Answer:
180 m²
Step-by-step explanation:
The tennis court has a length of 25 meters and a width of 10 meters. The faulty tennis ball machines are placed at both ends of the court length.
The green ball machine has a range of 5 meters to 20 meters from the green machine's side while the yellow ball machine has a range of 2 meters to 16 meters from the yellow machine's.
Therefore the area of the tennis court with balls on it, has a range of 2 meters from the yellow machine and 5 meters from the green ball machine. Hence:
length of court with balls = 25 m - (5 m + 2 m) = 25 m - 7 m = 18 m
width of court = 10 m
Therefore, the area of the tennis court that has balls of either color on it = length of court with balls * width of court with balls = 18 m * 10 m = 180 m²
It costs $25 for every 2-hour art class, how much would it cost for 6 hours of art classes
Answer:
$75
Step-by-step explanation:
If it costs $25 for two hours and we want 6 hours, we simply multiply it by 3 because 6/2 = 3.
$25 * 3 = $75
Answer:
The answer $75
Step-by-step explanation:
you add $25 each 2 hours and it would be $75 simple
Four gardeners record the weight, in pounds, of 5 pumpkins they grew.
Which statement about the weights of the pumpkins is true?
Answer:
Answer is The range of weights for Greg's pumkins is the least
Step-by-step explanation:
:)
5 ≤ - 3x- 3 ≤ 10 solve the inequality for x
Answer:
[tex] - \frac{8}{3} \geqslant x \geqslant - \frac{13}{3} [/tex]Step-by-step explanation:
to understand thisyou need to know about:inequalitysolving inequalityPEMDASgiven:5 ≤ - 3x- 3 ≤ 10
to solve:x
let's solve:few notes about inequality
the direction of the inequality doesn't change if you
Add (or subtract) a number from both sidesMultiply (or divide) both sides by a positive numberSimplify a sidethe direction of the inequality does change
if you
Multiply (or divide) both sides by a negative numberSwapping left and right hand sides[tex]step - 1 : difine[/tex]
[tex]5 \leqslant - 3x - 3 \leqslant 10[/tex]
[tex]step - 2 : \\ add \: 3 \: in \: each \: sides[/tex]
[tex]5 + 3 \leqslant - 3x - 3 + 3 \leqslant 10 + 3[/tex]
[tex]8 \leqslant - 3x \leqslant 13[/tex]
[tex]step - 3 : \\ divide \: - 3\: from \: each \: sides \: \\ and \: swap \: the \: inequalily[/tex]
[tex] \therefore - \frac{8}{3} \geqslant x \geqslant - \frac{13}{3} [/tex]
Find the arc length of the curve below on the given interval by integrating with respect to x.
y=2x^(3/2); [0, 1]
The arc length of [tex]y=2x^{\frac32}[/tex] over [0, 1] is given by the integral,
[tex]L=\displaystyle\int_0^1\sqrt{1+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}\,\mathrm dx[/tex]
Differentiate y with respect to x using the power rule:
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac32\times2 x^{\frac32-1}=3x^{\frac12}[/tex]
Then the integral becomes
[tex]L=\displaystyle\int_0^1\sqrt{1+\left(3x^{\frac12}\right)^2}\,\mathrm dx=\int_0^1\sqrt{1+9x}\,\mathrm dx[/tex]
Substitute u = 1 + 9x and du = 9 dx :
[tex]L=\displaystyle\int_0^1\sqrt{1+9x}\,\mathrm dx=\frac19\int_1^{10}\sqrt u\,\mathrm du[/tex]
[tex]L=\displaystyle\frac19\left(\frac23u^{\frac32}\right)\bigg|_1^{10}[/tex]
[tex]L=\dfrac2{27}\left(10^{\frac32}-1^{\frac32}\right)[/tex]
[tex]L=\boxed{\dfrac2{27}\left(10^{\frac32}-1\right)}[/tex]
A large rectangular movie screen in an IMAX theater has an area of 10,800 square feet. Find the dimensions of the screen if it is 30 feet longer than it is wide. length ft width ft
Answer:
Let x be the width of the screen and
x + 30 be the length of the screen
Area of the screen = 10384 square feet
=>x(x+30) = 10384
x^2 + 30x = 10384
x^2 + 30x - 10384 = 0
Splitting-
x2+118x - 88x -10384 = 0
x(x+118) -88(x+118) = 0
(x+118)(x-88) = 0
x=-118,88
Since width should be positive,
width = 88 feet
length = 118 feet
Step-by-step explanation:
Victoria borrowed $500 for college textbooks. The interest rate was 6%. She plans to pay back her loan in 6 months. How much will she pay in interest? What will the total amount be that she pays back.
Answer:
The interest will be $30, the total amount she pays will be $530.
Step-by-step explanation:
500 x 0.06
30 = the interest rate cost
500 + 30 = $530
$530 is the total amount Victoria needs to pay, and the interest rate cost is $30.
Abigail walks 8 miles in 2 hours. How far will she walk at this speed in 3 hours?
Answer:
12
Step-by-step explanation:
I want to say because if you divide 8 by 2 you get 4 so then you multiply by 3. I think...
Evaluate the expression for m=4 n=5 p=-2
mn^p
Answer:
mn^p = 4×(5^-2) =4×0.04 =0.16Answer: 4/25
Step-by-step explanation:
mn^p=4(5^-2)
=4/(5^2)
=4/25
Mini muffins cost $3.00 per dozen.
Andre says, “I have $2.00, so I can afford 8 muffins.”
Elena says, “I want to get 16 muffins, so I’ll need to pay $4.00."
1. Do you agree with either, both, or neither of them?
Answer:
ummm
Step-by-step explanation:
Mrs. Crutchfield bought 3 gallons of juice to share equally among her 16 students. What fraction of a gallon did each student get to drink?
Answer:
3/16 of a gallonStep-by-step explanation:
Divide 3 gallons by 16:
3/16 of a gallon for each student1. 87% of 83
2. 100% of 32
3. 89% of 81
4. 22% of 73
5. 36% of 76
6. 45% of 23
7. 50% of 88
8. 7% of 19
Answer:
1. 72.21
2. 32
3. 72.09
4. 16.06
5. 27.36
6. 10.35
7. 44
8. 1.33
Step-by-step explanation:
PLEASE HELP ASAP!!!! I really need to understand this for my math class. Any help is appreciated.
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
= (2x² - 9x) + (3x - 2) = 2x² - 6x - 2.
Therefore (f + g)(3) = 2(3)² - 6(3) - 2 = -2.
(f - g)(x) = f(x) - g(x)
= (2x² - 9x) - (3x - 2) = 2x² - 12x + 2.
Therefore (f - g)(-4) = 2(-4)² - 12(-4) + 2 = 82.
(g o f)(x)
= g(2x² - 9x) = 3(2x² - 9x) - 2 = 6x² - 27x -2.
(f o g)(x)
= f(3x - 2) = 2(3x - 2)² - 9(3x - 2) = 18x² - 51x + 26.
A ratio of 28 to 12 can be expressed in simplest form as:
(1) 8:5
(3) 7:3
(2) 9:4
(4) 14:9
Answer:
[tex] \frac{28}{12} = \frac{(28 \div4)}{(12 \div 4)} = \frac{7}{3} =\boxed{7:3}✓ \\ [/tex]
A ratio of 28 to 12 can be expressed in simplest form as:
(1) 8:5
(2) 7:3✓
(3) 9:4
(4) 14:9
7:3 is the right answer.What is the value of the expression when n = 3?
- 2n(5 + n-8-3n)
O 12
0 24
O 42
O 54
Answer:
-(2×3)×(5+3-8-(3×3))
-(6)×(5+3-8-9)
-6×-9
54
Answer:
The correct answer is 54
Option D
Step-by-step explanation:
All you really need to do is replace the n for 3 when you do so you will get
-2(3)(5+3-8-3(3)) = 54
The () represents multiplication.
Anywas hope this helped!
tn=2{n-1}-5, find t14
Answer:
21
Step-by-step explanation:
plug n = 14 into the equation:
[tex]2(14-1)-5\\2(13)-5\\26 - 5\\21[/tex]
2 x 1/4 + 3/4 please help meeeeeee
Step-by-step explanation:
2 * (1/4) + (3/4)
= (2/4) + (3/4)
= 5/4 or 1.25.
Answer:
5/4
Step-by-step explanation:
First multiply 2 x 1/4
so you would do 2/1 x 1/4
and so that would give you 2/4
and then it would be 2/4 +3/4
and since they have the same denominator
add the numerator which will give you 5/4 or 1 1/4
0.325 is less than 0.253
Answer:
false
Step-by-step explanation:
0.325 is NOT less than 0.253
Jessica has $267 in her checking account. She writes a check for $33 to pay her cable bill. Will the cable bill check be positive or negative in your bank account ?
Answer:
negative
Step-by-step explanation:
Answer:
Negative
Step-by-step explanation:
Every time you pay for something it's negative. Think about it, when your parents pay for bills do they give money or get money? They don't get paid to spend electricity, water, and e.t.c.
so if your bill is 33 and you have 267 then,
267 - 33 = 234
Jordan has a length of string that is 11 1\8 inches. If he cuts off a 2 1\2 inch piece, how long will the remaining string be?
Express 160 as product of their prime
Answer:
hgkgbnnhm,
Step-by-step explanation:
Look at these calculations.
1301 + 287 = ?
1499 + 287 = ?
1545 + 287 = ?
Which calculation is the odd one out? Why?
Answer:
None or 1499 + 287 I assume
Answer:
1545 + 287
odd man out
Step-by-step explanation:
A pair of shoes at a store costs $7.50. The total cost, in dollars is given by the function C(s) = 7.5s.
What is the cost of 4 pairs of shoes?
A
$35
B
$30
C
$25
D
$50
so I was chilling on the couch and I realized I didnt know 5+5 so I started counting on my fingers and I got 39 am I right???
Answer:
i got 39 as well, so i would say your correct.
Step-by-step explanation:
1 point
13) Mrs. Johansen baked 56 cupcakes for the bake sale. At the end of the
day she determined there was a 75% decrease in the number of cupcakes.
How many cupcakes were left? *
Answer:
14 cupcakes
Step-by-step explanation:
75% is equivalent to 3/4 so 56 divided by 4 times by 3
56 divided by 4 is 14 X 3 = 42
56-42 leaves you with 14 cupcakes
A financial company advertises on television that they will pay you $55,000 now in exchange for annual payments of $8,500 that you
are expected to receive for a legal settlement over the next 10 years. You estimate the time
value of money at 7 percent
(a) Calculate the present value of the annual payments. Use Exhibit 1-D. (Round time value factor to 3 decimal places and final
answer to the nearest whole number.)
Present value
(b) Would you accept this offer?
No
Yes
Pro
of 10
Mout
dunno sorry
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Which inequality is a true statement?
Select each correct answer.
−3>−1
−3≤−1
−3=−1
−3≥−1
−3<−1
9514 1404 393
Answer:
-3 ≤ -1-3 < -1Step-by-step explanation:
Negative three is less than (<) negative one, so any statement saying otherwise is incorrect. Correct choices are ...
-3 ≤ -1
-3 < -1
karen purchased dvd 153.77 sale price the original price of dvd was 175.90 what is percent markd ou wn
Answer:
The price was marked down by 12.58%
Step-by-step explanation:
153.77 is a 12.581011938601% decrease of 175.90.
Percentage of decrease = |175.90 - 153.77|/175.90 = 22.13/175.90 = 0.12581011938601 = 12.581011938601%
Simplify (2-6)(5)(23.5)2
Answer:
-940
Step-by-step explanation:
-4 * 5 * 47 = - 940
Which of the following can be used to construct a triangle?
A ) 4cm 12cm 8cm
B) 5cm 12cm 10cm
C) 16cm 4cm 6cm
D) 30cm 12cm 6cm
find the domain and range of the graph
Answer:
domain= -1, 3
range = -1, 1
Step-by-step explanation: ok
