Answer:
x = 4
Step-by-step explanation:
This is because the definition of mode is the number that appears the most or is the popular of the numbers in the data set.
This could be any number since each number is listed once, but the requirements/directions say the mode is 4 so you need another 4 in order to have a mode of 4.
A cylindrical tank holds about 615.44
cubic inches of helium. The radius of the tank
is 3 1/2 (3 and one half)inches. What is the height of the tank?
Use 3.14 for Pi. (Please give explanation/show work)
Answer:
The height is 15.992 in
Step-by-step explanation:
1. The equation for a cylinder is [tex]V=\pi r^2h[/tex]. In this case, the equation looks like [tex]615.44=\pi (3.5)^2h[/tex]
2. Isolate h by dividing both sides of the equation by [tex]\pi (3.5)^2[/tex]
3. This leaves us with [tex]\frac{615.44}{\pi (3.5)^2}=h[/tex]
4. Solve for the left side, which leaves us with h = 15.992 (rounded to the nearest thousandth)
The volume of a cylinder is 10.14 cudic centimeters. If a cone has the same height and radius as the cylinder, what is its volume?
Answer:
3.38 cm^3
Step-by-step explanation:
volume of cylinder = pi r^2 h
10.14 / pi = r^2 h
volume of a cone = 1/3 pi r^2 h
V = 1/3 pi (10.14/pi) = 3.38
questions in the attached img. thanks in advance
Answer:
[tex][tex]\: \blue{ \rule{10pt}{100000pt}}[/tex][tex]\: \pink{ \rule{10pt}{100000pt}}[/tex][tex]\: \green{ \rule{10pt}{100000pt}}[/tex][tex]\: \violet{ \rule{10pt}{100000pt}}[/tex]
\\ [tex]\: \blue{ \rule{10pt}{100000pt}}[/tex][tex]\: \pink{ \rule{10pt}{100000pt}}[/tex][tex]\: \green{ \rule{10pt}{100000pt}}[/tex][tex]\: \violet{ \rule{10pt}{100000pt}}[/tex]
[/tex]
The lateral area of a cone is 19.2π in2. The radius is 2.4 in. Find the slant height.
The slant height of a cone with lateral surface are of 19.2π inches squared and radius of 2.4 inches is 8 inches.
Lateral surface area of a coneThe formula for the lateral surface area of a cone is described as follows:
Lateral area = πrl
where
r = base radiusl = slant heightTherefore,
Lateral area = 19.2π inches²
r = 2.4 inches
Lateral area = π × 2.4 × l
19.2π = 2.4πl
divide both sides by 2.4π
l = 19.2π / 2.4π
l = 8 inches
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Solve for x. Round to the nearest tenth, if necessary.
Answer:
We need to use the sine of 17 degrees to find x. Our proportion is sin(17 degrees)=x/9.3. Multiply both sides by 9.3 and we get 9.3sin(17)=x. Using a calculator, we get about 2.7.
How many cups of water should be mixed with 1/4 cup of vinger to make the cleaning solution
Answer:
"mix 1 cup of vinegar with 1 gallon of water"
1 cup = 8oz; 1/4 cup = 2oz
You can see that the amount of vinegar is 1/4 of the original amount,
so, we will need 1/4 of the amount of water, which is 1gallon = 128oz
so, 1/4 times 128oz = 32oz, which is one quart
Algebraically, 8oz : 128oz = 2oz : x
8x = 256; x = 32oz
Which of the triangles shown are scalene triangles?
A group of triangles. Triangle A has three acute angles and two equal sides. Triangle B has two acute angles, one ninety degree angle, and two equal sides. Triangle C has three acute angles and two equal sides. Triangle D has two acute angles and one obtuse angle. All the sides on this triangle are different lengths.
The triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.
What is a Scalene Triangle?A scalene triangle is a triangle whose three angles are unequal and also has three unequal sides.
This means that any two sides or two angles of a scalene triangle must not be equal.
Thus, the triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.
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A mountain in Jackson County is eroding and losing elevation at a rate of 5% every
millennium. If the current elevation is 1,300 meters, how tall will the mountain be in 8
millennia?
mund your anuor to the noroctwhold number
Answer:
862 m (nearest whole number)
Step-by-step explanation:
General form of an exponential function: [tex]\sf y=ab^x[/tex]
where:
a is the y-intercept (or initial value)b is the base (or growth factor)x is the independent variabley is the dependent variableIf b > 1 then it is an increasing function
If 0 < b < 1 then it is a decreasing function
If the mountain is losing elevation at a rate of 5% every millennium , then it as every millennium passes, it will be 95% of the height it was in the previous millennium (as 100% - 5% = 95%)
Given:
a (initial value) = 1300 mb = 95% = 0.95x = 8 millenniaSubstituting these values into the formula:
[tex]\sf \implies y=1300(0.95)^8[/tex]
[tex]\sf \implies y=862.4467607...[/tex]
[tex]\sf \implies y=862 \ m \ (nearest \ whole \ number)[/tex]
find the slope of the line that passes through the points given in the table
Answer:
17. -2.5
18. 3
19. 0
20. -1
21. 2.33
22. undefined
The Slope of line:
1. -5/2
2. 3
3. 0
4. -1
5. 7/3
6. ∞
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
1. Slope of line
= (1-11)/ (-2 +6)
= -10 / 4
= -5/2
2. Slope of line
= (-2+ 5)/ (-3+ 4)
= 3 / 1
= 3
3. slope of line
= (6-6)/ (3+1)
= 0
4. Slope of line
= (7-8)/ (2-1)
= -1
5. Slope of line
= (-1+8)/ (0+3)
= 7/3
6. Slope of line
= (3-5)/ (-2+ 2)
= ∞
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what is the product of 237 and 962?
Answer:
227994
Step-by-step explanation:
Answer:
value x value = product
237 x 962 = product = 227,994
Step-by-step explanation:
hope this helps,
Help does this even make sense
Answer:
You can set two simultaneous equations and solve it
Let the cost of a plate be x, and the cost of a cup be y.
5x + 4y = 19.6 --- 1
6x + 5y = 23.8 --- 2
25x + 20y = 98 --- 3
24x + 20y = 95.2 --- 4
3 - 4 : x = 2.8
Sub x = 2.8 into 1
5(2.8) + 4y = 19.6
4y = 5.6
y = 1.4
so 1 plate costs 2.8 dollars and 1 cup costs 1.4 dollars
hope this helps!!! please mark brainliest!!!!
Find the lateral surface area of the triangular prism. refer to your staar 8th grade math reference sheet for the appropriate formula. question 8 options: 90 in2 110 in2 120 in2 130 in2
The lateral surface area of the triangular prism is 130 in sq. So, option D is the correct answer.
What is the lateral surface area of the triangular prism?The lateral surface area of the triangular prism is the product of the perimeter of the base and length.
L = perimeter of the base × length.
The side of the base is given as 7in, 3in, and 3in
and the length is 10in
The lateral surface area of the triangular prism = perimeter of the base × length.
L = (7in + 3in + 3in) 10
L = 13 × 10
L = 130 in sq.
Hence, The lateral surface area of the triangular prism is 130 in sq. So, option D is the correct answer.
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Answer:
130 ig
Step-by-step explanation:
What is the answer to this?
Answer:
4 mm
Step-by-step explanation: The height is the same length of the length
Have a good day!
The volume of a rectangular prism is given by V = l×w×h
48 = 3×4×n
48 = 12n
n = 4
Answer:
n = 4
Step-by-step explanation:
The volume of a rectangular prism is given by
V = l×w×h
Subbing in known variables and solving
48 = 3×4×n
48 = 12n
n = 4
Which statement illustrates the distributive property?
3(4+5) = 3(4)+5
3(4+5)-3(4)+ 3(5)
3[(4)(5)] - 3(4)+3(5)
3[(4)(5)] = [ 3(4)][3(5)]
Answer:
3(4+5)=3(4)+3(5)
Hope it helps
Step-by-step explanation:
A line has a slope of -3 and passes
through the point (8,-12).
There aren't enough parts for this to be classified as a question.
Which of the following number CANNOT represent the probability of an event?
A. 0.888
B. 0
C. 4.2
D. 0.39
Answer:
c
4.2 would mean a 420% chance of something happening which doesnt make sense
The number 4.2 cannot represent the probability of an event because it is greater than one.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The probability of an event must be less than or equal to one.
So 0.888 can represent the probability of an event because it is a non-negative number that is less than or equal to one.
0, cannot represent the probability of an event because it is a non-negative number but it is not less than or equal to one. This number represents an impossible event.
4.2, cannot represent the probability of an event because is greater than one which means it represents an event that is certain to occur, which is not a probability.
0.39, can represent the probability of an event because it is a non-negative number that is less than or equal to one.
Therefore, the number 4.2 cannot represent the probability of an event because it is greater than one.
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Do Not Red
consider the net of a rectangular pyramid.
156 ft
63 ft S132 ft
63 ft
66 ft
1
156 ft
What is the surface area, in square feet, of the rectangular pyramid?
A 336 ft2
B 434 ft2
C 2,350 ft2
D 7,824 ft2
Answer:
c
Step-by-step explanation:
A handkerchief is 20 cm long and 18 cm broad. how much the breadth must be decreased to cover a surface of 324cm²
Answer:
1.8 cm
Step-by-step explanation:
Hope it will help...
A squared garden has am area of 81 squared meters what is the permiter of this garden
Answer:
9 meters
Step-by-step explanation:
just find the square root of 81 and it gives you the number 9
Given the regular polygon ABCDEF with side lengths of 16 km, find the area of the shaded region. Round your answer to the nearest tenth.
The hexagon surface area is the amount of space on it
The surface area of the hexagon is 665.11 square centimeters
How to determine the surface area?The question is incomplete, as the diagram is not given.
So, I will calculate the surface area of the hexagon.
The side length of the hexagon is given as:
L = 16 km
The surface area of the hexagon is calculated using:
A = 1.5[tex]\sqrt3[/tex]L^2
This gives
A = 1.5 * [tex]\sqrt3[/tex] * 16^2
Evaluate the product
A = 665.11
Hence, the surface area of the hexagon is 665.11 square centimeters
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The circumference of a circle is 44π cm. find the diameter, the radius, and the length of an arc of 110.
Answer:
Step-by-step explanation:
The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is
true?
O x2 + x = 42
O x2 + 2x = 42
O x2 + x + 42 = 0
O x2 + 2x + 42 = 0
ark this and return
Answer:
x² + x = 42
Step-by-step explanation:
let x = a number
then x² is the square of the number
x² + x is the sum of the square of the number and the number.
x² + x = 42
Which expression is NOT equivalent to 100 + 20?
O10(10 + 2)
2(50 + 10)
Submit Answer
04(96 + 5)
5(20 + 4)
Find the perimeter of the given figure.
Answer:
9.4
Step-by-step explanation:
(rectangle) shape 1: perimeter of rctangle= 2(l b)
=7
(semicircle)shape 2:perimeter of semicirlce=½ñd+d(ñ=pie)
0.5×ñ×1.4+1.4=3.6
add them
7+3.6=10.6
i hope i was helpful
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E
H
36
X + 10
57°
370
(5y + 7)º
G
60
F
J
36
1
Triangle FEG is similar to triangle IHJ. Find m_H.
mZH =
What is the answer?
Answer: 86 degrees
Step-by-step explanation:
Is the function even, odd or neither? How do you know?
() = −2^3 - x
Answer:
algebraically" whether a function is even or odd. To do this, you take the function and plug −x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (−x) = f (x), so all of the signs are the same), then the function is even
Step-by-step explanation:
Even functions are symmetrical about the y-axis: f(x)=f(-x). Odd functions are symmetrical about the x- and y-axis: f(x)=-f(-x)
Select the correct answer from the drop-down menu. consider this population data set: 4, 6, 7, 11, 12, 18, 26, 23, 14, 31, 22, and 12. the values 11, 31, 22, and 12 constitute a random sample drawn from the data set. the sample mean is more than the population mean by .
The correct answer from the drop-down menu is 3.5.
What is the mean value?The mean is the average of the numbers. It is easy to calculate add up all the numbers, then divide by how many numbers in the data set.
Therefore the population mean is the sum of the 12 data set values divided by 12
4 + 6 + 7 + 11 + 12 + 18 + 26 + 23 + 14 + 31 + 22 + 12 = 186.
Therefore the population mean
= 186/12
= 15.5.
The sample mean is given by the sum of the 4 sample values divided by 4
11 + 31 + 22 + 12
Sum = 76.
Therefore the sample mean
= 76/4
= 19.
The sample mean is more than the population mean by
= 19 - 15.5
= 3.5.
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Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.
Answer:
Step-by-step explanation:
Answer:
cosA = [tex]\frac{9}{41}[/tex]
Step-by-step explanation:
cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{9}{41}[/tex]
Find the area of the shaded region
Answer:
Step-by-step explanation:
Remark
The easiest way is to find the area of the trianlge and subtract the area of the circle.
Area of the triangle
Area of the triangle = 1/2 b * h
b = 40 km
h = 27 km
The height is a little tricky. Since the angle at the base is greater than 90, you have to extend the base. Drop a line from the peak to the base making a right angle with the base. This has been done for you: the height is 27 km
Area of the triangle = 1/2 * 40 * 27
Area of the triangle = 540
Area of the circle
Area of the circle = pi r^2
r = d/2
r = 12/2
r = 6
Area of the circle = pi * 6*6
Area of the circle = 3.14 * 36
area of the circle = 113.04
Area of the shaded region
Area of the shaded region = area of triangle - area of the circle
Area of the triangle = 540
Area of the circle = 113.04
Area of the shaded region = 540 - 113.04
Area of the shaded region = 426.96
Can X = 2 be linear function
Answer:
yes it can
.........................................
Answer:
Yes
Step-by-step explanation:
A linear function is a straight line and when we graph x=2 the line goes straight through x=2
