Answer:
Step-by-step explanation:
We know that, If two line are perpendicular to each other wit slopes [tex]m_{1}[/tex] and [tex]m_{2}[/tex] them [tex]m_{1} *m_{2}=-1[/tex]
Hence,
[tex]7*(-1/7)=-1[/tex]
This shows that these two line are perpendicular to each other.
what are the ordered pairs of y=3x-5
Infinitely many others are possible.
=================================================
Explanation:
Replace x with 0 and simplify to get...
y = 3x-5
y = 3(0)-5
y = 0-5
y = -5
When x = 0, it leads to y = -5
One ordered pair is (x,y) = (0, -5)
Let's repeat those steps for x = 1
y = 3x-5
y = 3(1)-5
y = 3-5
y = -2
Another ordered pair is (1, -2)
As you can see, we can pick anything we want for x to get some paired y output. There are infinitely many x values to pick from. This means there are infinitely many ordered pairs for (x,y).
When it comes to graphing, you only need two points at minimum to form a straight line.
Tell whether the triangles are similar.
Answer: i'm gonna say the other one is smaller
Step-by-step explanation:
each side is technically the same. that one is only smaller
A group of people were asked if they had run a red light in the last year. 449 responded "yes", and 298
responded "no".
Find the probability that if a person is chosen at random, they have run a red light in the last year.
Give your answer as a fraction or decimal accurate to at least 3 decimal places
Which expression is the completely factored form of 27x³ +y6 ?
O (3x - y²) (9x² + 3xy² + y4)
○ (3x + y²)³
O (3x + y²) (9x² - 3xy² + y¹)
O (3x + y²) (9x² + y¹)
Step-by-step explanation:
[tex]27 {x}^{3} + {y}^{6} \\ = (3x + {y}^{2} )(9 {x}^{2} - 3x {y}^{2} + {y}^{4} )[/tex]
If you want to know how it's done ask me!
Arrange these numbers in order of size
from smallest to largest.
13.07
3.76
3.8
13.45
Answer:
3.76, 3.8, 13.07, 13.45
Step-by-step explanation:
Answer:
3.76, 3.8, 13.07, 13.45
Step-by-step explanation:
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Answer:
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HELP ASAP 10 POINTSSSS
What is the value of 6m - 4n when M=4 and N=2.
MUST SHOW YOUR WORK PLEASE
Answer:
16
Step-by-step explanation:
Substitute m for 4 and n for 2
6(4)-4(2)
next multiply
6*4=24 and 4*2=8
now subtract
24-8=16
Answer:
Step-by-step explanation:16 6 times 4 =24 and 4 times 2 = 8 24 minus 8 = 16
An isolated agricultural country has two distinct regions: a lowland plain and an upland of rugged hills. On one unit of land on the PLAIN, a farmer can raise 10 bushels of grain or graze 10 sheep. On one unit of land in the HILLS, a farmer can raise 2 bushels of grain or graze 4 sheep.
Determine which region has the absolute advantage for sheep production. Explain your answer.
Solve the equation x3 = −215???
Answer
[tex]X=-\sqrt[3]{215}[/tex]
The answer is X=-5.990726
let P(A)=0.65, P(B)=0.30, and P(AIB)=0.45
a. calculate P(AnB).
b. calculate P(AUB).
c. calculate P(BA)>
The probability will be:
a. P(AnB) = 0.195
b. P(AUB). = 0.95
c. P(BA) = 0.65
How to calculate the probability?P(A)=0.65
P(B)=0.30
P(AIB)=0.45
The probability of the values based on the information will be:
1. P(AnB)
= 0.65 × 0.30
= 0.195
2. P(AUB)
= 0.65 + 0.30
= 0.95
3. P(BA)
= P(AnB) / P(B)
= 0.195 / 0.30
= 0.65.
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Find the product of 42/8 × 15/14
Answer:
There are 3 different ways to write it
Step-by-step explanation:
the first one is:
Exact form 45/8
decimal form 5.625
mixed number 5 5/8
Hope this helps
helppp just number 1 :,(
Answer:
9
Step-by-step explanation:
The distance is the positive difference in the coordinates.
[tex]BD=|-6-3|=9 [/tex]
Shirley, Benny, and Gil have a coupon for $2.00 off a large pizza. They each pay one
third of the total after the discount. If each person pays $6, how much was the total
before the discount?
Answer:
20 dollars
Step-by-step explanation:
Because there is 3 people according to where it said the amount of names there are and they each had to pay 6 dollars. 6 x 3 is 18. That is the price after discount. The coupon is 2 dollars so 18 + 2 is 20 dollars. That is the final price.
Estimate 219÷15 by first rounding each number so that it has only 1 nonzero digit.
The estimated result of 219 ÷ 15, by first rounding each number and then dividing, we get the result as 11.
We are given the expression:
219 ÷ 15
We need to estimate the result by first rounding off the digits to nearest tens and then performing division to get the answer.
So, we will first do the round off.
219 will be rounded off to 220
15 will be rounded off to 20
So, the expression will become:
220 ÷ 20
So, now performing the division, we get that:
= 11
Therefore, the estimated result of 219 ÷ 15, by first rounding each number and then dividing, we get the result as 11.
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Divide The quantity 3.185 times ten raised to the seventeenth power end quantity divided by the quantity 9.1 times ten raised to the eighth power end quantity.. Write the final answer in scientific notation.
3.5 x 108
0.35 x 109
3.5 x 109
0.35 x 1025
The division of the numbers in indices will be B. 0.35 × 10^9
How to compute the value?It should be noted that the information is about the division of indices.
This will be:
(3.185 × 10^17) / (9.1 × 10^8)
= 0.35 × 10^9
In conclusion, the correct option is B.
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given: x+y=z, w+v=z, w=y; prove x=v
The salary of salesman per month is Rs. 20000. He gets Rs. 30000 per month with commission, If he gets commission out of Rs. 500000 then, a. What is commission. _b. Calculate the commission rate. .c. Write the formula of commission.
(a) The total commission is Rs. 1,66,666.67.
(b) The commission rate is 33.34%.
(c) The formula for commission is commission rate * money.
The salary of the salesman is Rs. 20,000 per month.Let the commission of the salesman per month be "x".The total amount earned, including the commission, by the salesman per month is Rs. 30,000.The commission for the salesman per month is total money minus the base salary of the salesman.The commission of the salesman per month is Rs. 30,000 - Rs. 20,000.The commission of the salesman per month is Rs. 10,000.The commission rate is the amount of commission divided by the total amount earned.The commission rate is (10,000/30,000)*100%.The commission rate is (1/3)*100%.The commission rate is 33.34%.The total amount is Rs. 5,00,000.The total commission the salesman gets is the product of his commission rate and the total amount of money he gets.The total commission is 33.34% * Rs. 5,00,000.The total commission is Rs. 1,66,666.67.The formula for commission is commission rate * money.To learn more about commission, visit :
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Pls answer this I will mark the brainliest
A basket of fruits, which is on a top of a 1.5m high table has a GPE of 44.12. What is the mass of the basket of fruits?
Answer:
Mass of the basket of fruits ≈ 3 kg
Step-by-step explanation:
Gravitational Potential Energy is the energy stored in an object as a result of its height.
The formula is
GPE = m . g . h where m = mass, g = gravitational force (9.8 N/kg) and h = height (All measures are in metric system)
Therefore m = GPE/(g.h)
Here GPE = 44.12 and h = 1.5m
mass = 44.12 ÷ (9.8 x 1.5) = 44.12 ÷ 14.7 ≈ 3 kg
for all values of x, f(x)=x/5 +3
Answer:
f(g(x)) = 2x² + 4
Step-by-step explanation:
to evaluate f(g(x)) substitute x = g(x) into f(x) , that is
f(g(x))
= f(10x² + 5)
= [tex]\frac{10x^2+5}{5}[/tex] + 3
= [tex]\frac{10x^2}{5}[/tex] + [tex]\frac{5}{5}[/tex] + 3
= 2x² + 1 + 3
= 2x² + 4
Find p75
(Do not Round)
Answer:
a
Step-by-step explanation:
the apple is a baddie
Select all the correct answers.
Which three pairs of side lengths are possible measurements for the triangle?
45°
B
45°
BC = 10, AC=10√/2
AB= 9, AC = 18
OBC:
= 10√3, AC = 20
AB = 9√2, AC
AB= 7, BC = 7√3
AB
= 18
= 14, BC = 14
Answer:
1 , 4 , and 6
Step-by-step explanation:
so , in a 45 45 90 triangle , the lines that are the same length are x . the hypotenuse ( the long diagonal line ) is gonna be [tex]x\sqrt{2}[/tex] . so using that i got the answers . :)
The three pairs are (AB = 6, BC = 6) (AB = 4, AC = 4√2) and (BC = 2√2, AC = 4). So, First option, Option 5. and Option 6 are correct answers.
What is trigonometry?Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
here, we have,
The formula for a 30-60-90 triangle is this:
1) Side opposite to 30 will be value a.
2) Side opposite to 60 will be value a√3
3) Hypotenuse will be 2a.
AB is opposite of the angle with 30 degree measurement.
BC is opposite of the angle with 60 degree measurement.
The sides of an isosceles right triangle are in the ratio,
1:1:√2
where √2 is the hypotenuse.
For the example, BC = 2√2, then AC = 2√2 x √2 = 4.
Therefore, the three pairs are;
1. (AB = 6, BC = 6)
5. (AB = 4, AC = 4√2)
6.(BC = 2√2, AC = 4).
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Judith has just become eligible to participate in her company’s retirement plan. Her company does not match contributions, but the plan does average an annual return of 12%. Judith is 40 and plans to work to age 65. If she contributes $200 per month, how much will she have in her retirement plan at retirement?
Answer:
She will have $375,769.33 in her retirement plan at the time of retirement.
Explanation:
The future value of an annuity is the value of a group of recurring payments at a certain date in the future, assuming a particular rate of return or discount rate.The higher the discount rate, the greater the annuity's future value.According to the question,
Periodic Payments(P) = $200
Rate of Return(r) = 12%(annual)
[tex]=\frac{12}{12}%[/tex]
= 1% monthly
= 0.01
Number of payments(n) = 65 - 40
= 25(annual)
= 25 × 12 monthly
= 300 monthly
Future value =?
The formula for calculating future value is:
Future Value = [tex]P[\frac{(1+i)^{n}-1 }{i}][/tex]
= [tex]200[\frac{(1+0.01)^{300}-1 }{0.01}][/tex]
= [tex]200[\frac{19.7884663-1}{0.01}][/tex]
= 200[1878.84663]
= 375,769.326
= 375,769.33
Final Answer:
Therefore, the future value of her retirement when she retires is
$ 375,769.33 .
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subtract the sum of - 42 and -147 from the difference of - 283 and -415
Answer:
Sum of −42 and −147
=−42+(−147)=−42−147=−189
Difference of −283 and −415
=greater number−smaller number=−283−(−415)=415−283=132
Subtracting −189 from 132
=132−(−189)=132+189=321
251,31 rounded to the nearest thousand
Answer:
25000
Step-by-step explanation:
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From 12.5 liters of coolant containing 13.4% antifreeze, 5.50 liters are removed.
If 5.50 liters of pure antifreeze is then added, how much
antitreeze will be con
tained in the fina mixture?
Answer:
6.438 [litres].
Step-by-step explanation:
1) the condition '5.50 liters are removed' means the coolant 12.5-5.5=7 [litres] with 13.4% solution;
2) the condition 'coolant containing 13.4% antifreeze' means 7*0.134=0.938 [litres] of pure antifreeze in the 7 litres coolant;
3) the condition '5.50 liters of pure antifreeze is then added' means 0.938+5.5 [litres];
4) finally, it is contained 0.938+5.5=6.438 [litres] of antifreeze will be contained in the final mixture.
(30 POINTS) During the first year with a company, Finley was paid an annual salary of $59,000, with an 8% raise for each following year. Which equation represents Finley's annual salary, f (n), during the nth year?
f (n) = 59,000(1.08n – 1)
f (n) = 59,000(0.08n – 1)
f (n) = 59,000(1.08n)
f (n) = 59,000(0.92n)
Answer:
f(n) = 59,000(1.08m - 1)
Step-by-step explanation:
In a survey of 1010 investors, it was determined that 650
invested in stocks, 595 in bonds and 340 in both stocks and
bonds.
a. How many invested in only stocks?
b. How many invested in stocks or bonds?
c. How many did not invest in either stocks or bonds?
The puppy shelter where Isaac works is moving to a new building. The rooms in the new building are built to hold 6 puppies each. Isaac needs to figure out how many rooms he'll need to house a total of 78 puppies.
Use an equation to find the number of rooms Isaac needs.
The equation to find the number of rooms Isaac needs is r = 13.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now it is given that,
1 room holds = 6 puppies
So, 1 puppy acquire = 1/6 room
Let r be the rooms need to house a total of 78 puppies.
Therefore, 78 puppy acquire, r = 78*1/6 room
⇒ r = 78/6 room
⇒ r = 13 room
Thus, the equation to find the number of rooms Isaac needs to house a total of 78 puppies is r = 13.
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89% of 195= What + rounding
Answer:
173.55
Step-by-step explanation:
or if you round 174
What is the area of the triangle?
