Answer:
288π inch³
Step-by-step explanation:
V=4
/3πr³
by substituding in formulae
4/3*216π
=288π inch³
hope this helps
plzz mark me brainliest
228000(1.03) exponential or decay
Answer:
growth
Step-by-step explanation:
Which equations has -6minus as a possible value of a?
Answer:
Perimetrul triunghiului ABC este egam cu 36 cm, iar AB = 15 cm si AC = 13 cm. Lungimea segmentului BC = cu...
Step-by-step explanation:
The ratio of Mark’s age to Reeta’s age is 3 : 5 Mark’s age is 24 years. Work out Reeta's age.
The ratio of Reeta's age and Site's age is 3:5 and the sum of their ages is 80 years. The ratio of their ages after 10 years will be
Mike took clothes to the cleaners three times last month. First, he brought 4 shirts and 1 pair of slacks and paid $15.95. Then he brought 7 shirts, 4 pairs of slacks, and 1 sports coat and paid $49.38. Finally, he brought 3 shirts and 1 sports coat and paid $15.46. How much was he charged for each shirt, each pair of slacks, and each sports coat? Mike was charged $ nothing for each shirt, $ nothing for each pair of slacks, and $ nothing for each sports coat.
Answer:
Each Shirt ≈ $2.49
Each Pair of Slacks ≈ $5.99
Each Sports Coat ≈ $7.99
Step-by-step explanation:
Mike took clothes to the cleaners three times last month.
Let S denotes shirts, P denotes pair of slacks and C denotes sports coat.
First, he brought 4 shirts and 1 pair of slacks and paid $15.95.
Mathematically,
4S + P = 15.95 eq. 1
Then he brought 7 shirts, 4 pairs of slacks, and 1 sports coat and paid $49.38.
Mathematically,
7S + 4P + C = 49.38 eq. 2
Finally, he brought 3 shirts and 1 sports coat and paid $15.46.
Mathematically,
3S + C = 15.46 eq. 3
We are asked to find how much was he was charged for each shirt, each pair of slacks, and each sports coat.
4S + P + 0C = 15.95 eq. 1
7S + 4P + C = 49.38 eq. 2
3S + 0P + C = 15.46 eq. 3
We have 3 equations and 3 unknowns, they can be solved simultaneously using calculator or using online system of equations solver.
Using online system of equations solver yields,
S ≈ $2.49
P ≈ $5.99
C ≈ $7.99
So that means Mike was charge $2.49 for each shirt, $5.99 for each pair of slacks and $7.99 for each sports coat.
A general rule-of-thumb for used car dealers is that the trade-in value of a car decreases by 30%
each year. How much will a $25,000 car be worth in 6 years?
Answer:
-$20,000
Step-by-step explanation:
30% of $25,000 is $7,500 Therefore..
$7,500 x 6 = $45,000 ( 6 being the years )
$45,000 - $25,000 = $20,000
Hope this helps.
-Conrad
NEED YOUR HELP ASAP!!!!
Answer:
One blue square equals 4.2 grams
Step-by-step explanation:
If the triangle is equal to three of the blue squares then you would have to divide the triangles value by three to get the squares value.
12.6/3 = 4.2
Answer:
dont braly me do it for him
Step-by-step explanation:
Adding 5+8+2 can be accomplished by
Answer:
8+5=13
13+2=15
your answer is 15
You have to add : )
Step-by-step explanation:
Hope this helps : )
in triangleABC the side lengths are b=13, ac=21 and bc=x. write a compound inequality the represents the range of possible values for x
Answer:
8 < x < 34
Step-by-step explanation:
ab = 13, ac = 21, bc = x
The longest side of a triangle must be less than the sum of the other two sides.
If 21 is the longest side:
21 < 13 + x
8 < x
If x is the longest side:
x < 13 + 21
x < 34
Therefore, 8 < x < 34.
William and Stephanie are painting the bedrooms in their house. If he had to paint the bedrooms himself, it would take William four hours to complete the job. If Stephanie alone were to paint the bedrooms, it would take her six hours.
Working together, how long will it take William and Stephanie to paint the bedrooms?
William can do 1/4 of the job every hour by himself.
Stephanie can do 1/6 of the job every hour by herself.
If they don't distract each other while working together, they can do (1/4 + 1/6) of the job every hour.
That's (3/12 + 2/12) = 5/12 job per hour working together.
The complete job will take them (12/5) hour .
That's 2-2/5 hours, or 2 hours 24 minutes.
They both can do the painting in 2hours 24 minutes by solving the fraction.
What is a fraction?
It is a combination of numerator and denominator. It is always in decimal
if solved properly.
How to calculate time?William can do 1/4 of the job every hour himself. Stephanie can do 1/6 of the job every hour herself, they can do (1/4 + 1/6) of the job every hour.
That's (3/12 + 2/12) = 5/12 job per hour working together.
The complete job will take them (12/5) hour .
or 2 hours 24 minutes.
Learn more about fraction at https://brainly.com/question/78672
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The intercept of line 3x-5y-15=0 is
Answer:
The y-intercept should be 3
two solutions of salt water contain 0.1% and 0.22% salt respectively. A lab technician wants to make 1 liter of solution which contains 0.19% salt. How much of each solution should she use?
Answer:
0.25 L at 0.1% and 0.75 L at 0.22%
Step-by-step explanation:
We have to:
percent quantity
Salt solution # 1 0.1 x L
Salt solution # 2 0.22 (1 - x) L
Mixture 0.19% 1
We are left with the following equation:
0.1 * x + 0.22 * (1-x) = 0.19 * 1
solving:
0.1 * x + 0.22-0.22 * x = 0.19
0.1 * x- 0.22 * x = 0.19 - 0.22
-0.12 * x = -0.03
x = -0.03 / -0.12
x = 0.25
Which means
Salt solution # 1 0.1% 0.25 L should be used and for salt solution # 2 0.22% 0-75 (1 - 0.25) L
Una pregunta porque ella no me ama ? :,v
Answer: Porque no te merecen
Step-by-step explanation:
x^2- 20x + y^2 - 10y+25=0
Identify the value of the radius and center is the circle
Answer:
Center = (10, 5)
Radius = 10
Step-by-step explanation:
Look at the picture
Ruth has 12 feet of ribbon.
She uses 7 feet of it for a craft project and gives 28 inches of it to her sister.
How many inches of ribbon does she have left?
Enter your answer in the box.
Answer:
See I don't know the answer but I did another one like this if it doesn't help you can report it no problem
Step-by-step explanation:
There are 2 different ways you can solve this problem and you'll get the same answer.
To help you visualize what you have to do, it might be easiest to translate your problem to a unit that easier to use.
Since you only have a ribbon 5 feet long, but you must cut it into 6 pieces, you know it won't even be 1 foot long.
One way to solve the problem would be to translate your 5-foot ribbon into a ribbon divided into inches.
1 foot = 12 inches
To find out how many inches long your ribbon is, you'll need to multiply the number of feet by 12.
Once you know that, then you can more easily divide it by 6. This will tell you how many inches each ribbon is.
Careful! the answer is to be put into feet so once you know how many inches long the ribbon is, you must then divide by 12 to get the correct answer in feet. Don't forget to round to the nearest tenth.
Another way to solve the problem is to simply divide the 5 feet by the number 6 and then round your number to the nearest tenth. It may be harder to visualize the answer this way, but you will get the same answer as if you translated your ribbon into inches and then divided by 12.
Good luck! I hope this helps!
What is the value of x in the equation 2(x-3)+9=3(x+1)+x?
O x= -3
O x= -1
O x = 0
O x= 3
Answer:
x = 0
Step-by-step explanation:
2(x-3)+9=3(x+1)+x . . . . given equation
2x -6 +9 = 3x +3 +x . . . . eliminate parentheses
2x +3 = 4x +3 . . . . . . . . collect terms
0 = 2x . . . . . . . . . . . . . . subtract (2x +3)
x = 0 . . . . . . . . . . . . divide by 2
Answer:
[tex]x = 0[/tex]
Third answer is correct.
Step-by-step explanation:
[tex]2(x - 3) + 9 = 3(x + 1) + x \\ 2x - 6 + 9 = 3x + 3 + x \\ 2x - 3x - x = 6 - 9 + 3 \\ - 2x = 0 \\ \frac{ - 2x}{2} = \frac{0}{2} \\ x = 0[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
help please!!! screenshot
In the diagram below, RSTU is a rectangle, and the two shaded regions are squares.
If the length of SR is 4 m and the length of ST is 8 m, what is the length of PQ in meters?
Answer:
length PQ = 8.9 m
Step-by-step explanation:
The picture below completes the question you asked. From the picture above RSTU is a rectangle . The two shaded square has a length of sides 8 m and 4 m respectively. The legs of the triangle is the sides of the 2 squares. Therefore, the triangle is a right angle triangle. The adjacent side is 4 m while the opposite side is 8 m.
Using Pythagoras theorem the hypotenuse of the triangle can be calculated below.
Pythagoras theorem
c² = a² + b² Therefore,
c² = 4² + 8²
c² = 16 + 64
c² = 80
square root both sides
c = √80
c = 8.94427191
c ≈ 8.9 m
length PQ = 8.9 m
Answer this one please
Answer:
volume is 6.72
width is 1.6
Step-by-step explanation:
The probabilty of being born a male is 0.466. The probabilty of being born in north america is 0.153846. The probabilty of being born in an urban location is 0.3571428. Find the exact probabilty that a baby will be born a male, in North America, in an urban location
Answer:0.0256
Step-by-step explanation:
Given
Probability of being a male is [tex]P_1=0.466[/tex]
Probability of being born in america is [tex]P_2=0.153846[/tex]
Probabilty of being born in an urban location is [tex]P_3=0.3571428[/tex]
So probabilty of that a baby will be born a male,in North america, in an urban area=P
Since, [tex]P_1, P_2, P_3[/tex] are independent of each other therefore
[tex]P=P_1\times P_2\times P_3[/tex]
[tex]P=(0.466)\times (0.153846)\times (0.3571428)[/tex]
[tex]P=0.02560[/tex]
I WILL MARK AS BRANLIEST
65 POINTS!
Solve the system of equations using subtraction.
{y=x+4
{y=2x+4
Answer:
x=0, y=4
(0,4)
Step-by-step explanation:
y=x+4
y=2x+4
The directions say substitution not subtraction
Set the two equations equal to each other
x+4 = 2x+4
Subtract x from each side
x+4-x = 2x+4-x
4 = x+4
Subtract 4 from each side
4-4 =x+4-4
0 =x
Now find y
y = x+4
y = 0+4
y = 4
Answer:
(0, 4)
Step-by-step explanation:
Our two equations are:
y = x + 4
y = 2x + 4
We need to use substitution, so let's substitute x + 4 in for y in the second equation:
y = 2x + 4
x + 4 = 2x + 4
x = 0
Plug this value back into one of the equations to solve for y:
y = x + 4
y = 0 + 4 = 4
Thus, the answer is (0, 4).
Find the area of ABC if area of Triangle formed by joining midpoint of the sides
is 25 sq units
Answer: Wait so the sides are both 25 squares?
Step-by-step explanation:
In the past month, Rafael rented 4 video games and 1 DVD. The rental price for each video game was $2.30. The rental price for the DVD was $3.30 . What is the total amount that Rafael spent on video game and DVD rentals in the past month?
Answer:
$12.50
Step-by-step explanation:
(2,30*4)+3.30
9.20+3.30=12.50
A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet yields a higher mean weight loss than the powder diet. The powder diet group had a mean weight loss of 42 pounds with a standard deviation of 12 pounds. The liquid diet group had a mean weight loss of 45 pounds with a standard deviation of 14 pounds.
Answer:
There is not enough evidence to support the claim that the liquid diet yields a higher mean weight loss than the powder diet (P-value = 0.15).
Step-by-step explanation:
This is a hypothesis test for the difference between populations means.
The claim is that the liquid diet yields a higher mean weight loss than the powder diet.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2< 0[/tex]
The significance level is 0.05.
The sample 1 (powder diet group), of size n1=49 has a mean of 42 and a standard deviation of 12.
The sample 2 (liquid diet group), of size n2=36 has a mean of 45 and a standard deviation of 14.
The difference between sample means is Md=-3.
[tex]M_d=M_1-M_2=42-45=-3[/tex]
The estimated standard error of the difference between means is computed using the formula:
[tex]s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{12^2}{49}+\dfrac{14^2}{36}}\\\\\\s_{M_d}=\sqrt{2.939+5.444}=\sqrt{8.383}=2.895[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{-3-0}{2.895}=\dfrac{-3}{2.895}=-1.04[/tex]
The degrees of freedom for this test are:
[tex]df=n_1+n_2-1=49+36-2=83[/tex]
This test is a left-tailed test, with 83 degrees of freedom and t=-1.04, so the P-value for this test is calculated as (using a t-table):
[tex]\text{P-value}=P(t<-1.04)=0.15[/tex]
As the P-value (0.15) is greater than the significance level (0.05), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the liquid diet yields a higher mean weight loss than the powder diet.
You have $4000 to invest. If you'd like to earn exactly $638
in interest each year, how much should you invest in each of
two accounts, one that earns 8% per year and one that
earns 21% per year. (Round your answer to the nearest
dollar)
8%: $
21%: $
Answer:
8%: $1554
21%: $2446
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex].
In this question:
Two earnings, that i am going to call A(8% per year) and B(21% per year).
Two principals, for A i am going to call P and for B it is the rest, so 4000 - P.
A:
One year, so [tex]t = 1[/tex]
8% interest, so [tex]r = 0.08[/tex]
Earnings A.
[tex]A = P*I*t[/tex]
[tex]A = 0.08P[/tex]
B:
21% interest, so [tex]r = 0.21[/tex]
Principal (4000 - P).
[tex]B = P*I*t[/tex]
[tex]B = 0.21*(4000 - P)[/tex]
You'd like to earn exactly $638 in interest each year.
This means that [tex]A + B = 638[/tex]
Then
[tex]B = 638 - A[/tex]
Now we have to solve the following system:
[tex]A = 0.08P[/tex]
[tex]638 - A = 0.21*(4000 - P)[/tex]
So, on the second equation:
[tex]A = 638 - 0.21*(4000 - P)[/tex]
Replacing on the first:
[tex]A = 0.08P[/tex]
[tex]638 - 0.21*(4000 - P) = 0.08P[/tex]
[tex]638 - 840 + 0.21P = 0.08P[/tex]
[tex]0.21P - 0.08P = 840 - 638[/tex]
[tex]0.13P = 202[/tex]
[tex]P = \frac{202}{0.13}[/tex]
[tex]P = 1553.8[/tex]
Rounding up to the nearest integer
P = 1554.
So on A, the 8% interest, you invest $1554.
On B, the 21% interest, you invest 4000 - 1554 = $2446.
Sqrt(1-costheta)(1+costheta)
Answer:
sinθ
Step-by-step explanation:
[tex]\sqrt{1-cos^{2}x }[/tex]
[tex]\sqrt{sin^{2}x }[/tex]
sinx
(replace x with theta)
Why can't you use the product of powers rule to simplify
this expression? Explain.
3^4 * 2^8
Answer:
Both expressions have different base.
Step-by-step explanation:
Product rule can only be use for the similar bases. For example 2² × 2⁴ have the same base.
For this question, 3⁴ × 2⁸ have different bases which is 3 and 2.
The graphed line shown below is y=-3x+6
-2 -1
Which equation, when graphed with the given equation, will form a system that has no solution?
Step-by-step explanation:
right option
...............
Which of the following is equal to sin(0)?
Answer:
i think C
Step-by-step explanation:
NOT SURE THO :)
rate of change for (5, 7.5) and (6,9)
Answer:
Your rate of change is [tex]\frac{3}{2}[/tex].
Step-by-step explanation:
Well, all you have to do is subtract the points.
[tex]\frac{changeiny}{changeinx} \\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\frac{9-7.5}{6-5}\\\\\frac{1.5}{1}[/tex]
This is also know as the rate of change of [tex]\frac{3}{2}[/tex].
Which is the simplified form of -7+5-12?
Answer:
[tex] - 14[/tex]
Step-by-step explanation:
[tex] - 7 + 5 - 12 \\ ( - 7 + 5) - 12 \\ - 2 - 12 \\ = - 14[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
So the right answer is -14.
Look at the attached picture
Hope it will help you
Good luck on your assignment