Answer: B. (10, 50)
Step-by-step explanation:
y = 0.5(20x - [tex]x^{2}[/tex])
[tex]y=-\frac{1}{2} x^{2} + 10x[/tex]
to find x coord of vertex use the equation
[tex]\frac{-b}{2a}[/tex]
[tex]x=\frac{-10}{-1} \\\\x=10[/tex]
plug in x to the original equation
y = 0.5(20(10) - [tex](10)^{2}[/tex]
y = 0.5(100)
y = 50
Answer: (10, 50)
If overhead is applied to individual jobs at a rate of 50% of direct labor costs incurred per job, and $50,000 in direct materials were used and $25,000 of direct labor was required, what was the total cost of the job?
a) $25,000
b) $50,000
c) $12,500
d) $87,500
The total cost of the Job in the question is; D: $87,500
How to find the total Cost?
We are given that;
Direct Labor = $25000
Cost of direct materials used = $50000
Overhead is 50% of direct labor costs. Thus;
Overhead Cost = 50% * $25000 = $12500
Total Cost of Job = Overhead Cost + Materials Cost + Labor Cost
Total Cost of Job = $87,500
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Somebody please explain how to solve this by formula or theorem
[tex]\text{It is an equilateral triangle, so all angles are equal to}~ 60^{\circ}\\\\~~~~~~m\angle 2 = x+72\\\\\implies 60 = x+72\\\\\implies x = 60-72\\\\\implies x = -12[/tex]
Tell whether a triangle with the side lengths 65 feet, 72 feet, and 97 feet is a right triangle.
Answer:
when the sum of the squares of the sides are equal to the square of the hypotenuse
Step-by-step explanation:
we use Pythagoras, 97 is the hypotenuse, 65 and 72 the sides.
97² = 65² + 72²
97² = 97²
it is a right triangle
11. The exponential function given by H(t)=80,030.83(1.0481)t, where t is the number of years after 2010, can be used to project the number of centenarians in a certain country. Use this function to project the centenarian population in this country in 2013 and in 2038.
A function assigns the value of each element of one set to the other specific element of another set. The number of centenarians in the country in 2013 is 9.4175×10⁴⁵.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The exponential function that can be used to project the number of centenarians in a certain country is [tex]H(t) = 80,030.83(1.0481)^t[/tex].
Now, the number of centenarians in the country in 2013 is,
[tex]H(t) = 80,030.83(1.0481)^t\\\\H(2013) = 80,030.83(1.0481)^{2013}\\\\H(2013) = 9.4175 \times 10^{45}[/tex]
Also, the number of centenarians in the country in 2038 is,
[tex]H(t) = 80,030.83(1.0481)^t\\\\H(2038) = 80,030.83(1.0481)^{2038}\\\\H(2038) = 3.048 \times 10^{46}[/tex]
Hence, the number of centenarians in the country in 2013 is 9.4175×10⁴⁵.
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Please help me its a math problem !! please see image
Answer:
y ≤ 4
Step-by-step explanation:
Solving :
Highest y-value is 4The other y-values are less than 4Hence, the range is : y ≤ 4Identify the growth factor for the following exponential function: y= 2.3(1.32)*
A. 2.3
B. 1.32
C. X
D 32%
What is the range for the following set of measurements? 7.1 g, 9.8 g, 2.3 g, 8.5 g, 7.4 g, 5.7 g
Answer:
7.5
Step-by-step explanation:
you take the largest number (9.8) and subtract with the smallest number (2.3)
9.8-2.3= 7.5Emmet set up a bubble station for his little sister's birthday party. He filled a bubble machine and a bottle for kids to blow their own bubbles. In the bubble machine, Emmet mixed 12 ounces of dish soap and 24 ounces of water. In the bottle, he mixed 5 ounces of dish soap and 9 ounces of water. Which container had the greater ratio of dish soap to water?
Answer:
It's 5912
Step-by-step explanation:
It's 5912 cause 5912 is the answer.
VW has a midpoint at M(12, 0.5). Point V is at (10, -18). Find the coordinates of point W. Write the coordinates as decimals or integers.
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ V(\stackrel{x_1}{10}~,~\stackrel{y_1}{-18})\qquad W(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +10}{2}~~~ ,~~~ \cfrac{ y -18}{2} \right)~~ = ~~\stackrel{M}{(12~~,~~0.5)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x +10}{2}=12\implies x+10=24\implies \boxed{x=14} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y -18}{2}=0.5\implies y-18=1\implies \boxed{y=19}[/tex]
PLEASE HELP!!! NEED QUICKLY!!! WILL GIVE EXTRA POINTS AND WILL MARK BRAINLIEST!!! NEED ANSWERS TO ALL
Answer:
B and D have a horizontal line of symmetry ( their top and bottom parts match ) Some letters like X, H, and O, have vertical and horizontal lines of symmetry. some like P, R, and N have no lines of symmetry.
Step-by-step explanation:
A,. C,. D,. E,. H,. I,. M,. O,. T,. U,. V,. W,. X,. and Y have lines of reflective symmetry. Some of them have more than one.
'O' has an infinity of them.
There is no way for you to give extra points.
solve this using pythagorean theorem please and give me the right answer and i will give YOU brainliest and a like in return.
Answer:
[tex]They\ are\ 8.544\ feet\ apart[/tex]
Step-by-step explanation:
Step 1: Determine the important information
Math teacher 8 feet in front
Science teacher 3 feet to the right
Step 2: Determine how far apart the teachers are
Pythagorean theorem → [tex]a^2 + b^2 = c^2[/tex]
[tex](8)^2+(3)^2=c^2[/tex]
[tex]64 + 9 = c^2[/tex]
[tex]73 = c^2[/tex]
[tex]\sqrt{73} = \sqrt{c^2}[/tex]
[tex]8.544=c[/tex]
Answer: [tex]They\ are\ 8.544\ feet\ apart[/tex]
Determine why the triangles are congruent. Choose from SSS, SAS, ASA, AAS, and HL. If the
triangles are not congruent type NC. (Use all capitals in your answer)
Answer:
Step-by-step explanation:
The surface area of a sphere is 1,017.36 square inches. What is the volume of the sphere? Use 3.14 for pi
At Webster Elementary School, of
the fifth graders are enrolled in summer
camps. Of the students enrolled in
summer camps, 12 are enrolled in an
art camp. What fraction of the fifth
graders at Webster are enrolled in
art camp?
PLSSS HELP ME WITH MATH
Step-by-step explanation:
always remember, equations and inequalities are like a scale with 2 pans (left and right).
a variable is like a placeholder, an empty spot on the pans. and the expressions on both sides are kind of the conditions for the things to put in these empty spots so that the status of the scale stays unchanged.
for an equation the scale has to stay balanced all the time.
and in an inequality one side is heavier that the other (it normally does not matter how much heavier) with "<" or ">" signs, or the scale can be also balanced with "<=" or ">=" signs. just the other side must never be heavier.
A
so, in our case here
2x - 5 = 3
yes, the solution (the ONLY solution, actually) is x = 4. no other value of x allows the scale to be balanced.
2x - 5 >= 3
well, since it is a ">=" sign, we can be lazy and treat it like the equation above, and x = 4 is therefore a valid solution for the inequality too.
but so is every other value of x that makes the left side "heavier". what about e.g. 5 ?
2×5 - 5 >= 3
10 - 5 >= 3
5 >= 3
true, great ! so, e.g. x = 5 is also a valid solution.
what else ?
let's simplify the inequality
2x - 5 >= 3
2x >= 8
x >= 4
so, really every value of x that is greater or equal to 4 is a valid solution for the inequality.
B
-2x - 5 = 3
yes, the solution (the ONLY solution, actually) is x = -4. no other value of x allows the scale to be balanced.
-2x - 5 >= 3
well, since it is a ">=" sign, we can be lazy and treat it like the equation above, and x = -4 is therefore a valid solution for the inequality too.
but so is every other value of x that makes the left side "heavier". what about e.g. -5 ?
-2×-5 - 5 >= 3
remember, -×- = +
10 - 5 >= 3
5 >= 3
true, great ! so, e.g. x = -5 is also a valid solution.
what else ?
let's simplify the inequality
-2x - 5 >= 3
-2x >= 8
x <= -4
a multiplication or division by a negative value flips the inequality sign, because such an operation makes a light weight heavy and a heavy weight light.
so, really every value of x that is less or equal to -4 is a valid solution for the inequality.
What is the eighth term of the sequence below?
5, 9, 13, 17, …
A. 33
B. 30
C. 29
D. 34
Answer:
A. 33
Step-by-step explanation:
Add 4 to each number
1. 5 is your first number
2. 5+4= 9 is your second number
3. 9+4= 13 is your third number
4. 13+4= 17 ...
5. 17+4= 21 ...
6. 21+4= 25 ...
7.25+4= 29 ...
8.29+ 4= 33 is your eight number
#88 will give brainliest to the best response!
Answer:
Mean: 80
Mode: 81
Median:81
Step-by-step explanation:
First, let's get the set of numbers from this Stem-and-Leaf plot:
[60,61,73,75,79,81,81,81,92,96,98]. From here we can solve for the mean by adding all the numbers up and dividing it by the number of terms that we have: [tex]\frac{60+61+73+75+79+81+81+81+92+96+98}{11} = 80[/tex] when rounded to the nearest whole number. The median is the middle number of the set when arranged from least to greatest, in this case, the median is 81.
Hope this helps! :)
please answer this!!!
Step-by-step explanation:
sin60 =opp/hyp
0.86=y/20
y=17.2
cos60=adj/hyp
0.5=x/20
x=10
sin57=y/15
0.83=y/15
y=12.45
A car travels a distance of D km at 80 km/h and arrives 20 min late. If the car travels at
120 km/h, the car will arrive 20 min early. Find the value of D.
Help meee pleaseeeeeeee
Answer:
The answer to this question is letter choice E. 25%.
Step-by-step explanation:
Since 3/12 circles are shaded it would be the same as 25% or 1/4 if simplified.
A water tank measures 1.4m by 8cm by 60cm. Find the capacity of the tank in litres
Answer:
672 litres.
Step-by-step explanation:
Convert the measurements to cm:
14 m = 1400 cm
The capacity = 1400 * 8 * 60
= 672,00 cm^3
There are 1000 cm^3 in 1 litre so the answer is
672 litres.
Robert climbed 125 steps in five minutes at this rate how many steps did he average per minute
The solution is 62. We have to multiply the mixed number by the whole number. 12 1/2 is 25/2 so we now multiply by flipping the 25/2 to 2/25 and when you multiply you get 1550/25, which is 62
You asked students the survey question: How many hours did you do homework last week? The responses were 3, 10, 5, 7, 4, 8, 3, 5, 4, and 2 hours. Which statement best represents the data?
1. Most of the friends who responded did homework for 5 or fewer hours last week.
2. Most of the friends who responded did homework for more than 8 hours last week.
3. Most of the friends who responded did homework for 6 or more hours last week.
4. Exactly half of the friends who responded did homework for fewer than 6 hours last week.
Which number sentence is not true?
A. | -1 | > 1/2
B. | -1 | = -1
C. | 1/2 | < | -1 |
D. | -1/2 | < | -1 |
Answer:
Option B
Step-by-step explanation:
|-1| [tex]\neq[/tex] -1
|-1| = 1
Answer:b
Step-by-step explanation: bc it’s right
Find the coordinates of the midpoint of the line segment with endpoints at ( 6, -7) and (-3,5)
Answer:
Coordinates of the midpoint are ( 9/2 , -6 )
subtract the quotient of 15 divided by 3 from the sum of 33 and 7
Answer:
(33+7)-(15/3) = 35
Step-by-step explanation:
35
Step-by-step explanation:
fancy way of saying (33+7) - (15/3)
33 + 7 = 40
15 / 3 = 5
40 - 5 = 35
Alizeh plans on leaving her $10,000 invested for 20 years. Write an equation representing her investment’s value, y, after x years. What is the value of Alizeh’s investment after 20 years?
Answer:
$38696.84
Step-by-step explanation:
7% interest
so *1.07 per year
10,000*1.07^x=y
10,000*1.07^20=$38696.84
The equation that represent the value of Alizeh’s investment after 20 years is y = 1000(b)^20
Exponential equationThe increase in the amount of his money can be represented using the exponential function as shown:
y = ab^x
Given the following
a = 1000
x = 20 years
Substitute
y = 1000(b)^20
Hence the equation that represent the value of Alizeh’s investment after 20 years is y = 1000(b)^20
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Triangles are stacked beside each other to form a prism. which statements are true regarding the prism? check all that apply. the prism has no vertices. the prism has 9 edges. the bases of the prism are triangles. the bases of the prism are rectangles. the prism has 5 faces.
The true statements based on the information are the bases of the prism are rectangles and the prism has 5 faces.
What is a pyramid?A pyramid is defines as a polyhedron formed by connecting a base to a point known as a vertex.
The pyramid formed from stacking triangles besides each other will have vertices, even number of edges and faces
The true statements based on the information are the bases of the prism are rectangles and the prism has 5 faces.
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Answer:
B C E , edge22
Step-by-step explanation
drink some water today and remember to take a break for yourself have a wonderful dayday
I need help with part 2 on this question (Screenshot)
y
12
11
10
9
7
NWO0065
4
-12-11-10-9-8
-65
-3-2-1
1
2 3 4 5 6
8 9 10 11 12
-2
-9
-10
-11
-12
Answer:
y12111097
Step-by-step explanation:
because I know the answer