Answer:
F: 18
Step-by-step explanation:
find total amount of points
43 + 7 = 50
subtract half of 50 to find the midpoint
43 - 25
18
L = 18
Answer:
25
Step-by-step explanation:
distance divide 2 , 50/2 = 25
Cedrick is writing a report. It takes him 4 min to type 5/8 page of the report. At this rate, how many minutes does it take cedrick to type 1 full page of the report?
Answer:
It will take 6.4 minutes for Cedrick to type 1 full page of the report.
Step-by-step explanation:
1. First, we want to find out how long it takes Cedrick to type 1/8 of a page. If it takes him 4 minutes to write 5/8 of a page, we can do 5/8 divided by 5, which equals 1/8. We also have to divide 4 by 5 which equals 4/5. So, it takes Cedrick 4/5 of a minute to write 1/8 of a page.
2. We now want to find out how long it takes him to write one page, so we should multiply 1/8 and 4/5 by 8. 1/8 times 8 equals one, and 4/5 times 8 equals 32/5. That means that it takes 32/5 (in decimal form it is 6.4) minutes to write one page of the report.
Cedrick will type one whole page of the report in 6.4 minutes.
What is an expression?Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that Cedrick is writing a report. It takes him 4 min to type 5/8 pages of the report.
In the beginning, we need to ascertain how long it takes Cedrick to type 1/8 of a page. We can do 5/8 divided by 5 to get 1/8 if it takes him 4 minutes to write 5/8 of a page.
Additionally, we must divide 4 by 5, which is 4/5. Cedrick, therefore, needs 4/5 of a minute to complete 1/8 of a page.
We need to multiply 1/8 and 4/5 by 8 to get how long it takes him to write one page. 8 divided by 1/8 = 1, while 8 multiplied by 4/5 equals 32/5.
This suggests that writing one page of the report requires 32/5 (6.4 in decimal form) minutes.
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The figure shows three tennis balls in a can with each tennis ball having a diameter of 2.5 inches. What is the total volume of the air space around the three tennis balls?
The total volume of the air space of spherical ball is A = 12.265625 inches³
Given data ,
Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.
The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.
The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.
The formula for the volume of a cylinder is:
V = πr²h
V = ( 3.14 ) ( 1.25 )² ( 7.5 )
V = 36.796875 inches³
where V is the volume, r is the radius, and h is the height.
So, the volume of the one ball is:
V₁ = ( 4/3 )π(1.25)³
V₁ = 8.177083 inches³
The total volume of three balls is = volume of 3 spherical balls
V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches
Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³
A = 12.265625 inches³
Hence , the volume of air space is A = 12.265625 inches³
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f(x)=(Power[x,2]+x)Power[e,-x]
am,sorry,no se si esta bien:(
Anne purchased a car insurance policy which has an annual premium of $703.80. If she pays the annual premium in 12 equal monthly installments, what will be the amount of each monthly payment? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place valueAnne purchased a car insurance policy which has an annual premium of $703.80. If she pays the annual premium in 12 equal monthly installments, what will be the amount of each monthly payment? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:snuts
Step-by-step explanation:
Answer:
the answer is 58.65
Step-by-step explanation:
pls pls help! ik it’s super simple but i’m slow
2(3.x - 2y) + 3(x - 3y)
Answer:
9x - 13y
Step-by-step explanation:
1. Here is our problem:
2(3x - 2y) + 3(x - 3y)
2. Let distribute the "2"
2(3x) - 2(2y) + 3(x - 3y)
3. Let distribute the "3"
2(3x) - 2(2y) + 3(x) - 3(3y)
4. Multiply
6x - 4y + 3x - 9y
5. Simplify common terms (x)
9x - 4y - 9y
6. Simplify common terms (y)
9x - 13y
7. There we have it! Have a good day :]
Need some help on this question please provide evidence on how you came up with the answer aswell.
Answer:
No and No
Step-by-step explanation:
Squaring a odd, whole, number results in a even number 99% of the time with the only exception being 1 (1^2 equals 1). If m is 3 and n is 5, mn would be 15, so if both m and n are odd they don't always equal a even number.
Answer:
Step-by-step explanation:
If we are dealing with whole real numbers.
Both answers are based on the same idea.
The product of two numbers is even only if at least one of the two multiplicands is even.
The square of an odd number can only result in an odd number. The reverse is true as well. The square root of an odd number can only be an odd number.
This comes from number theory where multiplication is the repeated addition of one number a certain number of times.
If the first number is even, then every time you add itself again results in an even number, It does not matter if you add an even or odd number of times.
If the first multiplicand is odd, the sum of two odd numbers is always even, adding a third odd multiplicand again results in an odd number, the fourth is even, the fifth is odd, the pattern continues forever. The summation of an even number of odd multiplicands results in an even number. The summation of an odd number of odd multiplicands results in an odd number.
A bicyclist ride 28 miles in 4 hours . At the same rate how many miles will she bicycle in 7 hours
Hello
To solve this question, we can easily equate both sides.
\(\begin{gathered} 28\text{mi}=4hr \\ \text{xmi}=7hr \end{gathered}\)Cross multiply both sides and solve for x.
\(\begin{gathered} 4\times x=28\times7 \\ 4x=196 \\ \text{divide both sides by the coefficient of x} \\ \frac{4x}{4}=\frac{196}{4} \\ x=49 \end{gathered}\)From the calculations above, she will cover 49 miles in 7 hours.
A banker estimated a customer's worth to be $127,000. The customer was actually worth $120,000.
Find the percent error.
A. 5.5%
B. 5.6%
C. 5.7%
D. 5.8%
Get 50 points for an answer and brainlyiest for explination
Answer:
B
Step-by-step explanation:
y=2x-4 and y=x+1 substitution
The value of x is 5 and the value of y is 6.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the two equations are y=2x-4 and y=x+1. The two equations can be solved as below,
y=2x-4 and y=x+1, Equate both the equations and solve for the value of x,
2x-4 =x+1
2x - x = 4 + 1
x =5
y=x+1
y = 5 + 1 = 6
Hence, the value of x is 5 and the value of y is 6.
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3. What is slope of the line above?
4. What is slope of the line above?
help!
A baseball player hits a home run. A spectator observes the trajectory of the ball and expresses the height of the ball using the equation s(t)= -(t-15) + 225. Calculate the instantaneous velocity of the ball at t=4 seconds where the distance is measured in meters.
A. 44 m/sec
B. 30 m/sec
C. 26 m/sec
D. 22 m/sec
Answer:
The appropriate solution is Option D (22 m/sec).
Step-by-step explanation:
The given equation is:
\(s(t)= -(t-15)^2 + 225\)
Now,
The instantaneous velocity at t = 4 will be:
= \([-2(t-15)(1)+0]\)
= \(-2(4-15)\)
= \(-2\times (-11)\)
= \(22 \ m/sec\)
Thus, the above is the correct option.
You deposit $750 into a savings account Thats pays 2.75% simple interest for 4 years. How much interest was earned?
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Two datasets arranged in descending order are; {8, , 4,1} and {9, , 5,2}. If the medians of the two given datasets are equal, what is the value of ( − )2?
We have been given that two datasets arranged in descending order are: \(\{8, x, 4,1\}\) and \(\{9, y, 5,2\}\). We are asked to find the value of \((y-x)^2\), if the medians of the two given datasets are equal.
First of all, we will arrange our given data sets in ascending order.
\(\{1,4,x,8\}\) and \(\{2,5,y,9\}\)
Since our data sets have 4 data points, so median will be average of middle two terms.
\(\frac{4+x}{2}\) and \(\frac{5+y}{2}\)
Now we will equate both median as we are told that median of both data sets are equal.
\(\frac{5+y}{2}=\frac{4+x}{2}\)
Cross multiply:
\(2(5+y)=2(4+x)\)
Divide both sides by 2:
\(\frac{2(5+y)}{2}=\frac{2(4+x)}{2}\)
\(5+y=4+x\)
\(5-5+y-x=4-5+x-x\)
\(y-x=-1\)
Let us square both sides of our equation.
\((y-x)^2=(-1)^2\)
\((y-x)^2=1\)
Therefore, the value of \((y-x)^2\) would be 1.
Select the correct answer.
Function bis nonlinear, and b(9) = 4. Which equation could represent function b?
The nonlinear- function which represents b(9)=4 is given by b(x)=72/x - 4 .
In mathematics and physics, a nonlinear system is one in which the change in the output is not proportional to the change in the input. Engineers, biologists, physicists, mathematicians, and many other scientists are interested in nonlinear problems since the majority of systems are inherently nonlinear.
Nonlinear function graphs don't resemble lines at all. It contains the formula f(x) = ax + b. Its equation can take any form, with the exception of f(x) = ax + b. The slope of the curve is the same between any two points. The point pairs on the graph do not all have equal slopes.
Of all the given options: the only equations which imply that b(9)=4 are :
i) b(x)=72/x - 4 and (iv) b(x)=4
Of this two options only the first option is non-linear.
Hence the required option is b(x)=72/x - 4 .
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Disclaimer:
The missing options are:
i) b(x) = 72/x - 4
ii) b(x) = √x + 7
iii)b(x) = 2x+1
iv) b(x) = 4
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-2(8x-1)=5(1-3x)
What is the answer to this equation?
Answer:
x= -3
Step-by-step explanation:
−2(8x−1)=5(1−3x)
Step 1: Simplify both sides of the equation.
−2(8x−1)=5(1−3x)
(−2)(8x)+(−2)(−1)=(5)(1)+(5)(−3x)(Distribute)
−16x+2=5+−15x
−16x+2=−15x+5
Step 2: Add 15x to both sides.
−16x+2+15x=−15x+5+15x
−x+2=5
Step 3: Subtract 2 from both sides.
−x+2−2=5−2
−x=3
Step 4: Divide both sides by -1.
−x
−1
=
3
−1
x=−3
A map has a scale of 1 centimeter:8 kilometers.
Use the given actual distance to find the distance
on the map: 4 km
Answer:
Step-by-step explanation:
I think it is 29.3 I am really not sure.
For what values of theta do maximum r-values occur on the graph the polar equation r = 2 cos4 theta? Note that the maximum r-value occurs at a point that is the maximum distance from the pole
Answer:r=2 cos^4(theta)
Step-by-step explanation:To find the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta), we need to find where the derivative of r with respect to theta is equal to zero, since the maximum r-values occur at these points.
First, we can simplify the equation by using the identity cos(2theta) = 2cos^2(theta) - 1 and substituting cos^2(theta) = (1 + cos(2theta))/2. This gives:
r = 2 cos^4(theta) = 2(1/2 + 1/2 cos(2theta))^2 = 1 + cos(2theta) + cos^2(2theta)/2.
Next, we can take the derivative of r with respect to theta, using the chain rule:
dr/dtheta = -sin(2theta) - 2cos(2theta)sin(2theta).
Setting this equal to zero and factoring out sin(2theta), we get:
sin(2theta)(-1 - 2cos(2theta)) = 0.
This equation is satisfied when sin(2theta) = 0 or cos(2theta) = -1/2.
When sin(2theta) = 0, we have 2theta = k*pi for some integer k. Therefore, theta = k*pi/2.
When cos(2theta) = -1/2, we have 2theta = 2*pi/3 + 2*k*pi or 2theta = 4*pi/3 + 2*k*pi for some integer k. Therefore, theta = pi/3 + k*pi or theta = 2*pi/3 + k*pi.
These are the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta).
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
The equation have the same solution as 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p
How to determine the equations that have the same solution?Given: 2.3p – 10.1 = 6.5p – 4 – 0.01p.
Using this given property, let's write the equation
We can subtract like terms (6.5p– 0.01p = 6.49p) to get:
2.3p – 10.1 = 6.5p – 0.01p – 4
2.3p – 10.1 = 6.49p – 4
Also, we can multiply both sides of the algebraic equation by 100:
(2.3p – 10.1) x 100 = (6.5p – 4 – 0.01p) x 100
230p – 1010 = 650p – 400 – p
Therefore, the equations have the same solution as 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p. The 2nd and 3rd options are the answers
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A certain disease has an incidence rate of 0.8%. If the false negative rate is 6% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease.
The probability that a person who tests positive actually has the disease is approximately 0.194.
What exactly is probability?
Probability is a measure of an event's possibility or chance of occurring. It is stated as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event. Probabilities ranging from 0 to 1 reflect occurrences that are probable but not guaranteed.
P(A) denotes the probability of an event A as the ratio of the number of possibilities that favour event A to the total number of potential outcomes. In other words, it is the number of possible outcomes for event A divided by the total number of possible outcomes.
Now,
To compute the probability that a person who tests positive actually has the disease, we can use Bayes' theorem, which states that:
P(A|B)=P(B|A)*P(A)/P(B)
where A and B are events, P(A | B) is the probability of event A when event B has occurred, P(B | A) is the probability of event B when event A has occurred, P(A)= prior probability of event A, and P(B) = prior probability of event B.
In this case, let A be the event of having the disease and B be the event of testing positive.
The incidence rate of the disease is 0.8%, which means that P(A) = 0.008.
The false negative rate is 6%, which means that P(B' | A) = 0.06 (where B' is the complement of event B, i.e., testing negative given that the person has the disease).
The false positive rate is 3%, which means that P(B | A') = 0.03 (where A' is the complement of event A, i.e., not having the disease).
We can compute P(B) using the law of total probability:
P(B) = P(B|A)*P(A) + P(B|A')*P(A')
= (1-P(B'|A))*P(A)+P(B|A')*(1-P(A))
= (1 - 0.06) * 0.008 + 0.03 * (1 - 0.008)
= 0.0328
Now we can use Bayes' theorem to compute P(A | B):
P(A | B) = P(B | A) * P(A) / P(B)
= (1 - P(B' | A)) * P(A) / P(B)
= (1 - 0.06) * 0.008 / 0.0328
= 0.194
Therefore,
the probability will be 0.194.
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A cone with a diameter of 16 centimeters has a volume of 320(pie)cubic centimeters. Find the height of the cone.
A cone with a diameter of 16 centimeters has a volume of 320π cubic centimeters, the height of the cone is 15 cm.
What is volume of cone?A cone should be emptied at a time after being filled with water. The cylinder is filled to a third with each cone. Since there are three of them, the cylinder will be filled. As a result, the volume of a cone is equal to one-third of the volume of a cylinder.
Cone volume is calculated using the method V=1/3πhr².
Given that,
diameter(d) = 16 cm
radius (r) = d/2 = 8 cm
volume = 320π cubic centimeters
πr²h/3 = 320π
or, [π × (8)² × h]/3 = 320π
or, h = (3 × 320)/(8)²
or, h = 15 cm
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What is the Coefficient of 10x²
\(10 \: is \: the \: coefficient \: \)
There are eggs in a dozen. If a farmer's chickens produce an average of dozen eggs in a month, how many eggs are reported per month?
Complete Question:
There are 12 eggs in a dozen. If a farmer's chickens produce an average of 423 dozen eggs in a month, how many eggs are reported per month?
Answer:
The eggs reported per month are:
= 5,076 eggs.
Step-by-step explanation:
a) Data and Calculations:
A dozen eggs = 12 pieces of eggs
Average of dozen eggs produced in a month = 423
Therefore, the eggs that are reported per month should average 5,076 (12 * 423)
b) The arrangement or measurement of eggs in dozens makes it easier to calculate the number of eggs produced in the farm each period. The result is obtained by multiplying the average of dozen eggs produced by 12.
what would be the area of the triangle if the base of the triangle is 6 pi long height is three units long
Answer: Area = 56.52 units
Step-by-step explanation:
Pi = 3.14
Area of triangle formula is base x height divided by 2.
6 (3.14) = 18.84
18.84 x 3 = 56.52 units
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What is the solution to the equation given the replacement set?
25 - 3r = 10; {3, 4, 5, 6,}
Responses
3
4
5
6
Answer:
r = 5
Step-by-step explanation:
25 - 3r = 10 ( subtract 25 from both sides )
- 3r = - 15 ( divide both sides by - 3 )
r = 5
the solution from the replacement set is 5
Please Solve (c-3)^2=100
Answer:
BODMAS RULE
(c-3)²=100
c²-6c+9=100
c²-6c=100-9
c²-6c=91
c²-6c-91=0
then factories
If the table of the function contains exactiy two potential turning points, one with an input value of -1,which statement best describes all possible values of m
If "u" varies directly with "v," and u = 6
when v = -7, what is "u" when v = 4
9514 1404 393
Answer:
u = -3 3/7
Step-by-step explanation:
The new value of v is 4/-7 = -4/7 of the old value. Because u varies directly, its new value will also be -4/7 of the old value.
u = -4/7(6) = -24/7
u = -3 3/7
Solve. Write or draw to explain. Amy has 12 stickers. Jen has 9 stickers. They place 7 stickers on each page of a book. How many pages are in the book? Math Spot thpicks
Answer:
There's 3 pages in the book
Step-by-step explanation:
You add both of the amounts of stickers (12+9=21), then you divide by the amount on each page (21÷7=3)
Hope this helped!
foreign direct investment helps improve the economic situation of a recipient country by increasing —- opportunities in the country that the company invests in.
Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.
When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.
Increased employment opportunities result in more individuals having access to income and improved standards of living.
Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.
Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.
Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.
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