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.Kate wants to paint every surface of the paperweight
diagrammed
The area of the base of the rectangular prism is
cm²
The area of each triangular base of the triangular prism
is cm2
The lateral area of the rectangular prism is
cm2
The total surface area of the paperweight is
cm2
Answer:
The area of the base of the rectangular prism is 200 cm2.
The area of each triangular base of the triangular prism is 45 cm2.
The lateral area of the rectangular prism is 720 cm2.
The total surface area of the paperweight is 1,210 cm2
Step-by-step explanation:
Hope this helps!
Which number is equal to 10 Superscript negative 3?
–1,000
–30
0.001
0.003
Answer:
Step-by-step explanation:
0.001
Answer:
0.001
Step-by-step explanation:
Any number to a negative exponent is equal to 1/number^exponent
Ex: 2^-2 = 1/2^2
10^3 = [tex]\frac{1}{10^{3} }[/tex] = [tex]\frac{1}{1000\\}[/tex] = 0.001
Consider that a data set of 10 data points has a mean of 5. If every data point was doubled in the set, how might that affect the mean of the data set?
a) The mean would double to 10.
b) The mean would increase by 2 to 7
c) The mean would increase by 50.
d) The mean would remain to be 5.
Answer:
A) The mean would double to 10.
If every data point in a set is doubled, the mean of the set will also double. In this case, the original mean is 5, so when data points are doubled, the mean would be 10.
Explanation:The subject of this question is how the mean of a data set changes when all data points are doubled. The mean, or average, of a data set is calculated by adding all the data points and dividing by the number of points. When every data point is doubled, each point will become twice its original value. This essentially means adding the same set of data points to the original set, thus doubling the sum. When this new sum is divided by the number of data points (which remains the same), the result also doubles. Therefore, if the mean of the original data set is 5, when every data point is doubled, the mean would also be doubled, which means the new mean is 10 – so the correct answer is (a) The mean would double to 10.
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Find a positive number that equals 110 when added to its square
Answer:
10
Step-by-step explanation:
Answer:
The answer is 10
Step-by-step explanation:
(x+11) (x-10) = 0
Positive Solution:
x = 10
Indicate the equation of the line, in standard form, that passes through (2, -4) and has a slope of 3/5. Enter your answer into the blank equation box. a0
Answer:
-3/5x + y = - 26/5
Step-by-step explanation:
First, I put everything in slope-intercept form, just because it's more simple for me.
y = 3/5x + b
Since we don't have b, we can use the coordinate they give us to solve for it.
-4 = 3/5 (2) + b
-26/5 = b
y = 3/5x - 26/5
Now, we can move the variables around to fit the form:
Ax + By = C
-3/5x + y = - 26/5
I hope this helped!
solve for 3 tanx = sqrt3 tanx
Answer:
Correct Answer is D.
Step-by-step explanation:
Solve for tanx,
3tan2x−√3tanx=0
√3tanx(√3tanx−1)=0
Thus tanx=0,tanx=1√3
For tan x =0, the principal solution is x=0,π
For tanx=1√3, the principal solution would be x=π/6,7π/6
The solutions are x = nπ, where n is any integer.
We are given the trigonometric equation 3 tan(x) = √3 tan(x). To solve for x:
Subtract √3 tan(x) from both sides of the equation to get all terms involving tan(x) on one side: Factor out tan(x): Set each factor to zero and solve for x: tan(x) = 0 when x is an integer multiple of π:x = nπ where n is any integer.
This represents all angles where the tangent is zero.
) 6. What is the volume of the composite figure
below?
9ft
6ft/
27 ft
Chapter 11 703
Which point is on the graph of the function
f(x) = One-half(2)x?
(0, 1)
(0, 2)
(1, One-half)
(1, 1)
Answer:
1,1
Step-by-step explanation:
Answer:
The answer is D (1,1)
Step-by-step explanation:
6. The temperature of an iron block decreases from 85°C to 25°C. If the mass for
the block is 1.2 kg, calculate the heat lost by the block. (Citon = 0.115 cal/g.°C)
Answer:
8280 cal
Step-by-step explanation:
Q=mc(delta)T
Q=1200(0.115)(-60)
Q=8280 cal
I used 1200 g instead of 1.2 kg
PLZ HELP!!! Will mark brainliest if answers are correct and give a thanks with rating of 5. I'm being timed I need answer as soon as possible. 20 points!!!
1. Jamal, Rick, and Maria ran for sixth-grade class president. The election results are shown:
Jamal 60 votes
Rick
50 votes
Maria 40 votes
What is the ratio, in simplest form, of the number of votes Rick received to the number of votes
Jamal received?
The ratio of votes Rick received to the votes Jamal received, in simplest form, is 5:6. This was calculated by dividing Rick's 50 votes by Jamal's 60 votes and then reducing the resulting fraction.
Explanation:The question asks for the ratio of the number of votes Rick received to the number of votes Jamal received in a sixth-grade class president election. To find this ratio, we simply divide the number of votes each candidate received. Rick received 50 votes, and Jamal received 60 votes.
Now we divide Rick's votes by Jamal's votes: 50 ÷ 60. When we reduce this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 10 in this case. So, the simplified ratio is 5:6. This means that for every 6 votes Jamal received, Rick received 5 votes.
Find the side length. Round to the nearest tenth if necessary.
15
Answer:
x = 39
Step-by-step explanation:
This is pythagoras
x = √36² + 15²
x = √1296 + 225
x = √1521
x = 39
Hopefully it helps you
Ask if u don't understand
The seventh-grade spring class trip will either be to a zoo or an art museum. Which survey method is most likely to provide a biased sample?
Answer:
7) A school group is assigned to survey vast museum collections of all macroscopic (not microscopic) animal species collected from various regions around the world. What observation are the students most likely to make? A) The majority of the animals are wormlike. B) The majority of the animals possess a …
Step-by-step explanation:
ratio question
I will mark brainliest
The answers to the questions are 3 and 225000 respectively.
Using the ratio :
1 : nExpressing the values on terms of minutes
1 hour = 60 minutesNow we have :
20 : 60Divide through by 20
1 : 3Hence , n = 3
2.)
Using the ratio
1 : 250001 cm on the map represents 25000 kilometers on ground
9cm would be :
9 × 25000 = 225000Hence, 9 cm would represent 225000 kilometers on ground.
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The dot plot below shows Angela's bowling scores for her last ten games.
144 146 148 150 152 154 156 158 160
Bowling Scores
What is the interquartile range of the data set shown?
OA. 12
OB. 16
Oc. 3
OD. 8
Answer:
8
Step-by-step explanation:
Study Island
Final answer:
The interquartile range of Angela's bowling scores is determined by calculating the difference between the third quartile (Q3) and the first quartile (Q1). In this case, the IQR is D. 8.
Explanation:
To find the interquartile range (IQR) of Angela's bowling scores, we need to identify the first quartile (Q1, 25th percentile) and the third quartile (Q3, 75th percentile) of her data set. The scores are already in ascending order: 144, 146, 148, 150, 152, 154, 156, 158, 160. With ten scores, Q1 will be the average of the 2.5th and 3.5th data points (which is the score at position 3), and Q3 will be the average of the 7.5th and 8.5th data points (which is the score at position 8).
When we look at the data, the first quartile Q1 is at the score 150 (the average of the third and fourth scores since they are the same), and the third quartile Q3 is at the score 158 (the average of the eighth and ninth scores since they are the same). So, the interquartile range is Q3 - Q1 = 158 - 150 = 8.
The correct answer is D. 8.
Cara started working for $9 per hour. She earns a 4% raise every year. What is her
hourly wage after three years?
04:49
app.mymaths.co.uk
83
Satnam is making a cake. He uses a batter made of 300 g of
dry ingredients. If the liquid has to be two sevenths of the
total weight of the batter, how much liquid should he add?
Suppose your SAT score is 910. You look up the average SAT scores for
students admitted to your preferred colleges and find the list of scores below.
Based on your SAT score of 910, which average score below represents the
college that would be your best option?
O A 1470
O B. 1420
O C. 1190
O D. 900
Answer:
Option D: 900
Step-by-step explanation:
Please kindly check the attached files for further explanation.
Final answer:
The best option for a college based on an SAT score of 910 is the one with an average SAT score closest to this, which is option D with an average score of 900.
Explanation:
Based on your SAT score of 910, the college with the average SAT score closest to your score would likely be your best option. Among the options given:
A. 1470
B. 1420
C. 1190
D. 900
Option D, with an average SAT score of 900, represents the college that is most aligned with your score of 910 and would probably be the most attainable based on the SAT score alone. However, keep in mind that colleges consider a mix of factors including GPA, community service, and other inputs beyond just SAT scores for admissions.
What two angle measurements could create a set of complementary angles?
What two angle measurements could create a set of supplementary angles?
Answer:
Example: 45+45
Example: 100+80
Step-by-step explanation:
Any two angles that sum to 90 degrees will create a set of complementary angles, and any two angles that sum to 180 degrees will create a set of supplementary angles.
Membership toa music club cost $60. Members pay $25 per music lesson and nonmembers pay $30 per music lesson. how many music lessons would have to be taken for the cost to be the same for members and nonmembers?
Answer:
150
Step-by-step explanation:
Members would have to pay 6 time and nonmembers would have to pay 5 time because if members pay 25 then 25 time 6 is 150 and if nonmembers pay 30 then if you time 30 by 5 you get 150
Four boxes are shown in order from the largest volume to the smallest volume. For each box, all of the dimensions are 3.5cm less than the next larger box. To the nearest cubic centimeter, what is the volume of box D?
Answer:
C
Step-by-step explanation:
It would be -12 to go to the last cube so u subtract 12 from every number then multiply the numbers
The correct answer is option B. The volume of box D is approximately 1,715 cubic centimeters.
To find the volume of box D, we'll start by determining the dimensions of each box in sequence from box A to box D. We'll then calculate the volume of box D.
Step-by-Step Process
1. Determine the dimensions of box A:
Length [tex]\( L_A = 32 \) cm[/tex]
Breadth [tex]\( B_A = 25 \) cm[/tex]
Height [tex]\( H_A = 16 \) cm[/tex]
2. Calculate the volume of box A:
[tex]\[ V_A = L_A \times B_A \times H_A = 32 \times 25 \times 16 \][/tex]
[tex]\[ V_A = 12800 \text{ cubic centimeters} \][/tex]
3. Determine the dimensions of box B:
Each dimension is 3.5 cm less than the corresponding dimension of box A.
Length [tex]\( L_B = L_A - 3.5 = 32 - 3.5 = 28.5 \) cm[/tex]
Breadth [tex]\( B_B = B_A - 3.5 = 25 - 3.5 = 21.5 \) cm[/tex]
Height [tex]\( H_B = H_A - 3.5 = 16 - 3.5 = 12.5 \) cm[/tex]
4. Determine the dimensions of box C:
Each dimension is 3.5 cm less than the corresponding dimension of box B.
Length [tex]\( L_C = L_B - 3.5 = 28.5 - 3.5 = 25 \) cm[/tex]
Breadth [tex]\( B_C = B_B - 3.5 = 21.5 - 3.5 = 18 \) cm[/tex]
Height [tex]\( H_C = H_B - 3.5 = 12.5 - 3.5 = 9 \) cm[/tex]
5. Determine the dimensions of box D:
Each dimension is 3.5 cm less than the corresponding dimension of box C.
Length [tex]\( L_D = L_C - 3.5 = 25 - 3.5 = 21.5 \) cm[/tex]
Breadth [tex]\( B_D = B_C - 3.5 = 18 - 3.5 = 14.5 \) cm[/tex]
Height [tex]\( H_D = H_C - 3.5 = 9 - 3.5 = 5.5 \) cm[/tex]
6. Calculate the volume of box D:
[tex]\[ V_D = L_D \times B_D \times H_D = 21.5 \times 14.5 \times 5.5 \][/tex]
[tex]\[V_D = 1714.625 \text{ cubic centimeters}\][/tex]
[tex]\[V_D \approx 1715 \text{ cubic centimeters}\][/tex].
The complete question is:
Four boxes are shown in order from the largest volume to the smallest volume. For each box, all of the dimensions are 3.5cm less than the next larger box. To the nearest cubic centimeter, what is the volume of box D?
A. 3,657 cubic centimeters
B. 1,715 cubic centimeters
C. 1,044 cubic centimeters
D. 299 cubic centimeters
Which statements are true about the unknown side length in this right triangle? Check all that apply.
A triangle with side StartRoot 13 EndRoot meters and hypotenuse of 6 meters.
The equation a squared + (StartRoot 13 EndRoot) squared = 6 squared can be used to find the unknown length.
The equation (StartRoot 13 EndRoot) squared + b squared + 6 squared can be used to find the unknown length.
The equation (StartRoot 13 EndRoot) squared + 6 squared = c squared can be used to find the unknown length.
The length of the unknown leg is StartRoot 23 EndRoot meters.
The length of the unknown leg is 7 meters.
Answer:
1,2,4
Step-by-step explanation:
edge 2020 hope this helps :>
Final answer:
The true statement about finding the unknown side length of the triangle is that the equation a² + (√13)² = 6² can be used, following the Pythagorean theorem. Other stated equations and proposed lengths are incorrect based on the theorem's application.
Explanation:
The question involves applying the Pythagorean theorem to a right triangle with given side lengths. According to the theorem, in any right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two legs (a and b). Therefore, the equation that can be used to find the unknown side length is a2 + b2 = c2. Given a triangle with one side as √13 meters and the hypotenuse as 6 meters, we can solve for the unknown leg.
Firstly, correct application for the Pythagorean theorem here is a2 + (√13)2 = 62, indicating the first statement is true. By substituting √13 for one leg and 6 for the hypotenuse, squaring the values and rearranging, we find the length of the unknown leg. The correct calculation leads to the discovery that the unknown leg length cannot be 7 meters or √23 meters, as those do not fit the requirements set by the question's parameters.
Therefore, the true statements are:
The equation a2 + (√13)2 = 62 can be used to find the unknown length.
Other suggested equations are incorrect applications of the Pythagorean theorem, and the provided side lengths do not result in the unknown leg measuring √23 or 7 meters.
The sum of 3 times a number and 9 equals 4 use the variable b for the unknown number write in an equation
Answer: b= -5 over 3
Step-by-step explanation:
create the equation 3b + 9 = 4
subtract 9 from each side to isolate the variable
we are left with 3b = -5
to further isolate the variable divide by 3
3b/3 = -5/3
3b divided by 3 is b, which is equal to -5 divided by 3; -5/3
b = -5/3 is your answer
Final answer:
To represent the statement 'The sum of 3 times a number and 9 equals 4' with b as the unknown number, the equation is 3b + 9 = 4. Solving for b gives us b = -5/3.
Explanation:
The question asks to write an equation with the variable b as the unknown number, where three times this number plus nine is equal to four. To write the equation we need to translate the sentence into mathematical terms: three times a number can be expressed as 3b, and 'the sum of 3 times a number and 9' can be written as 3b + 9. Therefore, the complete equation that represents the sum of 3 times a number and 9 equals 4 is 3b + 9 = 4.
To solve for b, we can carry out some simple math by subtracting 9 from both sides to get 3b = -5, and then dividing both sides by 3 to find the value of b, which would be b = -5/3.
HELP PLEASE 25 POINTS
Answer:
$15, $8, $1, respectively
Step-by-step explanation:
Line up the number of years with the line and check the pay.
Answer:
1. $15
2. $8
3. $1
Step-by-step explanation:
Line the number of years and see the pay of them. I hope this helps! Please mark me brainliest!
Can someone help me please
Answer:
p - 14.5 = 53
p = 67.5
Step-by-step explanation:
53 + 14.5 = 67.5
Noah has $10 to spend at the produce market. Can he buy 7 apples and 2 oranges?
Answer:
can you describe how much an apple and an orange costs?
Step-by-step explanation:
Answer:
if Noah has $10 to spend at the market then depending on the cost of apples and oranges would be weather or not he can get 7 apples and 2 oranges
Step-by-step explanation:
What is the value of this expression when a = 3 and b = negative 2? (StartFraction 3 a Superscript negative 2 Baseline b Superscript 6 Baseline Over 2 a Superscript negative 1 Baseline b Superscript 5 Baseline EndFraction) squared
Answer:
1
Step-by-step explanation:
for the points
Answer:
1
Step-by-step explanation:
you're welcome :)
A basketball player makes 80% of her free throws. The random numbers below represent 20 trials for
a simulation. Let the numbers 0 to 7 represent a made free throw and let 8 to 9 represent a missed
free throw. Use this simulation to estimate the probability that the player makes both free throws.
(8,2) (9,3) (4,0) (5,8) (2,7) (2,0) (5,4) (8,0) (0,4) (9.1)
(9,6) (6,5) (4,4) (1,7) (0,4) (8,5) (8,8) (1,7) (3,5) (0,3)
Answer:
0.6
Step-by-step explanation:
The numbers 0 to 7 represent a made free throwThe numbers 8 to 9 represent a missed free throw.Given the simulation data
(8,2) (9,3) (4,0) (5,8) (2,7) (2,0) (5,4) (8,0) (0,4) (9.1)
(9,6) (6,5) (4,4) (1,7) (0,4) (8,5) (8,8) (1,7) (3,5) (0,3)
A pair that contains only numbers between 0 and 7 shows the player makes both throws.These pairs are:
(4,0) (2,7) (2,0) (5,4) (0,4) (6,5) (4,4) (1,7) (0,4) (1,7) (3,5) (0,3)
There are a total of 12 cases where the player makes both throws.
Therefore:
P(Player makes both throws)=12/20=0.6
2S
Alexandra wants to buy a CD for $400 that earns 4% APR and is compounded
quarterly for 3 years. She will be taxed on 20% of the interest that she earns.
What is the total amount of interest Alexandra will earn, after taxes?
O A. $40.58
O B. $12.99
O c. $16.24
O D. $50.73
SUBMIT
The total amount of interest Alexandra will earn, after taxes is, $51.05.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, To calculate the total amount of interest Alexandra will earn, we first need to calculate the annual interest rate.
Since the APR is 4%,
Hence, we can calculate the quarterly interest rate by dividing 4 by 4 = 1%.
Next, we need to calculate the number of quarters in 3 years which is,
⇒ 3 x 4 = 12 quarters.
Now, Using the formula for compound interest, we can calculate the balance of Alexandra's account at the end of the 3-year period:
Balance = Principal (1 + (rate/n))ⁿˣ
where, P = Principal = $400
r = Annual interest rate = 4%
n = Number of times interest is compounded per year = 4 (quarterly)
x = Number of years = 3
Plugging in the values,
Balance = $400 (1 + (0.04/4))¹²
= $463.81
Next, we need to calculate the total amount of interest Alexandra earned, which is the difference between the balance and the principal:
Total interest earned = $463.81 - $400 = $63.81
Since Alexandra will be taxed on 20% of the interest, we need to calculate the amount of tax she will pay:
Tax = 20% of $63.81
= $12.76
Finally, we can calculate the total amount of interest Alexandra will earn after taxes:
Total interest earned after taxes = $63.81 - $12.76 = $51.05
Therefore, the correct answer is, $51.05.
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Answer:
40.58
Step-by-step explanation:
A figure was created using a triangle with the base of 17cm and the base of 21cm and semicircle with a diameter of 21cm.
Which measurement is closest to the area of the figure in square centimeters
A) 259.59 sq. cm
B) 351.59 sq. cm.
C) 451.59 sq. cm
D) 551.59 sq. cm
Answer:
.
Step-by-step explanation: