0.09x+2850-0.06x=3000[/tex]
⇒ [tex]0.03x+2850=3000[/tex]
⇒ [tex]0.03x=150[/tex]
⇒ [tex]x=\frac{150}{0.03}[/tex]
⇒ [tex]x=5000[/tex]
HELP ME OUT PLEASE URGENT
The domain of y = f(x) = _ is
(a) R - {0}
(b) R
(c) (-2,1)
(d) (-1.1)
Answer:
The domain of a function is the set of all possible x values that satisfy the equation. We cannot answer this question without first knowing what the equation for f(x) is.
Step-by-step explanation:
Take for example the function y = f(x) = [tex]x^{2} +3[/tex]. Here, you can plug in literally any value for x and still get our a real number. Thus, the domain of f(x) is (-∞, ∞).
However, if your function is y = f(x) = [tex]\frac{2}{\sqrt{x+3} }[/tex] , not every x value is acceptable. First, we cannot have the denominator (bottom part) of the fraction be zero, because division by zero is undefined. Thus, x = -3 is not an acceptable value for x.
We also cannot take the square root of a negative number. Thus, we have the rule that x + 3 must be greater than or equal to zero.
[tex]x+3 > 0\\\\x > -3\\[/tex]
Normally we would use greater than or equal to zero, but because this is in the denominator, we don't want it to equal zero (and thus x = -3 is not acceptable).
So, the domain of x is (-3, ∞). The parenthesis tell us we do not include the negative three and we do not include infinity. In other words, the domain of x is all numbers greater than -3 but less than infinity.
So, first look at your equation for f(x), then see which values of x don't break the rules of math like division by zero or square roots of negative numbers. Good luck!
helppppppp will give BRAINLIEST!!!
Answer:
c
Step-by-step explanation:
range is the largest -the smallest
median is the line between 9 and 10
first quartile is on 6
I’m working on these as well! Hope this helps! Happy Friday! <3
Answer:
Should be the 3rd quartile.
Step-by-step
Because the first quartile ends at 10.5, because of the line, I believe, and 18 is past 11. So, it should be the 3rd quartile.
1. What number will make this expression a perfect square trinomial? Show your work. x2 - 6x +
Answer:
.......
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Take half of b (6/2=3)
Square it (3^2=9)
8a+11-2b for
a =4.b=2
Answer:
39
Step-by-step explanation:
8(4) + 11 -2(2)
32 + 11 - 4
43 - 4
39
Identify the terminal point for a 45° angle in a unit circle.
9514 1404 393
Answer:
(x, y) = ((√2)/2, (√2)/2))
Step-by-step explanation:
See the attached chart. The 45° angle can be found in the upper-right portion of the chart (1st quadrant).
Find the 70th term of the arithmetic sequence 29, 17, 5
Answer:
857
Step-by-step explanation:
70th term = a + d(n-1)
d= 29-17=12
a=29
n-1 = 69
70th term = 29 + 12×69
= 29 + 828
= 857
5. If the tree's circumference is 141.3ft, what is its diameter?
Answer:
d ≈ 45 ft
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Circumference of a Circle Formula: C = πdStep-by-step explanation:
Step 1: Define
Circumference C = 141.3 ft
Step 2: Solve for d
Substitute in C [Circumference Formula]: 141.3 ft = πdSubstitute in π (approximation): 141.3 ft ≈ 3.14d[Division Property of Equality] Divide both sides by 3.14: 45 ft ≈ dRewrite: d ≈ 45 ftPlease this is due in like 10 minutes please help me
Answer:
628
Step-by-step explanation:
1) Find the circumference of the wheel (the distance it travels in 1 revolution)
[tex]C=\pi d[/tex] where d is the diameter
Plug in 2 ft as the diameter
[tex]C=(3.14) (2)\\C=6.28[/tex]
Therefore, the circumference of the wheel is 6.28 ft.
2) Multiply the circumference by 100
6.28 × 100
= 628 ft
Therefore, Joe would travel 628 feet if his wheel turns exactly 100 complete revolutions in one direction.
I hope this helps!
