Answer: 132
Step-by-step explanation:
C=2[tex]\pi[/tex]r
C=2[tex]\pi[/tex]21
C=131.88
Given: 6|x/3| < 18
Part A: Show the step(s) to get the absolute value expression by itself.
Part B: Write the two equations used to solve the absolute value equation.
Part C: Solve the equations and check your equations.
Answer:
see below
Step-by-step explanation:
6|x/3| < 18
Divide by 6
6/6|x/3| < 18/6
|x/3| < 3
Now we get two equations, one positive and one negative, remembering to flip the inequality
x/3 < 3 x/3 > -3
Multiply by 3 to isolate x
x/3 *3 < 3*3 and x/3*3 > -3*3
x < 9 and x > -9
Rewriting
-9 < x<9
Check -12
6|-12/3| < 18
6|-4| <18
24<18 False good
Check 0
0<18 true
Check 12
6|12/3| < 18
6|4| <18
24<18 False good
Which situation describes INDEPENDENT events? A) One student is chosen from Classroom A, then a student is chosen from Classroom B. B) One card is chosen from a standard deck, it is set aside, then a second card is drawn. C) One student is chosen from Classroom A, then a second student is chosen from Classroom A. D) Tom chooses a letter of the alphabet, then Beth must choose a different letter from the alphabet.
Answer:
Step-by-step explanation:
A) One student is chosen from Classroom A, then a student is chosen from Classroom B
the sets for each probability to happen are different. what happen in first clause is unrelated to the second clause
Kendra gets a paycheck of 300 after 5 days of work at this rate how much does she get paid for working 24 days
Answer:
$1,440; Possible work: Since 300 4 5 5 60, Kendra gets paid $60 per day: 60 3 24 5 1,440. So, she gets paid $1,440 for working 24 daysStep-by-step explanation:
HOPE THIS HELPS
Answer:
1440 = x
Step-by-step explanation:
We can use a ratio to solve
300 dollars x dollars
----------------- = ------------
5 days 24 days
Using cross products
300*24 = 5x
Divide each side by 5
300*24/5 = 5x/5
1440 = x
Using a fair, six-sided die, what is P(2 or 3)?
x-1/2*1/8=1/8 Find the value of x.
Answer:
x = 3 / 16
Step-by-step explanation:
Simplify first:
x - 1 / 16 = 1 / 8
x = 3 / 16
i need help answering
Answer:c
Step-by-step explanation:
What is the probability that the first marble is green a the second is red? Write fraction in simplest form.
Alicia buys a 8-pound bag of rocks for a fish tank. She uses 3 1/8 pounds for a large fish bowl. How much is left? (Rename the 8 pound bag of rocks. Then subtract to find the correct answer.)
Answer:
4 7/8
Step-by-step explanation:
Total pound=8
Total used=3 1/8
Leftover=?
8-3 1/8
=8-25/8
L.C.M of 8 and 25/8 is 8
=.64-25 /8
=39/8
=4 7/8
need help with question 40!!!!
Answer:
0.84
Step-by-step explanation:
You got number 38 wrong. It should be 0.625
So number 39's answer should be the code.
0.84
Frankie puts £4000 in a bank account for 5 years with a 7.5% rate of interest. How much will be in the
account at the end of that time?
Answer:5500
Step-by-step explanation:
I need some help please!! I'll give brainliest to first answer!!!!!!!!!!!!!
Answer:
Keith; -5, -12
Step-by-step explanation:
Logic ( Subtract 12 from both sides, then factor it out)
Find the number, if...
3/8 of it is 24.
Answer:
64
Step-by-step explanation:
To get the answer, just perform the reverse operation of what the question said. In this case, you would want to multiply by the reciprocal, which is (8/3). So the answer is found by just solving 24*(8/3).
Answer:
The number is 64
Step-by-step explanation:
Let the number be x
3/8 of x = 24
x = 24 ÷ (3/8)
[tex]x=24*\frac{8}{3}\\\\x=8*8[/tex]
x = 64
The senior classes at High School A and High School B planned separate trips to the indoor climbing gym. The senior class at High School A rented and filled 5 vans and 10 buses with 410 students. High School B rented and filled 10 vans and 12 buses with 556 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?
Answer:
A van can carry 15 students and a bus can carry 966 students
He volume V (in cubic feet) of a right cylinder with a height of 5 feet and radius r (in feet) is given by V=5πr2. Solve the formula for r. Then find the radius of the cylinder when the volume is 770 cubic feet. Round your answer to the whole number.
Answer:
[tex] 770 = 5\pi r^2[/tex]
If we divide both sides by [tex] 5\pi[/tex] we got:
[tex] \frac{770}{5\pi} = r^2 [/tex]
And taking square root we got:
[tex] r = \sqrt{\frac{770}{5\pi}}= 7.001 ft[/tex]
And rounded to the nearest whole number we got 7 ft
Step-by-step explanation:
For this case we know that the hieght of a right cylinder is 5 ft and the volume is given by:
[tex] V = 5 \pi r^2 [/tex]
And we know that the volume [tex] V = 770 ft^3[/tex] and we want to solve for r so we can set up the following equation:
[tex] 770 = 5\pi r^2[/tex]
If we divide both sides by [tex] 5\pi[/tex] we got:
[tex] \frac{770}{5\pi} = r^2 [/tex]
And taking square root we got:
[tex] r = \sqrt{\frac{770}{5\pi}}= 7.001 ft[/tex]
And rounded to the nearest whole number we got 7 ft
Write a real-world problem that could be solved with the inequality 23m + 4 > 96 Solve the problem with work shown. Write a sentence that explains the solution using the context from the real-world problem.
Answer:
The given inequality is
[tex]23m + 4 > 96[/tex]
Where [tex]m[/tex] represents minutes.
A problem that can be modeled by this inequality is:
Lucy earn $23 per minute, with an extra $4 due to punctuality, which must give more than $96 a day so she can make a living with that job. How many minutes does she need to work?
To solve the problem, we just solve the expression for [tex]m[/tex]
[tex]23m +4 > 96\\23m > 96-4\\23m > 92\\m > \frac{92}{23}\\ m > 4[/tex]
Therefore, Lucy needs to work more than 4 minutes in order to make a living with that job.
Plz help! Question on picture :)
Answer:
125 students participated
Step-by-step explanation:
66% + 30% = 96%
100% - 96% = 4%
4% = 5 students
100% ÷ 4% = 25
25 × 5 = 125
125 students participated
Answer:
125 students
Step-by-step explanation:
30+66=96
100-96=4
5 students make up 4%.
100/4=25
25x5=125 students
Solve for all values of x by factoring.
x2 + 10x + 8 = x
Answer:
x=-1,x=-8 can't factor it
Step-by-step explanation:
Step-by-step explanation:
x = -1 , x = -8
Hope its help u
1. Calculate the slope between the two points (2,5) and (-3,-4).
To find the slope of thine that passes through these points, use the slope formula. It can be read as “slope equals the second y-coordinate minus the first y-coordinate over the second x-coordinate minus the first x-coordinate.”
So we have [tex]\frac{-4 - 5}{-3 - 2}[/tex] and this simplifies to -9/-5 or 9/5.
Remember, a negative divided by a negative is a positive.
what is a = 1/2 (b-c) if b is the subject
Answer:
b = 2a + c
Step-by-step explanation:
Given
a = [tex]\frac{1}{2}[/tex] (b - c)
Multiply both sides by 2 to clear the fraction
2a = b - c ( add c to both sides )
2a + c = b
Carlos needs 1.7 meters of wire for one project and 0.8 meters of wire for another project shade the model to represent the total amount of wire Carlos needs each full row represent 1.0 meters
Answer:
Step-by-step explanation:
Given that ;
Carlos needs 1.7 meters of wire for one project &
0.8 meters of wire for another project
we are to shade the model to represent the total amount of wire Carlos needs .
NOW;
For both projects ; Carlos needs ( 1.7 + 0.8) meters of wire = 2.5 meters of wire
In the attached files below. the first picture shows the diagram attached to the question and the second one shows the shading of the model which represent the total amount of wire Carlos needs.
Find cos x if sin x =0.82.
Answer:
cosx= 35. Use Trignometrical identity cosx = √1−sin2x . cos x = √1−1625 = √925 = 35 to be the ...
Missing: =0.82 | Must include: =0.82
Step-by-step explanation:
Smh, what is this. If you answer this, please add a prove it statement. Thank you.
A circular table top has an area of 324 square inches. Which
measurement is closest to the radius of the table top in inches?
Answer:
10 inches (10.19)
Step-by-step explanation:
-8x+2y=12 in slope intercept form
Answer:
y= -4x + 3
Step-by-step explanation:
Answer:
y = 4x + 6
Step-by-step explanation:
Find the surface area of the prism.
Answer: ph+2b
Step-by-step explanation:
Answer:
920 ft²
Step-by-step explanation:
2 triangles + 3 rectangles
2(½×15×8) + 20(17+8+15)
120 + 800
920
I am thinking of a number. My number is between 20 and 30 My number and 12 have only one common factor. What number could I be thinking of? Give all three possible answers.
Answer:
21, 22 and 26
Step-by-step explanation:
To answer this question first we need to know which are the factors of 12:
[tex]12= 2^2(3)[/tex]
So, now, we need 3 numbers that are between 20 and 30 and that only have one common factor with 12, in other words, they need to have just a 2 or a 3 in their factorization.
Let's take number 21:
[tex]21= (7)(3)[/tex], we can see that 21 only has a 3 and a prime so therefore it has only one common factor with 12
Now, let's take the number 22,
[tex]22=11 (2)[/tex], thus since 22 has a 2 and a prime, it has only one common factor with 12.
Now, let's take the number 26
[tex]26= 13 (2)[/tex], thus, since 26 has a 2 and a prime, it has only one common factor with 12.
Thus, the three possible answers are 21, 22 and 26
A plane slices through the axis of a right circular cone with a height of 4 feet and a radius of 3 feet, as shown below. What is the perimeter of the intersection of the plane and the cone?
Answer: 37.64
Step-by-step explanation:
Given data:
Height of the cone = 4feet
Radius of the cone = 3feet
Therefore:
Perimeter of a cone = 1/3 * π * r*h
= 1/3 * 22/7 * 3² * 4
= 0.333 * 3.14 * 9 * 4
= 37.64 feet
The perimeter of the The cone and plane is 37.64feet
Correct answers only!
To the nearest cent, how much will she have in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
0.62
Step-by-step explanation:
PLEASE HELP
For a hypothesis test of H0: p = 0.35 against the alternative Ha: p > 0.35, the z test statistic is found to be 2.45. What can be said about this finding?
A. The finding is significant at α = 0.05, but not at α = 0.01.
B. The finding is significant at α = 0.01, but not at α = 0.05.
C. The finding is significant at both α = 0.05 and α = 0.01.
D. The finding is not significant at α = 0.05 and α = 0.01.
Answer:
C
Step-by-step explanation:
Is is a one-tailed test
P(z < 2.45) = 0.9929
1 - 0.9929 = 0.0071
Significant at both 0.05 and 0.01 because both are greater than 0.0071
Answer:
The finding is significant at both α = 0.05 and α = 0.01.
what is the perimeter of a semi-circle with a diameter of 14 units
Answer:
35.98
Step-by-step explanation:
To find the perimeter take 1/2 of the circumference plus the length of the diameter
P = 1/2 * pi *d + d
=1/2 pi 14 +14
= 7pi +14
Letting pi = 3.14
7(3.14) + 14
21.98 +14
35.98
