Given:
The cost to install x number of central air conditioning units for a company is given by the function
[tex]C(x)=\dfrac{4000x+1300}{3}[/tex]
To find:
The cost to install 45 air conditioners.
Solution:
We have,
[tex]C(x)=\dfrac{4000x+1300}{3}[/tex]
Putting x=45, we get
[tex]C(45)=\dfrac{4000(45)+1300}{3}[/tex]
[tex]C(45)=\dfrac{180000+1300}{3}[/tex]
[tex]C(45)=\dfrac{181300}{3}[/tex]
[tex]C(45)=60433.3333...[/tex]
[tex]C(45)\approx 60433.33[/tex]
Therefore, the cost to install 45 air conditioners is $60433.33.
PLEASE HELP THIS IS DUE TODAY AND I HAVE NO IDEA
Answer: 62.4
Step-by-step explanation:
6 times 5.20 times 1/2 = 15.6
15.6 times 4 = 62.4
The longest side of triangle is 10 cm which group of line segments could form the other 2 sides of the triangle
Answer
A 5cm and 5 cm
B 7cm and 8cm
C 4cm and 4cm
D 9cm and 10 cm
Please i need to know
Answer:
The group of line segments that could form the other 2 sides of the triangle is;
B. 7 cm and 8 cm
Step-by-step explanation:
The triangle inequality theorem states that the sum of the length of any two sides of a triangle is larger than the length of the third side
The given parameter of the triangle is that the length of the longest side of the triangle = 10 cm
Let, 'a', and 'b', represent the remaining two sides of the triangle
Therefore, by the triangle inequality theorem, we have;
(1) a + b > 10 cm
(2) 10 cm + a > b
(3) 10 cm + b > a
The option that satisfies condition (1), (2), and (3) are options 'B' and 'D', for which we have;
7 cm + 8 cm = 15 cm > 10 cm
10 cm + 7 cm = 17 cm > 8 cm
10 cm + 8 cm = 18 cm > 7 cm
9 cm + 10 cm = 19 cm > 10 cm
10 cm + 9 cm = 19 cm > 10 cm
10 cm + 10 cm = 20 cm > 9 cm
Therefore, the possible combination of the other two sides are;
7 cm and 8 cm or 9 cm and 10 cm
However, a side of option 'D' is 10 cm and given that the longest side of the triangle = 10 cm, the length of each of the other two side should be less than 10 cm and the only given possible combination of the other two side should be option 'B', 7 cm and 8 cm.
Answer:
B 7cm and 8cm
Step-by-step explanation:
|0-(-1/2)| evaluate
Answer:
21/2
Step-by-step explanation:
step 1: remove parentheses
10+1/2
step 2: calculate
21/2
(alternative forms: 10 1/2, 10.5)
Reflect the figure over the line y= -x -2
pls help no tutors know the answer!!
Answer: You'll have a quadrilateral with the following points
(5, -5)(4, -7)(6, -7)(8, -3)A diagram is posted below.
===================================================
Explanation:
The given quadrilateral has four unmarked points. I'll add the point labels A,B,C,D such that
A = (-3, 3)B = (-5, 2)C = (-5, 4)D = (-1, 6)I started at the lower right corner and worked my way clockwise.
----------------
Let's shift the line y = x-2 up two units so that it moves to y = x
We'll need to shift every point of the quadrilateral up two units as well.
So we have these new point locations after the shifting has occurred.
A' = (-3, 5)B' = (-5, 4)C' = (-5, 6)D' = (-1, 8)----------------
Now we need to reflect over the diagonal line. The rule to reflect over the line y = x is as simple as swapping the x and y coordinates.
So we can say [tex](x,y) \to (y,x)[/tex]
A point like (-3, 5) moves to (5, -3)
We have these new locations
A'' = (5, -3)B'' = (4, -5)C'' = (6, -5)D'' = (8, -1)----------------
The last thing to do is to shift everything down 2 units. This is to undo the first step we did when we shifted everything up by 2 units.
Doing this leads to these locations
A''' = (5, -5)B''' = (4, -7)C''' = (6, -7)D''' = (8, -3)Check out the diagram below.
3 x 6 + 3^3 + 4^3
plz help
Answer:
18x + 91
Step-by-step explanation:
Answer:
I believe it will be 118
Step-by-step explanation:
Hope this helps.
what’s the answer for this please? Thankssss!! Only if you know
Answer:
I Dont know the answer Sorryyyyyyyyyy
WILL MARK BRAINLIEST
Can someone please check my answer, if it’s wrong please correct me
Answer:
Yes
Step-by-step explanation:
It is symmetrical on the y-axis so must be.
Answer:
correct
Step-by-step explanation:
Jackie is buying crackers and wants to know how many crackers are in the box. The box is 8 cm long, 2.4 cm wide, and 60 cm high. The dimensions of the crackers are 3cm long, 4 cm wide, and 5 cm high. How many crackers are in the box? Round to the nearest whole number. Geometry
Answer:
19
Step-by-step explanation:
Number of crackers that can be fit into the box = volume of the box / volume of crackers
Volume = length x width x height
volume of the box = 8 cm x 2.4 cm x 60 cm = 1152 cm^3
Volume of the crackers = 3cm x 4 cm x 5cm = 60cm^3
1152/60 = 19.2
Rounding 19.2 to the nearest whole number gives 19
What is the remainder if f(x) = x^4- 5x2 - 6x - 10 is divided by x - 3?
A. 8
B. 44
C. -46
D. 224
Answer:
A) 8
Step-by-step explanation:
The remainder when f(x) = x⁴ + 0x³ - 5x² - 6x - 10 is divided by x - 3 is 18.
What is factor theorem?Factor theorem states that if x - a is a factor of f(x) then f(a) = 0.If f(a) ≠ 0 then x - a is not a factor of f(x).
To determine the remainder of f(x) = x⁴ + 0x³ - 5x² - 6x - 10 when divided by x - 3 which is x - 3 = 0 or x = 3 we have to replace the value of x in f(x).
∴ f(x) = x⁴ + 0x³ - 5x² - 6x - 10.
f(3) = (3)⁴ + 0(3)³ - 5(3)² - 6(3) - 10.
f(3) = 81 + 0 - 45 - 18.
f(3) = 18.
So, the remainder is 18.
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I don’t now if u can see it very well but could anyone help me with this
Answer:
A and c
Step-by-step explanation:
If im correct A and C is the answer because A and C represent the vertical angles :)
Find the missing length. If needed, round to the nearest tenth.
B
7
E
3
G
The value of x is 2
Answer:
Step-by-step explanation:
AB = BG
10 = 7+x
x = 3
A bicycle Rocco wants to buy is $282. If the sales tax rate is 4% of the total price how much sales tax will Rocco pay?
Answer:
he will pay 11.28 dollars. I hope it helps!
Answer:
Your answer would be $11.28
Step-by-step explanation:
if you find 4% of 282 you would get 11.28 so therefore it is your answer.
Please find the product of
(a^3-a^2)×7a
Answer:
The answer will be 7a⁴-7a³=7a. (4-3=1) using exponents property
Which inequality correctly orders the numbers -5,-3, and 2 from greatest to least?
Answer:
1) 2 > -3 > -5
Step-by-step explanation:
that is mathematically correct
identify the slope and the intercept for the following inequality -2×-y
[tex]\Huge{\textbf{\textsf{{\color{navy}{ᴀɴ}}{\purple{ᴡs}}{\pink{ᴇʀ}}{\color{pink}{:}}}}}[/tex]
It's called the "y intercept" and it's the y value of the point where the line intersects the y- axis. For this line, the y-intercept is "negative 1." You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. This point will always have an x coordinate of zero.
Plot and label the point on the coordinate grid. E(5, 2)
Step-by-step explanation:
The answer is put x=2
Y=2
At Stacy's Hats, 41 out of the 82 hats at the store are baseball caps. What percentage of hats at the store are baseball caps
Answer:
50 percent
Step-by-step explanation:
Ron made 3 pitchers of lemonade to sell at a lemonade stand. The cost of making the lemonade is 50 cents per pitcher of lemonade.
He sold each cup of lemonade for 15 cents, and he sold a total of 36 cups of lemonade.
How much money did Ron make selling lemonade after paying out the cost of making the lemonade?
$ ___
Answer:
$3.90
The cost of making them all is 1.50 subtracted from the profit he made
Work out the perimeter of a semicircle with radius 3 cm.
Give your answer in terms of tt.
3 cm
Answer:
3π+ 6 = 15.42477796
Step-by-step explanation:
diameter = 6
πd = circumference
6x π = 6π
3π = semi circle
3π+ 6 = 15.42477796
The radius of a circle is 3 m. Find its area to the nearest tenth.The radius of a circle is 3 ft. Find its area to the nearest tenth.
Answer:
1st question answer is A = πr^2 2nd question answer is A≈28.27ft²
Step-by-step explanation:
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
The two triangles are related by
, so the triangles
.
9514 1404 393
Answer:
yes, the triangles are congruent -- by the SAS congruence postulate
Step-by-step explanation:
Two sides and the angle between them are marked congruent, so the Side-Angle-Side (SAS) congruence postulate applies.
The two triangles are SAS congruent.
What is the solution to x-1=-2x+5
Answer:
x = 2
Step-by-step explanation:
Solve for x
x - 1 = -2x + 5
3x = 6
x = 2
Answer: 3
Step-by-step explanation:
1×-2=-2
-2+5=3
-2×1+5=3
I hope this helps, have a good day or night:)
which one is weight?
1 kg stone
1 kg cotton
Answer:
1kg stone
Step-by-step explanation:
Answer:
1kg stone is heavy so it is weight
Kameh owns a bakery. The table below shows his recorded income and expenses for the bakery.
Month Income (s) Expenses (S)
January
1,606 1,664.75
February 1,378 1432.62
March 1,225 1,225.00
June 2,381 1,995.55
July
2,391
2,083.68
August 2,187 1,802.63
Part 1 out of 2
Drag and drop the names of the months in which the income was greater than the expenses into the box.
February
January
August
July
March
June
Answer:
The months in which the income was greater than the expenses are;
June, July, and August
Step-by-step explanation:
The recorded income and expenses for the bakery are given as follows;
[tex]\begin{array}{cccc}Month&Income \ (\$)&Expense \ (\$)& Difference \ (\$)\\January&1,606&1,664.75 & (58.75)\\February&1,378&1,432.62 & (54.62)\\March&1,225&1,225.00&0.00\\June&2,381&1,995.55&385.45\\July&2,391&2,083.68&307.32\\August&2,187&1,802.63&384.37\end{array}[/tex]
From the difference values obtained in the table above, the months in which the income was greater than the expenses are;
June, July, and August
PLZ HELP!!DO ONLY ONE PART IF YOU WANT TO BUT DO BOTH IF YOU CAN(show work btw)
Answer:
Step-by-step explanation:
Look at picture
katarina bought a package of 500 stickers are heart. The remaining stickers are stars
Where is the question?
Answer: There are 375 star stickers and 125 heart stickers.
There are 500 stickers with 20 stickers per sheet; 500/20 = 25 sheets of stickers.
25% of each sheet is hearts; 25/100(20) = 5 heart stickers per sheet. 5(25) = 125 total heart stickers.
20 stickers per sheet - 5 heart stickers per sheet = 15 star stickers per sheet. 15(25) = 375 total star stickers.
There are 90 girls and 60 boys in the sixth grade at a middle school of the students 9 girls and three boys write left-handed what percent of the 6th graders at this Middle School right left handed
Sixty is what percent of 30
Answer:
sixty percent of 30 is 200
solve the system of equations by graphing. y=4x+2 y=7/2x+1 plz help
Answer:
LOL i belive its 200 because i did this exact same thing yesterday for homework and got it right so yeah i guess it is?
Step-by-step explanation:
Express the fraction 1/15^7 using a negative exponent
Answer:
I think its 15^-7
Step-by-step explanation:
you can forget about the one and just look at the 15 and 7 which you get 15^-7
The fraction (1/15)⁷ can be written as 15⁻⁷ after using the properties of the integer exponent.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The number expression is:
= (1/15)⁷
As we know, from the definition of the integer exponent; integer exponents are exponents that should be integers. It may be a positive or negative number.
After using the properties of the integer exponent:
= (15⁻¹)⁷
= 15⁻⁷
Thus, the fraction (1/15)⁷ can be written as 15⁻⁷ after using the properties of the integer exponent.
Learn more about the integer exponent here:
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