Answer:
4.8 x10^8
Step-by-step explanation:
A paint wholesaler uses the function f(x)=2\sqrt{x}f(x)=2
x
to determine the cost, in dollars, to buy xx gallons of paint. Find and interpret the given function values and determine an appropriate domain for the function.
Round your answers to the nearest cent.
f(0)=f(0)=
, meaning the cost of buying
gallons of paint would be $
. This interpretation
in the context of the problem.
f(70)=f(70)=
, meaning the cost of buying
gallons of paint would be $
. This interpretation
in the context of the problem.
f(58.5)=f(58.5)=
, meaning the cost of buying
gallons of paint would be $
. This interpretation
in the context of the problem.
Based on the observations above, it is clear that an appropriate domain for the function is
.
Answer:
[tex]f(0) = 0[/tex]
[tex]f(70) = 16.74[/tex]
[tex]f(58.5) = 15.30[/tex]
[tex]x \geq 0[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 2\sqrt x[/tex]
Solving (a): f(0)
[tex]f(x) = 2\sqrt x[/tex]
[tex]f(0) = 2 * \sqrt 0[/tex]
[tex]f(0) = 2 * 0[/tex]
[tex]f(0) = 0[/tex]
Interpretation:
This implies that, the cost of 0 paints is $0
Solving (b): f(70)
[tex]f(x) = 2\sqrt x[/tex]
[tex]f(70) = 2 * \sqrt{70[/tex]
[tex]f(70) = 2 * 8.37[/tex]
[tex]f(70) = 16.74[/tex]
Interpretation:
This implies that, the cost of 70 paints is $16.74
Solving (c): f(58.5)
[tex]f(x) = 2\sqrt x[/tex]
[tex]f(58.5) = 2 * \sqrt{58.5[/tex]
[tex]f(58.5) = 2 * 7.65[/tex]
[tex]f(58.5) = 15.30[/tex]
Interpretation:
This implies that, the cost of 58.5 paints is $15.30
Solving (d): The domain
[tex]f(x) = 2\sqrt x[/tex]
Set the radicand x to [tex]\geq 0[/tex]
i.e.
[tex]x \geq 0[/tex]
Hence:
The domain is [tex]x \geq 0[/tex]
What is the slope of the line that passes through the points (3, 10) and
(-13, 2)?
The answer choices are
M=3
M=-2
M=-3
M=1/2
Answer: 1/2
Step-by-step explanation:
2-10/ -13-3
-8/ -16
_____
2
1/2
can you also explain please thank you
Answer: the rate of change would be 10 because if u look at x u just cout to u get to the next number and it would be 10!
Line v passes through point (6, 6) and is perpendicular to the graph of y = 34x – 11. Line w is parallel to line v and passes through point (–6, 10). Which is the equation of line w in slope-intercept form?
A. y = 34x + 2
B. y = –34x + 2
C. y = 43x + 2
D. y = –43x + 2
A B C OR D WHICH ONE
Answer:
y = (1/34)x + 346/34
Step-by-step explanation:
We are told that; Line v passes through point (6, 6) and is perpendicular to the graph of y = 34x – 11
Now, for a line to be perpendicular to another, it means the slope of one will be the negative reciprocal of the other.
Intercept of y = 34x – 11 will be; m = 34
Thus, slope of v is; -1/34
Now, Line w is parallel to line v and passes through point (–6, 10).
Since the slope of v = -1/34, it means the slope of w will be -1/34 because parallel lines have the same slope.
Thus, using slope intercept form, the equation of line w is;
y - 10 = (-1/34)(x - (-6))
y - 10 = x/34 + 6/34
Multiply through by 34 to get;
34y - 340 = x + 6
34y = x + 346
y = (1/34)x + 346/34
i need help on this ASAP ill give thanks and 5 stars
Does this polynomial have a GCF greater than 1?
You didn't include a picture/ diagram
Helppp I will give brainiest. I will have three more questions after.
Answer:
The answer is 71.4
Step-by-step explanation:
357 / 5 = 71.4
This questions is extremely hard, could someone please answer what 5+8 is?
Answer:
13
Step-by-step explanation:
You play basketball At your schools indoor stadium. You have two payment options. Option A is to buy a membership card for $20 and pay $2 each time you go to the gym, t. Option B is to pay $4 each time you go. After how many trips to the gym will the cost be the same?
Answer:
10 trips
Step-by-step explanation:
Let the number of trips to the gym be represented by t
Option A is to buy a membership card for $20 and pay $2 each time you go to the gym.
$20 + $2× t
20 + 2t
Option B is to pay $4 each time you go.
$4 × t
= 4t
After how many trips to the gym will the cost be the same?
Option A = Option B
20 + 2t = 4t
Collect like terms
20 = 4t - 2t
20 = 2t
t = 20/2
t = 10 trips.
After 10 trips, the gym cost will be the same.
The slope of the line in Problem 3 was (-2, -3) to write an equation of the line in point-slope form.
Answer:
solve this example and then you will know how to solve your question
Step-by-step explanation:
Example of one**-
Explanation:The equation of a line in
point-slope form is.
where m represents the slope and (x1,y1)
a point on the line
here m=5 and
y+1=5(x+2)
(x1,y1)=(−2,−1)⇒
y−(−1)=5(x−)(−2)⇒y+1=5(x+2)
is equation in point-slope form
distributing and collecting like terms gives another version of the equation.
y+1=5x+10⇒y=5x-9←
in slope-intercept form
If a +5 = b + 3 and a + 5 = 12, then b +3=
That’s the question and this is Transitive Property of Equity
The original price of a jacket was 72.50$ Maria used a coupon for 20% off to buy the jacket. How much did she pay before tax?
Answer: Maria payed $58.00 for her jacket BEFORE tax.
Step-by-step explanation:
To find the answer to this question, we must first multiply 72.50 by 0.20. After doing so, we get 14.5 (this is the sale money). Finally, we subtract $72.50-14.5 to get out answer, 58 dollars.
The right triangle ABC, shown below is reflected over the line y = -x. Where will the point C' be located?
Answer:
(4, -3)
Step-by-step explanation:
It says my answers need to be at least 20 characters long so I had to write this.
please help with this question
Answer:
I think it would be B
an independent variable is the thing that doesn't change
Step-by-step explanation:
because the signal strength is what you want to stay the same you would want it to be at full bars. A is incorrect you can move the router closer or father away from the computer. your going to have to to get the best signal same for C. and on D it is incorrect because they never said that they were only going to have one device or two or three on the router.
hope this helps!
what is the difference between -0.4 and 44.4?
Answer:
44.8
Step-by-step explanation:
Answer: The difference between two numbers can be obtained by subtracting the smaller number from the bigger number. Here, - 0.4 is the smaller number, and 44.4 is the larger number. Therefore, the difference between the two is 44.4 - (- 0.4)
Step-by-step explanation: follow me and i will give you more answers to all your questions
A marathon is 26.2 miles long there’s a water station every 1.31 miles along the race route which expression repeats the total number of water stations
Answer:
26.2/1.31
Step-by-step explanation:
round 63.796 to the nearest whole number
Answer:
the correct answer would be 64
Answer:
64Step-by-step explanation:
63.796
63.80
63.8
64
Hope this helps! <3
What is the length of leg s of the triangle below?
Answer: S=4 “C is correct”
Step-by-step explanation:
Both legs equal each other so if one leg is 4 the other leg is 4. I got the answer right in the Apex quiz.
Select the correct answer from each drop-down menu.
The Northville School Board has proposed this budget for the upcoming school year
• 20% for school staff's salaries
• 50% for school maintenance and upkeep
• 10% to refurbish the gymnasium
• 5% to upgrade the computer lab hardware
• 10% for new instruments for the music department
• 5% for new sports equipment
After a brief discussion, the school board revised the budget as follows:
• 20% for school staffs salanes
• 50% for school maintenance and upkeep
• 10% to refurbish the gymnasium
• 10% to upgrade the computer lab hardware
• 5% for new instruments for the music department
• 5% for new sports equipment
In this case, the opportunity cost for
Incomplete question. The completed question reads;
The Northville School Board has proposed this budget for the upcoming school year:
20% for school staff’s salaries
50% for school maintenance and upkeep
10% to refurbish the gymnasium
5% to upgrade the computer lab hardware
10% for new instruments for the music department
5% for new sports equipment
After a brief discussion, the school board revised the budget as follows:
20% for school staff’s salaries
50% for school maintenance and upkeep
10% to refurbish the gymnasium
10% to upgrade the computer lab hardware
5% for new instruments for the music department
5% for new sports equipment
In this case, the opportunity cost for (refurbishing the gym, upgrading the computer lab, or getting new instruments.) was ( upgrading the new computer lab hardware, getting new equipment, or getting new instruments?
Answer:
getting new instrument
Explanation:
Note that the term opportunity cost refers to the value or the cost of not selecting/benefitting from the other alternative option.
Comparing both budgets, it is observable that the budget for computer lab hardware was increased by 5%; and that of musical instruments was reduced by 5% according to The Northville School Board order of preference (importance).
Thus, we can say that the board decided to forgo some of the amount spent on musical instruments, but decided to increase spending on computer hardware.
Answer:
In this case, the opportunity cost for upgrading the computer lab hardware was getting new instruments.
Step-by-step explanation:
Edmentum
May anyone please help me?
Answer:
B
Step-by-step explanation:
John has a piece of clay that weighs 12 1/2 pounds. He divides the clay into 5 equal pieces. How much does each piece weigh?
Answer:
2.44
Step-by-step explanation:
12 1/2 / 5 =2.44
sum n=3 ^ infty (2n+5)
find the series shown
=====================================================
Explanation:
We're adding terms in the form (2n+5)
The first term is when n = 3, so
2n+5 = 2*3+5 = 6+5 = 11
The next term is when n = 4, so
2n+5 = 2*4+5 = 8+5 = 13
The next term is when n = 5, so
2n+5 = 2*5+5 = 10+5 = 15
And so on
This means,
[tex]\displaystyle \sum_{n=3}^{\infty} (2n+5) = 11+13+15+17+\ldots[/tex]
which matches with choice C. The three dots indicates the pattern goes on forever.
-------------------
Choice B does not have these dots, so that's why choice B is not the answer. If we replaced the infinity symbol with 7, then choice B would be the answer.
I.e,
[tex]\displaystyle \sum_{n=3}^{7} (2n+5) = 11+13+15+17+19[/tex]
y = 5x + 2 and y = 5x – 1 parallel, perpendicular, or neither
Answer:
Parallel
Step-by-step explanation:
Parallel lines have the same slope, in this equation it is a slope of 5.
The given lines are parallel in nature.
What is slope?Numerical measure of a line's inclination relative to the horizontal.
Equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation.
Given:
y = 5x + 2 and y = 5x – 1
The slope for line 1 is 5.
and, the slope for line 2 is 5.
For, perpendicular line the slope of both lines are negative inverse relation.
But here the slope of both line are same which have parallel nature.
Hence, both lines are parallel in nature.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
POLYNOMIALS QUESTION!!!
Answer:
The new area of the smaller rectangle is 16 - x² units²
Step-by-step explanation:
The dimensions of the small rectangles are 2 + x and 2 - x
∵ The length of the small rectangle is 2 + x units
∵ The length is adding by 2 units
∴ The new length = 2 + x + 2 = 4 + x units
∵ The width of the small rectangle is 2 - x units
∵ The width is adding by 2 units
∴ The new width = 2 - x + 2 = 4 - x units
∵ Area of the rectangle = length × width
∴ The new area of the smaller rectangle = (4 + x) × (4 - x)
→ Simplify it by multiplying the 2 brackets
∵ (4 + x)(4 - x) = (4)(4) + (4)(-x) + (x)(4) + x(-x)
∴ (4 + x)(4 - x) = 16 + (-4x) + 4x + (-x²)
→ Remember (+)(-) = (-)
∴ (4 + x)(4 - x) = 16 - 4x + 4x - x²
→ Add the like terms
∴ (4 + x)(4 - x) = 16 - x²
∴ The new area of the smaller rectangle is 16 - x² units²
3b) Two pizzas are made to the same dimensions. The only difference is that
Pizza 1 is cut into pieces at 30° angles and Pizza 2 is cut at 45° angles. They are
sold by the slice. The slices for Pizza 1 sell for $1.45/slice and the slices for Pizza 2
sell for $1.75/slice. What is the difference in total sales between Pizza 2 and Pizza
1?
Step-by-step explanation:
$0.30 because they only sell 30 cents less/more than each other
how much will my total cost be if I pay 5% sales tax on subtotal of $28.95 ?
Answer:
37.34
Step-by-step explanation:
I divided the total by the tax and added what I got from the division to the total to get the final total
22
2. Which is the same as 3y-9x+6= 0
Answer:
y = 3x − 2
Step-by-step explanation:
Hope This Helps!
On your own paper, change 7/8 to a
decimal and type in the answer:
Answer:
.125 is equal to 1/8 so do .125 times 7 and that equals .875
Step-by-step explanation:
.125=1/8
.125x7=.875
Answer:
0.875
Step-by-step explanation:
to convert a fraction into a decimal you divide the numerator by the denominator
Express 48 1/4 in simplest radical form.
Help, this is proportional relationships.
Answer:
B
Step-by-step explanation:
