15,299.4 and scientific notation round to two digits after the decimal
Answers
Scientic notation
\(1.52994\text{ }\times10^4\)Rounding off;
\(1.53\text{ }\times10^4\)Here, we want to write the given number in a scientific notation after which we round to two digits after the decimal.
To write the number in scientific notation means to write in standard form which in essence means in powers of 10
To do this, we move the decimal point to the back of the first non-zero digit
The first non-zero digit here is 1. Moving the decimal, we shall do this four times
This mean that our notation will be;
\(1.52994\text{ }\times10^4\)Rounding this to two digits after the decimal, we have;
\(1.53\text{ }\times10^4\)Related Questions
8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.
Answers
Answer:
The value of y is 216
(and the value of x is 12)
Step-by-step explanation:
The general formula for a geometric sequence is,
\(a_n = a_1(r)^{n-1}\)
Where n represents the nth term, a_1 is the first term and r is the common ratio,
we see that,
r = 6,
the first term is,
a_1 = (x-6)
the 2nd term is,
a_2 = 3x,
the 3rd term is,
a_3 = y, finding y,
first we find x, using the above given formula we have,
\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)
x = 12,
Now, for y we can use the relation between a_3 and a_2,
\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)
y = 216
30
A restaurant used 231 eggs last week. Of these, 46 were brown in color. The remaining
eggs were white in color. Which equation can be used to solve for w, the number
of white eggs used last week?
A 231 +46w=0
B 46+ w = 231
C w = 231 +46
D 231 = 46w
Answers
D 231 = 46w can be used to solve for w, the number of white eggs used last week.
Determine the surface area and volume. Note: The base is a square.
Answers
Answer:
volume=60cm3, surface area=96cm2
Step-by-step explanation:
volume=1/3×(6×6)×5
=60cm3
surface area= 4(1/2×6×5)+(6×6)
=96cm2
(2x+6yx)-(12ay+-6y) pls helpp pls
Answers
The required, simplified expression is 2x - 6y(2a - x) + 6y.
To simplify the expression (2x+6yx)-(12ay+-6y), we need to distribute the negative sign to the second term.
2x - 6y(2a - x) + 6y.
Now we can combine like terms, which means adding up any terms that have the same variables raised to the same powers. In this case, we have two terms with "x" and two terms with "y". Combining them, we get:
2x+6yx-12ay+6y = 2x - 12ay + 6yx + 6y
= 2x - 6y(2a - x) + 6y
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when approximating the area below a curve, using midpoint rectangles always produces the best approximation.
Answers
The statement given is true. When approximating the area below a curve, using midpoint rectangles always produces the best approximation.
A good way to estimate areas with rectangles is to make each rectangle cross the curve at the midpoint of that rectangle's top side. Midpoints always the best approximate for the area under the curve using a finite number of rectangles.
What to use the midpoint rule?The midpoint rule, also known as the rectangle method or mid-ordinate rule, is used to estimate the area under a simple curve. There are other methods to estimate the area, such as the left rectangle or right rectangle sum, but the midpoint rule gives the better approximate compared to the two methods.
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21x² - 2x + 1/2 =0
find the following quadratic equation by factorization method
PLESE SOMEONE HELP
Answers
Step-by-step explanation:
21x²-2x +1/2 = 0
x² - 2x ×21 + 1/2× 21 = 0
m+2=7/n make n the subject
Answers
Answer:
\(n = \frac{7}{m + 2} \)
Step-by-step explanation:
\(m + 2 = \frac{7}{n} \)
To make n as the subject , we need to isolate it.
■ Lets multiply n on both the sides in order to shift n to the L.H.S.
\( = > n(m + 2) = \frac{7}{n} \times n\)
\( = > n(m + 2) = 7\)
■ Lets now divide (m + 2) on both the sides in order to isolate n in L.H.S
\( = > \frac{n(m + 2)}{( m+ 2)} = \frac{7}{(m + 2)} \)
\( = > n = \frac{7}{m + 2} \)
6. A vehicle has a mass of 1295 kg and uses petrol. Another vehicle has a mass of 1290 kg and uses diesel fuel.
1 L of petrol has a mass of 737 g.
1 L of diesel has a mass of 820 g.
How many litres of fuel will result in the two vehicles having the same mass? Round to the nearest tenth of a litre.
Answers
When about 60.2 liters of fuel are added to each car, the two vehicles will have the same mass.
How to determine the many liters of fuel will result in the two vehicles having the same massLet x be the number of liters of fuel needed for the two vehicles to have the same mass.
The first vehicle's total mass with fuel is: 1295 + 0.737x
The total weight of the second vehicle with gasoline is: 1290 + 0.820x
We want the two masses to be equal so that we may equalize the two expressions and solve for x:
295 + 0.737x = 1290 + 0.820x
0.083x = 5
x = 60.24
Therefore, the two vehicles will have the same mass when approximately 60.2 liters of fuel have been added to each vehicle.
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The figure above shows a store's supply-demand graph for coffee makers. If the store sells $600 worth of coffee makers, which of the following is a valid possible price for them?
A. $15
B. $30
C. $40
D. $55
Answers
The possible price for the items if the store sells $600 is (c) $40
How to determine the possible price for the items?From the question, we have the following parameters that can be used in our computation:
The supply-demand graph
If the store sells $600, then there is a supply worth of $600
The equation of the supply line is calculated as
y = mx + c
Where
c = y = 0
i.e. c = 100
So, we have
y = mx + 100
Using another point on the graph, we have
30m + 10 = 400
So, we have
m = 13
This means that
y = 13x + 100
For a supply of 600, we have
13x + 100 = 600
So, we have
13x = 500
Divide by 13
x = 38.4
Approximate
x = 40
Hence, the possible price for the items is (c) $40
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A circle has a diameter of 46 cm. What is its radius?
Answers
Answer:
Step-by-step explanation:
radius = diameter/2 = 46cm/2 = 23 cm
If you are converting from a large unit to a smaller unit, will you always divide?
Explain and include an example.
Answers
If you are going from a larger unit to a smaller unit, you multiply by successively. If you are going from a smaller unit to a larger unit, you divide by successively. The factor label method can also be applied to conversions within the metric system.
When you are converting from a larger unit to a smaller unit, you will always divide.
What is unit conversion?
When you are converting from a larger unit to a smaller unit, you will always divide. This is because as you move from a larger unit to a smaller unit, you are breaking the quantity down into more individual parts, hence the need for division.
For instance, to convert 5 m to centimeters;
5 meters x (100 centimeters / 1 meter) = 500 centimeters
As you can see, we divided 5 meters by 100 (the number of centimeters in one meter) to obtain the equivalent length in centimeters, which is 500 centimeters.
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Question 2: Benjamin rolls an ordinary six-sided dice and flips a coin. List all the possible outcomes.
Answers
Answer:
Step-by-step explanation:
A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.
Answers
Answer:
We calculate the squares of the two littlest sides and add them :
6
²
+
8
²
=
36
+
64
=
100
We now calculate the square of the biggest side :
10
²
=
100
They are equal, and thus, the triangle is a right triangle.
(
A
B
²
+
B
C
²
=
A
C
²
=>
A
B
C
is right in
B
)
Step-by-step explanation:
g Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x 2y 3z
Answers
Answer:
V = 4/3 units
Step-by-step explanation:
See attachment for calculation.
Then we substitute for y and z in the rewritten equation
x = 6 - 2y - 3z, where
y = 1
z = 2/3
x = 6 - 2(1) - 3(2/3)
x = 6 - 2 - 2
x = 2
Recall I stated that the volume of a rectangular box is
V = xyz, now we substitute for all the unknown variables.
V = 2 * 1 * 2/3
V = 4/3 units.
what the y-intercept for -7x+2y=10
Answers
Answer:
See below.
Step-by-step explanation:
-7x+2y=10
/2 /2 /2
-7/2x+y=5
+7/2x +7/2x
y=7/2x+5
The y-intercept is 5.
-hope it helps
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. (1 point)
Function 1
(look at the graph below)
Function 2
f(x) = −x2 + 2x − 15
Function 1 has the larger maximum at (4, 1).
Function 1 has the larger maximum at (1, 4).
Function 2 has the larger maximum at (−14, 1).
Function 2 has the larger maximum at (1, −14).
Answers
A function that has a greater maximum include the following: A. Function 1 has a larger maximum at (4, 1).
How to determine the function that has a larger maximum?In order to determine the maximum value of function 2, we would have to take the first derivative with respect to x and then, substitute this x-value into the original function while equating it to zero (0), and then evaluate as follows;
f(x) = −x² + 2x - 15
f(x) = −2x + 2
0 = −2x + 2
2x = 2
x = 2/2
x = 1
For the maximum value of function 2, we have:
f(1) = −(1)² + 2(1) - 15
f(1) = -14
For the maximum value of function 1, we can logically deduce that it is equal to 1 based on the graph in image attached above.
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PLEASE HELP!! a bag contains 10 marbles. four of them are red, three blue, two white, and one yellow. A mare ke drawn at random. What is the probability that it is blue?
Answers
Answer:
The probability that one marble drawn at random is not blue is 70%
Vedant received two quotes for new carpet for his home. The quote from Company A is $0.15 less per square foot than the quote from Company B. If Vedant plans to buy 1,200 square feet of carpet, how do his total costs from the two companies compare?
Company A is cheaper by $180.
Company B is cheaper by $180.
Company A is cheaper by $8,000.
Company B is cheaper by $8,000.
Don’t make any funny jokes about this and don’t say idk or something like that or I’ll report you.
Answers
Answer:
Company B is cheaper by $180.
Step-by-step explanation:
just do 1,200 square feet x 0.15 = 180
Answer:
b as in big cat
Step-by-step explanation:
Is the range a subset or a proper subset of the codomain?
Answers
A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.
What is a subset?A set that includes all or a portion of another set's elements is known as a subset. For instance, because every even integer is also an integer, the set of even integers is a subset of the set of integers. A subset that contains some, but not all, of the members of another set is said to be a proper subset. Because it contains some, but not all, of the positive integers, the set of positive integers less than 10 is a valid subset of the set of positive integers.
A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.
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Anybody know ??helpppp plssss
Answers
Answer:
y=4x+3
Step-by-step explanation:
First, see where the line intercepts at the y-axis and use the y-value(which is 3). Then to find the slope(m), use the slope equation y{2}-y{1}/x{2}-x{1}.
Apply this formula to the coordinates(0,3) and (1,7):
7-3/1-0This will then equal to
4/1This can be simplified to:
4Applying the y-intercept value 3 and the slope 4 to the equation:
y=4x+3A terminating decimal, suchas 0.75, has an exact numberof nonzero digits. Which of the following fractions cannot be written as a terminating decimal
Answers
The solution is, 0.75 can be written as fraction = 3/4.
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
here, we have,
A terminating decimal, such as 0.75, has an exact number of nonzero digits.
so, it can be written as fraction
0.75
=75/100
=3/4
Hence, The solution is, 0.75 can be written as fraction = 3/4.
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What would 2y + y be? Would it just be 2y or would it be 3y? Help
Answers
Answer: 2y+y would be 3y
Step-by-step explanation:hope it helps :)
Subtract: \(\frac{6}{2x^2+8x} -\frac{x}{4x^2+12-16} =\frac{6}{2x(x+4)} -\frac{x}{4(x+4)(x-1)} =\frac{6*2(x-1)}{2x(x+4)*2(x-1)} -\frac{x*x}{4(x+4)(x-1)*x}\)
A:\(\frac{-2x^2+12x-12}{2(x+4)(x-1)}\)
B:\(\frac{-x^2+6x-6}{2(x+4)(x-1)}\)
C:\(\frac{-2x^2+12x-12}{4(x+4)(x-1)}\)
D:\(\frac{-x^2+12x-12}{4x(x+4)(x-1)}\)
Answers
Step-by-step explanation:
I think D
Katerina’s phone number has ten digits in total. Now her friend Kylie wants to call her, but Kylie only remembers the first eight digits. How many times Kylie has to try at most in order to call Katerina if she does not dial repetitive phone numbers?
Answers
Answer:
she have to try two times
what you need to know
Answers
Answer: 3
Step-by-step explanation: make sense
helpppp asap pleasee
Answers
Answer:
I think 1 is the right answer
Step-by-step explanation:
Solve for x: −7 < x − 1 < 8
6 < x < 9
−6 > x > 9
6 > x > −9
−6 < x < 9
Answers
[Hello, blueface1728]
Answer:
[D] −6 < x < 9
Step-by-step explanation:
So, if a < u <b then a < u and u <b
-7 < x - 1 and x -1 < 8
Solving
-7 < x - 1 = x > -6
x - 1 < 8 = x < 9
Combine the intervals
-6 < x < 9
Now looking at the answer choice :
6 < x < 9
−6 > x > 9
6 > x > −9
−6 < x < 9
Thus, the answer is [D] −6 < x < 9
Kavinsky
What is the expanded form of 8,609?
A 8,000+600+ 90
8,000+60+9
8,000 +900+ 6
8,000+600 +9
Answers
The last one 8,000 + 600 + 9
volume of a cone
radius = 4.7
height 17.3
Answers
V≈400.19
4) Amy traveled to the recycling plan
back. It took one hour less time to get
there than it did to get back. The average
speed on the trip there was 50 km/h. The
average speed on the way back was 40
km/h. How many hours did the trip there
take?
Answers
The time taken by Amy to travel to the place was t = 4 hours.
What is average speed?A measure of average speed is the amount of distance travelled in a given amount of time. It is determined by dividing the overall mileage by the overall time required to cover that mileage.
In physics and other sciences, average speed is frequently employed to describe how objects move. For instance, it is possible to estimate how long it will take to go a certain distance or assess a car's fuel economy by looking at its average speed over a given distance. By dividing the whole distance travelled by the total time required, average speed may also be used to characterise the speed of an object that is moving at various speeds at different points along its path.
Let the time taken to get back = t + 1.
Now, it took one hour less time to get there thus time = t.
Now, average speed is given as:
average speed = total distance / total time
Substituting the values:
50 km/h = d / t
d = 50t .........(1)
40 km/h = d / (t + 1)
d = 40(t + 1)......(2)
Setting the value of d as equal we have:
50t = 40(t + 1)
50t = 40t + 40
10t = 40
t = 4
Hence, the time taken by Amy to travel to the place was t = 4 hours.
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