Answers
Notice that
13 - 9 = 4
17 - 13 = 4
so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :
149 = 9 + 4k
140 = 4k
k = 140/4
k = 35
This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.
Put another way, we have
[tex]\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=0}^{35} (9 + 4k)[/tex]
but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.
[tex]\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k-1=0}^{35+1} (9 + 4(k-1))[/tex]
[tex]\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=1}^{36} (5 + 4k)[/tex]
Related Questions
The triangles pictured below are:
Congruent by AAS
Congruent by AAS
Congruent by HL
Congruent by HL
Congruent by SSS
Congruent by SSS
Congruent by SAS
Congruent by SAS
Congruent by ASA
Congruent by ASA
Not Congruent
Not Congruent IMAGE BELOW
Answers
Answer:
NOT CONGRUENT
Step-by-step explanation:
Angle Side Side doesnt work so it is not congruent
what is 2 equivalent fractions of this 2/5=_=_
Answers
Answer:
4/10, 6/15, 120/300, etc.
Equivalent fractions can be anything, as long as they divide to .4 (2/5).
Basically any equivalent fraction
[tex]\frac{2*n}{5*n}[/tex]
with n as any integer, is an equivalent fraction to 2/5 since
[tex]\frac{2*n}{5*n}=\frac{2}{5}*\frac{n}{n}=\frac{2}{5}*1=\frac{2}{5}[/tex]
Answer this by 4:20 EST and I will mark brainliest
Answers
Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, a ) and (x₂, y₂ ) = (9, - 4 )
m = [tex]\frac{-4-a}{9-6}[/tex] = [tex]\frac{-4-a}{3}[/tex]
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
2x - 3y = 6 ( subtract 2x from both sides )
- 3y = - 2x + 6 ( divide through by - 3 )
y = [tex]\frac{2}{3}[/tex] x - 2 ← in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex]
Parallel lines have equal slopes , then
[tex]\frac{-4-a}{3}[/tex] = [tex]\frac{2}{3}[/tex] , so
- 4 - a = 2 ( add 4 to both sides )
-a = 6 ( multiply both sides by - 1 )
a = - 6 → A
X- y = -7 slope intercept form
Answers
Answer:
[tex]y=x+7[/tex]
Step-by-step explanation:
Let's simply rearrange bringing y to the RHS, -7 to the LHS and reading right to left:
[tex]x+7=y \rightarrow y=x+7[/tex]
On a human, what is the ratio of arms to fingers?
Answers
Ratio:-
[tex]\\ \sf\longmapsto \dfrac{2}{20}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{10}[/tex]
[tex]\\ \sf\longmapsto 1:10[/tex]
A store sells laptops for $720 each. This price is 20 percent more than what it cost the store to buy each of them. Before the next model's release, store employees can purchase any remaining laptops at 23% off the store's cost. How much would it cost an employee to purchase one of these laptops at the sale? PLS HELP
Answers
It would cost an employee $443.52 to purchase one of these laptops at the sale.
The selling price of the laptops is $720 each. The cost price is 20 percent more than the cost price.
Cost price = Selling price - 20% of cost price
Cost price = 720 - 20% * 720 = $576
At the release, the laptops are at 23% off the store's cost. Hence:
Price of laptop at release = 576 - 23% of 576
Price of laptop at release = $443.52
It would cost an employee $443.52 to purchase one of these laptops at the sale.
Find out more at: https://brainly.com/question/20286603
2
2
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Question 2 (1 point)
1) Listen
5
Opening an industry to international competition tends to:
O increase X-inefficiency.
O force lazy monopolists to increase efficiency.
O increase the incidence of lazy monopolists.
raise a monopolist's profit as the price is driven up.
Answers
Answer:
increse X-inefficiency is the answer
Step-by-step explanation: im here to help
Given the equation y=|x| complete the table of values
Answers
Answer:
2,1,0,1,2
Step-by-step explanation:
It takes 6 hours to clean and detail a luxury car. During the morning of
cleaning, the workers were able to clean for 4 hours. If the variable t stands
for the amount of time the workers have left to clean the windows after lunch,
which of the following units could apply to this variable?
Answers
Is 7,301,771 divisible by 6?
Answers
[tex]\huge\boxed{Hi\: there!}[/tex]
[tex]\huge\mathfrak{Question:}[/tex]
Is 7,301,771 divisible by 6?
[tex]\huge\mathfrak{Answer:}[/tex]
No.
Remember, divisible by means the given number can be divided by a number without a remainder.
If we divide 7,301,771 by 6, we will get a remainder.
[tex]\huge\boxed{Therefore,\: 7,301,771 \: isn't \: divisible\: by 6.}[/tex]
[tex]\huge\mathfrak{Good\: luck!}\\\huge\bold {~CheerfulTeen}[/tex]
When two numbers are multiplied to get product, each number is called a(n)?
1.factor
2.substitute
Answers
Answer:
Each number is called a factor
Step-by-step explanation:
The multiplication of two numbers is equivalent to adding as many copies of one of them
7 1/2 divided by 2 5/8 in simplest form
Answers
Answer:
[tex]2\frac{6}{7}[/tex]
Step-by-step explanation:
First you have to convert the mixed numbers to an improper fraction which first let's do the top so that would be: [tex]\frac{\frac{15}{2}}{2\frac{5}{8}}[/tex]
Next, lets do the bottom of that so that would become: [tex]\frac{\frac{15}{2}}{\frac{21}{8}}[/tex]
After that you have to apply the fraction rule [tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex] so that would be: [tex]\frac{15\cdot \:8}{2\cdot \:21}[/tex]
Towards the end, you have to cancel out that equation so then it becomes: [tex]\frac{20}{7}[/tex]
Finally, you convert the improper fractions to mixed numbers so that is now: [tex]2\frac{6}{7}[/tex]
Have a great day!
After divide, the value in simplest form is, 20/7.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
⇒ 7 1/2 divided by 2 5/8
Now, Divide the numbers as;
⇒ 7 1/2 divided by 2 5/8
⇒ 15/2 ÷ 21/8
⇒ 15/2 × 8 / 21
⇒ 15×8 / 2×21
⇒ 5×4/7
⇒ 20 / 7
Learn more about the divide visit:
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Find the domain of the graphed function.
Answers
Answer:
A
Step-by-step explanation:
the domain is all the possible numbers that the x can be, so to find this from the graph you find the x-value of the leftmost point, which is -1 in this case, and the x-value of the rightmost point, which is 3. this means the range of values would be -1 <= x <= 3
PLEASE HELP I WILL GIVE BRAINLESS!!!!) Some friends play history trivia. Players gain 1 point for a correct answer. Players lose 1 point for an incorrect answer. The player with the greatest score wins. The players’ scores are shown in the table.
Answers
Answer:
Brett, Riley, Ellema, Jennifer, Kamal, Felipe
Step-by-step explanation:
You have put their scores least to greatest, -7<-5<-1<0<1<2<3
Subtract the following decimals
1. 19.87 - 8.54
2. 7.93 - 2.03
3. 96.6 - 88.5
Answers
Answer:
the answer is
1. 11.33
2. 5.9
3. 8.1
How do you solve radical word problems
Answers
Answer:
1) Isolate the radical symbol on one side of the equation
2) Square both sides of the equation to eliminate the radical symbol
3) Solve the equation that comes out after the squaring process
4) Check your answers with the original equation to avoid extraneous values
Step-by-step explanation:
Salt water gargle can temporarily relieve a sore throat. One recipe calls for 3/4 teaspoon of salt in 1 cup of water. A second recipe calls for 1 teaspoon of salt in 2 cups of water. Which recipe will taste saltier?
Answers
Answer:
The first recipe - 3/4 tsp of salt in 1 cup of water
Step-by-step explanation:
1st recipe Salt per cup = 3/4 tsp / 1 cup = 3/4 tsp salt
2nd recipe Salt per cup = 1 tsp / 2 cups = 1/2 tsp salt
3/4 tsp > 1/2 tsp, hence the first recipe is saltier
Write a number using the following clues:
a multiple of 6
greater than 40, but less than 90
Answers
Answer:
48
Step-by-step explanation:
There are various multiples of 6 that are greater than 40, but less than 90. Including 42, 48, 54, 60, 66, 72, 78, and 84. :)
Find the perimeter and area of this polygon. (Geometry)
Answers
Answer:
rectangle= 22*9 = 198ft
triangle=11*10 = 110 ft
110+ 198 = 308 polygon
2/3 divided by 10
PLEASE answer
Answers
Answer:
1/15
Step-by-step explanation:
2/3 x 1/10 = 2/30 or 1/15
Answer:
1/15
Step-by-step explanation:
Explain why and show how the expression -x might represent a positive number, a negative
number, or even 0.
Answers
What is the solution to the trigonometric inequality sin(x)>1+cos(X) over the interval 0<=x<=2pi radians?
Answers
Answer:
Last choice
Step-by-step explanation:
First, convert (sinx)^2 to 1-(cosx)^2 via trigonometric identity derived from (sinx)^2 + (cosx)^2 = 1
[tex]\displaystyle \large{\sin^2x + \cos^2x=1 \longrightarrow \sin^2x=1-\cos^2x}[/tex]
Thus, the rewritten inequality is [tex]\displaystyle \large{1-\cos^2x>1+\cos x}[/tex]
Notice how the inequality has a quadratic pattern since we have (cosx)^2 and cosx in the inequality, simply arrange degrees in order.
[tex]\displaystyle \large{1-\cos^2x>1+\cos x}\\\displaystyle \large{0>1+\cos x-1+\cos^2x}\\\displaystyle \large{0>\cos x+\cos^2x}\\\displaystyle \large{\cos^2x+\cos x < 0}[/tex]
Then we factor cosx since the expression has cosx as a common factor.
[tex]\displaystyle \large{\cos x(\cos x+1)<0}[/tex]
Then we have to consider each inequalities which are cosx<0 and cosx+1<0 then merge both intervals once obtaining the solutions.
(1) [tex]\displaystyle \large{\cos x < 0}[/tex]
This inequality means that we have to find the x-value(s) that satisfy(ies) it.
Since cosx becomes negative after π/2 (Refer to unit circle, cosx becomes negative in second quadrant and this quadrant), that means it becomes negative until it reaches or < 3π/2.
Thus, [tex]\displaystyle \large{\frac{\pi}{2}<x<\frac{3\pi}{2}}[/tex] is the solution to cosx > 0.
The another way to solve inequality is to find the intersections by solving the equation then joint the interval together.
[tex]\displaystyle \large{\cos x<0 \longrightarrow \cos x=0}[/tex]
From the unit circle, cosx becomes 0 at x = π/2 and x = 3π/2 between interval [0,2π]
Therefore:
[tex]\displaystyle \large{\cos x = 0 \longrightarrow x = \frac{\pi}{2}, \frac{3\pi}{2}}\\\displaystyle \large{\boxed{\frac{\pi}{2}<x<\frac{3\pi}{2}}}[/tex]
(2) [tex]\displaystyle \large{\cos x+1<0 \longrightarrow \cos x <-1[/tex]
For this inequality, it appears that there have no solutions because cosine function is defined between [-1,1] in range hence there are no x-values in real plane that make cosx even less than -1.
Because only π satisfies cosx = -1 but not cosx < -1, we restrict π and every values.
Hence no solutions which cause a break of interval between π and π/2 < x < 3π/2
If you substitute x = π in, the inequality is false and therefore the answer is:
[tex]\displaystyle \large{\frac{\pi}{2}<x<\pi, \pi<x<\frac{3\pi}{2}}[/tex]
Answer:
D.
Step-by-step explanation:
The first two don't work, so it's between the last two.
This equation doesn't work for 180, so the answer is the last choice.
:)
8 times the sum of a number 4 is 5 with the variable w
Answers
Answer:
8(w+4)=5
Step-by-step explanation:
The quotient of 2 numbers, p and q
Answers
Answer:
2p/q
2q/p
q/p=2
p/q =2
Step-by-step explanation:
Here are some possible answers. The way your statement is formated in does not ask a question nor does it provide enough information for one to deduce what the question was.
mr karki divides a sum of Rs 180000 between his son and daughter in the ratio of 4:5 find the sum obtained by each of them
Answers
Answer:
Step-by-step explanation:
Sorry no one answered your question sooner. First Let x = what the daughter receives
Then 180000 - x is what the son will receive. Notice that if you add these together you get the total, 180000. You write a proportion and cross multiply to solve. Since x = 80000, the son will receive 80000. The daughter will receive 100000.
HURRY HELP PLEASE! SERIOUS ANSWERS ONLY!
Living Space?
You have the opportunity to live in a 3 bedroom 3.5 bath on Miami Beach in a Luxury Condo or in Laurel Mississippi in a 5-bedroom 7 bath home. Money for either is not an issue. The only stipulation is that you and your present family situation will remain intact. Given your present situation, which would you choose and why? (Students will receive full credit for their completion of the project; steps 2 and 3)
1. Look up property and amenities
a. Condo on: unaresidencemiami.com/price-list
b. Home on: 2230 Ridgewood Dr, Laurel, MS 39440 (type in address)
2. Look up the community in which EACH is located
3. Solve for the intersection of the two properties (two variable systems of equations using the
cost and the Square Footage as the variables)
a. Condo: $2.2 million / 1946 sq feet
b. House : $.3 million / 4681 sq feet
4. Which would you choose and why?
Answers
Answer:
The Mississippi home
Step-by-step explanation:
I would get the Mississippi home because it has 5 bedrooms with 7 bathrooms, it would be a great home for a family and guest to go to. and it also depends on the condition of the home and the amount of people in you family.
does y vary directly with x? if it does write an equation for the direct variation.
Answers
Answer:
No it does not
Step-by-step explanation:
Two points simplify to 1/6 whilst the other, 1/5
after a party 3/4 cake is leftover. Dennis eats 1/2 of the leftover cake. Which fraction model represents the amount of cake Dennis eats?
Answers
8 to the 2 power-28/4+2?
Answers
Answer:
59
Step-by-step explanation:
hope it helps brainliest pls
7 students have 8 books each. Which helps you find the total number of books?
7 × 8
7 + 8
7 ÷ 8
7 - 8
Answers
Answer:
7 × 8
Step-by-step explanation:
7 number of students × 8 books each student has 7 × 8 = 56