Answer:
See below
Step-by-step explanation:
2x+4 / x^2-x-6
= 2(x+2)/(x-3)(x+2)
= 2/(x-3)
So the 2 expressions are equivalent
The values of x which make the expressions undefined are those values which make the denominators 0
For 2x+4/ x^2-x-6 they are X=3 and x= -2.
For 2/x-3 they are x =3.
If a rectangular prism has a length, width, and height of 3/8 centimeter, 5/8 centimeter, and 7/8 centimeter, respectively , then the volume of the prism is ____ cubic centimeter
Answer:
The volume of the prism is cubic [tex]\frac{105}{512}[/tex] centimeters.Step-by-step explanation:Given that a rectangular prism has the following dimensions:[tex]length, l=\frac{3}{8}cm \\\\width, w=\frac{5}{8}cm \\\\height, h=\frac{7}{8}[/tex]We know that a rectangular prism of length 'l', width 'w' and height 'h' is given by[tex]V=w*h *l.[/tex]Therefore, the volume of the given prism will be[tex]V\\\\=w*h*l\\\\=\frac{3}{8}*\frac{5}{8}*\frac{7}{8} \\\\=\frac{105}{512}cm^{3}.[/tex]Thus, the volume of the prism is [tex]\frac{105}{512}[/tex] cubic centimetres.A rectangle has a height of 5 and a width of 4x2 – 2x – 6.
Express the area of the entire rectangle
Expression should be expanded.
Answer:
The area of the rectangle is given by the expression "20x² - 10x - 30".
Step-by-step explanation:
The area of a rectangle is given by the product of it's dimensions. This is shown in the formula bellow:
area = width*height
In this case the width is an expression, so we need to multiply the numeric part of each mnemonic
area = 5*(4x² - 2x - 6)
area = 20x² - 10x - 30
The area of the rectangle is given by the expression "20x² - 10x - 30".
Elsa went to a baseball game. The game started at 9:42 AM, and it was 3 hours 37 minutes long. When did the game end?
Answer:
1 : 19 PM
Step-by-step explanation:
9 + 3 = 12
42 + 37 + 79
12:00 + 1 hour and 19 minutes
1 : 19 pm
The base of a triangular prism has an area of 18 square inches . If the height of the prism is 4.5 inches then what is the volume for the prism?
Answer:
The volume for the triangular prism is 40.5 cubic inches.
Step-by-step explanation:
Given:
The base of a triangular prism has an area of 18 square inches .
And the height is 4.5 inches.
Now, to get the triangular prism volume.
The base area = 18 square inches.
Height = 4.5 inches.
Now, to get the volume of prism we put formula:
[tex]Volume=\frac{1}{2} \times base\ area\times height\\\\Volume=\frac{1}{2} \times 18\times 4.5\\\\Volume=40.5\ cubic\ inches.[/tex]
Therefore, the volume for the triangular prism is 40.5 cubic inches.
The volume of the triangular prism is 81 cubic inches.
To calculate the volume of a triangular prism, you can use the formula:
Volume = Base Area * Height
Given:
- The base area of the triangular prism is 18 square inches.
- The height of the prism is 4.5 inches.
Plug these values into the formula:
Volume = 18 square inches * 4.5 inches
Multiply these values:
Volume = 81 cubic inches
So, the volume of the triangular prism is 81 cubic inches.
6. A cone has a diameter of 6 inches and a height of 8 inches. Find the
volume using 3.14 for Tr. *
Final answer:
To calculate the volume of a cone with a diameter of 6 inches and a height of 8 inches, use the radius which is 3 inches and apply the formula V = 1/3πr²h, resulting in a volume of 226.08 cubic inches.
Explanation:
The subject's question is about finding the volume of a cone with a given diameter and height. The formula to calculate the volume of a cone is V = ⅓πr²h. Given that the diameter is 6 inches, the radius (r) is half of that, which is 3 inches. Using 3.14 for π (pi), and the given height (h) of 8 inches, we can substitute these values into the formula to find the volume.
So, the calculation is:
Find the radius (r) by dividing the diameter by 2, r = 3 inches.
Substitute r and h into the volume formula: V = ⅓πr²h = ⅓(3.14)(3 inches)²(8 inches).
Calculate the square of the radius (3 inches)² = 9 inches².
Multiply the area with height and π: V = ⅓(3.14)(9 inches²)(8 inches) = 226.08 cubic inches.
Therefore, the volume of the cone is 226.08 cubic inches.
What is the slope of y = -4?
Martin's class needs to raise $1,250 for a river rafting trip. To find how much money each of class members must raise, Martin divides 1,250 by 25. His steps are shown 1.250 25 Step 1: (1,000 + 200 +50) = 25 Step 2: (1,000 - 25) + (200 - 25) + (50 25) Step 3: 400 + 8 + 2 Step 4: 482 In which step did Martin make his first mistake! F Step 1 G Step 2 H Step 3 J Step 4
Answer:
F) Step 1
Step-by-step explanation:
1,000+200+50=1,250, not 25
Martin made his first mistake in Step 2.
Explanation:Martin made his first mistake in Step 2.
In Step 2, Martin subtracted 25 from both 1,000 and 200, correctly. However, for the third number, 50 / 25 is actually 2, not 25. Therefore, the correct calculation should be (50 / 25) instead of (50 - 25).
So, the correct calculation in Step 2 should be (1,000 - 25) + (200 - 25) + (50 / 25) = 975 + 175 + 2 = 1,152.
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What is the absolute deviation of the data set 4, 4, 6, 6, 7, 8, 8, 8, 9, 10
Answer:
Mean absolute deviation = 1.6.
Step-by-step explanation:
The mean = (4+4+ 6+ 6+ 7+ 8+ 8 + 8 +9+ 10) / 10
= 7.
List the differences from the mean:
4 - 7 = -3
-3
-1
-1
0
1
1
1
2
3
Sum of the absolute value of the difference
= 3 + 3 + 1 + 1 + 0 + 1 + 1 + 1 + 2 + 3
= 16.
So the Mean Absolute deviation = 16 / 10 = 1.6.
During his career, Walter Payton rushed for 16,726 yards. How many feet is that? I WILL GIVE BRAINLIEST!!!!!!!!
Step-by-step explanation:
1 yard = 3 feet so we will multiply 16726 yards with 3 so answer = 16726 × 3 = 50178
Final answer:
To convert yards to feet, multiply the number of yards by 3. Walter Payton rushed for 16,726 yards, which equals 50,178 feet when converted.
Explanation:
The question asks to convert the number of yards rushed by Walter Payton during his career into feet. To find the conversion, you can use the fact that there are 3 feet in 1 yard. Therefore, to convert yards to feet, you should multiply the number of yards by 3.
Walter Payton rushed for 16,726 yards during his career. Using the conversion factor:
Feet = Yards × 3So,
Feet = 16,726 yards × 3
Feet = 50,178 feet
Thus, Walter Payton rushed for 50,178 feet during his career.
A zookeeper created the following stem-and-leaf plot showing the number of tigers at each major zoo in the country:
Answer:
So the smallest number of tigers at any zoos is 7
Step-by-step explanation:
As we can see:
the data represented in the 0's is given by 7 the data represented in the 10's is given by 11 14 18 the data represented in the 20's is given by 25 25 25 26 27 27 29the data represented in the 30's is none the data represented in the 40's is noneSo the smallest number of tigers at any zoos is 7
A stem-and-leaf plot is a tool used in mathematics to organize and interpret data. In this case, it's used to understand the distribution of tigers in major zoos across the country and can help find modes, medians, ranges for the dataset.
Explanation:The question refers to a stem-and-leaf plot, a graphical tool widely used in mathematics for organizing and interpreting data. It's often used in middle school to introduce students to basics of statistics. In the context of this specific problem, the 'stems' would represent the tens place of the number of tigers and the 'leaves' would represent the ones place.
For example, a stem of 2 and a leaf of 3 would represent 23 tigers. When compiled, this plot provides an overview of the distribution of tigers in major zoos across the country. This type of graph is extensively useful for finding modes, medians, and ranges for data sets.
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Two rectangular pyramids were joined at their bases to form the composite figure. One pyramid has 2 triangular sides with a base of 15 centimeters and height of 16.4 centimeters, and 2 triangular sides have a base of 10 centimeters and height of 17.3 centimeters. The other pyramid has 2 triangular sides with a base of 15 centimeters and height of 23.8 centimeters, and 2 triangular sides with a base of 10 centimeters and height of 24.4 centimeters. What is the surface area of the figure? 1,020 cm2 1,175 cm2 1,325 cm2 2,050 cm2
Answer:
A) 1020 cm²
Step-by-step explanation:
8 sides
2[(½×15×16.4) + (½×10×17.3) + (½×15÷23.8) + (½×10×24.2)]
2(510)
1020 cm²
Answer:
1020 cm²
Step-by-step explanation:
A = 2×15×16.4/2 + 2×10×17.3/2 + 2×15×23.8/2 + 2×10×24.4/2
= 15×16.4 + 10×17.3 + 15×23.8 + 10×24.4
= 246 + 173 + 357 + 244
= 1020 cm²
What are the coefficients of -4x - 7y + 21z?
Answer:
-4
-7
21
Step-by-step explanation:
a coefficient is the number before the variable
Answer:
-4, -7, 21
Step-by-step explanation:
Coefficients are a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x)
So in this problem -4, -7 and 21 are the coefficients
Question in photo pls help
Answer:
Im pretty sure its C 1.5
Step-by-step explanation:
Trevor took big steps to find the length of the shadow of the big pine tree infront of the school
The big pine tree is approximately 64 feet tall, based on Trevor's estimates of its shadow and the building's shadow.
To find the height of the big pine tree, we can use proportions based on the relationship between the lengths of the shadows and the heights of the objects.
Let's denote:
[tex]- \( S_t \)[/tex] as the length of the shadow of the tree,
[tex]- \( H_t \)[/tex] as the height of the tree,
[tex]- \( S_b \)[/tex] as the length of the shadow of the building, and
[tex]- \( H_b \)[/tex] as the height of the building.
From Trevor's estimates:
[tex]- \( S_t = 48 \)[/tex] feet,
[tex]- \( S_b = 18 \)[/tex] feet, and
[tex]- \( H_b = 24 \)[/tex] feet.
We can set up a proportion to solve for [tex]\( H_t \):[/tex]
[tex]\[ \frac{H_t}{S_t} = \frac{H_b}{S_b} \][/tex]
Substituting the given values:
[tex]\[ \frac{H_t}{48} = \frac{24}{18} \][/tex]
Cross-multiplying:
[tex]\[ 18 \times H_t = 24 \times 48 \][/tex]
[tex]\[ 18H_t = 1152 \][/tex]
[tex]\[ H_t = \frac{1152}{18} \][/tex]
[tex]\[ H_t = 64 \][/tex]
Therefore, the big pine tree is approximately 64 feet tall.
The complete question is:
EVALUATE Trevor took big steps to find the length of the shadow of the big pine tree in front of the school. He estimated that the shadow was 16 yards long, or about 48 feet. He also stepped off the shadow cast by the two-story school building and estimated that its shadow was 18 feet long. Trevor thinks the building is 24 feet tall. About how many feet tall is the big pine tree?
which of the following equations could be used to determine the value of X
Answer:
D
Step-by-step explanation:
If the original price is x and you deduct 3, you'l have x - 3.
If you buy 4 of them, you multiply that price by 4, giving you 4(x - 3).
Then, if that value is equal to 27, you get 4(x - 3) = 27
Answer:
D
Step-by-step explanation:
We can make each part of the problem into a expression, and combine them.
Part 1: A picture frame that normally costs $x is discounted by 3.
x-3
Part 2: I decided to purchase 4 of the discounted picture frames
4(x-3)
You are buying 4, and each costs x-3.
Part 3: The total cost of the four frames, excluding tax, is $27.
4(x-3)=27
Find the square root(s) (I need a step by step answer)
Answer:
[tex]\frac{1}{\\3}[/tex]
Step-by-step explanation:
±[tex]\sqrt{ \frac{1}{9}[/tex] = ± [tex]\frac{\sqrt{1}}{\sqrt{9}}[/tex] = ± [tex]\frac{1}{3}[/tex]
there is a ± sign as both positive and negative numbers squared are positive, so the answer could be eitherWhich would be the best sample for
determining the favorite sport of students
at Harrison Middle School?
A. ten students at a movie theater
B. every tenth student entering the
school in the morning
C. five students from each of the
school’s sports teams
D. the first ten students in the cafeteria
at lunchtime
Answer:
It would either be B or C. More than likely it would be B.
Step-by-step explanation:
A 12-sided die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} . Find the probability of rolling a number greater than 1.
Answer:
11/12
Step-by-step explanation:
Greater than 1: 2,3.... 12
P(greater than 1) = 11/12
Answer:
11/12 or 0.91666 or 91.6%
Step-by-step explanation:
Any number above one makes up 11 out of the 12 options.
Which expressions are equivalent to t = 2( -h - 3)
A t = - 6 - 2h
B t = 4h -6h - 6
C t = - 2h - (-6)
D t = - (6 + 4h)
Robin can bake 140 cupcakes in 5 hours.
a. At this rate, how many cupcakes does she
bake per hour? (Per means one, which is a
clue that you need to find the unit rate.)
Answer:
28.
Step-by-step explanation:
28 x 5 = 140
140 divided by 28 = 5.
5 hours.. 140 cupcakes. You divide the amount by the hours, showing you that 28 cupcakes per hour is the answer.
Answer: Per hour, Robin makes 28 cupcakes.
Step-by-step explanation:
To find the unit rate, you are essentially finding one of something. In this case you were finding out how many cupcakes you could make in ONE hour. To do this, you had to look at the information you already had. You knew that 140 cupcakes were made in 5 hours. So the fraction is 140/5. If you divide the bottom and top by five, your new equation would be 28/1.
(Vote me brainliest answer please)
Quadratic fort
Solve.
-6 + 3x – 9x2 = -16
Choose 1 answer:
You go to the store to buy shoes and realize they are marked at 30% off. If the original price
of the shoes is $55, what will the discounted price be?
A. $38.50
B. $53.35
c. $25.00
Answer:
A
Step-by-step explanation:
70% of 55 is 38.5
or u could do 30% of 55 = 16.5
55 - 16.5 = 38.5
Answer:
Step-by-step explanation:
Discount = 30% of 55
[tex]=\frac{30}{100}*55\\\\=0.3*55\\\\=16.5\\\\[/tex]
= $ 16.50
Price after discount = 55 - 16.50 = $38.50
What is the mood of the expert of the monkey paw? A.) fearful B.) Irritated C.) playful D.) Energetic
Answer:
I believe its A. Fearful.
Step-by-step explanation:
Because his story is dark and malicious because of the mood its is dark and foreboding
What is the difference between "Probability" and "Statitistics"?
Answer: Probability deals with predicting future events but statistics involves an analysis of the frequency of past events
Step-by-step explanation:
Your answer is incorrect.
The diameter, D, of a sphere is 16.8 cm. Calculate the sphere's volume, V.
Use the value 3.14 for , and round your answer to the nearest tenth. (Do not round any intermediate computations.)
V=
?
Answer:
Using the formula of 4/3pir^3, the answer is
Step-by-step explanation:
1) Divide the diameter by 2
2) Plug into your formula
3) cube root it
4) multiple 4
5) Divide the answer by 3
6) use a calculator to multiple the answer with pi
Lily provider a loan of $2500 to David that had an annual interest rate of 4.6%. Find the balance after 5 years if itcompounded yearly
Answer:
The balanced amount is $3130.25.
Step-by-step explanation:
Given : Lily provider a loan of $2500 to David that had an annual interest rate of 4.6%.
To find : The balance after 5 years if it compounded yearly ?
Solution :
Using compound interest formula,
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where, P=$2500 is the principal
r=4.6%=0.046 is the interest rate
t=5 years
Substitute the values,
[tex]A=2500(1+\frac{0.046}{1})^{5\times 1}[/tex]
[tex]A=2500(1.046)^{5}[/tex]
[tex]A=2500\times 1.2521[/tex]
[tex]A=3130.25[/tex]
Therefore, the balanced amount is $3130.25.
What is happening from ABCDE to A’B’C’D’E’?
2. Find 2 different ways
to get from the
pre image to the image
Answer: 1. it is being rotated by -180 degrees.
2. two different ways to get from a pre image to a image is to dilate and rotate it.
Step-by-step explanation:
The sequence of transformations is
A reflection across the x-axis followed by the y-axis and vice versaA 180 degrees rotationHow to determine the sequence of transformationsFrom the question, we have the following parameters that can be used in our computation:
ABCDE and A'B'C'D'E
Also, we can see that
The point in different directions, share the same center and are in adjacent quadrants
So, a possible transformation is
A reflection across the x-axis followed by the y-axis and vice versa
Another possible transformation is
A 180 degrees rotation
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Lucy has the spinner pictured and
spins it twice in a row. What is the
probability that she lands on blue
first and then on yellow or green?
Answer:
d
Step-by-step explanation:
Final answer:
To find the probability of landing on blue first and then on yellow or green, one must multiply the probability of landing on blue by the combined probability of landing on yellow or green. However, exact probabilities cannot be provided without more information about the spinner.
Explanation:
The student is asking about the probability of a sequence of events occurring with a spinner. To calculate the probability of landing on blue first and then on yellow or green on the second spin, we must first know the individual probabilities of landing on each color. Assuming the spinner is fair and has equal sections for each color, the probability of landing on blue on the first spin (P(B)) and the probability of landing on yellow (P(Y)) or green (P(G)) on the second spin need to be calculated separately.
The probability of two independent events occurring in sequence is the product of their individual probabilities. Therefore, if the probability of landing on blue first is P(B), and the combined probability of landing on either yellow or green on the second spin is P(Y or G), then the total probability of the sequence is P(B) multiplied by P(Y or G). However, without the exact probabilities or a clear description of the spinner, we cannot provide a numerical answer.
Bella pushes a box to her right. In which direction does the box need to move for Bella to have done work n on it
Answer:
left
Step-by-step explanation:
if she pushes it right then she would have to push it left back to her to work on it
It needs to move to the left
Please answer correctly, will mark brainliest answer !!!
The student's request doesn't provide a specific academic question to be answered but seeks assistance on how to cater and format a potential answer.
Explanation:No actual question has been provided; the student request outlines the type of assistance they need rather than posing a specific question related to a particular subject area.
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