Step-by-step explanation:
-(-4)²+7(-2)⁴-2(-3)³
=16+7(16)-2(-27)
=15+112+54
=181
The evaluation of the expression is 150.
What is an expression?In mathematics, expression is the combination of variables with the application of operations and prescribed rules. It might take the shape of an equation, some numbers, etc.
The given expression is:
-a² + 7b⁴ -2c³
Substituting, a= -4 b= -2 and c=-3
-a² + 7b⁴ -2c³
= -(-4)² + 7(-2)⁴ -2(-3)³
= -16 + 7 x 16 + 54
= 150
Therefore, the value of the expression is 150.
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Determine whether the graph represents a function . If it does represent a function , give its domain and range.
#18,20,24,30
PlEASE GUYS HELP ME OUT!!!!
Answer:
A function is a relationship that maps elements from a set (the domain) into elements from another set (the range)
Such that each element in the domain can be mapped into only one element from the range.
Let's see graphs 18, 20,24 and 30.
Remember that the axis that represents the domain is the horizontal one (usually represented with x), and the vertical axis represents the range (usually represented with y)
18) Here we can see that the point x = 1 his mapped into two different values of y.
we have the pair (1, 2) and the pair (1, -3)
And something similar happens for x = 2.
Then we can conclude that this is not a function.
20) Here we have a linear relationship.
Linear relationships are almost always functions, the only case when these are not functions is when the linear equation is something like x = a.
Linear equations can be written as:
y = a*x + b
So x can be any value, and thus y also can be any value.
Then the domain is the set of all real numbers, and the range is the set of all real numbers.
24) Here we have a quadratic function whose arms go down.
This is a function, now let's see the domain and range.
Quadratic functions are written as:
y = a*x^2 + b*x + c
There is no value of x can cause some problem in this equation, then this function works for all values of x, then the domain is the set of all real numbers.
Now, let's look at the graph.
We can see that the function goes up, reaches a maximum, and then goes down again.
Then the range will be the set of all the values smaller than the maximum we can see in the graph, this is:
y ∈ (-∞, 15]
or simply:
y ≤ 15.
30) Here again, we can see that for x = 0 there are two different values of y.
the same happens for x = -1, x = -2, and a lot of other values.
Then this is not a function, because it is mapping values of the domain into different values of the range.
Diana received an inheritance of $3500 and plans to place all the money in a savings account that pays 3% compounded quarterly. How much money will be in the account in 10 years ?
Answer:
$36,050
Step-by-step explanation:
If the original price Diana puts into the savings account is $3500 and the pays 3% increase, than how much will be in the account in 10 years?
3% can also be turned in 3 divided by 100, I will be using that in my explanation.
3 divided by 100 : 0.03
you then multiply 0.03 by 3500 and you will get 105.
3% of the $3,500 is $105
$3,500 plus $105 is $3,605
You then have to multiply that answer by 10(years)
$3,605 times 10 is $36,050
a company declared a dividend of $1.50 per share. john has 600 shares in the company. how much will she get?
Answer:
$900
Step-by-step explanation:
So if each individual share is $1.50 we can presume that we need to multiply both factors. 1 x 600 is 600 and .50 x 600 is 300. 600 + 300 = 900. John will get $900 in shares profit.
Please help
!!!!
Please helpppp
Answer:
it is a because the angle is 34 more degrees then it is spouse to
Step-by-step explanation:
i just know plz give heart and rate 5 and plz give brainlest
Subtract Write your answer in simplest form. 11/12 - 3/6
Answer:
5/12 cannot simplify more further
Step-by-step explanation:
11/12 - 6/12 = 5/12
Answer:
5/12
Step-by-step explanation:
hope this helps have a nice day
(a) The area of a rectangular garden is 7371 m².
If the width of the garden is 81 m, what is its length?
What is the Length of the garden:
Answer:
length = 91 m
Step-by-step explanation:
area = length * width
so,
7371 = length * 81
cancel out 81 by dividing on both sides
91 = length
Which equation represents the linear function that is shown on the graph below?
A. y = 1/2x + 4
B. y = 1/2x - 2
C. y = 4x - 2
D. y = - 2x + 4
F(x)= 3x+4
find inverse, domain, at range of the function and it's inverse.
Answer:
12
вот правильный ответ
Plz help! If you can’t answer all the questions it’s ok just answer at least one but all would be great! You will get a brainly!
Answer:
1. 1.5 2. 84000 4. 3.9
Step-by-step explanation:
Find the vertex of the graph of the quadratic function f(x)=7x2+14x+10
Answer:
plazzz get lost bro fast
A water faucet leaks 3/5 of a liter of water in 3/4 of an hour. Which TWO statements are correct for this situation
1. The faucet leaks 4/5 liter per hour.
2. The faucet leaks 5/4 liter per hour.
3. The faucet leaks 2/5 liter per 1/2 hour.
4. The faucet leaks 3/8 liter per 1/2 hour
5. The faucet leaks 3/10 liter per 1/2 hour.
Answer:
A & C
Step-by-step explanation:
Please just trust me
Answer:The faucet leaks 4/5 liter per hour.
The faucet leaks 2/5 liter per 1/2 hour.
Step-by-step explanation:
The table shows the results of a survey of 100 people selected at random
at an airport. Find the experimental probability that a person selected at
random is going to City C.
The experimetal probability that a person selected at random is going to city C is
Answer:
[tex]\frac{4}{25}[/tex]
Step-by-step explanation:
22/200 simpilfy is 4/25
The experimental probability that a person selected at random is going to city C is P ( C ) = 4/25 = 0.16
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the experimental probability that a person selected at random is going to city C is P ( C )
Now , the total number of people in the city = 100
The number of people going to city C = 16
So , P ( C ) = number of people going to city C / total number of people in the city
On simplifying , we get
P ( C ) = 16 / 100
P ( C ) = 4/25
P ( C ) = 0.16
Hence , the probability is 0.16
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Use distributive property for 3.2= 4/5(b - 5)
Myles doesn't want to spend more than $11,000 per month on gate keepers. He hires 12 gate keepers who work an
average of 70 hours per month. What should Myles pay for an hourly rate in order to stay within budget
Answer:
$13.09 for an hourly rate
Step-by-step explanation:
Find the perimeter of a square with side lengths of 3x + 1. Use the distributive property to write an expression.
1. Find the total surface area of the net below
Answer:
dfdg
Step-by-step explanation:
fd
Please tell me the answer to this. Very easy points if you ask me.
x + 8x = ?
x + 8x = 9x
(like 1 + 8 but with x's)
Polydactyl cats are cats with extra toes. A researcher believes that the proportion of the population of polydactyl cats in region A is greater than the proportion in region B. Let pB represent the population proportion of polydactyl cats in region A, and let pB represent the population proportion of polydactyl cats in region B. Which of the following are the appropriate hypotheses to test the researchers belief?
A. H0 : PA - PB = 0
Ha : PA is not equal to 0.
B. H0 : PA - PB = 0
Ha : PA - P > = 0
C. H0 : PA - PB = 0
Ha : PA - 0 < 0
D. H0 : P^a - P^b = 0
Ha : P^a - P^b is not equal to 0
E. H0 : P^a - P^b = 0
Ha : P^a - P^b > = 0
Answer:
B.
H0 : PA - PB = 0
Ha : PA - PB > = 0
Step-by-step explanation:
The Null hypothesis refers to the initial truth in which of there is no significant evidence provided by statistical analysis will remain ; else, the alternative hypothesis which is the opposite of the Null will be favored in place of the Null.
In the scenario above, the claim by the researcher, that "the proportion of the population of polydactyl cats in region A is greater than the proportion in region B." is the Alternative hypothesis ; Ha : PA - PB > = 0 while the Null will be of the notion that the proportion of polydactyl cats in region A and region B are the same.
What is the volume of the triangular prism to the nearest whole unit.
Answer: 720ft
Step-by-step explanation:
15 x 3=45
45 x 16= 720
Hope this helps
Michael is organizing a game of chance for his class. He asks each student to pick a ribbon from a bag and then put it back into the bag. The bag
has 12 yellow ribbons, 7 red ribbons, and 3 blue ribbons. If Jane picks a ribbon, what is the probability that the ribbon will be yellow and what is
the likelihood of this event?
OA. The probability is 1, and the event is certain.
OB. The probability is î and the event is likely.
OC. The probability is it and the event is unlikely.
OD The probability is it, and the event is neither likely nor unlikely.
Answer:
b
Step-by-step explanation:
Using the probability concept, it is found that the correct statement regarding the probability of picking a yellow ribbon is given by:
D The probability is of 0.5454 = 54.54%, and the event is neither likely nor unlikely.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, 12 out of 22 ribbons are yellow, hence:
p = 12/22 = 6/11 = 0.5454 = 54.54.
The probability is greater than 0.05 but less than 0.95, hence it is neither likely nor unlikely, which means that option D is correct.
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Amy runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes?
miles
Х
Answer:
10.5miles
Step-by-step explanation:
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A total of 560 tickets were sold
They were either adult or Student
tickets. The number of student tickets
Sold was 3 times the number of
tickets. How many adult
tickets sold 2
Answer:
I think it's 70
Step-by-step explanation:
i did 560/2 and got 280 and then divided 280 by 4 and got 70
Someone please help me with this and show work I don’t get it I’ll give brainliest
Answer: THAT IS RIGHT OK BYE MAN
Step-by-step explanation: OK BYE
Can a quadrilateral be both a rectangle and a rhombus
Answer:
no, a rectangle must have 4 right angles and opposite sides are congruent
a rhombus must not have right angles and all sides are congruent
Step-by-step explanation:
Answer:
no
Step-by-step explanation: no it cant since a rhombus has 4 equal sides while a rectangle has 2 sets of equal sides.
A person has 10 Rap songs, 12 R&B songs, 23 Alternative songs, 10 Pop songs, 17 Country songs, and 18 Hip Hop songs stored on an MP3 player (a total of 90 songs). If the person set the MP3 player to random shuffle, what are the probabilities of the first song being played being a Country song?
A) .4888
B) .3888
C) .2888
D) .1888
There are four primary strategies for determining the area of two-dimensional figures and shapes: a) counting square units, b) subdividing the shape into pieces, finding the areas of the pieces and adding the areas together, c) enclosing the shape in a rectangle, finding the area outside of the shape but inside the rectangle and subtracting, and d) using a formula. Explain each strategy. Use an example for each.
Answer:
Given below
Step-by-step explanation:
a) if we look at the picture then we can find by counting the square units. In each box there are 3.5 square units along the breadth. There are 3 square units along the length . Counting these gives (3*3.5= 10.5 ) 10.5 square units for each box. Adding the 10.5 +10.5+10.5+10.5 = 42 square units gives the area of the inner rectangle.
b) There are 4 boxes and the total area of the these boxes will be 4*10.5= 42 square units.
Area of 1 box = 3*3.5= 10.5
c) The area of the outer rectangle = 8*12= 96 square units.
The area between the two rectangles along the breadth = 3*7= 21 of one side.
The area between the two sides along the length = 6*1= 6 square units.
Subtracting 21+21+6+6= 54 from 96 gives 42 square units
d) Area= length *breadth
= 6* 7= 42 square units.
Hence by all four methods the total area remains the same.
Out of 4/10, 3/4, 2/5, and 1/3 which fraction is the biggest?
Answer:
3/4
Step-by-step explanation:
3/4 = .75
4/10 = .40
2/5 = .40
1/3 = .33
Answer:
3/4 is greater then 4/10 and 2/5 is greater then 1/3 and that's all I know
Step-by-step explanation:
Business Maths
1703
The following problems were in your worksheet on direct and inverse proportion. Reformulate the
relationships as algebraic expressions and remember to define the variables you use. You do not
have to solve the expressions.
5. The students in class usually drink a lot of water to help with their studies. I have found that
with five students in the class at least 30 litres of water is needed. How much water will be
needed when there are 30 students in the class?
Answer:
30/5=6
6*30=180
So 180 litres
✨6 Grade Math✨ Pls help
Answer:
37Step-by-step explanation:
89 - 4²×4 + 12 = 89 - 16×4 + 12 = 89 - 64 + 12 = 25 + 12 = 37Answer:
[tex]89 - 4 {}^{2} \times 4 + 12 = 89 \\ - 16 \times 4 + 12 \\ \\ = 89 - 64 + 12 \\ \\ = 25 + 12 \\ \\ = 37[/tex]
89-4^2×4+12=89-16×4+12
= 89-64+12
= 25+12
= 37