Answer:
14(1.56) + 18h = 32(1.515)
21.84 + 18h = 48.48
18h = 26.64
h = 1.48 meters
The mean height of the girls in the class is 1.48 meters.
Explanation:To calculate the mean height of the girls in the class, we will use the information provided about the mean heights of the boys and the entire class. Since we know the mean height of the 14 boys is 1.56 meters, we can find the total height of all boys by multiplying 1.56 by 14, which equals 21.84 meters. For the entire class of 32 students, the mean height is 1.515 meters. Multiplying 1.515 by 32 gives us the total height for the entire class, which is 48.48 meters. To find the total height of the girls, we subtract the total height of the boys from the total height of the class: 48.48 meters - 21.84 meters = 26.64 meters. Since there are 32 students in total and 14 boys, there must be 18 girls. To find the mean height of the girls, divide the total height of the girls by the number of girls: 26.64 meters / 18 girls = 1.48 meters.
Two students are using the distance formula to determine the distance between (9, 4) and (–3, 8) on a coordinate grid. Their work is shown below. Karlin’s Work d = StartRoot (9 minus (negative 3)) squared + (4 minus 8) squared EndRoot. D = StartRoot (12) squared + (negative 4) squared EndRoot. D = StartRoot 144 + 16 EndRoot. D = StartRoot 160 EndRoot. Abby’s Work d = StartRoot (negative 3 minus 9) squared + (8 minus 4) squared EndRoot. D = StartRoot (negative 12) squared + (4) squared EndRoot. D = StartRoot 144 + 16 EndRoot. D = StartRoot 160 EndRoot. Which best explains why the order in which the subtraction occurred did not cause a difference in the answers determined by the two girls? The differences are each squared. The differences are added together. The square root of the differences is taken. The differences are the same regardless of order.
Answer:
The differences are each squared.
Step-by-step explanation:
Thats the answer I just took the test and its a on edgenunity
Answer:
A
Step-by-step explanation:
Sharon and Jacob started at the same place. Jacob walked 3 m north and then 4 m west. Sharon walked 5 m south and 12 m east. How far apart are Jacob and Sharon now?
A) 5 m
B) 8 m
C) 13 m
D) 18 m
Answer:
d
Step-by-step explanation:
The correct answer is option C: 13 meters. Jacob and Sharon are approximately 13 meters apart.
To determine how far apart Jacob and Sharon are now, we first need to find their final positions and then calculate the distance between those points.
Step-by-Step Solution
→ Jacob's Movement:
He walked 3 meters north and then 4 meters west.
→ Final position of Jacob: (-4, 3).
Sharon's Movement:
→ She walked 5 meters south and then 12 meters east.
→ Final position of Sharon: (12, -5).
To find the distance between their final positions, we can use the Pythagorean theorem. The distance d between the points (-4, 3) and (12, -5) is calculated as follows:
→ d = √[(12 - (-4))² + (-5 - 3)²]
= √[(12 + 4)² + (-8)²]
= √[(16)² + (8)²]
= √[256 + 64]
= √320
= √(16 × 20)
= 4√20
= 4√(4 × 5)
= 8√5
≈ 13 meters
→ Thus, Jacob and Sharon are approximately 13 meters apart.
What is the volume of the pyramid?
A. 60 ft^3
B. 240 ft^3
C. 106.7 ft^3
D. 80 ft^3
Answer:
the correct answer is
D. 80 ft^3
vol. of pyramid = (l× w × h)/3
= (6×8×5)/3
= 80 ft^3
Answer:
60?Step-by-step explanation:
I dont know :cBenny’s age is currently 200% of his sister Jenny’s age. What percent of Benny’s age will Jenny’s age
be in 4 years?
Jenny's future age would be expressed as ((x+4)/(2x+4))*100 percent of Benny's future age, where x is Jenny's current age.
Explanation:To solve this problem, we first note that Benny is currently 200% of Jenny's age, meaning Benny's age is twice that of Jenny. So let's denote Jenny's current age as x - Benny's age will be 2x.
In 4 years, Jenny's age will be x+4 and Benny's age will be 2x+4. To calculate what percent of Benny's future age will Jenny's future age be, we have to divide Jenny's future age (x+4) by Benny's future age (2x+4) and then multiply by 100 to get the percentage. Therefore, Jenny's age will be ((x+4)/(2x+4))*100 percent of Benny's age.
Since we don't know their real ages, this is the most accurate answer we can provide, expressed as an algebraic equation. In real-life situation with the real ages known this equation would allow to find out what percent of Benny's age will Jenny’s age be in 4 years.
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If Jenny's age is x, Benny's age is 2x. In 4 years, Jenny's age will be x+4 and Benny's will be 2x+4. To calculate what percent of Benny's age Jenny's age will be, we can use this formula: ((x+4)/(2x+4)) × 100.
Explanation:Let's start by expressing Benny's age in terms of Jenny's age. If Benny's age is currently 200% of Jenny's age, then mathematically, we can say:
Benny's age = 200% of Jenny's age
B = 2 × x
Now, let's assume Jenny's age is represented as J. So, Benny's age is 2 × x.
If we want to find out what percent of Benny's age Jenny's age will be in 4 years, let's calculate it step by step.
In 4 years, Benny's age will be:
Benny's age in 4 years = Benny's current age + 4
Benny's age in 4 years = 2 × x + 4
Jenny's age in 4 years will be:
Jenny's age in 4 years = Jenny's current age + 4
Jenny's age in 4 years = x + 4
Now, let's find out what percent of Benny's age Jenny's age in 4 years will be:
Percent = (Jenny's age in 4 years / Benny's age in 4 years) × 100
Percent = (x + 4) / (2 × x + 4) × 100
This calculation will give us the percentage of Jenny's age compared to Benny's age in 4 years.
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Event A : stops on an even number
Event B: stops on blue
Find the P ( A or B )
2/3
1/2
1/6
1/3
Answer:
2/3
Step-by-step explanation:
Answer:
Event A : stops on an even number
Event B: stops on blue
Find the P ( A or B )
2/3
Help!!! Please!
shows the square-based pyramid ABCDE. The side length of the base is 96 m and the pyramid's height is 55 m. O is the centre of the square base, directly below E. M is the midpoint of AD. Use Pythagoras' theorem to find the length EM.
Answer:
EM = 73 m
Step-by-step explanation:
Using the right triangle MOE
with legs MO = 48. EO = 55 and hypotenuse EM
Applying Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
EM² = 48² + 55² = 2304 + 3025 = 5329 ( take the square root of both sides )
EM = [tex]\sqrt{5329}[/tex] = 73
Describe and correct the error a student made in finding the average rate of change for f(x)equals0.5xsquared over the interval minus4less than or equalsxless than or equalsminus2.
Answer:
please explain it better.
Step-by-step explanation:
The student needs to use the average rate of change formula correctly. For the function f(x) = 0.5x^2 and the interval [-4, -2], the correct average rate of change is -3.
Explanation:The student is looking to find the average rate of change of the function f(x) = 0.5x^2 over the interval [-4,-2]. The average rate of change of a function over the interval [a, b] is calculated by the formula: (f(b) - f(a)) / (b - a).
For our function and interval this calculates to (f(-2) - f(-4)) / (-2 -(-4)). f(-2) is 0.5(-2)^2 = 2, and f(-4) is 0.5(-4)^2 = 8. Substituting into the formula gives (2 - 8) / (-2 -(-4)) = -6 / 2 = -3. So the correct average rate of change for f(x) = 0.5x^2 over the interval [-4,-2] is -3.
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Which of the following is the best example of a food chain in a marine ecosystem?
A food chain is a single pathway connecting a producer with several levels of consumers. In a typical marine food chain, dinoflagellates convert energy from sunlight into food through photosynthesis and store it in their tissues. Copepods feed on dinoflagellates and incorporate this energy into their own tissues.
Isabella decides to sell handmade stationery. She decides to sell 2 cards for $9. Which table below show the possible values of c, the number of cards Isabella sells, and d, the number of dollars she charges?
Answer:
B
Step-by-step explanation:
each time she sells 2 cards she gets $9 right?
so counting by 2's is the best route to go on and the only answer that displays that is answer B
Mathematical tables are collections of numbers that represent the outcome of computation with varied arguments. The correct table is B.
What is a table?Mathematical tables are collections of numbers that represent the outcome of computation with varied arguments.
Given that Isabella sells 2 cards for $9. Therefore, the cost of 1 card will be,
[tex]\text{Cost of 1 card} = \dfrac{\$9}{2} =\$4.5[/tex]
Now, checking the options,
A.) The table is wrong because the cost of 11 cards will be $49.5, instead of 50.5.
B.) The table is correct because all the values are correct.
C.) The table is wrong because the cost of 27 cards will not be equal to $6.
D.) The table is wrong because the cost of 3 cards will not be equal to $10.
Hence, the correct table is B.
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What is the area of the base of the cone below?
Given:
Given that the height of the cone is 12 ft.
The volume of the cone is 90 ft³
We need to determine the area of the base of the cone.
Area of the base of the cone:
The area of the base of the cone can be determined using the formula,
[tex]V=\frac{1}{3} \pi r^2 h[/tex]
where the base area is [tex]A=\pi r^2[/tex]
Substituting the value of A in the above formula, we get,
[tex]V=\frac{1}{3}A h[/tex]
Substituting V = 90 and h = 12, we get;
[tex]90=\frac{1}{3}A (12)[/tex]
[tex]90=4A[/tex]
Dividing both sides by 4, we get;
[tex]22.5 =A[/tex]
Thus, the area of the base of the cone is 22.5 square feet.
Hence, Option c is the correct answer.
Answer the following questions using the series representation.
0.9 + 0.09 + 0.009 + …
The first term is?
The common ratio is?
Answer:
a and c
0.9
0.1
1
Step-by-step explanation:
ez
A square patio has an area of 153 square feet. How long is each side of the patio to the nearest tenth?
Each side of the patio is approximately feet long.
Answer:
38.3
Step-by-step explanation:
Since the patio is a square all of the sides have to be equal.
153/4=38.25
Rounded to the nearest tenth the answer is 38.3
Each side of the patio is approximately 38.3 feet long.
a.
Kayleen left home at noon and drove to boston.she got there at 4:00.if boston is about 280 miles away,what was kayleens average speed.
b. Elijah was also driving to Boston, but she left from outside of the city and was already 40 miles closer than Kayleen was when she started. She also left at noon and got there at 4:00. What was her average speed?
Answer: a) 70 mph
b) 80 mph
Step-by-step explanation:
Given that Kayleen left home at noon and drove to boston.she got there at 4:00. Then time spent will be 4 hours . Noon means 12pm
Distance covered = 280 miles kayleens average speed will be
Speed = distance/time
Speed = 280/4 = 70 mph
Given that Elijah was already 40 miles closer than Kayleen was when she started
Distance covered by Elijah will be
Distance = 40 + 280 = 320
Time = 4 hours
Speed = 320/4 = 80 mph
A baseball team receives 310,000 in sponsorship equipment, and the administrative cost are expected to be $47,000. What are the cost as a percentage of sponsorship revenue?
To calculate the cost as a percentage of sponsorship revenue, divide the administrative cost by the sponsorship revenue and multiply by 100. The cost as a percentage of sponsorship revenue is 15.16%.
Explanation:To calculate the cost as a percentage of sponsorship revenue, we need to divide the administrative cost by the sponsorship revenue and multiply by 100.
Step 1: Divide the administrative cost ($47,000) by the sponsorship revenue ($310,000).
$47,000 ÷ $310,000 = 0.1516
Step 2: Multiply the result by 100 to convert it to a percentage.
0.1516 x 100 = 15.16%
The cost as a percentage of sponsorship revenue is 15.16%.
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An anemometer is a device used to measure wind speed.
The anemometer shown is attached to the top of a pole.
Support wires are attached to the pole 5 feet above the
ground. Each support wire is 6 feet long. How far from
the base of the pole is each wire attached to the ground?
Answer:
3.32ft
Step-by-step explanation:
The wire and the poles attached to the ground form a right triangle with the length of the wire being the hypotenuse.
Using Pythagoras Theorem:
Hypotenuse²=Adjacent²+Opposite²
6²=5²+x²
x²=36-25
x²=11
x=√11=3.32 ft.
The wires are attached 3.32 ft from the base of the pole on the ground
Answer:
The question can be answered by using a Pythagoras' Theorem : [tex]c^2=a^2+b^2[/tex] to find the base of the pole to which each wire is attached to the ground.
Step-by-step explanation:
the base of the pole is represented by b.
the height of the pole is represented by a= 5 feet
the length of t he wire is represented by c=5 feet.
Thus, using the Phytagoras Theorem,
c^2=a^2+b^2,
[tex]6^2=5^2+b^2\\36=25+b^2,\\36-25=b^2\\Thus, b^2=11,\\b=\sqrt 11[/tex] or b=3.3.
Thus , each wire i attached by about 3.3 feet to the base of the pole.
Jim and Bill each invest $15,000 into savings accounts that earn 3.5% interest. Jim's account earns simple interest and Bill's account earns compound interest. After 25 years, who will earn more interest and how much more will he earn?
Answer:
Bill will earn more interest
He will earn $ 20,448.67 from his investment
Step-by-step explanations
Firstly let us calculate Jim's earnings based on simple interest
A = P(1 + rt)
Calculation:
First, converting R percent to r
a decimal
r = R/100 = 3.5%/100 = 0.035 per year.
Solving our equation:
A = 15000(1 + (0.035 × 25)) = 28125
A = $28,125.00
The total amount accrued, principal plus interest, from simple interest on a principal of $15,000.00 at a rate of 3.5% per year for 25 years is $28,125.00 for Jim
Now let's us calculate bill's investment based on compound interest
Equation
A = P(1 + r)^t
A=15000(1+0.035)^25
A=15000(1.035)^25
A=15000*2.36324498427
A = $ 35,448.67
We see that Bill will earn
$ 20,448.67 from his investment
Find the rule of f(1)
Step-by-step explanation:
Given
f(x) = (11)^x + 2
f(1) = 11^1 + 2
= 11 + 2
= 13
What does the overlapping shaded region mean?
Answer:
Step-by-step explanation:
Inequality 1 is graphed in blue and inequality 2 is graphed in red. The overlap of the shaded regions (purple shading) represents the solution. ... Inequality 1 is graphed in blue and inequality 2 is graphed in red. In this case the regions do not overlap. This indicates that there is no solution to the system
Answer:
Inequality 1 is graphed in blue and inequality 2 is graphed in red. The overlap of the shaded regions (purple shading) represents the solution. ... Inequality 1 is graphed in blue and inequality 2 is graphed in red. In this case the regions do not overlap. This indicates that there is no solution to the system
I hope this helps good luck!
Find the surface area.
Answer:
[tex]638 in^{2}[/tex]
A student is doing a study on study habits. He needs a random sample of students from every grade level. What is a good way to do this?
A)
He could send a questionnaire to every student in Algebra I.
B)
He could put a questionnaire on all cars in the senior parking lot.
C)
He could send a questionnaire to every student in a senior English class.
D)
He could poll all students in a 9th grade, 10th grade, 11th grade, and 12th grade English class.
Answer: D (He could poll all students in a 9th grade, 10th grade, 11th grade, and 12th grade English class.)
Explanation: It states that he needs a random sample from every grade level.
i need hell with this :(
how many sqaure feet of carpet do you need will you need
8 ft
12 ft
2 ft
3 ft
Find the value of X in the triangle. Then classify the triangle as acute right or obtuse
27, 59, x
A. 104
B. 89
C. 93
D. 94
A restaurant franchise earns a bonus of $1,500 to be split equally among 12 employees. How much will each employee receive?
$125
$800
$1,488
$12,000
$18,000
Answer:
$125
Step-by-step explanation:
1500/12
125
Answer:
125
Step-by-step explanation:
1,500 divided by 12 is 125
Find the equation of the tangent to the circle x²+y²=169 at the point (5,12)
Answer:
Step-by-step explanation:
hello :
use equation for this circle : the center is : O(0,0)
the radius is 13
let (∆) this tangent in A(5,12) where an equation is : y-y1 = m(x-x1)
x1 = 5 and y1 =12 calculate : m the slope of this tangent
but (∆) tangent in A(5,12) for this circle : means the line (OA)⊥tangent(∆)
the slope of (OA)×m = -1
but the slope of (OA)= (12-0)/(5-0)=12/5
(12/5)×m =-1 so : m=-5/12
an equation for this tangent is y-12 = (-5/12)(x-5)
Answer:
12y + 5x = 169
Step-by-step explanation:
Slope of the normal:
(12-0)/(5-0)
12/5
Slope of the tangent
-5/12
y - 12 = (-5/12)(x - 5)
12y - 144 = -5x + 25
12y + 5x = 169
I need help on my HW ASAP
Answer: Your answers are all correct.
Step-by-step explanation: Good Job :D
Convert 27 ounces into grams.
Hint 1 ounce = 28.35 grams
27 ounces = [blank] grams
Enter your answer as the number that correctly fills in the blank
Round the answer to two decimal places, like this: 42.53
Answer:
the answer is 765.45
Step-by-step explanation:
if I ounce equals 28.35 grams
then 27 ounces equals to 28.35 ×27
=765.45
which is already in two decimal places
3 divided 4 is 3/4. What is 1/4 of 3
Answer:
3/4
Step-by-step explanation:
When you see "of" and there's a fraction involved, you can usually multiply them to find the answer. 1/4 * 3 = 3/4.
Put the polynomial, 5 - 3x ^ 2 + 4x + 5x ^ 3 in standard form please!
Look at the attached picture⤴
Hope it will help u...
At a restaurant a manger recorded the sales for one of his servers named
Damaria. $52, $60, $48, $52, $46, $48, $28, $192, $71, $59 Which center
should be used to best represent the data?
a. Damarias mean sale is 570
b. Damarias median sale is $52
c. Damaria's mode sale is $52
d. Damaria's range of her sales is $164
The number of cookies found in 10 different snack bags are shown below
Answer: b. Damarias median sale is $52
Step-by-step explanation:
Hi, the correct option is b. Damarias median sale is $52.
If we rank the sales order from lowest to highest
28 46 48 48 52 52 59 60 71 192
Since 52 is the middle value, it's the median, because 4 sales are above it and 4 sales are below it.
Feel free to ask for more if needed or if you did not understand something.