Answer: the length is 6 feet. The width is 2 feet
Step-by-step explanation:
The garden pool is rectangular in shape.
Let L represent the length of the rectangular garden.
Let W represent the width of the rectangular garden.
The area of a rectangle is expressed as L× W. The area of the rectangular garden pond is 12ft^2. It means that
L× W = 12 - - - - - - - - - - 1
The length of the pool needs to be 2ft more than twice that width. This means that
L = 2W + 2 - - - - - - - - - - - 2
Substituting equation 2 into equation 1, it becomes
W(2W + 2) = 12
2W^2 + 2W = 12
2W^2 + 2W - 12 = 0
W^2 + W - 6 = 0
W^2 + 3W - 2W - 6 = 0
W(W + 3) - 2(W + 3) = 0
W - 2 = 0 or W + 3 = 0
W = 2 or W = - 3
Since the Width cannot be negative, then the width is 2 feet
Substituting W = 2 into equation 2. It becomes
L = 2×2 + 2 = 6 feet
Lucy invested $19,000 in an account paying an interest rate of 3% compounded annually. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 8 years?
Answer: 24100
Step-by-step explanation:
The money in the account after 8 years is $24068.631.
Given that, principal=$19000 and the rate of interest=3%.
What is the formula to find the compound interest?The formula to find the compound interest is CI=A-P.
Where, A=Amount that is [tex]A=P(1+\frac{r}{100} )^{n}[/tex], P=principal.
Now, [tex]A=19000(1+\frac{3}{100} )^{8}[/tex]
=19000[tex](1.03)^{8}[/tex]
=19000×1.26677008139
=$24068.6315464
=$24068.631
Therefore, the money in account is $24068.631.
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When
When 7 is subtract from three times a certain number the result is 28 what is the number
Answer:
x=49
Step-by-step explanation:
you replace the unknown with a variable (x)
you subtract 7 three times, so it x-7-7-7=28 or x-21=28
you add 21 to both sides, then you get x=49
1
What is m∠GEF?
A 55°
B 110°
C 125°
D 235°
2 Decide if each statement about angle measures in a triangle is true or false.
Choose True or False for each statement.
please help I need an answer now, please
Answer:
I'm pretty sure its 125... I remember getting asked this question and it was right. (i am not completely sure if it's right)
Step-by-step explanation:
Help pls am confused
Answer:
Oww no
hope that will help you
What is the slope of a line perpendicular to the line whose equation is
2x+12y=−192. Fully reduce your answer.
The slope of a line would be -6 which is perpendicular to the line whose equation is 2x+12y=−192.
What is the slope of the line?The slope of a line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
We have to determine the slope of a line perpendicular to the line whose equation 2x + 12y = −192.
First, we have to find the slope of the given line
The equation of the line which is given as
2x + 12y = −192
12y = −192 - 2x
Divided by 12 both sides of the above equation to get the slope-intercept form
y = - (1/6)x - 16
Here the slope of the line (m) = -1/6
So the slope of the line perpendicular to the line will be: 1/m = 1/(-1/6) = - 6.
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The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is the probability that you wait longer than one hour for a taxi? (b) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within next 10 minutes? (c) Determine xx such that the probability that you wait more than xx minutes is 0.10. (d) Determine xx such that the probability that you wait less than xx minutes is 0.90. (e) Determine xx such that the probability that you wait less than xx minutes is 0.50
Answer: a)0.025 b)0.63 c)23 d)1.053 e)6.93
Step-by-step explanation:
E(x)= 10
It is a continuous random variable, so calculating for ✓, we have
10=E(x)1/✓
✓=1/10=0.1
1)P(x>60)=1-F(60)=e^0.1x60=0.0025
2) Employing lack of memory property, we have, P(X<70|X>60)=P(X<10)= F(10)=1-e^-0.1x10= 0.63
3) for 0.1, x= -1/0.1 ln0.1= 23
4) for 0.9, x= -1/0.1 ln 0.9= 1.053
5) for 0.5, x -1/0.1 ln 0.5= 6.3
Help me :( please omg this is to hard for me
Answer:
The answer is 39.
Step-by-step explanation:
bc^2 + a / c
=(9)(4)^2 + (12) / (4)
=(9)(4*4) + (12) / (4)
=(9)16 + (12) / (4)
=144 + 12 / 4
=156 / 4
=39
Answer:
327
Step-by-step explanation:
when the variables are together multiply
so
9×4=
36
36²=
1296
1296+12=
1308
1308÷4=
327
hope this helps!
What is the greatest four-digit multiple of 18?
Please help me
Answer:
9990.
Step-by-step explanation:
The American Academy Dermatology says that hair grows about 6 inches per year. How much hair can you expect to grow after 3 years, given that you do not get any haircuts.
-2x+m=5d
solve for m.
Answer:
m=2x+5d
Step-by-step explanation:
Which table is correct for y = -3/2X + 5
Answer:
we need the tables.
Step-by-step explanation:
HEY CAN ANYONE PLS ANSWER DIS RQ!!!!!!!!!
Answer:
A
Step-by-step explanation:
substitiuting the values repectively gives you the answer for the other.
This graph represents −2x+y=4.
Which ordered pair is in the solution set of −2x+y≥4?
(2, −1)
(−2, −1)
(−2, 1)
(2, 1)
Answer:
-2,1
Step-by-step explanation:
Answer:
the answer is (-2,1)
MATH EXPERTS OUT THERE I NEED YOUR ASSITANCE!!!!PLEASE SHOW YOUR WORK ITS DUE RIGHT NOW!!!
1. The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75 at the fair. Jermaine spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets.
(a) Define your variables.
(b) Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission.
(c) Explain your answer to Part 1b.
.
.A line goes through the points, (8,9) and (-2,4).
What is the slope of the line? Show your work.
Write the equation of the line in point-slope form. Show your work.
Write the equation of the line in slope-intercept form. Show your work.
.
.
Line A is represented by the equation, y=1/4 x+5.
Write in slope-intercept form the equation of a line that is parallel to Line A and passes through the point, (8,-2). Show your work.
Write in slope-intercept form the equation of a line that is perpendicular to Line A and passes through the point, (4," 1"). Show your work.
Answer:
a) x = 25 tickets
y = 43.75 - Total cost
a = admission cost
b/c) 1.25(25)+a=43.75
31.25+a=43.75
43.75-31.25=12.50 cost of admission
12.50+31.25=43.75 total cost at the country fair.
(8,9) and (-2,4)
equation would be y = 1/2x+5
(do the work its a lot there can be videos found online)
nfadkjnbvjkn I'm busy i hope this helped
Hiiii Please help!!!
m/n(x), x≠
When we evaluate the quotient functions, (mn)(x) for x = -3
(mn)(-3) = 9 and (m/n) (x), x ≠ 0
How did we evaluate the quotient function?To evaluate the quotient function (mn)(x) for x = -3, we substituting x = -3 into the function mn(x).
This gives us (mn)(-3) = m(-3) × n(-3) = (-3)² × (-3) = 9.
We then need to evaluate (m/n)(x), x ≠ 0.
This is done by dividing the function m(x) by the function n(x). This gives us (m/n)(x) = m(x) / n(x) = x^2 / x = x. However, this expression is undefined when x = 0, because division by zero is undefine
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Patricia bought 21 loaves of bread for $16.59.
including tax. How much does each loaf of bread
cost??
Answer:
Each loft was $0.70 cents?
Step-by-step explanation:
$16.59/ 21 =$0.70
I just read the including tax part. How much was the tax?
Answer:
$.84
Step-by-step explanation:
16.59 * .06 = .9954
.9954 + 16.59 = 17.5854
17.5854 / 21 = .8374
.8374 rounded to the nearest hundredth is .84
i give new question for not so many points. 44+4
Answer:
48
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
44+4=48
yeah basic answer
Area of the circle. Leave your answer in terms of pi.
Answer:
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679
Step-by-step explanation:
by google
What is the probability of
rolling a 6?
Simplify the fraction
Enter the number that belongs in the green box.
Answer:
1/6
Step-by-step explanation:
There are 6 different outcomes when rolling a fair dice.
You can roll a:
1
2
3
4
5
or
6
There is one outcome we want. Probability=number of desirable outcomes/total number of options.
1= number of desired outcomes
6-=total number of outcomes
1/6
hi pls help! i'll give brainliest +30 points
Answer:
Option 3
Step-by-step explanation:
Because only the constant is changed.
Look at the words.
effect principle decent accept
What makes these words difficult to spell?
A. They all end in a silent -e.
B. They all have a silent consonant.
C. They all have doubled consonants.
D. They all are commonly confused words.
Answer:
Your answer is: I would say C) They all have doubled consonants.
Step-by-step explanation:
Hope this helped : )
They are all commonly confused words. Makes these words difficult to spell. The sentence "effect principle decent accept". Thus, option (d) is correct.
What are words?
The term words referred to the combination of the letters. The words are the always in to define the meaning. The letters are arranged in the proper manner of the spellings are in the correct format. The words are the arranged in proper manner in the creation of the sentence. The words are the noun and the pronoun.
According to the sentence, was the based on the commonly confused words. The words are the always commonly as the confused because each word is a different meaning as the similar spelling.
As a result, the commonly confused words are word difficult to spell. Therefore, option (d) is correct.
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And electronics store chain sells headphones The company is about to introduce a new headphones model that is expected to sell very well across its various stores. The projected revenue and cost functions for the headphones are R(x)=-0.25x+25x and c(x)= -17+90. What is the profit function
Answer:
[tex]P(x) = -0.25x^2 + 42x - 90[/tex]
Step-by-step explanation:
Given
[tex]C(x) = -17x + 90[/tex]
[tex]R(x) =- 0.25x^2 + 25x[/tex]
Required
Determine the profit function.
Profit function is calculated as thus:
[tex]P(x) = R(x) - C(x)[/tex]
So, we have:
[tex]P(x) = -0.25x^2 + 25x -(-17x + 90)[/tex]
[tex]P(x) = -0.25x^2 + 25x + 17x - 90[/tex]
[tex]P(x) = -0.25x^2 + 42x - 90[/tex]
If h(x) = 20 +5, find h(2)
Answer:
I think the answer is 50
Step-by-step explanation:
thats how i learned in school i dont remember tho
List the values in ascending order.
43%.
2 3
is
Answer:
1. 2/3 = 66.66%2. 43%Thank you ☺️
How do solve 31 = 5 - 2(3x+4) - x. It can be a fraction.
Six more than four times a number is equal to eight added to three times the same number. Find the number
6+4x=8+3x
-3x -6
x=2
the number is 2
Model the following situation with an equation or inequality statement.
Twice a number is one.
Answer:
2x=1
Step-by-step explanation:
Use x for "a number"
x times 2 = 1
2x=1
which solves for 0.5 or 1/2
2x = 1
yea umm her answer was correct! i checked!
ANSWER IT ANSWER IT!
Answer:
A perfect square means that all side are EXACTLY equal. I hope this helps!
Step-by-step explanation:
In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number
Ajay says that if you take a square number and multiply it by its
square root, you will always end up with a cube number.
Show that Ajay is correct.
Example: What is 3 squared?
3 Squared== 3 × 3 = 9
"Squared" is often written as a little 2 like this:

This says "4 Squared equals 16"
(the little 2 means the number appears twice in multiplying, so 4×4=16)
Square Root
A square root goes the other direction:

3 squared is 9, so a square root of 9 is 3
It is like asking:
Hello I need help with my school question. Here it is. Estimate.
73
×
64 And it’s not 4,672. I tried that