Answer:
2145 cubic inches
Step-by-step explanation:
formula for Volume of a sphere: 4/3·π·r³
V = 4/3 ·π ·(8)³
V = 4/3π · 512
V ≈ 2145
2. Express the given statement as an algebraic expression.
Sum ofa and 5 divided by 8
Answer:
An algebraic expression for Sum of a and 5 divided by 8 is [tex]\mathbf{\frac{a+5}{8}}[/tex]
Step-by-step explanation:
We need to express the given statement as an algebraic expression.
Sum of a and 5 divided by 8
Basically, we are given the expression in English sentence and we have to write algebraic expression.
It can be done in two steps:
Sum of a and 5 = We know that sum is denoted by + sign. So, we get (a+5)
Sum of a and 5 divided by 8 = [tex]\frac{a+5}{8}[/tex]
So, An algebraic expression for Sum of a and 5 divided by 8 is [tex]\mathbf{\frac{a+5}{8}}[/tex]
Drag numbers to write an equation for the line in slope-intercept form. Numbers may be used once, more than once, or not at all.
Graph of a diagonal line with x-axis and y-axis. A line is passing through co-ordinates (0,5) and (2,-3).
Answer:
y = -4x + 5
Step-by-step explanation:
Here, we want to get the equation of the line that passes through the given points
The general form is;
y = mx + b
where m is the slope and b is the y intercept
To find the slope, we use the slope formula
this is ;
m = (y2-y1)/(x2-x1)
(x1,y1) = (0,5)
(x2,y2) = (2,-3)
m = (-3-5)/(2-0) = -8/2 = -4
To get the y-intercept we simply substitute one of the points
But we know that the y-intercept is the y-value when x = 0
From the point we can see (0,5) which means that the y-intercept is 5
so the equation of the line is;
y = -4x + 5
The equation of the graph in slope intercept form is y = -4x + 5
Using slope intercept equation
y = mx + b
where
m = slope
b = y- intercept
Therefore,
Let's take 2 coordinates to get the slope.
(1, 1)(0, 5)
y-intercept = 5
Therefore,
m = 5 - 1 / 0 - 1 = - 4
y = -4x + 5
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#1. How many three-letter words can be made from using the letters of the
word "GUARD" (no repeats)
Then notation:
Can someone help me please in thank you
Answer:
Hint: f(x) = y
Step-by-step explanation:
The best way to approach these type of questions is to first substitute the x in the equation with one of the numbers from the table that contains x and y. For example, number 5, f(x) = 8x - 5. One of the numbers states x as 0, meaning I can substitute 0 into the equation as x => f(x) = 8(0) - 5. After that I solve to find f(x), and fill out the slot next to 0. This can be repeated for all blank slots of y. Hope it helped. :)
(If you still need help, you can reply back)
10(1.05)^x growth or decay
Answer:
growth
Step-by-step explanation:
Are 2(x + 1) and 2x + 1 equivalent expressions? explain.
I’m not in a hurry, take your time.
Answer:
Yes
Step-by-step explanation:
When you simplify 2(x+1). [MULTIPLY]
It comes 2x+1 so it is equivalent to 2x+1
Yes, 2(x + 1) and 2x + 1 are equivalent algebraic expression.
Given that,
To determine whether the 2(x + 1) and 2x + 1 are equivalent expressions.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let
y = 2 (x + 1) - - - - - -(1)
z = (2x + 1) - - - - - (2)
from equation1
y = 2 (x + 1)
using the PEMDAS rule, applying operation on the parenthesis 1st as distributive property,
now,
y = 2x + 1
Since the outcome of the equation is equal to equation 2.
Thus, 2(x + 1) and 2x + 1 are equivalent algebraic expression.
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Please help please please ASAP
Answer:
choose the first one.
0.87
Answer:
Use your calculator
Step-by-step explanation:
Press the cos button COS( - should look like that... Then fill it out COS(30) make sure to add the closed parenthesis so you dont get an error. And then BAM you got your answer and dont have to look anymore up. XD
4 The triangles shown are similar. Find y.
180 degrees is equal to a triangle if we add 111 and 32 degrees it will get 143 degrees so we should subtract 143 from 180 degrees it will get 37
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 9 inches. The height of the cone is 18 inches.
Use pi = 3.14.
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work.
Answer:
We can say that volume of cylinder (452.16) is greater than volume of cone (301.44).
Step-by-step explanation:
Diameter of cylinder = 8 inches
Diameter of cone = 8 inches
Height of cylinder = 9 inches
Height of cone = 18 inches
We need to find the relationship between the volume of this cylinder and this cone.
First we will find volume of the cylinder
The formula used is: [tex]Volume=\pi r^2h[/tex]
We have
Diameter of cylinder = 8 inches
Radius = d/2 = 8/2 = 4 inches.
Height of cylinder = 9 inches
Putting values and finding volume
[tex]Volume=\pi r^2h\\Volume=3.14\times (4)^2 \times 9\\Volume=452.16[/tex]
So, Volume of cylinder = 452.16 inches³
Now, we will find volume of the cone
The formula used is: [tex]Volume=\pi r^2\frac{h}{3}[/tex]
We have
Diameter of cone = 8 inches
Radius = d/2 = 8/2 = 4 inches.
Height of cone = 9 inches
Putting values and finding volume
[tex]Volume=\pi r^2\frac{h}{3}\\Volume=3.14 \times (4)^2 \times \frac{18}{3}\\Volume=3.14 \times (4)^2 \times 6\\Volume=301.44[/tex]
So, Volume of cone = 301.44 inches³
Now, comparing volume of both cylinder and cone.
Volume of cylinder = 452.16 inches³
Volume of cone = 301.44 inches³
We can say that volume of cylinder (452.16) is greater than volume of cone (301.44).
cherise deposits 8% of each paycheck into her retirement account. Her last paycheck was $1,485. how much did cherise deposit into her retirement account?
Answer:
108/100×1485=$1603.8
I'm not very sure about the simplification so please simplify again
Step-by-step explanation:
Answer: $118.80
Step-by-step explanation:
8% turns into 0.08
0.08 times 1485 = 118.80
I need help with this question
Answer:
98 in.^2
Step-by-step explanation:
The lateral area is the sum of the areas of the 3 rectangular sides.
The triangular sides are the bases.
lateral area = 7.2 in. * 5 in. + 3 in. * 5 in. + 9.4 in. * 5 in.
lateral area = 36 in.^2 + 15 in.^2 + 47 in.^2
lateral area = 98 in.^2
33 POINTS! Find the area of the shape.
Answer:
The Answer is 41 cm.
Step-by-step explanation:
You have to add each side.
I read it wrong my anwser is wrong
Answer:
103.96
Step-by-step explanation:
justt solved it
is this triangle a SSS, SAS, ASA, AAS, or HL?
Answer:
sss
Step-by-step explanation:
Answer: its a SAS triangle
Step-by-step explanation:
I NEED HELP PLEASE !!!!
Answer: de
Step-by-step explanation:
Identify the constant of proportionality
square root of 479/90
a question that is hard for me. I dont have my calculator
Answer:
the answer is 0.24317854031 hope this helps have a nice day please give me brainliest:))
Step-by-step explanation:
Answer:
0.24317854031
Step-by-step explanation:
1. Open your browser
3. Search up: square root of 479/90
4. Copy paste answer
5. Need I say more?
Solve the system of linear equations by substitution. 2x=y−10 x+7=y
Answer:
(-3, 4)
Step-by-step explanation:
2x = y - 10 (y = x +7) so
2x = x +7 - 10
2x = x -3
x = -3
-3 + 7 = y
4 = y
Step-by-step explanation:
2x = y - 10 and x + 7 = y.
By Substitution,
2x = (x + 7) - 10.
=> 2x = x - 3, x = -3.
Therefore y = (-3) + 7 = 4.
The pair of solutions are x = -3, y = 4.
The difference of 6 and 4. times p
Answer:
2p is the answer
Step-by-step explanation:
There would be a 2p unit gap
help thank you !! :D
Answer:
The zeros are -1 and 2
Step-by-step explanation:
-1 and 2 are the two places where the graph crosses over the x-axis so your answer would be two because -1 isn't a choice.
100 POINTS!
help please
which is the graph of f(x) = 3 square root x/4
Answer:
Given function
[tex]f(x)=\dfrac{3}{4}\sqrt{x}[/tex]
Parent function
[tex]f(x)=\sqrt{x}[/tex]
The square root of a negative number cannot be taken, therefore the domain and range of the parent function are restricted:
Domain: [0, ∞)Range: [0, ∞)This means the parent function begins at the origin (0, 0) and is restricted to Quadrant I.
The only transformation the parent function has undergone is it has been multiplied by 3/4, which means it has been stretched vertically by a factor of 3/4. Therefore, the domain and range will not change.
The points shown on the given graphs are all where x = 4.
[tex]\textsf{Graphed function}: \quad f(4)=\dfrac{3}{4}\sqrt{4}=1.5 \implies (4,1.5)[/tex]
Therefore, the graph of the given function is the graph with:
Domain: [0, ∞)Range: [0, ∞)Point: (4, 1.5)What is 100,000,000x500,000,000
Answer:
5e+16
Step-by-step explanation:
One equation in a system of equations is y=4x-5 write a second equation to complete the system if the solution to the system is (3,7) PLSSS BE QUICK :))
Answer:
4y = -x + 31
Step-by-step explanation:
Given that one equation in a system of equations is y = 4x - 5 write a second equation to complete the system if the solution to the system is (3,7)
Since the solution of the system is (3, 7), that means the two lines of equations meet or intersect at point X = 3 and Y = 7
Let assume that the two equations are perpendicular to each other. Then, there slope can be expressed as
M1M2 = -1
Where M1 = 4
Find M2
4M2 = -1
M2 = -1 / 4
Using general linear equation
Y = MX + C
Let's find C by substituting Y, X and M2
7 = -1 /4( 3 ) + C
7 = -3/4 + C
C = 7 + 3/4
C = 31/4
Substitute C back into the equation
Y = -1/4X + 31/4
4y = -x + 31
Therefore, the second equation is
4y = -x + 31
Work out 7/9 - 3/7
what's the answer in its simplest form
Answer:
22/63 thats ur answer simplifed
The population of a city is modeled by the exponential function ƒ (x) = 689,254 · 2.40.014x, where x is the number of years after 2000. In what year will the city's population exceed one million?
Answer:
2036Step-by-step explanation:
Given the population of a city is modeled by the exponential function
ƒ (x) = 689,254 · 2.4e^0.014x, where x is the number of years after 2000
In order to determine the year that the city's population will exceed one million, we will substitute f(x) = 1,000,000 and find x first as shown:
1,000,000 = 689,254 2.4e^0.014x,
1000000/689,254 = 2.4e^0.014x,
1.4508 = 2.4e^0.014x,
1.4508 /2.4 = e^0.014x,
0.6045 = e^0.014x,
Apply ln to both sides
ln 0.6045 = lne^0.014x,
-0.5033 = 0.014x
x = -35.95
Since x cannot be negative, lets say x ≈ 36years
This means that the population will exceed one million after about 36 years. The year it will exceed this amount will be 2000+36 = 2036
Note that the exponential equation used was not correctly written but the same calculation can be employed for any exponential functions you might have.
How much pure water must be mixed with 10 liters of a 25% acud solution to reduce it to a 10% acid solution
Answer:
15 liters of pure water must be added
2(−5x+4)+4x−5=-3 i need help
2(-5x4)×4x-5=-3 its going to be x=1
Ximena is typing a 2500 word essay. In 9 minutes she types 396 words, at this rate can Ximena type the essay in an hour?
Answer:
yes
Step-by-step explanation:
396÷ 9= 44
44×60= 2,640 > 2500
At the given rate, Ximena can type the 2,640 word essay in an hour.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that Ximena is typing a 2500 word essay. In 9 minutes she types 396 words,
The typing per word.
396÷ 9 = 44
Therefore,
44 × 60 = 2,640
Which is greater than 2500
Hence Ximena can type the 2,640 word essay in an hour.
More about the Algebra link is given below.
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Find the gradient of the line drawn bellow
We need a picture of the problem
What is the standard form of 2x2x2x2x2?
Answer:
The standard enthalpy of formation is the energy that would be involved if one mole of the substance were to be formed from its elements that were at standard conditions of temperature and pressure which are 25 degrees C and one atm pressure.
Step-by-step explanation:
The standard form of the given expression 2 × 2 × 2 × 2 × 2 is 2⁵.
The expression is given as follows:
2 × 2 × 2 × 2 × 2
When simplifying repeated multiplication of the same number, we use exponents as a concise representation.
The exponent denotes how many times the base is multiplied by itself. In this case, 2 is multiplied five times (2 × 2 × 2 × 2 × 2).
So, it is equal to 2⁵.
In this form, the base (2) is raised to the power of the number of times it is multiplied (5).
Thus, the standard form of 2 × 2 × 2 × 2 × 2 is 2⁵.
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Please hurry! a^2+b^2=10 and ab=2. Find (a-b)^2
Answer:
(a - b)² = 6
Step-by-step explanation:
The expansion of (a - b)² using FOIL is
(a - b)² = a² + b² - 2ab ← substitute given values
= 10 - 2(2)
= 10 - 4
= 6