Step-by-step explanation:
It is given that, an air conditioning system can circulate 320 cubic feet of air per minute. We need to find how many cubic yards of air can it circulate per minute?
1 yard = 3 foot
1 feet = (1/3) yard
320 feet = 106.66 yard
[tex]320\ \text{feet}^3=320\times( \dfrac{1}{3})^3\ \text{yard}^3\\\\=11.85\ \text{yard}^3[/tex]
So, it will circulate 11.85 cubic yard of air per minute.
Point C is the midpoint of a segment AB . What are the coordinates of point B, if: A(–1, 3), C( 1, –1)
Answer:
(3,-5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates together and divide by 2
The x coordinate is
(x1+x2)/2
We know one point and the midpoint
( -1+x)/2 = 1
Multiply by 2
-1 +x = 2
Add 1
x =2+1
x=3
To find the y coordinate of the midpoint, add the y coordinates together and divide by 2
The y coordinate is
(y1+y2)/2
We know one point and the midpoint
(3+y)/2 = -1
Multiply by 2
3+y = -2
Subtract 3
y = -2-3
y =-5
The other endpoint is (3,-5)
Answer:
B(3, -5)
Step-by-step explantion
We know that these formulas can be used to find the mid point between 2 points on a graph
[tex]\frac{a_{1} +b_{1}}{2}= c_{1}\\ \frac{a_{2} +b_{2}}{2} =c_{2}[/tex]
Now we plot these points in
A(-1, 3), C(1, -1)
[tex]\frac{-1+b_{1}}{2} =1 \\\frac{3+b_{2}}{2} =1[/tex]
And we can find that
[tex]b_{1}= 3\\b_{2}=-5[/tex]
Therefore we get the answer of (3, -5)
Hope that helped you with your problem!! :)
Write the equation of a line with a slope of 3 and passing through the point (-5, -7).
Show steps please
Answer:
y = 3x +8
Step-by-step explanation:
[tex](-5 ,-7)=(x_1,y_1) \\m = 3\\[/tex]
Plug in values into point-slope form
[tex]y -y_1 =m(x-x_1)\\y - (-7) = 3(x - (-5))\\y +7 =3(x+5)\\y+7 =3x+15\\y = 3x +15-7\\y = 3x +8[/tex]
write 7*7*7 in standard form
Answer:
Step-by-step explanation:
343
Answer:
7^3
Step-by-step explanation:
7 to the power of 3. Because there are 3, 7's so you are multiplying 7 3 times
PLEASE HELP AS QUICKLY AS POSSIBLE THANK YOU :)
Answer:
106
Step-by-step explanation:
The area of one of the triangles is 1/2*5*3
The area is 7.5, but there are 2 triangles so the combined area is 15
The area for whole rectangle is 7*(5+3+5)=7*13=91
So the total area is 91+15= 106
What is the correct reason for statement 3?
whats 5 less than 1 third
Answer:
-0.66666666666
Step-by-step explanation:
1/3-5/5
Which operation would be completed second in the following expression?
33 + 11-10-2x4
simplify the exponent
add
divide
multiply
Answer:
I THINK IT WILL BE HELPFUL
Express (-3 - i) - (5 + 3i) in the form of a + ib.
Answer:
Step-by-step explanation:
=-3-i-5-3i
=-8-4i
Evaluate the expression (7+6i)−(−9−8i) and write the result in the form a+bi.
Remove the parentheses and combine the like terms:
7 - -9 = 7+ 9 = 16
6i - -8i = 6i +8i = 14i
The answer is 16 + 14i
Point P is on line segment OQ. Given OP = 14 and OQ = 16, determine the
length PQ
Answer:
PQ = 2
Step-by-step explanation:
We know that OQ = OP + PQ. Since OQ = 16 and OP = 14, we know that 16 = 14 + PQ, therefore, PQ = 2.
According to a recent pol, 29 % of adults in a certain area have high levels of cholesterol. They report that such elevated levels "could be financially devastating to the regions healthcare system" and are a major concern to health insurance providers. Assume the standard deviation from the recent studies is accurate and known. According to recent studies, cholesterol levels in healthy adults from the area average about 205 mg/dL, with a standard deviation of about 25 mg/dL, and are roughly Normally distributed. If the cholesterol levels of a sample of40 healthy adults from the region is taken,What is the probability that the mean cholesterol level of the sample will be between 200 and 210
Answer:
Step-by-step explanation:
The mean value μ = 205 , standard deviation of population σ = 25
no of people n = 40
standard deviation of sample of 40 people = σ / √n
σ₁ = 25 / √ 40 = 3.95
probability between 200 and 205
P ( 200 < X < 205 ) = P ( Z= (210 - 205) / 3.95 - P ( Z= (200 - 205) / 3.95
= P ( Z = + 1.26 ) - P ( - 1.26 )
= .8962 - .1038
= .7924
Probability is 79.24 % .
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (XY) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y)
midpoint (5. - 12), endpoint (4-7)
The other endpoint is
(Type an ordered pair)
Answer:
(6, -17)
Step-by-step explanation:
Given the coordinate of a midpoint, (5, -12), and one endpoint, (4, -7), the other endpoint can be determined as follows:
The midpoint formula is given as [tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex].
Since we are given ordered pairs of the midpoint and one endpoint, we would find the other ordered pair of the endpoint as shown below.
Let the other endpoint be [tex] (x_1, y_1) [/tex]
Midpoint = M(5, -12)
Let the given endpoint = [tex] (4, -7) = (x_2, y_2) [/tex]
Thus:
[tex] M(5, -12) = (\frac{x_1 + 4}{2}, \frac{y_1 +(-7)}{2}) [/tex]
Rewrite the equation to find the coordinates of the other endpoints
[tex] 5 = \frac{x_1 + 4}{2} [/tex] and [tex] -12 = \frac{y_1 - 7}{2} [/tex]
Solve for each:
[tex] 5 = \frac{x_1 + 4}{2} [/tex]
[tex] 5*2 = \frac{x_1 + 4}{2}*2 [/tex]
[tex] 10 = x_1 + 4 [/tex]
[tex] 10 - 4 = x_1 + 4 - 4 [/tex]
[tex] 6 = x_1 [/tex]
[tex] x_1 = 6 [/tex]
[tex] -12 = \frac{y_1 - 7}{2} [/tex]
[tex] -12*2 = \frac{y_1 - 7}{2}*2 [/tex]
[tex] -24 = y_1 - 7 [/tex]
[tex] -24 + 7 = y_1 - 7 + 7 [/tex]
[tex] -17 = y_1 [/tex]
[tex] y_1 = -17 [/tex]
Ordered pair of the other endpoint is (6, -17)
One serving of a certain brand of yogurt contains 7g of fat. The low-fat version contains 38.25% less fat per serving. How many grams of fat does one serving the low-fat yogurt contain?
Answer:
7g-100%
x-38,25
38,25*7:100=2,6775g
7g-2,6775g=4,4325g
Step-by-step explanation:
Expresa el siguiente número 14322000000000000 en notación científica *
Answer:
14322 * 10¹²
1.4322 * 10¹⁶
Step-by-step explanation:
14322000000000000
14322 * 10¹²
1.4322 * 10¹⁶
what is the surface area means
Answer:
that is the outsider part.of something
the sum of the areas of all the faces of a three dimension figure or in 3-D shapes
Total hours worked for Hans Zupp is ___ .
a ) 40 hours 15 minutes
b ) 42 hours 35 minutes
c ) 44 hours 15 minutes
d ) 46 hours 15 minutes
Answer:
Option (D)
Step-by-step explanation:
Total hours worked of Monday= 4:45 hours + 5:00 hours = 9:45 hours
Total hours worked of Tuesday= 4:45 hours + 4:45 hours = 9:30 hours
Total hours worked of Wednesday= 4:30 hours + 4:30 hours = 9:00 hours
Total hours worked of Thursday= 4:45 hours + 4:15 hours = 9:00 hours
Total hours worked of Friday= 4:45 hours + 4:15 hours = 9:00 hours
Total hours worked = 9:45 + 9:30 + 9:00 + 9:00 + 9:00
= 46:15 hours
≈ 46 hours 15 minutes
Option (D) will be the answer.
3x^2+11x+6 in factor form
Answer: (3x+2)(x+3)
Step-by-step explanation: Factor by grouping.
I hope this helps you out.
Answer:
[tex](3x+2)(x+3)[/tex]
Step-by-step explanation:
[tex]3x^{2} +11x+6[/tex]
Let's factor.
[tex]3x^{2}+11x+6[/tex]
This equals
[tex](3x+2)(x+3)[/tex]
Now you got your answer!
Hope this helps!
Parallel lines /////////////
Answer:
38°
Step-by-step explanation:
∠4=∠2
∠2=∠6
∠6=38°
So ∠4=38°
Answer:
The answer is 38°
Step-by-step explanation:
When both lines are parallel, their vertical opposite angles will be the same. So ∠4 = 38°.
4) half of 14
thank u
Answer:
7
Step-by-step explanation:
:)
it's so easy :))))))))
Answer:
Half of 14 is 7
Step-by-step explanation:
help will give brainliest
Answer:
-10+4=-6
Step-by-step explanation:
Find the distance between X (5, 7) and Y (-6, 6).
Round answer to the nearest tenth.
Answer: 11.0 or 11
Step-by-step explanation:
To find the distance first find the difference between the coordinates. find the change in the x and y coordinates and square them to add them to get a number and find the square root of that same number to find the distance.
x coordinates: 5-(-6)= 11
y coordinate: 7-6 = -1
Now square them
11^2 + 1^2 = l^2 where l is the distance
121 + 1 = l^2
122 =l^2
l = [tex]\sqrt{122}[/tex]
l = 11.045 Rounded to the nearest tenth is 11.0
The sum of two numbers is 48. The larger number is 7 less than four times the smaller number. Find the numbers.
Answer:
Larger number = 37
Smaller Number = 11
Step-by-step explanation:
Lets take x as the bigger number and y as the smaller number
x + y = 48
What do we know?
The larger number is 7 less than four times the smaller number
so 4y - 7 = x
Lets replace the equation obove with x
4y - 7 + y = 48
5y - 7 = 48
5y = 48 + 7
y = 55/5
y = 11
Then multiply 11 by 4 11 times 4 = 44 and subtract by 7 44 - 7 = 37
To recheck add 37 to 11 and u should get 48
which of the folowing has a value that is less than zero.
a.) (-6)2
Answer:
the answer is the letter A
Answer:
A
Step-by-step explanation:
It's A because -6 * 2 equals -12 which is less than zero
Question 1 (1 point)
Find the volume of a cube whose side length is 2.5 feet.
Volume
3
S
side 3
Answer:
Answer:
v=15.625ft³ or 15.63ft³
Step-by-step explanation:
v=s³
v=2.5³
v=15.625
round off to the nearest hundredth
v=15.63ft³
how much time with it take for 450 to yield 81 as interest at 4.5 per annum of simple interesst
Answer:
4 years
Step-by-step explanation:
The formula for simple interest is useful here.
I = Prt
where P is the principal invested at rate r for t years.
Fill in the given values and solve for t:
81 = 450×0.045×t
81/20.25 = t = 4
It will take 4 years for 450 to yield 81.
which of the following must describe an irrational number? (1pt) a number with a nonterminating decimal expansion a number with a non repeating decimal expansion a number with a repeating or terminating decimal expansion a number with a non repeating and non terminating decimal expansion.
Answer:
a number with a non repeating and non terminating decimal expansion.
Step-by-step explanation:
Irrational numbers are numbers which cannot be expressed as fractions, they are real numbers which cannot be expressed as rational numbers such as the square root of natural numbers other than perfect squares.
Irrational numbers are non repeating, non terminating decimal numbers with no group of the digits repeated. Therefore the decimal expansion does not terminate but continues without repetition example is π.
Find the nth Taylor polynomial for the function, centered at c. f(x) = ln(x), n = 4, c = 3 P4(x) =
Answer:
P₄(x) = ln3 + 1/3 (x-3) - 1/9*2! (x-3)² + 2/27*3! (x-3)³ - 2/27*4! (x - 3)⁴
Step-by-step explanation:
Given:
f(x) = ln(x)
n = 4
c = 3
To find:
nth Taylor polynomial for the function, centered at c
Solution:
The Taylor series for f(x) = ln x centered at 3 is:
[tex]P_{n}(x) = f(c) + \frac{f'(c)}{1!}(x-c)+\frac{f''(c)}{2!}(x-c)^{2} +\frac{f'''(c)}{3!}(x-c)^{3}+...+\frac{f^{n} (c)}{n!}(x-c)^{n}[/tex]
Since c = 3 So,
[tex]P_{4}(x) = f(3) + \frac{f'(3)}{1!}(x-3)+\frac{f''(3)}{2!}(x-3)^{2} +\frac{f'''(3)}{3!}(x-3)^{3}+...+\frac{f^{n} (3)}{n!}(x-3)^{n}[/tex]
Now
f(3) = ln 3
f'(x) = 1/x ⇒ f'(3) = 1/3
f''(x) = -1/x² ⇒ f''(3) = -1/3² = -1/9
f'''(x) = 2/x³ ⇒ f'''(3) = 2/3³ = 2/27
f[tex]^{(4)}[/tex] (x) = -6/x⁴ ⇒ f[tex]^{(4)}[/tex] (3) = -6/3⁴ = -6/81 = - 2/27
So Taylor polynomial for n=4 is:
P₄(x) = ln3 + 1/3 (x-3) - 1/9*2! (x-3)² + 2/27*3! (x-3)³ - 2/27*4! (x - 3)⁴
Express the quotient 36/12
Answer:
Step-by-step explanation:
36/12 = 3
12 x 3 = 36
how many kilometres are there in 1 metre
Answer:
0.001km
1km is 1000m
So, 1m is 1m divided by 1000km
Which gives 0.001km
There are 0.001 kilometres in 1 metre.
1000 metre =1 kilometre
1 metre=1/1000 kilometre
How many subsets are there of the set N = {1, 42, 65, 12, 31, 27}?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{64}}}}}[/tex]
Step-by-step explanation:
If ' n ' is the cardinal number of a set, the number of subsets of a given set can be obtained by using the formula 2ⁿ
Given,
N = { 1 , 42 , 65 , 12 , 31 , 27 }
where n ( total number of elements ) = 6
So, the number of possible subsets of set N :
= 2ⁿ
= 2⁶
= 2 × 2 × 2 × 2 × 2 × 2
= 64
Hope I helped!
Best regards!!