Answer:
The area of the surface that needs to be iced is 480 m².
Step-by-step explanation:
A cake has the same shape as a rectangular prism. A rectangular prism has six faces. The first one is formed by the length and the width, the second is formed by the length and the height and the third is formed by the width and the height, each of these faces is mirrored, so the surface area for the cake is:
surface area = 2*width*height + 2*width*length + 2*length*height
surface area = 2*12*4 + 2*12*12 + 2*12*4
surface area = 96 + 288 + 96 = 480 m²
The area of the surface that needs to be iced is 480 m².
Answer:
480 m².
Step-by-step explanation:
A cake will be similar to rectangular prism i.e a solid (3-dimensional) object which has six faces that are rectangle.
Finding surface area for all rectangular prisms involves both addition and multiplication. so the surface area for the cake is given by:
surface area = 2(widthxheight) + 2(widthxlength) + 2(lengthxheight)
surface area = 2(12 x 4) + 2(12 x 12) + 2(12 x 4)
surface area = 96 + 288 + 96 = 480 m²
Therefore, the cake will need the surface area of 480 m² to be iced.
whats the slope of y=5x-1
Why should you use the mean and mean absolute deviation (MAD) to compare populations with symmetrical distributions?
A. The mean and MAD will make graphs of the data appear asymmetrical.
B. The mean and MAD eliminate the influence of outliers.
C. The mean and MAD can accurately describe the “typical” value in the symmetric data set.
D. The mean and MAD make the data distribute more unevenly.
Answer:
c
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
Candace drives a total of 48 miles each day to get to work and back home. She works 5 days a week. Her car gets 21 miles per gallon of gas. About how many gallons does she need to drive to work and back home each week?
Answer:
11.43 gallons used exactly per week asuming not changes in schedule or any other reasons to drive and that a one way trip is 24 miles.
Step-by-step explanation:
48 as total for two trips
five of these need to be done, so 240 miles a week assuming no other reason to drive
240 / 21 = 10 with remainder 30
so 11 and remainder 9
9/21 = nearly .43 gallons, which means as a minimum she shouldn't go below 11.5 and better yet 12 gallons.
Candace drives 240 miles each week (48 miles per day * 5 days). Given her car's fuel efficiency is 21 miles per gallon, she would therefore need approximately 11.43 gallons of gas (240 miles / 21 miles per gallon) for her weekly commute.
Explanation:To answer the question of how many gallons of gas Candace needs to get to work and back home each week, you need to first know how many miles she is driving in total for that week.
First, let's find the total miles she drives weekly. We know she drives 48 miles each day to work and back home and she works 5 days a week. So, miles per week = 48 miles per day * 5 days per week = 240 miles per week.
Next, we know her car gets 21 miles per gallon of gas. To find the gallons required, we divide the weekly miles by the miles per gallon. So, Gallons used per week = 240 miles per week / 21 miles per gallon ≈ 11.43 gallons per week.
So, she needs approximately 11.43 gallons of gas to drive to work and back home each week.
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¿Cuántas personas encuestadas se comunican más de 77 minutos?
AYUDA POR FAVOR ES DE APRENDO EN CASA
Respuesta:
se comunican 27 personas 9 +14+4=27 personas
Explicación paso a paso:
para resolver vean los datos en la tabla de frecuencia que van a desarrollar
observamos el intervalo [77; 81[ a partir de el determinamos la cantidad de personas que se comunican 77 minutos o mas minutos
Evaluate g(x)=x^3+9 when x=-2
Answer:
g(x) = 1
Step-by-step explanation:
Tara is carrying the following books in her backpack: a science book that weighs 2 1/2 pound, 2 library books that weigh 3/8 of a pound each, and math book that is half of the weight of her science book
Step-by-step explanation:
Science book weighs = 2 1/2 = 2.5 pounds
Library books weigh = 3/8 = 0.375 pounds
Math book weighs = 2.5 ÷ 2 = 1.25 pounds
Total weight of the books = 2.5 + 0.375 + 1.25 = 4.125 pounds
Which function has an initial value of 0.2?
Group of answer choices
Function Three
Function Four
Function Two
Function One
PICTURE IS BELOW
Answer:
Function Four
Step-by-step explanation:
Put x=0 into each of the functions and see what you get.
1. 3
2. 2
3. 1
4. 0.2 . . . . function 4 is the one you want
5. 0
_____
Anything with an exponent of 0 has a value of 1. (except 0^0 is indeterminate)
PLEASE HELPPP!!!!!!!!!!
A table has an area of 12 and a perimeter of 16 ft. What are the dimensions of the table?
A) 2 ft by 6 ft
B) 2 ft by 8 ft
C) 4 ft by 3 ft
D) 4 ft by 4 ft
Answer:
the answer is A
Step-by-step explanation:
if you are really stuck just go through each possible answer to see if its right
here is some help for solving:
area is equal to length times width or A = L x W
perimeter is equal to length plus width plus length plus width or L+W+L+W
perimeter is just adding up all the sides of the square or rectangle
so if you try with answer a you get:
2 x 6 = 12 and 2 + 6 + 2 + 6 = 16
the answer is A
2xn= 26. Find a value of n that makes the statement true.
Answer:
13
Step-by-step explanation:
What does V= If V/13 =14
Answer:
182
Step-by-step explanation:
Reverse the problem,
13 x 14 = ?
13 x 14 is 182
182/13=14
please help with this
Answer:
A = Quartile 1 = 74.725
B = Median (quartile 2) = 80.25
C = Quartile 3 = 82.125
D = Minimum = 74.1
E = Maximum = 82.7
Step-by-step explanation:
The values for the data for the average life expectancy are as follows;
North Carolina 79.6
Oregon 82
District of Columbia 77.9
Nevada 81.3
New York 82.5
Colorado 80.9
Alaska 74.9
Connecticut 82.7
Montana 74.1
Mississippi 74.2
Sorting the data we have;
74.1
74.2
74.9
77.9
79.6
80.9
81.3
82
82.5
82.7
The minimum value is 74.1
The maximum value is 82.7
The 1st quartile is the [tex]\frac{10 + 1}{4} th[/tex] term or 74.725
The median 2nd quartile is the [tex]\frac{10 + 1}{2} th[/tex] term and the value is 80.25
Third quartile value is the[tex]\frac{3\times (10 + 1)}{4} th[/tex] term or 82.125.
What is the greatest common factor of 2e^2+12e+22
Answer:
2(e^2+6e+11) is the GCF
what is the rate of a house bought for $50,000 in 1980 was sold for $150,000 in 1990?
Answer:
3 fold or 3 times
Step-by-step explanation:
The rate of increase of the house is 200%.
Explanation:To calculate the rate of increase of the house, we can use the formula:
Rate = ((Final Value - Initial Value) / Initial Value) * 100
Using the given values, the rate of increase of the house is: ((150000 - 50000) / 50000) * 100 = 200%
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12 times 12 equal 144
Answer:
Yes, it does
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
12*12=144
Mars has m moons. The number of moons of Pluto is one more than twice the number of moons of Mars. The number of moons of Neptune is one less than 3 times the number of moons of Pluto. Write and interpret a simplified expression that represents the number of moons of Neptune
The simplified expression for the number of moons of Neptune, based on the variable for Mars' moons m, is 6m + 2, meaning Neptune has twice as many moons as Mars plus two more.
Explanation:The student has asked to write and interpret a simplified expression that represents the number of moons of Neptune, based on the information that Mars has m moons, Pluto has one more than twice the number of moons of Mars, and Neptune has one less than three times the number of moons of Pluto.
Let's denote the number of moons of Mars as m. According to the information, Pluto has 2m + 1 moons. Therefore, Neptune would have 3(2m + 1) - 1 moons. Simplifying this expression:
Neptune's moons = 3(2m + 1) - 1
= 6m + 3 - 1
= 6m + 2
The simplified expression 6m + 2 represents the number of moons of Neptune, which means that Neptune has twice as many moons as Mars plus an additional two moons.
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A cylindrical drinking glass can hold 56.52 cubic inches of
water. The diameter of the glass is 3 in. How tall is the glass?
Use 3.14 for T.
A. 4 inches
B. 6 inches
CC. 7 inches
D. 8 inches
Answer:
The answer is
D. 8 inches
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cylinder this time.
Given data
Volume of cylindrical shape v=
56.52 inch³
Diameter of cylindrical glass d= 3
inch
But raduis r =diameter/2=3/2= 1.5
inch
We know that the the expression for the volume of a cylinder is given as
v= πr²h
Substituting our given data to solve for the height h
56.52= 3.14*(1.5)²*h
56.52= 7.065h
h= 56.52/7.065
h= 8 inches
To calculate the height of the cylindrical glass, use the volume formula with the radius from the diameter, and solve for the height. The final calculation shows that the glass is 8 inches tall, corresponding to option D.
Explanation:To find the height of a cylindrical drinking glass given its volume and diameter, we can use the formula for the volume of a cylinder: V = πr²h, where V is the volume, π (pi) is a constant approximated as 3.14, r is the radius of the cylinder, and h is the height of the cylinder.
Since the diameter is given as 3 inches, the radius r is half of that, which is 1.5 inches. By substituting the values into the formula and solving for h, we get:
V = πr²h
56.52 = 3.14 × (1.5)² × h
56.52 = 3.14 × 2.25 × h
56.52 = 7.065 × h
h = 56.52 / 7.065
h = 8 inches
Therefore, the height of the drinking glass is 8 inches, which corresponds to choice D.
what is circumference of a circle with a radius of 25 feet?
Answer:
C≈157.08ft
Solution
C=2πr=2·π·25≈157.07963ft
Answer:
157.0796327 is my answer
PLEASE HELP
Select ALL of the expressions that correctly calculate the perimeter of the shape.
1. 40 + 20π
2. + 20π
3. 120 + 20π
4. 300 + 100π
5. 10 + 10 + 10π + 10 + 10 + 10π
Answer:
1 and 5
Step-by-step explanation:
The squares have a side length of 10 and 1 square side is the radius of the half-circles. Since there are two half-circles, find the circumference for one full circle:
[tex]C=2\pi r[/tex]
Insert the radius:
[tex]r=10\\C=2\pi *10[/tex]
Simplify pi:
[tex]C=2*3.14*10[/tex]
Simplify multiplication:
[tex]C=6.28*10\\C=62.8[/tex]
The circumference of the circles is 62.8. Now find the perimeter of the exposed squares with side length 10. There are 4 exposed sides, which equals one square. Find the perimeter:
[tex]P=10+10+10+10\\P=10+10+20\\P=10+30\\P=40[/tex]
Add the perimeter of the circle and the square together:
[tex]P=62.8+40=102.8[/tex]
Now see which of the options gives you the perimeter:
1. [tex]40+20\pi =102.8[/tex] ****
2. [tex]unavailable[/tex]
3. [tex]120+20\pi =182.8[/tex]
4. [tex]300+100\pi =614.2[/tex]
5. [tex]10+10+10\pi +10+10+10\pi =102.8[/tex] ****
Finito.
The expression . 40 + 20π and 10 + 10 + 10π + 10 + 10 + 10π gives the correct value of the perimeter is 102.8 .
We have to determine, the perimeter of the given shape in the question.
According to the question,
The squares have a side length of 10 and 1 square side is the radius of the half-circles.
There are two half-circles,
To find the circumference for one full circle:
[tex]C = 2\pi r[/tex]
Where radius = 10
[tex]C = 2\times 3.14 \times 10\\\\C = 62.8[/tex]
The circumference of the circles is 62.8.
To find the perimeter of the exposed squares with side length 10.
There are 4 exposed sides, which equals one square.
Therefore, perimeter p is given as,
[tex]P = 10+10+10+10\\\\P = 40[/tex]
On adding the perimeter of the circle and the square together:
[tex]P = 62.8+ 40 = 102.8[/tex]
Check all the statement which give perimeter of the shape,
[tex]40+20\pi = 40+ 20\times3.14 = 102.8\\\\20\pi = 20 \times 3.14 = 62.8\\\\120+20\times \pi = 120+20\times3.14= 182.8\\\\300 + 100\times\pi = 300+100\times3.14 = 614\\ \\10+10+10\times\pi +10+10+10\times\pi = 40+ 20\times3.14 = 102.8[/tex]
Hence, The expression . 40 + 20π and 10 + 10 + 10π + 10 + 10 + 10π gives the correct value of the perimeter is 102.8 .
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Please help me solve just for the answer anything helps M varies inversely as the square of P. If M is 9 when P is 2, then find M when P is 3.
Answer:
4
Step-by-step explanation:
When M varies inversely P squared rhen this is represented as
[tex]M=\frac {k}{P^{2}}[/tex]
Here, k is a constant of proportionality
Now when M is 9 and P is 2, P squared will be 4. Now substituting the value of P squared and M into the equation we can find the xonstant of proportionality as
K=9*4=36
Now that we have k, when P is 3 then we substitute the value of P as 3 and k as 36 into the first equation hence
[tex]M=\frac {36}{3^{2}}=4[/tex]
Therefore, M=4
Jorge has 10 more dimes than quarters and the collection of coins is worth $2.40. How many dimes and quarters does Jorge have? Show your work.
Answer:
4quarters and 14dimes
Step-by-step explanation:
If you were to plot the point (4,-12) what would be the correct method?
Answer: it is the last one
Step-by-step explanation:
If you were to plot the point (4,-12), the correct method is to plot the point 4 units right, then 12 units down
Option D is correct
If a point is expressed in the form (x, y), the coordinate x represents the location of the point on the horizontal axis while the coordinate y represents the location of the point on the vertical axis
If x is positive, it means that the point is plotted on the right hand side of the horizontal axis. If x is negative, it means that the point is plotted on the left hand side of the horizontal axis
If y is positive, it means that the point is plotted on the top region of the vertical axis. If y is negative, it means that the point is plotted on the bottom region of the vertical axis
For the point (4, -12)
x = 4, and y = -12
Since x = 4 is positive, the graph is plotted 4 units to the right
Since y = -12 is negative, the graph is plotted 12 units down
Therefore, If you were to plot the point (4,-12), the correct method is to plot the point 4 units right, then 12 units down
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A spinner travels around a circle. The radius is 3 inches. Mike spins the spinner and it travels completely around the circle 5 times. About how far did the tip of the spinner travel?
Answer:
The spinner travelled 94.2 inches.
Step-by-step explanation:
In order to solve this question we first need to calculate the length of the circle, that is given by the following formula:
length = 2*pi*r
length = 2*3.14*3 = 18.84 inches
Since the spinner revolved around the circle 5 times, the distance travelled by the tip is the length of the circle multiplied by 5, as shown below:
distance = length*5
distance = 18.84*5 = 94.2 inches
The spinner travelled 94.2 inches.
Answer:
94.2 inches.
Step-by-step explanation:
The length of the circle can be determined by
length 'l'= 2πr
l = 2 x 3.14 x 3 = 18.84 inches
As the spinner and it travels completely around the circle 5 times, therefore, we'll have the distance of
distance = l x 5
distance = 18.84 x 5 => 94.2 inches
Thus, the tip of the spinner traveled 94.2 inches.
To make banana berry smoothies, Just Juice mixes water and juice in a ratio of 5 to 3. How much water and juice should Just Juice mix to make 104 quarts of banana berry smooties?
Answer:
65 quarts of water and 39 quarts of juice are required to make 104 quarts of banana berry smoothies
Step-by-step explanation:
Given:
Ratio of water and juice in banana berry smoothies = [tex]5:3[/tex]
To find:
Amount of water and juice required to make 104 quarts of banana berry smoothies
Solution:
Amount of water required to make 104 quarts of banana berry smoothies = [tex]\frac{5}{8}[/tex]×104 = 5×13 = 65 quarts
Amount of juice required to make 104 quarts of banana berry smoothies = [tex]\frac{3}{8}[/tex]×104 = 3×13 = 39 quarts
So,
65 quarts of water and 39 quarts of juice are required to make 104 quarts of banana berry smoothies.
To make 104 quarts of banana berry smoothies with a water to juice ratio of 5:3, Just Juice should mix 65 quarts of water with 39 quarts of juice.
Explanation:To make banana berry smoothies with a mix of water and juice in a ratio of 5 to 3, and to create a total of 104 quarts, we need to find the amount of water and juice separately. Since the total parts of the ratio is 5 parts water plus 3 parts juice, which equals 8 parts, we can calculate the amount of each as follows:
Divide the total amount of smoothie by the total number of parts: 104 quarts / 8 parts = 13 quarts per part.Multiply the quarts per part by the number of parts for water: 13 quarts x 5 parts = 65 quarts of water.Multiply the quarts per part by the number of parts for juice: 13 quarts x 3 parts = 39 quarts of juice.Therefore, Just Juice should mix 65 quarts of water with 39 quarts of juice to make 104 quarts of banana berry smoothies.
A _____________________________ has a constant change in the x values and a constant ratio in the y values.
A 'directly proportional' has a constant change in the x values and a constant ratio in the y values' is filled by the term .
A directly proportional relationship between two variables means that there is a constant change in the x values and a constant ratio in the y values. In mathematical terms, we say that y is directly proportional to x if y = kx, where k is known as the proportionality constant. This implies that for any constant increment in x, there will be a proportional constant change in y.
If we plot a graph of two variables that are directly proportional, the result is a straight line that passes through the origin (0, 0). This is because the ratio y/x remains constant at the value of k. The slope of this line represents the constant rate of change between y and x, and the slope is equal to the proportionality constant k.
How many feet are in 5 yards ?? Explain how you calculated your answer.
Answer:
15 feet
Step-by-step explanation:
1 yard = 3 feet
2 yards = 6 feet
3 yards = 9 feet
4 yards = 12 feet
5 yards = 15 feet
Answer:
15 feet.
Step-by-step explanation:
Hello there!
First calculate how many feet are in a yard, then multiply it by 5.
[tex]1*3=3\\3*5=15 ft[/tex]
;)
which expressions are equivalent to the one below? 21x/7x
Step-by-step explanation:
21x/7x = 21/7 (The x cancel out)
= 3
What is the area of a triangle whose sides measure 12 inches, 14 inches, and 18 inches?
Enter your answer, in simplified radical form, in the box.
Answer:
A = [tex]8\sqrt{110}[/tex] [tex]inches^{2}[/tex]
Step-by-step explanation:
In this question, we are tasked with calculating the area of a triangle given the length of its three sides
Mathematically, we can calculate this using the Heron's formula
For Heron's formula, A = [tex]\sqrt{S(S-A)(S-B)(S-C)}[/tex]
WHERE S = [tex]\frac{A+B+C}{2}[/tex]
we take the lengths of the triangle as A,B and C respectively as given
S = (12 + 14 + 18)/2 = 22
Plugging the values into the equation, we have;
A = [tex]\sqrt{22(22-12)(22-14)(22-18)}\\ \\\sqrt{22(10)(8)(4)} \\\\\sqrt{7040}[/tex]
A = [tex]8\sqrt{110}[/tex] [tex]inches^{2}[/tex]
Answer:
8*sqrt(110)
Step-by-step explanation:
how do you do box and whisker plots?
Answer:
Find the five number summary of the data:
Minimum = x
Quartile 1 = x
Quartile 2 (median) = x
Quartile 3 = x
Maximum = x
Then, make the plot based on that information. If you are provided with a list of data, you should be able to use a calculator to find out that information.
Final answer:
A box-and-whisker plot is graphed by organizing data, finding the five key data points (minimum, Q1, median, Q3, maximum), plotting a box from Q1 to Q3 with a median line, drawing whiskers to the minimum and maximum values, and indicating outliers if any.
Explanation:
To graph a box-and-whisker plot, start with organizing the data in ascending order and then identify the five key data points: the minimum value, the first quartile (Q1), the median (the second quartile or Q2), the third quartile (Q3), and the maximum value. Follow these steps:
Find the median of the entire data set. This divides the data into two halves.Find the first quartile (Q1), which is the median of the lower half of the data, and the third quartile (Q3), which is the median of the upper half of the data. The interquartile range (IQR) is the distance between Q1 and Q3.Identify the minimum and maximum values in the data set that are not outliers. Outliers are determined by using the values Q1 - 1.5(IQR) and Q3 + 1.5(IQR).Draw a number line that adequately represents the range of the data.Plot a box from Q1 to Q3 and draw a line inside the box at the median value.Draw whiskers from Q1 to the minimum value and from Q3 to the maximum value.Indicate any outliers with dots if they are present.Which statements about square roots are true? Check all that apply.
The square root of a positive number cannot be negative.
All positive numbers have two square roots.
18 = 9 because 9(2) = 18.
149 = 7 because 7(7) = 49.
25 = 5 because 52= 25.
The square root of a positive number cannot be negative, all positive numbers have two square roots, and 25 = 5 because 52 = 25.
Explanation:The statements that are true about square roots are:
The square root of a positive number cannot be negative.All positive numbers have two square roots.25 = 5 because 52 = 25.These statements are correct because the square root of a positive number will always be positive, every positive number has two square roots (one positive and one negative), and the square root of 25 is 5 because 5 multiplied by itself is equal to 25.
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Quentin was challenged to a half- court shooting competition. He will earn 20 points for every shot made and lose 5 points for every shot missed. Quentin has zero points. How many shots did he make
Answer:
Quentin made a total of 4 shots
Step-by-step explanation:
The complete question is as follows;
Quentin was challenged to a half-court shooting completion. For every half-court shot he makes, he will earn 20 points. For each half-court shot he misses, he will lose five points. After 20 half-court shots, Quentin has zero points. How many half-court shots did he make?
Now let's answer;
Let the number of shot he makes be x and the number of shot he misses be y
For every shot made, we have +20, for every shot missed, we have -5
Firstly we know that adding both numbers would give 20.
Mathematically;
x + y = 20 (i)
Now, we add the number of points he made to the number of points he missed to give a total of 0
Mathematically, that would be;
+20x -5y = 0 (ii)
from i, y = 20-x
Substitute this in ii
20x -5(20-x) = 0
20x - 100 + 5x = 0
25x = 100
x = 100/25
x = 4
This means that he made 4 shots