Answer:(3x+5) (3x-5)
Step-by-step explanation: a2-b2 =(a+b) (a-b) where a= 3x and b=5
2.34 x 10^65 + 9.2 x10^66
Answer:
9.434 X 10^66
Step-by-step explanation:
2.34 X 10^65 + 9.2 X 10^66 (First, you have to manipulate the exponents to bring them to the same index, i.e. the same power)
We can say that 2.34 X 10^65 = 0.234 X 10^66
Now that the indexes are equivalent, we can proceed to add the two bases together.
0.234 X 10^66 + 9.2 X 10^66
= (0.234 + 9.2) X 10^66
= 9.434 X 10^66
The sum of [tex]\(2.34 \times 10^{65}\)[/tex]and [tex]\(9.2 \times 10^{66}\)[/tex] is[tex]\(9.434 \times 10^{66}\)[/tex]
When adding numbers in scientific notation, it's crucial to align their exponents. In the case of[tex]\(2.34 \times 10^{65}\)[/tex] and [tex]\(9.2 \times 10^{66}\),[/tex] they don't initially share the same exponent. To rectify this, we need to adjust the first number.
First, express[tex]\(2.34 \times 10^{65}\)[/tex]as [tex]\(0.234 \times 10^{66}\)[/tex], moving the decimal point one place to the left. Now, both numbers are in the form[tex]\(A \times 10^{66}\),[/tex]making them compatible for addition.
Next, add the coefficients:[tex]\(0.234 + 9.2 = 9.434\).[/tex]
So, the result is[tex]\(9.434 \times 10^{66}\).[/tex] This number is significantly larger than either of the original numbers. In essence, we're combining a quantity in the tens (0.234) with one in the tens of billions (9.2), resulting in a massive number in the tens of billions of billions (9.434) times 10 raised to the power of 66.
In practical terms, this means that if you were to multiply[tex]\(2.34 \times 10^{65}\)[/tex]by 10 and then add[tex]\(9.2 \times 10^{66}\)[/tex]to it, you would have [tex]\(9.434 \times 10^{66}\)[/tex] as your final answer. This demonstrates the remarkable flexibility and ease of handling extremely large numbers using scientific notation.
Learn more about Scientific Notation here:
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Evaluate the expression.
StartFraction 9 factorial Over 3 factorial EndFraction
Answer:
The answer you should get is 9:3
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
I just did it and got it right.
What is the measurement of arc BEH?
Answer:
180 degrees
Step-by-step explanation:
It is a half circle
Please help with finding probability
PLEASE HELP ANSWER ASAP!
Answer:
Step-by-step explanation:
PLEASE ANSWER FIRST GETS BRAINLIEST
Answer:
The slope of the line on this graph is 1/2.
Step-by-step explanation:
From (-4, 0), go up 2 units to (-4, 2), then go right 4 units to (0, 2). So the slope of this line is 2/4 = 1/2.
Carol has 1/4 of a sheet cake left. if she shares the remaining cake with her 3 friends, how much of the original cake will each friend receive?
Answer:
1/12 of the original
Step-by-step explanation:
If you split 1/4 into 3 equal pieces, then each friend gets 1/12 of the original cake
Find the value of y= 3x - 2 for x=-2
Step-by-step explanation:
Given
x = -2
Now
y = 3x - 2
= 3 * (-2 )-2
= -6 - 2
= -8
Please help me solve this question.
Answer:
21
Step-by-step explanation:
5×3=15
7×3=21
Answer:
Step-by-step explanation:
a) The denominators of variable terms is 5 and 3
As both are prime, least common denominator = 5*3 = 15
b) The denominators of constant terms is 7 and 3
Least common denominator = 7*3 = 21
What is the least common multiple of 6 and 16?
Answer:
48
Step-by-step explanation:
tell me if im wrong pls
please help asap
brainliest answer and five star rating
Here are three systems of equations. Which method (graphing, substitution, elimination) would you choose to solve and why. Use each method only once.
System #1 System #2 System #3
2x + 3y = 12 y = 2x +1 x = 2y + 5
4x + 3y = 18 y =-3x -2 x + 3y = 25
System #1
2x + 3y = 12 and 4x + 3y = 18
I'd use elimination on this one; we subtract equations and the 3y disappears,
2x = 6
x = 3
3y = 18-4x = 18 - 4(3) = 18 = 12 = 6
y = 2
System #2
y = 2x +1 and y =-3x -2
Here I'd use elimination; we have two things equal to y, we eliminate y by setting the right sides equal to each other,
2x + 1 = -3x - 2
5x = -3
x = -3/5
y = 2x+1 = -1/5
check y=-3x -2 = 9/5 - 10/5 = -1/5, good
System #3
x = 2y + 5 and x + 3y = 25
Here I'd use substitution. The first equation is for x in terms of y; if we substitute it into the second equation we'll just have an equation in y.
(2y + 5) +3y = 25
5y + 5 =25
5y = 20
y = 4
x = 2y+5 = 13
y = 3/2x + 5/4 −2x + 8y = −25
Answer:
x = -347 1/2Step-by-step explanation:
When solving algebra, it is important the we follow the steps in correct order and check our answer at the end.
Step 1: Simplify by combining like terms
y = -x/2 + 5/4 + 8y = -25
Step 2: Substitute
y = -25
-25 = -x/2 + 5/4 + 8(-25)
-25 = -x/2 + 5/4 + -200
-25 = -x/2 - 198 3/4
Step 3: Answer
x = -347 1/2
Step 4: Check
y = 3/2x + 5/4 −2x + 8y = −25
-25 = 3/2(-347 1/2) + 5/4 −2(-347 1/2) + 8(-25)
-25 = -25✔️
Step 5: Verified Answer
x = -347 1/2
I'm always happy to help :)
Select all the correct systems of equations.
Which systems of equations have no solution?
Answer:
Answers are below
Step-by-step explanation:
3y = 10 - x
2x + 6y = 7 This set is correct because it is lined up correctly.
y = 13 - 2x
4x - y = -1 This set is also correct because it is lined up correctly.
The equations that have no solutions are:
x + 4y = 23
- 3x = 12y +1 These equations don't touch
3y = 10 - x
2x + 6y = 7 These equations don't touch
If these answers are correct, please make me Brainliest!
Answer:
x + 4y = 23
- 3x = 12y +1
3y = 10 - x
2x + 6y = 7
Step-by-step explanation:
What is the median value of the data set shown on the line plot?
Enter your answer in the box.
Answer:
6
Step-by-step explanation:
there are 25 acres of land on a farm. the owners planted corn on 68 percent of the land. on how many acres did they not plant corn?
Answer:
8 acres of land they did not plant the corn.
Step-by-step explanation:
GIven:
There are 25 acres of land on a farm.
The owners planted corn on 68 percent of the land.
Now, to find the acres they did not plant the corn.
Total acres of land on the farm = 25 acres.
Rate of land owners planted the corn = 68%.
Now, to get the acres of land owners planted the corn:
[tex]68\%\ of\ 25\\\\=\frac{68}{100} \times 25\\\\=0.68\times 25\\\\=17\ acres.[/tex]
Thus, 3.4 acres of land owners planted the corn.
Now, to get the acres land owners did not planted the corn we subtract the acres of land owners planted the corn from the total acres of land:
[tex]25\ acres-17\ acres\\\\=8\ acres.[/tex]
Therefore, 8 acres of land they did not plant the corn.
What’s 1/4+1/3 equal
Answer:
7/12
Step-by-step explanation:
1/4 +1/3
We need to get a common denominator of 12
1/4*3/3 = 3/12
1/3 *4/4 = 4/12
3/12+4/12 = 7/12
Answer:
The answer is 7/12.
Explanation:
1/3 = 4/12
1/4 = 3/12
4 + 3 = 7
Compare √42 and √58 plotted on the number line. What is the approximate difference in tenths between the two values? A number line going from 6 to 10. StartRoot 42 EndRoot is plotted between 6 and 7, and StartRoot 58 EndRoot is plotted between 7 and 8. StartRoot 58 EndRoot is about greater than StartRoot 42 EndRoot.
Answer:
11/10
Step-by-step explanation:
Your calculator will tell you that √58 ≈ 7.62 and √42 ≈ 6.48. The difference of these numbers is ...
7.62 -6.48 = 1.14 ≈ 1.1
The difference is about 11 tenths.
_____
You should be able to count the divisions on the number line to arrive at this conclusion.
⇒ 1.2 is your answer.
What is the exact circumference of the circle?
Answer:
50.24
Step-by-step explanation:
Take the diameter and multiply by 3.14 so 16 times 3.14
Answer:
State that the circunference of a circle is equal to:
[tex]C=\pi d[/tex], where C is the circumference and d is the diameter
So, once d = 16 in
Therefore, [tex]C=16\pi[/tex] in
8 WILL GIVE BRAINLIEST *
Which value is the solution of the equation 8.25r=554.4?
Answer:
r=67.2
Step-by-step explanation:
Answer:
r = 67.2
Step-by-step explanation:
8.25r = 554.4
divide 8.25 from both sides
r = 554.4/8.25 = 67.2
r = 67.2
A grocery chain conducted a random survey to determine the favorite flavor of a new potato crisp. The results are shown on the table. Which flavor is LEAST LIKELY to sell if stocked by the grocery chain?
A) Ranch Crisps 3/25
B) Salsa Crisps 7/20
C) Cheese Crisps 7/25
D) Barbecue Crisps
Answer:
if barbecue chips don't have any votes then D is the answer, if they do have votes then the answer may be A
Step-by-step explanation:
Answer:
Its barbecue crisps because no one choosed it !
Step-by-step explanation:
Jim bought 4 apples. Hank bought four times as many as Jim. How many apples did they buy total? A) 16 B) 18 C) 20 D) 24
Answer:
A
Step-by-step explanation:
4x4 = 16
Answer:
A
Step-by-step explanation:
Transform the following equation into slope-intercept. Need help on my homework ASAP
Answer:
wait is that rlly u?
Step-by-step explanation:
its me ethan
What is the answer to this question?
Answer:
b
Step-by-step explanation:
Peter bought 4 1/ 2 ft of cable wire. The cable wire cost $1.80 a foot. How much did Peter pay for the cable wire? A student solved the problem this way. 41 2 feet =4.5 feet Let n represent the amount Peter paid for the cable wire. n=4.5×$1.80 n=$8.10 Peter paid $8.10 for the cable wire. Use a similar strategy to solve this problem. Bobby bought 35 12 ft of red ribbon and 51 12 ft of yellow ribbon. Ribbon costs $1.20 a foot. How much did Bobby spend on ribbon?
he payed 8.10$
bobby wasted 14.4 on the red ribbon
bobby wasted 6134.4 on yellow ribbon
together he wasted 6148.8
Answer:
$ 8.1
Step-by-step explanation:
To find 4 1/2 ft of cable wire you need to find what one foot of cable wire is which is $1.80.
So now add $1.80 four times:
1.80 + 1.80 + 1.80 + 1.80 = 7.20
It will cost $7.20 for four feet of cable wire
Now you have to do a half of $ 1.80
1.8 / 2 = 0.90
Now add 7.2 and 0.90 together
7.2 + 0.9 = 8.10
So Peter would need to buy $ 8.10 of cable wire for 4 1/2 ft.
Which equation represents:
"An unknown integer, multiplied by the unknown integer minus a different unknown integer, equals 100."
A) x2 + xy + 100 = 0
B) x2 + xy − 100 = 0
C) x2 − xy + 100 = 0
D) x2 − xy − 100 = 0
Answer:
D
Step-by-step explanation:
The first unknown integer will be x. The second one will be y.
x^2 - xy = 100
This is the same one as
x^2 - xy - 100 = 0
Please help ! And explain if u can
Answer:
Scalene Triangle
Step-by-step explanation:
If you mark the points on the graph, all three sides have different lengths and angles, therefor it is a scalene triangle.
It cannot be a right triangke bc there is no right angle, and no obtuse either so that crosses out obtuse as an option as well. In order to be an isoceles triangle it must have two sides of equal length, but it does not.
What are the zeros of f(x) = x2 + x - 12?
O A. x= -4 and x = 3
O B. x=-6 and x = 2
O c. x=-2 and x = 6
D. x = -3 and x = 4
Answer:
Ans- A
Step-by-step explanation:
When you have a quadratic like this, f(x) = [tex]x^{2}[/tex] + x - 12,
factorize it first.
Then you'll get f(x)= (x-3)*(x+4)
Finally, you set:
0= (x-3)*(x+4)
Just use the null factor law, and there you go.
x= 3 or x=-4
Have a nice day :)
The zeros of the given quadratic equation is equivalent to 3 and -4. Option A
Determining the zeros of a quadratic equationGiven the quadratic equation below:
f(x) = x² + x - 12
Factorising the expression, we will have:
f(x) = x² + 4x - 3x - 12
Factor
f(x) = (x² + 4x) - (3x + 12)
f(x) = x(x+4) - 3(x + 4)
f(x) = (x - 3)(x+4)
If f(x) = 0
(x - 3)(x+4) = 0
x = 3 and -4
Hence the zeros of f(x) = x^2 + x - 12 are 3 and -4.
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From a standard deck of 52 cards, what is the
probability of drawing one card that is either a
heart or a 2?
Answer:
32.692307692308%
Step-by-step explanation:
Let's go over the facts we know:
- There are 13 hearts in a deck of cards, 2 through ace
- There are 4 "2's" in a deck of cards, one for each suit
- There are 52 cards in a standard deck
The first step is to find the ratio.
Add the 13 hearts to the 4 "2's" to get the amount of cards to be drawn.
13 + 4 = 17.
Based on this, we know the ratio of hearts and "2's" to total cards is 17:52.
In other words, there is a 17 out of 52 chance that the card drawn will be a heart or a 2.
Now, we need to convert it to a percentage. To do so, divide 100 by 52. We get 1.92307692308. Now, multiply both 52 and 17 by 1.92307692308, and put the product with 17 as the numerator of the fraction and the product with 52 as the denominator. We get 32.692307692308/100. As a percent, this is written as 32.692307692308%
Therefore, the final answer is 32.692307692308%.
(1) 1 (3) 3
(2) -2 (4) 7
Answer:
-38
Step-by-step explanation:
Joseph is traveling on a road trip. The distance, d, he travels before stopping for lunch varies directly with the speed, v, he travels. He can travel 120 miles at a speed of 60 mph.
Write the equation that relates d and v.
How far would he travel before stopping for lunch at a rate of 65 mph?
d = kv
Substitute the 60 and 120 in.
120 = k * 60
k = 2
So, d = 2v
If v is 65, what is d?
2 * 65 = 130 miles
Final answer:
The distance Joseph travels before stopping for lunch varies directly with his speed. The equation that relates distance, d, and speed, v, is d = 2v. At a speed of 65 mph, Joseph would travel 130 miles before stopping for lunch.
Explanation:
Joseph's road trip scenario involves a direct variation between the distance traveled, d, and the speed, v, at which he travels. Since we know that he travels 120 miles at a speed of 60 mph, we can write the equation of direct variation as d = kv, where k is the constant of variation.
To find the value of k, we use the information given: d = 120 miles when v = 60 mph. So, we have 120 = k ×60.
To find k, we divide both sides by 60: k = 120 / 60 = 2. This tells us that the distance traveled varies with twice the speed. Thus, the equation relating d and v is d = 2v.
To determine how far Joseph would travel before stopping for lunch at a rate of 65 mph, we substitute v with 65 into the equation: d = 2 ×65, which calculates to d = 130 miles.