The formula v =bh means that the volume of a prism is equal to its base area times its height. Solve v= bh for b
Answer:
[tex]b = \frac{v}{h}[/tex]
Step-by-step explanation:
The formula v =bh means that the volume of a prism is equal to its base area times its height.
WE need to solve for b, we need to get 'b' alone
v=bh
to get 'b' alone we need to eliminate 'h'
To eliminate any variable we always do opposite operation.'
bh mean b times h
the opposite of multiplication is division
so to eliminate 'h' we divide by 'h' on both sides
[tex]\frac{v}{h} = \frac{bh}{h}[/tex]
[tex]b = \frac{v}{h}[/tex]
The formula for the base area (b) of a prism is b = v/h.
To solve the formula v = bh for b (the base area), to isolate b on one side of the equation. Follow these steps:
Divide both sides of the equation by h:
v/h = b
The base area (b) is now isolated on one side of the equation.
To know more about area here
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April is randomly choosing five CDs to bring in her car from the following: 6 pop CDs, 8 rock CDs, and 10 R&B CDs. What is the complement of April choosing five pop CDs? choosing five CDs where none of them are pop choosing five CDs where not all of them are pop choosing five CDs where at least one of them is pop choosing five CDs where all of them are pop
Answer:
choosing five CDs where not all of them are pop
Step-by-step explanation:
The complement of an event is everything possible except that event. It is found by subtracting the probability of an event from 1.
The event we have listed is April choosing 5 pop CDs. The complement would literally be read as "not choosing 5 pop CDs." This means she would choose 5 CDs, where some could possibly be pop, but others would not.
Using the concept of complementary events, it is found that the complement of April choosing five pop CDs is given by:
choosing five CDs where not all of them are pop.
What are complementary events?Two events are complementary if the sum of their probabilities is of 1.
For example, either you choose five pop CDs, or you do not choose five pop CDs.
Hence the complement of this event is given by not choosing five pop CDs, that is:
choosing five CDs where not all of them are pop.
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Is it possible to place 158 books on three shelves so that the first shelf has 8 fewer books than the second and 5 more books than the third shelf?
plz halp
We are given 158 books to place them on three different shelves like A, B, and C.
It says that shelf A has eight fewer books than shelf B and five more books than shelf C.
Mathematically, it can be written as (A = B - 8) and (A = C + 5).
Or we can write it as (B = A + 8) and (C = A - 5).
If we consider there are 'x' books in shelf A, then shelf B would have 'x+8' books and shelf C would have 'x-5' books.
We know that Total books are 158, so its sum must be equal to total books.
A + B + C = 158
x + (x+8) + (x-5) = 158
3x + 3 = 158
3x + 3 - 3 = 158 - 3
3x = 155
[tex] \frac{3x}{3} =\frac{155}{3} [/tex]
x = 51.667 books
But 'x' must be an integer value because number of books can not be a decimal form.
Hence, this arrangement is "NOT possible" for this question.
Answer:
it is NOT possible
Step-by-step explanation:
Person 1 can do a certain job in fifteen minutes, and person 2 can do the same job in thirty minutes. When completing the job together, which expression would be used to represent the amount of work done by person 1?
A.1/15
B.x/15
C.15
pls asap
What is the relative minimum of the function?
relative minimum is -2 when x is -3
Match the trinomials with their factors.
Solve the inequality.
3 + |t + 4| < 10
A. t > 3 or t < –11
B. –3 < t < 11
C. –11 < t < 3
D. t < 3 and t > 11
Answer:
Just took the test Its C
On a softball field, home plate is 43 feet from the pitcher’s mound. A ball is hit at an angle of 27° east of the pitcher’s mound. The ball travels 162 feet before it is caught by an outfielder. Law of cosines: a2 = b2 + c2 – 2bccos(
a. Rounded to the nearest foot, the outfielder must throw the ball feet to return it to the pitcher.
Answer:
125 feet
Step-by-step explanation:
Given :
On a softball field, home plate is 43 feet from the pitcher’s mound.
A ball is hit at an angle of 27° east of the pitcher’s mound.
The ball travels 162 feet before it is caught by an outfielder.
To Find : Rounded to the nearest foot, the outfielder must throw the ball feet to return it to the pitcher.
Solution:
Law of cosines: [tex]a^2 = b^2 + c^2 -2bc cos A[/tex]
∠A = 27°
b = 43
c = 162
Substitute the given values
[tex]a^2 = 43^2 + 162^2 -2(43)(162) cos 27^{\circ}[/tex]
[tex]a^2 = 15679.497105[/tex]
[tex]a = \sqrt{15679.497105}[/tex]
[tex]a =125.21[/tex]
The outfielder must throw the ball 125 feet to return it to the pitcher.
Henry plots triangle UVW on a coordinate grid. The coordinates of U are (4, 3). After the triangle is translated 3 units to the left, what are the new coordinates of U ?
(7, 3)
(1, 3)
(4, 6)
(4, 0)
The table of values represents a quadratic function. What is the average rate of change for f(x) from x = 0 to x = 10 ? Enter your answer in the box.
I will make up the BRAINLIEST!!!ls tell me the ......distinguish between expression and equation algebraically by providing an example of an algebraic expression and an example of algebraic equation.pls answer this I beg you !!!!
Suppose you pay $3.00 to roll a fair die with the understanding that you will get back $5.00 for rolling a 1 or a 6, nothing otherwise. What is your expected value?
Final answer:
The expected value of the game where you pay $3.00 to roll a die and win $5.00 for rolling a 1 or a 6 is -$0.33 per roll, indicating a loss over time.
Explanation:
The problem is asking us to calculate the expected value of the game in which you pay $3.00 to roll a fair die with the potential of winning $5.00 for rolling a 1 or a 6. To find the expected value, we need to multiply the outcomes by their respective probabilities and then sum these products.
The probability of rolling a 1 or a 6 is 1/6 for each number, so the combined probability for these winning rolls is 1/6 + 1/6 = 1/3. The probability of rolling a 2, 3, 4, or 5 is therefore 2/3 since these are the non-winning rolls.
Let's calculate the expected value (EV):
Winning: (1/3) * $5.00 = $1.67
Losing: (2/3) * -$3.00 = -$2.00
Now we add the two values:
EV = $1.67 - $2.00 = -$0.33
Therefore, the expected value of playing the game is a loss of $0.33 per roll. This means that in the long run, you can expect to lose an average of $0.33 for each time you play this game.
40 PTS if u do this correctly!
Algebra 1
Do #'s 4,5,6,7,8,9,10,12,13,14
The sum of two numbers is 37. Their difference is 7. What are the numbers?
Answers:
17 and 24
16 and 21
15 and 22
18 and 25
Answer:
15 and 22
Step-by-step explanation:
15+22=37 and 22-15=7
What is the arc length of an angle of 7π 6 radians formed on the unit circle? A) π 6 B) 5π 6 C) 7π 6 D) 5π 6
Answer:
C
Step-by-step explanation:
The total scores on the Medical College Admissions Test (MCAT) in 2013 follow a Normal distribution with mean 25.3 and standard deviation 6.5.
a) what are the median and the first and third quartiles of the MCAT scores? what is the interquartile range?
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PLSSSS HELP WILL MARK BRAINLIEST 20PTS
A set of data points has a line of best fit of y=-0.2x+1.8. What is the residual for the point (5,1)?
Answer:
0.2
Step-by-step explanation:
The salesperson earn $172 in COMMISSION last week. How much money, in dollars, did he have in SALES last week?
The correct answer is $3,640 ($3,640 is really the answer). Explain step-by-step how to come to that answer or show your work.
Margo has a coin collection. She was given 1 coin as a gift, and she adds 3 coins per year. Which of the graphs below represents Margo's coin collection? (1 point) Select one: a. graph of line going through 1, 2 and 3, 4 b. graph of line going through 1, 1 and 3, 3 c. graph of line going through 1, 4 and 3, 10 d. graph of line going through 1, 2 and 2, 5
option: c. graph of line going through (1, 4) and (3, 10)
Step-by-step explanation:It is given that:
Margo has a coin collection.
She was given 1 coin as a gift, and she adds 3 coins per year.
i.e. she started with a initial of one coin and add 3 coins each year.
That is this situation can be represented with the help of a function:
C(t) which represents the number of coins she has in 't' years.
Now,
C(0)=1
Also,
C(t)=3t+1-------------(A)
Hence, we will check each of the given functions whether at the value of t they passes through that point or not.
a)
it is given that:
Graph passes through (1,2) and (3,4)
i.e. when t=1 C(t)=2
and when t=3 C(t)=4
but on putting the value of t in equation (A) it does not hold true.
same could be done for option (b) and option (d).
But in option (c)
It hold true.
c. graph of line going through 1, 4 and 3, 10Since,
when t=1
C(t)=3×1+1=4
when t=3
C(t)=3×3+1=10
Hence, the correct answer is:
c.) graph of line going through 1, 4 and 3, 10
A) –6m + 38
B) –6m + 76
C) –6m + 19
D) –24m + 19
Javier has 4 juice boxes. Three are grape flavored. Write two equivalent fractions that describe the part of the juice boxes that is grape
Final answer:
Javier has 4 juice boxes, 3 of which are grape flavored. The fraction representing grape juice boxes is 3/4, with equivalent fractions being 6/8 and 9/12.
Explanation:
Javier has 4 juice boxes and three are grape flavored. To describe the part of the juice boxes that is grape in the form of a fraction, we would use the total number of juice boxes as the denominator and the number of grape juice boxes as the numerator. So, the fraction representing the grape juice boxes is 3/4 (three out of four).
To write two equivalent fractions, we can multiply the numerator and the denominator by the same number. If we multiply both by 2, we get 6/8, which is equivalent to 3/4. Similarly, multiplying both by 3 gives us 9/12, which is also equivalent to 3/4.
8. On a map, Jenia draws a segment from her home to her school. She measures
this segment and finds it is 3 cm. She knows her home is 0.5 mi from school.
What is the scale of her map in cm/mi?
A.6
B.3
C.13
D.16
To covert 180 seconds to minutes, which proportion should you use?
Choose the correct classification of 4x4 ??? 4x3 + 10x6.
4th degree trinomial
12th degree trinomial
3rd degree trinomial
6th degree trinomial
The polynomial [tex]\( 4x^4 - 4x^3 + 10x^6 \)[/tex] is classified as a 6th degree trinomial. The correct option is d) 6th degree trinomial.
To classify the polynomial [tex]\( 4x^4 - 4x^3 + 10x^6 \)[/tex]:
Identify the degree of each term:
- [tex]\( 4x^4 \)[/tex] has a degree of 4.
- [tex]\( 4x^3 \)[/tex] has a degree of 3.
- [tex]\( 10x^6 \)[/tex] has a degree of 6.
Determine the degree of the polynomial:
The degree of the polynomial is the highest degree of its terms, which is 6.
Count the number of terms: The polynomial has three terms.
Thus, the polynomial has 6th degree and number of terms trinomial.
The complete question is:
Choose the correct classification of [tex]4x^4-4x^3+10x^6.[/tex]
a) 4th degree trinomial
b) 12th degree trinomial
c) 3rd degree trinomial
d) 6th degree trinomial
What is the slope of the line whose function f satisfies f(−2)=1 and f(5)=−10f(−2)=1 and f(5)=−10?
C'MON, PLS HELP, I WILL GIVE BRAINLIEST-A farmer has 300 ft of fencing with which to enclose a rectangular pen next to a barn. The barn itself will be used as one of the sides of the enclosed area.
What is the maximum area that can be enclosed by the fencing?
Enter your answer in the box.
ft²
Jax solved an equation and justified his steps as shown below. What reason would justify step 2?
3x + 5 > 2 Step 1: Given
3x > -3 Step 2: ?
x> -1 Step 3: Division Property of Equality
Combine Like Terms
Subtraction Property of Equality
Division Property of Equality
Multiplication Property of Equality
n a right triangle, the sum of the squares of the leg lengths is equal to the square of the hypotenuse length.
The volume of a cone is 180 in3. find a function that models the height h of the cone in terms of its radius r.
Final answer:
The function modeling the height of the cone in terms of its radius, given the volume of 180 in³, is h(r) = 540 / (πr²).
Explanation:
The volume V of a cone with radius r and height h is given by the formula V = (1/3)πr²h, where π is Pi (approximately 3.14159). Given that the volume of the cone is 180 in³, we can solve for the height h in terms of the radius r.
Starting with the formula:
V = (1/3)πr²h
We plug in the volume:
180 = (1/3)πr²h
To solve for h, we rearrange the equation:
h = 3*180 / (πr²)
h = 540 / (πr²)
So the function modeling the height h of the cone in terms of its radius r is:
h(r) = 540 / (πr²)