Answers
Step-by-step explanation:
To add these two numbers, we simply add their corresponding place values:
(5.87 x 10^7) + (2.7 x 10^6)
To align the numbers correctly, we need to adjust the second number:
(5.87 x 10^7) + (0.27 x 10^7)
Now, we can add the numbers:
(5.87 + 0.27) x 10^7
= 6.14 x 10^7
Therefore, (5.87 x 10^7) + (2.7 x 10^6) equals 6.14 x 10^7.Related Questions
At noon, Trevor and Kim start running from the same point. Trevor runs east at a speed of 8 km/h and Kim runs west at a speed of 6 km/h. At what time will they be 21 km apart?
Answers
Trevor and Kim will be situated 21 kilometers apart from each other at 1:30 PM. They will be separated by a distance of 21 km when the clock strikes 1:30 in the afternoon.
To determine at what time Trevor and Kim will be 21 km apart, we can set up a distance-time equation based on their relative speeds and distances.
Let's assume that t represents the time elapsed in hours since noon. At time t, Trevor would have traveled a distance of 8t km, while Kim would have traveled a distance of 6t km in the opposite direction.
Since they are running in opposite directions, the total distance between them is the sum of the distances they have traveled:
Total distance = 8t + 6t
We want to find the time when this total distance equals 21 km:
8t + 6t = 21
Combining like terms, we have:
14t = 21
To solve for t, we divide both sides of the equation by 14:
t = 21 / 14
Simplifying, we find:
t = 3 / 2
So, they will be 21 km apart after 3/2 hours, which is equivalent to 1 hour and 30 minutes.
Therefore, Trevor and Kim will be 21 km apart at 1:30 PM.
For more such question on distance . visit :
https://brainly.com/question/30395212
#SPJ8
You move down 7 units. You end at (7, 3). Where did you start?
How do I solve it

Answers
Answer: (7,10)
Step-by-step explanation:
The graph of the function f ( x ) is shown
Answers
The true statements for the given function f(x) are:
The value of g(1) is 3 and the y- intercept of g(x) is at the point (0, 1) .
How to calculate the values of the function?The function g(x) = f( x - 3 )
g (1) = f (1 -3 )
= f (-2 )
= 3
g (-1) = f (-1 -3)
= f (-4)
= - 1
Substituting , x = 0 to find the y intercept of g(x)
g ( 0 ) = f ( 0 - 3)
=f (-3)
=1
The y intercept of g(x) is at the point (0, 1)
Thus, options 1 and 4 are the true statements for the given function.
What are functions?Function is a mathematical phrase, rule, or law that establishes the relationship between an independent variable and a dependent variable.In science, engineering, and the majority of the mathematical disciplines, functions are often utilized.Functions are reportedly the central objects of inquiry in the majority of mathematical disciplines. Although some authors establish a distinction between maps and functions, functions are also referred to as maps or mappings.To learn more about functions, refer:
https://brainly.com/question/25638609
#SPJ1
13) A hexagon has 6 equal sides! Ms. Sears asked the students to find the perimeter if all sides are equal to 2x + y. One student found the solution to be 18xy and another thinks it is 9xy. Is either solution correct? Show your work to justify your answer.
Answers
Answer:
None of the answers are right
Step-by-step explanation:
Since a hexagon has 6 sides, and perimeter is the length of all the sides summed up, we can multiply 6 by 2x+y to find the perimeter.
6(2x+y)
Distribute the 6 to each term in the parentheses:
6(2x)+6(y)
12x+6y is the perimeter. None of the answers are right.
In 2010, the population of a city was 167,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 3%. How much did the population decrease from 2015 to 2020, to the nearest 100 people?
Answers
The population decreased by 5,400 people from 2015 to 2020.
By how much did the population decrease?Also known as population decline, means the reduction in a human population size
Population in 2015 = Population in 2010 + Growth from 2010 to 2015
Population in 2015 = 167,000 + (8% of 167,000)
Population in 2015 = 167,000 + 13,360
Population in 2015 = 180,360
Population in 2020 = Population in 2015 - Decrease from 2015 to 2020
Population in 2020 = 180,360 - (3% of 180,360)
Population in 2020 = 180,360 - 5,411.8
Population in 2020 = 174,948.2
The population decrease from 2015 to 2020 is:
= Population in 2015 - Population in 2020
= 180,360 - 174,948.2
= 5,411.8
= 5,400 to nearest 100 people.
Read more about population
brainly.com/question/29885712
#SPJ1
If the distance to the object is more than about 0.4 mm , then you can use the small-angle approximation tan(θ)≈θtan(θ)≈θ . What is the formula for the distance DDD to the object, if you make use of this approximation?
Answers
The answer is \(\frac{d}{D}=n_{a} \mid n_{w}\)
Given that,
If the distance to the object is more than about \($0.4^{m}$\), Then you can use the Small-angle approximation \($(\tan \theta)=\theta$\).
Need to find the formula for the distance D to the object, if you make use of the approximation.
Now,
We are expressing the answer in the terms of \($\theta_{w}$\) and l.
\($D=l \mid \theta_{w}$\)
Now, use the expression found in part c for the distance between your eyes and the object at point O, and find the ratio of the apparent distance to the real distance d/D.
Remember that the apparent distance is the distance calculated by your eyes using the angle \($\theta_{a}$\),instead of the angle \($\theta_{w}$\).
Since we are dealing with small angles, you nay We the approximations \($\sin (x) \approx x$\) and \($a \sin (x) \approx x$\)Exress your answer in terms of\($n_{w}$\) and $n_{a}$.
\(\frac{d}{D}=n_{a} \mid n_{w}\)
What is distance ?
Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.While distance and displacement appear to have the same meaning, they actually have very different definitions and implications. Displacement is the measurement of "how far an object is out of place," whereas distance refers to "how much ground an object has covered during its motion." Let's examine the distinction between distance and displacement in this post.To learn more about to distance visit?
https://brainly.com/question/15172156?
#SPJ4
rectangle ABCD has certified A(6,4) , B(1,4) and C(1,5) what are the coordinates of point D
Answers
Answer: (6, 5)
Step-by-step explanation: If you were to graph this rectangle, you would see that D has the same x as A and the same y as C
2. Determine the points of intersection of each pair of functions. a) y = 4x^– 15x + 20 and y = 5x – 4 = - - b) y = - 2x^ + 9x +9 and y = - 3x – 5
Answers
To determine the points of intersection we first equate the expressions, then we solve for x. Once we have the values of x for which the functions are equal we plu them on one of the function to find its corresponding value of y.
a)
Let's equate the functions and solve for x:
\(\begin{gathered} 4x^2-15x+20=5x-4 \\ 4x^2-15x-5x+20+4=0 \\ 4x^2-20x+24=0 \\ 4(x^2-5x+6)=0 \\ x^2-5x+6=0 \\ (x-3)(x-2)=0 \\ \text{ then} \\ x=3 \\ or \\ x=2 \end{gathered}\)Now we find the corresponding values of y for each value of x; to do this we use the second equation.
When x=3:
\(\begin{gathered} y=5(3)-4 \\ y=15-4 \\ y=11 \end{gathered}\)Hence the functions intersect at (3,11)
When x=2:
\(\begin{gathered} y=5(2)-4 \\ y=10-4 \\ y=6 \end{gathered}\)Hence the functions intersect at (2,6)
Therefore the function intersect at the points (3,11) and (2,6).
b)
Let's equate the functions and solve for x:
\(\begin{gathered} -2x^2+9x+9=-3x-5 \\ 2x^2-9x-9-3x-5=0 \\ 2x^2-12x-14=0 \\ 2(x^2-6x-7)=0 \\ x^2-6x-7=0 \\ (x-7)(x+1)=0 \\ \text{ then} \\ x=7 \\ or \\ x=-1 \end{gathered}\)Now we find the corresponding values of y for each value of x; to do this we use the second equation.
When x=7:
\(\begin{gathered} y=-3(7)-5 \\ y=-21-5 \\ y=-26 \end{gathered}\)Hence the functions intersect at (7,-26)
When x=-1:
\(\begin{gathered} y=-3(-1)-5 \\ y=3-5 \\ y=-2 \end{gathered}\)Hence the functions intersect at (-1,-2)
Therefore the function intersect at the points (7,-26) and (-1,-2).
estimate the probability of winning $80 within 1000 sequential bets. explain your reasoning thoroughly.
Answers
The probability of winning $80 within 1000 sequential bets utilizing the Martingale strategy is close to 0%.
The probability of winning $80 using the Martingale strategy is close to 0% because the probability of winning at each bet is 0.47. This means that the expected value of our winnings after 1000 sequential bets is close to 0.
If we lose more than 4 times in a row (which is very likely if we have 1000 sequential bets), we have to double our bet each time and therefore we would need more money than what we initially have in order to keep betting. This means that the expected value of our winnings converges to 0 as the number of sequential bets increases.
Furthermore, the standard deviation of our winnings also converges to 0 as the number of sequential bets increases because the expected value of our winnings is 0. This means that the probability of winning any amount of money is close to 0.
For more questions like Probability click the link below:
https://brainly.com/question/30034780
#SPJ4
The complete question is attached below.
What are the zeros of the function h (x) = x² + 3x - 8?
A
x = -8 and x = -2
OB
x= -8 and x = 2
cx = -2 and x = 8
OD x = 2 and x = 8
Answers
The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.
Describe functions.Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.
The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.
By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.
h(x) = x² + 3x - 8 = 0
We may factor the left side of the equation to find x:
x² + 3x - 8 = (x-2)(x+4) = 0
We set each factor to zero and solve for x to discover the zeroes:
x-2 = 0 or x+4 = 0
x = 2 or x = -4
Consequently, the function's zeros are x = 2 and x = -4.
So, A is the right response. x = -4 and x = 2
To know more about functions visit:
https://brainly.com/question/29120892
#SPJ1
The complete question is
What are the zeros of the function h (x) = x² + 3x - 8?
A. x = -4 and x = -2
B. x= -8 and x = 2
C. x = -2 and x = 8
D. x = 2 and x = 8
5 1⁄3 - 4 5⁄6
help
NOQWWWWW
Answers
= 16/3 - 29/6
=32/6- 29/6
=32-29/6
= 3/6
= 1/2
Find the Perimeter of the figure below , composed of a rectangle and a semicircle Round to the nearest tenths place.
Answers
The perimeter of the figure is 53.7.
What is perimeter?Perimeter can be defined as the total distance around a object.
To calculate the perimeter of the the figure below, we use the formula below.
Formula:
P = 2l+w+πw/2.......... Equation 1From the diagram,
Given:
l = 14w = 10π = 22Substitute these values into equation 1
P = (2×14)+10+(3.14×10/2)P = 28+10+15.7P = 53.7Hence, the perimeter of the figure is 53.7
Learn more about perimeter here: https://brainly.com/question/19819849
#SPJ1
I need help with the second one plz help now 50 points
Answers
Answer:
If the temp is higher so is the amount of people on the beach
Step-by-step explanation:
there are 24 students in a spelling bee. how many ways can the students win first second or third place?
Answers
Answer:
spell
Step-by-step explanation:
spelling the answer correctly
Giving brainliest easy question
Answers
Answer:
B
Step-by-step explanation:
Since you have the adjacent value, the best way to do this is with tangent. You can do tan(50) = x/3. From there you multiply by 3, and get x = 3(tan50)
Circle any of the following that are isotopes of gallium-69. Explain your choices in 1-2 sentences.
Ga71
31
Ga69
30
Ga67
31
Ga66
32
Answers
The isotopes of gallium-69 are Ga71 and Ga67.
Ga71 is an isotope of gallium-69 because it has the same number of protons (31) but a different number of neutrons (40) compared to the standard isotope of gallium-69 (31 protons and 38 neutrons).
Ga67 is another isotope of gallium-69 because it also has 31 protons but a different number of neutrons (36) compared to the standard isotope of gallium-69.
These isotopes have different mass numbers due to the varying number of neutrons, while still retaining the same number of protons. Isotopes of an element have the same atomic number (number of protons) but different mass numbers.
To know more about isotopes and their properties, refer here:
https://brainly.com/question/28039996#
#SPJ11
when solving an oblique triangle given three sides, use the ---select--- form of the law of cosines to solve for an angle.
Answers
When solving an oblique triangle given three sides, use the inverse cosine form of the Law of cosines to solve for an angle.
When solving an "oblique-triangle" given three sides, we would use the inverse cosine, form of the Law of Cosines to solve for an angle.
The "Inverse-Cosine" function allows us to find the measure of an angle when given the ratio of the lengths of the triangle's sides.
The "Law-of-Cosines" relates the lengths of the sides of a triangle to the cosine of one of its angles.
The "Law-of-Cosines" states that for any triangle with sides of lengths a, b, and c, and opposite angles A, B, and C, respectively:
⇒ c² = a² + b² - 2ab × cos(C),
To solve for an angle, we would rearrange the equation to find the cosine of the angle,
⇒ Cos(C) = (a² + b² - c²)/(2ab),
Then, we will take the inverse cosine of both sides of the equation to find the value of the angle,
⇒ C = cos⁻¹((a² + b² - c²)/(2ab)),
This helps us to find the measure of angle C, depending on the units used in the original triangle sides.
Learn more about Law Of Cosines here
https://brainly.com/question/30766161
#SPJ4
The given question is incomplete, the complete question is
When solving an oblique triangle given three sides, use the _____ form of the Law of cosines to solve for an angle.
the moon's orbit about the earth is an ellipse with the earth at one focus. if the major and minor axes of the ellipse have lengths of 474000 miles and 473000 miles respectively, what are the greatest and least distances from the earth to the moon?
Answers
Let's call the distance from the center of the ellipse to one focus "c." We can find "c" using the equation:
c^2 = a^2 - b^2
where "a" is half the length of the major axis and "b" is half the length of the minor axis.
a = 474000/2 = 237000
b = 473000/2 = 236500
c^2 = 237000^2 - 236500^2
c^2 = 11225000000
c = 105889.77 miles (approximately)
So one focus of the ellipse is about 105,889.77 miles from the center of the ellipse. The distance from the earth to the center of the ellipse is equal to "a," or 237,000 miles.
Therefore, the greatest and least distances from the earth to the moon are:
- Greatest distance: 237,000 + 105,889.77 = 342,889.77 miles
- Least distance: 237,000 - 105,889.77 = 131,110.23 miles
So the moon's distance from the earth varies by about 211,779.54 miles over the course of its orbit.
1. Solve the equation 2x ^ 3 + 7x ^ 2 - 10x - 24 = 0 in the real number system
Answers
The solution to the given equation in the real number system is x = 2 or x = -4 or x = -3/2
What is a real number system?A real number system comprises rational numbers, irrational numbers, integers, and whole numbers. When solving a polynomial in a real number system, we need to first factor the polynomial by grouping;
i.e.
= 2x³ + 7x ² - 10x - 24
= 2x³ + 11x² + 12x - 4x² - 22x - 24
= x(2x² + 11x + 12) - 2(2x² + 11x + 12)
= (x - 2) (2x² + 11x + 12)
= (x - 2) (2x² + 8x + 3x + 12)
= (x - 2) (2 (x² + 4x) + 3(x + 4))
= (x - 2) (2x (x + 4) + 3(x + 4) )
= (x - 2) (x + 4) (2x + 3)
In a real number system;
x = 2 or x = -4 or x = -3/2
Learn more about the real number system here:
https://brainly.com/question/540415
#SPJ1
Help pls pls pls pls
Answers
Answer:
C
Step-by-step explanation:
\( \sin( \beta ) = \frac{opposite}{hyptenuse} \)
The opposite side of C is 4
The hypotenuse side of C is 5
Put them into this formula
Ans: sin C= 4/5
Factorise:
4x+16/2
bit confused on this one because it says 2(x+4) but where do you get the two from
Answers
To factorize
\( = \frac{4x + 16}{2} \)
Taking "4" as common from 4x+16
\( = \frac{4(x + 4)}{2} \)
Cancelling 2 with 4
\( = 2(x + 4)\)
(since 4÷2=2)
Answer:
\(2(x + 4)\)
Step-by-step explanation:
According to this fraction:
Numerator = \(4x + 16\)
Denominator = \(2\)
Step I:
Focus on the two terms in the numerator and observe that their Highest Common Factor (HCF) is 4. This can be extracted out while factorising:
\(4x + 16\) = \(4 (x + 4)\)
∴ \(\frac{4x + 16}{2}\) = \(\frac{4(x + 4)}{2}\)
Step II:
The 4 (which is outside the parenthesis because it is extracted as the HCF) can be reduced by the 2 because of the division sign:
\(\frac{4(x + 4)}{2}\) = \(\frac{4}{2}\) × \((x + 4)\)
= \(2\) × \((x + 4)\)
= \(2(x + 4)\)
Jim drank 2 4/5 cups of orange juice and Jack drank 1 1/10 cups less than Jim. How much juice did jack drink? Explain your answer.
Answers
Answer:
Step-by-step explanation:
2 4/5 - 1 1/10
2 8/10 - 1 1/10
1 7/10 is how much juice Jack drank
Answer:
1 7/10
Step-by-step explanation:
First you should change 4/5 to 8/10 to have a common denominator. Then you just subtract and to get the answer.
Express the following relationship as a rate $5.75 for 5 attempts
A.$1.15
B.$1.75
C.$1.25
D.$0.75
pls help
Answers
Answer:
C.$1.25Step-by-step explanation:
Given the price of 5 units for $5.75
The unit rate is:
$5.75 / 5 = $1.25Correct choice is C
Simplify the expression -3.3 + (-2.7). On the test, when Maureen simplified the expression she got 0.6. What mistake did Maureen likely make when she simplified the expression?
Answers
Answer:
-6
Step-by-step explanation:
She added a negative number with a positive number
Answer:
-6
Step-by-step explanation:
-3.3+(-2.7)= -3.3-2.7 = -6
Maureen probably did 3.3-2.7 instead of -3.3-2.7.
Hope this helps!!!
Simplify the expression:
89 - 9
HELP PLZ
Answers
Answer:
the answer is 80
Step-by-step explanation:
Answer:
We conclude that:
89 - 9 = 80Step-by-step explanation:
Given
As the expression is given by
89 - 9To determine
Simplify the expression
The given expression is very easy to simplify. All we need is to subtract 9 from 89 and we will get the required answer.
i.e.
89 - 9
subtract the numbers: 89 - 9 = 90
⇒ 89 - 9 = 80
Therefore, we conclude that:
89 - 9 = 80Joy drew a scale drawing of an apartment. The scale of the drawing was
4 millimeters = 5 meters. What is the drawing's scale factor?
Simplify your answer and write it as a ratio, using a colon.
Answers
The drawing's scale factor is 1 : 1250
Determining Scale factorFrom the question, we are to determine the drawing's scale factor and we are to write our answer as a ratio
From the given information,
The scale of the drawing was 4 millimeters = 5 meter
Convert 5 meters to millimeters
1 meters = 1000 millimeters
∴ 5 meters = 5000 millimeters
Thus,
The scale of the drawing was
4 millimeters = 5000 millimeters
Divide both sides by 4 millimeters
Therefore,
The scale of the drawing was
1 : 1250
Hence, the drawing's scale factor is 1 : 1250
Learn more on Scale factor here: https://brainly.com/question/14440320
#SPJ1
How do you write 7460 in standard form?
Answers
Answer:
7460
Step-by-step explanation:
To write a linear expression in standard form, rearrange the terms in alphabetical order.
7460
Answer:
a = 7.46
7.46 x 103
103 = 1,000 x 7.46 = 7,460
here your answer
hope it helps you
Can someone check my answers for my homework im not sure i did it right
Answers
Answer:
i think you did it right :)
Step-by-step explanation:
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
Don't worry about anything you got it. Great work!
Martha has two jobs. One pays $15 per hour, and she works at that job 10 hours per week. The other job pays $13 per hour, and she works at that job 30 hours per week. How much money does she make per year?
Martha’s yearly income is $
Answers
Answer:
$28,080
Step-by-step explanation:
15*10=150/wk
150*52wks=7,800
13*30=390/wk
390*52wks=20,280
20,280+7,800=28,080
What is the midpoint of the line segment with endpoints (0,-2) and (4,-4)?
Answers
Answer:
Step-by-step explanation:
(0+4)/2 = 4/2 = 2
(-2-4)/2= -6/2 = -3
(2, -3) midpoint