Answer:
[tex]\huge\boxed{\sf 5x(3-2x^2)}[/tex]
Step-by-step explanation:
[tex]\sf 15x-10x^3\\\\Greatest Common Factor = 5x\\\\So, We'll \ take \ 5x \ common\\\\= 5x ( 3-2x^2)\\\\Thus, this \ is \ the \ factorized\ form\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Easy Points!!!! What net force is required to accelerate a car at a rate of 2 m/s if the car has a mass of 3,000 kg?
Answer:
[tex]\boxed {\boxed {\sf 6,000 \ Newtons}}[/tex]
Step-by-step explanation:
Force can be found by multiplying the mass by the acceleration.
[tex]F= m*a[/tex]
The mass of the car is 3,000 kilograms and the acceleration is 2 meters per second squared.
[tex]m=3,000 \ kg \\a= 2 \ m/s^2[/tex]
Substitute the values into the formula.
[tex]F= 3,000 \ kg * 2 \ m/s^2[/tex]
Multiply.
[tex]F=6,000 \ kg*m/s^2[/tex]
1 kg*m/s² is equal to 1 Newton (N). Therefore, our answer of 6,000 kg*m/s² is equal to 6,000 Newtons.
[tex]F= 6,000 \ N[/tex]
The force required is 6,000 Newtons
Mass = 3,000 kg
Acceleration = 2 m/s^2
To Find:The net force.
Formula:Force = Mass × Acceleration
Explanation:Force = 3,000 kg × 2 m/s^2
Force = 6,000 kg × m/s^2
We know that kg × m/s^2 = Newton.
Hence, the net force required is 6,000 N.
6,000 N is the correct answer.
Ms. Sanchez's guests drank 534534 gallons of pink lemonade in 1414 hour. What was the average rate in gallons per hour which her guests drank the pink lemonade?
find the value of x
help
Answer:
6.7
Step-by-step explanation:
This is trigonometry. We will have to find the opposite leg and the hypotenuse is given to us as 10. So we will have to use sin.
Soh in Soh cah toa
So sin(42)=x/10
10 times sin(42)=x
Evaluate using a calculator=6.69130606 and so on
Rounded to the nearest tenth is 6.7
So the answer is 6.7
Just double check my work tell me if I’m wrong. But you don’t have to fix it. Thank you
Answer:
Todas estan bien
Step-by-step explanation:
If m<2 = 48° and m<3 = 76, determine m<1.
Answer:
do you have a screenshot of the angle or something? is it a triangle or another shape? anyhwhooo I believe your answer should be 56°
Step-by-step explanation:
48° + 76° = 124°
180° - 124° = 56°
so your answer is 56°
Help I will give you brainliest
Answer: 56 45 46
Step-by-step explanation: learned about it in math class
im dumb sorry somebody help?
Explain in your own words when it is best to solve a system using analytical methods versus using graphical or algebraic methods.
Answer:
Analytical methods are the preferred way to determine the outcome of a hypothesis when associated equations are simple and a precise answer is desired.
The algebraic method is more precise. When you "solve" a system you are really identifying the points that all of the lines have in common. In other words, the point at which the lines intersect. Finding the solution with graphs is not precise, but should usually be close enough if that is what is asked.
An envelope is 48 centimeters wide, and it measures 52 centimeters along the diagonal. How tall is the envelope?
Answer:
20 cm.
Step-by-step explanation:
Pythagorean Theorem a^2 + b^2 = c^2 (c is the hypotenuse).
Plug it in.
48^2 + b^2 = 52^2
2,304 + b^2 = 2,704
Isolate the variable.
b^2 = 400
b = 20
What equation models the points on the graph
helpp plssssss i need
Answer:
3m^4
Step-by-step explanation:
x^y
x is the base and y is the exponent
Solve for x:-2|0.25x+2|=10
Answer:
x=25
I'm sorry if I'm wrong
5 minus the square a number
Answer:
5 - x^2
Step-by-step explanation:
5 - x^2 the translation
You want to buy some noodles. A 7-ounce package costs $2.17. A 16-ounce package costs $4.64. An 18-ounce package costs $5.76. Which package is the best buy? The -ounce package of noodles is the best buy.
B
D
Apply the sorted edges algorithm to the graph above. Give your answer as a list of vertices, starting
and ending at vertex A. Example: ABCDA
> Next Question
please help on this question!!
Answer:
132°
Step-by-step explanation:
Since there are parallel lines, this will help figure out what the value of x is.
A straight line equals 180°
We know that one side is 48°
Subtract
180 - 48 = 132
Is this relation a function?
Answer:
yes though i am not completely sure
Step-by-step explanation:
what is 2/3 divdided by 1/6
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
This should be rlly easy please helpp!!
Answer: 1,000 cubic inches
explanation: in a cube, all sides are equal so if one side=10, the rest are the same. now to find volume u do length x width x height. (aka 10x10x10)
Answer:
It should be the second one
Step-by-step explanation:
Because in cubic inches it is 1,000.
If you draw a single card once from a deck of ordinary laying cards, what is the probability that it will be a 3 or a black card
Answer:
The required probability = 0.5385
Step-by-step explanation:
The no. of cards in a deck = 52
The event of having 3 in a draw of a single card = 4/52
The event of having a black card in a draw of a single card = 26/52
The event of having a black card and 3s = 2/52
Let T represent the event of having 3.
U to represent the event of having a black card; &
V to represent the event of having a black card that is 3s
Then the probability that it will be a 3 or a black card is;
P( T or U) = p(T) + p(U) - p(T and U)
P( T or U) = 4/52 + 26/52 - 2/52
P( T or U) = (4+26-2)/52
P( T or U) = 28/52
P( T or U)= 7/13
P( T or U) = 0.5385
What is the mother land
A-Mother russia
B-Morther amica
C-mother shrek
Answer:
A
Step-by-step explanation:
Mother Russia is the mother land
Please Help me with this
Answer:
16X^2 - 8x
Step-by-step explanation:
A = L x W
L = x + 5 + 3x + 4x - 9 = 8x - 4
W = 2x
(8x - 4) (2x) = 16x^2 - 8x
Find the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income.
Answer:
The smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.
Step-by-step explanation:
The complete question is:
The mean salary of people living in a certain city is $37,500 with a standard deviation of $2,103. A sample of n people will be selected at random from those living in the city. Find the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income. Round your answer up to the next largest whole number.
Solution:
The (1 - α)% confidence interval for population mean is:
[tex]CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]
The margin of error for this interval is:
[tex]MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]
The critical value of z for 90% confidence level is:
z = 1.645
Compute the required sample size as follows:
[tex]MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]
[tex]n=[\frac{z_{\alpha/2}\cdot\sigma}{MOE}]^{2}\\\\=[\frac{1.645\times 2103}{500}]^{2}\\\\=47.8707620769\\\\\approx 48[/tex]
Thus, the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.
The domain of a function f(x) is x>_ 0, and the range is y<_ -1. What are the domain and range of its inverse function, f'(x)?
Answer:
Domain of inverse: [tex]x \le -1[/tex]
Range of inverse: [tex]y \ge 0[/tex]
Explanation:
The domain and range swap. This is because the inputs (x) and outputs (y) swap roles when going from the original function to the inverse, and vice versa.
How many ways are there to pick 5 people from a committee be of 9 people?
Answer: 3024 ways
Step-by-step explanation: 9*8*7*6*5=3024
Over a period of 12 hours the temperature dropped 36°F what was the average change in temperature in one hour?
Answer:
3°F
Step-by-step explanation:
36 divided by 12 is 3
Answer:
3 degrees F
Step-by-step explanation:
36/12 = 3
what is the 5th root of 1/32
Answer:
[tex] \sqrt[5]{ \frac{1}{32} } \\ = \sqrt[5]{( \frac{1}{2} ) {}^{5} } \\ = \frac{1}{2} [/tex]
1/2 is the correct answer of this question......thank you ☺️
The Franklin Park Zoo has 372,194 visitors per month. The San
Diego Zoo has 784,832 visitors per month. ABOUT how many more
visitors does the San Diego Zoo get? Round to the nearest ten
thousand.
Answer:
410,000
Step-by-step explanation:
exact answer is 412,638
write the slope-intercept form of the equation of each line. identify the slopes y-intercept.
Answer:
Step-by-step explanation:
1) y intercept is 0
2) y intercept is 1
3) y intercept is -4
4) y intercept is 4
5) y intercept is 5
6) y intercept is 0
7) y intercept is 5
8) y intercept is 4
Answer:
Same things with the slopes.
Step-by-step explanation:
y= mx+b
Find the value of the function at the given value of x. -x/x+3
Answer:
=2
Step-by-step explanation:
-x/x + 3
-1 +3 +2