[tex] \mathfrak{V=a³}[/tex]
Where,
a is the length of edgeIn our case,
a = 5 feet[tex] \sf \: V= {5}^{3} [/tex]
[tex] \sf \: V= {125} \: ft^{3} [/tex]
➪ Thus, The volume of the cube is 125 feet³...~
We know that:
[tex]Volume = L^{3} = (L)^{3}[/tex]
Substituting the side length into the equation:
[tex]Volume = (L)^{3}[/tex]
[tex]Volume = (5)^{3}[/tex]
Evaluating the volume:
[tex]Volume = (5)(5)(5)[/tex]
[tex]Volume = 125 \space\ ft^{3}[/tex]
The sum of two numbers is 33. One number is 2 times as large as the other
Answer:
11 and 22
Step-by-step explanation:
x + y = 33
y = 2x
x + 2x = 33
3x = 33
x = 11
Given the following functions, find the indicated values.
f(x) = 6 - 2x
(a) f(-3)
(b) f(0)
(c) f(4)
(a) f(-3)=blank
plz help
Answer:
f(-3)=6-2x is f(-3)=6-2(-3) this equals f(-3)=12
B f(0)=6
C f(4)= -2
Step-by-step explanation:
Bacisly you would just have to sub in the x portion of your problem. Then you can solve like normal
A function is a relationship between inputs where each input is related to exactly one output.
The value of f(-3) is 12
The value of f(0) is 6
The value of f(4) is -2
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = 6 - 2x
Substitute x = -3, 0, and 4 on f(x).
f(-3) = 6 - 2 x (-3) = 6 + 6 = 12
f(0) = 6 - 2 x 0 = 6 - 0 = 6
f(4) = 6 - 2 x 4 = 6 - 8 = -2
The inputs are -3, 0, and 4.
The outputs are 12, 6, and -2.
Thus,
The value of f(-3) is 12
The value of f(0) is 6
The value of f(4) is -2
Learn more about functions here:
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Let V be the volume of a right circular cone of height h=14 whose base is a circle of radius R=2. An illustration a right circular cone with horizontal cross sections. The right circular cone has a line segment from the center of the base to a point on the circle of the base is labeled capital R, and the horizontal line from the vertex is labeled h.
Required:
Use similar triangles to find the area of a horizontal cross section at a height y.
Answer:
The area of a horizontal cross section at a height is [tex]\pi\times(2-\dfrac{y}{7})^2[/tex]
Step-by-step explanation:
Given that,
Height = 14 m
Radius = 2 m
Let V be the volume of a right circular cone
We need to calculate the value of R
Using given data
[tex]\dfrac{h}{r}=\dfrac{h-y}{R}[/tex]
Put the value into the formula
[tex]\dfrac{14}{2}=\dfrac{14-y}{R}[/tex]
[tex]7R=14-y[/tex]
[tex]R=2-\dfrac{y}{7}[/tex]
We need to calculate the area of a horizontal cross section at a height y
Using formula of area
[tex]A=\pi R^2[/tex]
Put the value into the formula
[tex]A=\pi\times(2-\dfrac{y}{7})^2[/tex]
Hence, The area of a horizontal cross section at a height is [tex]\pi\times(2-\dfrac{y}{7})^2[/tex]
The area of the circular cone at height y can be derived as a function, A,
having y as the input variable.
Correct response:
[tex]Area \ of \ horizontal \ cross \ section \ at \ height \ y \ is \ \underline{ A = \pi \times \dfrac{\left(14 - y\right)^2}{7} }[/tex]
Method used for deriving the areaThe given parameters are;
Shape of figure = Right circular cone
Height of the cone, h = 14
Base radius, R = 2
Required:
The area of a cross section at a height y using similar triangles
Solution:
We have using similar triangles;
[tex]\mathbf{\dfrac{h}{h - y} }= \dfrac{R}{r} [/tex]
Which gives;
[tex]\mathbf{\dfrac{14}{14 - y}} = \dfrac{2}{r} [/tex]
Therefore;
2·(14 - y) = 14·r
28 - 2·y = 14·r
[tex]r = \dfrac{28 - 2 \cdot y}{14} = 2 - \dfrac{y}{7} [/tex]
The horizontal cross sectional area, A = π × r²
Therefore;
[tex]Area \ of \ the \ cross \ sectional \ area,\ A = \pi \times \left(2 - \dfrac{y}{7} \right) = \underline{ \pi \times \dfrac{\left(14 - y \right)^2}{7} }[/tex]
Learn more about a circular cone here:
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Consider the following equation. 4x + 2 = 8x - 5 Which equation and explanation could represent a step in finding the value of x? (4x) + 2 = * (8x) - 5 Use the multiplication property of equality to simplify the variable term on the left side of the equation. 4x + 2-5= 8x - 5 + 5 Use the addition property of equality to move the constants to one side of the equation. 11 / + 2 (4x + 2) = | (8x - 5) Use the multiplication property of equality to simplify the variable terms on both sides of the equation. O 4x + 2 - 4x = 8x - 5 - 4x Use the addition property of equality to move the variables to one side of the equation.
Answer:
Step-by-step explanation:
Given the expression 4x+2 = 8X-5. To find the value of x, we need to follow the steps;
Sep 1:
Add 5 to both using addition property to move 5 to both sides
4x+2+5= 8x-5+5
4x+7 = 8x
Step 2:
Collect like terms
4x-8x = -7
-4x = -7
Step3:
Divide both sides by -4
-4x-4 = -7/-4
x = 7/4
The tuition cost for part-time students taking C credits at Stonewall College is given by 300+300C dollars.
A-Find the tuition cost for 13 credits. Do not use dollar signs or commas in your answer.
B-If the tuition cost is $3300, how many credits are taken?
Answer:
[tex]part \: a. \\ t = 300+300(13) = 300+300C = \\300 + 3,900 = 4,200 \\ t = 4,200[/tex]
[tex]part \: b. \\ 3300 = 300+300(c) \\ 3300 - 300 =300(c) \\ 3000 \div 300 = c = 10 \\ c = 10[/tex]
a.
The tuition cost for 13 credits is
= 300 + 300C
= 300 + 300 (13)
= 300 + 3900
= 4,200 dollars.
b.
And, the number of credits is
$3,300 = 300 + 300C
$3,300 - 300 = 300C
$3,000 = 300C
C = 10 credits
Therefore we can conclude that
The tuition cost for 13 credits is $4,200.And, the number of credits that are taken is 10.Learn more about the credit here: brainly.com/question/1475993
PLEASE HELP WILL GIVE BRAINLIEST TY
You go to the doctor and he gives you 15 milligrams of radioactive dye. After 20 minutes, 7.25 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm.
If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived?
Give your answer to the nearest minute.
How many minutes will you spend at the doctor's office?
Answer:
=34 minutes.
Step-by-step explanation:
Done according to my own understanding!
15mg - 7.25mg = 7.75mg
7.75mg / 20min = 0.3875mg per minute
7.25mg - 2mg = 5.25mg
5.25mg / 0.3875mg = 13.5483871 minutes
13.5483871 minutes + 20 minutes = 33.5483871 minutes
=34 minutes.
An aeroplane X whose average speed is 500°km/hr leaves kano airport at 7.00am and travels for 2 hours on a bearing 050°. It then changes its course and flies on a bearing 120° to an airstrip A. Another aeroplane Y leaves kano airport at 10.00am and flies on a straight course to the airstrip A. both planes arrives at the airstrip A at 11.30am. calculate the average speed of Y to three significant figures. the direction of flight Y to the nearest degree
Answer:
72
Step-by-step explanation:
1 Solve the expression 8 x 5 – 12 x + 5 using PEMDAS. 3
39
40
41
42
Answer:
39
Step-by-step explanation:
Rectangle A has a length of 2 and a width of 10. Rectangle B has a length of 4
and a width of 5. Rectangle A and Rectangle B (doing a test please answer fast)
Answer: dang bro i never do flvs that early in school. Sorry my guy i got no answer to that. Im quite dumb myself in math
Step-by-step explanation:
Suppose you were to collect data for each pair of variables listed below. You want to make a scatterplot. Which variable would you use as the explanatory variable and which as the response variable? Why? What would you expect to see in the scatterplot? Discuss the likely direction, form, and strength. a) Cell phone data plans for a person who wants a large file size: file size, cost b) Lightning strikes by a person watching a lightning storm: distance from lightning, time delay of the thunder c) A streetlight that you are approaching: its apparent brightness, your distance from it d) Cars being catalogued at a dealership: weight of car, age of owner
Answer and explanation:
1. Cost is response variable while file size is explanatory variable. Cost is response variable here because it is the dependent variable and the other is the independently variable that affects the dependent variable cost. The scatter plot will show how much cost increase with each change in file size. Scatter plot is in positive direction and strong
2. Time of delay of thunder is response variable while distance from lightning is explanatory variable. Time of delay is dependent variable while the other is independent variable which affects it. Scatter plot shows how much delay of thunder changes with change in distance from lightning. Positive scatter plot and strong
3. Your distance from it is explanatory variable while apparent brightness is response variable. Distance from it is independently variable while the the other is dependent variable. Scatter plot shows change of brightness with each change of distance. Negative direction as distance increase results in brightness decrease. It is strong.
4. weight of car is response variable while age of owner is explanatory variable. Weight of car is dependent variable while the other is independent variable. Scatter plot shows change of weight of car with change of age of owner. Positive direction as one increases the other increases. Strong
Find the solution set to the given equation. Answer only in numbers.
4x2 – 16x = 0
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{4x^2 - 16x = 0}\\\large\text{FACTOR the LEFT SIDE of the given equation.}\\\mathsf{\rightarrow 4x(x - 4) = 0}\\\large\text{After step 1 is complete, set the factors to equal to 0.}\\\mathsf{\rightarrow 4x = 0\ or\ x - 4 = 0}\\\larg\text{Lastly, you have to SIMPLIFY new equations you have now.}\\\mathsf{\rightarrow x = 0\ or\ x = 4}\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 0\ or\ x = 4}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]plus help me its really simple ill give you the brainiest
Answer:
Whole Numbers
Step-by-step explanation:
Whole numbers is the only set of numbers in the following choices that don't include negative numbers (only positive integers and zero). Therefore, since -7 is negative, it doesn't belong to whole numbers!
Simplify x - 1 / 5(x - 1)^2
Answer:
1/5(x-1)
Step-by-step explanation:
cancel x-1
then we get
1/5(x-1)
If not understand comment below.
how many apples would you have if you buy 256-123x234/78
Answer:
135 because if you put it in a caluclator that is what you get
Six chicken sandwiches and four drinks cost $16.00. Six chicken sandwiches
and two drinks cost $14.00. How much is a chicken sandwich?
Answer:
$2.67
Step-by-step explanation:
16 ÷ 6 = 2.66666666667
2.67 x 6 = 16.2
(well, it was close.)
Sorry if it's wrong.
Bye, have a great day.
Find the length of The side of a square with area 225square units
Answer:
Step-by-step explanation:
Let length of side = x
area = x²
so x² = 225 = 15²
then x = 15 units
Answer:
Formula for area of square;
A = a^2
where a represents the length of one side of the square, so;
A = a^2
given that the total area is 225,
225 = a^2
√225
= 15
A restaurant has square tables. Only one person can sit on either end of the table.
Now
Write out the formula to show how you to work out the "number of people" from the number of tables.
Someone making the booking for 20 people. How many tables must be pushed together?
Answer:
10
Step-by-step explanation: Because 10x2=20
so in this case if they were to push the tables togther only 1 can sit at one square table if there pushed together
unless each table held 2 people like one on one side and one on the other it would be the same formula because 10 on one side of the tables and 10 on the other side would be 10x2
10+10=20 or 10x2=20
ethier one would be the same
hope this helps you!
The distance between
-2 and 4
5 and -3
8 and -12
-9 and 17
Answer:
1. 6
2. -8
3. -4
4. 26
Step-by-step explanation:
yk how it's done
What is the constant rate of change of the
function represented in the table?
Answer: it is -4 or c
Step-by-step explanation:
Solve for x:
3(x-4+1b)=8
Step-by-step explanation:
[tex]3\left(x-4+1\cdot \:b\right)=8[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]
[tex]\frac{3\left(x-4+1\cdot \:b\right)}{3}=\frac{8}{3}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x-4+b=\frac{8}{3}[/tex]
[tex]\mathrm{Subtract\:}b\mathrm{\:from\:both\:sides}[/tex]
[tex]x-4+b-b=\frac{8}{3}-b[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x-4=\frac{8}{3}-b[/tex]
[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]
[tex]x-4+4=\frac{8}{3}-b+4[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=-b+\frac{20}{3}[/tex]
[tex]\\ \rm\Rrightarrow 3(x-4+b)=8[/tex]
[tex]\\ \rm\Rrightarrow 3x-12+3b=8[/tex]
[tex]\\ \rm\Rrightarrow 3x+3b=20[/tex]
[tex]\\ \rm\Rrightarrow x+b=20/3[/tex]
[tex]\\ \rm\Rrightarrow x=20/3-b[/tex]
pls help me with number 12 I don’t know the answer I have been trying for a long time pls help
Answer:
m=1/1 or just 1, b=(0,3.5) equation:y=x+3.5
Step-by-step explanation:
The pattern is as x increases by 1, so does y by the same amount, 1. This means the line is at a 45 degree angle increasing vertically and horizontally at the same pace. However, it is moved up 3.5 units in the y direction because when x=0, y=3.5
7. Which of the following is true about the set of all solutions for f(x) = 4x?
Select all that apply.
A. It is continuous,
B. It is linear
C. It is exponential
D. The point (1,4) falls on the graph,
E. The point (4,0) falls on the graph,
Answer:
B.It is linear 180=3x2+24x+36
Step-by-step explanation:
ch rectangle. Then write an equation and solve it.
and width of each rectangle.
- 4
A=64
*-4
loc- 4
*-4
Can you please help me thank you
Factor 16a + 72 to find the equivalent expression
Answer:
[tex]=8\left(2a+9\right)[/tex]
Step-by-step explanation:
[tex]16a+72[/tex]
[tex]\mathrm{Rewrite\:}16\mathrm{\:as\:}8\cdot \:2[/tex]
[tex]\mathrm{Rewrite\:}72\mathrm{\:as\:}8\cdot \:9[/tex]
[tex]=8\cdot \:2a+8\cdot \:9[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}8[/tex]
[tex]=8\left(2a+9\right)[/tex]
Hence, the correct answer is [tex]=8\left(2a+9\right)[/tex]
Answer:
8(2a+9)
Step-by-step explanation:
Hope this helps
answer quick! ......................
Answer:
10 units up
Step-by-step explanation:
An example of this is where the graph changes from (0,0) to (0,10)
Have an amazing day!
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my h shopping bill come to fourteen pounds and eight-six peace how much change should i receive from 20 pounds note
Answer:
5 pounds 14 pence
50 -19= 31
Step-by-step explanation:
What is the mean? If the answer is a decimal, round it to the nearest tenth. 46026594
Answer:
28
With the mean, you have to add up the scores and subtract by the total values.
The only score number I know of is 20, so I just added up the values.
Hope this helps, let me know.
Use the graph to determine iffis odd, even, or neither
O A. Even
A
OB
Neither
OC. Odd
Answer: it is neither
what is the distance between points (4,0) and (8,-5)
Answer:
(4,5)
Step-by-step explanation: