Answer:
[tex] {x}^{2} = {(13 - 6)}^{2} + {9}^{2} = {7 }^{2} + {9}^{2} \\ = 130 \\ x = \sqrt{130} = 11.4[/tex]
what is the image of (-4,-2) after a reflection over the y=-x
Answer:
(2,4)
Step-by-step explanation:
because the coordinates change places and signs
Answer:
(- 4, - 2 )
Step-by-step explanation:
Need a detailed explination to solve 4/5 = 0.8 by dividing (will give branliest)
Answer:
Step-by-step explanation:
4/5 means four divided by five. if we do four divided by five, we get 0.8
A certain bank offers a car loan with a fixed annual interest rate. Justine applied for the loan and used the entire amount to buy a car worth $43,000. He had to pay the bank for five years for a total amount of $51,600. How much would be the yearly interest if Justine borrowed $50,000 instead? *
0 points
Answer: $10000
Step-by-step explanation:
From the question,
Principal = $43000
Time = 5 years
Rate = Unknown
Simple Interest = $51,600 - $43000 = $8600
We need to calculate the rate of interest which will be:
Interest = PRT/100
8600 = (43000 × 5 × Rate) / 100
Cross multiply
8600 × 100 = 215000 × Rate
Rate = 860000 / 215000
Rate = 4%
Assuming Justine borrowed $50,000 instead, the yearly Interest will be:
= (50000 × 5 × 4%)
= 50000 × 5 × 0.04
= $10000
Convert the following angle from degrees to radians. Express your answer in simplest
form.
150°
Solve for x:
[tex]5x + 5x = 100[/tex]
Answer: X=10
Step-by-step explanation:
find the slope, (-2,-2) and (1,4)
7/9+5/9 as a fraction in simplest form
1 3/9 is da answerrr
14 = 7n
help please
Answer:
n = 2
Step-by-step explanation:
divide by 7 on both sides
Answer:
n = 2
Step-by-step explanation:
7n is the same as 7 times value = 14.
You may find the value of n by simply dividing both sides by seven, in order to isolate the variable.
^ 14/7 = 7n/7
^ (simplified) 2 = n or n =2
Therefore:
Your answer is 2 or n's value in this scenario is 2.
Justin has a savings account.
• He started with $70 in his account.
• He deposits $15 into the account each week.
What is the total amount Justin will have in his account after 10 weeks?
Answer:
220
Step-by-step explanation:
Multiply 15 times 10 =150
150+70=220
Hope this helps :)
==========================================================
Explanation:
After 10 weeks, he'll deposit a total of 15*10 = 150 dollars on top of the $70 already in the account. This means the grand total is 150+70 = 220 dollars
If you need to use algebra, then an algebraic expression you can use is 70+15x where x is the number of weeks. Replace x with 10 and you'll end up with 70+15*10 = 70+150 = 220. It's effectively the same idea and steps as the previous paragraph, but now we're involving a variable.
The volume of a rectangular prism is 473.2 cubic millimeters. If the length is 7 millimeters and the width is 10.4 millimeters, what is the height of the rectangular prism?
Answer:
c
Step-by-step explanation:
it is
A water container in the shape of a cone has a height of 5 inches and a diameter of 3.5 inches.
Enter an equation in the first blank box and a number in the second blank box to complete the statements about the
water container ___.
A. The formula to calculate the container's volume, V, with the given measurements is
B. The container can hold approximately ___ cubic inches of water. Round your answer to the nearest hundreth.
Answer
A. The formula to calculate the container's volume, V, with the given measurements is ⅓ π(1.25²)5.
B. The container can hold approximately 8.177 cubic inches of water. Round your answer to the nearest hundredth.
Step-by-Step Explanation
A. The formula to calculate any cone's volume is ⅓ πr²h. Replace the variables with the actual values of the cone. r stands for the cone base's radius, or half of the diameter. Because the diameter is 3.5, the radius is 1.25, or half of it. The h stands for the height of the cone. Now we can plug in the values. Our answer for this part is ⅓ π(1.25²)5.
B. Now to solve our equation. [tex]1.25^2[/tex] is equal to 1.5625. Now, multiply by the height. 1.5625 x 5 is equal to 7.8125. We now multiply by [tex]\pi[/tex]. We'll use 3.14 to shorten the answer a bit. Multiply 7.8125 by 3.14 and you'll get 24.53125. Last but not least, divide this by 3 (or multiply by [tex]\frac{1}{3}[/tex]). [tex]\frac{24.53125}{3}[/tex] = 8.1770833333... We now must round this to the nearest hundredth. This makes our final answer 8.177 [tex]in^3[/tex].
Find the area. Please hurry!
PLZZZZZZZZZZZZ help asap thank you no links thank you .
Answer:
Answer is 969
Step-by-step explanation:
oasjfuagfiaifoqhfpwbnpvniohaoi
What is the value of y in the equation 2(2y - 12) = 0?
4
6
7
8
Answer:
The second option, 6
Step-by-step explanation:
opening the parentheses, the equation becomes,
4y - 24 = 0
4y = 24
y = 6
The population of rabbits on an island is growing exponentially. In the year 2000, the
population of rabbits was 220, and by 2004 the population had grown to 350. Predict
the population of rabbits in the year 2011, to the nearest whole number.
Answer:
Step-by-step explanation:
630
Answer:
789 to nearest whole number.
Step-by-step explanation:
In 4 years its increased from 220 to 350.
350 = 220(e)^4k where k is some constant.
e^4k = 350/220
4k = ln (350/220) = 0.4643
k = 0.1161
The equation of growth is therefore
P = 220e^0.1161t)
So in 2011 ( t = 11 years) the
Population = 220 * e^(11*0.1161)
= 789.
HELP PLEASE!
Eight light poles are evenly spaced along a street. A total of 140 plastic pipes of the same length are placed EQUALLY between the 8 poles.
a) How many pipes are placed between the FIRST and SECOND poles?
b) Each pipe is 6 meters long. The pipes are connected end to end just touching each other between the poles. What is the distance between the first and second poles?
Answer:
n m n .m .nmn nm Step-by-step explanation:
Help!! I’ll give brainliest!!
Answer:
A. -1
Step-by-step explanation:
To find the slope, subtract the x-coordinates, subtract the y-coordinates, lastly, divide the differences.
(3,1) (4,0)
3 - 4 = -1
1 - 0 = 1
-1 ÷ 1 = -1
-1 is the slope.
GHJK is a square with diagonals intersecting at L. Given that GH=2 and GL=square root of , complete the statement
Answer:
GL = square root of 2 = √2
Step-by-step explanation:
Given: GHJK is a square and its diagonals intersect at L
GJ and HK are its two diagonals.
We know that in a square diagonals bisect each other and if length of side is a, then length of its diagonal = √2 a.
Therefore, GJ=HK = √2×2
Since, diagonal intersect at L , L is mid point of GJ and HK
Therefore, GL = √2×2/2 = √2
Hence, GL = square root of 2
Solve for x..................
Answer:
x = 4
Step-by-step explanation:
(5x+131)° and (5x+19)° are supplementary. Therefore, (5x+19)° + (5x+131)° equals to 180°.
Knowing that, we can do the following:
(5x+19) + (5x+131) = 1805x + 19 + 5x + 131 = 18010x + 140 = 18010x = 40x = 4The maintenance crew of a hotel has to monitor the temperature of the hotel pool and hot tub. To enhance comfort, the management team requests that the mean pool temperature and the mean hot tub temperatures not differ by more than 15 degrees. To estimate the difference in these mean temperatures the maintenance crew selects a random sample of 8 times to check the hot tub temperature and a random sample of 10 times to check the pool temperature. Although the sample sizes are small, the distribution of temperature for the pool and for the hot tub does not show strong skewness or any outliers. The mean pool temperature is 86 degrees with a standard deviation of 3 degrees. The mean hot tub temperature is 101 with a standard deviation of 1.8 degrees. What is the correct 95% confidence interval for the true difference in the population means (hot tub – pool)? Use the conservative df.
Answer: Option D
Explanation: 100%
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 29 feet, and the length of the other base is 24 feet. The height is 12 feet. What is the area of this section of the deck?
Answer:
A=318
Step-by-step explanation:
A= a+b/2h=24+29/2.12=318
please help
2y+x=-15
y=2x
Answer: x = -3
Step-by-step explanation:
2y + x = -15
y = 2x
2y = 2(2x) = 4x
4x + x = -15
5x = -15
x = -3
Aubrey dinner cost 85$ she tips the waitstaff 30% for excellent service how much is Audrey's tip ?
Answer:
25.5 dollars
Step-by-step explanation:
Answer:
25.5
Step-by-step explanation:
you go 85 x 0.3 and get that as your answer
Prove algebraically that the square of any number is always 1 more than a multiple of 8
Answer:
This is interesting but I don't think it's provable (unless it's just the square of odd numbers).
3² = 9, which is 1 more than a multiple of 8 (8)
4² = 16, which is not 1 more than a multiple of 8 (8)
5² = 25, which is 1 more than a multiple of 8 (24)
6² = 36, which is not 1 more than a multiple of 8 (32)
7² = 49, which is 1 more than a multiple of 8 (48)
8² = 64, which is not 1 more than a multiple of 8 (64)
9² = 81, which is 1 more than a multiple of 8 (80)
10² = 100, which is not 1 more than a multiple of 8 (96)
To the nearest tenth, what percentage of people were in the 41 - 50 age group and favored the Do-It-Yourself books?
A. 9.2%
B 20.4%
C. 45.1%
D. 57.1%
HELPP ASAP
Answer: it should be 9.2%
Step-by-step explanation:
The percentage of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books will be [tex]9.2\%[/tex] .
What is Percentage ?Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, [tex]"\%"[/tex] .
Percentage [tex]=\frac{Obtained\ Number}{Total\ Number} *100[/tex]
We have,
Total number of people [tex]=750[/tex]
Number of people in the [tex]41 - 50[/tex] age group [tex]=268[/tex]
Number of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books [tex]=69[/tex]
So,
Percentage of favored the Do-It-Yourself books in the [tex]41 - 50[/tex] age group [tex]=\frac{Do-It-yourself\ 41-50\ age}{Total\ Number\ people} *100[/tex]
[tex]=\frac{69}{750} *100[/tex]
[tex]=9.2\%[/tex]
So, the percentage of people is [tex]9.2\%[/tex] .
Hence, we can say that the percentage of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books will be [tex]9.2\%[/tex] .
To know more about Percentage click here
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Write an exponential function and then find the value when t=7 initial value2000 annual rate:9.2%growth
Answer:
Step-by-step explanation:
Write an exponential function and then find the value when t=7 initial value2000 annual rate:9.2%growth
Exponential growth function
= y = a(1 + r)^t
Solving for y
y = 200(1 + 0.092)⁷
Choose all of the values for x that are solutions to x < -2.
A.x=0
B. x=2
C. x= -2
D.x=-1/2
E. x= -4
Write an expression that is equivalent to 4 times x times x times x
Answer:
4x³
Step-by-step explanation:
4 * x * x * x
4 * x² * x
4 * x³
4x³
Simply multiply, that's all that's needed.
Mark invests £12000 in a savings account. the account pays 1.5% compound interest per year. work out the value of her investment after two years?
Answer:
FV= £12,362.7
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= £12,000
Number of periods (n)= 2 years
Interest rate (i)= 1.5% = 0.015
To calculate the Future Value, we need to use the following formula:
FV= PV*(1 + i)^n
FV= 12,000*(1.015^2)
FV= £12,362.7
Daniel has read 40% of a book. He has 30 more pages to finish. How many pages are there in the book?
Answer:
75 Pages
Step-by-step explanation:
If he has 40% completed, it is 0.40 as a decimal. We are trying to solve for the total number of pages in the book, or the whole.
part/whole = percent
Let x = total number of pages in the book
30/x=0.40
x=30/0.40 = 75 pages in the book