Answer:
Domain: [0, 4]
Range: [0, 100000]
Step-by-step explanation:
Given the function:
[tex]f(x)=2500c[/tex]
Where [tex]c[/tex] is the number of container that can be carried by the freight elevator and
[tex]f(x)[/tex] is the total cargo weight.
Domain of any function is defined as the values that can be given as input and
Range of any function is defined as the values that can be of output.
Weight of each container = 2500 pound
Maximum weight that can be carried by the freight elevator = 100,000 pounds
Here, input is the number of containers.
Minimum of which can be 0 and maximum can be [tex]\frac{100000}{2500}=4[/tex]
So, domain is [0, 4] i.e. any value from {0, 1, 2, 3, 4}
Range is [0, 100000] i.e. any value between 0 and 100000 including both the values.
Please help Find n(A) for the set, and then circle in one of the bubbles
A = {xAx % N and 18 K x K 24} (I'll give brain reward)
Step-by-step explanation:
B.n(A)=7.
good luck to you
Scott wanted to bye a sofa,which originally cost $500. Store A was selling it for 20% off 6.5% sales tax. Store B was selling it for 30% off and no sales tax, but Scott was required to an $85 shipping fee. Which option would allow Scott to purchase the sofa for the LEAST amount of money?
A.Store A at $400
B.Store A at $426
C.Store B at $350
D.Store B at $435
Answer:
B. Store A at 426
Step-by-step explanation:
If you want step by step just comment
Answer:
435
Step-by-step explanation:
Cost of sofa =$500
For store A
Discount =20% off
The amount of the discount is
=20/100*500
=0.2*500
=$100
6.5% sales tax
The amount of tax is
=6.5/100*500
=0.065*500
=$32.5
Total cost of the sofa
=500-100+32.5
=400+32.5
=$432.5
For store B
Discount =30% off
The amount of the discount is
=30/100*500
=0.3*500
=$150
Shipping fee $85
Total cost of sofa
=500-150+85
=350+85
=$435
Solve the equation 9x - 17 = -17 + 9x
Answer:
An infinite number of solutions.
Step-by-step explanation:
9x - 17 = -17 + 9x
0 = 0
Since the output is 0 = 0, there is an infinite number of solutions.
Answer:
All real numbers are solutions
What are the first five terms of the sequence defined by the given function?
f(1)=-6
f(n)=f(n-1)+2, for n=2,3,4
A. -6, -8, -10, -12, -14
B. 2, 8, 14, 20, 26
C. 2, -4, -10, -16, -22
D. -6, -4, -2, 0, 2
geniuses/aces/trusted helpers help me plz!
What is the slope of the line represented by the equation 2x+3y= –12 ?
Answer:
[tex]\boxed{m} = - \frac{2}{3} [/tex]
Step-by-step explanation:
[tex]in \: other \: to \: get \: the \: slope \: of : \\ 2x+3y= –12 \\ the \: equation \: needs \: to \: be \: in \: the \: form : \\ y = mx + c \\ \\ where \: m \: is \: the \: slope \\ hence : \\ 2x + 3y = - 12 \\ 3y = - 2x - 12 \\ y = - \frac{ 2}{3} x - 4 \\ therefore \: the \: slope \: \boxed{m} = - \frac{2}{3} [/tex]
♨Rage♨
If one measurement of a golden rectangle is 5.4 inches, what is the other measurement?
a.
8.737
b.
7.018
c.
1.618
d.
3.782
Answer:
answer is a
Step-by-step explanation:
the golden ratio is 1.618
5.48 ~ 1.618 = 8.737
1. .345 + 4.009
A. 435.4
B. 7.459
C. 4.354
D. 43.54
2. 65.3 + 345.88
A. 998.88
B. 41.118
C. 4ll.18
D. 99.788
Answer: C and C
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-9, -2) and (-1,0)
Answer:
8.2 units
Step-by-step explanation:
The formula for this type of problem is [ d = √(x2-x1)²+(y2-y1)² ]
d = √(-1-(-9))²+(0-)-2))²
d = √8²+2²
d = √64+4
d = √68
d ≈ 8.2
Best of Luck!
A rancher uses 280 feet of fencing to build a rectangle corral for a horse. The length of the corral is 2.5 times the width what is the area of the corral.
Can someone please help me ASAP!
Answer:
4,000
Step-by-step explanation:
The area of corral build for a horse is equal to 4000 feet².
What is the area of a rectangle ?
Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.
It is given that a rancher uses 280 feet of fencing to build a rectangular corral for a horse. This meant the perimeter of corral is equal to 280 feet.
Let's assume that the width of corral is of x feet.
Length of corral = 2.5x
We know that the perimeter of a rectangle is given by :
P = 2 ( L + B )
or
280 = 2 ( 2.5x + x)
Solving for the value of x i.e., width of corral will be :
3.5x = 140
x = width = 40 feet
and
Length = 100 feet
So , the area of corral will be :
A = L × B
or
A = 40 × 100
A = 4000 feet²
Therefore , the area of corral build for a horse is equal to 4000 feet².
Learn more about area of rectangle here :
brainly.com/question/25292087
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what is 5,000 to the 4th power
eerf stniop
Answer:
6.25e+14Step-by-step explanation:
5000 to the power of 4
is too much for the calculator
and it will do this in return for asking this.
6.25e+14
Hope this helps! <3
Answer:
6.25^14
Step-by-step explanation:
hi can yall plzzzzz help me
What value of n makes this equation true?
Answer:
n = 28
Step-by-step explanation:
Given
[tex]\frac{3}{4}[/tex] n - 18 = [tex]\frac{1}{4}[/tex] n - 4 ( multiply through by 4 to clear the fractions )
3n - 72 = n - 16 ( subtract n from both sides )
2n - 72 = - 16 ( add 72 to both sides )
2n = 56 ( divide both sides by 2 )
n = 28
Given m || n, find the value of x.
Answer:
45°
Step-by-step explanation:
If the lines are parallel then you know that the straight line has a total degree of 180. you know that part of the line is 135 degrees so 180-135=45
Daisy pompt 7 strandballen op waarvoor ze 100 l lucht nodig heeft, wat is de straal van deze strandballen? R= straal/ i= inhoud in liter formule: 1= 4/3x pi x r³
Antwoord:
r = 0,288m
Stapsgewijze uitleg:
Volume van de strandballen V = 4 / 3πr³
1 liter = 0,001 cm³
100l = x
x = 100 * 0,001
x = 0,1 m³
Vervangen in de formule en verkrijg de straal
0,1 = 4 / 3πr³
0,3 = 4πr³
r³ = 0,3 / 4 (3,14)
r³ = 0,3 / 12,56
r³ = 0,02388
r = ∛0,02388
r = 0,288m
Vandaar dat de straal van de strandballen 0.288m is
What is the speed of a car in m/hr that traveled 75 miles in 2 hours and 30 minutes?
Answer:
vtvStep-by-step explanabgvtttion:
Russell has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the rest are dated after 2000.
Complete question:
Russell has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the rest are dated after 2000. How many pennies in Russell’s collection are dated after 2000?
Answer:
480 pennies
Step-by-step explanation:
Total pennies = 1200
Datwd before 1980 = 25%
Dated 1980 - 2000 = 35%
The rest are Dated after 2000 ;
How many are dated after 2000
Dated before 1980 = 25% ;
25% of 1200
0.25 * 1200 = 300
Dated 1980 - 2000 = 35% ;
0.35 * 1200 = 420
Dated after 2000 ;
1200 - (300 + 420)
1200 - 720
= 480 pennies
Jaylenʻs betta fish tank holds 4 1/2 gallons of water. It takes him 1 7/8 minutes to fill it. What is the flow rate of the water in gallons per minute? Show your work.
Answer:
2.4 gallons every minute
Step-by-step explanation:
Since we are given three values and one variable that needs to be solved in a ratio problem we can use the Rule of Three to solve for the flow rate of the water with this being represented as x.
4 [tex]\frac{1}{2}[/tex] or 4.5 gallons <============> 1 [tex]\frac{7}{8}[/tex] or 1.875 minute
x gallons <==============> 1 minute
(1 * 4.5) / 1.875 = x
2.4 gallons = x
Therefore, we can see that the flow rate is 2.4 gallons every minute, meaning that every single minute that the hose is on, it will deposit 2.4 gallons of water into the fish tank.
Eight friends all use $5 off Tractor coupons to buy themselves football tickets to _____ playoff game. They spend a total of $56. What is the total of one football ticket without the Tractor coupon? Write and solve an equation to find the original price for one football ticket.
Answer:
12 dollars per ticket
Step-by-step explanation:
If the diagonals of a parallelogram are congruent then what would be the best and
most restrictive description of that quadrilateral?
a) Kite
b) Rectangle
c) Trapezoid
d) Rhombus
=======================================================
Explanation:
If the diagonals were congruent, then you can use the SSS property to prove a pair of right triangles are congruent. This leads to showing that we have adjacent congruent corresponding angles. Let's call those angles x and y.
Since they are congruent, we know that y = x. Adjacent angles of any parallelogram add to 180, so x+y = 180
By substitution we can solve for x
x+y = 180
x+x = 180
2x = 180
x = 180/2
x = 90
So y = 90 as well.
This line of thinking is used to show that all four angles of this parallelogram are 90 degrees. A rectangle is any quadrilateral in which all four angles are 90 degrees, so that's why this parallelogram is a rectangle.
Use a translation rule to describe the translation that is 8 units to the left and 1 unit down
1. (x, y) --> (x + 8, y + 1)
2 .(x, y) --> (x + 1, y + 8)
3. (x, y) --> (x - 8, y - 1)
4. (x, y) --> (x - 1, y - 8)
Step-by-step explanation:
the answer is (x, y) --->(x-8, y-1)
What is the slope of the following graph?
Answer:
-2/3
Step-by-step explanation:
Which sentence is a statement of the Multiplicative IdentityProperty? A. The sum of any realnumber and its opposite is zero. B. The product of any realnumber and its reciprocal is one. C. The sum of zero and any other realnumber is the number itself D. The product of one and any other realnumber is the number itself.
Answer:
D. The product of one and any other real number is the number itself.
Step-by-step explanation:
Multiplicative Identity Property can also be referred to as the identity property.
It states that when a number , a real number is multiplied by 1, the result is that same real number itself.
For example:
2 × 1 = 2
-5 × 1 = -5
Therefore, option D. The product of one and any other real number is the number itself. Is the correct option.
Two sides of a four-sided figure have negative slopes. Which are the endpoints of the sides of this figure
Answer: 1,4 2,1 5,1 4,4
Step-by-step explanation:
hope it helps
Answer:
D
Step-by-step explanation:
What's 1 4/5 x 3 2/3
Answer:
[tex]1 \frac{4}{5} \times 3 \frac{2}{3} \\ = \frac{9}{5} \times \frac{11}{3} \\ = \frac{99}{15} \\ 6 \times \frac{9}{15} [/tex]
Evaluate 2d + 7e – 12 for d = 8 and e = 6.
The value of the expression is
Answer:
46
Step-by-step explanation:
you take the values of d and e and plug them in so you would get 2(8)+7(6)-12 the you would multiply the values and you would get 16+42-12
then you would add 16+42 and then subtract that answer by 12. 16+42= 58
58-12=46 so the answer would be 46 unless you need the expression which the expression would be 16+42-12
Martha put $4.84 in her coin bank. Each day she added 1 quarter, 1 nickel and 6 pennies how much does she add each day? How much money was in her coin bank after 6 days?
Answer:
-Martha would add $0.36 each day.
-Martha would have $7 in her coin bank after 6 days.
Step-by-step explanation:
1 quarter= $0.25
1 nickel= $0.05
1 penny= $0.01
To find the amount she adds each day, you have to add the results of multiplying each coin added on a day for its value:
1*0.25+1*0.05+6*0.01=0.25+0.05+0.06=0.36
This means that Martha would add $0.36 each day.
Then, to find the amount of money that was in her coin bank after 6 days, you have to add the amount she put on the coin bank plus the amount she added each day for the number of days:
$4.84+($0.36*6)=$4.84+$2.16=$7
According to this, Martha would have $7 in her coin bank after 6 days.
A rectangle is graphed on the coordinate grid. Which equation represents a side that is perpendicular to side d?
Match up like terms (draw a line between matching terms) 20 POINTS
Step-by-step explanation:
ive attached a picture to this answer
Answer:
/
Step-by-step explanation:
What is the first step in solving this expression? (Use Order of Operations)
30-5(12÷2•6)2
Answer:
with the rule of bodmas
B. bracket
O. of
D. division
M. multiplication
A. addition
S. subtraction
Step-by-step explanation:
so u solve the bracket
then u multiply it by the 2 on the LHS
then subtract ur RHS then multiply ur answer
Answer:
divide 12 by 2
Step-by-step explanation:
According to the order of operations (PEMDAS), you must first solve inside the parenthesis. This means you must now decide whether to solve 12 /2 first or 2 * 6. Because these are division and multiplication, which are equal, you just solve whichever one comes first, or is on the left. That would by 12/2.
NEED HELP ASAP!!! 20 POINTS
Solve using Elimination:
7x + 2y = 24
4x + y = 15
Solution = ( , )
Answer:
(6, -9)
Step-by-step explanation:
Eliminate y (you can do x too, but y is easier for this problem)
To eliminate y we must get 0y
If one is 2y, the other must be -2y to get to 0
Keep the first equation the same
7x + 2y = 24
Multiply all numbers in the second equation by -2 (so y can be -2y)
-8x + -2y = -30
Positive + Negative = Negative
-8x - 2y = -30
Now add/subtract the two equations from each other
7x + 2y = 24
-8x - 2y = -30
-1x + 0y = -6
-1x = -6
Divide both sides by -1 to isolate variable
-1x ÷ -1 = -6 ÷ -1
x = 6
We could simply plug in the x value into one of the equations, but that's substitution - not elimination. Repeat the same steps for x
I will multiply the first equation by 4 to get 28x and the second equation by -7 to get -28x for an answer of 0x
28x + 8y = 96
-28x - 7y = -105
0x + 1y = -9
1y = -9
Divide both sides by 1 to isolate the variable
1y ÷ 1 = -9 ÷ 1
y = -9
The sum of 3 times a number and 12 is 20
Answer:
[tex] 3x + 12 = 20 [/tex]
[tex] x = 2\frac{2}{3} [/tex]
Step-by-step explanation:
Let x represent the unknown number.
3 times the unknown number is 3*x. = 3x
The sum of 3x and 12 is said to be 20.
This can be represented by the following equation:
[tex] 3x + 12 = 20 [/tex] (sum means addition)
The equation of the statement given in the equation can be expressed as [tex] 3x + 12 = 20 [/tex].
We can equally find the value of the unknown number using the equation, thus:
[tex] 3x + 12 = 20 [/tex]
Subtract 12 from each side of the equation
[tex] 3x + 12 - 12 = 20 - 12 [/tex]
[tex] 3x = 8 [/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{8}{3} [/tex]
[tex] x = 2\frac{2}{3} [/tex]