what is 1+2+3+4+...+1000?
Answer:
[tex]S_{1000}=500500[/tex]
Step-by-step explanation:
[tex]\displaystyle S_n=\frac{n(a_1+a_n)}{2}=\frac{1000(1+1000)}{2}=500*1001=500500[/tex]
Determine if the following is true: if sin^2x cos^2x=1, then sinx+cosx=1
Answer:
true
Step-by-step explanation:
i will give brainles
Answer:
24
Step-by-step explanation:
6 times 4 = 24
Answer:
24in^2.
Step-by-step explanation:
Multiply the length times the width. 4*6=24.
Lorraine prepared a 2.5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1.25 quarts of tomatoes. If 1 gallon equals 4 quarts, how many jars can Lorraine fill?
4 jars
5 jars
8 jars
10 jars
Answer:
(c) 8 jars
Step-by-step explanation:
You want to know the number of 1.25 quart jars that can be filled from a 2.5 gallon container.
JarsThe number of jars can be found from ...
(2.5 gal) × (4 qt/gal) × (1 jar)/(1.25 qt) = (2.5·4/1.25) jars = 8 jars
Lorraine can fill 8 jars from the 2.5 gallon pot.
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For the system of equations shown, tell whether it would take fewer steps to solve by substitution or elimination. Then use that strategy to solve the system. Explain your reasoning.
-3x - 4y = 15
9x + 7y = 25
Answer:
Step-by-step explanation:
Step: Solve−3x−4y=15for x:
−3x−4y=15
−3x−4y+4y=15+4y(Add 4y to both sides)
−3x=4y+15
−3x
−3
=
4y+15
−3
(Divide both sides by -3)
x=
−4
3
y−5
is 11^2 x 5^4 a factor of 11^3 x 5^4
No, 11^2 x 5^4 is not a factor of 11^3 x 5^4.
To see this, you can divide 11^3 x 5^4 by 11^2 x 5^4 and see that there is a remainder.
11^3 x 5^4 = (11 x 11 x 11) x (5 x 5 x 5 x 5)
= 121 x 625
= 75125
11^2 x 5^4 = (11 x 11) x (5 x 5 x 5 x 5)
= 121 x 625
= 75125
75125 / 75125 = 1 with a remainder of 0.
Therefore, 11^2 x 5^4 is not a factor of 11^3 x 5^4.
A television set cost $350 cash when bought on hire purchase a deposit of $35 is required followed by 12 monthly payments of $30 how much is saved by paying cash
Answer:
www.imsorryineedpoints.orgStep-by-step explanation:
is 50 tens x 4 hundreds =40 tens x 5 hundreds true or false
Answer:
True, 50 tens times hundreds equal 40 tens times 5 hundreds
Step-by-step explanation:
50 tens times 4 hundreds equals to 40 ten times 5
hundreds because if you multiply 50 by 4 hundreds
you'll get 20,000 and if you multiply 40 tens by
hundred it will still give you 20,000
Therefore:
50 × 400 = 40 × 500
20,000 = 20,000
Please help me! If you get it right, I will give you Brainlist!
Answer:
720m^2
Step-by-step explanation:
Answer your answer is B
Use the integers that are closest to the number in the middle.√38
Answer:
6 < √38 < 7
Step-by-step explanation:
6 squared is 36, which is right under 38 and 7 squared is 49, meaning 7 is the first number right above it. This means that:
√36 < √38 < √49
6 < √38 < 7
Please help with homework
Solve
2(x+4)=3(-2+x)
Answer:
x = 14
Step-by-step explanation:
2(x + 4) = 3( -2 + x) distribute the 2 and the 3.
2(x) + 2(4) = 3(-2) + 3(x)
2x + 8 = -6 + 3x Subtract 2x from both sides
2x - 2x + 8 = -6 +3x -2x
8 = -6 +x Add 6 to both sides
8 + 6 = 6 - 6 + x
14 = x
no links please
please quick!
Answer:
25%
Step-by-step explanation:
3/12 kids read over 9.5 hours
3 x 4 is 12
from percents, 25, 50, 75, 100
so it would be 25%
What transformation maps triangle XYZ onto triangle X'Y'Z'?
Answer:
a translation of 4 in y direction.
hope it helps.
stay safe healthy and happy.
The radius of a cylinder is 3 cm and the height is 6
Find the volume.
O 9611
O 5411
0 2511
Answer:
Volume = πr²h
= π x 3² x 6
= 54π
Option B
Prime numbers are the _______ _______of all numbers
The numbers which have only two factors either 1 and the number itself are called prime numbers.
What is prime numbers?Prime number is a natural number greater than 1 that is not a product of two smaller natural numbers while a natural number greater than 1 that is not prime is called a composite number
Therefore a prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29
Learn more about prime numbers here: brainly.com/question/29062994
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In parallelogram ABCD, the measure of angle B is 107°.
(a) What is the measure of d
(b) What is the measure of a
Please answer correctly for brainliest
Answer:
oki! mizuki here to answer and help!
The answer will be 19/10 or 1 9/10
Step-by-step explanation:
Soo... let's simplify 1 2/5 first.
The simplified version of 1 2/5 is 7/5.
and we solve the equation!
since there are two negatives, turn it into a plus!
7/5 + 1/2
5 x 2 = 10 2 x 5 = 10
7 x 2 = 14 1 x 5 = 5
so...
14/10 + 5/10 which will be 19/10, or 1 9/10
The question should be find the answer, not the difference ngl.
A psychologist is interested in the mean IQ score of a given group of children. It is known that the IQ scores of the group have a standard deviation of 10. The psychologist randomly selects 100 children from this group and finds that their mean IQ score is 100. Based on this sample, find a 99% confidence interval for the true mean IQ score for all children of this group. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.)
Answer:
The 99% confidence interval for the true mean IQ score for all children of this group is (97.4, 102.6). The lower limit is 97.4 and the upper limit is 102.6.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{10}{\sqrt{100}} = 2.575[/tex]
Rounding to one decimal place, the margin of error is 2.6.
The lower end of the interval is the sample mean subtracted by M. So it is 100 - 2.6 = 97.4.
The upper end of the interval is the sample mean added to M. So it is 100 + 2.6 = 102.6.
The 99% confidence interval for the true mean IQ score for all children of this group is (97.4, 102.6). The lower limit is 97.4 and the upper limit is 102.6.
Which of the following numbers is the slope of the line tangent to the curve y=x2+5x at x=3?
Henrie plays baseball. He hits 80% of the time he bats. If he is up to bat 20 times this weekend at his baseball tournament, how many times is he expected to hit
Answer:16
Step-by-step explanation: If henry hits 80% of pitches, then the easiest way is to make 80% of 10, which is half of 20, is 8. So if it is 20 times he is up to bat, then 8*2, 2*8 is 16, so he hits the ball 16 times.
Whats the sum of p 3/4
help thanks !!!!!!!!!!!!!!!
Answer:
ASA
Step-by-step explanation:
The hash marks are telling which sides are congruent and the angle mark is telling us that those angles are congruent.
WILL MARK BRAINLIEST!
To the nearest tenth, the perimeter of the rhombus is ___ units long.
Answer:
28.84 units
Step-by-step explanation:
using Pythagorean's Theorem, and halving both 8 and 12, we can find the length of the hypotenuse of on of the triangles. Once we find that length. we multiply it by 4 to complete the total perimeter.
Find the distance between the two points rounding to the nearest tenth (if necessary
(-8,0) and (1,7)
9514 1404 393
Answer:
11.4
Step-by-step explanation:
Put the given coordinates in the distance formula and do the arithmetic.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((1 -(-8))² +(7 -0)²) = √(9² +7²) = √130
d ≈ 11.4 . . . . units
The distance between the two points is about 11.4 units.
list this from least to greatest -$25.18,$48.12,-$24.72,$47.72,-$24.12,$25.12
The listing of the given values from the least to the greatest = -$25.18, -$24.72, -$24.12, $25.12, $47.72 and $48.12.
What is a number line?A number line is defined as the expression that represents the location of real numbers as being a positive number or a negative number.
The negative values which are the least in the number line are usually higher in value than the greater numbers, while the greater values are higher for positive numbers.
Therefore,the arrangement of the given values from least to the greatest = -$25.18, -$24.72, -$24.12, $25.12, $47.72 and $48.12.
Learn more about number line here:
https://brainly.com/question/24644930
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Help plz:)))I’ll mark u Brainliest
Answer:
The high of cylinder is 47 m. or inch.. cuz if you make angles and sides of fraction it may multiple by 30 so it would be 47..
Step-by-step explanation:
HOPE IT HELPS!!
Help me with this question please! NO FILES!
Answer:
56
Step-by-step explanation:
Answer:
54 gallons of 26 percent green dye and then 54 gallons of 16 percent green dye
Step-by-step explanation:
write the first five terms of the sequence.. NO LINKS!!!
Answer:
5,50,500,5000,50000
Step-by-step explanation:
The first term is given
a1 =5
The second term is when n=2
a2 = 10 * a1 = 10 * 5 = 50
The third term is when n=3
a3 = 10 * a2 = 10 * 50 = 500
The fourth term is when n=4
a4 = 10 * a3 = 10 * 500 = 5000
The fifth term is when n=5
a5 = 10 * a4 = 10 * 5000 = 50000
Please solve this problem and I’ll give brainliest
Answer:
I am pretty sure that the answer is d
Step-by-step explanation:
Suppose that three microchips in a production run of thirty are defective. A sample of five is to be selected to be checked for defects. (a) How many different samples of five can be chosen from the production run of thirty? 142506 Correct: Your answer is correct. (b) How many samples will contain at least one defective chip? The set of samples that do not contain any defective chips and the set of samples that contain at least one defective chip are disjoint Correct: Your answer is correct. sets. So, the number of samples with at least one defective chip is . (c) What is the probability (as a percent) that a randomly chosen sample of five contains at least one defective chip? (Round your answer to one decimal place.) %
Answer:
a) 142506
b) 61776
c) 0.4333
Step-by-step explanation:
Given
Three microchips in a production run of thirty are defective
The probability of having a defective microchips is 3/30 = 0.1
Probability of having a good microchip is 0.9
a) Possible ways of selecting five sample =
30C5
30*29*28*27*26*25!/25! *5! = 17100720/120 = 142506
b) With one defective microchip
Total sample – sample without any defective microchip
142506 – 37C5
142506 – 80730
61776
c) Probability = 61776/142506 = 0.4333