Step-by-step explanation:
Displacement = 576 m
Time taken = 32s
Now
[tex]average \: speed = \frac{distance \: travelled}{time \: taken} \\ = \frac{576}{32} \\ = 18 m/s[/tex]
Find the volume of a right rectangular prism if the dimensions of the base are 6.8 centimeters by 12.5 centimeters and the height is 13 centimeters.
A.
B.
C.
D.
Answer:
6.8 x 12.5 x 13 = 1105
Step-by-step explanation:
Answer:
the answer is 1105
Step-by-step explanation:
Prisms A and B are similar. The volume of prism A is 375cm3. The volume of prism B is 648cm3. The surface area of prism A is 250cm2. Work out the surface area of prism B.
Answer:
We have the length, width, and height of the rectangular prism, so we can calculate V=l×w×h=20cm×10cm×10cm=2,000cm3 V = l × w × h = 20 cm × 10 cm × 10 cm = 2 , 000 cm 3
The surface area of Prism B is approximately 367.25 cm^2.
Since Prisms A and B are similar, their corresponding sides are in proportion, and their volumes are related by the cube of the scale factor between them.
Let the scale factor between Prism A and Prism B be k. Then:
Volume of Prism A / Volume of Prism B = (Side length of Prism A / Side length of Prism B)^3
Given that the volume of Prism A is 375 cm^3 and the volume of Prism B is 648 cm^3, we can set up the equation:
375 / 648 = (Side length of Prism A / Side length of Prism B)^3
Now, let's solve for the scale factor (k):
k^3 = 375 / 648
k^3 = 0.5787037037
k ≈ 0.825 (rounded to three decimal places)
Now, since the surface area of a prism is proportional to the square of its side length, we can find the ratio of the surface areas:
(Surface area of Prism A / Surface area of Prism B) = (Side length of Prism A / Side length of Prism B)^2
Given that the surface area of Prism A is 250 cm^2, we can find the surface area of Prism B:
Surface area of Prism B = Surface area of Prism A / (k^2)
Surface area of Prism B = 250 / (0.825^2)
Surface area of Prism B ≈ 250 / 0.680625
Surface area of Prism B ≈ 367.25 cm^2
Therefore, the surface area of Prism B is approximately 367.25 cm^2.
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1. Each year, the third Thursday in March is named Kangaroo Day. The dates of Kangaroo Day for the next few
years are shown below, with one error. Which date is wrong?
(A)17/3/2022
(B) 16/3/2023
(C) 14/3/2024
(D) 20/3/2025
(E) 19/3/2026
Answer:
the eero is on date in answer 'c' because the date of kangaroo is in an arrangement form
Answer:
14/3/2024 is on a Thursday, but it is the second Thursday, not the third.
Step-by-step explanation:
If the first Thursday falls on March 1, the soonest the third Thursday could occur is 7+7+1 = March 15.
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
V29x6
Answer:
x 3 -2x
Step-by-step explanation:
45 points!
x+1(8+5)+y2-3(x3+y-4)=36-4+x7-y-1
pls i need help now!
This is a 30-60-90 triangle.
What is the measure of x?
Rationalize the denominator.
[?]
х
X=
7
Answer:
x = [tex]\frac{2\sqrt{21}}{3}[/tex]
Step-by-step explanation:
For a 30-60-90 triangle:
Short leg = sLong leg = s√3Hypotenuse = 2sThus:
Short leg = √7/√3 = (√21)/3Long leg = √7Hypotenuse = x = 2(√21)/3Answer:
2 21 3
Step-by-step explanation:
The length of time that the girls ran was 20 percent greater than the length of time the boys ran.If the girls ran for 48 hours, how long did the boys run
Find two consecutive whole numbers that
124 lies between.
Answer: 123 and 125.
Step-by-step explanation:
a phone call from a pay phone cost $3.18 for a 10 minute call. what is the cost per minute for the call?
Answer:
$0.318 per minute
Step-by-step explanation:
3.18/10 = 0.318
3.18 divided by 10 equals 0.318
Answer:
3.18 cents per minute
Step-by-step explanation:
318 cents / 10 minutes = 3.18 cents per minute
factorise fully: 9x² + 3x³
Answer:
3x^2(3+x)
Step-by-step explanation:
please mark me as brainlest
Answer:
3x(3x+[tex]x^{2}[/tex])
Step-by-step explanation:
just take 3x as common and divide the other values by it
Find the side length of the regular octagon whose perimeter is 674 centimeters??
Quick Answer
Smarties
Answer:
a=84.25cm
Step-by-step explanation:
ayuda porfa, quien entiende???
Answer:
c
Step-by-step explanation:
the right answer is c it good
Jill usually rides her bike at a speed of 10 miles per hour. Let x represent the hours and y represent miles. Write an equation that shows the relationship between x and y.
Answer:
y = 10x
Step-by-step explanation:
If x represents the hours & y represents the miles, your equation should be in multiplication.
10 miles an hour would be 10x and y would be the total. You can also plug in the answer to check. Let's say x is 2. Plug that into 10x and you get 10(2) = 20 and since y is 20, that'd be 20 miles. Therefore, you'd be running 20 miles in 2 hours, which makes sense because your rate is 10 miles an hour.
Use substitution to solve the system.
-4x+5y = -26
y = 3x-14
Answer:
x= 4, y= -2
Step-by-step explanation:
To solve the system by substitution, start by labelling the two equations:
-4x +5y= -26 -----(1)
y= 3x -14 -----(2)
Since the second equation already has y as the subject of formula, we can substitute equation (2) into (1). This means that we can replace all the 'y's in equation (1) with 3x -4, such that equation (1) will only be in terms of x.
Substitute (2) into (1):
-4x +5(3x -14)= -26
Expand:
-4x +15x -70= -26
11x= 70 -26
11x= 44
Divide both sides by 11:
x= 44 ÷11
x= 4
Substitute x= 4 into (2):
y= 3(4) -14
y= 12 -14
y= -2
(6.1D; 6.1F)
-
1. Which expression is equivalent to 32?
A 23 + (4) – 4 x 2
B 3x3 + (42) - 4
C 42 – 7x0
+
-
D 4x 5 + 2 – 4 + 2
Hey there!
Option A.
23 + (4) - 4 * 2
= 23 + 4 - 4 * 2
= 27 - 4(2)
= 27 - 8
= 19
19 ≠ 32
Option B.
3 * 3 + (42) - 4
= 3 * 3 + 42 - 4
= 9 + 42 - 4
= 51 - 4
= 47
47 ≠ 32
Option C.
42 - 7 * 0
= 42 - 0
= 42
42 ≠ 32
Option D.
4 * 5 + 2 - 4 + 2
= 20 + 2 - 4 + 2
= 22 - 4 + 2
= 18 + 2
= 20
20 ≠ 32
None of them are equivalent to 32
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
your class wants to sell school spirit cups with the school logo on them .you teacher asks you to design this new cup such that a stack of 10cups will be 125 cm tall. describe key measurements of the school spirit cups and explain how they will meet the reqiured specifications
The class can make the school cup of 120.5 cm tall.
What is Equation?Equations include two sides on the left and right connected with equal to sign.
We can find the key measurements of the cups using the formula,
x + 10y = 125
where x is the height of one cup without including the lip length and y is the lip length.
x + y is the height of one cup.
There are various ways to form the measurement of x and y here.
Let y, the lip length of the cup be 1 cm tall. Then,
x + 10 = 125
⇒ x = 115
Length of 1 cup will be 115 + 1 = 116 cm.
Suppose length of lip, y be 0.5 cm. Then,
x + (10 × 0.5) = 125
x + 5 = 125
x = 125 - 5
x = 120 cm
Length of 1 cup will be 120 + 0.5 = 120.5 cm.
Similarly, we can have many measurements for the height of one cup.
Their logo can be placed in the middle of the cup taking the height of 80 cm leaving 20 cm on the top and bottom.
Hence the class can make the school cup of 120.5 cm tall.
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Please answer I am struggling
(For question 1 you have to do it yourself, get a ruler and measure the actual length of the drawing, then multiply it by 8 to get the actual dimensions in the exercise. )
Example, if you measure 4 inches, the actual dimension will be 4 x 8 = 32 ft
2. (Scale drawing 1:5 is that every 1 (length units) will be equal to 5(length units) in the actual dimensions)
Model : 3ft ; 7m
Actual : 15ft ; 35m (corresponding)
Actual : 20yd ; 12.5 cm
Model : 4yd ; 2.5 cm
6. 1.5 ft = 1.5 x 12 = 18 inches.
The model is 3 inches, and the actual rose is 18 inches -> The scale of the drawing is 6. (enlargement)
Same goes to the scale factor, but this time is the quotient of the corresponding side -> 3 : 18 = 1:6.
(If I got any parts wrong just tell me, I actually kinda forgot these kind of stuff)
A random sample of people were surveyed on their favorite sport, as shown in the table below sorted by the respondent’s age.
What percent of the people between the ages of 21 and 34 prefer other sport and/or hate sports? Round your answer to the nearest tenth of a percent.
Answer:
22.5%
Step-by-step explanation:
The total of people surveyed between 21-34 is 40 and the total number who prefer other or hate sports is 9 so the percent is 9/40 which is equal to 2.25. Multiply this number by 100 to get it as a percent and you have 22.5%
22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."
What is Percentage?Percentage is a way of expressing a fraction or a portion of a whole as a value out of 100. It is denoted by the symbol "%". Percentages are used to represent proportions, ratios, or rates in a more easily understandable and comparable form.
To find the percentage of people between the ages of 21 and 34 who prefer other sports and/or hate sports, we need to calculate the proportion of the total respondents in that age group who have chosen "Other/Hate Sports."
The table shows that there are 9 people between the ages of 21 and 34 who prefer "Other/Hate Sports" out of a total of 40 respondents in that age group.
So, Percentage = (Number of people with the preference / Total number of respondents in the age group) x 100
= (9 / 40) x 100
= 22.5%
Therefore, 22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."
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Which of the following correctly shows the first step when factoring 3wx + 3wy - 4zx - 4zy by grouping? (Please show simple or advance explanations - 35 points is rewarded :>)
A) 3w(x + y) - 4z(x + y)
B) 3w(x + y) + 4z(x - y)
C) 3w(x + y) + 4z(x + y)
D) w(3x + 3y) - z(4x + 4y)
The first step for factoring is 3w(x + y) - 4z(x + y). The correct option is (A).
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given algebraic expression is as below,
3wx + 3wy - 4zx - 4zy
In order to factorize it find the common factors for the group terms such that one of the factors is common for both the groups as follows,
3wx + 3wy - 4zx - 4zy
Take (3wx + 3wy) and (- 4zx - 4zy) as two groups.
The factor form for (3wx + 3wy) is 3w(x + y).
And, for (- 4zx - 4zy) it is -4z(x + y).
Thus, the given expression can be written as,
3wx + 3wy - 4zx - 4zy
= 3w(x + y) - 4z(x + y)
Hence, first step when factoring the given expression is 3w(x + y) - 4z(x + y).
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Which of the following are prime factors of both 24 and 42? Select all that apply.
Answer:
2 and 3
Step-by-step explanation:
So, 24=2x2x2x3
42=2x3x7
3 and 2
Answer:
2 and 3
Step-by-step explanation:
prime factors for 42: 2, 3, and 7
prime factors for 24: 2,2,2 and 3
Annabelle missed 30 questions on her multiple choice science final that had a total of 200 problems. What percentage of questions did Annabelle answer correctly?
Answer:
Annabelle answered 85% of the answers correctly.
Step-by-step explanation:
You would do 200-30 questiosn to get 170 questions that she answered right. You would then do 170/200 to get 0.85. 0.85 in decimal form is equal to 85%. I hope this helps! :)
what value of x makes the equation true x + 10=18
Answer:
its 8 cause 8+10=18 and you subtract 10 to 18 to get 8 again
Step-by-step explanation:
15. In the graph below, f(x) is a linear function and g(x) is an exponential function. Using the graph provided, what is
the equation for f(x)? What is the equation for g(x)?
Answer:
That'd be B. The red graph has the classic shape of an exponential function (y-intercept (0,1), and the blue on e has the shape of a log function (x-intercept (1,0). These two functions are inverses of one another, and so their graphs are reflections about the line y = x.
Step-by-step explanation:
Write an expression that is equivalent to 110% of a quantity, n
Answer:
[tex]\displaystyle 1\frac{1}{10}n[/tex]
Explanation:
Convert [tex]\displaystyle 110\%[/tex]to a mixed number, then set [tex]\displaystyle n[/tex]up next to it.
I am joyous to assist you at any time.
Help!! I’m so stuck!
Giving away all of my points in 100 point bursts. I have 1700 points. How people can I give to?
Total times can give:-
1700/10017One question can be answered by 2
Total persons=17(2)=34
Alex is playing a game
where he gets 8 points
8
every time his ball hits the
target. He gets an extra 8
points every time his ball
hits the target 8 times in a
row. How many points will
Brady receive if he hits the
target 8 times in a row?
Answer:
72 points
Something important to note is that 8 is the constant,If you can get 8 each time that would be the same as doing 8+8+8...
If he hits it 8 times in a row, that means the constant was being multiplied 8 times, 8+8+8+8+8+8+8+8=64The problem also states that if he hits it 8 times in a row you add 8 more points.
64+8=72
Therefore, the answer is 72There are 72 points Brady receive if he hits the target 8 times in a row.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Alex is playing a game where he gets 8 points 8 every time his ball hits the target.
And, He gets an extra 8 points every time his ball hits the target 8 times in a row.
Hence, Number of points Brady receive if he hits the target 8 times in a row is,
⇒ 8 x 8 + 8
⇒ 64 + 8
⇒ 72
Thus, There are 72 points Brady receive if he hits the target 8 times in a row.
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another question plssss
Answer:
(a) ∠1 and ∠5
Step-by-step explanation:
Complementary angles are angles whose measures total 90°. The angles do not have to be adjacent.
__
In this geometry, we can see that angles 1 and 2 are complementary, as are angles 4 and 5, since their respective sums are right angles. Angles 2 and 5 are vertical angles, so have the same measure.
∠1 + ∠2 = 90° . . . . . . adjacent angles that total a right angle
∠1 +∠5 = 90° . . . . . substitute ∠5 for ∠2, since measures are equal
This means angles 1 and 5 are complementary.
math work pls help!!
Answer:
Step-by-step explanation:
The graph is generally increasing. Thus, as the weight increases, the cost increases with it.
Here’s one of the answer options
Answer: (x - 2)^2 + (y + 3)^2 = 18 3(2^(1/2)) (2,-3)
Step-by-step explanation:
7x^2 - 28x + 7y^2 + 42y - 35 = 0
divide 7 out
x^2 - 4x + y^2 + 6y - 5 = 0
add 5 to other side
x^2 - 4x + y^2 + 6y = 5
solve by completing the square
take b values divide them by 2 square and add to both sides
-4/2 = -2
-2^2 = 4
6/2 = 3
3^2 = 9
X^2 - 4x + 4 + y^2 + 6y +9 = 4 + 9 +5
(x - 2)^2 + (y + 3)^2 = 18
(x - k)^2 + (y - h)^2 = r^2
r^2 = 18
r = [tex]\sqrt{18}[/tex] = 3[tex]\sqrt{2}[/tex] = 3(2^(1/2))
center of circle = (2,-3)
The expression 11.5+ (4+ (-6.5)) is to be rewritten by applying the commutative
and associative properties of addition. If you use each property only one time,
which expression could be the result?
O (11.5+ (-6.5)) + 4
O 11.5+ (2.5)
O (4+ (-6.5)) +11.5
O (11.5 + 4) + (-6.5)
Answer:
C. [tex](4+ (-6.5)) +11.5[/tex]
Step-by-step explanation:
Just exchange:
11.5 + (4 + ( - 6.5 ) )
⇒ (4+ (-6.5)) +11.5
After applying the property the expression would be (4+ (-6.5)) +11.5.
What is Associative property?Changes to the order of the addends have no effect on the sum, according to the associative feature of addition.
For example, ( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) or (2 + 3) + 4
Given:
11.5+ (4+ (-6.5))
In Above case we can use the Associative property over addition.
For this we just need to exchange the position of number along with their signs.
So, 11.5+ (4+ (-6.5))
= (4+ (-6.5)) +11.5
Hence, after applying the property the expression would be (4+ (-6.5)) +11.5.
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