The product of the factors in the given expression comes to be [tex]7.35932 *10^{-3}[/tex].
The given expression is:
[tex](1.466*10^{-8} )(5.02*10^5)[/tex]
We can rewrite the given expression as
[tex](1.466*5.02)(10^{-8} *10^5)[/tex]
What is the exponent addition rule?If we have two numbers with the same base we can write the product of the numbers as a single base followed by the addition of exponents.
[tex]a^m*a^n = a^{m+n}[/tex]
[tex]1.466*5.02=7.35932[/tex]
[tex]10^{-8} *10^5 = 10^{-3}[/tex]....from exponent addition rule
So, [tex](1.466*10^{-8} )(5.02*10^5)=7.35932 *10^{-3}[/tex]
Therefore, the product of the factors in the given expression comes to be [tex]7.35932 *10^{-3}[/tex].
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Answer:
7.3593 and -3
Step-by-step explanation:
Got it right on the assignment.
Solve the equation and enter the value of x below.
6x + 7 = 43
X =
6x + 7 = 43
6x + 7 - 7 = 43 - 7
6x = 36
x = 36/6
x = 6
check
6 * 6 + 7 = 36 + 7 = 43
Answer:
x=6
Step-by-step explanation:
6x+7=43
6x=43-7
6x=36
6x/6=36/6
x=6
hope dis helps!!!!!
How many feet are in 1 yard?
how many feet are in one yard?
=3 feet
Answer:
3 Feet
Step-by-step explanation:
Which of the following quadratics will have a maximum value at x = 3?
(1) y = x² - 6x +19
(3) y=-2x² + 20x - 49
(2) y=-4x² +24x-21
(4) y = 2x² – 3x+7
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{y = x^2 - 6x + 19}\\\mathsf{y = 6^2 - 6(3) + 19}\\\mathsf{y = 36 - 18 + 19}\\\mathsf{y = 18 + 19}\\\mathsf{y = 37}[/tex]
~~~~~~~~~~~~~~~~~
[tex]\mathsf{y = -2x^2 + 20x - 49}\\\mathsf{y = -2(3)^2 + 20(3) - 49}\\\mathsf{y = -2(9) + 60 - 49}\\\mathsf{y = -18 + 60 - 49}\\\mathsf{y = 42 - 49}\\\mathsf{y = -7}[/tex]
~~~~~~~~~~~~~~~~~~~~~
[tex]\mathsf{y = -4x^2 + 24x - 21}\\\mathsf{y = -4(3)^2 + 24(3) - 21}\\\mathsf{y = -4(9) + 72 - 21}\\\mathsf{y = -36 + 72 - 21}\\\mathsf{y = 36 - 21}\\\mathsf{y = 15}[/tex]
~~~~~~~~~~~~~~~~~~~~~
[tex]\mathsf{y = 2x^2 - 3x + 7}\\\mathsf{y = 2(3)^2 - 3(3) + 7}\\\mathsf{y = 2(9) - 9 + 7}\\\mathsf{y = 18 - 9 + 7}\\\mathsf{y = 9 + 7}\\\mathsf{y = 16}[/tex]
~~~~~~~~~~~~~~~~~~~~
[tex]\large\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Given that lines b and c are parallel, select all that apply.
Which angles are congruent to 3?
4
7
2
6
Answer:
Angles 7, 2, and 6
Step-by-step explanation:
Angle 7 is congruent by corresponding angles to angle 3.
Angle 2 is congruent by vertical angles to angle 3.
Angle 6 is congruent by vertical angles to angle 7, which is congruent to angle 3, so angle 3 and angle 6 must also be congruent.
Answer:
7,2,6
Step-by-step explanation:
What value of c makes the polynomial below a perfect square?
Answer:
B
Step-by-step explanation:
x² + 9x
to complete the square
add ( half the coefficient of the x- term )² to x² + 9x
= x² + 2([tex]\frac{9}{2}[/tex] )x + ([tex]\frac{9}{2}[/tex] )²
= x² + 9x + [tex]\frac{81}{4}[/tex] ← the value of c
= (x + [tex]\frac{9}{2}[/tex] )² ← a perfect square
(2x-7)-(4x^2+6x-3)+(x^2+4)
Answer:
[tex]-3x^2-4x[/tex]
Step-by-step explanation:
Simplify:
[tex]\left(2x-7\right)-\left(4x^2+6x-3\right)+\left(x^2+4\right)[/tex]
[tex]=2x-7-\left(4x^2+6x-3\right)+x^2+4[/tex]
Group same factor:
[tex]=-\left(4x^2+6x-3\right)+x^2+2x-7+4[/tex]
Add :
[tex]=-\left(4x^2+6x-3\right)+x^2+2x-3[/tex]
Apply the distributive law: -(a+b) = -a - b
[tex]-\left(4x^2+6x-3\right)=-4x^2-6x+3[/tex]
[tex]=-4x^2-6x+3+x^2+2x-3[/tex]
Group same factor:
[tex]=-4x^2+x^2-6x+2x+3-3[/tex]
Subtract:
[tex]=-4x^2+x^2-6x+2x[/tex]
Add:
[tex]=-3x^2-6x+2x[/tex]
Group same factor:
[tex]=-3x^2-4x[/tex]
Hence answer = [tex]-3x^2-4x[/tex]
~lenvy~
HELP DUE TMRW!
The floor plan of a building has a scale of cm to 1 m. A room has an area of
40 cm2 on the floor plan. What is the actual area of the room in square metres?
Step-by-step explanation:
so, the scale is 1/4 cm to 1 m.
1 m = 100 cm.
1 m² = 100×100 = 10,000 cm²
that means the scaling factor is 0.25/100 = 1/400
(after multiplying with 4/4).
so, every length in reality has to be multiplied by 1/400 to get the length on the plan.
the area of a rectangle is
length × width.
now, applying the scaling factor means that
length×1/400 × width×1/400 = 40
length × width × 1/400×1/400 = actual area × 1/400² = 40
actual area = 40×400² = 6,400,000 cm²
= 6,400,000 / 10,000 = 640 m²
Find the solution of the system of equations.
8x – 2y = -30
–9x + 4y = 18
Step-by-step explanation:
8x – 2y = -30 } ×2
16x - 4y = -60
–9x + 4y = 18
___________
7x=-42
x=-6
8(-6)-2y=-30
-2y=-18
y=9
Answer:
(-6,-9)
Step-by-step explanation:
The quickest way is to solve with elimination. Multiply the top equation by 2.
2(8x – 2y = -30)
16x-4y=-60
16x-4y=-60
–9x + 4y = 18
7x=-42
x=-6
8x – 2y = -30
8(-6) – 2y = -30
-48-2y=-30
-2y=18
y=-9
A triangle has side lengths of (5h – 4k) centimeters, (10h + 7m) centimeters, and
(5m – 2k) centimeters. which expression represents the perimeter, in centimeters,
of the triangle?
A mathematical expression which best represents the perimeter of this triangle is (15h - 6k + 12m) centimeters.
Given the following data:
Length A = (5h – 4k) centimeters
Length B = (10h + 7m) centimeters
Length C = (5m – 2k) centimeters.
What is a triangle?A triangle can be defined as a two-dimensional shape that comprises three (3) sides, three (3) vertices and three (3) angles.
How to calculate the perimeter of a triangle.Mathematically, the perimeter of a triangle is given by this formula:
[tex]P=A+B+C[/tex]
Where:
A, B, and C are length of sides.Substituting the given parameters into the formula, we have;
[tex]P=(5h - 4k) +(10h + 7m) +(5m - 2k)\\\\P=5h+10h-4k-2k+7m+5m\\\\P=(15h-6k+12m)\;centimeters[/tex]
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Jordan writes 3(4x – 8) = 12x – 8
Explain why his expansion is not correct
Complete the following table and write down each of the expansions
x x -2
x
X (X – 2)
The top-grossing movies last year were Movie A with $700 million, Movie B with $680 million, Movie C with $610
million, and Movie D with $420 million. Suppose we randomly selected 2 of the movies. Fill in all of the means that
are not already provided in the table?
The maximum and the least grossing movies are the combinations of movies A & B and movies C & D, respectively
How to determine the maximum and the least amounts?The grossing amounts are given as:
Movie A = $700 millionMovie B = $680 millionMovie C = $610 millionMovie D = $420 millionThe selection of two movies could be any of the following selections
Selection = AB, AC, AD, BC, BD, and CD
The gross of each selection is:
AB = $700 million + $680 million = $1.38 billion
AC = $700 million + $610 million = $1.31 billion
AB = $700 million + $420 million = $1.12 billion
BC = $680 million + $610 million = $1.29 billion
BD = $680 million + $420 million = $1.10 billion
CD = $610 million + $420 million = $1.03 billion
In the above computation, the maximum and the least gross amounts are:
AB = $1.38 billion
CD = $1.03 billion
Hence, the maximum and the least grossing movies are the combinations of movies A & B and movies C & D, respectively
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Answer:
mean of A, C = 655
mean of B, C = 645
mean of C, D = 515
Step-by-step explanation:
you just take whatever the 2 numbers are (for A, B, C, D) and find the mean between them both,, also correct on edge
is this correct if not whats the answer
Answer:
That answer is correct, when you do a survey, you pick people at random! So your answer is correct. :) If you have any more questions feel free to ask me. ^-^
someone help please
Steps to finding the line in the diagram with the format 'ax + by = c
1. Find the slope
To find the slope, we need any two points on the line --> (0,4) and (3,0)[tex]Slope = \frac{y2-y1}{x2-x1} =\frac{4-0}{0-3} =-\frac{4}{3}[/tex]
2. Set up, with any one point on the line and the slope, in point-slope form
[tex](y-y0)=m(x-x0)\\(y-4)=-\frac{4}{3} (x-0)\\y-4 = -\frac{4}{3} x\\\frac{4}{3}x+y = 4[/tex]
Answer: [tex]\frac{4}{3}x+y = 4[/tex]
Hope that helps!
Answer:
[tex]\sf 4x+3y=12[/tex]
Step-by-step explanation:
Choose two points on the line:
Let [tex]\sf (x_1,y_1)=(0,4)[/tex]
Let [tex]\sf (x_2,y_2)=(3,0)[/tex]
Use the slope formula to find the slope of the line:
[tex]\sf slope(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-4}{3-0}=-\dfrac43[/tex]
Use the point-slope formula to find the equation of the line:
[tex]\sf y-y_1=m(x-x_1)[/tex]
Substitute values into the formula:
[tex]\sf y-4=-\dfrac43(x-0)[/tex]
Expand the brackets:
[tex]\sf y-4=-\dfrac43x[/tex]
Add 4 to both sides:
[tex]\sf y=-\dfrac43x+4[/tex]
Rearrange into the form [tex]ax+by=c[/tex]
Multiply both sides by 3
[tex]\sf 3y=-4x+12[/tex]
Add 4x to both sides:
[tex]\sf 4x+3y=12[/tex]
y- 1) The value, y, of a car x years after it is purchased is modeled by the function exponential function y = f(x), whose graph is shown above Which statement about the car's value is true? A) Its initial value is B + A, and it will fall to a value of B B) its initial value is A, and it will fall to a value of B C) Its initial value is A and it will fall to a value of A-B
Given the exponential function y = f(x), a is the initial value and it will fall to a value of B
What is an exponential function?
An exponential function is given by:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
The value, y, of a car x years after it is purchased is modeled by the exponential function y = f(x), a is the initial value and it will fall to a value of B
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Dillon buys a hand bag priced at $33. Shipping and handling are an additional 30% of the price. How much shipping and handling will Dillon pay?
Answer:
$10.89 should be your answer
According to einstein, nothing in the universe can move faster than which approximate speed? 1.0 × 107 m/s 1.0 × 108 m/s 3.0 × 108 m/s 3.0 × 109 m/s
The speed of light is 3.0 ×108m/s.
We have ask about the theory of Albert Einstein,
According to einstein, nothing in the universe can move faster than light
What is the speed of the light?
Albert Einstein said that nothing travels faster than the speed of light, and the speed of light is
[tex]3.0\times108 m/s[/tex]
So that the nothing can travels faster than the speed of light.
light travels with very high speed.
Therefore we get the correct option is 3.
That is the speed of light is 3.0 ×108m/s.
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What is the volume of this figure? Enter your answer in the box. ft³
Answer:
75 ft³ for K12
Suppose the demand d, in units sold, for a company's jeans at price x, in dollars, is d(x)=800−4x.
A. If revenue=price×demand, write the rule for the function r(x), which represents the company's expected revenue in jean sales. Then state the domain of this function.
B. If the price is $30, how much revenue will the company earn?
A. The rule for the function r(x) is r(x)=
Answer:
Sorry let me try to understand the question
Step-by-step explanation:
The domain of the function r(x) is (0, 200).
The revenue earned when the price is $30 is $20400.
The rule for the function r(x) is x(800 - 4x).
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Demand:
d(x) = 800 - 4x
Price = x
Revenue = Price x demand
Revenue = r(x)
A)
The rule for r(x).
r(x) = x d(x) = x(800 - 4x)
The domain of r(x) is 0 < x < 200 i.e (0, 200).
B)
x = 30
r(x) = 30(800 - 4 x 30)
r(x) = 30(800 - 120) = 30 x 680 = 20400
C)
r(x) = x(800 - 4x)
Thus,
The answers are given above.
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Ben began peeling a pile of 64 potatoes
at the rate of 2 potatoes per minute. Five
minutes later Tom joined him and
peeled at the rate of 4 potatoes per
minute. When they finished, how many
potatoes had Tom peeled?
The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let t represent the time after Tom joined.
number of potatoes peeled by Ben = 2(5 minutes) + 2t = 2t + 10
number of potatoes peeled by Tom = 4t
Since they are 64 potatoes, hence:
2t + 10 + 4t = 64
t = 9 minutes
number of potatoes peeled by Tom = 4(9) = 36 potatoes
The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes
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Reflect the shape A in the line y=-1
What are the coordinates of the vertices of the image?
random please answer
i am time limited
whoever answers correctly will be awarded brainliest
Answer:
(3,-3) (5,-3) (3,-6)
Step-by-step explanation:
y=-1 is now a horizontal line passing through the point (0,-1)
I hope this helps!!
A cyclist bikes a certain distance in 25 minutes. how long would it take a pedestrian to travel the same distance if he travels 2 2/5 times slower than the cyclist?answer = ___________ minutes and ___________ hours.
Using proportions, it is found that it would take 1 hour for the pedestrian to travel the same distance.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the cyclist takes 25 minutes, while the pedestrian's time is [tex]2\frac{2}{5} = \frac{12}{5}[/tex] slower(greater), hence his time is given by:
[tex]t = \frac{12}{5} \times 25 = 12 \times 5 = 60[/tex]
It would take 1 hour for the pedestrian to travel the same distance.
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What is another way to write 3x+9y=-8 to get exactly one solution
Answer:
Step-by-step explanation:
Slope = -0.667/2.000 = -0.333
x-intercept = 8/3 = 2.66667
y-intercept = 8/9 = 0.88889
Answer:
Step-by-step explanation:
A triangle has sides that measure 2 units, 5 units, and 5. 39 units. What is the area of a circle with a circumference that equals the perimeter of the triangle? Use 3. 14 for π, and round your answer to the nearest whole number. 39 units2 25 units2 49 units2 12 units2.
The circumference of the circle is equal to the perimeter of the triangle, then the area of the circle is 12 square units. Option D is correct.
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
A triangle has sides that measure 2 units, 5 units, and 5.39 units.
The circumference of the circle is equal to the perimeter of the triangle. Then the radius of the circle will be
[tex]2 \pi r = 5 + 2 +5.39\\\\r = 1.97[/tex]
Then the area of the circle will be
[tex]\rm Area \ of \ circle = \pi r^2\\\\Area \ of \ circle = \pi 1.97^2\\\\Area \ of \ circle = 12.21 \approx 12[/tex]
The area of the circle is 12 square units.
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The blue dot is at what value on the number line?
Answer:
17
Step-by-step explanation:
✌
If we want to know if diagonals or sides are congruent we would use the
formula.
distance
midpoint
slope
When we want to know if the diagonals or sides are congruent we would use the D. Slope.
What is congruent?It should be noted that congruent in geometry simply means when two objects have same shapes and size.
In this case, when we want to know if the diagonals or sides are congruent we would use the slope. This can show the equality in the shape.
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hello please help me with this
Answer:
physical contact needed
Step-by-step explanation:
need to see you
3 1/2 x 2 1/2 pls help ASAP!!!!
Answer:
Your answer is 8.75 or 8 ¾
Step-by-step explanation:
3 ½ × 2 ½ = 8 ¾
Have a nice day! :)
Examine this right triangle. A right triangle has a side length of 16 meters and hypotenuse of 20 meters. Which equation can be used to find the missing leg in the triangle? a2 202 = 162 202 162 = a2 a2 162 =202 16 a2 = 20.
The equation can be used to find the missing leg in the triangle [tex]20^{2} = 16^{2} +a^{2}[/tex].
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse.
It is given that a right triangle has a side length of 16 meters and a hypotenuse of 20 meters.
From a Pythagoras theorem
[tex]b^{2} = c^{2} +a^{2} \\20^{2} = 16^{2} +a^{2}\\20^{2}-16^{2} =a^{2}\\a^{2} = 20^{2}-16^{2} \\[/tex]
Thus, the equation can be used to find the missing leg in the triangle [tex]20^{2}-16^{2} =a^{2}[/tex].
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Answer:
Its C
a2 + 162 =202
Step-by-step explanation:
Find the domain over which the function y = x^2 +6x is mono tonic increasing. Please help
Answer:
x > -3
Step-by-step explanation:
The function will be increasing where its derivative is positive.
__
y = x^2 +6x . . . . . given function
y' = 2x +6 . . . . . . . derivative
The derivative is positive for ...
2x +6 > 0
2x > -6
x > -3 . . . . . domain where the function is increasing
In the circle below, F is the center and lies on line segment AD and BC.
Answer:
I guess option (C)
Step-by-step explanation:
Hope it helps!!!!