Answer:
I believe the answer is 240
A tub of water is emptied at a rate of 3 gallons per minute. The equation y –12 = –3(x – 1) models the amount of water remaining, where x is time (in minutes) and y is the amount of water left (in gallons). Analyze the work shown below to determine the initial amount of water.
1. Solve for the y-variable.
y – 12 = –3(x – 1)
y – 12 = –3x + 3
y = –3x +15
2. Write the equation using function notation.
f(x) = –3x +15
The tub started with
gallons of water.
The initial amount of the water is 15 gallons
Linear functionsThese are functions that has a leading degree of 1. Given the equation that represents the amount of water remaining after x minutes;
y - 12 = -3(x- 1)
y -12 = -3x + 3
y = -3x +3 + 12
y = -3x + 15
In order to determine the initial amount of water, we will substitute x =0 into the function
y = -3(0) + 15
y = 15
Hence the initial amount of the water is 15 gallons
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Answer:
15
Step-by-step explanation:
Peter takes 7 minutes and 30 seconds to run 1 mile. How many miles can he run in 15 minutes?
miles
Answer:
2 miles
Step-by-step explanation:
Peter takes 7 minutes and 30 seconds per mile.
7 times 2 is 14 minutes.
30 seconds times 2 is 1 minute.
If you add these 2 values together you get 15 minutes.
So we need to times the miles by 2 to get 2 miles.
I hope this helps, have a lovely day.
What’s the difference in these two questions and why did we divide in one and multiple in one ( also why did we divide by8 in question 2)
Answer:
times and divide
they are both diffrent equations
If investments double every 9 years and you start with a $600 investment, how much money would you have after 27 years? First, complete the equation: Future Amount = 600 (1 + [?]) ↑ ↑ initial amount growth rate Hint: Doubling means a 100% growth rate. time periods Enter
Answer:
600(1+1)^3 with future amount being 4800
Step-by-step explanation:
The amount of the money after 27 years will be $4800.
What is the amount?The quantity of money anyone has is termed as the amount. The solution to the question is given as follows:-
Given that investments double every 9 years and you start with a $600 investment. how much money would you have after 27 years?
We know that the amount is getting double in every 9 years so the number of times the amount will get doubled will be = 27 / 9 = 3
Future amount = 600(1+1)³
Future amount = 600 ( 2 )³
Future amount = 600 ( 8 ) = $4800
Therefore the amount of the money after 27 years will be $4800.
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What is the force, in N, when a pressure of 22 N/m² is exerted on an area of 750 cm²?
Answer:
1.65 N
Step-by-step explanation:
Step 1: convert cm^2 to m^2
1 cm^2 = 0.0001 m^2
750 cm^2 = 0.075 m^2
Step 2: multiply pressure by area
F = P*A = 22 N/m^2 * 0.075 m^2 = 1.65 N
y=x^2+5x-8 to factored form
Answer:
Factor and set each factor equal to zero. Y=x2+5x−8
Step-by-step explanation:
help me, please i need your help
The answer to each question in the image is given below:
y - 0.32y = 0.68yy + 0.32y = 1.32yy + [tex]\frac{2}{5}[/tex]y = [tex]\frac{7}{5}y[/tex]y - [tex]\frac{2}{5}y[/tex] = [tex]\frac{3}{5}y[/tex] Meaning of equivalent equations.An equivalent equation can be defined as an equation that has the same meaning and also has the same answer with another equation or with an equation it is said to be equivalent with.
The above equation are equivalent to each other meaning they can be used to derive each other.
In conclusion, the list above is the right pairs of equivalent equations.
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Explain why cos(−3π4)=cos(5π4).
Answer:
See below
Step-by-step explanation:
Think about what happens when you rotate around a circle [tex]-\frac{3\pi}{4}[/tex] radians. This means that you are going clockwise [tex]-\frac{3\pi}{4}[/tex] radians.
Likewise, if you went [tex]\frac{5\pi}{4}[/tex] radians counterclockwise, you'd end up in the same place, so the cosine values must be the same.
Andre took 6 kicks and made 4 goals: 4/6
Tom wants to take more than 20 kicks and make an equivalent fraction to Andre.
what are two possible fractions of goals Tom can make
some one please help me slove this I can't figure it out I will give Brainliest answer to who ever answer frist...
keeping in mind that twin sides stemming from a common vertex make twin angles at the "base", Check the picture below.
Lindsay sketches a right triangle with lengths f, g, and h as shown. She uses the Pythagorean Theorem to write the equation f2 + g2 = h2 to represent the triangle. How can Lindsay correct her error? Explain your reasoning.
Answer:
hope you can understand
can i have help with this
Answer:
x^32
Step-by-step explanation:
A fraction bar is a division symbol. When you are dividing, you can subtract the exponents.
x^56 / x^24
= x ^ (56-24)
= x^32
Answer:
x^32
Step-by-step explanation:
a^m/a^n = a^(m-n)
so, x^56/x^24 = x^(56-24) = x^32
3^x+3^x =54 what's the value of x ?
Answer:
x = 3
Step-by-step explanation:
if you need an explanation let me know
Answer:
x = 3
Step-by-step explanation:
Given:
[tex] \implies \rm 3 {}^{x} + {3}^{x} = 54[/tex]
To Find:
Value of xSolution:
We could re-write 3^x+3^x as:
[We factored here][tex] \implies \: 2(3 {}^{x} ) = 54[/tex]
Divide both sides by 2
[tex] \implies \cfrac{2(3 {}^{x}) }{2} = \cfrac{54}{2} [/tex]
[tex] \implies \: 3 {}^{x} = 27[/tex]
Take logarithm on both sides
[tex] \implies \: \log(3 {}^{x} ) = \log(27)[/tex]
[tex] \implies \: x \times \log(3) = \rm \: log \: (27)[/tex]
[tex] \implies \: x = \cfrac{ \log(27)}{ \log \:(3)} [/tex]
[tex] \implies \boxed{x = 3}[/tex]
Hence, x = 3 .
simplify 4^(3)*4^(5)
A. 16^8
B. 4^8
C. 4^15
D. 16 * 15
Answer:
B. 4^8
Step-by-step explanation:
The indices of the base 4 can be added while multiplying i.e. 3+5=8 but the base remains the same.
Answer:
B
Step-by-step explanation:
Because in powers we just add so it will be 4^3+5
=4^8
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.
Answer:
Step-by-step explanation:
how do i solve 8(2-6v) + 19 = -61
Answer:
v=2
Step-by-step explanation:
A right cone has a slant height of 6 and a radius of 4. What is its surface
area?
The surface area of the cone is 40π
What is a cone?A cone is a solid shape with a circular base and a tapered side.
Analysis:
surface area of a cone = πrl + π[tex]r^{2}[/tex] = π( 6x4) + π(4 x 4) = 40π
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Dan has a list of the scores of all his
math tests and quizzes during the
year. What are the mode and median
of the data set?
88, 79, 71, 75, 53, 88
a. mode = 88, median = 88
b. mode = 88, median = 77
C. mode = 77, median = 77
d. mode = 77, median = 88
Answer:
b. mode = 88, median = 77
Step-by-step explanation:
First, arrange all the numbers least to greatest.
53, 71, 75, 79, 88, 88
The mode is the number that occurs the most.
mode = 88
The median is the middle number. Since there is an even number of numbers, look at the two middle numbers 75 and 79. Add them together and divide by two (finding the average or mean of the numbers).
75 + 79 = 154
154/2 = 77
median = 77
If a rectangle’s perimeter is 86 units and the width is 15 units, what is the length in units?
Answer:
I think the answer would be 28
A restaurant bill is £132
A 10% service charge is included in the bill.
How much is the service charge?
Answer:
1.1x= 132
Step-by-step explanation:
Find the period and amplitude of the function.
y=5cos2O
Answer:
period pi and amplitude 5
To remain healthy, a person needs at least 8 hours of sleep. A company wants to know if their employees get enough sleep. A random sample of 24 employees revealed that the average number of hours of sleep an employee gets is 6.7 with standard deviation of 2.3. What should be the test statistic?
Answer:
how many hours a week the employees are working?
Step-by-step explanation:
I could be wrong but that's my fault if it's wrong sorry
help pls im being timed i cant do mathhh
what is the value of the digit 5in the number 734.95?
Answer:
0.05
explanation
value means total value
so it's 5*0.01
=0.05
Which organisms reproduce through a...se...xu...al reproduction? (Select all that apply.)
starfish
yeast
fungi
bacteria
PICK MORE THAN ONE and no links please 1+1
Answer:
bacteria and fungi
Step-by-step explanation:
Single organism makes an exact copy of itself
Bacteria, some plants and fungi, few animals (sponges)
Offspring are identical to parent
Please help Fast! Need answer by 1:00 pm
Combine the like terms to create an equivalent expression:−3z−z
Answer:
-4z
Step-by-step explanation:
Hi student! Let me help you out.
_____________________
Note that, -3z and -z are like terms. This means we can combine them right off the bat, which gives us [tex]\mathrm{-4z}[/tex].
[tex]\mathrm{-3z-z=-4z}[/tex]. -4z is our final answer.
Hope that this helped you! have a good day ahead.
Best Wishes!
[tex]\star\bigstar\underline{\underline{\overline{\overline{\textsf{Reach far. AIm high. Dream big.}}}}}\bigstar\star[/tex]
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___________________
Answer:
-4z
Step-by-step explanation:
-3z-z
On combining like terms,
= -4z
Here,the terms are -3z and -z, where - and - combines and + is the result,so we need to add the expression.The table below shows the value of Henry's car at the end for each of the first 3 years after it is purchased. The values form a geometric
sequence.
Year
Value
dollars)
18000
116200
14580
(in
What will be the approximate value of the car at the end of the 10th year?
O
A. $6,974
B. $8,610
C. $11,810
D. $7,748
Using a geometric sequence, it is found that the approximate value of the car at the end of the 10th year will be given by:
A. $6,974.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
In this problem, the first term and the common ratio are given, respectively, by:
[tex]a_1 = 18000, q = \frac{16200}{18000} = 0.9[/tex]
Hence the equation is:
[tex]a_n = 18000(0.9)^{n-1}[/tex]
At the end of the 10th year, the value will be of:
[tex]a_{10} = 18000(0.9)^{10-1} = 6974[/tex]
Hence option A is correct.
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The center circle on a playing field has a radius of 7.5m find its circumference
The circumference of the circular playing field.
Solution:[tex]\huge\boxed{Formula:C= 2\pi{r}}[/tex]
We'll have to multiply 2, π and radius.
Substitute the values according to the formula.
[tex]C= 2× \pi ×7.5[/tex]
[tex]C= 47.12389 [/tex]
[tex]\large\boxed{C= 47.12 \: m}[/tex]
Therefore, the circumference of the circular playing field is 47.12 feets.
Solve for x.
x/12 = -4
Answer:
[tex] \frac{x}{12} = - 4[/tex]
[tex] \frac{x}{12} = \frac { - 4}{1} [/tex]
[tex]x \times 1 = 12 \times - 4[/tex]
[tex]x = - 48[/tex]
value of x is -48
Answer:
x=-48.
Step-by-step explanation:
To find x we should multiply both sides, by 12:
[tex]\sf \cfrac{x}{12}\times12=\-4\times12[/tex]
↪
The 12s cancel on the left:
[tex]x=-4\times12[/tex]
After multiplying we obtain [tex]\sf x=-48[/tex]. Which is our answer.
Hope that this helped you! Have a good day ahead.
Best Wishes!
[tex]\star\bigstar\underline{\underline{\overline{\overline{\text{Reach far. Aim high. Dream big.}}}}}\bigstar\star[/tex]
◆◆-Greetings!-◈◈
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