This range contains 80 numbers (40 in 1-40, and another 40 in -39-0).
We have
S = 1 + 2 + 3 + … + 38 + 39 + 40
S = 40 + 39 + 38 + … + 3 + 2 + 1
==> 2S = (1 + 40) + (2 + 39) + … + (39 + 2) + (40 + 1)
==> 2S = 40 × 41
==> S = 820
and
T = 0 + 1 + 2 + … + 37 + 38 + 39
T = 39 + 38 + 37 + … + 3 + 2 + 1
==> 2T = (0 + 39) + (1 + 38) + … + (38 + 2) + (39 + 0)
==> 2T = 40 × 39
==> T = 780
The average of the numbers in this range is equal to the total divided by the amount of numbers in the range, so
average = (40 + 39 + … + 1 + 0 + (-1) + … + (-38) + (-39))/80
average = (S - T )/80
average = (820 - 780)/80
average = 40/80 = 1/2
helpppp timed on this helppp me quick brainleast
Answer:
Answer 1
Step-by-step explanation:
Hey here! This is your answer:
L = 9
Step-by-step explanation:
Using the formula A = wl we can figure out this question.
[tex]l=\frac{A}{W} = \frac{36}{4} =9[/tex]
Solve equation by completing the square.
Answer:
x=3 and x=5
Step-by-step explanation:
x2−8x+15=0
To solve the equation, factor x2−8x+15 using formula x2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.
a+b=−8ab=15
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 15.
−1,−15−3,−5
Calculate the sum for each pair.
−1−15=−16−3−5=−8
The solution is the pair that gives sum −8.
a=−5b=−3
Rewrite factored expression (x+a)(x+b) using the obtained values.
(x−5)(x−3)
To find equation solutions, solve x−5=0 and x−3=0.
x=5x=3
hope it helps :)
Suppose a right triangle has a
hypotenuse length of 12. If one of
the legs has length 5, what would
the length of the last leg be?
Answer:
See the last two lines below. I don't know which one you want.
Step-by-step explanation:
hypotenuse = 12
One leg = 5
other leg = x Substitute into a^2 + b^2 = c^2
x ^2 + 5^2 = 12^2
x^2 + 25 = 144 Subtract 25 from both sides
x^2 = 144 - 25 Combine
x^2 = 119 Take the square root of both sides
x = sqrt(119)
x = 10.91
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
a = 6
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 8^2 = 10 ^2
a^2 +64 = 100
a^2 = 100 -64
a^2 = 36
Take the square root of each side
sqrt(a^2) = sqrt(36)
a = 6
If four times a certain number, increased by 6 is equal to 94, what is the number?
If x represents the number, then which of the following equations could be used to solve the problem?
4x + 6 = 94
x + 6 = 4(94)
4(x + 6) = 94
Answer:
4x + 6 = 94 could be used to solve the problem
Rony earns 17 dollars less than half of what John earns. If John earns p dollars, how much does Rony earn in dollars?
a. p - 1/2
b. 1/2 + p
c. (p/2) - 17
d. 17 + (p/2)
Answer:
The correct choice is option c. (p/2) - 17
how much is 72 kilograms in pounds
Answer:
158.733 that's the answer
9514 1404 393
Answer:
about 159 pounds
Step-by-step explanation:
The exact conversion factor from kilograms to pounds is ...
1 lb = 0.45359237 kg
So, to find the number of pounds, you multiply:
[tex]72\text{ kg}\times\dfrac{1\text{ lb}}{0.45359237\text{ kg}}\approx\boxed{158.7328\text{ lb}}[/tex]
The conversion is often approximated by 1 kg = 2.2 lb, which gives an answer that is about 0.21% low.
Can someone help me with an idea please? I need something like this for math and science week but i think my idea is really lame. It has to be a photograph and it can be physics, chemistry or math! Pls lmk your ideas cuz im running out of them
Answer:
take a light bulb and a potato and some wires connect together will give light
Answer:
i have attached a pic of an idea that might help you
:)
smallest to largest. 14/5, 2.4, 2 1/3, 1.41
Answer:
1.41, 2 1/3, 2.4, 14/5
Step-by-step explanation:
Change everything to decimal points first
A mountain is 15,062 feet above sea level, and a valley is 350 feet below sea level, what is the difference in elevation between the mountain and the valley?
Answer:
14,712 ft difference
Step-by-step explanation:
15,062 - 350 = 14,712
Answer:
Step-by-step explanation:
Difference in elevation is 15,062-(-350)=15,062+350=15,412
Build a function whose domain is all real numbers other than -4, and whose range is all real numbers other than 5.
Answer:
An example is the rational function [tex]y=\frac{5x}{x+4}[/tex].
Step-by-step explanation:
The graph of the rational function [tex]y=\frac{5x}{x+4}[/tex] has a vertical asymptote at x = -4 where the denominator is equal to zero. The function is undefined there, so the domain is all real numbers except -4.
The graph has a horizontal asymptote y = 5 so the domain is all real numbers except 5.
See the attached image for the graph of the function (purple) and it's vertical asymptote (black).
Point C is in the interior of
Answer:
Point C is in the interior of angle ABD.
give the distance between two points with the given coordinates.
-10.3 and -12.1
tìm diện tích hình thang
Answer:
Diện tích hình thang bằng trung bình cộng của 2 đáy nhân với chiều cao của nó. Trong đó: + S: Diện tích. + a,b: Lần lượt là độ dài 2 đáy.
Step-by-step explanation:
uhhh hope that helps:3
I NEED HELP ON THIS!!!
Look at the triangle below.
Which equation is equivalent to the law of cosines?
A
a2=c2−2cx+h2
B
a2=c2−2cx+x2+h2
C
a2=c−x2+h2
D
a2=c2−x2+h2
Answer:
I believe the answer is B. a^2 = c^2 - 2cx + x^2 + h^2
Step-by-step explanation:
The law of cosines states: c^2 = a^2 + b^2 - 2bc * cos(C). If we plug in the values from the diagram, we'll have (c-x)^2 = a^2 + h^2 -2ah * cos(90)
cos(90) = 0, so now we have just (c-x)^2 = a^2 + h^2
Let's expand this to c^2 -2cx + x^2 = a^2 + h^2
Isolate a^2 and we now have a^2 = c^2 -2cx + x^2 + h^2
pls vote me brainliest if i was able to help you!! <3
can someone help me with this one again bc I didn't show the decimal Decimal: 0.44
Step-by-step explanation:
The answer is 10 times
=> 4 hundredths x 10 = 4 tenths
=> 0.04 x 10 = 0.4, which is correct
Hope that helps
8= 8 + 4x +5x
can anyone help me with this
Answer:
0= x
Step-by-step explanation:
8= 8 + 4x +5x
Combine like terms
8 = 8+9x
Subtract 8 from each side
8-8 =8+9x-8
0 = 9x
Divide by 9
0/9 = 9x/9
0= x
Cindy had $100 in her savings account. The bank accidentally charged her a $30 service fee. How much money does that leave her with as a balance? *
Answer:
$70
Step-by-step explanation:
Find how much money she has left by subtracting 30 from 100:
100 - 30
= 70
So, she has $70 left in her balance.
A share of stock is now worth 20% of its value from a year ago. If it is now worth $44,250, what was it worth a year ago?
Answer:
$8850
Step-by-step explanation:
44250 divided by 0.2 (output value converted from percentage to decimal)
Similarly, if you want to add percentage, multiply instead of divide!
One airline carried 3,720 people on 31 flights between Portland and Los Angeles. If there were the same number on each flight, how many people were on each flight?
Please help ASAP!
Divide total people by total flights:
3720/31 = 120
There was 120 people on each flight
Gross income is:
A. the amount of pay after tax and benefit deductions.
B. the amount of pay after tax but before benefit deductions.
C. the total amount of earned salary or wages.
D. the total amount an employer withholds for taxes.
Gross income is: The total amount of earned salary or wages. Option C is the correct answer.
Gross income refers to the total amount of money earned by an individual before any deductions or taxes are taken out. It represents the complete earnings from employment or other sources of income before any adjustments or deductions are made.
Gross income includes the full amount of salary or wages earned by an individual, as well as any additional income such as bonuses, commissions, or tips.
Option A is incorrect because gross income is the total amount earned before tax and benefit deductions are applied.
Option B is incorrect because gross income is not after tax, but rather before any tax deductions.
Option D is incorrect because gross income does not specifically refer to the amount withheld for taxes, but rather the total amount earned before any deductions.
For such more question on Gross income:
https://brainly.com/question/1931633
#SPJ8
A sofa is on sale for $442, which is 85% of the regular price.
[tex]\frac{442}{x} = \frac{85}{100} \\85x = 44200\\x = \frac{44200}{85} = 520[/tex]
Original price is 520
304,015 expanded form
Answer:
300,000 + 4,000 + 10 + 5
Step-by-step explanation:
Write down what everything is worth.
The 3 is worth 300,000 since it's in the hundred thousands place
The 0 is worth nothing so write nothing
The 4 is worth 4,000 since it's in the thousands
The 0 is worth nothing so write nothing
The 1 is worth 10 since it's in the tens place
The 5 is worth 5 since it's in the ones place
4. (k? - 4k+7)+(k? +9k – 3)
ON SA
Answer:
7k + 4
Step-by-step explanation:
I don't know what ON SA means, but here's how I solved it:
(k - 4k + 7) + (k + 9k – 3)
(-3k + 7) + (10k - 3)
(-3k + 10k) + (7 - 3)
7k + 4
Adnan earns $48,000 per year. His employer offers him a 4 % raise if he stays with the company What would his new salary be ?
A. 49,929
B. 1,920
C.46,080
D. 192,000
Answer:
A. 49,920
Step-by-step explanation:
Multiply the beginning value by 1 plus the percentage in decimal form.
Some Word Problems
1. You are making sandwiches for a large crowd. All must be identical and must contain 2 slices of bread, 2 teaspoons mustard, 3 slices salami, 2 slices of cheese, 2 lettuce leaves, and 1 slice tomato.
You have on hand
2 loaves of bread, 20 slices each 3 pounds of cheese, each pound gives 16 slices 1 quart of mustard 60 slices of salami An unlimited supply of tomatoes from your garden 3 head of lettuce, approximately 15 leaves in each
How many sandwiches can you make?
For which ingredients is (are) there no leftovers?
In case you've forgotten your kitchen conversions: 1 quart = 4 cups; 1 cup = 16 tablespoons; 1 tablespoon = 3 teaspoons
We are to find how many sandwiches can be made and the ingredients that has leftovers
You can make 20 sandwiches
lettuce has 1 leftover and tomato has unlimited leftover
Recipe for Sandwiches:
Bread = 2 slices
Mustard = 2 teaspoons
Salami = 3 slices
cheese = 2 slices
Lettuce = 2 leaves
Tomato = 1 slice
3 pounds of cheese = 16 × 3 slices = 48 slices2 loaves of bread = 20 slices × 2 = 40 slices1 quart of mustard = 4 cups × 16 tablespoons × 3 teaspoons= 192 teaspoons
lettuce = 3 heads × 15 leaves= 45 leaves
Recipe available:
Bread = 40 slices
Mustard = 192 teaspoons
Salami = 60 slices
cheese = 48 slices
Lettuce = 45 leaves
Tomato = unlimited
Bread
Recipe available / original recipe
= 40 slices / 2 slices
= 20 servings
No leftovers
Mustard
Recipe available / original recipe
= 192/2
= 96 servings
No leftovers
Salami
Recipe available / original recipe
= 60 / 3
= 20 serving
No leftovers
Cheese
Recipe available / original recipe
= 48/2
= 24 servings
Lettuce = 45/2
= 24 remaining 1
leftover = 1
Tomato = unlimited leftovers
The ingredients available can only make 20 sandwiches equally
Read more:
https://brainly.com/question/24540733
Question
Translate and solve 3084 is what percent of 24,99
Solve for w.
|5w + 7) = |5w + 8)
please help :)
Answer:
w=3/2
Step-by-step explanation:
[tex]|5w+7|=|5w+8|\\5w + 7 =\pm (5w+8)\\5w + 7 = 5w + 8 \text{ or } 5w + 7 = -5w-8\\7 = 8 (\text{abusrd}) \text{ or } 10 w =15\\w= 15/10 = 3/2.[/tex]
Find the place value of 7 in 374596
Answer:
It is tens
Step-by-step explanation:
3 » ones
[tex]{ \boxed{ \sf{7 \: » \: tens}}}[/tex]
4 » hundreds
5 » thousands
9 » ten thousands
6 » hundred thousands
Tính đạo hàm cấp n của hàm số f(x) = 3x − 1
4x + 3
Answer:
so fx 3x-1 '4x+3
Step-by-step explanation:
please mark me brainliest answer
