The volume πr^2*height/3=1471
π*r^2=1471/9*3
π*r^2=490.33(I'm rounding all my numbers to the hundredths digit)
r^2=490.33/3.14(taking 3.14 for pi)=about 156.16
r= sqrt 156.16=about 12.5
Again this answer is not precise but I rounded everything to the hundredths digit because pi is never ending. I hope it helped!
On Mars, 3 bags of MartianMallows cost 24 space rocks. If each bag contains 10 MartianMallows, how many space rocks does four MartianMallows cost? Express your answer as an improper fraction.
Answer:
16/5
Step-by-step explanation:
If each bag contains 10 MartianMallows, then 3 bags contain (3)(10)=30 MartianMallows. Since we know that the cost of 30 MartianMallows is 24 space rocks, we can set up the proportion 24/30=s/4, where s is the cost of four MartianMallows. Solving for s, we find that s=24/30*(4)={16/5 space rocks.
Answer:
16/5
Step-by-step explanation:
If each bag contains 10 MartianMallows, then 3 bags contain (3)(10)=30 MartianMallows. Since we know that the cost of 30 MartianMallows is 24 space rocks, we can set up the proportion 24/30}= s/4, where s is the cost of four MartianMallows.
Solving for s, we find that s=(24/30)x4= 16/5 space rocks.
16/5
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 0,1, and 1+i
Answer:
[tex]f(x)=x(x-1)(x^2-2x+2)[/tex]
Step-by-step explanation:
The standard polynomial is given by:
[tex]f(x)=a(x-p)(x-q)...[/tex]
Where a is the leading coefficient and p and q are the zeros.
We are given that the zeros are x = 0, 1, and 1 + i.
First, by the Complex Root Theorem, if 1 + i is a zero, then 1 - i must also be a zero.
Therefore:
[tex]f(x)=1(x-(0))(x-(1))(x-(1+i))(x-(1-i))[/tex]
Simplify:
[tex]f(x)=x(x-1)(x-(1+i))(x-(1-i))[/tex]
Expand the third and fourth factors:
[tex](x-(1+i))(x-(1-i))=(x-(1+i))(x)-(x-(1+i))(1-i)[/tex]
Distribute:
[tex]=x^2-x-ix-(x(1-i)-(1+i)(1-i))[/tex]
Expand:
[tex]=x^2-x-ix-x+ix+(1-i+i-i^2)[/tex]
Therefore:
[tex]=x^2-2x+(2)=x^2-2x+2[/tex]
Hence, our polynomial function is:
[tex]f(x)=x(x-1)(x^2-2x+2)[/tex]
If you split the clock, which is a 360 degree circle into 10- minute intervals, what is the central angle of each interval?
Answer:
Since 15 mins are 90 degrees
10 mins are 60 degrees
5.6 x N= 2.24 N=? Please help
Answer:
N = -3.36
Step-by-step explanation:
5.6 x N= 2.24
-5.6 -5.6
N= -3.36
Answer:
N= 0.4
Step-by-step explanation:
5.6 x N= 2.24
Divide both sides by 5.6
5.6 and 5.6 cancel out
2.24/5.6= 0.4
Check your work
5.6 x 0.4 =2.24
0.4 is correct
Hope this helps ^-^
James has $25 to spend at the concession stand. He buys nachos for $8.50, a soda for $2.50 and some Sour Straws for $1.25 each. How many Sour Straws can James purchase with the money he has?
A. 1.25x + 11 > 25
B. 1.25x + 11 < 25
C. 11x + 1.25 > 25
D. 1.25x + 11 < 25
E. 11x + 1.25 > 25
F. 25x - 1.25 > 11
(GIVING BRAINLIYEST)
8. what is the volume of these 5 objects
a= 224in^3
b= 240in^3
2. 144ft^3
3. 135in^3
4. l=4
w= 3
h=3
A= 36in³
[tex]express each ratio in its simplest form \: 18hours to 2day
Answer:
Step-by-step explanation:
18 hours : 48 hours = 3:8
Decide if the following is a true or false statement - explain how you know
(- 1/2) - (4.25) is positive
Answer:
False
Step-by-step explanation:
The equation equals -1/2 - 4.25 which is -4.75, which is negative.
Hope that helps!
HELP PLS THANKS :)))
ans of these is 180
Step-by-step explanation:
abckdkkdkekekekekeoe
Answer:
Step-by-step explanation:
Hollllaaaa
g A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized. where traffic flow in vehicles per hour vehicle speed in miles per hour The following data were collected during rush hour for six highways leading out of the city. Traffic Flow () Vehicle Speed () 1257 36 1329 45 1227 30 1336 50 1349 55 1124 25 a. Use the data to compute the coefficients of this estimated regression equation (to decimals). Enter negative value as negative number. (Create the variable first using Data/Transform
Answer:
ŷ = 0.1286X - 123.2175 ;
r = 0.947
r² = 0.896
Step-by-step explanation:
Given the data:
Traffic Flow, X : ____Vehicke speed ;Y()
1257 ______________36
1329 ______________45
1227 ______________30
1336 ______________50
1349 ______________55
1124 ______________ 25
The estimated regression equation using a linear regression calculator based on the data given above is given thus:
ŷ = 0.1286X - 123.2175
Where ;
y = dependent variable (vehicle speed)
x = predictor variable (traffic flow)
Slope = 0.1286
Intercept = 123.2175
The correlation Coefficient, R, obtained using the correlation Coefficient calculator is 0.9465, This depicts a very strong positive relationship between traffic flow and vehicle speed.
The Coefficient of determination, R² which is the squared value of the correlation Coefficient = 0.9465² = 0.8958 gives the proportion of explained variance ; This means about 89.5% of variation in Vehicle speed can be explained by the regression line.
The first term of a gemotetric sequence is -15 and the common ratio is 6 What is the twelfth term of the sequence
Answer:
Step-by-step explanation:
a₁₂ = a₁r¹²⁻¹ = -15×6¹¹
Dakota and his brother mowed yards to earn money over the summer. Together they made $312. If they split the money they made, how much money will each boy get?
Answer: $156
Step-by-step explanation: 312 divided by 2 = 156
simplificati raportul algebric
Answer:
F euuehejuehehheeeuzkvr
Answer:
what is the number
Step-by-step explanation:
i dontvno the answer beacause it is blurred
Polydactyl cats are cats with extra toes. A researcher believes that the proportion of the population of polydactyl cats in region A is greater than the proportion in region B. Let pB represent the population proportion of polydactyl cats in region A, and let pB represent the population proportion of polydactyl cats in region B. Which of the following are the appropriate hypotheses to test the researchers belief?
A. H0 : PA - PB = 0
Ha : PA is not equal to 0.
B. H0 : PA - PB = 0
Ha : PA - P > = 0
C. H0 : PA - PB = 0
Ha : PA - 0 < 0
D. H0 : P^a - P^b = 0
Ha : P^a - P^b is not equal to 0
E. H0 : P^a - P^b = 0
Ha : P^a - P^b > = 0
Answer:
B.
H0 : PA - PB = 0
Ha : PA - PB > = 0
Step-by-step explanation:
The Null hypothesis refers to the initial truth in which of there is no significant evidence provided by statistical analysis will remain ; else, the alternative hypothesis which is the opposite of the Null will be favored in place of the Null.
In the scenario above, the claim by the researcher, that "the proportion of the population of polydactyl cats in region A is greater than the proportion in region B." is the Alternative hypothesis ; Ha : PA - PB > = 0 while the Null will be of the notion that the proportion of polydactyl cats in region A and region B are the same.
HURRYYY PLEASE AND THANK YOUUMrs. Green wants to make some toys for a store. She starts
working at 8 AM and stops at 12 PM everyday. The store needs
120 toys and requires Mrs. Green to make them in three days.
What must be her average rate of toys made per hour?
toys/hour
I
I
Enter the answer
Answer:
10 per hour
Step-by-step explanation:
Answer: 75
Step-by-step explanation:
Tell me if it’s wrong or not
write a real-world problem given the equation 2/3x = 12. Then solve the equation.
please answer it quickly 15 points
Answer:
x = 1/18
Step-by-step explanation:
2/3x = 12
multiply both sides by 3x
2/3x(3x) = 12(3x)
2 = 36x
x = 1/18
Will mark Brainlyist help me fill out the chart
Answer:
The working is done in the image attached.
an anthill has a volume of 8792mm^3 of dirt. its radius is 20 mm. what is the height of the cone? explain how you found the height.
Answer:
Height, h = 21 millimeters.
Step-by-step explanation:
Given the following data;
Volume = 8792mm³
Radius = 20 mm
To find the height;
We know that the shape of an anthill is conical in nature.
Mathematically, the volume of a cone is given by the formula;
[tex] V = \frac{1}{3} \pi r^{2}h[/tex]
Where;
V is the volume of the cone.r is the radius of the base of the cone.h is the height of the cone.Substituting into the equation, we have;
[tex] 8792 = \frac{1}{3} * 3.142*20^{2}*h [/tex]
[tex] 8792 = \frac{1}{3} * 3.142*400*h [/tex]
[tex] 8792 = \frac{1}{3} * 1256.8*h [/tex]
[tex] 8792 = 418.93*h [/tex]
[tex] Height, h = \frac {8792}{418.93}[/tex]
Height, h = 20.99 ≈ 21 mm.
Therefore, the height of the cone is 21 millimeters.
Sakima is making cookies for a bake sale. He needs to make 20 dozen cookies. For each dozen, he needs 4 ounces of nuts. How many pounds of nuts should he buy?
A. 1 3/5 lb
B. 1/4 lb
C. 2 lb
D. 80 lb
E. 5 lb
Answer:
5
Step-by-step explanation:
20÷4=5
Dave has $70 saved and earns $20
each month in allowance. Terri has
$110 saved and earns $16 a month
in allowance. If they both save their
entire allowances, how long will it
take before Dave and Terri have saved
the same amount of money?
Answer:
10 months
Step-by-step explanation:
Please let me know if you want me to write an explanation for my answer :)
What is the simplest form of the expression?
✓4502 +502 + 425
Assume all variables are positive.
Answer:
A. [tex] 8x\sqrt{5} [/tex]
Step-by-step explanation:
Given:
[tex] \sqrt{45x^2} + \sqrt{5x^2} + 4x\sqrt{5} [/tex]
Required:
Simplify
[tex] \sqrt{9*5*x^2} + \sqrt{5*x^2} + 4x\sqrt{5} [/tex]
[tex] 3x\sqrt{5} + x\sqrt{5} + 4x\sqrt{5} [/tex]
Add like terms
[tex] 8x\sqrt{5} [/tex]
I need help please.
Answer:
Not a function.
Step-by-step explanation:
The vertical line test is when you run a line -vertical or AKA: up and down- through the path of a graph if the line runs through the path more than once, it has failed the vertical line test, and therefore is not a function. The graph in question fails this test, and cannot be a function.
which expression represents the product of 83 and x
83+x
83÷x
83x
83-x
In a scale drawing of a rectangular garden,
the length is 15 inches and the width is
9 inches. In the drawing, 2 inches represents
3 yards. What is the width of the actual
garden, in yards?
Answer:
width is 13.5 yards
Step-by-step explanation:
2" / 3 yds = 9" / 'x' yards
cross-multiply:
2x = 27
x = 13 1/2 yards
Question 3 (2 points) (06.01) What is the value of the expression 24 + 32? (2 points) Blank 1:
The answer is 56....
hope it helps.
25 would be the answer. Here's what you need to do!! :)
-
-
-
Explanation:
I think you meant [tex]2^{4}[/tex] and [tex]3^{2}[/tex]. With exponents, you don't add the number and the exponent. What you have to do is the first number times itself, and let's use number one as an example. So, since it's four you have to do this.
-
-
[tex]2^4[/tex]= 2 x 2 x 2 x 2= 16
and for problem number two, it's the same thing but different numbers.
[tex]3^{2}[/tex]= 3 x 3 x 3= 9
-
-
now, all you have to do is add [tex]16+9= 25[/tex]
Again, the answer is 25. Hope this helps anybody who's currently working on this!! <3
16/20 – 1/4 =
I need help please thank you
Answer:
11 / 20
Step-by-step explanation:
16 / 20 - 1×5 / 4×5
16 / 20 - 5 / 20
16 - 5 / 20
= 11 / 20
1. A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000. What was the growth rate as a percent for that 5-year period?
Pls help
A. 6.48%
B. 3.34%
C. 5.23%
D. 2.15%
Answer:
The growth rate for the period was of 17.86%.
Step-by-step explanation:
To find the growth rate as a percent, we multiply the change by 100, and divide by the initial value.
A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000.
Change: 132 - 112 = 20
Initial value: 112
Growth rate as a percent:
20*100/112 = 17.86%
The growth rate for the period was of 17.86%.
Answer:b
Step-by-step explanation:
SOLVING THE SYSTEM BY ELIMINATION
Answer:
y=4,x=1
pink box- 10x+2y=18
Step-by-step explanation:
(5x+y =9)2
10x-7y=-18
10x+2y=18
10x-7y=-18
9y=36
y=4
x=1
if my answer helps please mark as brainliest.
Answer:
Pink box: 10x+2y=18
Solution: x=1, y=4
Step-by-step explanation:
2(5x+y=9)
10x-7y=-18
10x+2y=18
10x-7y=-18
9y=36
y=4
5x+y=9
5x+4=9
5x=5
x=1
2. Simon has to learn 155 words. If he learns 5 words every day. How many days will be take to learn all
the words?
Answer:
31 days
Step-by-step explanation:
155/5=31
Answer: 31
Step-by-step explanation:
155 divided by 5 equals 31
Write an equation for the line in slope-intercept
form.
(Use integers or fractions for any numbers in the
equation.)
