Answer: The Answer is "less than"
Step-by-step explanation:
To find the sum of a series, you find the difference between the first and last term, multiply that by the number of terms, then divide by 2.
For the even numbers, 2 is the first term and 200 is the 100th term (because 2+(100-1)2 is equal to 200). So, (100(2+202)/2 = 10100.
For the odd numbers, 1 is the first term and 201 is the 101th term (because 1+(101-1)2 is equal to 201). So, (101(1+202))/2 = 10251.5.
10100<10251.5 so the sum of the first 100 even numbers is less than the sum of the first odd 101 numbers.
The sum of the first 100 even natural numbers is smaller than the sum of the first 101 odd natural numbers.
What is an even number?A number that is divisible by two into two equal whole numbers is called an even number. Even numbers are those that end in 0, 2, 4, 6, and 8.
The problem can be solved using the arithmetic sequence. The sum of the first 100 even numbers will be,
[tex]\text{Sum of first 100 even numbers} = \dfrac{100}{2} \times [2(2) +(100-1)2]=10,100[/tex]
The sum of the first 101 odd numbers will be,
[tex]\text{Sum of first 101 odd numbers} = \dfrac{101}{2} \times [2(1) +(101-1)2]=10,201[/tex]
Hence, the sum of the first 100 even natural numbers is smaller than the sum of the first 101 odd natural numbers.
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Please help. 3. What is the approximate perimeter of △ABC?
15 units is wrong btw, I already tried that.
The perimeter of a triangle is the sum of the lengths of all the sides of a triangle. The perimeter of the given triangle ABC is 14.2 units.
Distance between two points x and y can be calculated using the formula : √(x²+y²)
∴ Length of AB =[tex]\sqrt{(3-(-1))^{2}+(4-1)^{2} }[/tex]= [tex]\sqrt{4^{2} +3^{2} }[/tex] = 5
Length of BC = [tex]\sqrt{((-1)-(-2))^{2}+(1-5)^{2} }[/tex] = [tex]\sqrt{1^{2}+(-4)^2 }[/tex] = √17
Length of AC = [tex]\sqrt{(3-(-2))^{2}+(4-5)^{2} }[/tex] = [tex]\sqrt{5^{2}+(-1)^2 }[/tex] = √26
Perimeter of triangle ABC = Length of AB +Length of BC + Length of AC
= 5 + √17 +√26
= 5 + 4.123 + 5.099
= 14.222
≅ 14.2
Therefore, the approximate perimeter of ΔABC is 14.2 units.
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Mr. Matthews is conducting job interviews. He has 5 candidates for a teaching job and must choose 3 of them to go on to the second round of interviews. How many possible combinations of individuals exist?
A) 5
B) 8
C) 10
D) 12
Answer: 10
Step-by-step explanation:
In the triangle below, what is the length of the side opposite the 60° angle?
A. 3 sq root of 3
B. 3
C. Square root of 3
D. 6
Answer: B
Step-by-step explanation:
(opp/hyp)=sin60
opp=2sqr(3)x(sqr(3)/2)
opp=3
For each inequality, write all one-digit integers that satisfy it.
k>0
Final answer:
To find all one-digit integers satisfying the inequality k > 0, we list every positive one-digit integer from 1 to 9, as these are the numbers that are greater than zero and meet the conditions of the inequality.
Explanation:
The question asks to identify all one-digit integers that satisfy the inequality k > 0. This inequality means that k must be greater than 0. Since we are only considering one-digit integers, we need to list all the numbers from 1 to 9, as these are the positive one-digit integers.
1
2
3
4
5
6
7
8
9
Each of these numbers is greater than 0 and thus satisfies the inequality k > 0. Numbers that are zero or negative do not meet the requirement of the inequality.
Substitute 6 for x and evaluate the expression below. 4(x - 10) + 2
Answer:
-14
Step-by-step explanation:
4(x - 10) + 2
Let x = 6
4(6-10)+2
Parentheses first
4(-4) +2
Multiply and divide
-16+2
-14
Answer: -14
Step-by-step explanation:
4 (6 - 10) + 2
First, we do whats in the parenthesis.
6 - 10 = -4
4 * -4 = -16
-16 + 2 = -14
Circle P is below
What is the arc measure of the minor arc BC in degrees?
Answer:
131
Step-by-step explanation:
Please mark the other person Brainliest.
Work out the percentage change when a price of £20 is increased to £50.
Answer:
The percentage change from 20 to 50 is 150 %
Step-by-step explanation:
(50 - 20) / 20) * 100 = 150 %
Answer:
150%
Step-by-step explanation:
Let's say the 20 increased by x%. Then, we can write the equation:
20 + x% * 20 = 50
Notice that both terms on the left side have 20, so we can factor this out:
20 * (1 + x%) = 50
Divide both sides by 20:
1 + x% = 50/20 = 2.5
Subtract 1 from both sides:
x% = 1.5
Remember that % simply means "out of 100", so x% = x/100:
x/100 = 1.5
Multiply both sides by 100:
x = 150
Thus, the percent increase is 150%.
Hope this helps!
please help! you have to find the surface area of the inage below!
What type of data would be best displayed in a dot plot
Answer:
Dot plots work very well for data with a small number of values. They would not work well for large sets of data, because a dot would need to be plotted for each value. Histograms or box plots are more useful for large sets of data.
Step-by-step explanation:
Answer:
or is there answer choices
Step-by-step explanation:
The dot plot are used for unvariate data. This is the data that has only one variable that us being measured. The type of plot is very useful if there is only one variable and the variable is categorical and can be quantified. Categorical variables can be organized and split into categories.
Help easy points not hard
Answer:
17.5 cm
Step-by-step explanation:
I don’t know how to solve this. Can anyone help me get the answer and the work
If you have to check whether a number is a solution of a given equation, just plug that number in the equation and see if you get something true or false.
For example, the first option claims that -2 and 6 are solutions to the equation.
Let's check it! If we substitute [tex]x=-2[/tex] in the equation we get
[tex]3(-2)^2-34(-2)-24 = 12+68-24=56 \neq 0[/tex]
So, -2 isn't a solution to this equation. Let's check 6:
[tex]3(6)^2-34(6)-24 = 108-204-24=-120 \neq 0[/tex]
So, 6 isn't a solution either.
Keep going like this and you'll find the correct set of solutions.
Answer:
{ - [tex]\frac{2}{3}[/tex], 12 }
Step-by-step explanation:
We can solve the equation by factoring it
3x² - 34x - 24 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 × - 24 = - 72 and sum = - 34
The factors are - 36 and + 2
Use these factors to split the x- term
3x² - 36x + 2x - 24 = 0 ( factor the first/second and third/fourth terms )
3x(x - 12) + 2(x - 12) = 0 ← factor out (x - 12) from each term
(x - 12)(3x + 2) = 0
Equate each factor to zero and solve for x
x - 12 = 0 ⇒ x = 12
3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - [tex]\frac{2}{3}[/tex]
Thus the solution set is { - [tex]\frac{2}{3}[/tex], 12 }
What is the value of n in the equation below?
StartFraction 12 Superscript n Over 12 Superscript 5 EndFraction = 12 Superscript 4
Negative 20
Negative 9
9
20
Answer: I am pretty sure that the correct answer is 9.
Step-by-step explanation:
Answer:
the answer is 9
Step-by-step explanation:
got it right on edge 2021
Factor 54c–9d. Write your answer as a product with a whole number greater than 1
Answer:
9(6c - d)
Step-by-step explanation:
[tex]54c - 9d \\ = 9 \times 6c - 9d \\ = 9(6c - d) \\ [/tex]
A survey of voters explored the relationship between the ages of voters and whether or not they support building skateboard ramps at a local park. (3 points)
Round answers to the nearest whole percent.
1. What percentage of surveyed voters in the 58 and over age group are in favor to building skateboard ramps?
2. What percentage of surveyed voters in the 18-37 age group are opposed of building skateboard ramps?
3. What is the percentage of the total number of people that are in favor to building skateboard ramps?
Below is the complete question:
A survey of voters explored the
relationship between the ages of voters
and whether or not they support building
skateboard ramps at a local park.
Chart:
Age In Favor Opposed Total
18-37 40 10 50
38-57 27 23 50
58 and 6 44 50
over
Total 73 77 150
Answer:
1. 12%
2. 20%
3. 49%
Step-by-step explanation:
Please kindly check the attached files for explanation:
Steve completed 9 homework problems in class. The function p(m) relates the time (in minutes) Steve spent on his homework at home to the total number of problems he completed. The input is the number of minutes worked. The output is the number of problems completed.
p(m) = m/6 + 9
Which equation represents the inverse function m(p), which uses problems completed as the input and gives minutes worked as the output?
A. m(p) = 54p + 6
B. m(p) = 6p + 54
C. m(p) = 54p - 6
D. m(p) = 6p - 54
Answer:
D. m(p) = 6p - 54
Step-by-step explanation:
substitute p(m) for y and p for x
then switch x and y
y=x/6 + 9
then switch
x=y/6 + 9
then solve to get the answer
which is y=6x-54
or m(p) = 6p - 54
Solve: 12^2 + 4x = 0
Answer:
Step-by-step explanation:
12² + 4x = 0
144 + 4x = 0
subtract 144 from both sides
144 + 4x - 144 = 0 - 144
4x = -144
divide both sides by 4
[tex]\frac{4x}{4}=\frac{-144}{4}\\\\x=-36[/tex]
Your sister helped you get a dream job at a designer clothing store and one of the perks of the job is that you get 15% off all clothing that you buy at their store. During your first month of employment you purchased $235 tax-free (before the discount) worth of clothing from the designer store. You worked 25 hours during that month at $9.50 an hour and they deducted 15% of your total paycheck for deductions. Did you still make money in your first month of employment regardless of how much you spent at their store for designer clothes? How much? Show your work.
Answer:
$197.30 revenue.
Step-by-step explanation:
As long as we realise that 15% = $237.50 total revenue - 15% of that revenue $40.20 and the other 15% was totaled prior and kept to one side as seen as expenditure.
revenue = r clothing purchase = p
r = (25 x 10 -12.50) - (p15% of e235)
r = (250 - 12.50) -( e235- p23.5 +11.73)
r = (237.50) - (expenditure 235- p35.73)
r = 237.50 -(expenditure 199.27)
r= 237.50
e = 199.27
p = 35.73
Answer with out including expenditure your sister revenue was $237.50
The 15% deduction cannot be confused with the deduction from clothes.
If we were to calculate 15% of $237.50 this would be 23.7+ 16.85 =$40.2
A different Salary related 15% contribution payments = $40.20
If these were taken from $237.50
Then $237.50- $40.20 = $197.30 revenue, but we do not have to show expenditure in the total only the workings, which is still owed being $199.27- $40.20 already paid towards.
Extension = This means because $40.20 was deducted then expenditure still to be deducted outside of the question would be e. $199.27 - $40.20 = 159.07 still owed. Saying that the 15% was to pay your sisters contribution to the clothes and not to the state.
is a triangle with side lengths of 4,5, and 6 inches a right triangle?
Answer:
yes it can make a right triangle
Step-by-step explanation:
The equation 3 – 1∕2x = –1∕2x + 3 has what type of solution set?
Question 5 options:
A)
No solutions
B)
One solution
C)
Infinitely many solutions
D)
Two solutions
Answer:
A
Step-by-step explanation:
this is because the Values are the same and x is not a known value
Answer: one solution
Step-by-step explanation: {y,x} = {-4,-2}
Just trying to help because he put the wrong answer lol
give an example of proportional reasoning
Answer:
An example of something proportional is a woman's tiny feet to her short stature. An example of something proportional is the amount of pay a worker gets for the hours that they put in.
Step-by-step explanation:
Hope this helped
:)
-7 + 10Z > -27
Helpppppo
Answer:
Z > -2
Step-by-step explanation:
-7 + 10Z > -27
Add 7 to each side
-7 +7+ 10Z > -27+7
10Z > -20
Divide each side by 10
10Z/10 > -20/10
Z > -2
WILL MARK BRAINLIEST:
A pool has a platform in the middle that is "a" units from the pool in all directions. If the area of the pool is 6a²+16a+10, find the area of the platform.
a = -5/2 = -2.500
a = 2/3 = 0.667
Theres 2 solutions. but hope i helped:)
Answer:52a+10 or 62aor62
Step-by-step explanation:
Find the value of the following expression:
(38 ⋅ 2−5 ⋅ 90)−2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 328 (5 points)
Write your answer in simplified form. Show all of your steps
Answer:
-3 . 15^12
Step-by-step explanation:
(38·2 - 5·90) - 2 · ( 2^-2 / 3^3 ) - 4· 3^28
( 190 - 450 ) - 2 · (0.25/27) - 9.15^13
-260 · -2 (0.25/27 ) - 9.15 ^ 13
(-260 · -0.02) - 9.15 ^13
5.2 - 9.15^ 13
-3 . 15^12
Answer:
-3 . 15^12
Step-by-step explanation:
Select all statements that are true of polynomials:
5a²b – 6ab3c + 3a5 is a fifth degree polynomial.
2b-6ab3c + 3a5 has a leading term of 5.
5a²b – 6ab3c + 3a5 contains three terms.
12x – 10x5 – 7 + 3x4 is equivalent to -10x5 + 3x4 + 12x -
12x - 10x5 – 7 + 3x4 has a leading term of -10x5.
12
105 72.4
Answer:
The Statements have been categorized and explanation given.
Step-by-step explanation:
The following statements are true
[tex]5a\²b - 6ab^3c + 3a^5[/tex] is a fifth degree polynomial.
The degree of a polynomial is the highest power in the polynomial, therefore, [tex]5a\²b - 6ab^3c + 3a^5[/tex] is a fifth degree polynomial.[tex]5a\²b - 6ab^3c + 3a^5[/tex] contains three terms.
This is true. The terms are: [tex]5a\²b, - 6ab^3c, 3a^5[/tex][tex]12x -10x^5 - 7 + 3x^4[/tex] is equivalent to [tex]-10x^5 + 3x^4 + 12x -7[/tex]
The second polynomial is a basic rearrangement of the first polynomial, therefore the statement is true.[tex]12x - 10x^5 - 7 + 3x^4[/tex] has a leading term of [tex]-10x^5.[/tex]
The leading term is the term containing the highest power. The highest power is 5 and the term containing it is [tex]-10x^5.[/tex]FALSE
[tex]2b-6ab^3c + 3a^5[/tex] has a leading term of 5.
The leading term of this polynomial is [tex]3a^5[/tex]
Rounded to the nearest tenth, approximately how many ounces is 82.4 kilograms?
A. 233.6 ounces
B. 290 ounces
C. 2,336 ounces
D. 2,900.5 ounces
82.4 kilograms is approximately 2906.6 ounces, to the nearest tenth. None of the given answer choices are correct.
Explanation:The question asks for the approximate value in ounces of 82.4 kilograms, rounded to the nearest tenth. The conversion factor from kilograms to ounces is approximately 35.274. Therefore, we multiply 82.4 kg by this conversion factor to convert the weight to ounces.
To perform the calculation, use this formula: 82.4 kg × 35.274 oz/kg. After multiplication, we obtain a result of 2906.6288 ounces. Finally, rounding to the nearest tenth, the value is approximately 2906.6 ounces.
Without being an option, we can say that none of the given answer choices are correct.
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Analyze the dot plots. What is the difference between the medians of the two data sets? mm
Answer:
4
Step-by-step explanation:
Answer:
4 i think, i am taking the test and i got it right ;P
Talia is solving the following equation.
7x - 4 = 31
Which shows a step Talia can use to solve the equation?
A.
7x - 4 = 31 + 4
B.
7x - 4 + 4 = 31 + 4
C.
7x - 4 - 4 = 31 - 4
D.
7x - 4 = 31 - 4
Answer:
b, 7x-4+4=31+4
Step-by-step explanation:
you always want to start by isolating the x value, which means that you have to get rid of any outside numbers. by adding four, you are getting rife of the four. but, you have to add the four on the other side to keep it equal.
If the sales tax rate in California is 7.25% then how much would you pay in Los Angeles for a pair of shoes that cost 39.00?
Answer:
41.83
Step-by-step explanation:
39 x .0725)+ 39 = 41.827, rounded up = 41.83
Trigonometric ratios in rig triangles pls help
Answer:
D. 35/12
Step-by-step explanation:
[tex] \tan( \alpha ) = \frac{35}{12} \\ [/tex]
HELP ILL GIVE MOST BRAINLY AND 20 POINTS
Answer:
Your answer is correct. (x-4)^2 = 3
Step-by-step explanation:
x^2 - 8x + 13 (is not a perfect square so you need to move the 13 to the right by subtraction)
x^2 - 8x + ____ = -13 (In order to get A, divide the second coefficient by 2. That would be -4 in this case. Now we need to square A to find the constant. That would be 16)
(x^2 - 8x + 16) = -13 + 16 (Whatever we do on the left we add on the right, -13+16 = 3)
(x-4)^2 = 3