Answer:
y = 121.14
Step-by-step explanation:
For this, we will need to start by cross multiplying.
(4.2 * y) = (48 * 10.6)
4.2y = 508.8
to isolate the varible, we need to divide both sides by 4.2
y = 121.14
Pete and Marsha are going to buy a swimming pool. Mike wants a rectangular one that is 18 feet wide, 20 feet long, and 6 feet deep, and Marsha wants a circle shaped pool that is 20 feet across and 6 feet deep. They decide to buy the pool that cost less to fill. If the price of water is 25 cents per cubic foot, which pool do they buy and how much does it cost?
Answer:
The pool that they buy is the circular pool which Marsha wants
The cost of the circular pool is $471.25
Step-by-step explanation:
The parameters of the swimming pools which each of Pete and Marsha wants to buy is given as follows;
The dimensions of the pool Pete wants = 18 feet wide, 20 feet long and 6 feet deep
The dimensions of the circle shaped pool Marsha wants = 20 feet across and 6 feet deep
The price of water, P = 25 cents per cubic foot
The pool they decide to buy = The pool that costs less to fill
The volume of water to fill the pool Pete wants, V₁ = 18 ft. × 20 ft. × 6 ft. = 2,160 ft.³
The cost of filling the pool Pete wants, C₁ = V₁ × P
∴ C₁ = 2,160 ft.³ × 25cents/ft.³ = 54,000 cents = 540 Dollars
The volume of water to fill the pool Marsha wants, V₂ = π·(20 ft.)²/4 × 6 ft. ≈ 1,884.96 ft.³
The cost of filling the pool Marsha wants, C₁ = V₁ × P
∴ C₁ ≈ 1,884.96 ft.³ × 25 cents/ft.³ ≈ 47,124 cents = 471.24 Dollars
The pool that they buy is the circular pool that Marsha wants and it costs $471.24 to fill
The relationship between the number of calories Aaron burns while working out can be represented by y = 3x, where x is the number of minutes and y is the number of calories burned. Which of the following could be the graph of this situation?
Answer:
Step-by-step explanation:
The relation is proportional ⇒ Graph of y = 3x goes through origin
So the answer is (B)
please someone help me i'm gonna cry lol
[tex]\sqrt{2}[/tex]Answer:
Step-by-step explanation:
now the equations looks like
5-4*Cos(x) = y
when 45° gets plugged into Cos(x) we get [tex]\sqrt{2}[/tex]/2 again
5- 4 * ([tex]\sqrt{2}[/tex]/2) = y
5-2[tex]\sqrt{2}[/tex]=y
leave it in that form . it's exact that way
What is the HCF of 21m³n - 14m²n³ + 35m²n² ?
Answer:
7m^2n (i think)
Step-by-step explanation:
need help for this question pls urgent
Here are the marks of a student in four exams.
65 80 76 69
The student takes a fifth exam.
His mean mark for the five exams is 70
Work out his mark in the fifth exam.
Answer:
61 marksStep-by-step explanation:
Given,
Marks of the four exams = 65, 80, 76, 68
Let the mark for the fifth exam be = x
Mean of the five exams = 70
Therefore,
By the problem,
[tex] = > \frac{65 + 80 + 76 + 68 + x}{5} = 70[/tex]
[tex] = > \frac{289 + x}{5} = 70[/tex]
=> 289 + x = 70 × 5
=> 289 + x = 350
=> x = 350 - 289
=> x = 61
Hence,
Marks of the fifth exam is 61 (Ans)
que es un ángulo obtuso
Answer:
naniiiiiiiiiiiiiiiiiiiiii
Answer:
uhmmuhmmmmmmmmuhmmmm
PLEASE ANSWER QUICKLY!
Decorative glass balls are being stored in a box. Each ball has a radius of 213 cm.
How many balls will fit in each layer of a box that is 20 cm by 15 cm?
A.) 7 balls
B.) 12 balls
C.) 48 balls
Answer:
2/3
Step-by-step explanation:
Answer:
B.) 12 balls
Step-by-step explanation:
i took the test on k-12!
The sink started with 20ml of water and increases at 3ml per min. If the sink is currently holding 75ml, how many minutes have passed? Which equation would you use to solve for m (minutes passed)?
Answer:
18.78 minutes is my opinion
Step-by-step explanation:
3 ml is filled in 1 minute
1 ml is filled in 1/3 minutes
20 ml is filled in 1/3*20 minutes
=6.22
75 ml is filled in 1/3*75 minutes
=25
25-6.22=18.78
a car has traveled 400 miles in 10 hours the car has averaged 40 miles per hour
Answer:
I'm confused on what the question was or are you just making sure it's correct
Answer:
Your statement is correct
Step-by-step explanation:
400 miles/10 hours = 40miles/hour
Sarah paid $16.50 for 3 yards of fabric. how much did Sarah pay for each yard of fabric
Answer5.5:
Step-by-step explanation:
Divided 16.50 by 3
Answer:
5.50
Step-by-step explanation:
16.50 divided by 3 5.50
please help me im using my all out attack
Answer:
for the first answer your answer was correct, it was the second answer that was wrong. So the first answer is 2 3/4. The second answer would be 81 centimeters because it grew that much.
Step-by-step explanation:
To find the first answer add the starting height and ending height. To find how much it grew convert the total ending height of the tree to cm by multiply by 100, so 275. Then subtract 356 by 275 because you are finding out how much it grew. Take away 275 from 356 and you get 81
find the values of the following
(a) -5×4+3×-6
Answer: -26+3x
-5×4+3×-6
Simplifies to:
-20+3x-6
Eric has 240 coins in his collection. 11\20 of his coins are pennies. 4\20 of the coins are nickels. The rest f the coins are quarters. How many of the coins are quarters? Explain how you got your answer.
Answer:Number of coins that are quarters =60
Step-by-step explanation:
Total coins in possession of Eric=240
Number of coins that are pennies=11\20 x 240= 132
Number of coins that are nickels=4\20 x 240= 48
Since the rest are quarters,
Number of coins that are quarters =Total coins in possession of Eric -( Number of coins that are pennies+ Number of coins that are nickels)
=240-(132+48)
=240-180
=60
Which product of prime polynomials is equivalent to 3x4 – 81x?
3x(x – 3)(x2 – 3x – 9)
3x(x – 3)(x2 + 3x + 9)
3x(x – 3)(x – 3)(x + 3)
3x(x – 3)(x + 3)(x + 3)
Given:
The expression is
[tex]3x^4-81x[/tex]
To find:
The product of prime polynomials which is equivalent to the given expression.
Solution:
We have,
[tex]3x^4-81x[/tex]
Taking out the common factors, we get
[tex]=3x(x^3-27)[/tex]
It can be written as
[tex]=3x(x^3-3^3)[/tex]
[tex]=3x(x-3)(x^2+3x+3^2)[/tex] [tex][\because a^3-b^3=(a-b)(a^2+ab+b^2)][/tex]
[tex]=3x(x-3)(x^2+3x+3^2)[/tex]
[tex]=3x(x-3)(x^2+3x+9)[/tex]
Therefore, the correct option is B.
Answer:
It's B
Step-by-step explanation:
i dont know how to do this
Answer:
y ≥ 1
since the graph starts at 1 and doesn't come below that
Answer:
BI hoped this helped :))
If the volume of the cone is 250 feet, what is the missing length?
Use 3.14 for it and round the answer to the nearest hundredth.
1
1
h=?
r=6 feet
feet.
The missing length is
Answer:
6.63
Step-by-step explanation:
i need major help here
Terry uses a ladder that is 12 feet tall. To be safe the ladder must make an angle of elevation of between 70-85 degrees to be safe. If he places the ladder 3 feet from the wall, is it safe?
Answer:
It is safe
Step-by-step explanation:
Using trigonometry :
Cosθ = adjacent / hypotenus
Hypotenus = length of ladder = 12 feets
Adjacent = distance between ladder and wall = 3 feets
Cosθ = 3 /12
Cosθ = 0.25
θ = cos^-1(0.25)
θ = 75.522°
To be safe ladder must be between (70 - 85)°
Sijce ladder is at an elevation of 75.22° ; then it is safe.
Find the radius x of a
Answer:
This doesn’t add up because the hypotenuse is supposed to be the longest side
Step-by-step explanation:
If lm=13 and ln=20 what is the length of mn
Answer: 7
Step-by-step explanation:
Total=LN
Piece= LM
Total-piece
LN-LM=MN
20-13=7
MN=7
Answer:
its 7
if you subtract LM and LN you get 7
hello i need help whit this in math
ZB=
Round your answer to the nearest hundredth.
B
?
5
2
С
А
Answer:
angle B = 66.42
Step-by-step explanation:
cos-1 B = [tex]\frac{adjacent}{hypotenuse}[/tex]
cos-1 B = [tex]\frac{2}{5}[/tex]
cos-1 B = 0.40
cos-1 of 0.40 is 66.4218
round to the nearest hundreth = 66.42
angle b = 66.42
Question 4 (1 point)
What is the value of x?
30
A. 4 sqrt 3
B. 16
C. 4
D. 8 sqrt 3
Answer:
I think answer is C. 4
Step-by-step explanation:
8:2=4
Cubic equation that has been transformed from the parent function with a vertical compression, reflected over the y-axis and shifted up.
Question is incomplete
Answer:
See Explanation
Step-by-step explanation:
Let the cubic function be
[tex]f(x) = (x,y)[/tex]
First transformation: Vertical compression
Let the scale factor be a where [tex]0 < |a| < 1[/tex]
The new function becomes:
[tex]f'(x) = (x,ay)[/tex]
Next: Reflection over y-axis
The rule is: [tex](x,y)=>(-x,y)[/tex]
The new function becomes:
[tex]f"(x) = (-x,ay)[/tex]
Lastly: Shifted up
Let the units up be b
The rule is: [tex](x,y)=>(x,y+b)[/tex]
So, the new function becomes:
[tex]f"'(x) = (-x,ay+b)[/tex]
Using the rules states above, assume the cubic function is:
[tex]f(x) = x^3[/tex]
Vertical compress [tex]f(x) = x^3[/tex] by [tex]\frac{1}{2}[/tex]
[tex]f'(x) = \frac{1}{2}x^3[/tex]
Reflect [tex]f'(x) = \frac{1}{2}x^3[/tex] over y-axis
Rule: [tex]f"(x)= f'(-x)[/tex]
Solving f'(-x)
[tex]f'(x) = \frac{1}{2}x^3[/tex]
[tex]f'(-x) = \frac{1}{2}(-x)^3[/tex]
[tex]f'(-x) = -\frac{1}{2}x^3[/tex]
So:
[tex]f"(x) = -\frac{1}{2}x^3[/tex]
Lastly: Shift [tex]f"(x) = -\frac{1}{2}x^3[/tex] by 3
Rule: [tex](x,y)=>(x,y+b)[/tex]
[tex]f'"(x) = f"(x + 3)[/tex]
Solving: f"(x + 3)
[tex]f"(x) = -\frac{1}{2}x^3[/tex]
Substitute x + 3 for x
[tex]f"(x + 3) = -\frac{1}{2}(x + 3)^3[/tex]
So:
[tex]f'"(x) = f"(x + 3)[/tex]
[tex]f"'(x) = -\frac{1}{2}(x + 3)^3[/tex]
subtract (7x - 3) -(5-3x)
Answer:
4x-8
Step-by-step explanation:
7x-3-5-3x
combine like terms
7x-3x-3-5
4x-8
unless there is a value for x then that is all i can do
hope this helps:)
Answer: 10x - 8
Step-by-step explanation:
(7x - 3) -(5-3x)
= (7x - 3) - 5 + 3x Made them without parentheses. For -(5-3x), because there are - in front them, which means to multiply -1, so it become -5+3x.
= 7x - 3 - 5 + 3x
= 7x + 3x - 3 - 5
= 10x - 8
Order the set of numbers from least to greatest:
Answer:
It is already in the correct order
Macy started the week with $30. She then worked at her tutoring job at $15 an hour. She had a total of $210 at the end of the week. Set up an equation to determine the number of hours she worked that week. ( You don't need to solve )
What figure appears to be the image of Figure H after a
dilation by a scale factor of į and a rotation of 180*?
Answer:
Figure D
Step-by-step explanation:
dilation by a factor of 1/2: (x,y) -> (1/2 x , 1/2 y)
rotation 180°: (1/2 x , 1/2 y) -> (-1/2 x , -1/2 y)
hey! can u help me with this?! 6 divided by 3/5 in fraction form!?!?!!?
Answer:
10/1
Step-by-step explanation:
You do
6÷ 3/5
Flip the 3/5 then multiply
6 ° 5/3
Reduce the numbers with the greatest common factor 3
So 2•5
And that's 10
Ans is 10.
The numbers in 6 divided by 3/5 are labeled below:
6 = whole number
3 = numerator
5 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
6 x 5/3 = 30/3
Thus, the answer to 6 divided by 3/5 in fraction form is:
30/3
To make the answer to 6 divided by 3/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
30 / 3 = 10
The answer is rounded to the nearest two decimal points if necessary.
30/3 can be simplified to 10/1.
10/1 is an improper fraction and should be written as 10.
A spinner with 9 equal sections is numbered 1 through 9. The probability of spinning a 3 is 1/9. What is the probability of not spinning a 3? Enter your answer as a fraction, in simplest form, in the box.
Answer:
The probability of not spinning a 3 is [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
The probability of spinning a 3 is 1/9. What is the probability of not spinning a 3?
Spinning a 3 and not spinning a 3 are complementary events, which means that the sum of their probabilities is decimal 1. So
[tex]\frac{1}{9} + p = 1[/tex]
[tex]p = 1 - \frac{1}{9} = \frac{9}{9} - \frac{1}{9} = \frac{8}{9}[/tex]
The probability of not spinning a 3 is [tex]\frac{8}{9}[/tex]