The volume of a perfect ball is [tex]V=\frac{4\pi r^3}{3}[/tex].
In your case
[tex]V=\frac{4\pi 12.1^3}{3}=7420.7\approx7421\mathrm{cm^3}[/tex]
Hope this helps.
find the equation for the line that passes through the point (4,-3), and that is perpendicular to the line with the equation y= -3/4x-3
Answer:
hi
Step-by-step explanation:
Answer
Slope between two given points (1,3) and (2,7) is
m=
2−1
7−3
=4
Then perpendicular slope is m
1
=
4
−1
The line equation with this slope is given by
y=
4
−1
x+c.......(1)
Now, the above line passes through the point (−4,−3)
⇒−3=
4
−1
×(−4)+c
⇒c=−4
Therefore required line is 4y+x+16=0 (Substitute
′
c
′
in (1) and simplify)
Find the x and y intercepts for the following equation. 4x - 2y = 16
Answer:
( 4, 0 ) and ( 0,-8 )
Step-by-step explanation:
→ Rearrange into y = mx + c format
4x - 2y = 16
→ Minus 4x from both sides
-2y = -4x + 16
→ Divide everything by 2
-y = -2x + 8
→ Multiply everything by -1
y = 2x - 8
→ Substitute x = 0 to find the y-intercept and y = 0 to find the x intercept
x = 0 then y = -8 so ( 0,-8 )
y = 0 then x = 4 so ( 4, 0 )
In FGH, the measure of H=90°, HF = 91 feet, and GH = 50 feet. Find the measure of F to the nearest degree.
Answer:
28.8 degrees (rounded)
Step-by-step explanation:
you need to use tan^-1 in order to find x. tan is opposite side / adjacent side.
so...
tan^-1[tex]^[/tex](50/91) = 28.78661831
Answer:
Its 29
Step-by-step explanation:
I did the detla math
0.4 divided by 2.3 plzz fast
Answer:
divided by 2.3 plzz fastdivided by 2.3 plzz fast
Step-by-step explanation:
divided by 2.3 plzz fast
divided by 2.3 plzz fastdivided by divided by 2.3 plzz fast plzz fast
How many tens are in the number 639
Answer:
63 tens are in 639 are in that number
Answer:
There are 63 full tens in 639.
Step-by-step explanation:
639÷10=63.9
Hope this helps! :)
The graph shows your elevation during a bike ride. Which statement is true about your bike ride?
Answer:
You were running downhill for the first 15 minutes.
It takes Naomi 4 minutes to run 5 laps. How long does it take her to run 30 laps? Use a table, double number line, tape diagram or another strategy to show your thinking.
(Please hurry I'm being timed)
Answer:
24 minutes
Step-by-step explanation:
5x6=30
4x6=24
A box has 70 cookies . 10% are broken (a) What fraction is broken ?
(b) What fraction remained whole?
Answer:
Step-by-step explanation:
70(10/100)=7 broken cookies.
7/70=1/10 is the fraction broken
(70-7)/70=63/70 is the fraction remaining whole
Answer:
(a) 1/7 are broken
(b) 6/7 remain whole
Step-by-step explanation:
70 is a nice number to deal with in terms of percentages and fractions. If 10% of the cookies are broken, do 10/70. That fraction simplified gets you 1/7. To find the remaining whole cookies. Do 7/7 - 1/7 = 6/7 (or if you already know that in your head that works too)
Select the statement that describes this expression: 32 ÷ 4 + ( fraction 1 over 2 x 16) − 2
Answer:
Step-by-step explanation:
32 ÷ 4 + ([tex]\frac{1}{2}*16) - 2[/tex] = 8 + (1*8) - 2
= 8 + 8 - 2
= 16 - 2
= 14
Answer:
The quotient of 32 and 4 added to the product of fraction 1 over 2 and 16, then subtract 2
Step-by-step explanation:
An angle measures 154º more than the measure of its supplementary angle. What is the
measure of each angle?
Answer:
167 & 13
Step-by-step explanation:
(180-154)/2=
26/2=13
154+13=167
5 times a number is 14 less than the square of that number. Find the negative solution.
Answer:
x=-2
Step-by-step explanation:
5x=x^2 - 14
x^2-5x-14=0
(x-7)(x+2)=0
x=7,-2
A small theater head six rows of 26 chairs each an extra seven chairs have just been brought in how many chairs are in the theater now
1/3 1/4 3/8 7/24 5/12 which is the biggest
Answer: 5/12
Step-by-step explanation:
Answer:
Step-by-step explanation:
5/12 is the biggest
What is 56x1
Just a regular normal question from me
Your welcome in advance
Answer:
56
Step-by-step explanation:
Hope this helps
Answer:
56
Step-by-step explanation:
56×1=56
how to find the interest for a 2% interest rate loan of $3000 for 1 year, BUT instead of the 2% in the example, switch it to 3% interest on a $3500 loan.
Answer: See Explanation
Step-by-step explanation:
Simple interest is calculated as:
= principal × rate × time.
The interest for a 2% interest rate loan of $3000 for 1 year will be:
= principal × rate × time.
= $3000 × 2% × 1
= $3000 × 2/100 × 1
= $3000 × 0.02 × 1
= $60
The interest for a 3% interest rate loan of $3500 for 1 year will be:
= principal × rate × time.
= $3500 × 3% × 1
= $3500 × 3/100 × 1
= $3500 × 0.03 × 1
= $105
Which answer is an equation in point-slope form for the given point and slope?
Point (1, 9), Slope: 5
(A) y - 9 = 5(x + 1)
(B) y+9 -5(x - 1)
(C) y-9=5(x - 1)
(D) y-1-5(x +9)
Answer:
Step-by-step explanation:
Point-slope equation for line of slope m that passes through (x₀,y₀):
y-y₀ = m(x-x₀)
In your case, m=5 and (x₀,y₀)=(1,9):
y-9 = 5(x-1)
туре or Movie
Number or
Students
36
Horror
Drama
26
Comedy
30
Sci-Fi
28
Based on the data in the table, what is the probability that a random
Answer: 3/4, because the probability of renting a comedy is 1/4
================================================================
Explanation:
We have 36+26+30+28 = 120 students. 30 of which rented a comedy.
The probability of renting a comedy is 30/120 = (30*1)/(30*4) = 1/4
The probability of not renting a comedy is 1 - (1/4) = 4/4 - 1/4 = (4-1)/4 = 3/4.
Or you could say that 1/4 = 0.25, so 1-0.25 = 0.75 which converts to the fraction 3/4.
If you had 4 people and 1 of them rents a comedy, then the other 3 hasn't rented a comedy.
What are two fractions equivalent to 2/8?
Hm, any two? 1/4 and 4/16 are equal to 2/8.
Hope this helps.
What is the slope of the line that passes through the points (2, -3) and (5, 1)
Answer:
Answer is (4) 4/3
Step-by-step explanation:
[tex]\frac{1- -3}{5-2}[/tex]
[tex]\frac{4}{3}[/tex]
Answer:
slope is 4/3
Step-by-step explanation:
1-(-3)/5-2
4/3
2. What is an interest that is computed on the
principal and then added to it?
A. Simple Interest
B. Compound Interest
C. Interest
D. Principal
Answer:
Step-by-step explanation:
In a triangle with all sides equal, what is the degree measure of any of the
angles? Write one number. *
answer:
the degree measure would be 60°
60 + 60 + 60 = 180
therefore, 60 is the answer.
Jerome won the lottery! He donated 1/2 of the money to charity and gave his parents 1/6 of the winnings. The remaining 1/3 was divided equally among his 5 friends. The expression given represents the part of the lottery money for each friend received. "1/3 (divided by) 5" Which expression is equivalent to the amount of money each friend received? A: 1/5 (divided by) 1/3 B: 1/5 x 1/3 C: 1/3 (divided by) 1/5 D: 5/1 x 1/3
Answer:
B: 1/5 x 1/3
Step-by-step explanation:
a bottle of apple juice has 12 servings if 13 friends split the juice equally how many servings does each person get
Answer:
Each friend will get 0.92 of a serving
Step-by-step explanation: 12 servings divided by 13 peple equals 0.923
1. The cost of a fish dinner for a restaurant is $7.95. If they sell it for $11.95, what is the percent markup?
Answer:
the answer will be
50.3144 %
Translate triangle HIK 4 units to the right and 1 unit up.
What are the coordinates of the vertices of the image?
A. H’(-10, 3), I’(-11, -6), and K’(-4, -7)
B. H’(6, 3), I’(-6, -11), and K’(-7, 5)
C. H’(10, 3), I’(11, -6), and K’(5, -7)
D. H’(-3, 10), I’(-6, 11), and K’(-7, -5)
Answer:
C. H'(10, 3 ), I(-11, -6), and K' (5, -7)
Step-by-step explanation:
Rigth on edge
Question
A random sample of SAT scores has a sample mean ofă = 1060 and sample standard deviation of s = 195. Use the
Empirical Rule to estimate the approximate percentage of SAT scores that are less than 865.
Answer:
The approximate percentage of SAT scores that are less than 865 is 16%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 1060, standard deviation of 195.
Empirical Rule to estimate the approximate percentage of SAT scores that are less than 865.
865 = 1060 - 195
So 865 is one standard deviation below the mean.
Approximately 68% of the measures are within 1 standard deviation of the mean, so approximately 100 - 68 = 32% are more than 1 standard deviation from the mean. The normal distribution is symmetric, which means that approximately 32/2 = 16% are more than 1 standard deviation below the mean and approximately 16% are more than 1 standard deviation above the mean. So
The approximate percentage of SAT scores that are less than 865 is 16%.
true or false. the cross section of a rectangular prism is a prism
Answer:
true
Step-by-step explanation:
The time to complete a project varies inversely
with the number of employees. If 3 people can
complete the project in 7 days, how long will it
take 5 people?
O 4.2
O 21
O 11.7
O 2.1
Answer:
4.2
Step-by-step explanation:
T = K/N
K= TN
= 3×7
K= 21
Therefore the time required for 5 employees can be calculated as follows
T= 21/5
= 4.2
PleSee help!!! 10 points for it
Quadrilateral DEFG has vertices at D(3,4) E(8,6) F(9,9) G(4,7). Prove that DGEF is a parallelogram
