The volume of the prism is 143.44 in³
What is volume of a prism?A prism is a solid shape that is bound on all its sides by plane faces.
The general formula for the volume of a prism is expressed as;
V = base area × height
The prism is a rectangular prism, therefore the volume will be calculated as
V = l× w × h
where l is the length of the base and w is the width of the base
V = 8.5× 4.5 × 3.75
V = 143.44 in³
therefore the volume of the rectangular prism is 143.44 in³
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help pleaseeeeeeee :$))$$$$
Answer:6
Step-by-step explanation: I don't really know how to explain this...
Answer:
6
Step-by-step explanation:
hi! absolute value is defined as the number of units away from zero on the number line. distance is always positive, so absolute value is always positive. therefore, the answer is 6 since you just take the negative sign away.
hope this helps!
Question 4 of 10
If a radius of a circle bisects a chord, then it is
to that chord
O A. perpendicular
B. adjacent
C. congruent
D. parallel
SUBMIT
Answer:
If a radius of a circle bisects a chord, then it is perpendicular to that chord.
So. A. perpendicular
Dividing the sum of (7/8) (15/4) (1/12) by their multiplication gives _________
The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).
To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.
The sum of the fractions is:
(7/8) + (15/4) + (1/12)
To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:
(7/8) = (21/24)
(15/4) = (90/24)
(1/12) = (2/24)
Now we can add the fractions:
(21/24) + (90/24) + (2/24) = (113/24)
The multiplication of the fractions is:
(7/8) * (15/4) * (1/12)
To multiply fractions, we multiply the numerators and denominators:
(7*15*1) / (8*4*12) = (7/96)
Now we can divide the sum of the fractions by their multiplication:
(113/24) / (7/96)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(113/24) * (96/7) = (2712/168)
Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).
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Shannon has 3 more purple beads than yellow beads. Which equation represents Shannon’s beads?
Answer:
p = y+3
Step-by-step explanation:
Find the areas of the figures below. Can you find more than one method for each shape?
Please explain how you solved this. I am struggling.
Using area formula,
a. Area of the trapezium = 47.5m².
b. Area of parallelogram = 54inches².
Define area?The area of a thing is the amount of space it occupies in two dimensions. It is a way to count how many unit squares completely round the surface of a closed figure. The standard unit of area is the square unit, which is usually expressed as square inches, square feet, etc.
a. Sides of the trapezium are, a = 5m and b = 14m.
Height, h = 5m.
Area of the trapezium = (a+b)/2 × h
= (5 + 14)/2 × 5
= (19× 5)/2
= 95/2
= 47.5m².
b. Height of parallelogram = 6inches.
Base of parallelogram = 9inches.
Area = b × h
= 6 × 9
= 54inches².
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H(p)=p/5 + 15
What is the independent variable in this function
In the given function H(p) = p/5 + 15, the independent variable is "p" ,
The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.
It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.
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What is the least common denominator of 7/10 and 4/9
Answer:
7/10 = 63/90
4/9 = 40/90
Step-by-step explanation:
Rewriting input as fractions if necessary:
7/10, 4/9
For the denominators (10, 9) the least common multiple (LCM) is 90.
LCM(10, 9)
Therefore, the least common denominator (LCD) is 90.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
7/10 = 7/10 × 9/9 = 63/90
4/9 = 4/9 × 10/10 = 40/90
Consider the line 3x+2y=-1.
Find the equation of the line that is perpendicular to this line and passes through the point (5, 3).
Find the equation of the line that is parallel to this line and passes through the point (5, 3).
Note that the ALEKS graphing calculator may be helpful in checking your answer.
Equation of perpendicular line:
Equation of parallel line:
0
Rituparna Banerjee
Samantha used the school computer 20 hours last month. Her brother Jacob used the school computer for 60 hours. What is the ratio of
the hours Samantha used the computer to the hours Jacob used the computer?
O A 3 to 1
OB. 1 to 3
O C. 1 to 4
O D. 3 to 2
O
Answer:
20:60 simplified
Step-by-step explanation:
so the question wants u to set up the ratio, Samantha's computer time to jacobs computer time, so 20:60 basically. now the choices they give u looks all simplified so we have to simplifi 20:60 witch is B)1 to 3. always remember when u r simplifing u have to divide the ratio by the same number.
How many of each color ballon will be in each bouquest
plz answer this
Answer:
15
Step-by-step explanation:
The coordinate plane shows the floor plan for a swimming pool. What is the area of the pool's border?
2010
18
16
14
12
10
Distance (meters)
Pool
6
pool border
4
2
0
-2
0
2
4
14
6 8 10 12
Distance (meters)
16
18
20
2022 Edmentum Alnights reserved
Answer:
border area: 100 m²
Step-by-step explanation:
The area of the pool border will be the overall area of the pool and boder, less the area of the pool. The area of each rectangle is the product of its length and width. The length and width of each can be found using the Pythagorean theorem.
__
Pythagorean TripleThe triple (3, 4, 5) is called a Pythagorean triple, because ...
3² +4² = 5²
That is, a triangle with sides of lengths 3, 4, and 5 will be a right triangle with a hypotenuse of length 5.
__
Application to Pool/Border DimensionsWe notice that the sides of the rectangles in the figure have a rise/run of ±3/4 or ±4/3. In each case, the side of the rectangle is the hypotenuse of a triangle with dimensions a multiple of 3 or 4 meters. Hence the hypotenuse (rectangle side length) is the corresponding multiple of 5 meters. The attachment illustrates this point, showing a triangle with sides that are (6, 8, 10), 2 times the basic triple.
The pool is 5 m by 10 m, for an area of ...
A = LW = (10 m)(5 m) = 50 m²
The overall area is 10 m by 15 m, for an area of ...
A = (15 m)(10 m) = 150 m²
__
Border AreaThe pool's border is the difference between the overall area and the pool area:
150 m² -50 m² = 100 m² . . . . area of pool's border
Find all values of n for which the equation has two complex (non-real solutions)
6r² = 8r+ (n + 4)
Answer:
When n < - 6 2/3 the given equation has two complex solutions------------------------------
Given is a quadratic equation:
6r² = 8r+ (n + 4) ⇒ 6r² - 8r - (n + 4) = 0A quadratic equation has no real solutions if its discriminant is negative.
The discriminant of ax² + bx + c is:
D = b² - 4acApply to given equation:
D = (-8)² - 4*6*( - (n + 4)) = 64 + 24(n + 4) = 64 + 24n + 96 = 24n + 160Find the value of n when D < 0:
24n + 160 < 024n < - 160n < - 160/24 n < - 20/3 n < - 6 2/3In 2017 the population of Rexburg, Idaho was 28,337 people. The population was expected to grow at a rate of about 1.53% per year. Based on these numbers, what would we predict the population of Rexburg will be in the year 2020?
(Round to the nearest whole number.)
Number
people
Answer:
29658
Step-by-step explanation:
N = A (1 + increase) ^n
Where N is future amount, A is initial amount, increase is percentage increase/decrease, n is number of mins/hours/days/months/years.
N = 28337 (1 + 0.0153)^3
= 28337 (1.0153)^3
= 29658 to nearest number
What are the points of the image of the line in Q4 after the dilation?
Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)
How is this so ?To rotate a point 90 degrees clockwise about a given point,we can follow these steps -
Translate the coordinates of the given point so that the center of rotation is at the origin. In this case,we subtract the coordinates of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).
Perform the rotation by swapping the x and y coordinates and changing the sign of the new x coordinate. In this case,we swap the x and y coordinates of (-5, 3) to get (3, -5).
Translate the coordinates back to their original position by adding the coordinates of the center (0,1) to the result from step 2. In this case, we add (0,1) to (3, -5) to get (3, -4).
Therefore, the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).
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y = 1/3x -1
x-intercept (3,0)
How did they get this answer? Somebody please help
Answer:
Step-by-step explanation:
x-intercept is where the line cuts the x-axis. That is, when y=0.
Substitute y=0 and we get:
\(0=\frac{1}{3} x-1\)
\(1=\frac{1}{3} x\)
\(x=3\)
So x-intercept is the point (3,0).
Answer for branliest! Use the given values on the table to determine a pattern and complete the table.
1st - 320
2nd- 160
3rd- 80
4th - 40
5th - ?
6th - ?
7th - ?
8th - ?
Answer:
it's cut in half. the rest of the numbers are 20, 10, 5, 2.5
Step-by-step explanation:
divide all that is shown by 2 that's my proof
Find the value of each variable.
7
(4x + 8)
x=
Answer:
x=-1/4 or -.25
Step-by-step explanation:
I took the test and double checked it
Angella has a bag of coins the bag contains 14 dimes 5 nickels and 1 penny she will randomly select 2 coins out of the bag one at a time without replacement what is the probability that angella will select a dime first and then a penny?
explain the types of frequency distribution in statistics
The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution
What are the types of distribution?The two types of frequency distributions are;
Discrete Frequency Distribution:Grouped Frequency DistributionWhen the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.
The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.
This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.
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Tanisha's website had x visitors on Friday. On Saturday, it had 500 more visitors than it did on Friday. The total
number of visitors on Friday and
Saturday was twice the number on Sunday. In terms of x, how many visitors did Tanisha's website have on
Sunday?
If the number of visitors on Friday, Saturday, and Sunday is x, x + 500, and x + 250. Then the total number of visitors will be 3x + 750.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
Tanisha's website had x visitors on Friday.
On Saturday, it had 500 more visitors than it did on Friday. That is x + 500
The total number of visitors on Friday and Saturday was twice the number on Sunday. That is (2x + 500)/2
Then the total number of the visitors will be
→ Friday + Saturday + Sunday
Then we have
\(\rm \rightarrow x + x + 500 + \dfrac{2x + 500}{2}\\\\\rightarrow 2x + 500 + x + 250\\\\\rightarrow 3x + 750\)
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A movie theater can seat a maximum of 25 people. Let p represent the total number of people. Which inequality represents p, the number of people the theater can seat?
The inequality that represents p, the number of people the theater can seat is p ≤ 25
Which inequality represents p, the number of people the theater can seat?From the question, we have the following parameters that can be used in our computation:
A movie theater can seat a maximum of 25 people
This means that
Maximum = 25 people
In other words, the movie theatre can allow 25 or less people to attend a movie
In inequality, 25 or less means less than or equal to 25
When represented as an inequality expression, we have
≤ 25
Using the variable p, we have
p ≤ 25
Hence, the inequality is p ≤ 25
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Checking account A charges a monthly service fee of $20 and a wire transfer
fee of $3, while checking account B charges a monthly service fee of $30 and
a wire transfer fee of $2. How many transfers would a person have to have for
the two accounts to cost the same?
OA. 31
OB. 10
OC. 0
OD. 21
Answer:
B. 10
Step-by-step explanation:
A:
cost = 20 + 3x
B:
cost: 30 + 2x
20 + 3x = 30 + 2x
x = 10
Example 1: Every Number Has an Opposite
Locate the number 8 and its opposite on the number line. Explain how they are related to zero.
-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
Exercises 2-3
2. Locate and label the opposites of the numbers on the number line.
9
-2
4
a.
b.
C.
8
Answer:
To locate the number 8 and its opposite on the number line, we can use the given number line:
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
Number 8 is located to the right of zero. Its opposite can be found by moving an equal distance to the left of zero. Since the number line is symmetric about zero, the opposite of 8 would be -8.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
↑ ↑
So, the opposite of 8 is -8. They are related to zero as equal distances on opposite sides of zero on the number line.
Now, let's address exercises 2-3:
a. To locate the opposite of 9, we need to move an equal distance to the left of zero. The opposite of 9 is -9.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
↑
b. To locate the opposite of -2, we need to move an equal distance to the right of zero. The opposite of -2 is 2.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
↑
c. To locate the opposite of 4, we need to move an equal distance to the left of zero. The opposite of 4 is -4.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
↑
So, the opposites of the given numbers are:
9 → -9
-2 → 2
4 → -4
They are related to zero as equal distances on opposite sides of zero on the number line.
Step-by-step explanation:
A marching has 4 rows of trumpets with 10 trumpets in each row. How many trumpets are in the marching band. Use distributive property to solve.
Answer:
4x10=40 10
Step-by-step explanation:
10 people in each row. 4 rows of people. 10+10+10+10
PLease help me with calculus
Given: \(y-x^{4} y^{3} = x^{3}\)
Find: \(\frac{dy}{dx}\)
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!
Answer:
5^2
Step-by-step explanation:
For example:
a circle has 10 unit of radius, its area is pi10^2 = 314.16
then we dilate the radius by multiply by 5 is 50, pi50^2 = 7853.98
7853.98 ÷ 314.16 = 25
and 25 is equal to 5^2
please help me asap, i was absent the day we learned this and haven't been able to pick it up
Answer:
Your dead meat then...
Step-by-step explanation:
But I’m pretty sure its b?
sorry if it’s wrong
Answer:
the answer is c took this before
xA radioactive isotope is decaying at a rate of 20% every hour. Currently there are 15 grams of the substance.
Questions:
A. Write an equation that will represent the number of grams present after n hours
B. How much will be left after 24 hours (one day)? (Round to the nearest hundredth)
C. After how many hours will there be approximately one gram left?
B. After 24 hours, approximately 2.49 grams will be left.
C. After approximately 18.13 hours, there will be approximately one gram left.
A. To represent the number of grams present after n hours, we can use the equation:
N(n) = 15 × (1 - 0.2)^n
Where:
N(n) is the number of grams present after n hours,
15 is the initial amount of the substance in grams,
0.2 represents the decay rate of 20% per hour, and
^n represents the exponentiation operation.
B. To find out how much will be left after 24 hours, we can substitute n = 24 into the equation from part A:
N(24) = 15 × (1 - 0.2)^24
Calculating this expression, we find that approximately 2.49 grams will be left after 24 hours.
C. We need to determine the number of hours it takes until there is approximately one gram left. We can set up the equation:
1 = 15 × (1 - 0.2)^n
To solve for n, we can divide both sides of the equation by 15 and then take the logarithm (base 0.8) of both sides:
log(0.8)(1/15) = n
Using a calculator or logarithmic properties, we find that approximately 18.13 hours are required until there is approximately one gram left.
Therefore, the answers are:
B. After 24 hours, approximately 2.49 grams will be left.
C. After approximately 18.13 hours, there will be approximately one gram left.
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What is the remainder of 6099 divided by 7
Mr. McDowell's class read the first $52$ pages of a book during the first week of school, $46$ pages during the second week, $51$ pages during the third week, $42$ pages during the fourth week, $30$ pages during the fifth week, and $44$ pages during the sixth week. There are $75$ pages left to read. How many pages does the book have in all?
Answer:
340 pages total
Step-by-step explanation:
52+46+51+42+30+44+75=340
hope this helped!
Answer:
340 pages total
Step-by-step explanation:
Just add all the numbers together :)