how do you work out what 8 cubed is ?
Step-by-step explanation:
so do you have building blocks cuz you use it and then after you do that you get the cue that has an eight on it and then you would keep on adding on and then that would be the answer
Answer:
512.
Step-by-step explanation:
8 cubed is the same as 8 to the third power.
We usually use other ways to represent certain number to the power to help make equations easier and write less so,
instead of saying: 2 to the second power; we say 2 squared.
Instead of saying 2 to the third power; we say 2 cubed.
The number 2 was used just as example, it could be any number.
so 8 cubed = 8 to the third power so,
8 cubed = [tex]8^{3}[/tex] = 8x8x8 = 512
Given the function f(x)=-x^2-5x+12f(x)=−x 2 −5x+12, determine the average rate of change of the function over the interval -5\le x \le 4−5≤x≤4.
Given:
The function is
[tex]f(x)=-x^2-5x+12[/tex]
To find:
The average rate of change of the function over the interval −5 ≤ x ≤ 4.
Solution:
The average rate of change of a function f(x) over the interval [a,b] is
[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]
Putting x=-5 in the given function, we get
[tex]f(-5)=-(-5)^2-5(-5)+12[/tex]
[tex]f(-5)=-25+25+12[/tex]
[tex]f(-5)=12[/tex]
Putting x=4 in the given function, we get
[tex]f(4)=-(4)^2-5(4)+12[/tex]
[tex]f(4)=-16-20+12[/tex]
[tex]f(4)=-24[/tex]
Now, the average rate of change of the function over the interval −5 ≤ x ≤ 4 is
[tex]m=\dfrac{f(4)-f(-5)}{4-(-5)}[/tex]
[tex]m=\dfrac{-24-12}{4+5}[/tex]
[tex]m=\dfrac{-36}{9}[/tex]
[tex]m=-4[/tex]
Therefore, the average rate of change of the function over the interval −5 ≤ x ≤ 4 is -4.
Question 4 (1 point)
The organizers of a concert are preparing for the arrival of 50,000 people in a field. Each person is alloted 5 square ft of space, so the
organizers rope off a circular area big enough to account for 5 square feet per person. Find the radius of this region, rounding to the nearest
foot.
Answer:
Radius of park r = 282.04 ft (Approx)
Step-by-step explanation:
Given:
Number of people = 50,000
Each person needs area = 5 ft²
Park's is in shape of circle
Find:
Radius of park r
Computation:
Total area required = 50,000 x 5
Total area required = 250,000 ft²
Area of circular park = Total area required
πr² = 250,000
(22/7)r² = 250,000
r² = 79545.4545
r = 282.04 ft
Radius of park r = 282.04 ft (Approx)
HELP ASAP 40 POINTS
What is the equation for the nth term of the sequence
And what is the 52nd term of the sequence. -8,-12,-16
Given:
The sequence is -8, -12, -16.
To find:
The nth and 52th term of the given sequence.
Solution:
We have,
-8, -12, -16
It is an AP because the difference between consecutive terms are equal. Here, first term is -8 and the common difference is
[tex]r=a_2-a_1[/tex]
[tex]r=-12-(-8)[/tex]
[tex]r=-12+8[/tex]
[tex]r=-4[/tex]
The nth term of an AP is
[tex]a_n=a+(n-1)d[/tex]
Where, a is first term and d is common difference.
Putting a=-8 and d=-4, we get
[tex]a_n=-8+(n-1)(-4)[/tex]
[tex]a_n=-8-4n+4[/tex]
[tex]a_n=-4-4n[/tex]
Putting n=52, we get
[tex]a_{52}=-4-4(52)[/tex]
[tex]a_{52}=-4-208[/tex]
[tex]a_{52}=-212[/tex]
Therefore, the equation for the nth term of the given sequence is [tex]a_n=-4-4n[/tex] and the 52nd term of the sequence is -212.
A sequence is formed by adding 1 to each square number.
Here are the first five terms of the sequence.
2 5 10 17 26
Find the 10th term of the sequence.
Answer:
101
Step-by-step explanation:
the tenth term of the sequence would be 10x10 (10 squared), which equals 100. add 1 to that you get 101.
Answer:
101
Step-by-step explanation:
10 X 10 + 1 = 101
nth term = n^2 + 1
Which fraction will result in a repeating decimal?
3/4
1/3
1/4
3/8
Answer:
1/3
Step-by-step explanation:
is the answer because is a decimal
i will give brainliest
Answer:
230°
Step-by-step explanation:
Answer: 40
Step-by-step explanation:
Corresponding Angles Theorem
A cell phone retailer used a mark-up rate of 60% on a cellphone case that originally cost $5. To find the new price of the case in ONE STEP, my equation Part = %*whole will be...
Answer:
$8
Step-by-step explanation:
5 increase 60% =
5 × (1 + 60%) = 5 × (1 + 0.6) = 8
a) Which of the four curves, A, B, C or D,
is a sketch of the curve with equation y = 2* ?
A
b) Give the coordinates of any points of
intersection of the curve of y = 2with
the axes.
If there are no points of intersection
write, 'no points'.
(1)
Answer:
Step-by-step explanation:
Which inequality is true when x = 0.8?
Answer: C
Step-by-step explanation:
Rate A puppy not mine cant find a pic of mine but mine is a micro mini golden doodle
Answer:
10/10
Step-by-step explanation:
pretty good looking pup good snout good fur nice colors overall good pup
Please help ASAP
Paula used 134 cups of flour for a recipe. How many cups y of flour did Paula have if she had x cups before making the recipe? Write an equation to represent the situation.
Answer:
y = x - 1 3/4*
Step-by-step explanation:
If 1 3/4 is used, then subtracting that from the previous amount will give you the amount that Paula has currently
* My answer is only correct if you meant 1 3/4, not 134. If you meant 134, then the answer would be y = x - 134
Factor as the product of two binomials.
x^2 – 100
Answer:
(x+10)(x-10)
Step-by-step explanation:
Ryan and Chaise are brothers. Ryan's age, y, us twice Chaise's age, x. Ryan is also 11 years older than Chaise. What is Ryan's age?
Ryan is 22 years old.
What is the system of equations?
A system of equations is a collection of one or more equations that are considered together. The system can consist of linear or nonlinear equations and may have one or more variables. The solution to a system of equations is the set of values that satisfy all of the equations in the system simultaneously.
Let's use the given information to set up a system of equations to solve for Ryan's age.
We know that Ryan's age, y, is twice Chaise's age, x, so we can write:
y = 2x (Equation 1)
We also know that Ryan is 11 years older than Chaise, so we can write:
y = x + 11 (Equation 2)
Now we can substitute Equation 1 into Equation 2:
2x = x + 11
Simplifying, we get:
x = 11
So Chaise is 11 years old.
To find Ryan's age, we can use either Equation 1 or Equation 2. Let's use Equation 2:
y = x + 11
y = 11 + 11
y = 22
Therefore, Ryan is 22 years old.
To learn more about the system of equations visit:
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This is for today can someone help me!!
Answer:
It's the third one!!
Step-by-step explanation:
grs
it's a ven dyagram question pls help
Answer:
a) A U B = {21,23,24,25,27,29,30,31 }
b) A n C = {24,30}
Step-by-step explanation:
A {21,24,27,30}
B {21,23,25,27,29,31}
C {20,22,24,26,28,30,32}
a) A U B = {21,23,24,25,27,29,30,31 }
b) A n C = {24,30}
Find the value of x.
3x + 1
12.5
15
The value of x is 3.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
As, we know that The median (also called a midline or midsegment) is a line segment half-way between the two bases.
median = (a+ b ) / 2
So, 12.5 = (3x+1 + 15) / 2
12.5 = 3x + 16 / 2
25 = 3x + 16
3x = 9
x= 3
Hence, the value of x is 3.
Learn more about Equation here:
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I will give brainliest!!
Find the surface area for the given prism.
Height: 8 Inches
Length: 10 Inches
Width: 14 Inches
564 in ^2
664 in ^2
1,120 in ^2
1,080 in ^2
Find the lateral area for the given prism.
Height: 26 CM
Width: 6 CM
Length: 14 CM
1,092 cm ^2
998 cm ^2
1,272 cm ^2
870 cm ^2
Answer:
SA: 664 in²
LA: it’s supposed to be 1040cm???
Step-by-step explanation:
SA: find the area of all sides of the prism first (I suppose it’s rectangular?)
80+80+112+112+140+140 = 664
LA: the lateral area formula is (perimeter of base)*height...
perimeter of base = (6+6+14+14) = 40
40 * 26 = 1040
I may be wrong on the second one since I don’t know what the prism’s shape is... Hope it helps though ;)
Answer:
1,092
Step-by-step explanation:
Tiffany earns an annual income of $ 55 , 000 . After she pays taxes, her take-home pay is $ 41 , 800 . Tiffany gives 5 % of her take-home pay to a stock broker to invest into the stock market. At the end of the year, her investment earned 8 % . How much money did Tiffany's investment earn in the stock market?
Answer:
1678.95
Step-by-step explanation:
What is the exponent form? 6 x 6 x 6
A. 6 cubed
B. 6 to the power of 2
C. 6 squared
D. 6 x 3
Answer:
C.6 squared
Step-by-step explanation:
An airplane ticket to new york is priced at $1232.10 inclusive of 11% sales tax what amount would the airline ticket cost exclusive of sales tax
Answer:
net is before tax
gross is after tax
X/5+ 7 = y Solve for x
pls hurry
Answer:
x=5y-35
Step-by-step explanation:
simplify the fraction 37/8
If triangle MAS Striangle TAR, which of the statements could be false?
[tex]\color{plum}\tt(B) \: segment \: \: MA \: ≅ \: segment \: SA[/tex]
Steps to derive the correct option :Given :△MAS ≅ △TARWhich means, the following are the corresponding(equal/similar) parts :
segment MA ≅ segment TAsegment AS ≅ segment SRsegment MS ≅ segment TR∠AMS ≅∠ARS∠ASM ≅∠ART∠MAS ≅∠TARThus, the statement (B) is false because there is no evidence to prove that segment MA ≅ segment SA.
Therefore, the correct option is - (B) segment MA ≅ segment SA
Find BC please help!
Answer:
BC=23
Step-by-step explanation:
Use sine rule:
x/sinX=y/sinY
BC/sinA=AB/sinC
BC/sin61=9/sin20
BC=26.3142396015*sin61
BC=23.0149525338
Riley has 3 hours to play outside to play before diner. She spends 3/5 of that time playing outside how long does riley play outside
Answer:1.8 hours
Step-by-step explanation:
just devide and stuff
Please help me with this for brainliest.....
Answer:
a=542
Step-by-step explanation:
you welcome have a good day
Answer:
the answer will be a=524
Step-by-step explanation:
Jose spent $19 on a hair cut and left a $20 tip. What was the amount he left for the tip?
Answer:
$39
Step-by-step explanation:
19+20=39
because the $20 is additional while $19 is the original, therefore you add the two digits together to get $39
Answer:
$380.00
Step-by-step explanation:
20% of $19.00
19.00 x 20
= $380.00
giving brainliest and thanks help plz asap
The answer is C. you're welcome.
What is the value of the expression of 1/2 divided by 6
Answer:
0.083
Step-by-step explanation:
Answer:
3 is it
Step-by-step explanation:
