plss help its due in 2 days :(
A toy shop is manufacturing hollow plastic spheres. The outside diameter of the sphere is 6 inches and the thickness of material is 1 inch. The spheres are packaged in boxes of 8, and the density of the material is 3.25 g/in3. What is the weight of the box to the nearest gram?
Answer:
2069 grams
Step-by-step explanation:
Assume that the box itself is massless so the weight is only due to the spheres only. Calculate the volume of a solid sphere of radius 3 in:
Vout = (4/3)pi(3^3) = 36pi in^3
Now calculate the volume of a solid sphere of radius 2 in:
Vin = (4/3)pi(2^3) = (32/3)pi in^3
To calculate the volume of the hollow sphere, subtract Vin from Vout:
Vnet = Vout - Vin = (76/3)pi
Since the density of the plastic is 3.25 g/in^3, the mass of each hollow sphere is
m = (density) × Vnet = (3.25 g/in^3)×(76/3)pi
= 258.7 g
Since there are 8 spheres in a box, the total weight of the box is
M = 8m = 2069 grams
Write the coordinates of the vertices after a reflection across the line y = 4
A(-9,1) -> A’( )
B(-4,1) -> B’( )
C(0,4) -> C’( )
D(-5,4) -> D’ ( )
Find the the measure of angle 5.
Answer:
Angle 5 would be 119 degrees.
Step-by-step explanation:
This is because the angle that is 61 degrees and angle 5 are both supplementary angles. Supplementary angles would add up to 180 degrees and would lie on the same side of the line. So 180 minus 61 is 119.
Riley bought 3.5 pounds of dried apples. They cost $2.56 per pound. How much did Riley pay for the dried apples? QUICK PLEASE !!!
Answer:
$8.96
Step-by-step explanation:
3.5 x 2.56 = 8.96
Michael surveyed a random sample of students in his school about the number of sports they play. There are 300 students in Michael's school. Use the
results of the survey to estimate the number of students in Michael's school who play exactly one sport.
Answer:
75 students
Step-by-step explanation:
From the table, we can calculate the total number of students surveyed by Michael:
Total student surveyed = 13 + 15 + 32 = 60 students
We can see that out of the 60 students, 15 students played exactly one sport. Hence:
Proportion of students playing exactly one sport = 15 / 60 = 0.25
Based on the result of the survey, if they are 300 students, number of students playing exactly one sport is:
Number of students playing exactly one sport = proportion * total students = 0.25 * 300 students = 75 students
Mr. Mole left his burrow that lies below the ground and started digging his way at a constant rate deeper into
the ground. After 5 minutes of descending at a rate of 1.8 meters per minute, he was 13.5 meters below the
ground.
Let y represent Mr. Mole's altitude (in meters) relative to the ground after c minutes.
Complete the equation for the relationship between the altitude and number of minutes.
y =
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What is the answer to this problem?
Answer:
5 2/3
Step-by-step explanation:
just trust me
Answer:
option b 5.6 is the correct answer
Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation
Slope = 4, passing through (5,3)
Answer:
y = 4x - 17
Step-by-step explanation:
1. (y - y1)=m(x - x1) point-slope formula: slope = 4
2. (y - 3) = 4 (x - 5) substitute x and y values: (5, 3)
3. y - 3 = 4x - 20 simplify
4. y = 4x - 20 + 3 rearrange
5. y = 4x -17 solve
Maria and Lamar are playing a game. Maria noticed that the digits of her
score could be reversed to form Lamar's score. Maria's score is 18 more
than Lamar's score. Maria's score is a multiple of 5. What is Maria's score?
Answer:
20
Step-by-step explanation:
because 20 reversed is 02 and plus 18 is 20 and 20 is a multiple of 5
Answer:
The answer is 20!
Step-by-step explanation:
Had to do this on a sheet of paper.
Hope I helped you even though this is really old. I just need to answer 5 questions for points
15. Find the difference between the sum of
378 and 401 and the product of 43 and 17.
Answer:
the answer to your question is 1510
Round to the nearest hundredth (2 decimal places) when necessary
Answer:
18.22 is the circumference
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
if it's area, then:
area = 26.41 ft²
Step-by-step explanation:
area = πr² = (3.14)(2.9²) = 26.41 ft²
what is the slope of the line that passes through the points (6,4) and (-3,-7)
Answer:
m = 11/9
Step-by-step explanation:
m = (y2 - y1) / (x2 - x1)
= (-7 - 4) / (-3 - 6)
= -11/-9
= 11/9
If a rectangle A has sides are three times the length of those rectangle B, how do the areas of the two rectangles compare?
Answer:
The area of A is nine times the area of B.
Step-by-step explanation:
?
Round to the nearest hundred
thousand.
4,821,766
Kate is 5 feet 2 inches tall.
Alice is 1.57 metres tall.
Alice says that she is taller than Kate.
Use the conversions below to decide if Alice is correct.
12 inches = 1 foot
1 inch = 2.5 centimetres
if someone could help me with this it would be really helpful
Answer:
Alice is wrong kate is taller than Alice
Step-by-step explanation:
because Alice is 5'1 and Kate is 5'2
Determine the situation that best describes a normal distribution.
A.
heights of students in a class
B.
prices of shirts during a sale
C.
grades of students on an easy test
D.
cost of houses during inflation
A line is parellel to y=3x+2 and intersects the point (2,9). What is the equation of this parellel line
Answer: y= -3x
Step-by-step explanation:
Use the slope-intercept form to find the slope.
m = −3
To find an equation that is parallel to y = −3x + 2, the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.
(0,0)
m = −3
Using the point-slope form
y − y1 = m (x − x1), plug in
m = −3, x1 = 0, and y1 = 0.
y − (0) = (−3) (x−(0))
Solve for y
y = −3x
Answer:
y=3x+3
Step-by-step explanation:
(2,9)
x=2
y=9
-Slot these numbers into the equation y=mx+c
-Solve for c
y=3x+c
9=3(2)+c (We have substituted y for 9 and x for 2)
-Solve
9=6+c
(rearrange)
c+6=9
c=9-6
c=3
We have found our y-intercept (c)
Add this value into the original equation (replace the other y-intercept with your new value)
y=3x+3
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Desiree M&Clay
Consumer Mathematics A: Calorie Proportions - Assess It
Contents
1 Course Ove
> Course Res
> Shopping
Nutrition
All changes saved
3. If 10 hot wings have 700 calories and Ben ate 25 hot wings at dinner, how many
calories did he eat?
> Lesso
:) please help me. Thank you
Answer:
it's the 3rd one
Step-by-step explanation:
i used m ath way
What is the equation of the trend line in the scatter plot ?
Answer:
5
Step-by-step explanation:
Hopebthis helps it ahowed right for me
Help pls will give brainlist make sure to show work if needed
Answer:
11
Step-by-step explanation:
Just make your dot plot so that the amount of dots corresponding to the number is the amount of times the number shows in the box. :)
There are 20 students in the class. I counted 8 girls. What percent are boys?
Answer:
60%
Step-by-step explanation:
20-8=12
12÷20=0.6
0.6×100=60%
If 3 balls are drawn at random from a bag containing 3 red and 4 blue balls,
what is the expected number of red balls in the sample?
Answer:
The expected number of red balls in the sample is 1.2857.
Step-by-step explanation:
The balls are chosen without replacement from the sample, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The expected value of the hypergeometric distribution is:
[tex]E(X) = \frac{nk}{N}[/tex]
3 red balls in the sample:
This means that [tex]k = 3[/tex]
3 balls are drawn:
This means that [tex]n = 3[/tex]
Total of 3 + 4 = 7 balls:
This means that [tex]N = 7[/tex]
What is the expected number of red balls in the sample?
[tex]E(X) = \frac{nk}{N} = \frac{3*3}{7} = 1.2857[/tex]
The expected number of red balls in the sample is 1.2857.
What is the difference
Answer:
4
Step-by-step explanation:
Ben has 21 votes and Scott has 17
21 - 17 = 4
please help me with this question:(
What is the volume of the composite figure?
i will give Brainiest if your right
Answer:
f
Step-by-step explanation:
sum of 15 and -6 is 11
-3 times -2 is 6 because the negatives cancel out
6 plus the 5 left in the parenthesis is 11
brainiest pls
Find the third side in simplest radical form:
33
56
Answer:
65
Step-by-step explanation:
33^2 + 56^2=c^2
4225 = c^2
square root both
65 = c
Rajesh gave 1/2 of his provident fund to his wife,1/4 to his son and the remainder was to be divided equally between his two brothers so that each brother got Rs 10000.
What was the amount of provident fund?
Answer:
$ 80 000
Step-by-step explanation:
provident fund -- x
Wife -- 1/2 of x
Son -- 1/4 of x
Two brothers -- x - (x/2 - x/4)
Therefore, x - (x/2 - x/4) / 2 = 10 000
x = 80 000
Therefore, the amount of provident fund is $ 80 000
Thenks and mark me brainliest :)
Find the distance between the points (7,-5) and(2,7)
Answer:
13
Step-by-step explanation:
[tex] \sqrt{ {(7 - 2)}^{2} + {( - 5 - 7)}^{2} } = 13[/tex]