Answer:
$551
Step-by-step explanation:
Given the amount of profit, y, made by the company, is related to the selling price of each widget, x, by the equation y=-x^2+62x-410
The company make the maximum profit at when dy/dx = 0
dy/dx = -2x + 62
Since dy/dx = 0
0 = -2x + 62
2x = 62
x = 62/2
x = 31
substitute x = 31 into the expression y=-x^2+62x-410
y=-x^2+62x-410
y=-31^2+62(31)-410
y = -961+1922-410
y = 551
Hence the maximum profit the company can make is $551
2.
The perimeter of the rectangle is 24 cm. Find the value of x.
A. 3
B. 12
C. [tex]\frac{8}{3}[/tex]
D. 18
Answer:
I thinks is
A is the best answer
Please help me with my math!
Answer:
I believe it's A. but that's just what I think sorry I can't really back it up much
The answer is the third option, because the range is -6 and the third option says its greater than or equal to -2.
Please help me out :D
Answer:
384 cubic inches
Step-by-step explanation:
For this problem, we simply need to apply the volume formula for a box. The volume is length times width times height.
We are given length = 12 inches
We are given width = 8 inches
We are given tall(height) = 4 inches
So let's Calculate the volume.
Volume = Length * Width * Height
Volume = 12 inches * 8 inches * 4 inches
Volume = 384 cubic inches
Hence, the volume of the box is 384 cubic inches.
Cheers.
Word Problem #2
On one night, a scientist needs to determine the
distance she is away from the International Space
Station. At the specific time she is determining this the
space station distance they are both on the same line of
longitude 77' E. Furthermore, she is on a latitude of 29°
N and the space station is orbiting just above a latitude
of 61.4° N. In short, the central angle between the two
is 32.4°. If the Earth's radius is 3959 miles and the
space station orbits 205 miles above the surface of the
Earth, then how far is the scientist away from the space
station?
205 mi
3959 miles
324 CE
A
3959 miles
I need help with this question, please answer quickly.
Answer:
Flowers: 5
Vegetables: 25
Step-by-step explanation:
what is the volume, in cubic centimeters, of a cylinder that has a height of 15 cm and a diameter of 12cm?
Answer:
Option 2[tex]540\pi[/tex]
Step-by-step explanation:
Given,
Diameter of the cylinder = 12cm
Radius of the cylinder = 12cm ÷ 2 = 6cm
Height of the cylinder = 15cm
Therefore,
Volume of the cylinder
[tex] = \pi {r}^{2} h[/tex]
[tex] = \pi \times 6 \times 6 \times 15 {cm}^{3} [/tex]
[tex] = 540\pi \: cubic \: cm[/tex]
Hence,
Option 2 is correct for volume of the cylinder in cubic cm:
[tex]540\pi[/tex]
which of the following correspondence is/are equivalent to TOP↔️SUN?
a.OPT↔️USN
b.POT↔️NUS
c.PTO↔️NSU
d.TPO↔️UNS
b.POT↔️NUS
Step-by-step explanation:
hope it helps
Can someone please help me with this i don't understand the way my teacher explained it
Answer:
I dont even understand that and im in 8th grade lol
Answer:
7,476 would be your answer because
62,300 divided by 3% is 1,869
and 1,869 times 4 is 7,476
Step-by-step explanation:
The cost of boring a tube well 600 meter deep is as follows 25 paisa for the first metre and an additional 4paisa for every subsequent meter find the cost of boring a 500th meter long
State if the three numbers can be the measures of the sides of a triangle.
5, 12, 10
Yes or No
Answer:
yes
Step-by-step explanation:
A rectangular prism has a length of 5cm, a height of 7cm, and a width of 9cm. What is its volume, in cubic cm?
Answer:
315 cubic cm
Step-by-step explanation:
length = 5cm
height = 7cm
width = 9 cm
Area of a Rectangular Prism = lwh
Area = 5 x 7 x 9
Area = 315 cubic cm
Answer:315
Step-by-step explanation:
7. The table shows the cost for ordering a certain number of pieces of chicken.
What is the value of x if the cost is proportional to the number of chicken
pieces ordered?
Pieces of Chicken Ordered
2
3
4
6
Cost
$3.00
$4.50
$6.00
A. $4.00
B. $9.00
C. $1.50
D. $6.67
john is placing cement tiles for a patio in a rectangle surrounding a rectangular fire pit. The fire pit has a width of x ft and a length that is 5 times the width. The entire patio is 6ft wider and 19 ft longer than the fire pit. What is the area that he will need to buy tiles for?
Answer:
49x + 114
Step-by-step explanation:
[ [ fireplace ] x = area of 5[tex]x^{2}[/tex] ] x + 6
5x
patio = area of 5[tex]x^{2}[/tex] + 49x + 114
5x + 19
(5x + 19) ( x + 6) = 5[tex]x^{2}[/tex] + 19x + 30x + 114
(5[tex]x^{2}[/tex] + 49x + 114) - (5[tex]x^{2}[/tex] ) = 49x + 114
(area of patio and fireplace) - (area of fireplace) = (area of patio only)
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!
Step-by-step explanation:
X = 10 (use pyth)
Y = 11.18(use pyth)
Solve the quadratic equation by using either numeric or a graphic approach x^2 - 14x - 49 = 0
Answer:
[tex]x = + - 7\sqrt{2 + 7} [/tex]
or in decimal form:
x = 16.89 , -2.89
You get this by completing the square.
Answer:
C
Step-by-step explanation:
edge 2021
All sides of ∆ABC are tangent to circle P.
What is the perimeter of triangle ABC?
Answer:
[tex]Perimeter =58[/tex]
Step-by-step explanation:
Given
[tex]AB = 24[/tex]
See attachment
Required
The perimeter of ABC
First, calculate the lengths of AC and BC.
From the attachment.
[tex]Ax = Az =10[/tex]
[tex]Cx = Cy = 5[/tex]
[tex]By =Bz[/tex]
So, we have:
[tex]AC = 10 + Cx[/tex]
[tex]AC = 10 + 5[/tex]
[tex]AC = 15[/tex]
Also:
[tex]Az + Bz = AB[/tex]
[tex]Az + Bz = 24[/tex]
Recall that: [tex]Ax = Az =10[/tex]
So:
[tex]10 + Bz = 24[/tex]
[tex]Bz = 24 - 10[/tex]
[tex]Bz = 14[/tex]
So, we have:
[tex]By = Bz = 14[/tex]
To calculate BC, we have:
[tex]BC = 5 + By[/tex]
[tex]BC=5+14[/tex]
[tex]BC = 19[/tex]
The perimeter is then calculated as:
[tex]Perimeter = AB + BC + AC[/tex]
[tex]Perimeter = 24 + 19 + 15[/tex]
[tex]Perimeter = 58[/tex]
Answer the question please and no links. Please explain too.
Answer:
(20,5)
Step-by-step explanation:
The line is proportional making the answer equivalent.
Answer:
(20,5)
Step-by-step explanation:
20,5=4,1
The triangular pyramid has identical equilateral triangles as its faces. Find the surface area of the pyramid.
Answer: B: 140.4
Step-by-step explanation:
An 18-ounce bottle of juice costs $4.86. What is the unit rate for the juice
Answer:
3.7
Step-by-step explanation:
Answer:
The Unit Rate would be 0.27:1
Step-by-step explanation:
Divide 4.86 by 18 to get 0.27
Hope this helps! Pls make brainliest
Liz flips a coin 50 times. The coin lands heads up 15 times and tails up 35 times. Complete each
statement.
The theoretical probability of the coin landing heads up is %.
Type an integer or a decimal.
Answer:
Theoretical Probability: 30%
Integer/decimal: 0.30
Step-by-step explanation:
Using the same spinner and die from the problem above, what is the probability of not spinning a blue, and then not rolling a five?
I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
Yes that is Correct.
Step-by-step explanation:
If all three pairs of corresponding sides are congruent, the triangles are congruent.
Find an expression in its simplest form for the perimeter of this shape
Answer:
(18p + 18)
Explanation:
the perimeter of the shape is the sum of all its sides. we are given the individual lengths of all the sides except for the horizontal one at the bottom and the vertical one between (2p + 5) and (3p + 4), but they can easily be calculated using the other values.
the horizontal length at the bottom is the sum of (2p + 5) and (3p + 4), or (5p + 9).
the vertical length is the difference between 4p and 2p, which is 2p.
now, we can add all of these values together:
4p + (2p + 5) + 2p + (3p + 4) + 2p + (5p + 9)
= 4p + 2p + 2p + 3p + 2p + 5p + 5 + 4 + 9
= 18p + 18
i hope this helps! :D
A line passes through the points (-1, 4) and (3, -8). A second line passes through
(-1,8) and (2, 11).
A) Write the equation of each line. Show all work.
Answer:
y = -3x + 1, y = x + 9
Step-by-step explanation:
An equation consists of a slope and the y-intercept. To find the slope, you need to plug the values into the slope formula.
y2 - y1/ x2 - x1
= -8 - 4/ 3 - (-1)
= -12/ 4
= -3
The slope of the first line is -3.
To find the y-intercept, you need to plug in either one of the coordinates into the equation, y = -3x + b
-8 = -3(3) + b
-8 = -9 + b
1 = b
The equation, for the first one, is y = -3x + 1
Line 2:
11 - 8/ 2 - (-1)
= 1
y = 1x + b
11 = 1(2) + b
11 = 2 + b
9 = b
y = x + 9
POSSIBLE POINTS 6.67
Jacob made two trips to the store. On his first trip to the store, he
bought x kitchen towels for $3 each and y dishcloths for $2 each and spent
a total of $32. On his second trip to the store, he bought x oven mitts for $5
each and returned the y dishcloths he bought on the first trip. He was
refunded the money for the dishcloths and still spent $32. The system of
equations shown below represents the amounts, in dollars, he spent on the
two trips to the store.
3x + 2y = 32
5x - 2y = 32
How many kitchen towels and dishcloths did Jacob buy on his first trip to the
store?
o 10 kitchen towels and 4 dishcloths
o 4 kitchen towels and 10 dishcloths
04 kitchen towels and 8 dishcloths
8 kitchen towels and 4 dishcloths
Answer:
8 kitchen towels and 4 dishcloths!
Step-by-step explanation:
first equation is 3x + 2y = 32
second equation is 5x - 2y = 32
add the two equations together to get 8x = 64
solve for x to get x = 64 / 8 = 8
replace x with 8 in the first equation to get 24 + 2y = 32
solve for y to get y = 8/2 = 4
you have x = 8 and y = 4
first equation becomes 24 + 8 = 32
second equation becomes 40 - 8 = 32
the solution checks out ok.
solution is x = 8 and y = 2 which means he bought 8 kitchen towels and 4 dishcloths on his first trip.
Write and evaluate two equivalent numerical expressions that show Distributive Property of Multiplication
Answer:
2(x+5) = 2x+10
Step-by-step explanation:
I'm assuming you can use any possible combination of two equivalent numerical expressions for your question.
2(x+5) = 2x+10
2 times x is 2x. 2 times 5 is 10. So, you get 2x+10
The distributive property of multiplication involves taking the product a certain value and another variable joined by either an addition or subtraction operator.
3(x + 5) = 3x + 15For instance :
a(b + c) = a×b + a×c = ab + ac
The expressions below shows distributive property of multiplication :
3(x + 5) and 3x + 15 exhibits the distributive property of multiplication.
3(x + 5)
Opening the bracket :
3×x + 3×5 = 3x + 15
Hence,
3(x + 5) = 3x + 15
Learn more on distributive property : https://brainly.com/question/11338001?referrer=searchResults
Classify the triangle based on its angles
Answer:
Right-angled triangle
Step-by-step explanation:
It has a square angle, meaning it is a right angle, which is [tex]90^{o}[/tex], making it a right angled triangle
Audria rode her bicycle for 2 hours. She drove a total of 21 miles. At this rate, how many miles will she bike in 1/2 hours?
A. 6 1/2
B. 6 3/4
C. 5 3/4
D. 5 1/4
Answer:
D
Step-by-step explanation:
21/2 = 10.5
10.5 x .5 = 5.25 = 5 1/4
The answer is D.
Find n(A) for the set.
1) A = 200, 201,
202, ..., 2000)
A) n(A)= 1801
B) n(A)= 4
C) n(A)=2000
A=200,201,202.........,2000
Here, it forms an AP with common difference 1
Let the number of terms in the set be n
[tex] T_{n} = a+(n-1)d \\\\ 2000= 200+(n-1) \\\\ 200+n-1= 2000 \\\\ => n=2000-199= 1801[/tex]
Hence,n(A)=1801
What is the answer and how did you find that?
Answer:
a) $15287.71
b) $15017.64
c) $16,368 − r%
Step-by-step explanation:
Mary's car price (including tax): $16,368
[possible tax rates and listing prices]
a) 6.6%
➠ $15287.71
b) 8.25%
➠ $15017.64
c) r (any rate)
➠ $16,368 − r%
How did I find my answers?
I had to find the sales tax, and subtract it from the overall cost of the item.
To find the sales tax, all I had to do was multiply the sales tax percentage by the price of the itemNext, all I had to do was subtract the sales tax from the item's cost