The sum of all the even integers between 99 and 301 is 20200
To find the sum of even integers between 99 and 301, we will use the arithmetic progressions(AP). The even numbers can be considered as an AP with common difference 2.
In this case, the first even integer will be 100 and the last even integer will be 300.
nth term of the AP = first term + (n-1) x common difference
⇒ 300 = 100 + (n-1) x 2
Therefore, n = (200 + 2 )/2 = 101
That is, there are 101 even integers between 99 and 301.
Sum of the 'n' terms in an AP = n/2 ( first term + last term)
= 101/2 (300+100)
= 20200
Thus sum of all the even integers between 99 and 301 = 20200
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4x + 3z for x=7 and z=2
Answer:
34
Step-by-step explanation:
plug 7 into 4x
plug 2 into 3z
do the math so...
4 X 7 =28
2 X 3 = 6
add 28 + 6 = 34
What is the value of y?
88
need help
Answer:
The answer to your question is 44 degrees.
Step-by-step explanation:
PLEASE I NEED DESPERATE HELP
Which expression is equal to
[tex]\frac{7}{8}[/tex]?
A.7 divided by 8
B.8x7
C.8 divided by 7
D. 7x8
What is the frequency of (x) = 4 sin(6 π x) +1
Answer:
Frequency is 3
Step-by-step explanation:
A sine function repeats in periods and it's frequency can be gotten using:
y(x) = sin(2πfx) where f is the frequency
We are given x = 4sin(6πx) + 1
This can be rewritten as: x = 4sin(3*2πx) + 1
Therefore, our f = 3.
Hence frequency of the sine function is 3.
How long will it take for a debt to double at 42% p.a. compound interest?
According to the given statement ,
a debt to double at 42% p.a. compound interest will take approx 2 years.
What is compound interest ?Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
Compound interest is calculated on the initial principal of a deposit or loan, which also takes into account all of the accumulated interest from prior periods.
The yearly interest rate is raised to the number of compound periods minus one, and the starting principal amount is multiplied by both of these factors.
According to the given data,
Let principal = P
Time = t
Rate == 42%
Amount = A
Given Condition is A = 2P
=> P[1+ r/100]ⁿ = 2P
=> P [1 + 42/100 ]ⁿ = 2P
=> (1.42)ⁿ=2
n= log₁.₄₂ 2 =0.301/0.152
n=1.980≅2
Hence , the time it take for a debt to double at 42% p.a. compound interest is approx 2 years.
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Which expression is equivalent to x^2-17 x-60?
Answer: (x+3) (x-20)
Step-by-step explanation:
please help I need to get school work done before 3
Can someone explain?
Luke rides his bike to his aunt's house. He travels 10 mi/h. Because it starts to rain, Luke's aunt drives him home in a car traveling at 25 mi/h. It takes Luke 1.5 h longer to get to his aunt's house than to return home. How many hours did it take Luke to ride to his aunt's house?
Answer:
2.5 hours
Step-by-step explanation:
Let t = time in hours for reach friend's house
(t-1.5) = time for friend to drive her home
:
Both trips are the same distance, Write a distance equation from this fact:
Distance = speed * time
Drive distance = Bike distance
Equation-
step1) 25 (t-1.5) = 10t (here u multiply 25 by t and 25 by 1.5)
step2) 25t - 37.5 = 10t (move 37.5)
step3) 25t - 10t = +37.5 (subtract 25t from 10t)
step4) 15t = 37.5 (divide 37.5 by 15)
step5) t = 2.5 (time it took Luke to reach his aunt's house)
I need the answer to 26. And 27. Please
Answer:
Below in bold.
Step-by-step explanation:
26.
First convert each mixed number to an improper fraction:
-12 2/3 = -38/3
- 1 1/9 = -10/9
-38/3 = -10/9 * y
y = -38/3 / -10/9
y = -38/3 * -9/10
= -38 * -3 / 10
= 114/10
= 57/5
= 11 2/5.
27,
1 5/7 = 1 13/14 a
12/7 = 27/14 a
a = 12/7 / 27/14
= 12/7 * 14/27
= 24/27
= 8/9.
Find the equation of the line.
y=__x+__
Answer:
y=4x-9
Step-by-step explanation:
The equation of a line is typically written in slope-intercept form, which is y=mx+b. Here's what the variables mean:
y=the y-coordinate
m=the slope
x=the x-coordinate
b=the y-intercept (the point on the line that intercepts the y-axis)
The only values that we have to calculate to find the equation are the slope of the line and the y-intercept. Let's start off by finding the slope.
To find the slope of a line, we would need to find 2 points that fall on the line, [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] and plug them into the expression [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Let's use the points (1, -5) and (3, 3).
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{3-(-5)}{3-1}[/tex]
[tex]=\frac{3+5}{3-1}\\= \frac{8}{2}\\= 4[/tex]
Therefore, the slope of the line is 4.
To find the y-intercept, all we need to do is look at which point the line crosses the y-axis, and that point is -9.
Finally, we plug the slope and the y-axis into the equation y=mx+b as m and b.
y=mx+b
y=4x-9
I hope this helps!
800,000,000,000 + 20,000,000,000 + 3,000,000,000 + 50,000,000 + 4,000,000 + 600,000 + 50,000 + 8,000 + 700 + 80 + 6
Write the standard form of the number shown above.
Answer:
823,546,580,786
Step-by-step explanation:
If you look at the place values, that will help you determine the standard form. Hope this helps!
What is the value of the function for x = 2?
Answer:
To make this easier, first draw or imagine a vertical line at x=2Find where the vertical line and the graph intersects.Draw or imagine that point
The graph above shows the costs of two phone plans. How many minutes does a person need to call each month so that Plan B is the less expensive plan to use?
A. Less than 10 minutes
B. More than 10 minutes but less than 20 minutes
C. More than 30 minutes but less than 40
D. More than 40 minutes
Answer:
uhm, i need this answer also
Step-by-step explanation:
did you ever get the answer ? if so could you be kind enough to give it to me pleasee
Simplify the following expression: (12x – 7) + (7x + 9)
A) 19x – 2
B) 5x+ 16
C) 5x – 16
D) 19x + 2
Answer:
D.
Step-by-step explanation:
12x + 7x = 19x
-7 + +9 = 2
Answer:
d
Step-by-step explanation:
help pls Ix would really appreciate
Answer:
B
Step-by-step explanation:
g(2)=-7 because -(2)-5=-7
f(-7)=-18 because 2(-7)-4=-18
a student earned a grade of 80% on a math test that had 20 problems how many problems on this test did the student answer correctly
Answer:
16
Step-by-step explanation:
To find 80% of 20, multiply .80 x 20
.80×20 = 16
This is how you multiply percentages--put the decimal point 2 places to the left, then multiply. In this case, you're looking at 80%, so move the decimal point two places to the left
80.0 becomes .80
Then multiply that by the number you're trying to find the percentage of
find equation of the line PLEASE HELP!
Answer:
y=1/2x-3
Step-by-step explanation:
Hope this helps :) Have a great day!!!
Which fraction can be a terminating decimal? 2/9, 1/3, 1/7, 7/8
Answer:
Hi! I think the answer is 7/8.
Step-by-step explanation:
divide 7 by 8 longhand. I can't duplicate this but the answer is 875. It does not repeat it terminates. Hope this makes sense! Happy Holidays! (and hope this is correct.)
If you anwser CORRECTLY you will be brainlest thanked and 5 starred if it is wrong you will be giving a warning and reported with a 1 star. Get it correct!
Answer:
um what is the question?
Solve this equation 2/3 x - = x - 1
Answer:
X=1/7
Step-by-step explanation:
PLZ ANSWER AS SOON AS POSSIBLE!!
A lampshade needs to be rotated 75 degrees to fit snugly on its base. It has been rotated 40 degrees as shown.
How many more degrees does the lampshade need to be rotated?
8x + 3y = 13
3.x + 2y = 11
Answer:
what it means ,if there is already ans
Anybody have unwanted pets in adopt me? my only pet isn't for trade
Tip: Try taking care of, that pet and make more money to buy eggs to trade or hatch and thats an easy way to get rich if you don't have robux
Step-by-step explanation:
No, sorry. But I have a tip/hack for everyone! (I don't know if it still works)! Get 3 cracked eggs, and 1 royal egg... take care of them all until their last need. Hatch your cracked eggs first, THEN the royal egg last ... there should be a legendary in the royale egg! I tried this two times and I got a legendary each time! <3
slope of (-2,-5) (-1,-6)
Answer:
your slope will be -1
Step-by-step explanation:
if you do y-y and x-x you then divide those answers and you will end up with m=-1
Tropical Storm Zeta will bring 0.36 in. of rain to New Orleans. Which fraction is equivalent to this amount of rain in inches?
Answer:
36/100
Step-by-step explanation:
the dimensions of a rectangular plot of land are 28.3m by 53.7m. Find
1) the perimeter of the land, correct to the nearest 10
2) the area of grass needed to fill up the entire plot of land, correct to the nearest 100m^2
also show the steps
Answer:
1. Answer is 160 m
2. Answer is 1500 m²
Step-by-step explanation:
perimeter = 2(l+b)
which implies 2( 28.3 + 53.7) m = 160 m
Area is length× breadth
which implies 28.3× 53.7 = 1500 m²
Please mark me brainliest
Graph a line that contains the point (6,-4)and has a slope of -2/3
Answer:
Graph (6,-5) then graph (3,-3)
Step-by-step explanation:
Picture is help
What is the range of the graphed function?
{x |1< x < 5)
{y |1 < y <5}
{x | x is a real number}
{y|y is a real number}
Answer:
Please check the explanation.
Step-by-step explanation:
Given the expression
[tex]V=\sqrt[3]{x-1}+3[/tex]
Determining the domain:
We know that the domain of a function is the set of input values for which the function is defined.
From the given graph, it is clear that the function has no undefined points nor domain constraints.
Therefore, the domain is:
{x | x is a real number}In other words:
[tex]\mathrm{Domain\:of\:}\:\sqrt[3]{x-1}+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Determining the range:
We know that the range of a function is the set of values of the dependent variable for which a function is defined.
It is clear from the graph that the range can be any real number.
i.e. the range is:
{y|y is a real number}
In other words,
[tex]\mathrm{Range\:of\:}\sqrt[3]{x-1}+3:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]