Answer: Midpoint: (2, 1)
Step-by-step explanation:
Midpoint formula: ((x1 + x2)/2 , (y1 + y2)/2)
(-4 + 8)/2 = 2
(-8 + 10)/2 = 1
Answer: (2, 1)
A kitchen table is being sold at a furniture store. These are the cost and revenue functions associated with the tables, where x
represents the selling price of a single table:
R(X) = -0.68x2 + 310x
C(x) = 43.6x + 36,176
Which two points represent breakeven for table sales?
(0, 36,176)
(140, 30,072)
(227, 35,330)
(260, 9,792)
(380, 19,608)
Answer:
(140, 30,072) and (380, 19608).
Step-by-step explanation:
We are given that the revenue function for selling the kitchen table given its price is:
[tex]R(x)=-0.68x^2+310x[/tex]
And the cost function is:
[tex]C(x)=-43.6x+36176[/tex]
At the breakeven point, the revenue equals the cost. Therefore:
[tex]R(x)=C(x)[/tex]
Substitute:
[tex]-0.68x^2+310x=-43.6x+36176[/tex]
We can solve for x.
Adding 0.68x² to both sides and subtracting 310x from both sides yields:
[tex]0.68x^2-353.6x+36176=0[/tex]
We can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 0.68, b = -353.6, and c = 36176. Substitute:
[tex]\displaystyle x=\frac{-(-353.6)\pm\sqrt{(-353.6)^2-4(0.68)(36176)}}{2(0.68)}[/tex]
Simplify:
[tex]\displaystyle x=\frac{353.6\pm\sqrt{26684.24}}{1.36}[/tex]
So, our two solutions are:
[tex]\displaystyle x=\frac{353.6+\sqrt{26684.24}}{1.36}\text{ or } x=\frac{353.6-\sqrt{26684.24}}{1.36}[/tex]
Use a calculator:
[tex]x\approx 380\text{ or } x\approx 140[/tex]
Our answers are:
(140, 30,072) and (380, 19608).
Answer:
(140, 30,072) and (380, 19608)
Step-by-step explanation:
i got it right
I’ll give points + brainalist (:
Answer:
A: 24+6n≤50
Step-by-step explanation:
$24 plus $6 times however many tubes he gets has to be less than or equal to $50
Represent the greatest common factor of 36 and 8 using the distributive property
36 + 8 =
0 4x(9+2)
O2 x (18+4)
O 8x (5+2)
0 11 x (3+1)
In a recent survey of 150 teenagers, 93 stated that they always wear their seat belt when they travel in a car. Assuming the distribution is approximately normal, find the point estimate and standard error for the proportion of teenagers that always wear a seat belt when traveling in a car. Round your answers to two decimal places, as needed.
Answer:
Point estimate = 0.62
Step-by-step explanation:
Point estimate = x/n
Given
n is the sample size = 150
X = Those that wear their seat belt
X = 93
Point estimates = 93/150
Point estimates = 0.62
has vertices
Rectangle ABCD
D(4, - 2)
A(1, 2), B(4, 2). C(1, — 2). ane
A dilation with a scale factor of 6 and centered at the origin is applied to the rectangle.
Which vertex in the dilated image has coordinates of
(24, 12)
o A
о В!
o D'
9514 1404 393
Answer:
B'(24, 12)
Step-by-step explanation:
The transformation due to dilation by a factor of 6 is ...
(x, y) ⇒ (6x, 6y)
We want to identify the original point, so we can find (x, y) using ...
(24, 12) = (6x, 6y)
(4, 2) = (x, y) . . . . . . divide by 6
The point with coordinates (4, 2) is point B, so the point with coordinates (24, 12) is B'.
Approximate, in square meters, the area of a circle with radius = 58.2 m. (Round your answer to three decimal places.)
Answer:
10,635.934 m^2
Step-by-step explanation:
The formula for area of a circle is π r² (pi ⋅ radius ⋅ radius)
According to the word problem, 58.2 is the radius.
Now that we know the radius, we have our final equation:
pi ⋅ radius ⋅ radius
(3.14 IS USED FOR PI)
3.14 ⋅ 58.2 ⋅ 58.2 = 10,635.9336
10,635.9336 rounded to the three decimal places (to the nearest thousandth): 10,635.934
Therefore, the area of this circle in square meters is 10,635.934 m^2.
What is the perimeter of the triangle. Please look at photo. I need you help. Thank you in advance♡
'All factors of 70 are even numbers.'
Is he correct?
Ores
Yes
No
No
Explain your answer.
Answer:
No
Step-by-step explanation:
70 is divisible by 5. 5 is not an even number.
Answer:
No
Step-by-step explanation:
The factors of 70 are 1, 2, 5,7,10, 14, 35, and 70. the even numbers are 2, 10,14, and 70. but there are odd numbers, like 1, 5, 7, and 35. And since we know there are odd factors, the answer is No. 70 has even AND odd factors.
HELP LOL !!!! The hypotenuse of a right triangle measures 17 inches.
One leg of the same triangle measures 5 inches.
Determine the length of the other leg.
Answer:
a is approximately 16.25, using the pythagorean theorem.
Step-by-step explanation:
a^2+ b ^2 = c^2
Answer:
wwach leg is 15 inches
Step-by-step explanation:
I hopes this helps
5. How many more more vertices does a rectangular prism have than triangular pyramid?
Please simplify this!
[tex]( {3}^{2}) {}^{3} [/tex]
Answer:
729
Step-by-step explanation:
We have the equation [tex](3^2)^3[/tex] and are asked to simplify it.
When you have a number with an exponent inside the parenthesis, and then another exponent right out of the parenthesis, you follow the rule where you multiply both exponents together.
Therefore,
[tex](3^2)^3=3^{2*3} =3^6[/tex]
[tex]3^6 = 729[/tex]
Can you help me with this question please
Answer:
Triangle a was reflected across the x-axis to form triangle b
HELP ME I BEG YOU ALL
Answer:
A) 42 boys can count. B) 42/53
Step-by-step explanation:
Good luckk
Use the first five terms of the trigonometric series to approximate the value of sin 14pi/18 to four decimal places. Then compare the approximation to the actual value.
a. -0.9609, -0.9659
b. -0.9568, -0.9659
c. -0.9649, -0.9659
d. 0.6432, 0.6428
Please select the best answer from the choices provided.
Answer: D
Step-by-step explanation:
just took it:)
18. At my son's birthday party, we had a piñata that we filled with 140 pieces of candy. If there were 42 Hershey
chocolate bars, what percent of the candy was Hershey chocolate bars?
19. On a recent test, there were 15 multiple-choice questions and 25 fill-in-the-blank problems. What percent of
the problems were fill-in-the-blank problems? (Hint: How many problems were on the entire test.)
Answer:
18. 30%
19. 62.5%
Step-by-step explanation:
42/140 mult by 100 30%
25 + 15 = 40
25/40 mult by 100 62.5%
Help me pls need it really appreciated
Answer:
No, because he has a sum of 0.
Step-by-step explanation:
3+11-5-8-2+1
=14-5-8-2+1
=9-8-2+1
=1-2+1
=-1+1
=0
2.301 is greater than less than it equal to 2.31
Answer:
It's less than
Step-by-step explanation:
You have to add an extra 0 at the end of 2.31 to make it 2.310. From there it should be obvious that 2.310 is greater than 2.301. Therefore 2.301 is less than 2.31
(9-6i) x m = 9 - 6i
What is m?
0
1
9+6i
-9+61
Answer:
1
Step-by-step explanation:
it should be 1. I believe this is the identity property.
Suppose there is a bag of 10 marbles. Of the 10 marbles, 5 are blue, 3 are green, and 2
are black. What is the probability of drawing three marbles and having all three be green,
with replacement
Answer:
27/1000
Step-by-step explanation:
P(G,G,G) = 3/10 x 3/10 x 3/10
Triangle ABC is shown BCD=30 D is a point on side AC such that BD=DA=AB prove that AD =DC
Answer:
Step-by-step explanation:
what grade are you on lemme help you
Answer:
<BAC=<BAD=60° (ΔABD is an equilateral triangle (all sides are equal) so each angle measures 60°)
All the angles in a triangle add to 180, so for ΔABC, we can write <ABC=180-60-30=90. So ΔABC is a right angled triangle with hypotenuse AC.
sinA=opposite/hypotenuse
sin30=AB/AC
1/2=AB/AC
AC=2AB=2AD
AC=AD+DC
AD+DC=2AD
DC=AD
QED
PLEASE GELP ME ASAP RHIS IS TIMING ME!!!!!!!!!!!!
Answer: A .10
Step to step equation :
ted is twice his sister's age and three years younger than joe. ted's sister is half of a century plus ten. how old is ted how old is ted's sister
Answer:
teds sister is 60 years old, ted is 120 some how, and joe is 123.
Step-by-step explanation:
half of a century is 50 because a century is 100 years and plus 10 years equals 60 and 60 times 60 equals 120 and 120 plus 3 years equals 123 so that's how I got the answers. At first this answer looks complicated you just have to read the question carefully.
3(e-3)-7(2e-8) - (e-1) =0
Answer:
e = 4
Step-by-step explanation:
3 ( e - 3 ) - 7 ( 2e - 8 ) - ( e - 1 ) = 0
The first step to solving such an equation is to distribute. Multiply the term outside of the parentheis by every term inside of the parenthesis,
3e - 9 - 14e + 56 - e + 1 = 0
Simplify, combine like terms,
3e - 9 - 14e + 56 - e + 1 = 0
3e - 14e - e - 9 + 56 + 1 = 0
-12e + 48 = 0
Inverse operations,
-12e + 48 = 0
+12e +12e
48 = 12e
/12 /12
4 = e
What’s the answer please
Answer:
put one line straight across to make a square and isosceles trapezoid and then put a line to make a triangle on top of the square diagonally to make a triangle and a quadrilateral then put put a line diagonally in the square to make two triangles.
Step-by-step explanation:
done.
Please solve this: the area of a rectangular piece of card is 56cm square.
9514 1404 393
Answer:
7 cm
Step-by-step explanation:
The formula for the area of a rectangle tells you the area is the product of length and width:
A = LW
56 = 8W
From your knowledge of multiplication tables, you know that ...
56 = 8·7
That is, W = 7 . . . cm.
The width of the card is 7 cm.
Answer:
7 cm is the answer.Step-by-step explanation:
#CarryOnLearningThe solution to (-3.9) + 1.5 - 6.2 is -8.6.
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True
False
PLEASE HELPPPP!
what is the perimeter of the triangle?
what is the area or the triangle?
Answer:
Step-by-step explanation:
Answer:
Area = 7
Perimeter = 21 m
Step-by-step explanation:
Remark
The perimeter is just the sum of the three sides of the triangle.
The Area is the base * height /2
Givens
Perimeter: Three sides: 5 + 7 + 9
height: 2 meters
Formula
Area = 1/2 Base * Height
Area = 1/2 7 * 2
Note:
Just so you know the height should be almost 5. 2 is an impossible amount for the height.
Area = 1/2 * 7 * 2
Area = 7 m^2
Perimeter = 5 + 7 + 9
Perimeter = 21
An oil refinery is located 1 km north of the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 7 km east of the refinery. The cost of laying pipe is $300,000 per km over land to a point P on the north bank and $600,000 per km under the river to the tanks. To minimize the cost of the pipeline, how far downriver from the refinery should the point P be located? (Round the answer to two decimal places.)
Sigh guys I need you more than ever before the deadline
Answer:
D) g(x)=(1/2x)²
Step-by-step explanation:
If you plug in 2 for the x in each equation, you find that only g(x)=(1/2x)² gives you a y-value of 1.
There are 58 students in a classroom with 7
tables. If 8 students can sit at a table, how
many students cannot sit down at tables?
8x7=56, so 56 students can sit at a table, 58-56=2 students without a table.
Your answer would be 2.
Answer:
2 students cannot sit down at tables.
Step-by-step explanation:
Since there are a total of 58 students and only 7 tables and each table can only fit 8 students, you'll need to calculate how many students can sit at 7 tables first:
7(8) = 56 So, with 8 students sitting at all 7 tables, there are 56 students that can sit at a table.
To find how many students can't sit at a table you'll have to subtract 56 from 58,
58-56 = 2 So, 2 students will not be able to sit down at tables.