Answer:
Domain: 0 minutes to time it takes to fill. Range: 0 to a 10,000 gallons
Step-by-step explanation:
The domain will be from 0 minutes to time it takes to fill i.e., 1000 and range will be from 0 to 10000 gallons.
It is given that a hose fills 10000 gallon swimming pool at rate of 10 gallons per minute.
We have to find the domain and range.
What do you mean by domain and range ?
The domain is the set of all values for which the function is defined and the range of the function is the set of all values that function takes.
As per the question ;
Capacity of swimming pool = 10000 gallons
Rate of filling = 10 gallons per minute
So ;
Time taken in filling the swimming pool will be ;
= 10000 / 10
= 1000 minutes
So ;
The domain will be from 0 to 1000 minutes i.e., time taken to fill the swimming pool.
Whereas ;
The range will be from 0 to 10000 gallons i.e., amount of swimming pool filled.
Thus , the domain will be from 0 minutes to time it takes to fill i.e., 1000 and range will be from 0 to 10000 gallons.
To learn more about domain and ranges click here ;
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Hiiiooo can someone please help me ❤️❤️:D
Answer:
10
Step-by-step explanation:
because it shows where the line is
What is the GCF of the numerator & denominator below?
(x-2)(x+3)/x^2+4x+3
Answer:
Step-by-step explanation:
Factorize the denominator
Sum = 4
Product = 3
Factors = 1 , 3 {1*3 = 3 and 1+3 = 4}
x² + 4x + 3 = x² + x + 3x + 1*3
= x(x + 1) + 3(x + 1)
= (x + 1)(x + 3)
GCF of the numerator and denominator = (x + 3)
According to the line plot, what is the total distance run for all of the runners combined?
Answer:
Add all of them together. 1/5 + 2/4 + 4/3 + 3/2 = 53/15 miles
Step-by-step explanation:
1/5 + 2(1/4) + 4(1/3) + 3(1/2)
Drag fruit to represent each total weight shown.
WILL GIVE BRAINLIEST!
Given that ℓ1 ∥ ℓ2 and y = 36°, find x.
x =
Answer:
x = 48
Step-by-step explanation:
From the given diagram, the sum of the angles given is equal to 180 degrees as shown;
x+y+2x = 80
Since y = 36
x +36+2x = 180
3x = 180 - 36
3x = 144
x = 144/3
x = 48
Hence the value of x is 48
Write and solve a proportion to answer the question.
75% of 124 is what number a
?
Write and solve a proportion to answer the question.
72 is what percent of 45?
Andrew cut 24 feet of chain into pieces that were each 1/3ft long. How many of these pieces did Andrew have after cutting the chain?
Answer:
72
Step-by-step explanation:
1/3 ft is 4 inches
24 feet is 288 inches
take 288 and divide it by 4
you get 72, which is the number of pieces of chain Andrew has
what is -1 3/10 + -3.8
Answer:
answer
Step-by-step explanation:
=convert 3.8 into mixed number
=3 4/5
=1 3/10+3 4/5
=5.1 in mixed fraction
=5 1/10
if i got it wrong i am seriously sorry!
Which equation can be used to solve for c? Triangle A B C is shown. Angle A C B is 90 degrees and angle A B C is 35 degrees. The length of C B is 5 inches, the length of A C is b, and the length of B A is c.
Answer:
c = 5/Cos 35
Step-by-step explanation:
We are given the following
m<ACB = 90degrees
m<ABC = 35degrees
The side opposite to m<ABC is AC
BA = hypotenuse
CB = adjacent = 5inches
Required
Equation to solve BA which is c
Using the Pythagoras theorem;
Cos theta = Adjacent/Hypotenuse
Cos m<ABC = CB/BA
Cos m<ABC = 5/c
c = 5/cosm<ABC
c = 5/Cos 35
Hence the equation that can be used to solve for c is c = 5/Cos 35
1.
The width of a rectangle is 19 centimeters less than double the length.
Let v be length of the rectangle. Write a variable expression for the width.
Answer:
width = 2v - 19
Step-by-step explanation:
Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0=2x^2+3x-8? 1.99 2.00
Answer:
1.39
Step-by-step explanation:
Given the quadratic equation :
2x^2+3x-8 = 0
We could apply the quadratic equation formula :
a = 2 ; b = 3, c = - 8
The formula is stated as :
-b±sqrt(b² - 4ac)/2a
To save computation tune, we could use a calculator :
The roots are : - 2.886 ; 1.386
The positive solution rounded to the nearest hundredth is : 1.39
please help me with my math
Answer:
SA = 480 cm²
Step-by-step explanation:
Surface area of the composite figure given in the picture = (Surface Area of the triangular prism on the top - area of the rectangular base) + (Surface area of the rectangular prism - Area of the rectangular base)
Surface area of the triangular prism = Area of the triangular bases + (perimeter of the base × Height)
= [tex]2(\frac{1}{2}\times 3\times 8)[/tex] + [(5 + 5 + 8)×12]
= 24 + 216
= 240 cm²
Area of the rectangular surface of the prism = 8 × 12 = 96 cm²
Surface area of the rectangular prism = 2(lb + bh + hl)
Here, l = Length, b = width and h = Height of the rectangular prism
= 2(8 × 12 + 12 × 6 + 6 ×8)
= 432 cm²
Surface area of the composite figure = (240 - 96) + (432 - 96)
= 144 + 336
= 480 cm²
2. Suppose y varies directly as x and y=-8 when x=-2. Find x when y=32.
Answer:
x = 8
Step-by-step explanation:
Use the direct variation equation, y = kx
Plug in the given values of x and y, and solve for k:
y = kx
-8 = k(-2)
4 = k
So, the equation is y = 4x
Using this, plug in 32 as y, and solve for x:
y = 4x
32 = 4x
8 = x
So, x = 8 when y = 32
11. Bethany is paid 4% commission on
carpet sales. She sold $850 worth of
carpet to a family today. What was
her commission?
Simplify the following expression.
Answer:
1/64
Step-by-step explanation:
Simplify the following:
1/(4^(11/3)×4^(-2/3))
Hint: | Simplify radicals.
1/4^(2/3) = 1/(4^2)^(1/3) = 1/(2^4)^(1/3) = (1/2^(1/3))/2:
1/(4^(11/3)×(1/2^(1/3))/2)
Hint: | Multiply numerator and denominator of 1/(2 2^(1/3)) by 2^(2/3).
Rationalize the denominator. 1/(2 2^(1/3)) = 1/(2 2^(1/3))×(2^(2/3))/(2^(2/3)) = (2^(2/3))/(2×2):
1/(4^(11/3)×(2^(2/3))/(2×2))
Hint: | Multiply 2 and 2 together.
2×2 = 4:
1/(4^(11/3)×(2^(2/3))/4)
Hint: | Separate the exponent of 4^(-11/3) into integer and fractional parts.
4^(-11/3) = 4^(1/3 - 12/3) = 4^(-12/3)×4^(1/3):
(4^(-12/3) 4^(1/3))/((2^(2/3))/4)
Hint: | Divide 12 by 3.
12/3 = (3 (-4))/3 = 4:
(4^(-4) 4^(1/3))/((2^(2/3))/4)
Hint: | Compute 4^4 by repeated squaring.
4^4 = (4^2)^2:
(4^(1/3))/((2^(2/3))/4) 1/(4^2)^2
Hint: | Evaluate 4^2.
4^2 = 16:
(4^(1/3))/(16^2×(2^(2/3))/4)
Hint: | Evaluate 16^2.
| 1 | 6
× | 1 | 6
| 9 | 6
1 | 6 | 0
2 | 5 | 6:
(4^(1/3))/(256×(2^(2/3))/4)
Hint: | Simplify radicals.
4^(1/3) = (2^2)^(1/3):
1/(256×(2^(2/3))/4) 2^(2/3)
Hint: | Write (2^(2/3))/(256×(2^(2/3))/4) as a single fraction.
Multiply the numerator by the reciprocal of the denominator, (2^(2/3))/(256×(2^(2/3))/4) = (2^(2/3))/256×4/2^(2/3):
(2^(2/3)×4)/(256×2^(2/3))
Hint: | Cancel common terms in the numerator and denominator of (2^(2/3)×4)/(256×2^(2/3)).
(2^(2/3)×4)/(256×2^(2/3)) = (2^(2/3))/(2^(2/3))×4/256 = 4/256:
4/256
Hint: | Reduce 4/256 to lowest terms. Start by finding the GCD of 4 and 256.
The gcd of 4 and 256 is 4, so 4/256 = (4×1)/(4×64) = 4/4×1/64 = 1/64:
Answer: 1/64
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=22°, and DB = 44 feet. Find the length of BC to the nearest tenth of a foot.
Answer:47.5
Step-by-step explanation:
how many parts 1/6s does it take to name the same amount as 1/3
Answer:
Two 1/6 pieces
Step-by-step explanation:
Two 1/6 pieces equals 1/3 of the apple
I need help on this plz thanks
Answer:
its a black screen
Step-by-step explanation:
asap 50 points!
-3xy = what when x=5 and y= -6
answers :
-90
90
-33
33
Answer:
I think its 33
Step-by-step explanation:
i may be wrong
Answer:
choice 2) 90
Step-by-step explanation:
-3xy = ?
x=5 and y= -6
-3(5)(-6) = 90
b Two quadrilaterals both have angles 55°, 65°, 95º and 145º
Felix says, 'The two quadrilaterals are similar.
True or false? Explain why.
Answer:
I say true.
Step-by-step explanation:
cuz both of the quadrilaterals have the same angles and all angles equal 360 °
What is the value of 3^2+4(2+4)x6 divided by 8+4
Answer:
its 31
Step-by-step explanation:
I need the answer in under 34 min
Answer:
I. 1 cup is $4.50
2 cups is $9.00
3 cups is $13.50
ll. 6 cups is $27.00
Step-by-step explanation:
Now since the number of cups is proportional to the total cost of frozen yoghurt,and the cost of 4 yoghurts cups where given .ie. $18.00
then 1 cup is $18/4 which is $4.50 per one cup, thus the other cost of cups are given.
therefore 6 cups is 6•18/4 which is $27.00.
hence 5 cups is 5•18/4 which is $22.50.
Multiply: 7,277x6
Please hurry!
43662 dude. .........ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
is -3 rational number
Answer:
Step-by-step explanation:
Rational numbers are numbers that can be expressed as a fraction or ratio of two integers. Rational numbers are denoted Q
.
Since −3 can be written as −3/1
, it could be argued that −3 is also a real number.
Answer:
yes
Step-by-step explanation:
Any rational number can be expressed in the form
[tex]\frac{a}{b}[/tex] ← a and b are integers , then
- 3 = [tex]\frac{-3}{1}[/tex] ← in rational form
Thus - 3 is a rational number
4a-2b=10 what is the value of 2b-4a?
Answer:
-10
Step-by-step explanation:
4a-2b=10
-1(4a-2b)=-1*10
-4a+2b= - 10
2b - 4a = - 10
Is negative 40 greater than 12
Answer:
No, 12 is greater than -40
Step-by-step explanation:
Answer: I think your question is: Is negative forty greater than positive 12. It is not greater. Even if it was negative 40 and negative 12 it still would not be greater. Hope this helps :)
Step-by-step explanation:
Order the sides or angles of each triangle from least to greatest.
Answer:
SU , UT , ST
Step-by-step explanation:
I think it’s 14? Is that right or no?
Answer:
Im pretty sure its 11 because if you look at 145 mark its at between 10 and 12, Hopefully that helps!
Step-by-step explanation:
Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2 -5 -8
b) -7 -12 -17 -22 -27
Step-by-step explanation:
This the answer in the photo
The shaded portion of the bar model in Part A shows 38. What percent is equivalent to 38? Enter the correct answer in the box.
Question:
The shaded portion of the bar model in Part A shows 3/8. What percent is equivalent to 3/8? Enter the correct answer in the box.
Answer:
The equivalent is 37.5%
Step-by-step explanation:
Given
[tex]\frac{3}{8}[/tex]
Required
The equivalent
The model is not shown, but the question can still be solved.
We have:
[tex]\frac{3}{8}[/tex]
Multiply by 100%
[tex]\frac{3}{8} = \frac{3}{8} * 100\%[/tex]
[tex]\frac{3}{8} = 0.375 * 100\%[/tex]
[tex]\frac{3}{8} = 37.5\%[/tex]