Work out the value of 8^2+4^3, 5^3-7^2
Answers
Answer:
302
Step-by-step explanation:
Related Questions
Evaluate for f(-2)
f(x) = 3/2x - 4
Answers
Answer:
f(-2) = -7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify given function.
[tex]\displaystyle f(x) = \frac{3}{2}x - 4[/tex]
Step 2: Find f(-2)
[Function] Substitute in x:[tex]\displaystyle f(-2) = \frac{3}{2}(-2) - 4[/tex]Multiply:
[tex]\displaystyle f(-2) = -3 - 4[/tex]Subtract:
[tex]\displaystyle f(-2) = \boxed{ -7 }[/tex]
∴ the function when x = -2 is equal to -7.
---
Learn more about functions: https://brainly.com/question/27698504
Learn more about Algebra I: https://brainly.com/question/15995023
---
Topic: Algebra I
Damian created a table to record how many flavors of Candy Whizz candies he has in his jar.
Flavor of Candy Frequency
Chocolate
51
Fudge
40
Orange
14
Vanilla
20
Damian randomly pulls a piece of candy from the jar and then puts it back in the jar. If he does this 50 times, how many times is a vanilla-flavored candy expected to be pulled
from the jar?
Options:
04
16
20
08
Answers
The number of times Damian would pick a vanilla-flavored candy from the jar is 8 times.
How many times would Damian pick a vanilla-flavored candy?Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The number of times Damian would pick a vanilla-flavored candy = number of vanilla flavored candy / total number of candies
20 / 125 = 0.16
0.16 x 50 = 8 times
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ1
Seattle’s factory is the company’s newest. It was constructed with sustainable building techniques and materials, so its cost structure has been affected in several ways. The Seattle plant uses a mix of solar power (not very reliable with so many clouds), thermal power, and wind. It has an array of batteries, so at the beginning of each production day, there is “free” stored energy that can produce up to 8,000 units. Of course, energy is just one factor of the cost of production, but it is significant.
The cost function for the Seattle factory is given by the following piecewise function. That is, C(x)is the cost function, where x is the number of units produced. The plant’s maximum capacity is 42,000 units per day.
[tex]C(x)=\left \{ {{0.35 if x \leq 8,000} \atop {0.75 if 8,000\ \textless \ x\leq 20,000}} \right \atop0.83-(\frac{x}{200,000} ) if 20,000\ \textless \ x\leq 42,000[/tex]
A) Sketch a graph to model Seattle’s cost structure over the domain [0, 42000]. Be sure to label the axes and any endpoints where the graph breaks.
B) Describe the function over each part of its domain. State whether it is constant, increasing, or decreasing, and state the slope over each part.
Answers
Answer:
Natural Capitalism as an idea and thesis for a book emerged in 1994, the year after the
publication of The Ecology of Commerce. After meeting with and speaking to different
business, government, and academic institutions in the aftermath of the book's
publication, it became clear to Hawken that industry and government needed an overall
biological and social framework within which the transformation of commerce could be
accomplished and practiced. To that end, articles and papers were written that became the
basis of a book about natural capitalism. A key element of this theory was the idea that
the economy was shifting from an emphasis on human productivity to a radical increase
in resource productivity. This shift would provide more meaningful family-wage jobs, a
better worldwide standard of living to those in need, and a dramatic reduction of
humankind's impact upon the environment. So while the context for Natural Capitalism
existed in a theoretical framework, the exposition did not.
Contemporaneously, Amory and Hunter Lovins were coming to the same conclusion: that
a shared framework was needed that could harness the talent of business to solve the
world's deepest environmental and social problems. Both were writing Factor Four:
Doubling Wealth, Halving Resource Use for publication in Germany in 1995. The senior
author of Factor Four, Ernst von Weizsäcker, among Europe's top innovators in
environmental policy, had teamed up with the Lovinses to pool the experience of their
respective nonprofit research centers—Wuppertal Institute in Germany and Rocky
Mountain Institute (RMI) in Colorado. The three authors had assembled fifty case studies
of at least quadrupled resource productivity to detail how, across whole economies,
people could live twice as well but use half as much material and energy. Factor Four
showed that such striking gains in resource efficiency could be profitable, and that
obstacles to their implementation could be hurdled by combining innovations in business
practice and in public policy.
Both Factor Four and The Ecology of Commerce urged the private sector to move to the
vanguard of environmental solutions. Factor Four described a creative policy framework
that could foster fair and open competition in achieving that success. The Ecology of
Commerce suggested techniques that when combined with business's unique strengths
could enable it to meet this challenge successfully.
Hunter Lovins sent a draft of Factor Four to Paul Hawken in early 1995. He saw that it
was the exposition that natural capitalism needed if it were to make its theoretical claims
credible and demonstrable. The ideas not only meshed, they were absolutely
complementary. We agreed to work together toward one book, under the title of Natural
Capitalism, that would contain both theory and practice. After the work began, we
discovered it wasn't that simple. Factor Four was anecdotal, Europe-oriented (by 1997 it
had also been published in England after being a German bestseller for nearly two years),
and written more for policy and environmental activists than for business practitioners. It
needed not adaptation but complete rewriting. Further, the examples offered concentrated
mainly on efficiency and did not take fully into account the need for the restoration of
natural capital nor for several other important elements of natural capitalism that go far
A circular patio has a diameter of 2 yards. What is the area of the patio? Use
3.14 for it
O A. 3.14 yd
B. 12.56 yd?
O c. 6.28 yd2
D. 4.14 yd?
Answers
An 8th Grader is paid for the chores they do around the house. (Although they shouldn't be paid... They don't pay rent and eat for free. That is payment enough!)
The table shows the frequency and cumulative frequency of their undeserved income. Fill in the missing blanks.
Months Income Cumulative
1 to 3 $100 .............$-----
4 to 6 $------ ------$300
7 to 9 $ ------------ $400
10 to 12 $300 ............$-----
Answers
Answer
100 to 300
200 to 300
320 to 400
250 to 300
I hope this helps
How do I get the answer
Answers
One side of triangle is given equilateral triangle which means all the angles of the triangle is 60°
so we have angles of bigger triangle:-
60° 60+35= 95° x( to find )Use angle sum property( sum of all interior angles is 180°)
[tex]x + 60 + 95 = 180 \\ x = 180 - 60 - 95 \\ x = 120 - 95 \\ x = 25 \degree[/tex]
If you roll a die and get a 5 and then roll the die again and get a 3, are those independent events?
Answers
If 10^2y = 25, then 10^-y equals:
(a) -1/5
(b) 1/625
(c) 1/50
(d) 1/25
(e) 1/5
Answers
[tex]10 ^{2y} = 25[/tex]
to find:[tex] {10}^{y} = .......[/tex]
solution:[tex]10 ^{2y} = 25[/tex]
[tex] (10y {)}^{2} = {5}^{2} [/tex]
[tex]10y = 5[/tex]
[tex] \frac{1}{ {10}^{y} } = \frac{1}{5} [/tex]
[tex] {10}^{ - y} = \frac{1}{5} [/tex]
therefore, the correct answer is option E.
the correct option is option e.
hope this helps you
have a great day
please give me brainliest.
A school principal wants to buy some book cases for the school library. She can choose between two types of book case. Type A costs $10 and it requires 0.6 m2 of floor space and holds 1.2 m3 of books. The maximum floor space available is 7.2 m2 and the budget is $140 (but the school would prefer to spend less). What number and type of bookcases should the principal buy to get the largest possible storage space for books?
Answers
The principal should buy 8 of type A and 3 of type B to get the largest possible storage space for books
How to determine the number and type of book cases?Let x represent type A and y represent type B,
So, we have the following table:
x y Available
Floor space 0.6 0.8 7.2
Budget 10 20 140
Book hold 0.8 1.2
Using the above table, we have the following linear model
Objective function Min Z = 0.8x + 1.2y
Subject to
0.6x + 0.8y ≤ 7.2
10x + 20y ≤ 140
x, y > 0
Using a graph, the solution to the above system of inequalities is:
(x,y) = (8,3)
Hence, the principal should buy 8 of type A and 3 of type B to get the largest possible storage space for books
Read more about objective functions at:
https://brainly.com/question/16826001
#SPJ1
PLEASE HELP ME I NEED ANSWERS
Answers
What is the value of
x²
y¹
=
x = 8 and y = 2?
Answers
Answer:
×= 64
y= 2
Step-by-step explanation:
×= 8
y=2
=x²+ y¹
= 8²+2¹
= 64+2
Answer:
64 = x^2 | y^1 = 2
Step-by-step explanation:
x squared= 8 squared or 8*8 so it's 64. y squared to the other of one is equal to 2*1 which is 2.
Two boats leave the same marina. One heads north, and the other heads east. After some time, the northbound boat has traveled 16 miles. If the two boats are 20 miles apart, how far has the eastbound boat traveled?
Answers
Answer:
4 Miles
Step-by-step explanation:
Simple, if the boat heading North has traveled 16 miles then the boat heading East has only traveled 4 miles.
The image is the question
Answers
Answer:
6h^2 - 19h + 15
Find two numbers that their sum is -19 and their product is 90.
Hence, the numbers will be -9 and -10
6h^2 - 9h - 10h + 15
3h(2h - 3) -5(2h - 3)
(2h - 3)(3h - 5)
10% of the 200 athletes at a lacrosse tournament have yellow jerseys. How many athletes have yellow jerseys?
Answers
Answer:
20 athletes
Step-by-step explanation:
Or 200 x .10 = 20
Hint: When you read “10% OF 200” the OF
means multiply
Select the correct answer.
Which combination of shapes could be used to model the piano will give the best estimate of its volume?
OA 3 cones and a pentagonal prism
OB. 3 cylinders and a rectangular prism
Oc 3 cylinders and a pentagonal prism
OD
3 cones and a rectangular prism
Answers
The answer that would best tell the combination of shapes that could make a piano are: 3 cylinders and a rectangular prism
How to find the shape of a pianoThe shape of a piano can be gotten from the way that the piano is built. A piano is known to have a shape that is like a chord, it also has the parts that is built like a rectangular prism.
In order to get the volume of the object, the different shapes that it has would be calculated individually using their formula.
Read more on volume
https://brainly.com/question/1972490
#spj1
Answer:
Step-by-step explanation:
Maria and Bridgette both belong to the same public pool and attend swim classes with a coach. Maria pays $105 for her season pass and 6 swim classes. Bridgette pays $135 for her season pass and 9 swim classes. What is an equation for the cost of a season pass and swim classes as a function of the number of swim classes attended? Explain what each variable represents and identify the initial value and the rate of change. Show your work.
Answers
Answer:
T = 10s + 45Step-by-step explanation:
Since both Maria and Bridgette belong to the same public pool they pay same rate for season pass and each class.
Let the season pass be y and swim class cost be x.
Then according to given we have the following equations
y + 6x = 105y + 9x = 135Solve the system by elimination, subtract the equations
y + 9x - y - 6x = 135 - 1053x = 30x = 10Find y
y + 6*10 = 105y = 105 - 60y = 45The initial value is 45 and rate of change is 10.
The equation for the total cost would be
T = 10s + 45, where T - total cost, s - number of swim classesWhich graph represents the trigonometric function given below?
Answers
Answer:
The last graph is your answer.
Step-by-step explanation:
The midline of the function should be in between the highest and lowest y value.
Here's the midline should be at y=-1
Let find where our zeroes occur at
[tex]2 \cos(2x - \frac{\pi}{3} ) - 1 = 0[/tex]
[tex]2 \cos(2x - \frac{\pi}{3} ) = 1[/tex]
[tex] \cos(2x - \frac{\pi}{3} ) = \frac{1}{2} [/tex]
Take the inverse cosine of both sides
[tex]2x - \frac{\pi}{3} = \cos {}^{ - 1} ( \frac{1}{2} ) [/tex]
[tex]2x - \frac{\pi}{3} = \frac{\pi}{3} + 2\pi(n)[/tex]
Or
[tex]2x - \frac{\pi}{3} = \frac{5\pi}{3} + 2\pi(n)[/tex]
Solve for x. in both scenarios
[tex]x = \frac{\pi}{3} + \pi(n)[/tex]
[tex]x = \pi + \pi(n)[/tex]
So our zeroes occur at pi/3, and pi, and every pi units. So we should have a period of pi, and zeroes at pi/3, pi
The last graph is your answer.
Pls helppp!
9 years ago, when Miko celebrated her birthday with her family, the ratio of the age of Miko to Miko's sister was 5 : 7. This year, the ratio of the age of Miko to Miko's sister is 4 : 5. How old is Miko now?
Answers
Solution:
Step one: we need to solve this system:
{4x-9=5y
{5x-9=7y
{x=(5y+9)/4
{5•(5y+9)/4-9=7y
Step two: solve the second equation for y:
y=3
Step three: If y=3, and x=(5y+9)/4
X=6
Step four: considering Miko is now 4•x years old, answer will be 4•6=24
Gerda discovers that the lifetime of light bulbs is normally distributed with mean 1000 hours and standard deviation 100 hours. if gerda buys 50 bulbs, how many of them are expected to last less than 800 hours? give your answer correct to the nearest integer.
Answers
what’s the area and the perimeter and of the triangle?
Answers
Answer:
Area = 3.3998
Perimeter = 2.9
Step-by-step explanation:
A method for calculating the area of a triangle when you know the lengths of all three sides.
Let a,b,c be the lengths of the sides of a triangle. The area is given by:
Area = √ p ( p − a ) ( p − b ) ( p − c )
where p is half the perimeter, or
a + b + c / 2
p = 1.7 + 1.7 + 2.4 / 2 = 5.8 / 2 = 2.9
a = Area = 3.3998
Heron was one of the great mathematicians of antiquity and came up with this formula sometime in the first century BC, although it may have been known earlier. He also extended it to the area of quadrilaterals and higher-order polygons.
Approximate √17 to the nearest tenth. USE THE NUMBER LINE TO RECEIVE CREDIT.
Answers
Answer: 290
√17= 289
289 to the nearest 10th is 290
What is 12kg 48g in kg
Answers
Answer:
12.048 kg
Step-by-step explanation:
48 grams = .048 kg
12 kg + .048 kg = 12.048 kg
Give brainiest please!
please help, Im so close to failing my whole class.
"Enter the missing numbers in the boxes to complete the equivalent ratios"
time (min)
3
5
?
10
Distance (km)
?
60
72
?
Answers
I hope you pass your class, I wish you the best!
solve for x in this equation.
Answers
What’s the circumference?
Answers
Answer:
C=2πr=2·π·4≈25.13274
Step-by-step explanation:
Answer:
The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex]. We can then input the value and we get that [tex]C=2*\pi*4[/tex] and as we solve it more the final answer that we get is [tex]C=25.133[/tex].
Hope this helps! Let me know if you have any questions
math help questions
Answers
After 1 year, the initial investment increases by 7%, i.e. multiplied by 1.07. So after 1 year the investment has a value of $800 × 1.07 = $856.
After another year, that amount increases again by 7% to $856 × 1.07 = $915.92.
And so on. After t years, the investment would have a value of [tex]\$800 \times 1.07^t[/tex].
We want the find the number of years n such that
[tex]\$856 \times 1.07^n = \$1400[/tex]
Solve for n :
[tex]856 \times 1.07 ^n = 1400[/tex]
[tex]1.07^n = \dfrac74[/tex]
[tex]\log_{1.07}\left(1.07^n\right) = \log_{1.07}\left(\dfrac74\right)[/tex]
[tex]n \log_{1.07}(1.07) = \log_{1.07} \left(\dfrac74\right)[/tex]
[tex]n = \log_{1.07} \left(\dfrac74\right) = \dfrac{\ln\left(\frac74\right)}{\ln(1.04)} \approx \boxed{8.3}[/tex]
Answer:
25 years
Step-by-step explanation:
total = before × percent ( in decimal ) × time
1400 = 800 × 0.07 × t
1400 = 56 × t
1400 ÷ 56 = 25
t = 25
Hope this was helpful!
The spinner is divided into 8 equal-sized sections. enter the probability of the arrow landing on a section labeled 4 on the first spin
Answers
Answer: 1/8
Step-by-step explanation:
2 • 3^2-1=
A)17
C)11
B)16
D)33
Answers
Answer:
A) 17
Step-by-step explanation:
3x3=9x2=18-1=17
you start with parenthasis, then exponents, then mulitplication/division, and finally addition/subtraction
Answer:
17
Step-by-step explanation:
2 • 3² - 1
= (2 • 3²) - 1
= (2 • 9) - 1
= 18 - 1
= 17
Rember to use the PEMDAS order, where,
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
_____
Hope it helps ⚜
Which equation is represented by the graph below? on a coordinate plane, a curve starts at (0, 1) and then increases and approaches y = 7. y = e superscript x baseline 5 y = e superscript x baseline 4 y = l n x 4 y = l n x 5
Answers
The equation that is represented by the indicated graph is:
Y = ln X + 4 (Option C). See the definition of an equation below.
In mathematics, Equations are defined as mathematical statements or expressions where a string of factors that have been stated mathematically are equated to one another using the equals sign.
Hence the equation that represents the graphs is option C.
Learn more about Equations at:
https://brainly.com/question/2972832
#SPJ4
Answer:
y = ln x + 4
just got it right on edge
Write the product using exponents.
Answers
Answer:
3^4
Step-by-step explanation:
because I took the test
