Answer:
the domain is {7,-4,1,4,}
the range is {1,-5,2,-7}
Step-by-step explanation:
A retailer needs to purchase 11 printers. The first printer costs $58, and each additional printer costs 5% less than the price of the previous printer, up to 15 printers. What is the total cost of 11 printers?
$381.99
$500.19
$606.10
$609.00
Answer:
$500.19 is the answer
Step-by-step explanation:
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The total cost of 11 printers is $500.19.
Given that,
A retailer needs to purchase 11 printers.
The first printer costs $58, and each additional printer costs 5% less than the price of the previous printer, up to 15 printers.
We have to determine,
What is the total cost of 11 printers?
According to the question,
The first printer costs $58.
Each additional printer costs 5% less than the price of the previous printer, up to 15 printers.
The cost of a second printer is,
= 0.95 × 58 = $55.1
The cost of a third printer is,
= 0.95 × 55.1 = $52.345
The cost of a fourth printer is,
= 0.95 × 52.345 = $49.727
The cost of a fifth printer is,
= 0.95 × 49.727 = $47.241
The cost of a sixth printer is,
= 0.95 × 47.241 = $44.879
The cost of a seventh printer is,
= 0.95 × 44.879 = $42.635
The cost of an eight printer is,
= 0.95 × 42.635 = $40.50
The cost of a nineth printer is,
= 0.95 × 40.50 = $38.478
The cost of tenth printer is,
= 0.95 × 38.478 = $36.554
The cost of the eleventh printer is,
= 0.95 × 36.554 = $34.726
Therefore,
The total cost of 11 printers is,
= $58 + $55.1 + $52.345 + $49.727 + $47.241 + $44.879 + $42.635 + $40.50 + $38.478 + $36.554 + $34.726 = $500.19.
Hence, The total cost of 11 printers is $500.19.
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find the discriminant of -2x^2+8=x^2-28
show work please
Answer:
432
Step-by-step explanation:
Use the values of A, B, C to find the discriminant
A bus traveling at a constant rate of 50 miles per hour. At this rate, how far will the bus travel 3 1/4 hours?
First, let's do the easy part! Multiplying 50 by 3 will give us how far the bus would travel in 3 hours. 50 x 3 = 150.
Now let's do the quarter. 50 / 4 = 12.5. Simply add these two together now!
The bus will travel 162.5 miles!
Hope this helps :)
Evaluate the expression 5xy+ -2xy+y^2 when x=4 and y=-5
Answer:
-35
Step-by-step explanation:
5(4)(-5) + -2(4)(-5) + (-5)²
= -100 + 40 + 25
= -35
Answer: -35
Step-by-step explanation:
5(4)(-5)+(-2)(4)(-5)+(-5)^2
-100+40+25
-35
Solve 3 - x= -9.
O A. x= 6
O B. x= 12
O c. x= -6
O D. x=-12
Answer:
x=12
Step-by-step explanation:
you need the x alone so you substract 3 from both sides.
Then you have, -x= -12
You need the x positive so you change the sign for it but as it is an equation you need to do the same thing on the other side, making both sides positive.
x=12
the line passes through the point (4,7) and has a slope that is reciprocal of the slope of the line y=1/3x+2
point slope form and slope intercept form pls
first you have to change 1/3 to -3
y=-3x+2
then you have to replace 2 with 'b' because you don't know the y intercept yet
y=-3x+b
then you substitute the point (4,7) into the equation
7= -3(4) + b
7= -12 + b
19 = b
y = -3x + 19 is the equation in slope intercept form
for point slope form:
-3x is still the slope and you replace x and y with the point 4,7
y- 7= -3 (x-4)
The heights of NFL football players are approximately normally distributed with a mean of 71.5 inches and a standard deviation of 2.3 inches. The middle 75% of all NFL players have heights between
(A) 68.9 inches to 76.1 inches
(B) 69.2 inches to 73.8 inches
(C) 68.9 inches to 74.1 inches
(D) 66.9 inches to 76.1 inches
(E) None of the above give an accurate interval
Answer:
I would say B
Step-by-step explanation:
I'm sorry, I don't have an explanation
The middle 75% of all NFL players have heights between in (A) 68.9 inches to 76.1 inches.
What is Standard score?It is the representation of a data value in terms of distance from standard deviation from the mean. It is also called z-score.
It measures how many standard deviations the measure is from the mean. After finding the z-score, we have to look at the z-score table and then the p-value associated with this z-score, which is the percentile of X.
Given that Mean = μ = 64.4 inches
Standard Deviation = σ = 2.3 inches
We have to find the standard score for players height;
So, Let x = 75% = 0.75
Therefore the formula for z-score is:
x - mean / S.D
0.75 = x - 71.5/2.3
x = 76.10
Rounding off to nearest hundredth
z-score = 76.1
Hence, The middle 75% of all NFL players have heights between in
(A) 68.9 inches to 76.1 inches.
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a Find the total surface area of a cuboid with dimensions 4cm × 3cm × 2cm.
B)If the length of the cube, 4cm, is doubled, what is the new surface area of the cuboid?
Answer:
24 millimeters B) Area of one side= 4*4
=16
Total number of faces= 6
Then total area= area of one side* number of sides
=16*6
=96 square cm
Step-by-step explanation:
I need to know the area of this triangle and I would like to have an explanation because I dont know how to do it I know the formula just not how to get the height
Answer:
18 square units
Step-by-step explanation:
When one side is vertical or horizontal, it is convenient to find the height from the opposite vertex to that side. It is generally an integer number of grid squares.
Here, the height is 4 -(-2) = 6. The base length is 1 -(-5) = 6. That means the area is ...
A = 1/2bh
A = 1/2(6)(6) = 18 . . . . square units
_____
Alternate solution
If you want to go at this the hard way, you can find the length of LK and the distance of J to that line.
The length of LK is ...
d = √((x2 -x1)^2 +(y2 -y1)^2) = √((4 -(-2))^2 +(3 -(-5))^2) = √(36 +64) = 10
The distance to line LK can be found by writing the equation of the line LK in general form:
4x -3y -7 = 0
Then the distance formula for point (x, y) is ...
d = |4x -3y -7|/√(4^2 +3^2)
d = |4(-2) -3(1) -7|/5 = |-8 -3 -7|/5 = 3.6
Using the area formula with these dimensions gives ...
A = 1/2bh = 1/2(10)(3.6) = 18 . . . . square units
Answer:
18 square units
Step-by-step explanation:
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A box is filled with five green card six green card and three blue cars. A card is chosen at random from the box. What is the Probability that it is a green or blue card
Answer:
so there is 14 cards in total so out of those 14 14 cards are either blue or green so 100%
Hope This Helps!!!
(a²-4) (9-b²) +24ab algebraic factorization
Answer: -a2b2 + 9a2 + 24ab + 4b2 - 36
Step-by-step explanation:
A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
AB = BA is the commutative property of multiplication.
- AB + AB equals zero and is therefore eliminated from the expression.
Pharaphrase it if used.
how many degrees is 37 degrees warmer than -13
how many is 38 degrees warmer than -20
Answer:
98.6° Fahrenheit ( i did it in celsius sorry if i got it wrong)
Step-by-step explanation:
 A wall in Marcus's bedroom is 813 feet high and 1615 feet long. If he paints 13 of the wall blue, how many square feet will be blue?
Answer:
17,068,935 square feet
Step-by-step explanation:
square feet 1 wall = 813*1615 = 1312995
square feet 13 walls = 1312995*13 = 17068935 squre feet
Help I need the answers ASAP
Answer:
7296 / 24 = 304
9216 / 18 = 512
an expression that is equivalent to 10x - 8 +0.5(2x - 3)?
-
Answer:
......................
2.5 kg rice at $1.90 per kg and 1.5 kg cornmeal at $2.92 per kg
Answer: 2.5kg rice costs $4.75 and 1.5kg cornmeal costs $4.38
Rice:
1kg costs $1.90
2.5kg will cost 1.90 * 2.5
--> $4.75
Cornmeal:
1kg costs $2.92
1.5kg costs 2.92*1.5
--> $4.38
Find the digits in the tens place, in the hundredths place, and in the thousandths place for the following number 748.6291
Answer:
8 for tens, 9 for hundredths and thousandths is 1
Step-by-step explanation:
you can find the number by looking at the place of the numbers if it is tens look at the tens place which is the number eight as tens are 2 digit numbers
Select all that apply.
Zack is taking a test in which he answers questions at a rate of question per minute. If Q represents questions and
M represents minutes, which of the following equations describe this rate relationship?
M= 20 x Q
Q = 2 x M
M=1/2 x Q
Q=1/2 x M
The equation Q = 2 x M represents the relationship between question and time.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
Zack takes a test, in which he answers at rate of 2 question per minute.
Also, Q represents questions
And M represents minutes.
According to given condition,
In 1 minute, Zack answers 2 question,
In M minutes, Zack answers 2 x M question,
Total questions presented by Q,
Q = 2 x M.
The required relationship for M and Q is Q = 2 x M.
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Evaluate. 5.8 – 3.63 = ________
Integrate:Cos 7x/(1+sin**2(7x))
Answer:
7x/1+7sin(2)x
Step-by-step explanation:
What percent of 80 is 60
Answer:
80% of 75 is 60
Step-by-step explanation:
0.80x=60
x=60/0.80
x=75
what the area of a triangle whose base is 23 inches and whose height is 28. write your answer in decimal
Answer:
322
Step-by-step explanation:
Triangle area = base*height)2Here, area = 23*28/2=322
Answer:
322 [tex]in^{2}[/tex]
Step-by-step explanation:
Hope this helped!
On the 1st January 2014 Carol invested some money in a bank account.
The account pays 2.5% compound interest per year.
On 1st January 2015 Carol withdrew £1000 from the account.
On 1st January 2016 she had £23517.60 in the account.
Work out how much Carol originally invested in the account.
Answer:
didn't know how to workout iam only 3rd standard
Answer:
Step-by-step explanation:
bubble gum
A nationwide survey claimed that at least 65% of parents with young children condone spanking their child as a regular form of punishment. In a random sample of 100 parents with young children, how many would need to say that they condone spanking as a form of punishment in order to refute the claim at α = 0.5?
Answer:
here p=0.65 and n=100 hence standard error =(p*(1-.
Step-by-step explanation:
What is the percent of decrease from 80 to 68?
Answer:
-15%.
Step-by-step explanation:
Subtract 68 by 80 to get -12.
Divide -12 by the absolute value of 80 to get -0.15.
Multiply 100 to -0.15 to get -15.
Line f is parallel to line g.which statements about line f and g is true
Answer:
Step-by-step explanation:
They have different y intercepts.
They have the same slope.
Here are 2 examples
y = 3x + 5
y = 3x + 19
The slopes are both three. The y intercepts are 5 for the top equation and 19 for the bottom equation.
They are both lines. That means their domain is -infinity <x < + infinity
Their range is - infinity <y < + infinity.
We are excluding examples like x = 3 and x = 5 and y = 1 and y = 3.
It is true that they both are parallel in both cases, but the discussion for each pair is a little different.
Is the relationship between x and y proportional? Explain.
x y
5 25
6 30
7 35
8 40
Answer:
yes
Step-by-step explanation:
because
5/25=1/5
6/30=1/5
7/35=1/5
8/40=1/5
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-2 2/3 divided by 1 5/6 + 2
NO MIXED NUMBERS
Answer:
14/15
Step-by-step explanation:
Answer:
6/11
Step-by-step explanation:
-2 2/3 divided by 1 5/6 = -16/11 and when you add two to that you get 6/11.
If <11 = <8, then which lines are parallel?
Answer:
lines c and p
Step-by-step explanation:
P(x)=x-3
g(x) = 2x-5
Find the following.
(p °q) (5)= and (q °p) (5)=
Part 1) Computing (p °q) (5)
[tex]p(x) = x-3\\\\p(q(x)) = q(x)-3\\\\(p \circ q)(x) = 2x-5-3\\\\(p \circ q)(x) = 2x-8\\\\(p \circ q)(5) = 2(5)-8\\\\(p \circ q)(5) = 2\\\\[/tex]
Answer: 2===========================================================
Part 2) Computing (q °p) (5)
[tex]q(x) = 2x-5\\\\q(p(x)) = 2(p(x))-5\\\\q(p(x)) = 2(x-3)-5\\\\(q \circ p)(x) = 2x-6-5\\\\(q \circ p)(x) = 2x-11\\\\(q \circ p)(5) = 2(5)-11\\\\(q \circ p)(5) = -1\\\\[/tex]
Answer: -1