Evaluate the following by writing it as a difference of two squares first:
103^2 − 97^2
Answer:
1200
Step-by-step explanation:
A difference of 2 squares factors in general as
a² - b² = (a - b)(a + b) , then
103² - 97²
= (103 - 97)(103 + 97)
= 6 × 200
= 1200
The correct answer is 1200.
What is the difference between two squares called?Where one perfect square is subtracted from another, is called a difference of two squares. It arises when (a − b) and (a + b) are multiplied together. This is one example of what is called a special product.
A difference of 2 squares factors in general is written as
a² - b² = (a - b)(a + b) , then
103² - 97²
= (103 - 97)(103 + 97)
= 6 × 200
= 1200
Learn more about the difference of 2 squares here https://brainly.com/question/3189867
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Noah earns $9.65 per hour. How much will he
earn next week if he works 18 hours?
Answer:
$1215.90
Step-by-step explanation
You take Noah's pay per hour of $9.65 then multiply it by how many hours he works 18. You then take that and multiply it by 7 for the days of the week.
How to find binary equivalent of a number.
If Susan can type 72 words per minute, how long will it take her to type her 360 word essay?
Answer:
5 minutes
Step-by-step explanation:
72/1 = 360/5
Can someone please answer for d and b
Answer:
d=2√2, b=[tex]\frac{3\sqrt{2}}{2}[/tex]
Step-by-step explanation:
first triangle is a 30-60-90
so, sides x-x√2-2x
x=2
therefore d=2√2
second triangle is 45-45-60
sides, 1-1-√2
which means b√2=6
b=6/√2 ---> multiply by √2/√2 to get ride of the √2 denominator
b=6√2/4 , simplify
b=[tex]\frac{3\sqrt{2}}{2}[/tex]
Mr.smith has 28 children in his class. If he wants to give each child 2 sweets how many sweets dose he need to buy?
solve for a. 15-a/12=22
Answer:
15-22=a/12
-7=a/12
12(-7)=a
-84=a
Step-by-step explanation:
what is the circumference of a circle with diameter 14-inches long
Answer:
the circumstance is 43.98
Solve for r.
-70 +1 > 22
OR
102 +41 81
why do u get to determain how many daily limits i can have u encourge alot of a ton people to buy you're vip for over priced prices it dum and so is youre app
Consider this product. x^2-4x-21/3x^3+6x x^2+8x/x^2+11x+24 Which values are excluded values for the product?
Using the domain, it is found that x = -8 is excluded for the product.
The domain of a function is the set that contains all possible input values.
In a fraction, the denominator cannot be 0.In this problem, there are two fractions, and the points outside the domain, that is, the roots of the denominators, are excluded.
For the first fraction, they are:
[tex]3x^2 + 6x = 0[/tex]
[tex]3x(x + 2) = 0[/tex]
[tex]3x = 0 \rightarrow x = 0[/tex]
[tex]x + 2 = 0 \rightarrow x = -2[/tex]
Hence, x = -2(not an option) is excluded.
x = 0 can be factored with the numerator of the second fraction, so not excluded.For the second fraction, the roots of the denominator are:
[tex]x^2 + 11x + 24 = 0[/tex]
Which is a quadratic equation with coefficients [tex]a = 1, b = 11, c = 24[/tex], hence:
[tex]\Delta = b^2 - 4ac = 11^2 - 4(1)(24) = 121 - 96 = 25[/tex]
[tex]x_1 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-11 - 5}{2} = -8[/tex]
[tex]x_2 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-11 + 5}{2} = -3[/tex]
x = -3 can be factored with the numerator of the first fraction, so only x = -8 is excluded.
A similar problem is given at https://brainly.com/question/13136492
Answer:
0, -3, -8
Step-by-step explanation:
solve my math question
Answer:
letter C
Step-by-step explanation:
keep learning On math
A survey was given to a random sample of 80 residents of a town to determine
whether they support a new plan to raise taxes in order to increase education
spending. Of those surveyed, 40 respondents said they were in favor of the plan.
Answer:
sorry i dont quite understand your question .
Ratio would be 1/2 or 50:100 in terms to 40:80
Step-by-step explanation:
if this was more or less of a GOVT question for history or law class then the answer would be " If no candidate for president receives an absolute majority of the electoral votes, pursuant to the 12th Amendment, the House of Representatives is required to go into session immediately to choose a president from among the three candidates who received the most electoral votes. "
Hey y’all pls help me , what’s the answer :))
Answer:
r — 7.5 > -8
Step-by-step explanation:
r — 7.5 < —8 is r < - 0.5
—r — 7.5 > -8 is r < 0.5
—r — 7.5 > 8 is r < -15.5
r — 7.5 > -8 is r > -0.5
If you replace r with 17 the only that would be true is r — 7.5 > -8 cause 17 - 7.5 > -8 = 9.5 > -8 making the sentence true.
workout the perimeter of this shape 3cm 5cm 2cm 6cm
Answer:
Perimeter is 16 cm
Step-by-step explanation:
3+5+2+6=16
im assuming the amounts given are the side lengths
Pls help ASAPI don’t understand can you show steps too pls
Answer:
x = -2 , y = -1
(-2,-1)
You have 5 shirts, 6 pairs of pants, and 8 hats. How many outfits can you make consisting of one shirt, one pair of pants, and one hat
Answer:
240
Step-by-step explanation:
You would do 5x6x8 to get all the combinations, and that would equal 240
The area of the octagon below is 10,391. 9 square millimeters. An octagon has an apothem of 56 millimeters and an area of 10,391. 90 square millimeters. What is the approximate perimeter of the octagon? Round to the nearest whole number. Mm What is the approximate length of one side of the octagon? Round to the nearest whole number. Mm.
The perimeter of the octogon is 371.14 millimeters, and each side is about 46.4 millimeters.
Given that an octagon has an apothem of 56 millimeters and an area of 10,391.90 square millimeters, to determine what is the approximate perimeter of the octagon and what is the approximate length of one side of the octagon, the following calculation must be performed:
(Perimeter x apothem) / 2 = Area 56X / 2 = 10,391.90 56X = 10,391.90 x 2 X = 20,783.80 / 56 X = 371,139 371.14 / 8 = 46.4
Therefore, the perimeter of the octagon is 371.14 millimeters, and each side is about 46.4 millimeters.
Learn more about maths in https://brainly.com/question/25749130
Answer:
Perimeter is 371mm
Length of one side is 46mm
Step-by-step explanation:
Got it right on Edge :)
So if y varies directly as x, and y=21 when x=3. What is x when y=42?
Answer:
x = 6
Step-by-step explanation:
Equation:
[tex]\frac{3}{21} = \frac{x}{42}\\\\Cross - multiply\\\\3 *42 = 21x\\\\126 = 21x\\\\x = 6[/tex]
-Chetan K
What is free energy.
Answer:
free energy, in thermodynamics, energy-like property or state function of a system in thermodynamic equilibrium. Free energy has the dimensions of energy, and its value is determined by the state of the system and not by its history.
-4x-3y=5 3x-2y=-8 Solve by substitution
Answer:
look at the picture ..........
Answer:
y=1
x=-2
Step-by-step explanation:
Lets use substitution for the first equation:
-4x=5+3y
Divide by -4 on both sides : x=-5/4-3/4y
Now we substitute x into the second equation:
3(-5/4-3/4y)-2y=-8
Simplify : -15/4-9/4y-2y=-8
Combine Like Terms : -15/4-17/4y=-8
Isolate the Variable : -17/4y=-17/4
y=1
Now we get that x is -5/4-3/4, which is -8/4=-2
x=-2
PLEASE HELP AND EXPLAIN ALSO SHOW WORK
Answer:
x=10
Step-by-step explanation:
Make 2x the only variable on the left side of the equation. Do that by taking 3 and 5 to the left. Note: if you move/transpose any number the sign must change.
2x = 18+5-3
2x=20
Divide both sides of the equation by 2 to make x the only variable left.
x=10
Identify the solution for the system of equations graphed here.
A) (1,1)
B) (-1,1)
C) (1,-1)
D) (-1, -1)
Answer:
c) (1,-1)
Step-by-step explanation:
I hope this helps
Actually the answer is 7560.Because 3 1/2 X 2x4 X 4, 4 1/2 X x5 X 1=7560
Answer:
k
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE ASAP!
Answer:
The correct answer is approximately 20 ft !
Please mark me brainliest if you are able to do it :)
the answer is 20,336 ft
6,200 mm is 6,2 m and you multiply it with 3,28 feet then you get the answer.
what would the answer be need help
Answer:
The equation would change to be f(x) = 12x + 50
Step-by-step explanation:
The equation given follows the form y = mx + b. In the equation, m = the charge in dollars per person, with x representing the amount of people, and b = the initial reservation fee.
This means that if you change the charge per person, the m value will change, and if you change the reservation fee, the b value will change.
Thus, your new equation will be f(x) = 12x + 50
The temperature of a substance was - 11°C at first. Its temperature increased and reached a temperature of 25°C in 30 minutes. Find the average temperature change of the substance in degrees Celsius per second.
Answer:
in 30 minutes it changed
36°C
as per that
for every one second
30minutes = 1800 seconds
so it is 36/1800
so answer Is 0.02
The picture shows the $4.88 Josephine spent on a package of 4 pens.
Drag the money below to the box to show how much each pen cost.
Answer:
4 dollars 8 dimes 8 pennies
Step-by-step explanation:
Answer:
Each pen costs $1.22, which means that you would have to drag a $1 bill, 2 dimes, and 2 Penny's into the box.
A recipe calls for 15 cup of milk for every 28 cup of flour. If Kenny wants to double the recipe, how many cups of flour will he need?
Answer:
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
well if the recipe is 28 cups of flower, and he wants to double it, Then its 56, the milk is extrenuis info.
What are the zeros of f(x) = (x - 2)(x + 7)? Select all that apply.
x= 7
O x=2
0
x= -2
Ox--7
Solve each set of parentheses so they equal 0:
(X-2) = 0 add 2 to both sides : x = 2
(X + 7) = 0 subtract 7 from both sides: x = -7
The zeros are 2 and -7
Answer:
Value of x could be = 2 or -7
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
