Answer:
2.25
Step-by-step explanation:
I think it is this in fraction form 2 1/4
Write an equation of the line that passes through the given point and has the given slope.
(4, 3); slope 1/2
Answer:
y = 1/2x + 1
Step-by-step explanation:
m = 1/2
Slope-intercept:
y - y1 = m(x - x1)
y - 3 = 1/2(x - 4)
y - 3 = 1/2x - 2
y = 1/2x + 1
HURRYYY A company is introducing a new product. The equation y = –0.001(x – 600)2 + 90 predicts the expected profit, in thousands of dollars, where x represents the number of thousands of units of the product sold by the company. How many units must be sold to yield a maximum profit? 90 600 90,000 600,000
Answer:
d
Step-by-step explanation:
^u^
The amount of units that must be sold to a number yields a maximum profit is 600. Hence 600 units will be the correct option.
How to find maxima?To find the maxima of any function it needs to differentiate with respect to the dependent variable and equate with zero to get stationary points.
After achieving the stationary points it needs to put on the double derivative of that function to check whether it's maxima or minima.
If the double derivative got negative then it will be maxima.
Given that function
f(x) = -0.001(x-600)² + 90
By differentiation
[tex]$f'(x)$[/tex] = -0.002(x - 600) + 90
Now equate with zero
-0.002(x - 600) + 90 = 0
x - 600 = 0
x = 600
Now checking the x at double derivative
[tex]$f''(x)$[/tex] at x = 600 it is coming out to -0.002 which is negative Hence, the 600 units will be the correct answer.
For more about maxima
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Find the number of possible outcomes. A coffee shop offers small, medium, and large sizes. Customers can choose between French roast, Italian roast, and American roast
PLS HELP! ASAP!!!
Answer:
9
3 different sizes times 3 different flavors.
3x3=9
Plz help I will give Brainlyest plz help fast
Write the expression as a single logarithm.
4logb^y + 3logb^x
Answer:
b
Step-by-step explanation:
You told your friend that you could eat 3/5 of a large pizza. If you only ate 1/2 of what you said you could eat, what fraction of a large pizza did you eat?
Answer:
3/10
Step-by-step explanation:
3/5 is equal to 6/10, and half of 6/10 is 3/10
Answer:
3/10
Step-by-step explanation:
Amount of pizza u told= 3/5
Amout u could eat of wht u told = 1/2
Amount u could eat of pizza = 3/5 x 1/2 = 3/10
(calculation attached below)
I hope im right!!
1. Which is an exponential equation?
(1) y = x2
(3) y = 2x-3
(2) y =5^x
(4) y = 1/x
I need help with this question
Answer:
Part A
D
Part B
76
Step-by-step explanation:
I don't know how to explain it
Need help, due in 1 hour please!
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
hope this helps lovely! <3
A 10 METER PIECE OF WIRE IS CUT IN TO TWO PIECES ONE PIECE IS 2 METERS LONGER THAN THE OTHER HOW LONG ARE THE PIECES
one piece is 2m
one is 8m
PLEASE HELP ASAP
find JL
Answer:
7
Step-by-step explanation:
A triangle has angles that measure 106° and 59°.
What is the measure of the third angle?
74º
121°
15°
47°
Im having trouble with these and ive been staring at my screen for over an hour- I just need to know the answer-
Answer:
(-3, 4)
It doesn't show any coordinates so I assume that the origin is where the x and y axes intercept
In degrees, what is the measure of MFE?
Answer:
30°
Step-by-step explanation:
It tells us that MFE is equal to (x + 6)° so we need to find x
The angle accross from MFE is RFT. These angles are congruent, because they are a vertical pair. So RFT is also equal to (x + 6)°
The angle RFT and PFR combined form a right angle. This means that RFT + PFR = 90°.
They told us that PFR = (3x - 4)°
so that means that (x + 6) + (3x - 4) = 90°
Knowing that we can just solve the equation by combining like terms
4x + 2 = 90
Subtract two from both sides
4x = 88
And then divide by 4
x = 22
Now we can plug in 22 in the original equation to find MFE
22 + 6 = 30
so MFE = 30°
A. f(x) =1/2 (4,000)^x
B. f(x) = 4,000(2)^x
C. f(x) = 2,000 (1/2)^x
D. f(x) = 4,000 (1/2)^x
Someone pls help me
Answer:
2. 8x
3. (12/2)*(10/2)
Step-by-step explanation:
Of 120 owners of reptiles surveyed, 27 own snakes as pets. What percent of
the reptile owners own snakes as pets?
Answer:
22.5%
Step-by-step explanation:
HELP NEED THIS FOR A TEST!!! 20 POINTS!!
Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when remaining fuel is 1.5 gallons or less.
Answer:
a.
capacity of car = 14 gallons
consumption of fuel in one day = 0.6 gallons
consumption of fuel in 14 days = 14 x 0.6 = 8.4 gallons
fuel remaining in car = 14 - 8.4 = 5.6 gallons
so they can drive the car without warning.
b.
consumption of fuel in one day = 0.6 gallons
consumption of fuel in 25 days = 25 x 0.6 = 15 gallons
fuel remaining in car = 14 - 15 = -1 gallons
so they can't drive the car without warning.
c.
the expression 14 - 0.6t represents remaining fuel in the vehicle, where t represents number of days.
d.
14 - 0.6t = 1.5
or - 0.6t = 1.5 - 14 = - 12.5
or t = -12.5 / - 0.6
or t = 20.8333 days
so he can drive 20 days without warning. E.
14 - 0.6t < 1.5
or t < 20.8333
here t represents number of days car can drive without warning light.
Step-by-step explanation:
The inequality is
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
14 gallons-1.5 gallons=12.5 gallons
we know that
If the remaining fuel is greater than 1.5 gallons Diego's father can drive the car without the warning light coming on
so
Let
x ----> the number of days
----> inequality that represent the situation
Solve for x
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
Which of these is a function please answer.
Answer:
1 and 3
Step-by-step explanation:
Answer:
Options 1 and 4Step-by-step explanation:
Option 1
x-values are different and y-values are sameThis is a functionOption 2
x-values are repeated (3) with different y-valuesThis is not a functionOption 3
x-values are repeated and y-values are differentThis is not a functionOption 4
x- values are different, y-values are differentThis is a function
HELPPPPPPPPPPPPPPPPPPOPPPPPPP PLZZZ
Answer:
x^2 + 3x
Step-by-step explanation:
just add like terms so 3x^2 - 2x^2 = x^2 and 11x - 8x = 3x
Find a solution to the equation 4(x + 7) = 38
Answer:
4(x+7)=38
4x+28=38
4x=38-28
4x=10
(divide by 4)
x=2whole number 2/4
=2whole number 1/2
or x=2.5
The money Sky makes from babysitting is directly proportional. After 4 hours, she makes $72. How much money would she make after 7 hours?
A) $72
B) $52
C) &126
D) $108
Answer:
C. $126
Step-by-step explanation:
Let us say x is the amount of money Sky makes for babysitting 7 hours.
[tex]\frac{72}{4} =\frac{x}{7}[/tex]
[tex]\frac{72}{4} = 18[/tex]
[tex]18=\frac{x}{7}[/tex]
x=$126
At a taffy pull, George stretched the taffy to 3 feet. Jose stretched it 1_ 1 3 times as far as George. Maria stretched it _ 2 3 as far as George. Sally stretched it _ 6 6 as far. Who stretched it the farthest? The least?
Answer:
Jose stretched the taffy the farthest and Maria stretched it the least
Step-by-step explanation:
Distance stretched by George = 3 feet
Distance stretched by Jose is [tex]1\dfrac{1}{3}[/tex] times as much as George so
[tex]3\times 1\dfrac{1}{3}=3\times\dfrac{4}{3}=4\ \text{feet}[/tex]
Distance stretched by Jose is [tex]4\ \text{feet}[/tex]
Maria streched the taffy [tex]\dfrac{2}{3}[/tex] times as George
[tex]3\times \dfrac{2}{3}=2\ \text{feet}[/tex]
Maria stretched the taffy by [tex]2\ \text{feet}[/tex]
Sally stretched it [tex]\dfrac{6}{6}[/tex] so [tex]1\ \text{feet}[/tex]
So, Jose stretched the taffy the farthest and Maria stretched it the least.
Circle the volume, in cm^3, of a cylinder with radius 5 cm and height 8 cm
[1 mark]
A)40π
B)80π
C)200π
D)1600π
Answer:
C
Step-by-step explanation:
Volume of a cylinder is πr²h
V = π * 5² * 8
V = π * 25 * 8
V = π * 200
V = 200π
To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following proportions are correct?
A. 10mm/1cm = x/140mm
B. 1cm/10mm = 12.5cm/x
C. 10mm/1cm = 140mm/x
D. 12.5mm/1cm = 140mm/x
Linda made $228 for 12 hours of work. At the same rate, how many hours would she have to work to make $133?
Step-by-step explanation:
228 ÷12 =19
So 19 dollars per hour
Now 133÷19= 7 hours
Write an equation that could be used to find the value of x using the interior angles of ∆ABD, then solve the equation.
Answer:
equation: 55 + (2x + 3) + 90 = 180
55 + 2x + 3 + 90 = 180
2x + 148 = 180
2x = 32
x = 16
Answer:
55 + 50 + 2x+3 + 2x+8 = 180
x = 16
Step-by-step explanation:
55 + 50 + 2x+3 + 2x+8 = 180
113 + 4x = 180
4x = 64
x = 16
find the inverse of y=100-x^2
Answer:
The inverse is ±sqrt(100-x)
Step-by-step explanation:
To find the inverse, exchange x and y
x = 100 -y^2
Solve for y
Subtract 100 from each side
x - 100 = -y^2
Divide by -1
-x +100 = y^2
Take the square root of each side
±sqrt(100-x) = sqrt(y^2)
±sqrt(100-x) =y
The inverse is ±sqrt(100-x)
The diagram below shows a banquet hall’s plans to install a new dance floor.
What is the area of the new dance floor in square feet?
Answer:
333 ft squared
Step-by-step explanation:
18 x 18.5 = 333
Giving brainliest!!!Please help.. :(
Select the statement that describes this expression: 5 x (3 + 4) − 4.
A) 5 times the sum of 3 and 4, then subtract 4
B) 5 times 3 plus 4 minus 4
C) 5 more than the sum of 3 and 4, and then subtract 4
D) 5 times 3 plus the difference of 3 and 4
A is the answer 5 times the sum of 3 and 4 then subtract 4
Answer:
A
Step-by-step explanation:
A the anser is A deal with it...
hi i would rly appreciate ur help on this. I need to write these expressions as products:
1. ((a+1)^3)+(x^3)
2. ((y-2)^3)-27
3.((a-b)^3)+b^3
4. (8x^3)+((x-y)^3)
5. (27a^3)-((a-b)^3)
Thank you so much i rly appreciate it
Answer:
1.) ((a+1)^3)+(x^3) = a^3 + 3a^2 + 3a + x^3 + 1
2.) ((y-2)^3)-27 = (y^2-y + 7) x ( y - 5 )
3.) ((a-b)^3)+b^3 = a (a^2 - 3ab + 3b^2 )
4.) (8x^3)+((x-y)^3) = 9x^3 -3x^2 y + 3xy^2 - y^3
5.) (27a^3)-((a-b)^3) = 26a^3 + 3a^2 b - 3ab^2 + b^3
5) factor = (a+b)(a+b)^ 2 if a is squared and if b is cubed and moved over to = 0 then we can find (a+b)(a+b)^2 but in all cases of quadratics you can set (x -1 ) = 1 and (x-1 ) = 1 so they are always positive. Which is the same if they start of negative.
For question 5 we have a factor solved (a+b)(a+b)^ 2
Which means the same as this expansion
(