Answer:
17.65693585 = r
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
23047 = 4/3 (3.14) r^3
23047 = 4.1866666666 r^3
Divide by 4.186666 on each side
23047/4.18666666 = 4.1866666666/4.18666666 *r^3
5504.856688 = r^3
Take the cubed root on each side
(5504.856688)^1/3 = r^3^(1/3)
17.65693585 = r
Determinado automovel, apos sua compra, perde 10% do valor ano a ano nos 3 preimeiros anos. Calcule o valor do automovel ao final desse periodo sabendo que ele foi comprado por R$80.000
Answer:
The value of the car after 3 years is R$58.320.
O valor do carro ao final desse período é R$58.320.
Step-by-step explanation:
The value of the car after t years is given by the following equation:
[tex]V(t) = V(0)(1-r)^{t}[/tex]
In which V(0) is the initial value and r is the yearly depreciation rate.
In this question, we have that:
[tex]V(0) = 80000, r = 0.1[/tex]
So
[tex]V(t) = V(0)(1-r)^{t}[/tex]
[tex]V(t) = 80000(1-0.1)^{t}[/tex]
[tex]V(t) = 80000(0.9)^{t}[/tex]
Value of the car at the end of 3 years:
[tex]V(3) = 80000(0.9)^{3} = 58320[/tex]
The value of the car after 3 years is R$58.320.
O valor do carro ao final desse período é R$58.320.
5x to the power of 2 =25x to the power of 2
Answer:
1:5
Step-by-step explanation:
5x² = 25x²
Divide both sides by 5x²
5x²/5x² = 25x²/5x²
1:5
The distributive property can be applied to which expression to factor 12x3 – 9x2 + 4x – 3?
Answer:
3x2(4x – 3) + 1(4x – 3)
Step-by-step explanation:
2p^2+p-4=0
Can someone please help and show how you did it I am not understanding this thank you so much
See the attached picture:
A circle has centre (0, 0) and it passes through the point (5, -3)
Find the radius of the circle, in surd form.
Answer:
radius = [tex]\sqrt{34}[/tex]
Step-by-step explanation:
The radius r is the distance from the centre to a point on the circle.
Use the distance formula to calculate r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (5, - 3)
r = [tex]\sqrt{(5-0)^2+(- 3-0)^2}[/tex]
= [tex]\sqrt{5^2+(-3)^2}[/tex]
= [tex]\sqrt{25+9}[/tex]
= [tex]\sqrt{34}[/tex]
What is the coefficient in the following expression?
5a to the 2 power subtracted by 7
a)7
d)2
c)5
b)a
Answer:
c)5
Step-by-step explanation:
Coefficient is always the numerical value before the variable
I hope this helped and have a good rest of your day!
Mr. Williams paid $1,250 in cash for a new television set. If he had bought it using the store's payment plan, he would have had to pay a deposit of $350 and 9 monthly installments of $150. How much money did he save by paying in cash?
Answer:
$450
Step-by-step explanation:
Mr. william's paid $1250 in cash for a new television set. But if he was to use the store's deposit plan, he will have to make some installmental payment after paying an initial deposit.
Initial deposit = $350
Installmental payments of $150 for 9months.
His total payment will be = Initial payment + the total amount of the installmental payment.
$350 + (9 x $150) = $350 + 1350 = $1700
$1700 - $1250 = $450 savings
By paying in cash he will be saving an amount of $450.
Find the area of the shaded regions:
The pink is the shaded region
Answer: 5184.
Step-by-step explanation:
You do 72 x 72.
Hallie can use the equation p = 4l + 4w + 4h to determine the sum of the lengths of the edges of a rectangular prism. She begins to solve the equation for h but runs out of time. Her partial work is shown below: p = 4l + 4w + 4h 2. StartFraction p Over 4 EndFraction equals StartFraction 4 l plus 4 w plus 4 h Over 4. 3. StartFraction p Over 4 EndFraction equals l plus w plus h. = l + w + h h = 4. h equals StartFraction p Over 4 EndFraction minus blank. – Which expression should follow the subtraction in Hallie’s equation? (l + w) (l – w) left-parenthesis StartFraction l plus w Over 4 right-parenthesis. left-parenthesis StartFraction l plus w Over 4 EndFraction right-parenthesis.
Answer:
( l+w)
Step-by-step explanation:
just did the question
The expression to subtract from Hallie's equation is (l + w).
Option A is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
p = 4l + 4w + 4h
p/4 = (4l + 4w + 4h) / 4
p/4 = l + w + h
h = p/4 - (l + w)
Thus,
(l + w) is subtracted from the equation.
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Twelve-year-olds have heights that are normally distributed with a mean of heights of 57 inches and a standard deviation of 4.6 inches. what percent of 12-year-old boys will have heights less than 55 inches?
A) 33%
B) 37%
C) 42%
D) 49%
Answer:
A
Step-by-step explanation:
To calculate this, the first thing we need to do is to calculate the z-score
Mathematically,
z-score =( x - mean )/SD
according to the question, X = 55 inches, mean = 57 inches and SD = 4.6 inches
we plug these values into the equation
z-score =( 55-57)/4.6 = -2/4.6 = -0.4348
The required probability we are trying to calculate is;
P( z < -0.4348) or simply P(x<55)
To calculate this probability we use the standard score table
From the standard score table,
P( z < -0.4348) = 0.33186
In percentage this is 33.186%
To the nearest percentage, this is 33%
Which of the following probabilities is the greatest for a standard normal distribution?
P(-1.5 575-0.5)
P(-0.5 SZ30.5)
P(0.5 5731.5)
P(1.5 523 2.5)
Answer: it’s actually b for edge 2020
Step-by-step explanation:
The probabilities greatest for a standard normal distribution is
P(-0.5 SZ30.5) i.e. 38.2%
What is a standard normal Distribution ?A special normal distribution where the mean is 0 and the standard deviation is 1. It is also called the z-distribution .
For the data given in the question
P(-1.5 575-0.5)
P(-0.5 SZ30.5)
P(0.5 5731.5)
P(1.5 523 2.5)
[tex]P_{r} (-1.5 \leq z \leq 0.5) = 0.092 +0.15=0.242\\\\P_{r} (-0.5 \leq z \leq 0.5)= 0.191+0.191= 0.382\\\\P_{r} (0.5 \leq z \leq 1.5)= 0.15+0.092=0.242\\P_{r} (1.5 \leq z \leq 2.5)= 0.044+0.017=0.061[/tex]
From the given data the second data is the highest 0.382 , so the correct answer is P(-0.5 SZ30.5).
To know more about standard normal Distribution
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Find the arc length of major arc GH. Round your answer to the nearest tenth.
Answer:
42.1 cm
Step-by-step explanation:
The length of the arc is circumference of the circle - length of minor arc GH
circumference of circle = 2 * π * r = 2 * π * 9.1 = 18.2 π cm
The length of the minor arc = angle/360 * 2 * π * r
Now this is tricky, the angle is 360-265 = 95
The length of the minor arc = 95/360 * 2 * π * 9.1 = 4.80 π
Length of major arc = 18.2 π -4.8 π = 13.4 * π = 13.4 * 22/7 = 42.11cm
plzWegnerkolmp2741o helpme plzzzzzzzzzz
Answer:
y = -2 +sqrt(7)
y = -2 - sqrt(7)
Step-by-step explanation:
y^2 +4y +4 = 7
Factor, recognizing that this is the sum of squares
a^2 +2ab+b^2 = (a+b)^2
(y+2) ^2 = 7
Take the square root of each side
sqrt((y+2) ^2) =± sqrt(7)
y+2 = ± sqrt(7)
Subtract 2 from each side
y+2-2 = -2 ± sqrt(7)
y = -2 ± sqrt(7)
Answer:
C)
Step-by-step explanation:
-2+sqrt(7) ≈ 0.649
-2-sqrt(7) ≈ -4.646
each are x-intercepts
I need help guys . Anyone help me ?
Answer:
2:3
Step-by-step explanation:
15/25 are girls
10/25 are boys
10/25 to 15/25
2/5 : 3/5
2:3
The All-Clean Laundry Company washes towels for a nearby hotel. The function f(x) gives the number of loads required whenthere are x bins of towels to be washed. What does f(9) > 12 tell you?
Answer:
B. It takes more than 12 loads to wash 9 bins of towels.
Step-by-step explanation:
The function f(x) gives the number of loads
Where x= bins of towels
If f(9) > 12
Number of bins of towels =9; andNumber of Loads, f(x)>12Therefore, f(9) > 12 tells us that it takes more than 12 loads to wash 9 bins of towels.
The correct option is B.
please answer both questions!! will mark brainly
Answer:
m=2
mean is 13
Are human able to get super powers
Answer:
Humans have limited powers as, but most of us desire to gain the ability to have supernatural powers for fame and fortune. However, only with a radical mutation in the DNA can abilities and powers turn out in them.
Step-by-step explanation:
Please Help me. I provided 2 pictures.
Answer:
ya switch the the 1st one and the last one
Step-by-step explanation:
A cell phone and phone case cost $110 in total. The cell phone costs $100 more than the phone case. How much was the cell phone?
Answer:
105
Step-by-step explanation:
if both together cost $110
and the cell phone cost 100 more than the phone case, we need to find the cost for the phonecase
and it's 105
hope this helped:D
brainliest is appreciated if u want
Answer:
$105 r e
Step-by-step explanation:
There are 19 sweaters in a closet and some sweaters are in the dresser as well.If the total number of sweaters is 60,which of the following equations is correct?A.19 + s=60,B.19× s=60,C.19÷s=60,D.60÷s=19
Answer:
A
Step-by-step explanation:
Ellie bought two pairs of shoes during a BOGO (Buy One, Get One) sale. She received a 20% discount on the second pair of shoes. The regular price of each pair of shoes was $49.99. How much did Ellie pay for the two pairs of shoes, excluding tax?
Answer:
89.98
Step-by-step explanation:
49.99 x 20% = 9.998
So, 20% of 49.99 is 10.
49.99 - 10 = 39.99 To get the Total of the discounted item.
49.99 + 39.99 = 89.98 Add final totals to get answer
Linda earns $5.25 and spent $3.75 one week the next week she earned $4.40 and spent $2.25 how much money did Linda have left after these two weeks
Total what she made.
5.25 + 4.40 = 9.65
Total what she spent:
3.75 + 2.25 = 6.00
Subra to the amount spent from the amount earned:
9.65 -6.00 = 3.65
She has $3.65 left
Y=X-2
-X+Y=10
A)Parallel
B)neither
C)perpendicular
Answer:]]
The slope of these two linear equations is the same so the would be Parallel.
y = mX + B where m is the slope.
In this case the slope is 1 for both equations.
y = x -2
y = x + 10
They would be exactly 12 units apart too.
Step-by-step explanation:
Simplify (√3 − √7)^2
Answer: 10 - 2√21
Step-by-step explanation: I simplified your question by using an online calculator. :)
The daily low temperature in Guangzhou, China Varies over time in a periodic way that can be modeled by a trigonometric function. The period of change is exactly one year. the temperature peaks around July 26 at 78°F and has its minimum half a year later at 49°F. assuming a year is exactly 365 days July 26 is 206/365 of a year after January 1. Find the formula of the trigonometric function that models the daily low temperature T in Guangzhou t years after January 1, 2015 defined the function using radians
Answer:
T(t) = 14.5cos(2π(t -206/365)) +63.5
Step-by-step explanation:
The function can be written as ...
T = A·cos(2π(t -206/365)) +B
where A is half the difference of the high and low temperature values, and B is the average of the high and low temperature values.
A = (78-49)/2 = 29/2 = 14.5
B = (78 +49)/2 = 127/2 = 63.5
The value 206/365 is the horizontal right shift of the peak of the function. That makes the peak occur on July 26, as required.
Filling in these values gives us the function ...
T(t) = 14.5cos(2π(t -206/365)) +63.5
I don’t understand this question please help
Answer:
Between 3² and 4⁴
Between 3 and 4
Step-by-step explanation:
Number 15 is between between 3² and 4⁴
While √15 = 3.8 72 is between 3 and 4.
The table below shows the relationship between the number of miles traveled and the number of gallons of gas used. Which of the following statements best represents the relationship
A. The nu,ber of miles is the dependent quantity and the number of gallons os the dependent quantity
B. The number of miles and the number of gallons are both dependent quantities.
C. The number of gallons and the of miles are both independent quantities.
D. The number of miles is the independent quantity and the number of gallons is the independent quantity.
plz help
Answer:
Number of miles = dependent variable
Number of gallons used = independent variable
Step-by-step explanation:
In order for the driver to see how many miles the car can run, they must first see how many gallons of gas they have in the car. The number of miles depend on the number of gallons used. So, your answer would be letter choice A.
The statement which best represents the relationship is that, the number of miles is the dependent quantity and the number of gallons is the independent quantity.
What are Dependent and Independent Variables?Dependent variable are variables which depends on another variable to take it's value.
Independent variables are those which does not depend on other variables.
Given is a table which represents the number of miles travelled and the number of gallons of gas used.
From the table, if x represents the number of gallons of gas used and y represents the number of miles travelled, then the equation can be written as,
y = 35x
It is clear that, the value of y depends on the value of x.
So, x is the independent variable and y is the dependent variable.
That is, number of gallons of gas used is the independent variable and number of miles travelled is the dependent variable.
Hence the number of miles is the dependent quantity and the number of gallons is the independent quantity.
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At a cafe, the Bishop family pays $12 for a salad, a fruit bowl, and two sandwiches. The Cortez family pays $14 for two salads
and two sandwiches The Donovan family pays $14 for a salad and three fruit bowls What is the price of a fruit bowl at the
cafe?
Answer: The price of a fruit bowl at the cafe is $3
Step-by-step explanation:
$3 in the price of a Fruit bowl at the cafe.
What is the price of a fruit bowl at the cafe?
According to the given In the question,
Let,
price of a Salad = Sl
price of a fruit bowl = Fb
Fb price of a sandwich = Sd
Sl + Fb+sd=$12 ..1
2 SI + 2 Sd = $14 ..2
Sl + 3Pb Fb = $14 ..3
from equation 2
Sl = 7 - Sd
from equation 3
7 - Sd + 3Fb = 14
Sd = 3Fb - 7
from equation 1
14- 3Fb+Fb+ 2(3Fb-7)=12
14- 2 Pb +6Fb-14=12
4Fb = 12
Fb = 3
Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
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which number is greater 5 or 1
Answer:
5
Step-by-step explanation:
5 is greater than 1 because it is further to the right from zero on the number line
Answer:
5 because 5 is a bigger number than 1.
Step-by-step explanation:
5 is bigger by for an example if you have 5 apples vs 1 apple.
5 apples is more right.
compound interest: if 1000$ is compounded continuously at 3% interest, how much money will you have in 5 years? (use the growth formula y=Ce exponent of kt)
Answer:
The money you will have in 5 years: 1000 x (1 + 3/100)^5 = 1159.27$
Hope this helps!
:)
