Answer:105.8
Step-by-step explanation: you dived
HELP ASAP
The radius of a quarter circle is 1.4 millimeters. What is the quarter circle's area?
Answer:
A = 1.5386
Step-by-step explanation:
Quarter circle area formula:
A = (πr²)/4
A= (π1.4²)/4
A = (3.14*1.96)/4
A = (6.1544)/4
A = 1.5386
Baba Yaga lost her broom somewhere between her hut and Bald Mountain, and wants to get it back. She calculates that with a tailwind of 2 km/ h, she can fly from her hut to Bald Mountain in 6 hours. Baba Yaga starts her trip, finds her broom 40 km before Bald Mountain, and turns around and flies home. The entire journey takes 9 hours. Find the speed Baba Yaga flies in quiet weather (with no tailwind or headwind).
Answer:
18 km/hStep-by-step explanation:
Let the speed of Baba Yaga is x
The speed with tailwind: x + 2The speed with headwind: x - 2The distance to Bald Mountain:
6(x + 2)The distance she actually travelled is less by 40 km:
6x + 12 - 40 = 6x - 28The time she spent:
(6x - 28)/(x+2) + (6x - 28)/(x -2) = 9Solve for x to find the speed:
((6x + 12) - 40)/(x + 2) + ((6x - 12) - 16)/(x - 2) = 96 - 40/(x + 2) + 6 - 16/(x - 2) = 940/(x + 2) + 16/(x - 2) = 340(x - 2) + 16(x + 2) = 3(x+2)(x - 2)40x - 80 + 16x + 32 = 3x² - 123x² - 56x + 36 = 0Solving the quadratic equation we get:
x = 18 km/h(x = 2/3 discounted as not realistic)The difference between x and 8 is equal to 15
Answer:
x = 23
Step-by-step explanation:
15 + 8 is 23 so x = 23
Testing:
H0:μ=54.5
H1:μ<54.5
Your sample consists of 48 subjects, with a mean of 54.1 and standard deviation of 1.8.
Calculate the test statistic, rounded to 2 decimal places.
t=
Answer:
t = -1.54.
Step-by-step explanation:
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
H0:μ=54.5
This means that [tex]\mu = 54.5[/tex]
Your sample consists of 48 subjects, with a mean of 54.1 and standard deviation of 1.8.
This means, respectively, that [tex]n = 48, \mu = 54.1, \sigma = 1.8[/tex]
Test statistic
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]t = \frac{54.1 - 54.5}{\frac{1.8}{\sqrt{48}}}[/tex]
[tex]t = -1.54[/tex]
The test statistic is t = -1.54.
Find the area of the rectangle 2 1/4 1 1/2
Answer:
3 3/8
I converted the fractions in to decimals, multiplied them and then converted the decimal into a fraction.
Can someone help me with this question pls
Answer:1/6*1/6*1/6=1/216
Step-by-step explanation:
It’s worth 13 points thank you!
:)
Answer: the answer is the 3rd bubble:)
Step-by-step explanation:
Mr. Moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school. He puts m mechanical pencils in each bag. He puts twice as many regular pencils in each bag. What is the total number of pencils that Mr. Moretti gives to his students if he puts 3 mechanical pencils in each bag?M
Answer:
The total number of pencils that Mr. Moretti gives to his is 162.
Step-by-step explanation:
He puts 3 mechanincal pencils in each bag.
In each bag, there is also twice as many regular pencils, that is, 3*2 = 6 regular pencils.
So in each bag, 3 + 6 = 9 pencils.
What is the total number of pencils that Mr. Moretti gives to his students if he puts 3 mechanical pencils in each bag?
18 students, and each gets 9 pencils.
18*9 = 162
The total number of pencils that Mr. Moretti gives to his is 162.
Answer:
162 pencils
Step-by-step explanation:
i did the i ready lesson!
8.6 mi
18 mi
A) 53.2 mi?
C) 106.4 mi?
E) 212.8 mi?
B) 221 mi?
D) 110.5 mi?
Answer:
C
Step-by-step explanation:
Mr. Kramer bought his daughter a kitten for her birthday, so now he needs to buy cat food. First, he gets a 20-pound bag of dry cat food. Then, he finds a good deal on 3-ounce cans of wet cat food, so he buys 48 of them. How many pounds of cat food does Mr. Kramer get in all?
Answer: 29 lbs
Step-by-step explanation: If you do 48 times 3 you will get 144 and if you do 144 divided by 16 you will get 9 and if you do 9 plus 20 you will get 29 lbs in total.
The required pounds of cat food Mr. Kramer get in all is 9.
given that,
First, he gets a 20-pound bag of dry cat food.
Then, he finds a good deal on 3-ounce cans of wet cat food,
so he buys 48 of them.
It is to determine how many pounds of cat food Mr. Kramer get in all.
In mathematics, it deals with numbers of operations according to the statements.
In a can, there are 3 ounces of wet cat food.
1 can = 3 ounce
multiplying both sides by 48
48 can = 3 * 48 ounce
48 can = 144 ounce
1 pound = 16 ounce
1/16 pound = 1 ounce
multiplying both sides by 144 on both sides
144 / 16 pound = 144 ounce
9 pound = 144 ounce
Thus, the required pounds of cat food Mr. Kramer gets in all is 9.
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A bank loaned out $19,000, part of it at the rate of 7% per year and the rest at 15% per year. If the interest received i. 1 year totaled $2000, how much was loaned at 7%
Answer:
$28571.43 was loaned out.
Step-by-step explanation:
2000 x 100 / 7=28571.43
Answer:
$28571.43 was loaned.
this is because
2000 x 100 / 7
=28571.43
There are 130 people in a sport centre.
65 people use the gym.
51 people use the swimming pool.
44 people use the track.
15 people use the gym and the pool.
14 people use the pool and the track.
10 people use the gym and the track.
1 person uses all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they
do not use the swimming pool?
Answer:
1/13
Step-by-step explanation:
there are 10 people that use the gym and track and 10 is 1/13 of 130
1. Find the slope of the line in the graph
You are sending a package in the mail. The box is a cube
measuring 14 inches on all sides. How many cubic inches
is the package?
Answer: 2744
:)
Hope it’s right
The volume of a cube with a side length of 14 inches is 2744 cubic inches.
Side of the cube = 14 inches
What is the volume of a cube?The volume of a cube with side length a is a³.
So, the volume of a cube with a side length of 14=14³
The volume of a cube with a side length of 14=2744 cubic inches.
Hence, the volume of a cube with a side length of 14 inches is 2744 cubic inches.
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Nathan inherited $100,000 from a wealthy uncle and invested the money in an account that earns 4% interest compounded annually.
How much interest will this money earn if Nathan leaves it in the account for 10 years?
Charles invested $15,000 in stocks and bonds. He made a 12% profit on his stock investments and a 5% profit on his bond investments. If Charles's combined profits on both types of investments were $1,450, how much did he invest in stocks?
Answer:When you leave the interest in your
account or reinvest the money you earn on your
investments, the money you earn starts to earn
money too. Over time, the magic of
compounding works, allowing your money to
grow with dramatic results. The more time you
have to save, the less money you need to save
because of compounding. And the longer you
wait to start saving, the more you have to spend
to reach your goal. For example, let’s assume
that Maria’s savings grow by 5% a year. If she
starts to save $243 a month now, it will cost her
$58,320 to have $100,000 in twenty years. If
she waits 10 years to start saving, she will have to
save $644 a month for 10 years, and it will cost
her $77,280 to reach $100,000 in twenty years.
Step-by-step explanation:Hope this helps!!!!
Answer:
$10,000 invested into stocks
Step-by-step explanation:
What is the solution to the following equation? X +(-13) = -5. A. X= 18 B. X = 8 C. x -18 D. X = -8
x + (-13) = -5
x - 13 = -5
x = -5 + 13
x = 8
11 dived by 2=
Long divination pls help
Answer:
11/2 is 5 1/2 this is which is 5 remainer 1 if you are a lower grade. If not then the complete form is 5.5
Step-by-step explanation:
A fair cube has 2 blue sides, 2 red sides, and 2 green sides.
What is the probability of rolling a blue or red side?
A package delivery company experiences high variability in daily customer demand, which in turn results in high variability in the daily workload at the central sorting facility. The company relies on its sorting facility employees working overtime to provide on-time delivery when the workload demand is very high. A sorting facility employee receives a salary of $12/hour for a 40 hour week, and the employee receives $18/hour for every hour worked overtime, that is, for every hour worked over 40 hours in a given week. The number of overtime hours that an employee works in any given week is a random variable, with a mean of 15 hours and a standard deviation of 4 hours.
Required:
What are the mean, the standard deviation, and the variance of an employee's total weekly salary?
Solution :
Let :
X = number of overtime hours
S = total weekly salary
S = [tex]$12 \times 40 + 18 \times X$[/tex]
S = 480 + 18X
E(S) = [tex]$480 + 18 \times E(X)$[/tex]
[tex]$E(S) = 480 + 18 \times 15$[/tex]
= 750
Mean of S = 750
Var (S) = [tex]$18^2 \times Var(X)$[/tex]
Var(S) = [tex]$18^2 \times 4^2$[/tex]
= 5184
Variance of S = 5184
The standard deviation equals square root of 5184 = 72
A bouncy ball is dropped such that the height of its first bounce is 6.75
feet and each successive bounce is 68% of the previous bounce's
height. What would be the height of the 6th bounce of the ball? Round
to the nearest tenth (if necessary).
Step-by-step explanation:
0,4 ft
It can be convinient to let a spreedsheet compute the values for you
Here we have written an expiliclit formula for the height of the 9th bounce
H= 5.5 x 0.64'(n-1)
We have written the formuka this way beacause we are given the height of the firrrst bounce not the satrting height so as you see each bounce multiples the height by a factor of 0,64 then the 7th bounce will be
H= 5.5 x 0.64'6 = 0.378 = 0,4 feet
Hope it helpsAnswer: 1
Step-by-step explanation:
A roller coaster is being designed that starts at (0,22) and ends at (19,2),
Along the ride there is a relative minimum at (5,6) and a relative
maximum at (10,18). The roller coaster is almost finished but one
section is missing. Find the correct function that completes the roller
coaster so that the ride is smooth and continuous.
Answer:
The function is, f(x) = 6·sin((π/5)(x + 3π/2)) + 12
Step-by-step explanation:
The general form of equation of a roller coaster is given as follows;
y = A·sin(B(x - C)) + D
Where;
A = The amplitude = (18 - 6)/2 = 6
D = The vertical shift = 12
One revolution = 10 unit
∴2·π = 10 unit
Therefore, 10 = 2·π/B
B = 2·π/10
The phase shift = 3·π/2
Therefore, we have the function as follows;
f(x) = 6·sin(2·π/10(x + 3π/2)) + 12 = 6·sin((π/5)(x + 3π/2)) + 12
pls answer any that you can!!!
Answer:
12, 45, 1.8, -9, 18
Step-by-step explanation:
up up down down left right left right b a start
Please help me I will get you a thanks :-)
Answer:
A=32.5
Step-by-step explanation:
A=(4+9)*5/2
A=13*5/2
A=65/2
A=32.5
At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 68 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school?
Answer:
170
Step-by-step explanation:
PLEASE HELP
A family originally bought a home for $712,980. Now, a few years later, the home is
worth $1,180,627.70. What was the percent of increase in its value? (Round your answer to
the nearest whole number.)
Answer:
86
Step-by-step explanation:
z^m-n (z^m+ z^m+n + z^n)
Answer:Your left hand side evaluates to:
m+(−1)mn+(−1)m+(−1)mnp
and your right hand side evaluates to:
m+(−1)mn+(−1)m+np
After eliminating the common terms:
m+(−1)mn from both sides, we are left with showing:
(−1)m+(−1)mnp=(−1)m+np
If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:
(−1)(−1)mn=(−1)n.
It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:
(−1)(−1)mn=(−1)−n=1(−1)n
Multiplying both sides by (−1)n then yields:
1=(−1)2n=[(−1)n]2 which is always true, no matter what n is
The first term of an arithmetic sequence is -5, and the tenth term is 13.
Find the common difference.
2
1.8
8/9
Answer:
Step-by-step explanation:
Let d be the common difference.
a₁₀ = a₁ + (10-1)d
13 = -5 + 9d
d = 2
Given the system:
4x + 3y = -1
5x + 4y = 1
What is the solution to this system?
A. (-7,9)
B. (9,-7)
C. (-1,1)
D. (1,-1)
Answer:
A is the answer
Step-by-step explanation:
hope that helped
Which equation has a solution of 4? Select all that apply. A 12x = 3 C10 + x = 14 B 6x = 24 DX-4 = 8
Answer:
C and B
Step-by-step explanation:
A. 12x = 3, x =1/4
C. 10 + x = 14, x = 4
B. 6x = 24, x =4
D. x -4 = 8, x =12
Only the expression mentioned in B and C gives the solution as 4. Options B and C are correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
A
12x = 3
Simplifying the above expression,
12x = 3
x = 3 / 12
x = 1 / 4
Similarly simplifying all the expressions gives,
B. x = 4
C. x = 4
D. x = 12
Thus, only the expression mentioned in B and C gives the solution as 4. Options B and C are correct.
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