Find the Sum of the Odd Integers between 140 and 204
Answers
Answer: 5504
Step-by-step explanation:
This involves us finding the sum of all odd integers from 141 to 203.
We can interpret this as an arithmetic sequence with first term 141 and common difference 2.
This sequence has \(\frac{203-141}{2}+1=32\) terms.
So, the sum is:
\(32\left(\frac{141+203}{2} \right)=\boxed{5504}\)
Related Questions
A calculator was used to perform a linear regression on the values in the table. The results are shown to the right of the table. What is the line of best fit?
Answers
Answer:
the answer is c y=-3.6x+12.8
Aba takes a loanofGHS50.000from CBGL Bank. The rate of interest is 10% per annum The first instalment will be paid at the end of year 5. Determine the amount of
equal annual installments :fAba wishes to repay the amount in five installments. A. GHS19500
B. GHS19400
CGHS19310
( D None of the above
Answers
The repay amount after installment is is GHS19310.
What is Present Value?The value of a sum of money today is known as its present value.
The predicted future cashflows from an investment are discounted back to the present to determine the present value. The estimated cashflows, the number of years they will be paid over, and their discount rate are the three essential pieces of information the investor needs to make this decision.
Given:
as, From the formula for Present Value of Deferred Annuity we derive:
A=V x r/ { [1/\((1+r)^m\)] - [1/\((1+r)^{(m+n)\)] }
Here we have
V = 50000, r = 0.1, m=4 and n= 9.
Now, substituting these vales in equation we get
A = 50000 x 0.1/ { [1/\((1+0.1)^{9\)] - [1/\((1+0.1)^{(9+4)\)] }
A = 50000 x 0.1/ [ (\((10/11)^9\) - \((10/11)^{13\)]
A= 50000 x 0.1/ [ (\((10/11)^9\) - \((10/11)^{13\)]
A= 19310. 98
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14. Simon earned 400sh as a for goods sold what Commission 15,000 worth so, 600 could be his varnings for a total sale of 7,000
Answers
His total earnings for a total sale of 7,000 could be 1450sh
How to determine his earnings for a total sale of 7,000.From the question, we have the following parameters that can be used in our computation:
Salary = 400
Commission = 15%
using the above as a guide, we have the following:
Total earnings = 400 + 15% * Total sales
So, we have
Total earnings = 400 + 15% * 7000
Evaluate
Total earnings = 1450
Hence, the total earnings is 1450
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Question
Simon earned 400sh weekly for goods sold and a commission of 15%
What could be his earnings for a total sale of 7,000.
50 POINT QUESTION I WILL GIVE BRAINLIST IF CORRECT A study showe a correlation between the number of umbrellas sold at a local store and the number of days of inside recess at the nearest school. Which lurking variable would explain the correlation between the number of umbrellas sold and the number of days of inside recess?
A.the size of the gym at the school
B.the amount of rainfall in the town
C.the price of umbrellas at the store
D.the number of people wearing rain jackets
E.the distance between the school and the store
Answers
Answer:
the answer might be b why didnt i get brainlest :(
Step-by-step explanation:
two rectangular prisms, m and n, are mathematically similar. The volumes of m and n are 17cm^3 and 136cm^3, respectively. The height of N is 18 cm. Find the corresponding height of m.
Answers
The corresponding height of similar rectangular prism m is 9 centimeter.
Given that, the volume of rectangular prism m is 17 cm³ and the volume of rectangular prism n is 136 cm³.
If two solids are similar, then the ratio of their volumes is equal to the cube of the ratio of their corresponding linear measures.
The height of n is 18 cm.
Here, m³/n³ = 17/136
m³/18³ = 17/136
m³/18³ = 17/136
(m/18)³ = 1/8
(m/18)³ = (1/2)³
m/18 = 1/2
m=9 cm
Therefore, the corresponding height of similar rectangular prism m is 9 centimeter.
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Refer to image for my question
Answers
Answer:I think it Is the second
Step-by-step explanation:
The volume of a sphere is
\(125\pi\) cm3. What is the radius?
Last question.
Answers
Hi!!
Answer:
I'm not 100% sure, but I think it's 3.1.
Step-by-step explanation:
I took your volume, which is 125\(\pi\), then a formula, which is
V=\(\frac{4}{3}\)\(\pi\)\(r^{3}\), then I just plugged in the 125 and I got 3.1. I'm so sorry if it's wrong! <3
What's the total price of a $75 dinner, with an 18% tip.
Answers
Answer:
Step-by-step explanation:
Bill: $75.00
Tip: $13.50
Total: $88.50
I hope it helps and have a good day
Part A: Mrs. Konsdorf claims that angle R is a right angle. Is she correct? Explain your reasoning. Part B: If T is transformed under the rule (x,y) —> (x-1, y-2), then does T’ Form a right angle at angle GRT’?
Answers
Part A.
In order to see if R is a right angle, we need to find the slope of the line segments GR and RT.
The points G and R are
\(\begin{gathered} G=(x_1,y_1)=(-6,5) \\ R=(x_2,y_2)=(-3,1) \end{gathered}\)By substituting these point into the slope formula ,we have
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{1-5}{-3-(-6)} \end{gathered}\)which gives
\(\begin{gathered} m=\frac{-4}{3} \\ m=-\frac{4}{3} \end{gathered}\)Now, lets find the slope of the line segment RT.
The points R and T are
\(\begin{gathered} T=(x_1,y_1)=(2,6) \\ R=(x_2,y_2)=(-3,1) \end{gathered}\)then, the slope is
\(\begin{gathered} M=\frac{y_2-y_1}{x_2-x_1} \\ M=\frac{1-6}{-3-2} \\ M=\frac{-5}{-5}=1 \end{gathered}\)Finally, two lines segments are perpendicular (or in other words, R is a right angle) if one of the slopes is a negative reciprocal of the other, that is, the following equality must be fulfilled:
\(m=-\frac{1}{M}\)However, in our case, we can see that
\(-\frac{4}{3}\ne-\frac{1}{1}\)Therefore, R is not a right angle.
Part B.
We want to see if angle R is a right angle but with a new T, which is now T'. In this case, we can apply the same procedure but with the point T' as
\(T^{\prime}=(x_1,y_1)=(1,4)\)because T was (2,6) then T'=(2-1,6-2)=(1,4).
So, the new slope for the segment RT' is
\(\begin{gathered} M=\frac{1-4}{-3-1} \\ M=\frac{-3}{-4}=\frac{3}{4} \end{gathered}\)But now, we can see that
\(\begin{gathered} m=-\frac{1}{M} \\ \text{yields,} \\ -\frac{4}{3}=-\frac{1}{\frac{3}{4}} \\ -\frac{4}{3}=-\frac{4}{3} \end{gathered}\)since both number are the same, then m is the negative reciprocal of the new M, therefore, the line segments GR and RT' are perpendicular, which implies that R is a right angle.
The LCM of 168 and 980 is between???
Answers
Determine the mean,medían and mode of the following set 6,7,7,7,8,3,5,10,15,20,1,8,4,2
Answers
Answer:
Mean-103
Median-10
Mode-7
Answer:
Mean: 7.36(about)
Median: 7
Mode: 7
Step-by-step explanation:
What is bigger 1.40 or 1.42
Answers
Answer:
1.42
Step-by-step explanation:
Suppose a railroad is 2 kilometers and it expands on a hot day by 11 centimeters in length. Approximately how many meters would the center of the rail rise above the ground?
Answers
the center of the rail would rise above the ground by approximately 0.24 meters, or 24 centimeters.
How to solve?
To solve this problem, we can use the formula for the change in length of an object due to thermal expansion:
ΔL = αLΔT
where ΔL is the change in length, α is the coefficient of thermal expansion, L is the original length, and ΔT is the change in temperature.
We know that the original length of the railroad is 2 kilometers, or 2000 meters, and that the change in length is 11 centimeters, or 0.11 meters. We can also assume that the change in temperature is due to a hot day, which might raise the temperature by 10°C.
The coefficient of thermal expansion for steel, which is commonly used in railroad tracks, is about 1.2 x 10²-5 /°C.
Substituting these values into the formula, we get:
0.11 meters = (1.2 x 10²-5 /°C) x 2000 meters x 10°C
Simplifying this expression, we get:
0.11 meters = 0.24 meters
So the center of the rail would rise above the ground by approximately 0.24 meters, or 24 centimeters.
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12 points. What is 4√75 + 7√27 in simplified radical form. can you also explain ,
Answers
The simplified radical form of the given values would be = 41√3.
What is simplified radical form?A simplified radical form is defined as the expression of the radical form in the simplest way such that there is absence of square roots or cube roots.
The given expression ;
= 4√75 + 7 √ 27
= 4 √ 25 × 3 + 7 √ 9 × 3
= 4 × 5 √3 + 7 × 3 √3
= 20√3 + 21 √ 3
= 41√3
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Two dice are rolled. Determine the probability of the following. ("Doubles" means both dice show the same number.)
Rolling an even number or doubles
Answers
The probability of the Doubles" means both dice show the same number is 36.
What is probability?When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
The probabilities of these two outcomes must be added in order to get the likelihood of rolling an even number or doubles, but since we have already tallied those outcomes twice, the probability of rolling both doubles and an even number must be subtracted. The probability of rolling doubles and an even number is 1/36 since rolling two sixes is the only method to get a double and an even number.
The likelihood of rolling an even number or doubles is thus:
The formula for P(even number or doubles) is P(even number) = P(even number) + P(doubles) - P(even number and doubles) = 1/2 + 1/6 - 1/36 = 19/36.
The odds of rolling an even number or two doubles are 19/36.
Therefore, the probability of the Doubles" means both dice show the same number is 36.
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Please look at the photo. Thank you.
Answers
a) A function that gives the area of the playground (in square meters) in terms of x is A(x) = 60x - x².
b) The side length that gives the maximum area that the playground can have is x = 30 m.
c) The maximum area that the playground can have is 900 m².
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths, we have:
120 = 2(x + W)
60 = x + W
W = 60 - x
Therefore, the area of the rectangular playground (in terms of x) is given by this function;
A = LW
A(x) = x(60 - x)
A(x) = 60x - x²
Part b.
For the side length, we would take the first derivative of the area:
A(x) = 60x - x²
A'(x) = dA/dx
A'(x) = 60 - 2x
60 - 2x = 0
x = 60/2
x = 30 m
Part c.
W = 60 - x
W = 60 - 30
W = 30 m.
Therefore, the maximum area is given by;
A = 30 × 30
A = 900 m².
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GUYS DONT GO TO THIS LINK
https://www.adultpayperview.com/dispatcher/frontDoor?theaterId=7021&genreId=101&locale=en
Answers
Answer:
ok
Step-by-step explanation:
Answer:
alright thank you for the warning :)
Step-by-step explanation:
What is the slope of the function?
Answers
Answer: Your answer should be, (4)
Estimate: 23.41 ÷ 3.1
Answers
Answer:
The answer is 8
The estimated answer is eight. Here‘s what I did. First, I rounded twenty three and forty-one hundredths to twenty-three. Then I rounded three and one-tenths to three.
I couldn’t quickly find an answer to twenty-three divided by three. So, I used compatible numbers, twenty-four divided by three… which equals eight.
the store sells dried pineapple for $0.25 per ounce. mags spent a total of $2.65 on pineapple. how many ounces did she buy?
Answers
Answer: 10 .6 ounce
Step-by-step explanation:
Answer:
10.6
Step-by-step explanation:
WILL GIVE BRAINLEST Which line is most likely to have a slope of 10? HELP ASAP
Answers
A slope of 10 is the same as 10/1, so it goes up 10 and over 1. Meaning it will have a steep positive slope.
C is a negative slope and D is undefined, so those are both ruled out.
The second one isn’t steep enough to have a slope of ten.
Hope this helps :)
A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. What is the maximum area of a Norman window whose perimeter is 9 feet?
Answers
The maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.
To find the maximum area of a Norman window with a given perimeter, we can use calculus. Let's denote the radius of the semicircle as r and the height of the rectangular window as h.The perimeter of the Norman window consists of the circumference of the semicircle and the sum of all four sides of the rectangular window. Therefore, we have the equation:
πr + 2h = 9We also know that the area of the Norman window is the sum of the area of the semicircle and the area of the rectangle, given by:
A = (πr^2)/2 + rh
To find the maximum area, we need to express the area function A in terms of a single variable. We can do this by substituting r from the perimeter equation:
r = (9 - 2h)/(π)
Now we can rewrite the area function in terms of h only:
A = (π/2) * ((9 - 2h)/(π))^2 + h * (9 - 2h)/(π)
Simplifying this equation, we get:
A = (1/2)(9h - h^2/π)
To find the maximum area, we differentiate the area function with respect to h, set it equal to zero, and solve for h:
dA/dh = 9/2 - h/π = 0
Solving this equation, we find:h = 9π/2
Substituting this value of h back into the area function, we get:
A = (1/2)(9 * 9π/2 - (9π/2)^2/π) = (81π/2 - 81π/4) = 81π/4
Therefore, the maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.
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3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
Answers
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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HELPPP PLEASE!!!!!!!!!
Answers
B) 340.34cm3
PLEASE HELP ON QUESTION ASAP !
Hi please help on question.If you get answer correct is be willing to give brainliest,a thanks, five stars and 10pts.
My question:
As an analogy of a circuit with resistance, think of an obstacle race . Which parts of a circuit do the obstacles represent? which part of the circuit do the people respresent?
Answers
The electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.
In the analogy of a circuit with resistance, we can compare it to an obstacle race. Here's how we can relate the different elements:
Circuit: The entire obstacle race course represents the circuit itself. It includes all the components and paths that the participants will go through.
Obstacles: The obstacles in the race represent the resistors in the circuit. Just like resistors impede the flow of electrical current in a circuit, obstacles in the race impede the progress of the participants.
People/Participants: The people participating in the race represent the flow of electric current in the circuit. They are the "charge" moving through the circuit, encountering and overcoming obstacles (resistors) to reach the finish line.
The goal of the participants (people) is to navigate through the obstacles (resistors) and complete the race (circuit) by reaching the finish line.
Similarly, in an electrical circuit, the goal is for the electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.
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The Monday relates to the Thursday so than, the Friday relation the ….? A: Tuesday B : Saturday C : Sunday D: Monday E:
Wednesday
Answers
Answer:
The correct answer is B: Saturday.
The relationship between Monday and Thursday is that they are two days apart in a typical Monday-to-Sunday week. Similarly, Friday is also two days apart from Tuesday in a typical week, so the relationship between Friday and Tuesday would be the same as the relationship between Monday and Thursday. Therefore, the correct answer is B: Saturday.
4. Mass is measured using a
A. scale.
C. displacement.
B. glass.
D. graduated cylinder.
Answers
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
![What is the meaning of "[tex] \varphi (x,y)[/tex] be [tex] y\wedge \phi (x)[/tex] "?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/qBCO5ypO9m13MpdV66LMvZB6FUp8SIQM.png)
Answers
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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What percent of 28 is 77?
Answers
Answer:
36.3636364%
or 36.36
Step-by-step explanation:
The price on the gas pump is 1/2 the actual price. what is the actually price if the pump registers $6.54
Answers
Answer:
$13.08
Step-by-step explanation:
If the price on pump is half the actual price, we just need to double what it says
So
$6.54 x 2 = $13.08