Answer:
252
Step-by-step explanation:
One way we could think about this problem is by grouping the numbers together into pairs: -103+104 would be a pair, -105+106 would be a pair and et cetera up to the pair -199+200.
As you can see, each of these pairs add to 1 (-103+104=1, -199+200=1 etc.), so to solve this problem we can simply find how many of these pairs there are and multiply the number by 1 since each pair will total to 1.
To find how many pairs there are we need to find the number of numbers between 103 and 200 (incl.) and divide it by 2.
200-103= 97 numbers, adding 1 to count the one we started with gives us 98 numbers between 103 and 200 (incl.).
98/2 = 49 pairs of numbers. Since each pair totals 1, 1x49 is the total sum of all these pairs of numbers.
Now we need to address the other two numbers. The sequence started with 101+102 before we looked at the remaining pairs, so to find the sum, we just need to add together 101+102+49.
101+102+49 = 252
Hope this helped!
Identify one reason the lower class might be more heavily represented in official crime statistics.
Lower-level offenders are more likely to be prosecuted than higher-level offenders.
What is the Working class?The working class (or laboring class) is made up of people who work in manual labor or industrial work and are paid through waged or salaried contracts. Working-class occupations include blue-collar and most pink-collar jobs (see also "Designation of workers by collar color"). Members of the working class rely solely on wage labor earnings; thus, more inclusive definitions include almost all of the working age population of industrial nations, as well as those employed in non-industrialized economies' urban areas (cities, towns, villages) or in the rural workforce. Lower-level offenders are more likely than higher-level offenders to be prosecuted.Therefore, lower-level offenders are more likely to be prosecuted than higher-level offenders.
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∠A and \angle B∠B are vertical angles. If m\angle A=(2x+19)^{\circ}∠A=(2x+19) ∘ and m\angle B=(3x-18)^{\circ}∠B=(3x−18) ∘ , then find the measure of \angle A∠A.
The measure of Angle ∠A is 93
How to find the measure of angle ∠A?The given parameters are
Angle ∠A = 2x + 19
Angle ∠B = 3x - 18
The angles are vertical angles
So, we have
Angle ∠A = Angle ∠B
This gives
3x - 18 =2x + 19
Collect the like terms
3x - 2x = 18 + 19
Evaluate the like terms
x= 37
Substitute x= 37 in Angle ∠A = 2x + 19
Angle ∠A = 2 x 37 + 19
Evaluate
Angle ∠A = 93
Hence, the measure of Angle ∠A is 93
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Find the unit rate.
650 ft².
2
____
3
Please answer!!!! Spending 100 points on this, so you get 50 points for solving. 1st person to tell me ALL 3 of the answers gets Brainliest!
Answer:
6
Step-by-step explanation:
Four fractions equal to 0.25
Can someone help me with these so I can finish my math ??
1. -23 + 14 + (-33)
2. -7 + (-19) + 32
3. 102 + (-345) + 234
4. -78 + (-56) + 679
5. 178 + (-129) + 96
6. -312 + (-154) + 283
7. -14 + (-32)
8. -50 + 35
9. -81 + (-11)
10. 121 + (-232)
Answer:
Step-by-step explanation:
1. -42
2. 6
3. -9
4. 545
5. 145
6. -183
7. -46
8. -15
9. -92
10. -111
oi i need an answer for this question what number is the blue dot imma get some woh'oh please answer
Describe two methods for assessing whether or not a distribution is approximately normal.
The two most frequent normality tests for assessing a normal distribution are Shapiro-test Wilk's and Kolmogorov-Smirnov test.
What is a normal distribution?
A probability distribution that is symmetric around the mean is referred regarded as having a "normal distribution." In certain instances, it is also referred to as the "Gaussian distribution." This demonstrates that data that are near to the mean are more common than data that are far from the mean.
The two most popular normality tests are the Kolmogorov-Smirnov test and the Shapiro-test Wilk's test.
Shapiro-Wilk test: This test looks at how normal the sample data are. To do this, the sample is organized and standardized (standardizing is the conversion of data).Kolmogorov-Smirnov test: The Kolmogorov-Smirnov test is used to assess if a sample comes from a population with a specific distribution.Therefore, Shapiro-and Wilk's Kolmogorov-Smirnov tests are the two normality tests used the most frequently to evaluate a normal distribution.
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Expand and combine like terms.
(8x^4 + 1)² =
Sharon is twice as old as Brain. In 5 years, the sum of their ages will be 25 years. Find their present ages.
Please Mark as Brainliest
Answer:
Brian is 5, and Sharon is 10
Step-by-step explanation:
CURRENT AGES:
Let b = Brian's age
Let 2b = Sharon's age
5 YEARS FROM NOW:
b + 5 = Brian's age
2b + 5 = Sharon's age
The sum will be 25
b + 5 + 2b + 5 = 25
3b + 10 = 25
3b = 15
b = 5
So Brian is 5, and Sharon is 10
Evaluate the expression 9^2 the two is small and on top of the nine
Answer:
81
Step-by-step explanation:
That's the squared symbol, it means to multiply the number by itself x amount of times. 9 times 9 = 81
Graph on the number line the following …. x >7 orx <-3
Answer:
Step-by-step explanation: Step 1: Make a table of that equation suppose x = 7. You can consider it like x+y = 7 in which x = will be 7 only and y will become 0.
Step 2: To answer this on a graph.. make all four quadrants and mark the coordinates such a the value of x = 7 should lie on the x-axis and y = 0 lies on the y-axis.
Step 3: Draw a straight line at the coordinates you got which were (7,0)
Here you go :)
Solve 5/8(x+4)=0.25.
Use fractions to solve
and write your answer.
as a mixed number.
Answer: x = 3.6
Step-by-step explanation:
Combine multiplied terms into a single fraction
\frac{5}{8}(x+4)=0.25
\frac{5(x+4)}{8}=0.25
2 Distribute
3 Multiply all terms by the same value to eliminate fraction
4 denominators
5 Cancel multiplied terms that are in the denominator
6 Multiply the numbers
7 Subtract 20 from both sides
8 Simplify
9 Divide both sides by the same factor
10 Simplify
if theirs anything else you nead help with please asck
YW please mark branlest! =^.^=
Find a general solution. show the steps of derivation. check your answer by substitution.y'=e^(2x-1)y^2
The general solution of the given equation is y² = 8x²Inx + cx².
Linear first order differential equation:A first-order linear differential equation is one that has the formula:
[tex]\frac{d y}{d x}+p(x) y=q(x)[/tex]
where p(x) and q(x) are continuous functions of x.
We begin by determining the integrating factor for the first-order linear differential equation.
I.F. = [tex]e^{\int p(x) d x}[/tex]
The solution to the first order linear differential equation is:
[tex]y \cdot e^{\int p(x) d x}=\int q(x) \cdot e^{\int p(x) d x} d x+c .[/tex]
Where c is the constant of integration.The solution to the first order linear differential equation is:
[tex]\int \frac{1}{x} d x=\ln x+c[/tex]
Where c is the constant of integration.So, given: [tex]y^{\prime}=\frac{\left(4 x^2+y^2\right)}{(x y)}[/tex]
The above differential equation can be written as:
[tex]\begin{aligned}&\frac{d y}{d x}=4 \frac{x}{y}+\frac{y}{x} \\&\frac{d y}{d x}-\frac{y}{x}=\frac{4 x}{y} \\&y \frac{d y}{d x}-\frac{y^2}{x}=4 x\end{aligned}[/tex]
Substitute, [tex]y^2=t, 2 y \frac{d y}{d x}=\frac{d t}{d x}[/tex].
[tex]\begin{aligned}&\frac{1}{2} \frac{d t}{d x}-\frac{t}{x}=4 x \\&\frac{d t}{d x}-\frac{2 t}{x}=8 x\end{aligned}[/tex]
Because this is a first-order linear differential equation, we must first determine the integrating factor:
[tex]\text { I. F. }=e^{-2 \int \frac{1}{x} d x}=e^{-2 \ln x}\\\text { I.F. } F=\frac{1}{x^2}[/tex]
As a result, the following is the general solution to the given IVP:
[tex]$$t \cdot(I . F .)=\int(I . F .) \cdot 8 x d x+c$$$t \cdot\left(\frac{1}{x^2}\right)=\int\left(\frac{1}{x^2}\right) \cdot 8 x d x+c$$t \cdot\left(\frac{1}{x^2}\right)=8 \int \frac{1}{x} d x+c$$t \cdot\left(\frac{1}{x^2}\right)=8 \ln x+c$$t=8 x^2 \ln x+c x^2$[/tex]
By reversing the value of t:
[tex]y^2=8 x^2 \ln x+c x^2[/tex]
We now test the solution by substituting [tex]y^2=8 x^2 \ln x+c x^2[/tex] it in the original differential equation.
[tex]\begin{aligned}&\frac{d}{d x}\left(y^2\right)=\frac{d}{d x}\left(8 x^2 \ln x+c x^2\right) \\&2 y \frac{d y}{d x}=16 x \ln x+8 x+2 c x \\&\frac{d y}{d x}=\frac{16 x \ln x+8 x+2 c x}{2 y} \\&\frac{d y}{d x}=\frac{8 x \ln x+4 x+c x}{y}\end{aligned}[/tex]
We calculated the value of [tex]y^2[/tex] and [tex]\frac{d y}{d x}[/tex] from the original differential equation:
[tex]\begin{aligned}&\frac{8 x \ln x+4 x+c x}{y}=\frac{4 x^2+8 x^2 \ln x+c x^2}{x y} \\&8 x \ln x+4 x+c x=8 x \ln x+4 x+c x .\end{aligned}[/tex]
Therefore, the general solution of the given equation is y² = 8x²Inx + cx².
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The complete question is given below:
For the following ODE, find a general solution, show the steps of derivation and check your answer by substitution.
[tex]y^{\prime}=\frac{\left(4 x^2+y^2\right)}{(x y)}[/tex]
Mia uses the formula πr2 to find the area of a circle. What is πr2 an example of?.
πr2 is an example of (D) a model.
What is a model?A mathematical model is a system description that employs math ideas and language. Mathematical modeling is the process of creating a mathematical model. Mathematical models are used in the natural sciences (physics, biology, earth science, chemistry), engineering disciplines (computer science, electrical engineering), and non-physical structures such as the social sciences (such as economics, psychology, sociology, political science). A large part of the field of operations research is the use of statistical equations to solve problems in business or military operations. Music, linguistics, and philosophy all use mathematical models (for example, intensively in analytic philosophy). A model is, for example, the method for the area of a circle, πr2.Therefore, πr2 is an example of (D) a model.
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The complete question is given below:
Mia uses the formula πr2 to find the area of a circle. What is πr2 an example of?
A. a robot
B. a car
C. a telescope
D. a model
Use the Angle Addition Postulate to find the measure of the unknown angle
Answer:
103
Step-by-step explanation:
61+42 = 103
If i buy a disc which costs $16,30, there's a 10% discount. how much i'm i going to pay?
The price we have to pay for the disc after 10% discount is 1467 dollars.
What is percentage ?Percentage is the value per hundredth.
According to the given question we bought a disc which costs 1630 dollars there's a 10% discount we have to find how much i have to pay.
10% of 1630 dollars will be
= (10/100) × 1630 dollars.
= 16300/100 dollars.
= 163 dollars.
So, the price we have to pay for the disc after 10% discount is
= (Total amount - Discount amount)
= ( 1630 - 163 ) dollars.
= 1467 dollars.
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What is the difference between the t568a and t568b standards? when should you use both standards?what is a patch panel used for?which cable types are immune to the effects of emi?
The termination standards used by Internet backbone infrastructure, Internet service providers, down to individual residences or companies, are T568A and T568B.
When should you employ both the T568A and T568B standards and what are their differences?
The orange and green pair order is the only distinction between T568A and T568B. Because it offers backward compatibility with both one pair and two pair USOC wiring schemes, the T568A wiring pattern is acknowledged as the ideal wiring design for this standard.What is T568B standard?
Twisted-pair network cable can be terminated in eight-pin modular connector connectors and jacks according to the wiring standards T568A and T568B. One component of the TIA/EIA-568 telecommunications cabling standards is these wiring standards.Learn more about T568B standard
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Evaluate the function.
f(x) = -x² + 7x
Find f(-1)
Answer: f(-1)=-8
Step-by-step explanation:
f(x) = -x² + 7x
f(-1)=-(-1)²+7(-1)
f(-1)=-1-7
f(-1)=-8
The length of a rectangle is twice the width. The area of the rectangle is 58 square units. What is the length and width of the rectangle.
The length and width of the given rectangle is 10.77 and 5.385 respectively.
According to the question statement, The length of a rectangle is twice the width and the area of the rectangle is 58 square units.
We are supposed to find the length and width of the rectangle.
Before solving this we need to know that the area of the rectangle is the product of its length and width,
Let's assume the length be "l" and width be "w"
Therefore Area = l*w
Now as length is twice the width so [tex]l=2w[/tex]
Area = [tex]58 square units[/tex]
Therefore [tex]l*w=58\\[/tex]
but [tex]l=2w[/tex]
[tex]2w*w = 58\\2w^{2}=58\\w^{2} = \frac{58}{2} \\w^{2}= 29[/tex]
[tex]w=\sqrt{29} \\w=5.385[/tex]
as [tex]l=2w[/tex]
[tex]l=2*5.385\\l=10.77[/tex]
Hence length l = 10.77 unit and width w = 5.385 unit
Area: Area is defined as the total space taken up by a 2D or a 3D surface or an object.To learn more about surface areas, click on the link given below.
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What is √84 simplified
The simplified form of √84 is 2√21.
To simplify the given value, first, we need to write down the prime factorization of 84.
The prime factorization of 84 = 2² × 3 × 7
Therefore,
√84 = √(2² × 3 × 7)
Applying the radical rule: √ab = √a × √b, we get
√84 = √2² × √(3 × 7)
Applying the radical rule: √a² = a, for a ≥ 0, we get
√84 = 2 × √(3 × 7)
Multiply the numbers 3 and 7 we get 3 × 7 = 21
√84 = 2 × √21
√84 = 2√21
Therefore, the simplified form of √84 is 2√21.
Refer to the attached image for the above steps.
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You put $1,000 into a savings account that pays 7% in annual interest. how much money will you have after 7 years if the account pays only simple interest?
The total amount in the bank account after 7 years will be $1490
Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. The principal amount in simple interest is constant.
The formula for simple interest = (P*R*T)/100
where P = principal amount
R = rate of interest
T = time in years
As per the question,
P = 1000
R = 7%
T = 7 Years
Simple interest will be = (1000*7*7)/100 = $490
The amount of money in the savings account at the end of 7 years will be $1000 + $490 = $1490
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(-1)^{3}]^{6} find the value of
The value of Exponent [tex](-1^{3}) ^{6}[/tex] is 1
Exponent:
A number's exponent indicates how many times we multiply a number by itself. For example, [tex]3^{4}[/tex] indicates that we have multiplied 3 four times. The expanded form is 3×3×3×3. An exponent is also known as a number's power. It can be an integer, a fraction, a negative number, or decimals.
Law of Power of a Power: [tex](x^{a}) ^{b}[/tex]=[tex]x^{ab}[/tex] {Here a,b can be an integer, a fraction, a negative number, or decimals}
Given question is [tex](-1^{3}) ^{6}[/tex]
⇒[tex](-1^{3}) ^{6}[/tex]=[tex](-1)^{6.3}[/tex]{ using Law of Power of a Power}
⇒[tex](-1)^{18}[/tex]=1 { -1 raised any even number= positive one}
Therefore,The value of Exponent [tex](-1^{3}) ^{6}[/tex] is 1
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Janet rents a booth at the farmers market that costs $150 a day. She sells jars of fresh honey from her family farm for $8 each. At the end of the day, she splits all the money she brings home with her mom who takes care of the bees. If j is the number of jars of honey sold, write a function f(j) representing how much money Janet makes each day.
The function which represents how much money Janet makes each day according to the task content is; (8j/2) - 150.
Which function represents how much money Janet makes each day?Given;
Booth rent = $150Cost of each honey jar = $8Number of jars sold = jAccording to the given parameters; the total amount of money made from honey sale is; $8 × j = $8j.
Hence, since she splits the money with her mom, it follows that her personal income is; $8j/2.
Ultimately, after paying $150 a day for the booth rental, the amount made by Janet is; $8j/2 - $150.
The required function, f(j) is therefore;
f(j) = (8j/2) - 150.
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Please help!!!! The question and answers are in the photo!!!!
Answer: x=5
Step-by-step explanation:
|x + 2| = 7
|5 + 2| = 7
|7| = 7
|7| = 7
The slope for a wheelchair ramp for a home has to be 1/2. if the vertical distance from the ground to the door bottom is 3 ft, find the distance the ramp has to extend from the home in order to comply with the needed slope. write your work in the answer box.
Answer:
6 ft
Step-by-step explanation:
slope = [tex]\frac{rise}{run}[/tex] ( rise is vertical height and run is horizontal distance )
here vertical height = 3 and slope = [tex]\frac{1}{2}[/tex] , then
[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{run}[/tex] ( cross- multiply )
run = 2 × 3 = 6 ft
Which data set is the most spread from its mean?
14, 26, 24, 28
O22, 16, 18, 36
O22, 28, 20, 22
O 21, 19, 27, 25
Option B (22,16,18,36)
Mean- Mean is an average of the data collected in the data set. It can be found by dividing the sum of the values by the number of values. Median is the middle value of the data set when the values are placed in order from least to greatest.
It is easy to calculate: add up all the numbers, then divide by how many numbers there are.
Add all the numbers (22+16+18+36) = 92
Avarage = sum of the all given numbers/ total numbers
total numbers =4
so avarage= mean= 92/4 =23
(22,16,18,36) has the most spread because one number as low as 16 and one as high as 36. Our mean is 23, so that means that the spread is huge.
Hence the answer is (22,16,18,36).
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Find the square root.
√16
√16 = ?
Arianys wants to ride her bicyle 55.5 miles this week. she has already ridden 19 miles. if she rides 5 more days, which equation could be used to determine, m, the average number of miles she would have to ride to meet her goal?
Answer:4.6 miles for 5 days
Step-by-step explanation:
37 - 14 = 23
23 divided by 5 = 4.6
Answer:4.6 miles
Step-by-step explanation: she has already ridden 14 miles so 5 mroe days is 4.6 miles
A popular car has an engine that is reported to have a
volume of 4320-
cm³
What is the size in
4320
cubic inches ?
The size of the car engine in cubic inches is 263.6 2 cubic inches
How to determine the size of the car engine in cubic inches?The given parameters are
Volume = 4320 cubic centimeters
By general conversion rule, we have
1 cubic centimeter = 0.0610237 cubic inches
Multiply both sides of 1 cubic centimeter = 0.0610237 cubic inches by 4320
4320 * 1 cubic centimeter = 0.0610237 cubic inches * 4320
Evaluate the product
4320 cubic centimeters = 263.6 2cubic inches
Substitute 4320 cubic centimeters = 263.6 2cubic inches in Volume = 4320 cubic centimeters
Volume = 263.6 2cubic inches
Hence, the size of the car engine in cubic inches is 263.6 2cubic inches
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