The speed of light is about nine hundred eighty million feet per second. What is that speed in scientific notation?
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I hope you are satisfied with my answer.
Answer:
The answer is 9.8*10^8
i think
Step-by-step explanation:
Related Questions
For the polynomial 8x3y2 – x?y2 + 3xy2 – 4y3 to be fully simplified and written in standard form, the missing exponent on the
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Therefore, the exponent of the x-term must be 2 for the polynomial to be fully simplified and written in standard form.
Answer: 2
Step-by-step explanation: this answer is 100% correct for edge.nuity
WILL GIVE A BRAINLIEST IF UR CORRECT PLEASE HELP!!
Find three solutions of the equation.
y = –3x
a.
(3, –9), (0, 0), (–1, 4)
c.
(–2, 6), (3, –9), (2, –7)
b.
(0, 0), (–3, 7), (–2, 6)
d.
(–2, 6), (3, –9), (–4, 12)
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What about the pair (-1, 4)? If you replace x with -1, you get y = -3(-1) = 3, not 4. So (-1, 4) is NOT a solution.
For each answer choice, you have to check all three of the given pairs.
(0, 0) is a solution because if x = 0, then y = -3(0) = 0.
(3, -9) is a solution because if x = 3, then y = 3(-3) = -9.
Can you finish it?
juanita and lauren are painting a circular mural on one wall of the community center. the area of the mural is 66 square meters. what is the radius
Answers
Final answer:
The radius of Juanita and Lauren's circular mural with an area of 66 square meters is approximately 4.58 meters.
Explanation:
Juanita and Lauren's mural has an area of 66 square meters, and we need to find the radius of the circular mural. To find the radius, we can use the formula for the area of a circle, which is A = πr², where A is the area and r is the radius. Since the area of the mural is 66 square meters, we have:
66 = πr²
To solve for the radius (r), we divide both sides of the equation by π:
r² = 66 / π
Then, take the square root of both sides to get:
r = √(66 / π)
Using a calculator to compute this, we find:
r ≈ 4.58 meters (rounded to two decimal places)
Therefore, the radius of the circular mural is approximately 4.58 meters.
(30 Points) Paysly is studying a mosquito with a mass of 2.5×10^-6 kilograms and a housefly with a mass of 2×10^-5 kilograms. Which statement is true?
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B.The housefly is 8 times the mass of the mosquito.
The distance between points (3, 7) and (x1, y1) is the square root of (x1 - 3)2 + (y1 - 7)2. A. True B. False
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d = √[(x2-x1)^2+(y2-y1)^2]
This can be applied by first applying which is point 1 or point 2. Technically, it does not matter which is which, as long as you are consistent in pairing of the x,y coordinates. In this case, point 1 is (3,7) and point 2 is (x1,y1). Therefore, when you substitute the values, the distance would be
d = √[(x1-3)^2+(y1-7)^2]
The statement is TRUE.
Answer:
true
Step-by-step explanation:
took the test hope this helps
What is the answer and steps if x=6
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[tex]Then....[/tex]
[tex]Because, \\ \sqrt{6-5=y}^2 \\ y^2 - 1 = 0 \\ \sqrt{6 - 5} = 1 \\ 1 \neq -1 \\ Answer(maybe) : y = 1 [/tex]
Triangle XYZ is a right triangle. Angle Z is a right angle and m∠X = 68°. What is m∠Y?
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< X + < Y + < Z = 180
68 + Y + 90 = 180
158 + Y = 180
Y = 180 - 158
Y = 22 <==
m∠Y is 22°
What is right triangle?Right triangle is defined as a triangle which one angle is a right angle or two sides are perpendicular.
Given,
ΔXYZ is a right triangle
m ∠Z = 90°
m∠X = 68°
Let m∠Y = x,
∵ Addition of interior angles of a triangle is 180°
So, m∠X + m∠Y +m ∠Z = 180°
Subsitute the values,
68° + x + 90° = 180°
x = 180 - 158
x = 22
Hence, m∠Y = 22°
Learn more about right triangle here
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Please help with this question
Answers
What is the image of point (0,3) for mapping (x,y) (x-2,y-3)
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A dresser contains six pairs of shorts one each in the colors, red, black, blue, green, khaki, and gray. The dresser also contains four shirts one each in the colors black, navy, red, gray. Melanie has to get dressed in the dark, so she grabs A pair of shorts and a T-shirt at random. What is the probability that she selects a green pair shorts and a gray T-shirt?
(First of all, Melanie, you should really get a lamp. And second why is it you own more shorts than shirts?)
Answers
---------------------------------------------------------------------
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Work Shown:
A = selects green pair of shorts
B = selects gray t-shirt
P(A) = probability of selecting green shorts
P(A) = (number of green shorts)/(number of shorts total)
P(A) = 1/6
P(B) = probability of selecting gray t-shirt
P(B) = (number of gray t-shirts)/(number of t-shirts total)
P(B) = 1/4
P(A and B) = probability of selecting green shorts AND gray t-shirt
P(A and B) = P(A)*P(B) ... since A and B are independent events
P(A and B) = (1/6)*(1/4)
P(A and B) = (1*1)/(6*4)
P(A and B) = 1/24
Note: The fraction 1/24 is approximately equal to 0.041667
When a line has an undefined slope what will any two points on the line have in common
Answers
Good luck and have a nice day.
You invest an initial $2,000 in an account that has an annual interest rate of 6%, compounded daily. How much money will you have in the account after 15 years? Round your answer to the nearest whole number.
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A=p (1+r/k)^kt
A future value?
P present value 2000
R interest rate 0.06
K compounded daily 365
T time 15 years
A=2,000×(1+0.06÷365)^(365×15)
A=4,918.84
Evaluate. 5.4 - 1.3
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Given the function f(x) = log3(x + 4), find the value of f−1(3
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y = log(3x + 12)
e^y = 3x + 12
3x = e^y - 12
x = 1/3 (e^y - 12)
Now, swap x and y:
f ⁻¹ (x) = y = 1/3 (e^x - 12)
Secondly and finally, substitute 3 into this eq'n:
f ⁻¹ (3) = 1/3 (e³ -12) = 2.695.....
so 2.695 (to 4 sig.figs/ 3 d.ps)
or if asked for an exact answer then it is just: 1/3 (e³ -12), which can be simplfied to 1/3e³ - 4.
Answer:
23
Step-by-step explanation:
Given : [tex]f(x) = log_3(x + 4)[/tex]
To Find: [tex]f^{-1}(3)[/tex]
Solution:
[tex]y = log_3(x + 4)[/tex]
Replace y with x and x with y
[tex]x = log_3(y + 4)[/tex]
[tex]3^x = y + 4[/tex]
[tex]3^x-4 = y [/tex]
So, [tex]f^{-1}(x)=3^x-4[/tex]
Now substitute x= 3
[tex]f^{-1}(3)=3^(3)-4 [/tex]
[tex]f^{-1}(3)=27-4 [/tex]
[tex]f^{-1}(3)=23[/tex]
Hence the value of [tex]f^{-1}(3)[/tex] is 23
What are the zeros of the polynomial function f(x) = x3 − x2 − 12x?
a. 0, −4, −3
b. 0, −4, 3
c. 0, 4, −3
d. 0, 4, 3
Legit answer plz
this is important
Answers
x(x^2-x-12)=0 factor parenthetical expression
x(x^2-4x+3x-12)=0
x(x(x-4)+3(x-4))=0
x(x+3)(x-4)=0
So x=-3, 0, 4
So c) 0, 4, -3
Answer:
The correct option is c.
Step-by-step explanation:
The given function is
[tex]f(x)=x^3-x^2-12x[/tex]
Taking out the common factors.
[tex]f(x)=x(x^2-x-12)[/tex]
Now, factorize the parenthesis.
[tex]f(x)=x(x^2-4x+3x-12)[/tex]
[tex]f(x)=x(x(x-4)+3(x-4))[/tex]
[tex]f(x)=x(x-4)(x+3)[/tex]
Equate the function equal to 0, to find the zeros of the polynomial function f(x).
[tex]f(x)=0[/tex]
[tex]x(x-4)(x+3)=0[/tex]
Using zero product property, we get
[tex]x=0[/tex]
[tex]x-4=0\Rightarrow x=4[/tex]
[tex]x+3=0\Rightarrow x=-3[/tex]
The zeros of the polynomial function f(x) are 0,4,-3. Therefore the correct option is c.
The coordinates of a point are (4, –1). which matrix expression represents translating the point 3 units to the left and 7 units up?
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| 4 |
| |
|-1 |
Please, understand that the three vertical | represent a continuous line, which is the matrix representation.
The traslataion of 3 units to the left and 7 units up means that you have to add the matrix:
|- 3|
| |
|7 |
So the representation is:
|4 | |-3 | |1 |
| | + | | = | |
|-1 | |7 | |6 |
The rectangle below has an area of x^2-15x+56 x 2 −15x+56 x, start superscript, 2, end superscript, minus, 15, x, plus, 56 square meters and a length of x-7x−7x, minus, 7 meters. what expression represents the width of the rectangle
Answers
The expression that represents the width of the rectangle is x - 8
Area of a rectangle:area = lwl = length
w = width
area = x² + 15x + 56
length = x - 7
Therefore,
x² - 15x + 56 = (x - 7) w
divide both sides by x - 7
w = x² - 15x + 56 / x - 7
w = (x - 7)(x - 8) / x - 7
w = x - 8
learn more on rectangle here: https://brainly.com/question/4529723
What is the approximate area of a circle whose radius is 7? steps?
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So plug in your numbers to get
3.14 * 7^2 = 153.94^2
For large parties, a restaurant adds a 15% service charge to the bill. how much would be added to a bill of $638.40?
Answers
The service charge accounts for a fixed percentage of your total expenses. If your total expenses amount to $638.40, then the service charge would be equal to 638.4(0.15) = $95.7. Therefore, $95.7 will be added to your original bill.
Answer:
Service charge added to a bill of $638.40 is $95.76 .
Step-by-step explanation:
As given
For large parties, a restaurant adds a 15% service charge to the bill.
Bill of the parties is $638.40 .
15% is written in the decimal form
[tex]= \frac{15}{100}[/tex]
= 0.15
Thus
Service charge = 0.15 × Bill of the parties .
= 0.15 × $638.40
= $ 95.76
Therefore service charge added to a bill of $638.40 is $95.76 .
The masses, in kg, of some bags on an airplane are shown below: 7, 6.2, 6.1, 6.8, 6.1, 6.2, 6.8, 5.8, 6.2, 6.3 Jack made the following box plot to represent the masses: box plot shows minimum at 5.8, first quartile at 6.1, median at 6.3, third quartile at 6.8 and maximum at 7 Which of the following did Jack show incorrectly on his box plot?
Answers
Answer:
The value that Jack show incorrectly on his box plot is:
Median ( As he showed median is 6.3 but median is 6.2)
Step-by-step explanation:
We are given the mass of the bags as:
7, 6.2, 6.1, 6.8, 6.1, 6.2, 6.8, 5.8, 6.2, 6.3
On arranging the data in the increasing order we have:
5.8 6.1 6.1 6.2 6.2 6.2 6.3 6.8 6.8 7
There are a total of 10 data points.
Also, the minimum value is: 5.8
Maximum value is: 7
The median is the central tendency of the data and lie in the middle of the data.
Hence, Median lie between 6.2 and 6.2
Hence, Median=6.2
Also, the lower set of data is: 5.8 6.1 6.1 6.2
The lower quartile or first quartile is the median of lower set of data is: 6.1
Also, the upper set of data is: 6.3 6.8 6.8 7
The upper quartile or Third quartile is the median of lower set of data is: 6.8
Hence, he showed median incorrectly in the box plot.
:)
triangle abc is a right triangle. If AC = 4 and BC = 10, find AB. Leave your answer in simplest radical form.
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Start with a square piece of cardboard to produce a box that is 8 cm deep and whose capacity is exactly 1 liter. how large must the original square be
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The formula for the volume of a square prism or box is calculated using the formula:
V = s^2 * h
where,
s is the measure of the sides of a square
h is the height of the prism or box = 8 cm
We are given that the volume capacity of the box must be 1 Liter. We know that 1 Liter is equivalent to 1000 cm^3. Therefore calculating for s:
1000 cm^3 = s^2 * (8 cm)
s^2 = 125 cm^2
s = 11.18 cm
Therefore the measure of the sides of the square must be about 11.18 cm. If the problem ask for the area of the square, A = s^2 = 125 cm^2.
The sum of 2 numbers is 7. if one number is subtracted from the other, the result is -1. find the numbers
Answers
Given,
x + y = 7
x = 7 - y
Also given,
x - y = -1
7 - y - y = -1
-2y = -8
y = 4
x = 7 - y = 7 - 3 = 4
Hence, the numbers are 3 and 4.
A student performed the following steps to find the solution to the equation x^2-2x-8=0. Where did the student go wrong?
Step 1. Factor the polynomial into (x-4) and (x-2)
Step 2. x-4=0 and x-2=0
Step 3. x=4 and x=3
A. The student did not make any mistakes, the solution is correct
B. in step 1
C. in step 2
D. in step 3
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(Then in step 3 the x=3 is also very wrong, but that looks more like a typo).
(Also, it should be x-4=0 OR x+2=0, there is no x for which both factors are 0 at the same time!)
Please help with this question! thanks :)
Answers
the tallest line in the graph is 3
so 3 would be the answer
Is the sqr root of 1.21 rational or irrational?
Answers
answer
rational
Use Gauss-Jordan elimination to solve the following linear system: 5x – 2y = –2 –x + 4y = 4 A. (–6,–5) B. (2,0) C. (0,1) D. (–1,0)
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The answer is C.(0,1)
5x - 2y = -2 -x + 4y = 4
5(0) - 2(1) = -2 -(0) + 4(1) = 4
Identify the cross section shown.
circle
trapezoid
rectangle
pentagon
Answers
The cross section shown in the picture below include the following: B. rectangle.
In Mathematics and Euclidean Geometry, a rectangle refers to a type of quadrilateral or polygon in which its opposite sides are equal and all the angles that are formed are right angles.
Generally speaking, a circle has no edge or sides. A trapezoid is a type of quadrilateral that has one pair of parallel sides and one pair of non-parallel sides. Additionally, a pentagon is a regular polygon that comprises 5 sides.
By critically observing the cross section shown in the picture below, we can logically deduce that it represents a rectangle because its opposite sides are equal.
Solve cos x +sqrt2 = -cos x for x over the interval (0,2pi) .
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Final answer:
The equation cos x + sqrt(2) = -cos x is solved by combining like terms and isolating cos x, resulting in the solutions x = 3π/4 and 5π/4 over the interval (0,2π).
Explanation:
To solve the equation cos x + sqrt(2) = -cos x for x over the interval (0,2π), first combine like terms by adding cos x to both sides of the equation, resulting in:
2 cos x + sqrt(2) = 0
Isolate cos x by subtracting sqrt(2) from both sides:
2 cos x = -sqrt(2)
Divide both sides by 2 to solve for cos x:
cos x = -sqrt(2)/2
The value of cos x = -sqrt(2)/2 corresponds to angles in the second and third quadrants. So, the solutions for x in the interval (0,2π) are:
x = 3π/4, 5π/4
The line y = x − 6 y=x−6 has exactly one point in common with the circle x 2 + y 2 = r 2 x2+y2=r2. what is the value of r 2 r2?
Answers
y = x - 6 (1)
for the line
x² + y² = r² (2)
for the circle
When the line intercepts the circle, the x and y values will be equal.
Equate the values of y by substituting (1) into (2).
x² + (x - 6)² = r²
x² + x² - 12x + 36 = r²
2x² - 12x + 36 = r²
Answer: r² = 2x² - 12x + 36