Answer:
62 ft.
Step-by-step explanation:
Multiply 2(width)(length)+ 2(length)(height)+ 2(height)(width)
what is the volume of a sphere with a radius of 1/2
Step-by-step explanation:
[tex]Volume = \frac{4}{3} \pi r^3[/tex]
[tex]V = \frac{4}{3} \pi (\frac{1}{2} )^3[/tex]
[tex]V=\frac{4}{3}\pi (\frac{1}{8})[/tex]
[tex]V= 0.5233..[/tex]
So, the volume of the sphere would be 0.523.
helpp me answer this i will give 15 points if u answer
Answer:
G, the second option
Step-by-step explanation:
A triangle's degrees all adds up to 180.
45 + 60= 105 degrees
180-105= 75 degrees
that in which makes z=75 degrees.
Since z is sharing a straight angle, which is 180 degrees
180-75= 105 degrees.
Therefore, w=105 degrees
next time when you are asking a question, be sure to crop the screen shot because the screen contains some private information that may be used against you! :)
Six times a larger number is equal to the sum of a smaller number and 18. The difference of twice the larger number and the smaller number is 6. Let x represent the smaller number and y represent the larger number. Which equations represent the situation? y = 6 x + 18. y = 2 x minus 6. y = 6 (x + 18). Y = 2 (x minus 6). y = one-sixth x + 3. y = one-half x + 6. y = one-sixth x + 3. y = one-half x + 3.
Answer:
y = 2x - 6
Step-by-step explanation:
6x = y +18
2x - y = 6
-2x. -2x
-1(-y)= -1 (-2x +6)
y = 2x -6
Answer:
y=2x-6
Step-by-step explanation:
20 points
One pump can fill a tank of water in 4 hours. A second tank can fill the same tank in 3 hours. If both pumps are used together, how long will it take to fill the tank?
7/12 hours
3/4 hours
12/7 hours
4/3 hours
Final answer:
Two pumps working together will fill a tank in 12/7 hours, calculated by adding their rates of filling the tank and taking the inverse of the sum.
Explanation:
When two pumps are used together to fill a tank, the time it takes can be found by adding their rates of work and then finding the inverse of the sum. The first pump can fill the tank in 4 hours, which means its rate is 1/4 of the tank per hour. The second pump can fill the same tank in 3 hours, implying a rate of 1/3 of the tank per hour. When both pumps work together, their combined rate is (1/4 + 1/3) = (3/12 + 4/12) = 7/12 of the tank per hour.
To find the time taken to fill the tank jointly, we take the inverse of the combined rate: 1 / (7/12), which equals 12/7 hours. Therefore, using both pumps together, it will take 12/7 hours to fill the tank.
solve for x : x + 10=50
Answer: 40
Step-by-step explanation: When you're asked to solve for x in an equation, what you're really being asked to do is get x by itself on one side of the equation.
In this problem since 10 is being added to x, in order to get x by itself, we must subtract 10 from the left side of the equation and when we subtract 10 from the left side of the equation, remember that we must also subtract 10 from the right side of the equation.
So on the left, 10 - 10 cancels out and
on the right, 50 - 10 simplifies to 40.
So x = 40.
Answer:
x = 40
Step-by-step explanation:
To solve for x, we must get it by itself. To do this, we have to subtract 10 from the left and right side of the equation.
Equation: x + 10 - (10) = 50 - (10)
This will cancel out the 10 on the left side (as 10 - 10 = 0) of the equation and leave you with the answer, x = 40.
A piece of wood is designed in the shape of a cone. A cylindrical hole of radius 4cm and 2cm has been drilled into the base. The surface area of the piece of wood has to be painted, except from the area inside the hole work out the surface area to be painted give your answer in the terms of pi thank you
Answer:
= 80πcm²
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
Given the information:
Diameter of base = 12cm => its radius is: 6 cm Radius of hole = 4cmThe height: 8 cm=> Area of base = π(6²) = 36π cm²
=> Area of the hole = πr² = π(4²) = 16πcm²
As we know that, the surface area of the piece of wood has to be painted at base:
= Base area - area of hole
= 36π cm² - 16πcm²
= 20πcm²
For the curved surface area can be determined by the following formula:
Area = πrl where l is the slant height
Applying Pythagoras theorem, we have:
[tex]l^{2} = r^{2} + h^{2}[/tex]
<=> [tex]l^{2} = 6^{2} + 8^{2}[/tex]
<=> [tex]l^{2} =100[/tex]
<=> l =10
=> the curved surface area is: π*6*10 =60πcm²
Hence the total surface area to be painted is
= the curved surface area + he surface area of the piece of wood has to be painted at base
= 60πcm² +20πcm²
= 80πcm²
Hope it will find you well.
To find the surface area to be painted, calculate the total surface area of the cone and subtract the area of the cylindrical hole.
Explanation:To find the surface area to be painted, we need to calculate the total surface area of the cone and then subtract the area of the cylindrical hole.
The total surface area of a cone is given by the formula A = πr(r + l), where r is the radius of the base and l is the slant height.
In this case, the radius of the cone is the same as the radius of the base of the hole, which is 4 cm. We need to find the slant height of the cone, l.
By applying the Pythagorean theorem to the right triangle formed by the height of the cone, the slant height, and the radius of the cone, we can calculate the slant height as l = sqrt( h^2 + 4^2 ), where h is the height of the cone.
Since the height of the cone is not given, we will not be able to find the exact value for the surface area to be painted. However, we can provide the general formula based on the given information:
Surface area to be painted = (π * r1 * (r1 + sqrt( h^2 + r1^2 ))) - (2 * π * r2 * h),
where r1 is the radius of the base of the hole and r2 is the smaller radius of the hole.
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Pretty Pavers company is installing a driveway. Below is a diagram of the driveway they are
planning on building. What is the approximate area covered by pavers Each square is 3
square feet
Answer:
The most correct option is;
(B) 958.2 ft.²
Step-by-step explanation:
From the question, the dimension of each square = 3 ft.²
Therefore, the length of the sides of the square = √3 ft.
Based on the above dimensions, the dimension of the small semicircle is found by counting the number of square sides ti subtends as follows;
The dimension of the diameter of the small semicircle = 10·√3
Radius of the small semicircle = Diameter/2 = 10·√3/2 = 5·√3
Area of the small semicircle = (π·r²)/2 = (π×(5·√3)²)/2 = 117.81 ft.²
Similarly;
The dimension of the diameter of the large semicircle = 10·√3 + 2 × 6 × √3
∴ The dimension of the diameter of the large semicircle = 22·√3
Radius of the large semicircle = Diameter/2 = 22·√3/2 = 11·√3
Area of the large semicircle = (π·r²)/2 = (π×(11·√3)²)/2 = 570.2 ft.²
Area of rectangle = 11·√3 × 17·√3 = 561
Area, A of large semicircle cutting into the rectangle is found as follows;
[tex]A_{(segment \, of \, semicircle)} = \frac{1}{4} \times (\theta - sin\theta) \times r^2[/tex]
Where:
[tex]\theta = 2\times tan^{-1}( \frac{The \, number \, of \, vertical \, squrare \, sides \ cut \, by \ the \ large \, semicircle}{The \, number \, of \, horizontal \, squrare \, sides \ cut \, by \ the \ large \, semicircle} )[/tex]
[tex]\therefore \theta = 2\times tan^{-1}( \frac{10\cdot \sqrt{3} }{5\cdot \sqrt{3}} ) = 2.214[/tex]
Hence;
[tex]A_{(segment \, of \, semicircle)} = \frac{1}{4} \times (2.214 - sin2.214) \times (11\cdot\sqrt{3} )^2 = 128.3 \, ft^2[/tex]
Therefore; t
The area covered by the pavers = 561 - 128.3 + 570.2 - 117.81 = 885.19 ft²
Therefor, the most correct option is (B) 958.2 ft.².
A covered bridge in Vermont has the dimensions shown
What is the volume of the roof rounded to the nearest tenths?
The volume of the traffic pylon is 7.26 cubic feet.
To find the volume of the cone-shaped pylon, we'll use the formula for the volume of a cone, which is [tex]\( \frac{1}{3} \pi r^2 h \),[/tex] where ( r ) is the radius of the base and ( h ) is the height.
Given that the height ( h ) of the pylon is 2.4 feet and the radius ( r ) is 1.7 feet, we can plug these values into the formula:
[tex]\[\text{Volume} = \frac{1}{3} \pi \times (1.7)^2 \times 2.4\][/tex]
Let's calculate this:
[tex]\[\text{Volume} \approx \frac{1}{3} \times 3.14159 \times (1.7)^2 \times 2.4\][/tex]
[tex]\[\text{Volume} \approx \frac{1}{3} \times 3.14159 \times 2.89 \times 2.4\][/tex]
[tex]\[\text{Volume} \approx \frac{1}{3} \times 3.14159 \times 6.936\][/tex]
[tex]\[\text{Volume} \approx \frac{1}{3} \times 21.78\][/tex]
[tex]\[\text{Volume} \approx 7.26 \text{ cubic feet}\][/tex]
So, the volume of the cone-shaped pylon is approximately 7.26 cubic feet.
Please help me on this! Little confused
Answer:
c
Step-by-step explanation:
you start with $45 then for each number of days you pay $3
After a certain medicine is ingested, the number of harmful bacteria remaining in the body declines rapidly.
The relationship between the elapsed time t, in minutes, since the medicine is ingested, and the number of
harmful bacteria remaining in the body, Hminute(t), is modeled by the following function:
Со
асс
Hminute(t) = 500,000,000 - (0.2)
Complete the following sentence about the rate of change in the number of harmful bacteria remaining in
the body in seconds.
Round your answer to two decimal places.
Ad
ma
Every second, the number of harmful bacteria remaining in the body decays by a factor of
Every second, the number of harmful bacteria remaining in the body decays by a factor of approximately .
To determine the rate of change in the number of harmful bacteria remaining in the body every second, we need to convert the time in the given function from minutes to seconds. The function provided is
⇒ [tex]H_{minute}[/tex](t) = 500,000,000 · [tex](0.2)^t[/tex].
A minute has 60 seconds, so we need to express the decay factor for a second. By letting t = [tex]t_{seconds}[/tex] ÷ 60, we can rewrite the function in terms of seconds:
⇒ [tex]H_{second}[/tex](t) = 500,000,000 · [tex](0.2)^\frac{t}{60}[/tex].
For every passing second, the decay factor is [tex](0.2)^\frac{1}{60}[/tex]. Using a calculator, we find:
⇒ [tex](0.2)^\frac{1}{60}[/tex] ≈ 0.98855,
rounded to two decimal places.
Therefore, every second, the number of harmful bacteria remaining in the body decays by a factor of approximately 0.99.
Complete question:
After a certain medicine is ingested, the number of harmful bacteria remaining in the body declines rapidly.
The relationship between the elapsed time t, in minutes, since the medicine is ingested, and the number of harmful bacteria remaining in the body, [tex]H_{minute}[/tex](t), is modeled by the following function:
[tex]H_{minute}[/tex](t) = 500,000,000 · [tex](0.2)^t[/tex]
Complete the following sentence about the rate of change in the number of harmful bacteria remaining in the body in seconds.
Round your answer to two decimal places.
Every second, the number of harmful bacteria remaining in the body decays by a factor of .
What is the measure of angle x
Answer:
105
Step-by-step explanation:
the middle angle is 75 degrees
co interior angles add up to 180 so 75 +105 = 180
pls vote me brainliest
The parallelogram shown below has an area of 35 units. find the missing height
Answer:
The missing height is 5 units
Step-by-step explanation:
Mathematically, the area of a parallelogram can be found using the formula below;
A = Base× Height
From the parallelogram diagram, we can identify that the base has a length of 7 units, a height of h units and an area of 35 square units
Substituting these values in the equation above, we have
35 = 7 × h
h = 35/7
h = 5 units
Answer:
5 real
Step-by-step explanation:
An amusement park employee records the ages of the people who ride the new roller coaster during a fifteen-minute period.
Ages of riders: 42, 14, 19, 30, 49, 48, 16, 24, 38, 53, 24, 15, 18, 20, 25, 11, 18, 49, 54, 20, 17, 26, 37, 15, 28.
Complete the frequency table. Then select the correct histogram of the data.
Interval Frequency
10−19
20−29
30−39
40−49
50−59
A g617049a B g617049b
C g617049c D g617049d
The Frequency table is shown below and the first Histogram is correct Histogram.
What is Frequency table?A frequency table is just a two-column "t-chart" or table that lists all of the potential outcomes and their corresponding frequencies as seen in a sample.
We have the data:
Ages of riders: 42, 14, 19, 30, 49, 48, 16, 24, 38, 53, 24, 15, 18, 20, 25, 11, 18, 49, 54, 20, 17, 26, 37, 15, 28.
So, the Frequency table is
Interval Frequency
10−19 9
20−29 7
30−39 3
40−49 4
50−59 2
and, the first Histogram is correct.
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The completed frequency table is shown below.
The correct histogram of the data is: A. histogram A.
In Mathematics and Statistics, a frequency table can be used for the graphical representation of the frequencies or relative frequencies that are associated with a categorical variable or data set.
In a frequency distribution table, all classes must have the same class width. In this context, we would develop a grouped frequency table by using a class width of 10 as follows;
Interval Frequency
10 − 19 9
20 − 29 7
30 − 39 3
40 − 49 4
50 − 59 2
In conclusion, we can logically deduce that only histogram A correctly represents the ages of the people who ride the new roller coaster during a fifteen-minute period.
Rachel runs 9/10 mile in 5 minutes. How many miles does she run in
one minute?
Answer:
9/50 or 0.18
Step-by-step explanation:
If you divide both 9/10 and 5 by 5, you get 9/50 of a mile in 1 minute. Hope this helps!
Answer:
[tex]\frac{9}{50}[/tex] miles per minute.
Step-by-step explanation:
To solve this, you will need to divide the total amount run by 5 to find the amount of miles run per minute.
This can be done by dividing by 5 or multiplying by 1/5 to get:
[tex]\frac{9}{10} *\frac{1}{5} = \frac{9}{50}[/tex] miles in 1 minute.
Add 91, 129,and 16 ,and then divide by 44
Answer:
5.36
Step-by-step explanation:
no no don't touch me there this is my no no square
Final answer:
To find the solution, add 91, 129, and 16 to get a sum of 236. Then divide this sum by 44 to get approximately 5.364.
Explanation:
To solve the given problem, we need to perform two steps: first, add the numbers together; second, divide the sum by 44.
Add 91, 129, and 16 together.
Divide the sum by 44.
We start by adding the numbers:
91 + 129 + 16 = 236
Next, we divide the sum by 44:
236 ÷ 44 = 5.363636...
The division yields a repeated decimal which we can round to a desired decimal place if necessary. In this context, we'll keep it as is or round it to the nearest thousandth, which would be approximately 5.364.
PLEASE HELP!!! LOTS OF POINTS!
A juggler throws a ball from an initial height of 4 feet with an initial vertical velocity of 30 feet per second. The height h (in feet) of the ball can be modeled by h 5 216t2 1 vt 1 s where t is the time (in seconds) the ball has been in the air, v is the initial vertical velocity (in feet per second), and s is the initial height.
23. Write an equation that gives the height (in feet) of the ball as a function of the time (in seconds) since it left the juggler’s hand.
24. If the juggler misses the ball, after how many seconds does it hit the ground?
Answer:
(x + 4y) (3x + 2z)
Step-by-step explanation:
First, write your problem as a mathematical expression:
3x^2 + 12xy + 2xz + 8yz
Factor out the greatest common factor from each group:
(3x^2 + 12xy) + 2xz + 8yz
3x (x + 4y) + 2z (x + 4y)
Factor the polynomial by factoring out the greatest common factor (GCF), x + 47
(x + 4y) (3x + 2z)
Step-by-step explanation:
Q
ot plot shows the results from a survey of third-graders' favorite numbers.
Survey of Third-Graders
plete the statement below about the dot plot.
(XXX)
1
2
3 4
5
6
7
8
9 10
Favorite Numbers
he total number of third graders voting for an even number is
Answer:
10
Step-by-step explanation:
All you have to do is count the number of answers imputed. Simple as that. If its a dot plot then just count the number of dots or x's
There are 10 people waiting on standby at an airport to get on the next flight when 2 seats open up. One
of the seats is in first class, and the other is in coach. What error is made in the work shown below to
calculate the number of ways to choose the passengers to fill the seats?
101
10.9.8
(10-2)!21 81.2.1
10.9 90
2.
17 = 45
The correct formula for 10C2 was not used.
There is a multiplication error in the numerator.
The solution is for combinations, but the situation calls for permutations,
8! was incorrectly divided out of the numerator and the denominator.
Answer:
Step-by-step explanation: the awnser on edge is C the solution is for combinations, but the situation calls for permutations. Hope this helped :)
The error that is made in the work shown below is C. The solution is for combinations, but the situation calls for permutations.
What is permutation?It should be noted that permutations simply mean the ways that the objects from a set can be selected.
In this case, the error that is made in the work shown below is that the solution is for combinations, but the situation calls for permutations.
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A university surveyed its students on their opinions of campus housing. The following two-way table displays data for the sample of
200 students who responded to the survey.
Of students in the sample, 90/200 fraction of the students were male.
Number of male students =90
Number of female students =110
So, total students = 90+110 =200
What is a fraction?A fraction is a rational number that is not a whole number.
Fraction of students who were male = male students/ total students
Fraction of students who were male =90/200
So, 90/200 fraction of the students were male.
Hence, 90/200 fraction of the students were male.
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1/4b plus 6=16 how many beads are being used
Answer:
Step-by-step explanation:
[tex]\frac{1}{4}b+6=16[/tex]
Subtract 6 from both sides,
[tex]\frac{1}{4}b+6-6=16-6\\\\\frac{1}{4}b=10\\\\b=10*4\\b=40[/tex]
Answer:
40 beads
Step-by-step explanation:
We want to find how many beads, b are being used
1/4b+6=16
To do this, we have to solve for b, by getting b by itself.
First, move all the constants to the same side. Subtract 6 from both sides, since it is being added to 1/4b.
1/4b+6-6=16-6
1/4b=10
Next, divide both sides by 1/4, or multiply both sides by the reciprocal of 1/4.
To find the reciprocal, flip the numerator (top number) and denominator(bottom number)
1/4–> 4/1
4/1*1/4b=10*4/1
The 1/4 will cancel, leaving us with:
b=10*4/1
b=40
MAY SOMEBODY HELP PLEASE THANK YOU SO MUCH! The volume of a box is 400 in.^3in. The height is 5 in. What is the area of the base of the box?
I mark branliest!!!
Answer:
Step-by-step explanation:
Volume = 400 cubic inches
Area of base = length*breadth
length * breadth * height = 400
Area of the base * height = 400
Area of the base * 5 = 400
Area of the base = 400/5
Area of the base = 80 square inches
I nee d help asap!!!
D.
it's D the answer is d
Answer:
Option 1
Step-by-step explanation:
The points where the two functions intersect are the solutions.
Find the two geometric means between 20 and 2500
Answer:
The two geometric means between 20 and 2500 are 100 and 500.Step-by-step explanation:
First of all we all should know about a geometric progression to solve this question.
A geometric progression is a series in which there is a first term a and all the next terms are calculated by multiplying the previous term by a common number r.
where a is known as first term and
r is known as common ratio.
In the question we are given a as 20 and we have to find out 2 terms after 20 and 4th term is given as 2500.
Formula for [tex]n^{th}[/tex] term in a geometric progression is:
[tex]a_{n} = a\times r^{n-1}[/tex]
Here [tex]a_{4}[/tex] = 2500
As per formula of [tex]n^{th}[/tex] term:
[tex]a\times r^{3} = 2500\\\Rightarrow 20 \times r^{3} =2500\\\Rightarrow r^{3} = 125\\\Rightarrow r = 5[/tex]
Now, 2nd term:
[tex]a_{2} = a \times r\\\Rightarrow a_{2} = 20 \times 5\\\Rightarrow a_{2} = 100[/tex]
Now, 3rd term:
[tex]a_{3} = a \times r^{2} \\\Rightarrow a_{3} = 20 \times 5^{2}\\\Rightarrow a_{3} = 500[/tex]
So, the two geometric means between 20 and 2500 are 100 and 500.
36,000 people attended a basketball game. If 80% of the seats are filled, how many seats are in the ballpark?
Answer:
The answer is 45,000
Step-by-step explanation:
I hope this helps
Answer:
The answer is 45,000
Step-by-step explanation:
what does 12×6×8 equal
Answer:
576
Step-by-step explanation:
If its helpful please mark me brainiest :>
Thanks ;p
Answer:
576
Step-by-step explanation:
12x6 = 72
72x8=576
576
What is the slope of the line through (-1,4) and (1,-2)
Answer:
-3
Step-by-step explanation:
Slope = change of x over change of y
6 over 2
3
line goes down so slope is negative
-3
The slope of the line passing through the given points (-1, 4) and (1, -2) is -3.
Given the following points:
Points on the x-axis = (-1, 1)Points on the y-axis = (4, -2)To find the slope of the line passing through the given points (-1, 4) and (1, -2):
The slope of a line is simply the gradient of a line and it is typically used to describe both the direction and steepness of an equation of a straight line.
Mathematically, the slope of a line is given by the following formula;
[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substituting the given points into the formula, we have;
[tex]Slope. \;m = \frac{-2 \;- \;4}{1\; - \;[-1]}\\\\Slope. \;m = \frac{-6}{2}[/tex]
Slope, m = -3
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The marked price of a sweater at the clothing store was $24. During a sale, a discount of 25 percent was given. A further 15 percent discount was given to the customers who have the stores credit card. How much would a member customer need to pay for the sweater during the sale if the customer paid the stores credit card? Round your answer to the nearest cent.
A member customer need to pay for the sweater during the sale if the customer paid the stores credit card is $ 15.30.
What is credit card?Credit card is defined as a kind of credit product offered by banks that enables users to take out loans up to a pre-approved credit limit. Earn benefits like cashback or mileage points. security from credit card theft. Free credit score information. Absence of foreign transaction costs increased capacity to spend.
Costumer is defined as a person or organization that acquires goods or services from another corporation. Positive customer experiences are extremely important for brand awareness because they frequently result in word-of-mouth promotion.
Given the market price = $24
The percent initial discount = 25%
The percent final discount = 15%
The customer paid the stores credit card
= 24 x 0.75 = 18
= 18 x 0.85 = 15.3
Thus, a member customer need to pay for the sweater during the sale if the customer paid the stores credit card is $ 15.30.
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Solve the quadratic equation: x^2-2x-48=0
Answer:
x=8, x=-6
Step-by-step explanation:
jesse took out a $14,000 car loan for 5 years at a 7.2% interest rate. find Jesse’s total payment amount for his loan.
Answer:
$5,040
Step-by-step explanation:
3/5 of a page in 3/4 minutes
Answer:
3/5 of 1 page in 45 min
Step-by-step explanation: