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
How much water will a cone hold that has a diameter of 6 inches and height of 21 inches. Use 3.15 pie and round your answer to the nearest whole number
Answer:
volume = 595 in³
Step-by-step explanation:
radius = 6/2 = 3
volume = 3.15(3²)(21) = 595.35 in³
please answer asap!
which inequality matches this graph?
Answer:
D
Step-by-step explanation:
The point on the Number line is a closed( shaded circle) So it will include a greater than or equal sign. Since the arrow is pointing right it will be B is greater than/ equal to 135. if the arrow was pointing the opposite way it would be less than or equal to symbol.
help me please aaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
v=-16
Step-by-step explanation:
-2=2+v/4
(we know that 2+-4=-2 so we can see if that works)
(4*-4=-16)
2+-16/4=-2
(-16/4=-4)
2+-4=-2
Which correlation coefficient would most likely show a weak negative association?
A: -0.07
B: -0.88
C: 0.09
D: 0.91
Answer:
Step-by-step explanation:
We can use the regression line to model the linear relationship between x and y ... x and y because the correlation coefficient is not significantly different from zero. ... If r is significant and the scatter plot shows a linear trend, the line can be used to ... If r < negative critical value or r > positive critical value, then r is significant.
Amiera has 3/4 of a bag of cat food. Her cat eats 1/10 of a bag per week. How many weeks will the food last?
Answer:
Step-by-step explanation: lets say the fod is chicken 3/4 is 75 out of 100 1/10 out of 100 is 10 lets see how many times we can take 10 out of 75 .
you can do it 7 time because 7 rimes 10 is 70 meaning that you have 7 weeks
and half a week hope this helps B)
Ben's living room is a rectangle measuring 12 yards by 192 inches by how many feet does the length od the room exceed the width?
Y=x^(2)-12x+36
Please explain step by step
Step-by-step explanation:
♡︎♡︎♡︎♡︎♡︎♡︎♥︎♥︎♡︎♥︎
The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3years and 4months at 18% per annum.Find the sum
Answer:
Step-by-step explanation:
The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3years and 4months at 18% per annum.Find the sum
The formula for Simple Interest = PRT
From above question, we have to find the Principal
The simple interest on a certain sum for 5years at 8% per annum is Rs200
Hence,
R = 8%
T = 5 years
Rs 200 = P × 8% × 5
P = 200/8% × 5
P = Rs500
The principal = Rs 500
The simple interest on the same sum for 3years and 4months at 18% per annum.
Simple Interest = PRT
R = 18%
T = 3 years and 4 months
Converted to years
T = 3 + (4 months/12 months)
T = 3.33 years
Hence,
Simple Interest = Rs 500 × 18% × 3.33 years
= Rs 299.7
If an official NBA basketball has a circumference of 29.5 inches, what is the approximate volume in cubic inches?
19.66
92.34
321.75
433,63
Around 433.63 would be the correct answer
The enrollment in 1st period band class went from 20 to 26 in a month. Find the percent change.
Answer: the answer is 4/7 your welcome
Plzzz help me asappp I’m begging you
I don’t know I need help
Answer:
[B] 9.8 Cubic FeetExplanation:
Formula: πr²ʰ⁄₃Radius: 1.9
Height: 2.6
π: 3.14
Formula: V = 1.9²ʰ⁄₃ = 3.14 · 1.9² · 2.6 / 3 = 9.829Round: 9.8
Given Triangle ABC if sides AB is congruent to side AC, and angle B = 5x +9 , C = 8x-30 Then, find the value of X
Answer:
x = 13
Step-by-step explanation:
When we say side AB is congruent to Side AC it means both side are the same.
This is written Mathematically as:
AB = AC
We are asked to find x
angle B = 5x +9 , angle C = 8x-30
5x + 9 = 8x - 30
Collect like terms
9 + 30 = 8x - 5x
8x - 5x = 30 + 9
3x = 39
Divide both sides by 3
x = 39/3
x = 13
If y varies directly with x. and y=10 when x=5.6, find the value of y when
X=3
Answer: 5.3571
Step-by-step explanation:
The formula used to calculate direct proportion is: y = kx
We will find the constant of proportionality when y=10 and x=5.6. This will be:
y = kx
10 = 5.6k
k = 10/5.6
k = 1.7857143
The value of y when X=3 will be:
y = kx
y = 1.7857143 × 3
y = 5.3571
Mihn invested $1,479.81 last year. What is the place value of the 8 in 1,479.81?
thousands
tens
tenths
thousandths
Do you know the answer toPart A: 25% of 50 = Part B: 25% of 60 = Part C: 50% of 60 = Part D: 75% of 60 = Part E: 75% of 30 = Part F: 100% of 22.5 = Part G: 10% of 22.5 = Part H: 50% of 45.7 =
Answer:
Part A: 25% of 50 = 12.5
Part B: 25% of 60 = 15
Part C: 50% of 60 = 30
Part D: 75% of 60 = 45
Part E: 75% of 30 = 22.5
Part F: 100% of 22.5 = 22.5
Part G: 10% of 22.5 = 2.25
Part H: 50% of 45.7 = 22.85
Step-by-step explanation:
To find - Do you know the answer to
Part A: 25% of 50 =
Part B: 25% of 60 =
Part C: 50% of 60 =
Part D: 75% of 60 =
Part E: 75% of 30 =
Part F: 100% of 22.5 =
Part G: 10% of 22.5 =
Part H: 50% of 45.7 =
Proof -
Part A :
25% of 50 = [tex]\frac{25}{100} *50[/tex] = [tex]\frac{1}{4}*50[/tex] = 12.5
⇒25% of 50 = 12.5
Part B :
25% of 60 = [tex]\frac{25}{100} *60[/tex] = [tex]\frac{1}{4}*60[/tex] = 15
⇒25% of 60 = 15
Part C :
50% of 60 = [tex]\frac{50}{100} *60[/tex] = [tex]\frac{1}{2}*60[/tex] = 30
⇒50% of 60 = 30
Part D :
75% of 60 = [tex]\frac{75}{100} *60[/tex] = [tex]\frac{75}{10}*6[/tex] = 45
⇒75% of 60 = 45
Part E :
75% of 30 = [tex]\frac{75}{100} *30[/tex] = [tex]\frac{75}{10}*3[/tex] = 22.5
⇒75% of 30 = 22.5
Part F :
100% of 22.5 = [tex]\frac{100}{100} *22.5[/tex] = 22.5
⇒ 100% of 22.5 = 22.5
Part G :
10% of 22.5 = [tex]\frac{10}{100} *22.5[/tex] = 2.25
⇒ 10% of 22.5 = 2.25
Part H :
50% of 45.7 = [tex]\frac{50}{100} *45.7[/tex] = [tex]\frac{1}{2}*45.7[/tex] = 22.85
⇒50% of 45.7 = 22.85
system of equations ... SOLVE ASAP PLEASE.
Answer:
Step-by-step explanation:
Solve 2x−9y=14;−5x+9y=−8
Steps:
I will solve your system by substitution.
(You can also solve this system by elimination.)
2x−9y=14;−5x+9y=−8
Step: Solve2x−9y=14for x:
2x−9y+9y=14+9y(Add 9y to both sides)
2x=9y+14
2x
2
=
9y+14
2
(Divide both sides by 2)
x= 9
2
y+7
Step: Substitute
9
2
y+7forxin−5x+9y=−8:
−5x+9y=−8
−5(
9
2
y+7)+9y=−8
−27
2
y−35=−8(Simplify both sides of the equation)
−27
2
y−35+35=−8+35(Add 35 to both sides)
−27
2
y=27
−27
2
y
−27
2
=
27
−27
2
(Divide both sides by (-27)/2)
y=−2
Step: Substitute−2foryinx=
9/ 2
y+7:
x= 9/ 2 y+7
x= 9/ 2 (−2)+7
x=−2(Simplify both sides of the equation)
Answer:
x=−2 and y=−2
Infanite many solutions
answer the picture first then answer my second question lot of points
The angle measures in a triangle are 25°, 135°, and 20°. What type of triangle is it?
A. isosceles triangle
B. obtuse triangle
C. right triangle
D. acute triangle
Answer:
ec and obtuse triangle
Kosey needs to get 80% of his
questions correct on his math test
to get a B for the quarter. If his
test has 60 questions, how many
questions will he need to get right?
Answer:
48 questions
Step-by-step explanation:
There are 60 questions on the test
to see how many questions he needs to solve to get 80% we multiply 60 with 80 and divide it by 100
60 x 80 ÷ 100 = 48
Solve the system of equations by substitution. * -8x + 2y = 4 y = 4x + 2
Answer:
Step-by-step explanation:
-8x + 2y = 4
y = 4x + 2
Put the value of y into the first equation
-8x + 2(4x + 2) = 4 Remove the brackets
-8x + 8x + 4 = 4 The 8xs cancel out.
4 = 4 But this is useless. There is no single solution
The measure of angle 1 is 65 degrees. What are the measures of the other seven angles? (Enter the
number only)
Help I need big brains for it and I need it fast please help please
Answer:
See solution below
Step-by-step explanation:
According to the diagram shown
m<1 = m<5 = 5=65 degrees (corresponding angle)
m<5 = m<4 - 65 degrees (alternate interior angle)
m<9 = m<8 = 65degrees (corresponding angle)
m<5 = m<8 = 65dgrees (vertically opposite angles)
m<6+m<8 = 180
m<6 + 65 = 180
m<6 = 180 - 65
m<6 = 115degrees
m<2 = m<6 = 115degrees (corresponding angles)
m<6 = m<7 = 115degrees (vertically opposite angles)
m<3 = m<7 = 115degrees(corresponding angle)
)
The measures of the other seven angles are evaluated as:
[tex]m\angle 1 = 65^\circ = m\angle 5\\m\angle 2 =115^\circ = m\angle 6\\m\angle 3 =65^\circ = m\angle 7\\m\angle 4 = 115^\circ =m\angle 8[/tex]
What are supplementary angles?Two angels whose sum is 180° are called supplementary angles.
When they are added together graphically, they form a straight line.
What are vertical angles?Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. They are of same measurement.
What are corresponding angles?In literal sense, corresponding means pair wise angles. Like the right corner angles of two triangles etc. But usually we take them as:
For two similar figures, the pair by pair similar angles of those two similar figures are called corresponding angles. They are of same measurement.
For this case, we have:
Angle 1,2,3 and 4 corresponding to 5,6,7 and 8 angle respectively. It is because the two lines A and B are parallel and the traversing line intersects both of them. When single line intersect two parallel lines, it makes same corresponding angles on both of the sides. That means
[tex]m\angle 1 = m\angle 5\\m\angle 2 = m\angle 6\\m\angle 3 = m\angle 7\\m\angle 4 = m\angle 8[/tex]
where that small 'm' denotes that we're taking about their measurements.
Thus, we will only find 1,2,3,and angle 4's measurements and rest four would be found.
Since angle 1 and angle 4 are vertical angles, they are same measurement. Since angle 1 is of 65 degrees, thus:
[tex]m\angle 1 = 65^\circ = m\angle 4[/tex]
Now, since angle angle 3 is supplementary to angle 1 and so as angle 2 to angle 4, thus:
[tex]m\angle 2 + m\angle 4 = 180^\circ\\m\angle 2 = 180-m\angle 4= 115^\circ\\\\m\angle 3 + m\angle 1 = 180^\circ\\m\angle 3 = 180-m\angle 1= 115^\circ[/tex]
Thus, we get the measurement of all angles as:
[tex]m\angle 1 = 65^\circ = m\angle 5\\m\angle 2 =115^\circ = m\angle 6\\m\angle 3 =65^\circ = m\angle 7\\m\angle 4 = 115^\circ =m\angle 8[/tex]
Learn more about corresponding angles here:
https://brainly.com/question/23134162
Help me please , will mark
SOMEONE HELPP PLSS QUICK
In what direction is the line containing the point (3, 3) and (1,3) going?
Answer:
Horizontal (Braniest pls)
Step-by-step explanation:
Since (3,3) and (1,3) is on the same line, it is moving horizaontally (Braniest pls)
Please help me I am having a hard time with this activity
Answer:
Step-by-step explanation:
b.
[tex]\frac{a^2+6a+9}{a^2-9} *\frac{3a-9}{a+3} \\=\frac{a^2+2*a*3+3^2}{a^2-3^2} *\frac{3(a-3)}{a+3} \\=\frac{(a+3)^2}{(a+3)(a-3)} *\frac{3(a-3)}{a+3} \\=\frac{3(a+3)^2}{(a+3)^2} \\=3[/tex]
d.
[tex]\frac{3x^2-6x}{3x+1} *\frac{x+3x^2}{x^2-4x+4} \\=\frac{3x(x-2)}{3x+1} *\frac{x(1+3x)}{x^2-2x-2x+4} \\=\frac{3x(x-2)}{3x+1} *\frac{x(1+3x)}{x(x-2)-2(x-2)} \\=\frac{3x(x-2)}{3x+1} *\frac{x(1+3x)}{(x-2)(x-2) } \\=\frac{3x^2}{x-2)}[/tex]
e.
[tex]\frac{2x^2-10x+12}{x^2-4} *\frac{2+x}{3-x} \\=\frac{2[x^2-5x+6]}{x^2-2^2} *\frac{2+x}{-(-3+x)} \\=\frac{2[x^2-2x-3x+6]}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2[x(x-2)-3(x-2)]}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2(x-2)(x-3)}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2}{-1} \\=-2[/tex]
k.
[tex]\frac{6x^2-11x-10}{6x^2-5x-6} *\frac{6-4x}{25-20x+4x^2} \\=\frac{6x^2-15x+4x-10}{6x^2-9x+4x-6} *\frac{-4x+6}{4x^2-10x-10x+25} \\=\frac{3x(2x-5)+2(2x-5)}{3x(2x-3)+2(2x-3) } *\frac{-2(2x-3)}{2x(2x-5)-5(2x-5)} \\=\frac{(2x-5)(3x+2)}{(2x-3)(3x+2)} *\frac{-2(2x-3)}{(2x-5)(2x-5)} \\=\frac{-2}{2x-5}[/tex]
Calculate the radian measure of a 30 degree angle. Use any method you like, including sketching in the circle diagram provided. Explain or show your reasoning.
Answer:
The radian measure of 30° is [tex]\frac{\pi}{6}[/tex] radians.
Step-by-step explanation:
A complete revolution equals 360°, that is, 2π radians. If the given angle is 30°, then the value of the radian measure is calculated by the following simple rule of three:
[tex]x = \frac{30^{\circ}}{360^{\circ}}\times 2\pi[/tex]
[tex]x = \frac{\pi}{6}\,rad[/tex]
The radian measure of 30° is [tex]\frac{\pi}{6}[/tex] radians.
Someone please help I’m begging you
Answer:
Graphical method
Please answer with explanation
Answer:
2000 feet.
Step-by-step explanation:
Let the length of fence need be x feet.
Then we have the equation:
2lx = 19x + 4000
21x - 19x = 4000
2x = 4000
x = 2000.
Help I will mark brain list!!!!!
Answer: I'm not sure exactly how you want this answered.
Step-by-step explanation:
Just by simplifying the expression, I got [tex]\frac{a^{2}xy }{2} +a^{3}x-\frac{3x^{2} y}{5} -ay^{2}[/tex]
Included picture
Question is not hard so please answer correctly
Answer:
SometimesStep-by-step explanation:
The product of two irrational numbers is sometimes rational.Answer:
sometimes
Step-by-step explanation:
The following examples to illustrate
[tex]\sqrt{2}[/tex] is irrational
[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2 ← which is rational
[tex]\sqrt{3}[/tex] is irrational and
[tex]\sqrt{2}[/tex] × [tex]\sqrt{3}[/tex] = [tex]\sqrt{6}[/tex] ← which is irrational
Result is therefore sometimes
The radius of a circle is 5 m. Find its circumference in terms of \piπ.
Answer: C≈ 31.42m
C=2πr=2·π·5≈31.41593m
Step-by-step explanation: hope this helps
Round to the nearest tenth.
7.61577310586
Answer:
7.6
Step-by-step explanation:
1is less than 5 so let it rest