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
#SPJ2
Solve for x in ½ logx64 = 3
(A)
2
(B)
1
(C)
4
(D)
3
Answer:
A
Step-by-step explanation:
Using the rules of logarithms
log[tex]x^{n}[/tex] = n logx
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
Given
[tex]\frac{1}{2}[/tex][tex]log_{x}[/tex] 64 = 3
[tex]log_{x}[/tex][tex]64^{\frac{1}{2} }[/tex] = 3
[tex]log_{x}[/tex] 8 = 3
8 = x³
2³ = x³ , then
x = 2
-
Which equation represents a line which is parallel to the line 7y - 4x = -14?
Oy= 1x + 2
O y = x - 1
O y = -x + 6
Oy = -x - 3
Molly can received her weekly paycheck and she earned a total of $339.25. If she makes
$14.75 per hour, how many hours, h. did she work?
Answer:
2267.25
Step-by-step explanation:
add that fisrt one
Potential energy is described as
Question 1 options:
Stored energy
Decreasing energy
Movement
Friction
Answer:
Stored energy
Step-by-step explanation:
The amount of workers working on a task varies inversely as the amount of time it takes to finish the task. If 10 people can finish a task in 2 weeks, how many days will it take for 15 people to complete the same task?.
The number of days it would take 15 people to complete the task is 9.1 days.
The formula used to represent inverse proportion is:
y = [tex]\frac{k}{x}[/tex]
y = dependent variable x = independent variable k = constant of proportionalityThe information given in the question can be represented with:
2 = k/10
k = 20
The number of weeks it would take 15 people to complete the same task:
20 / 15 = 1.3 weeks = 9.1 days
A similar question was answered here: https://brainly.com/question/19427172
How many sides does a regular polygon have if each interior angle measures 176^{\circ}
∘
Answer:
90 sidesStep-by-step explanation:
There is a relationship between number of sides and interior angle measure of regular polygons:
S = 180(n - 2), where S- sum of interior angles, n - number of sidesWe have now:
176n = 180(n - 2)176n = 180n - 3604n = 360n = 90It's equilateral polygon
Sum of interior angles=176n.n is no of sides
[tex]\\ \sf\longmapsto (2n-4)90=176n[/tex]
[tex]\\ \sf\longmapsto 180n-360=176n[/tex]
[tex]\\ \sf\longmapsto 180n-176n=360[/tex]
[tex]\\ \sf\longmapsto 4n=360[/tex]
[tex]\\ \sf\longmapsto n=4[/tex]
How to find slope intercept form without a point.
Which system of equations could be graphed to solve the equation below? log Subscript 0.5 Baseline x = log Subscript 3 Baseline 2 x
Answer:
Step-by-step explanation:
y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x
11 times 11 in binary . Help i need it today!
Answer:
1011×1011 = 11110011
Step-by-step explanation:
11 in binary is 1011
121 in binary is 1111001
HELPPPP!! question: uppose you put $150 in the bank 1 year ago. A sign at the bank reads 2% simple annual interest.
Fill in the values to complete the table.
45 points!!! help me please
4/5 x 2/35 I need help pls!
Answer: 8/175
Step-by-step explanation:
Answer: 8/175
Step-by-step explanation: to multiply fractions, multiply both numerators first then the denominators.
4x2=8
35x5=175
Which postulate or theorem proves that these two triangles are
congruent?
O ASA Congruence Postulate
O AAS Congruence Theorem
O HL Congruence Theorem
O SAS Congruence Postulateo
Answer: O AAS Congruence Theorem is your answer
Step-by-step explanation: plz give brainliest
What is the slope of the line y=5-4x ?
Show your work
Answer:
-4
Step-by-step explanation:
The equation is in slope-intercept format, y=mx+b. The coefficient in front of the x is the slope as represented by the letter m.
Answer:
Slope = -4
Step-by-step explanation:
The slope can be identified by looking at the coefficient next to the variable, x. In this instance, the coefficient is -4. Therefore, the slope is -4.
I need help pls I'll give brainliest!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]\sqrt{32}[/tex]
Step-by-step explanation:
4^2+ 4^2=c
16+16=32
[tex]\sqrt{32}[/tex]
=5.65685424949
Which function represents a translation of the graph of v=x^2
by 10 units to the left?
O A. v=x^2+10
O B. v=(x+10)^2
O C. y=10x^2
O D, y=(x-10)^2
Answer:
B.
Step-by-step explanation:
That would be y = (x +10)^2.
Mrs. Janssen has a class of 10 students. In her class, there are 4 boys and 6 girls. Mrs. Janssen chooses two students from her class randomly.
What is the probability that she did NOT choose a boy either time?
Probabilities are used to determine the chance of events
The probability that she did NOT choose a boy either time is 1/3
The given parameters are given as:
[tex]\mathbf{n = 10}[/tex] --- total number of students
[tex]\mathbf{Boys = 4}[/tex] --- total number of boys
[tex]\mathbf{Girls = 6}[/tex] ---- total number of girls
If she did not choose a boy in either selection, then it means that both selections are girls.
So, the probability is calculated using:
[tex]\mathbf{P = P(Girl) \times P(Girl)}[/tex]
The selection is without replacement.
So, we have:
[tex]\mathbf{P = \frac{Girl}{n} \times \frac{Girl-1}{n-1}}[/tex]
Substitute known values
[tex]\mathbf{P = \frac{6}{10} \times \frac{6-1}{10-1}}[/tex]
[tex]\mathbf{P = \frac{6}{10} \times \frac{5}{9}}[/tex]
Simplify
[tex]\mathbf{P = \frac{1}{3}}[/tex]
Hence, the probability is 1/3
Read more about probabilities at:
https://brainly.com/question/11234923
Oranges cost 85 cents each.
Leo has a $10 note.
Work out the maximum number of oranges he can buy
Answer:
11
Step-by-step explanation: 100 cents- $1
85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 = 935
935 or 9.35 dollars
A machine depreciates by 1/4 of its value each year. If it cost $50,000 new,
what is its value after 8 years?
Step-by-step explanation:
The price of machine=$50000
depreciates rate (R )=1/4×100%
=25%
Find the number of sides of a regular polygon whose each interior angle is 150 degree ...pls give step by step explaination
Answer:
12
Step-by-step explanation:
the angle is defined by equation ((n-2)*180)/n,where n is number of sides of a regular polygon
so here 180n-360=150n
30n=360
n=12
TRUE OR FALSE , When you divide the numerator of a fraction by the denominator you always get a terminating decimal?
Answer: false.
Step-by-step explanation:
it's only a terminating decimal if you end up with a remainder of 0.
PLEASE HELP ME I REALLY NEED HELP!!
Answer:
Yes, based on ASA or AAS
Step-by-step explanation:
Subtract the two angle values of one triangle from 180 to dictate whether the missing angle is equal to the other triangle.
180-63= 117- 45=72
The triangles are equal/congruent because two angles and a side are the same values on both triangles.
Someone plz help me :(
Answer:
A
Step-by-step explanation:
the ratio shows that for every two songs beth's mom has, beth has one more.
*3 is larger than 2 by 1
meaning, if her mom has 6 songs, then she will have 7
if Beth has 12 songs, her mom would have one less, 11
Find the area of the composite figure made up of a square and a semicircle. Use 3.14 as an approximate for pi and give your nearest square inch. Enter only the number.
Answer:
200.52 in^2
Step-by-step explanation:
to find the area of a circle, you square 6 and multiply it by pi in this case 3.14.
that gives you 113.04 but because this is only a half circle, it is 56.52 in^2.
Next, you need to find the rectangle. multiply 12(length) by 12(Width) to get 144 add 144 to 56.52 to get 200.52.
Hope this helped if it did please give me brainliest it helps me a lot. :)
Hope this helped!
I have no idea how to do these plz help and plz make sure it’s right because I only have 5 questions and will mark brainiest:)
Answer: the answer is d
Step-by-step explanation:
Help.....Me...........PLEASE
Answer:
~corresponding angles
~congruent
~7x-10=6x so x=10
~60⁰ and 60⁰
(PICTURE PROVIDED)
HELPPPPPPP PLS
A: 5/4
B: 3/2
C: 6/5
D: 2/3
Answer:
I think its 6/5 or 2/3
Step-by-step explanation:
Answer:
1. A
2. C
3. D
4. C
5. D
Step-by-step explanation:
You're welcome
Put 62%, 0.71, 0.8, 5/8 in ascending order
Answer:
0.62 < 5/8 < 0.71 < 0.8
That’s it in ascending order
0.8 > 0.71 > 5/8 > 0.62
That’s it in descending order
Step-by-step explanation:
Answer:
62%, 5/8, 0.71, 0.8
Step-by-step explanation:
62% in form of a decimal is 0.62 and 5/8 is 0.625 when u round off its 0.63 which is 0.01 more than 62%. then 0.71 is 0.1 less than 0.8
3(11-2x)=27
solve the equation
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve for x ~
[tex] \sf3(11 - 2x) = 27[/tex][tex]\sf33 - 6x = 27[/tex][tex]\sf - 6x = 27 - 33[/tex][tex] - 6x = - 6[/tex][tex]x = - 6 \div - 6[/tex][tex]x = 1[/tex]Value of x is ~
[tex] \boxed{ \boxed{ \sf \: 1 \: }}[/tex]
[tex]\mathrm{✌ \: Kaul ~✌}[/tex]
What is the slope for M(4,-8 negative) N(6,-1 negative)
Answer:
m=7/2
Step-by-step explanation:
Please help me with this!! - Solve: 5 - 2x < 7
A) x < -1
B) x > -1
C) x < -12
D) x > -12
Answer:
B
Step-by-step explanation:
