Answer:
15[tex]\pi[/tex]
Step-by-step explanation:
with diameter
A=[tex]\pi[/tex]d
A=[tex]\pi[/tex](15)
A=15[tex]\pi[/tex]
The manufacturer of pencils spends $0.05 to make each pencil and sells them for
0.25. The manufacturer also has fixed costs each month of $2000. Find the cost function C when x pencils are manufactured.
Answer: C(x) = 2000+ 0.05 x
Step-by-step explanation:
Hi, to answer this question we simply have to apply the next formula:
Cost (C) = fixed cost + (cost per pencil x number of pencils)
Since:
Fixed cost: $2000
Cost per pencil : $0.05
Replacing with the values given:
C(x) = 2000+ 0.05 x
Where x is the number of pencils manufactured.
Feel free to ask for more if needed or if you did not understand something.
Which expression represents a factorization of 32m + 56mp ?
Answer:
8m(4 + 7p)
Step-by-step explanation:
Take out the greatest common factor:
8m(4 + 7p)
In a certain Algebra 2 class of 25 students, 5 of them play basketball and 10 of them play baseball. There are 12 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
Probability of students who plays both baseball and basketball is [tex]\frac{2}{25}[/tex]
Step-by-step explanation:
We have given total number of students = 25
5 of them play basket ball 10 of them plays base ball
there are 12 students who neither play baseball nor basket ball
So the number of students who play either baseball or basketball is
[tex]n(A\cup B)=25-12=13[/tex], here A is for basketball and B is for baseball.
From set theory we know that
[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]
[tex]13=5+10-n(A\cap B)[/tex]
[tex]n(A\cap B)=2[/tex]
Therefore there are two students who play both baseball and basketball
Probability is equal to [tex]=\frac{2}{25}[/tex]
a rectangular rug measures 8 feet long and 12 feet wide . what is the area of the rug
Answer:
96 square feet
Step-by-step explanation:
Area= length x width
So for the rug it would be 12x8
12x8=96
Elliot is simplifying a radical. His work is shown
Which statement best applies to Elliot's mathematical work?
A. The equality V64 = 4.16 is incorrect or invalid.
B. Removing the 4 from under the radial in the second step is incorrect or invalid
C. The work shown above is correct; however, 2V16 can be simplified further.
D. The work shown above is correct; and 2V16 cannot be simplified further
Answer:
C. correct, but can be further simplified
Step-by-step explanation:
Elliot's work is correct, but he apparently failed to recognize that 64 = 8². The radical could be simplified to ...
√64 = 8
Answer:
c
Step-by-step explanation:
got it right
Put in order from greatest to svllems 12 1/2, 12.09,. 12 2/5,12.8
Answer:
12.8
12 1/2
12 2/5
12.09
The diameter of a golf ball is about four centimeters which of these is closest to the volume of a golf ball?
Answer:
33.51
Step-by-step explanation:
3.
(07.06)
Which of the following graphs shows all the possible values for a number that is less than 7? (3 points)
Number line with closed circle on 7 and shading to the left.
Number line with closed circle on 7 and shading to the right.
Number line with open circle on 7 and shading to the left.
Number line with open circle on 7 and shading to the right.
Answer:
Number line with open circle on 7 and shading to the left
Step-by-step explanation:
Since 7 is not included in "a number less than 7", the circle at 7 is an open circle.
Numbers less than 7 are to the left of 7 on the number line, so the shading will be in that direction.
Number line with open circle on 7 and shading to the left
Answer:
The third one
Number line with open circle on 7 and shading to the left.
Step-by-step explanation:
I took the test, and I got this right
Jenny has saved $600 from her summer job. During the school year, she withdraws $20 from her account every week for her daily expenses. She
wants to keep more than $300 in the account for college. The number of weeks, w, that Jenny can withdraw money from her account is
represented by the inequality 600 – 20w> 300. How many weeks can Jenny continue to withdraw $20 from her account?
A.
14
B.
17
O C.
20
D.
22
Answer:
A
Step-by-step explanation:
since she wants to keep 300 in her account first you would subtract 300 from 600 to get 300. Then you would divide it by 20 to get 15 so your answer would be a because she want's to keep at least 300 in her account.
[ Cuiu be made.
There are 24 boys for every 36 girls (24:36 ratio)
There are
boys for every
girls
try
Type in an equivalent ratio of boys and girls.
Answer:
24/36 = 12 x 2/12 x 3 = 2/3.
Step-by-step explanation:
I need help if you answer it ill make you the brainliest!!!
2x+5= 17
what is the value of X?
Which is one way to find 2/3 of a number?
A. Divide by 2 and divide by 3.
B. Multiply by 3/2
C. Divide by 3 and multiply by 2.
D. Divide by 2 and multiply by 3.
Answer:
C. Divide by 3 and multiply by 2.
Step-by-step explanation:
To find 2/3 of a number, we multiply by 2 and divide by 3
2/3 * x
This is the same as dividing by 3 and multiplying by 2
Which of the following is the image of C after a rotation of 180° about the origin?
A. (-5,2)
B. (-5, -2)
C. (-2,5)
Answer:
A: (-5,2)
Step-by-step explanation:
algebraically, a 180 rotation about the origin switches the original coordinates of (x,y) to (-x,-y), so the answer would be (-5,2) after plugging the numbers into this formula
16. The local hiking club went on a 7-day hiking trip to Denali National
Park. The group started with 98 pounds and returned with no food.
If the decreasing amount of food each day is modeled by a linear
function, what is the slope of the line?
Answer:
The slope of the line is 14 pounds per day
Step-by-step explanation:
We are given that The local hiking club went on a 7-day hiking trip to Denali National Park.
The group started with 98 pounds
We are also given that the decreasing amount of food each day is modeled by a linear function
On Day 1 amount of food = 98 pounds
Since day 7 was the last day
So, On Day 8 amount of food = 0
So,[tex](x_1,y_1)=(1,98)[/tex]
[tex](x_2,y_2)=(8,0)[/tex]
Slope = Constant Rate of change per unit
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{0-98}{8-1}[/tex]
So, Slope =[tex]\frac{-98}{7}[/tex]
Slope = - 14
Negative sign shows decreasing amount of food each day
Hence the slope of the line is 14 pounds per day
Math Help!!! ASAP!! I will give you brainliest!!
Answer:
Step-by-step explanation:
true true false
2. Solve 2 tan x + 6 = -tan x + 3 on [0, 2(pie))
Your answer
Two math students were asked to write an exeponential growth equations that had a starting value of 300 and a growth rate of 2%. Pierre thinks the answer is y=300(1.02)^x and Scott thinks that the answer is y=300(1.2)^x. Are either of them right and why?
Answer:
Pierre is right.
Step-by-step explanation:
A growth rate of 2% means that the values is increasing by 0.02 each year so the multiplying factor is 1.02.
Pierre is correct y = 300(1.02)^x.
Scotts answer 1.2 = a growth rate of 20%.
Find z1z2 if z1 = 3(cos37° + isin37°) and z2 = 2/3(cos53° + isin53°).
Answer:
[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]
Step-by-step explanation:
Both variable can be rewritten into polar form:
[tex]z_{1} = 3\cdot e^{i\cdot 0.205\pi}[/tex] and [tex]z_{2} = \frac{2}{3}\cdot e^{i\cdot 0.294\pi}[/tex]
The complex product is equal to:
[tex]z_{1}\cdot z_{2} = (3)\cdot \left(\frac{2}{3}) \cdot e^{i\cdot (0.205\pi+0.294\pi)}[/tex]
[tex]z_{1}\cdot z_{2} = 2 \cdot e^{i\cdot 0.499\pi}}[/tex]
The resultant expression in rectangular form is:
[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]
Answer:
The correct question is:
Find [tex]z_{1}.z_{2}[/tex] if [tex]z_{1}= 3(cos37 + isin37)[/tex] and [tex]z_{2}= \frac{2}{3} (cos53 + isin53)[/tex].
(Note: the angles mentioned in the equations above are in degrees)
The answer is [tex]z_{1}.z_{2}= 2i[/tex]
Step-by-step explanation:
[tex]z_{1}.z_{2}= 3(cos37 + isin37)* \frac{2}{3} (cos53 + isin53)[/tex]
[tex]z_{1}.z_{2}= (3cos37 + 3isin37)* (\frac{2}{3} cos53 + \frac{2}{3}isin53)[/tex]
[tex]z_{1}.z_{2}= 3cos37*\frac{2}{3} cos53 + 3cos37*\frac{2}{3}isin53+3isin37*\frac{2}{3} cos53+3isin37*\frac{2}{3}isin53[/tex]
[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex] (Because [tex]i*i=i^{2}=-1[/tex] & [tex]i=\sqrt{-1}[/tex])
[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex]
[tex]z_{1}.z_{2}= 2i[/tex]
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
B and E
Step-by-step explanation:
2x²-7x+3=0
2x²-x-6x-3=0
x(2x-1)-3(2x-1)=0
(x-3)(2x-1)=0
x=3 or x=1/2
What are the solutions to the equation (x − 21)2 = 25?
Answer:x=7 x=-3
Step-by-step explanation:
(x-2)^2=25
Take the Square root of both sides
(x-2)=±√(25)
x-2=±5
x=2±5
x=2+5 or x=2-5
x=7 or x=-3
The solution for the given equation is x=26 and x=16.
The given equation is (x − 21)² = 25.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The solution for the given equation can be determined as follows:
(x − 21)² = 25
⇒ (x − 21)=±√25
⇒ (x − 21)=±5
⇒ x=±5+21
⇒ x=5+21 and x=-5+21
⇒ x=26 and x=16
Therefore, the solution for the given equation is x=26 and x=16.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ6
Pls answer I give brainliest thank you! Number 4
Answer:
6
Step-by-step explanation:
I did the work but like where did that cube go lol
Answer:
1/6 would be the answer because you multiply
1/2 x 1/2 x 1/2 = 1/6
5. 2 by 2 by 1 would work
Step-by-step explanation:
10% of 20% of 30% is equal to?
Answer:
The final percent would be (10/100) x (20/100) x (30/100) = 0.006 = 0.6%
Answer:3/500
Step-by-step explanation:
10% of 20% of 30%
10/100 of 20/100 of 30/100
1/10 x 1/5 x 3/10
(1x1x3)/(10x5x10)
3/500
Tony rounded 1,143 and 1,149
Answer:
1140 and 1150
Step-by-step explanation:
If your rounding to the tens place.
The rule for rounding is to look at the digit before the one you want to round to.
So if you want to round to the nearest tens, then look at the ones.
If the digit is 0-4 round down. If 5-9 round up.
1143 rounds to 1140 because of the 3
and 1149 rounds to 1150 because of the 9.
Answer:
1200 and 1100
Step-by-step explanation:
Tony rounded each of the numbers 1183 and 1145 to the nearest hundred.
To round the number to nearest hundred , check the digit in tens place.
If the number in tens place is greater than or equal to 5 then we add 1 in hundreds place
If the number in tens place is less than 5 then we replace the remaining digits by 0
In 1183, we have 8 in tens place so 1183 is rounded to 1200
In 1145, we have 4 in tens place so 1145 is rounded to 1100
I will make you the brainliest if you can help me with my geometry homework.
Answer:
SAS
Step-by-step explanation:
Sides WV and XV on either side of angle WVX have been shown to be congruent to their corresponding parts. When you're concerned with a Side, Angle, and Side in that geometrical sequence, the SAS theorem is applicable.
What is the circumference of a circle when it has a radius of 3cm
Answer:
18.85
Step-by-step explanation:
Circumference = 2πr
=2*3.142*3
=18.85
What is the slope for the linear function y=3x-4
Answer:
3
Step-by-step explanation:
This is written in the form
y= mx+b
where m is the slope and b is the y intercept
3 is the slope and -4 is the y intercept
Which is the simplified form of m ^-8 p^0
Answer:
Step-by-step explanation:
m−^8p^0
=1/m^8
If one box plot ranges from 25 to 85 and another boxplot ranges from 128 to 188, they will have the same range of what?
Answer:
They have the same range of 60.
Step-by-step explanation:
85-25=60
188-128=60
In the figure below, which term best describes point T?
Answer:
A
Step-by-step explanation:
Find the mean, median, and mode of the data, if possible. If any of these measures cannot be found or a measure does not represent the center of the data, explain why. The cholesterol levels of a sample of 10 female employees are listed below. 130130 145145 215215 170170 165165 225225 240240 185185 130130 132132 What is the mean cholesterol level? Select the correct choice below and fill in any answer box to complete your choice. A. The mean cholesterol level is nothing. (Round to one decimal place as needed.) B. There is no mean score.
Answer:
The mean cholesterol levels
= 173873.7
Step-by-step explanation:
For The mean
The mean is going to be sum of the numbers divide by the number
Mean = (130130 +145145+ 215215 +170170+ 165165 +225225+ 240240 +185185+ 130130 +132132 )/10
Mean =1738737/10
= 173873.7
For Median
Wee arrange ascending order
130130, 130130, 132132, 145145, 165165, 170170, 185185, 215215, 225225, 240240
Median = (165165+170170)/2
Median = 335335/2
Median = 167667.5
Mode = 130130
