Step-by-step explanation:
Multiplying :-l(m-n) + m (n-l) + n (m-l)lm - ln + mn - ml + nm - nlSolve the like terms :-lm - ml - ln - nl + mn + nm2mn - 2nlTake common :-2n(m - l)...simplified Hope it helps you !!Answer:
-2ln + 2mn
Step-by-step explanation:
Simplify l(m-n) + m(n-l) + n(m-l)
Step 1 : Distribute and multiply
l(m-n) + m(n-l) + n(m-l)
l(m) + l(-n) + m(n) + m(-l) + n(m) + n(-l)
lm - ln + mn - lm + mn - ln
Step 2: Combine like terms
lm - ln + mn - lm + mn - ln
lm - lm - ln - ln + mn + mn
0 -2ln + 2mn
Solution:
-2ln + 2mn
Hope this helps!
A rectangle has a perimeter of 42 m and a width of 9 m. What is the length in meters.
Answer:
12 meters
Step-by-step explanation:
2x9=18 (get both widths)
42-18=24 (take away widths of 9m)
24/2=12 (divide by 2 to get one length)
find the HCF of 447 577 669
Answer:
3
Step-by-step explanation:
447÷3=149577 is a prime number so it can't be divided669÷3=223447=3×149577=0669=3×223Common factors=3H.C.F of 447,577 and 669=3Answer:
1
Step-by-step explanation:
447 = 3 ×149
577 = 577 (prime number)
669 = 3 × 223
HCF = 1
someone help me please
The equation x² - 6x = 8 is equivalent to the equation (x - 3)² = 17. Then the correct option is A.
What is an equivalent?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
x² - 6x = 8
Add 9 on both sides, then we have
x² - 6x + 9 = 8 + 9
(x - 3)² = 17
The equation x² - 6x = 8 is equivalent to the equation (x - 3)² = 17. Then the correct option is A.
More about the equivalent link is given below.
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A local city collects 8% sales tax. If the total purchase was $216.00, then how much was collected for sales tax?
А jeremiah is starting a running plan to train for a race. in the first week of his running plan, jeremiah will run 6 miles. the plan calls for jeremiah to increase his weekly milage by 2 miles every week. if jeremiah sticks to the plan, how many miles would he be expected to run during his 8th week of the training plan?
At the 8th week Jeremiah will be running 24 miles to train for a race.
Word ProblemGiven Data
Starting distance = 6 milesWeekly increment = 2 milesThe rule for finding the mile for the 8th week is
Mile (n) = 6+2(n)
hence for n = 8
Mile (8) = 6+2(8)
Mile (8) = 6+16
Mile (8) = 24 miles
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How many different plates can be made with 2 vowels and a digit?
============================================================
Explanation:
If repeats are allowed, then we have 5 vowels (a,e,i,o,u) for the first vowel slot, and 5 choices for the second vowel slot. We also have 10 choices for the numeric digit (0 through 9).
There are 5*5*10 = 250 ways to make a selection of the form LLN where L stands for "letter" (specifically a vowel) and N stands for "number". An example plate could be AE2.
There are also 250 ways to make a selection of the form LNL and 250 ways to select something of the form NLL.
That means there are 3*250 = 750 ways to make a license plate with two vowels and a digit where repeats are allowed.
8+(6 - 2)3 divided by 2
Where is the first error made in the proof?
Answer: Step 4
Step-by-step explanation:
There is no equation to substitute into, the reason should be 'Pythagorean theorem'.
The baseball game started at 7:00 p.m. It ended at 9:15 p.m. How long did
the baseball game last?
Answer:
2 hours 15 minutes
Step-by-step explanation:
7+2 =9
00+15 =15
Answer:
2 hours and 15 minutes
Step-by-step explanation:
2 hours and 15 minutes
7pm - 8pm = 1 hour
8pm - 9:15 = 1 hour 15 minutes
1 hour + 1 hour +15 minutes = 2 hours 15 minutes
need answer please (distributive law) grade 9 mathematics
Answer:
SEE ABOVE ATTACHMENT. MARK AS BRAINLIASTAnswer:
[tex]7 {x}^{2} + 19x - 8 \\[/tex]
Step-by-step explanation:
[tex]2(3 {x }^{2} + 8x - 4) + x(x + 3) \\ 6 {x}^{2} + 16x - 8 + {x}^{2} + 3x \\ 6 {x}^{2} + {x}^{2} + 16x + 3x - 8 \\ 7 {x}^{2} + 19x - 8[/tex]
5,5/2,5/4 find the ninth term
Answer:
T9 = 5/256
Step-by-step explanation:
This is a geometric progressionYou can tell it by looking at the pattern of the progression whether each term +- or ×÷.
From the question,
First term, a = 5
Common ratio, r = (5/2)/5 = ½
n = 9
Using the formula for nth term of a geometric progression,
[tex] t_{n} = a {r}^{n - 1} [/tex]
T9 = 5(½)^(9-1)
= 5/256
What is 1978 times 45
Answer:
89010
Step-by-step explanation:
1978 times 45 will equal 89010 its very simple step wise.
Answer:
89010
Step-by-step explanation:
2x + 3y = 13
4x - y = -2
Answer:
Step-by-step explanation:
Solve the following system:
{3 y + 2 x = -2 | (equation 1)
{-y + 52 x = -2 | (equation 2)
Swap equation 1 with equation 2:
{52 x - y = -2 | (equation 1)
{2 x + 3 y = -2 | (equation 2)
Subtract 1/26 × (equation 1) from equation 2:
{52 x - y = -2 | (equation 1)
{0 x + (79 y)/26 = -25/13 | (equation 2)
Multiply equation 2 by 26:
{52 x - y = -2 | (equation 1)
{0 x + 79 y = -50 | (equation 2)
Divide equation 2 by 79:
{52 x - y = -2 | (equation 1)
{0 x + y = -50/79 | (equation 2)
Add equation 2 to equation 1:
{52 x + 0 y = -208/79 | (equation 1)
{0 x + y = -50/79 | (equation 2)
Divide equation 1 by 52:
{x + 0 y = -4/79 | (equation 1)
{0 x + y = -50/79 | (equation 2)
Collect results:
Answer: {x = -4/79, y=-50/79
What are the following factors of x² - 6x +8
1) 1, 8
2) 4,2
3) -4, -2
4) -1, -8
This question will help me get ready for high school.
Answer:
2) 4,2
Step-by-step explanation:
Factor by grouping:
[tex]x^2-6x+8\\\\x^2-4x-2x+8\\\\x(x-4)-2(x-4)\\\\(x-2)(x-4)[/tex]
Setting the expression equal to 0 and using the Zero Product Property, [tex]x=2[/tex] and [tex]x=4[/tex], which are the factors of the original polynomial.
Answer:
The factors are x-2 and x-4.
Step-by-step explanation:
x^2 - 6x + 8
= (x - 2)(x - 4)
I need help giving crown
Answer:
The car is moved accross the y axis, then is moved down under the x axis. :)
Have an amazing day!!
Please rate and mark brainliest!!
22 pints = what fluid ounces
Answer:
422.734 fluid ounces
Step-by-step explanation:
For the approximate result you have to multiply the volume value by 19.215
Scott is the owner of a tool and die shop. He has hired you to check his machine’s calibration prior to starting production on a large order. To check this, you set the machine to create 1.5 inch screws and manufacture a random sample of 200 screws. That sample of screws has an average length of 1.476 inches with a standard deviation of 0.203 inches.
Does this sample provide convincing evidence that the machine is working properly or should it be shut down for repairs? Justify your reasoning mathematically.
Using the t-distribution, it is found that we do not reject the null hypothesis, which is convincing evidence that the machine is working properly.
What are the hypothesis tested?At the null hypothesis, it is tested if the mean is of 1.5 inches, that is:
[tex]H_0: \mu = 1.5[/tex].
At the alternative hypothesis, it is tested if it is different, hence:
[tex]H_1: \mu \neq 1.5[/tex].
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In this problem, their values are:
[tex]\overline{x} = 1.476, \mu = 1.5, s = 0.203, n = 200[/tex].
Hence, the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{1.476 - 1.5}{\frac{0.203}{\sqrt{200}}}[/tex]
[tex]t = -1.672[/tex]
What is the decision?Considering a two-tailed test, as we are testing if the mean is diffrent of a value, with 200 - 1 = 199 df and a standard significance level of 0.05, the critical value is of [tex]|t^{\ast} = 1.972[/tex].
Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis, which is convincing evidence that the machine is working properly.
More can be learned about the t-distribution at https://brainly.com/question/16313918
Write 4.58 correct to 1 decimal place.
1000 to the fourth power(?
Answer:
Step-by-step explanation:
Answer: Raise 1000 to the power of 4
1000000000000
WILL GIVE BRAINLIEST IF YOU KNOW THE ANSWER!!! PLS HELP :)
Answer:
A. 5.0 * 10⁻⁹ J
Step-by-step explanation:
Q is charge.
ΔV is electric potential energy.
All we have to do is plug both values in.
PE = (1/2)(1.0 * 10⁻¹⁰)(100) = (1/2)(1.0* 10⁻⁸) = 5.0 * 10⁻⁹ J
Answer:
A.
Step-by-step explanation:
Plug the values in and there is your answer.
I hope it helps! Have a great day!
Anygays-
Laura invest $300 into an account with an interest rate of 4% compounded annually. Write an exponential function to represent this situation
The exponential function that represents the future value of the investment is $300(1.04)^t.
What is the exponential function?
The exponential function that can be used to determine the future value of the investment is:
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years$300(1.04)^t.
Where t represents number of years
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When a sphere has a volume of 7235.56, what is the radius of the sphere? Round to the nearest tenth. Use 3.14 for π.
Answer:
V = (4/3)πr3 ≅ (4/3)(3.14)(3 in)3 ≅ 113.0 in3
Step-by-step explanation:
Find the lateral surface area of this rectangular prism in centimeters. refer to your staar 8th grade math reference sheet for the appropriate formula. question 2 options: 28 cm2 36 cm2 42 cm2 48 cm2
The lateral surface area of a rectangular prism has length, breadth, and height is 3cm, 3cm, and 2cm is 36cm sq.
What is the lateral surface area of this rectangular prism?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The lateral surface area of this rectangular prism = 2( l + b) h
It is given that length, breadth and height are 3cm, 3cm and 2cm.
The lateral surface area of this rectangular prism = 2( l + b) h
= 2 (3+3) 2
= 4 × 9
= 36cm sq.
Hence, the lateral surface area of this rectangular prism is 36cm sq.
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Answer:
39 ig
Step-by-step explanation:
A person invests 6000 dollars in a bank. The bank pays 5.75% interest compounded daily. To the , how long must the person leave the money in the bank until it reaches 11600 dollars?
Answer:
x=11.5
Step-by-step explanation:
1) 3x + 6 - 2 + 5x
2) a bicycle is originally priced at 80$. The store owner gives a discount and the bicycle is now 60$. What percent discount was taken off?
Answer: ✨4(2+1)✨
Step-by-step explanation: ✨3+6−2+53x+6−2+5x3+4+53✨
Answer:
4(2x + 1)
---->
Step-by-step explanation:
1: 3x + 6 - 2 + 5x = 4(2x + 1)
2: Orignal Cost=80
Discounted Cost=60
Discount=80-60=20
Discount%=(20/80)*100=25%
jacobs paints the outside of the rectangular primsim below, except for thr bottom the length is 9 cm and the width is 4/3. What is the total area that he paints?
Answer:
the area of triangle formula is A = B*H / 2
so it means 16 square = (x+4) x /2
so x²+4x -32=0, D' = 2²- (-32)= 36, sqrt of D' = 6
so x = -2 -6 = -8 or x= -2 +6 = 4
x must be positive so x = 4
Step-by-step explanation:
The school cafeteria sells several types of pies at lunch. Last week it sold 12 apple pies, 19 pumpkin pies, and 30 blueberry pies.Which of the following would increase the range of the total number of pies sold?
a) Sell 2 fewer apple pies b) Sell 2 more pumpkin pies
c) Sell 2 fewer blueberry pies d) Sell 2 more apple pies
Answer:
d)sell 2 more apple pies
Step-by-step explanation:
increasing 12 apple pies sold to 14 sold would increase the range.
How many lines of symmetry does the letter have?
0
1
2
3
Which is the recursive formula for this arithmetic sequence? an = an – 1 7 where a1 = –10 an = an – 1 17 where a1 = –10 an = 7an – 1 - 17 where a1 = –10 an = an – 1 – 7 where a1 = –10.
Answer: 1. 10
2. an = an - 1 + 7 where a1 = -10
Step-by-step explanation:
Answer: A. an = an – 1 + 7 where a1 = –10
Step-by-step explanation:
During a big race, Jeff races his car at a rate of 125 miles per hour for 3.2 hours. What is the distance of the race?
Answer:
unoriginal presidential play insisting that the president is a little more aggressive and more aggressive 6PM to the