To solve (7 × 10^5) + (2 × 10^3), you add the numbers in expanded form (700,000 + 2,000 = 702,000) and then convert to scientific notation (7.02 × 10^5). The correct answer is 7.02 × 10^5.
Explanation:To find the sum of (7 × 10^5) and (2 × 10^3), you first write out these numbers in their expanded form:
7 × 10^5 = 700,0002 × 10^3 = 2,000Adding the two numbers:
700,000 + 2,000 = 702,000
Now, we need to convert 702,000 back into proper scientific notation. To do this:
Find the first non-zero digit from the left, which is 7.Write it down, followed by a decimal point and the rest of the significant figures, which results in 7.02.Count the number of places the decimal point was moved to the left, which is 5. This is the exponent of 10 needed.Therefore, 702,000 is 7.02 × 10^5 in scientific notation, which makes the correct answer:
(7 × 10^5) + (2 × 10^3) = 7.02 × 10^5,
so the correct choice is D) 7.02 × 10^5.
Product of 32x25 and what is the strategy?
I really need help... please?
.
.
.
Two towns have accumulated different amounts of snow. In Town 1, the snow depth is increasing by 3 1/2 inches every hour. In Town 2, the snow depth is increasing by 2 1/4 inches every hour. In how many hours will the snowfalls of the towns be equal? Show your work.
The rec center has two payment choices. Plan A is $35 per month for unlimited visits. Plan B is $15 per month plus $2 per visit. If Nichole will go to the rec center 8 times a month, which is the cheaper plan for her? How much will it cost?
A submarine dives below the surface, heading downward in three moves. If each move downward was 220 feet, where is the submarine after it is finished diving?
The Springfield fifth graders sat on the first floor at Symphony Hall. 35 students sat in each row. How many rows did they fill?
HELP ME PLEASE IM BEGGING YOU!!!!!!
Final answer:
To find the number of rows filled by the Springfield fifth graders, divide the total number of students by the number of students in each row.
Explanation:
To find the number of rows filled by the Springfield fifth graders, you need to divide the total number of students by the number of students sitting in each row. In this case, there were 35 students in each row.
To calculate the number of rows, divide the total number of students by the number of students in each row:
Number of rows = Total number of students / Number of students in each row
Since the total number of students is not mentioned in the question, I cannot provide a specific answer. However, if you have that information, you can substitute it into the formula to find the number of rows.
What is the product of 5 and 1/2 times 1/8? I Want see if I’m right.
( 8 x 10^-3 ) * (0.0002) = ?
In scientific notation please
Which point could be removed in order to make the relation a function? (4 points)
{(−9, −8), (−8, 4), (0, −2), (4, 8), (0, 8), (1, 2)}
Answer:
The correct answer is (0,8)
A train leaves a station at 10:40 a.m. and arrives at its destination at 1:20 p.m. Find the distance between the stations if the average speed of the train was 60 mph.
160 miles.
10:40-11:40 is 60 min., which is 60 miles
11:40-12:40 is 60 min., which is also 60 miles
12:40-1:00 is 20 min. = 20 miles
1:00-1:20 is 20 min. = 20 miles
60+60+20+20 = 160 miles
Answer:
The answer is 160.2 miles.
Step-by-step explanation:
In order to determine the distance, we have to know the total time that train traveled. We know that the train leaves at 10:40 a.m. and arrives at 1:20 p.m.
So,
10:40 a.m. to 11:00 a.m.=20 minutes
11:00 a.m. to 1:00 p.m.=120 minutes
1:00 p.m. to 1:20 p.m.=20 minutes
Then, the total time is 20+120+20=160 minutes. Also we have to know that the speed is the rate of distance per time. The units are miles per hours, thus 160 min=2.67 hours.
S=speed of the train.
D=distance of the train.
T=total time of the train.
[tex]S=\frac{D}{T}\\60=\frac{D}{2.67}\\D=60*2.67\\D=160.2[/tex]
Finally, the distance between the stations is 160.2 miles.
What's the difference between 178 and -395
Jessica wants to record her favorite songs to one cd. The function c=80-3.22n represents the recording time c available after n songs are recorded. Find the zero of this function. Describe what this value means in this context.
The zero of the function c=80-3.22n is approximately 25, which means that Jessica's CD would be completely filled after recording approximately 25 songs.
Explanation:To find the zero of the function c=80-3.22n, we need to set the function to zero and solve for n. 0 = 80 - 3.22n. Solving this gives n = 24.84 (roughly).
In the context of this problem, this zero of the function means that after approximately 25 songs (as we can't have a fraction of a song), Jessica's CD would be completely filled with no remaining recording time.
It's important to note that the actual number of songs Jessica can record depends on the precise length of each song, since this equation assumes each song is the same length, which is unlikely to be strictly true in reality.
Learn more about Zero of a Function here:https://brainly.com/question/31654189
#SPJ11
What is the value of this expression?
(−4) to the fourth power
In May, Liam and Charlie had the same amount of money in their savings accounts. In June, Liam deposited $140 into his account. Charlie said he increased the money in his account by 5%. When they compared their balances, they found that they were still equal. How much money did they both have in their accounts in May?
PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER!
yoy are choosing between two health clubs. Club A offers membership fir a fee if $21 plus a monthly fee of $26. club B offers membership for a fee of $42 plus a monthly fee of $19. After how many months will the total cost of each health club be the same?
how do you factor this expression by dividing by the GCF first. 15c-25
Help me and I will crown you please!!!
Jim is running on a trail that is 5/4 of a mile long. So far he has run 2/3 of the trail. How many miles has he run so far? SHOW YOUR WORK PLZZ!!!! Only answer if you know.
Write the following inequality in slope-intercept form.
5x − 5y ≥ 70
a.)y ≥ x − 14
b.)y ≤ x − 14
c.)y ≥ x + 14
d.)y ≤ x + 14
Final answer:
To convert the inequality 5x - 5y ≥ 70 to slope-intercept form, we solve for y to get y ≤ −x − 14, which is most appropriately represented as option (b.) y ≤ x − 14 after rearranging terms.
Explanation:
To write the inequality 5x − 5y ≥ 70 in slope-intercept form, we need to solve for y. We start by isolating the y-term on one side of the inequality.
First, we subtract 5x from both sides: −5y ≥ 70 − 5x
Next, we divide each term by -5 (remembering to reverse the inequality symbol because we are dividing by a negative number): y ≤ (70/−5) + (5x/−5)
y ≤ −14 − x
Finally, we write x before the constant to follow conventional form:
y ≤ −x − 14
Comparing this result to the multiple-choice options, we can see that none of them exactly match the form we derived. However, we can rewrite our inequality as y ≤ x − 14 by multiplying through by -1 (which will not change the inequality because we are not dividing or multiplying the inequality itself, just rearranging the terms).
Therefore, the correct answer is (b.) y ≤ x − 14.
a professional gambler reported that at the end of the first race at the track he had doubled his money. He bet $31 on the second race and tripled the money he came with. He bet $51 on the third race and quadrupled his original bankroll. He bet $84 on the fourth race and lost it, but still had $40 left. How much money did he start with?
Answer:
The gambler came with $31.
Step-by-step explanation:
Let x be the initial amount.
At the end of the first race at the track he had doubled his money, that is 2x.
He bet $31 on the second race and tripled the money he came with.
Means 3x.
He bet $51 on the third race and quadrupled his original bankroll that is 4x.
He bet $84 on the fourth race and lost it, but still had $40 left.
Summing all the values, we get;
[tex]4x-84=40[/tex]
=> [tex]4x=40+84[/tex]
=> [tex]4x=124[/tex]
=> x = 31
Hence, the gambler came with $31.
Write using algebra.
Jimmy ran m miles in t minutes. What was his speed?
To find Jimmy's speed, divide the distance he ran by the time taken. Speed = Distance/Time. which is m/t.
To find Jimmy's speed, we use the formula Speed = Distance/Time.
Therefore, Jimmy's speed, in miles per minute, is m/t.
For example, if Jimmy ran 5 miles in 10 minutes, his speed would be 0.5 miles per minute (5 miles / 10 minutes = 0.5 miles per minute).
10 PTS!! (5 + 2/8) - (3 7/8)
Hey Guys I need as much help as I can get Please Help This is the question that gets me stuck on all test every bit of help is appreciated
The table below shows the cubes of different numbers:
Number (x)
3
−3
5
−5
Cube of the number (y)
27
−27
125
−125
The table below shows the cubes of different numbers:
Number (x)
3
−3
5
−5
Cube of the number (y)
27
−27
125
−125
Part A: Does the table represent y as a function of x? Justify your answer. (5 points)
Part B: The total cost f(x), in dollars, for renting a car for x days is shown below:
f(x) = 27x + 18
What is the value of f(6) and what does f(6) represent? (5 points)
Find (18 × 106) + (5 × 104). A) 1.8005 × 106 B) 1.8005 × 107 C) 1.805 × 106 D) 1.805 × 107
its d! hope i helped :)
helpppppp
DX
Clayton loves riding Ferris wheels and roller coasters. While visiting the Lee County Fair, he first went on the Ferris wheel 1 time and the roller coaster 4 times, using a total of 23 tickets. Then, after taking a break and having a snack, Clayton went on the Ferris wheel 5 times and the roller coaster 3 times, using a total of 30 tickets. How many tickets does it take to ride each attraction?
It takes ____tickets to ride the Ferris wheel, and ____tickets to ride the roller coaster.
Line ℓ has equation
y
=
x
+
5
.
Find the distance between ℓ and the point
C
(
4
,
-
3
81/27x6-2 (/=dividedby)
Find the value of k if it is known that the graph of y=kx goes through:
B(−30, 3)
Answer:
k=_____
add the point, x=-30, y=3:
y=kx
3=k*-30
3=-30k
-1/10=k
so the final answer:
k= -1/10
what is .000747 in scientific notation
How to write 48 /50 as a percentage
The temperature in Bloomington on Sunday was 32.6°C. On Monday, the temperature changed by -8.25°C. What was the temperature on Monday? -40.85°C