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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Olivia has a beaded necklace business. She can make 12 necklaces in 2 hours. How long will it take her to make 9 necklaces?
Answer:
1.5hours
Step-by-step explanation:
Find the value of x
(14x - 13)
(4x + 13)°
(6x + 2)
Answer:
Step-by-step explanation:
as i think it is triangle which means the sum of interior angle 180
14x+13+4x+13+6x+2=180
24x+28=180
24x=152
x=6.2
1. Which best describes your ability to solve quadratic equations?
Answer:
you just have to do it yourself
If the coefficient of determination is 0. 12 and ssy = 225, then what is the sum of squares regression for an analysis of regression?
The coefficient of determination is the ratio of the sum of squares regression and the ssy
The sum of squares regression is 27
How to determine the sum of squares?The given parameters are:
Coefficient of determination, R^2 = 0.12
SSy = 225
The coefficient of determination is calculated as:
R^2 = SSR/SSY
So, we have:
0.12 = SSR/225
Make SSR the subject
SSR = 0.12 * 225
Evaluate the product
SSR = 27
Hece, the sum of squares regression is 27
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The sum of squares regression is 27
What is the coefficient of determination?The coefficient of determination or R squared method is the proportion of the variance in the dependent variable that is predicted from the independent variable.
The coefficient of determination is calculated by using the following formula;
[tex]\rm R^2 = \dfrac{SSR}{SSY}\\\\ 0.12= \dfrac{SSR}{225}\\\\ SSR = 225 \times 0.12 \\\\ SSR = 27[/tex]
Hence, the sum of squares regression is 27.
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What time will it take to obtain double of the interest on Rs. 2000 for 3 years at the rate of 15% per annum?
Answer:
6 years
Step-by-step explanation:
Given values :
Principal amount = Rs. 2000Time period = 3 yearsRate = 15% per annumTo Find :
Time taken to obtain twice the interestSolving :
First, find the interest.I = PrtI = 2000 x 0.15 x 3I = 6000 x 0.15I = Rs. 900 So twice the interest = Rs. 1800Now using the [I = Prt] formula,t = I/Prt = 1800/(2000 x 0.15)t = 1800 / 300t = 6 yearsWhich of these would be a helpful first step in solving the equation? Check all
that apply.
8x-6 = 2x+ 24
A. subtract 6
U
B. subtract 2x
C. divide by 8
I D. add 6
E. subtract 30
Answer:
B. Subtract 2x
D. Add 6
Step-by-step explanation:
To solve this problem, isolate it by the term of x from one side of the equation.
8x-6=2x+24First, add by 6 from both sides.
[tex]\sf{8x-6+6=2x+24+6}[/tex]
Solve.
Add.
24+6=30
Rewrite the problem down.
[tex]\sf{8x=2x+30}[/tex]
You have to subtract by 2x from both sides.
[tex]\sf{8x-2x=2x+30-2x}[/tex]
Solve.
8x-2x=6x
Rewrite the problem down.
6x=30
Then, you divide by 6 from both sides.
6x/6=30/6
Solve.
Divide the numbers goes from left to right.
30/6=5
x=5
Therefore, the solution is x=5, which is our answer.
In the correct answer is B and D.
I hope this helps you! Let me know if my answer is wrong or not.
If you had a coupon for $0.50 off the price for one of your items, would this change your answer for which is a better buy? Give an example
Answer: yes it would change my answer for what is a better buy
Step-by-step explanation: if you buy a $1.98 large soda for 50¢ off you’ll have a $1.48 soda that is only 30¢ more but the size is significantly larger
Is (-6, -7) a solution to this system of equations?
y = 4x + 9
y = 2x + 5
Yes or no
Answer:
The answer is no
*View the attached graph to check your answer graphically.*
Step-by-step explanation:
y = 4x + 9
y = 2x + 5
For this problem, I will be using substitution, since the both equations are already in the slope-intercept form, and it's a little easier than the elimination method.
First, I will substitute the first equation, for y, into the second equation:
y = 4x + 9
y = 2x + 5
4x + 9 = 2x + 5
Next, subtract 2x from both sides to isolate x:
4x + 9 = 2x + 5
-2x -2x
2x + 9 = 5
Then, subtract 9 from both sides:
2x + 9 = 5
- 9 - 9
2x = -4
Now, divide both sides by 2:
2x = -4
/2 /2
x = -2
Now, we find the value of y, by substituting -2 for x:
y = 2x + 5
y = 2(-2) + 5
y = -4 + 5
y = 1
(x, y) ==> (-2, 1)
Check your answer using (-2, 1):
y = 2x + 5
1 = 2(-2) + 5
1 = -4 + 5
1 = 1
This statment is correct
y = 4x + 9
1 = 4(-2) + 9
1 = -8 + 9
1 = 1
This statment is also correct
Check your answer using (-6, -7):
y = 2x + 5
-7 = 2(-6) + 5
-7 = -12 + 5
-7 = -7
This statment is correct
y = 4x + 9
-7 = 4(-6) + 9
-7 = -24 + 9
-7 = -15
This statment is NOT correct
Therefore, no (-6,-7) is NOT a solution to this system of equations.
*View the attached graph to check your answer graphically.*
Hope this helps!
Answer:
no
Step-by-step explanation:
which expression is equavilent to the epression -3(4x - 2) - 2x?
A. -8x
B. -16
C. -14 - 2
D. -14 + 6
Answer:
D
Step-by-step explanation:
-3(4x - 2) - 2x
-12x + 6 -2x
-14x + 6
4 1/5 tons = how many ponds
Answer:
Step-by-step explanation:
21/5*2000= 21*400= 8,400 pounds
Answer:
[tex]\displaystyle 8400\:lbs.[/tex]
Explanation:
On United States Imperial [Customary] System, there is one ton in two thousand pounds. So, because we are going from a bigger unit of measurement to a smaller unit of measurement, we multiply the quantity of tons by two thousand:
[tex]\displaystyle \boxed{8400} = 2000[4\frac{1}{5}][/tex]
I am joyous to assist you at any time.
From her window 5 m above the ground, Sherri spots a turtle on the ground at a 34° angle of depression.
To the nearest tenth of a meter, how far is the turtle from the base of the Sherri’s building?
7.4 m
4.8 m
4.1 m
3.4 m
Answer:
7.4 m it's because toes are yummy
ABC is a straight line. BD=BC Angle ADB=80° Angle BDC=20° Work out the size of the angle marked x. Give reason for your answer.
Answer:
hai
Step-by-step explanation:
Pak Awi mau beli jam tangan Rolex hulk submarine dengan harga 300jt. Dia mau beli 2 tahun lagi
dengan asumsi harga jam naik 2% / tahun. Future Value
Uang pak awi sekarang hanya 100jt, berapa yang harus pak awi tabung tiap bulan nya agar 2 tahun lagi
dia bisa beli jam tangan tersebut, jika bunga tahunan adalah 15% / tahun (pajak = 10%) ??? Present
value. Future value. Present value annuity.
Bunga di terima per bulan, dan tetap di gulung.
Ya Berapa yang dia tabung tiap bulan
-pakai tabel
When plotting an ordered pair, X comes before Y
Answer:
True
Step-by-step explanation:
I always remember it, over then up
A scientist notes the bacteria count in a petrie dish is 40. Three hours later, she notes the count has increased to 75. Using an exponential model, how many hours will it take for the bacteria count to grow from 75 to 120? Express the answer to the nearest tenth of an hour. Hint: You are NOT looking for the total time to reach 120. You are looking for the elapsed time from 75 to 120.
The number of hours it would take for the bacteria count to grow from 75 to 120 is 2 hours.
How many hours would it for the bacteria count to grow from 75 to 120?The first step is to determine the rate of increase of the bacteria. The formula that can be used is:
g = (FV / PV)^(1/n) - 1
Where:
FV = 75PV = 40 n = 3 hours(75/40)^(1/3) - 1 = 23.3%
The formula that can be used to determine the number of hours it would take for the population to grow from 75 to 120 is:
Number of hours = (IN FV / PV) / r
(IN 120/75) / 0.233 = 2 hours
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Which expression has a value of 13? (2 points)
a
(20 ÷ 4) − 4 + 3 x 2
b
(18 ÷ 2) + 6 ÷ 6 + 3
c
(16 ÷ 4) + 3 x 4 − 1
d
(10 ÷ 2) − 3 + 4 x 2
Answer:
it is option B that is correct
Step-by-step explanation:
use BODMAS
B- Brackets
O-order
D-division
M-multiplication
Addition
Subtraction
is 17/8 and 1/2 a proportional
Answer:
No
Step-by-step explanation:
If you simplify 17/8;
You'd get 2 1/8, and that is not proportional to 1/2.
Answer:NO
Step-by-step explanation:
17 is a prime number hence can't be simplified.
⇒ 17/8 can't be simplified
What is the square root of 25
Answer: 5
Step-by-step explanation:
5*5 is equal to 25
Answer:
5
Step-by-step explanation: The square root of 25 is 5 because 5x5=25 or [tex]5^{2}[/tex]=25
Jim has some socks in two drawers. In one drawer he has 3 red and 6 green socks. In the other drawer he has 2 red and 2 green socks. If jim takes one sock out of each drawer, how probable is it that both will be red?
Answer:
5/6
Step-by-step explanation:
There are 5 steps to solving this problem:
Calculate the number of marbles in each drawerCalculate the fractional number of red marbles in each drawerThe answer is the number of red marbles in both drawers added together.Using these steps, we see that:
9 in the first drawer and 4 in the other drawer 3/9 or 1/3 of the socks in the first drawer are red, and 1/2 of the socks in the second drawer are redAdding 1/3 and 1/2 together equals 5/6Therefore, the answer is 5/6!If 2a+2/a=4, what is the value of 2a^2+2/a^2
Answer:
4
Step-by-step explanation:
2a + 2 / a = 4
2a + 2 = 4a
4a - 2a = 2
2a = 2
a = 1
2a² + 2 / a²
a = 1
2(1²) + 2 / 1²
2 + 2 / 1
4
The triangular right prism shown below has a triangular base whose perimeter is 22.4 inches and whose area is 15.2 inches. If its height is 9.7 inches, then which of the following is its volume in cubic inches?
The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is 147.44 in³
What is volume?
Volume is the amount of space occupied by a three dimensional shape or object.
The volume of a triangular prism is given by:
Volume = Area of triangular base * height.
Hence, for a triangular right prism whose area is 15.2 inches. If its height is 9.7 inches:
Volume = 15.2 * 9.7 = 147.44 in³
The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is 147.44 in³
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System of Equations- pls help with the following problem
Solve the System of equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step).
a) x+y=1
2x+y=5
b) x+2y = 4
x +y = 1
c) x-y=-5
x+y= 11
Pls show your work as I want to understand how to solve this type of equation.
Answer:
b no.is the correct answer.
Solve for value and variable. Be sure to write a proportion
Please give full explanation that would be helpful.
Answer:
Step-by-step explanation:
Basic propotionality theorem: If a line is drawn paralle to one side of a triangle and intersect other two sides in distinct points, then the line segment divide the two linesin same ratio.
[tex]\sf \dfrac{LP}{PN}=\dfrac{LO}{OM}\\\\\dfrac{x+12}{5}=\dfrac{22}{8}\\\\\text{cross multiply,}\\\\[/tex]
8*(x + 12) = 22*5
8x + 8*12 = 110
8x + 96 = 110
8x = 110 - 96
8x = 14
x = 14/8
x = 1.75
Keisha received a $90 gift card for a coffee store. She used it in buying some coffee that costs $8.47 per pound. After buying the coffee, she had $47.65 left on her card. How many pounds of coffee did she buy?
Subtract to find how much was spent on coffee:
90 - 47.65 = 42.35
Divide what was spent by the price per pound:
42.35 / 8.47 = 5
They bought 5 pounds of coffee
Which parabola will have one real solution with the line y = x – 5? y = x2 x – 4 y = x2 2x – 1 y = x2 6x 9 y = x2 7x 4
System of equations y = x² + 7x + 4 has one real root with the line y = x -5.
What is the discriminant in the quadratic equation?A quadratic equation is the polynomial equation of two degrees in one variable. The general form of a quadratic equation is ax² + bx + c = 0.
The quadratic equation formula for the solution of roots.
[tex]\rm (\alpha ,\beta ) = [ -b[/tex]±[tex]\rm \sqrt{b^{2} - 4ac} /2ac[/tex]]
The discriminant is the [tex]\rm \sqrt{b^{2} - 4ac}[/tex] part of the quadratic equation
If D is greater than zero then the roots are real and distinct.
If D is equal to zero then the roots are real and equal.
If D is less than zero then the roots are imaginary and unequal.
y = x² + 7x + 4
From First option, System of equations
y = x² + x – 4
y = x – 5
So, x - 5 = x² + x – 4
x² + x – 4 - x + 5 = 0
x² + 1 = 0
discriminant = b²- 4×a×c
= 0²- 4×1×1
-4 < 0, therefore the equation has no real roots.
From Second option, System of equations
y = x² + 2x – 1
y = x – 5
So, x - 5 = x² + 2x – 1
x² + 2x - 1 - x + 5 = 0
x² + x + 4 = 0
discriminant = b²- 4×a×c
= 1²-4×1×4
-15 < 0 therefore, the equation has no real roots.
From Third option, System of equations
y = x² + 6x + 9
y = x – 5
So, x - 5 = x² + 6x + 9
x² + 6x + 9 - x + 5 = 0
x² + 5x + 4 = 0
discriminant = b²- 4×a×c
= 5²-4×1×4
9 > 0 therefore, the equation has two different real roots.
From Fourth option, System of equations
y = x² + 7x + 4
y = x – 5
So. x - 5 = x² + 7x + 4
x² + 7x + 4 - x + 5 = 0
x² + 6x + 9 = 0
discriminant = b²- 4×a×c
= 6²-4×1×9 = 0
0 therefore, the equation has one real root.
Since, System of equations y = x² + 7x + 4 has one real root with the line y = x -5.
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Answer:
D on edge
Step-by-step explanation:
Please help with this question I have been stuck on it for so long
Answer:
Step-by-step explanation:
If i is 300 times as much as k, then i=300k.
So we have k(something)=300k -> that something is 300
solve for the missing side
Answer: D
Step-by-step explanation:
You decide to put $2,000 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate of 4% per year and is compounded monthly,
how long does it take until you have $3.000 without depositing any additional funds?
Answer:
12.5 years = 216 months
Step-by-step explanation:
4% of 2000= $80
1000/80=12.5
It will take 12.5 years to make $1000 on its own without adding additonal funds.
Please help with this question
Quadrilateral and Rhombus
Answer:
square ,rhombus, parallelogram
Step-by-step explanation:
please mark me as brainlest
Can somebody please help this is due very soon
Your answer is
Slope = -1.000/2.000 = -0.500x-intercept = 7/1 = 7.00000y-intercept = 7/2 = 3.50000Step-by-step explanation:
(x^2-2x)(2x+3) is equivalent to expression
Answer:
[tex]( {x}^{2} - 2x)(2x + 3) \\ \\ ( {x}^{2} )(2x) + ( {x}^{2} )(3) + ( - 2x)(2x) + ( - 2x)(3) \\ \\ = 2 {x}^{3} + 3 {x}^{2} - 4 {x}^{2} - 6x \\ \\ = 2 {x}^{3} - {x}^{2} - 6x[/tex]