Given that g(x)=x² find each of the following.
g(2)=
Answer:
g(2) = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = x²
g(2) is x = 2
Step 2: Evaluate
Substitute in x: g(2) = 2²Exponents: g(2) = 4you roll a 6 sided die, what is the probability or rolling 1 or a number greater then 4
Answer:
1/2
Step-by-step explanation:
the 2 numbers greater than 4 on a six sided die are 5 and 6, and with the 1, that is 3 numbers, or 3 sides of the die.
3/6 simplifies to 1/2
the product of two number is 20 and the sum of square is 41 find the number
Let the two number is a and b
so,
product =ab=20
sum of square=[tex]\bold{a^2+b^2=41 }[/tex]
Then,
[tex]\bold{(a+b)^2=a^2+b^2+2ab }[/tex]
[tex]\bold{ (a+b)^2=41+2×40 }[/tex]
[tex]\bold{ (a+b)^2=81 }[/tex]
[tex]\bold{a+b=\sqrt{81} }[/tex]
[tex]\bold{a+b=9 }[/tex]•••••••••(equation I)
Now,
[tex]\bold{(a-b)^2=a^2+b^2-4ab }[/tex]
[tex]\bold{ (a-b)^2=41-4×20 }[/tex]
[tex]\bold{(a-b)^2=41-40 }[/tex]
[tex]\bold{a-b=\sqrt{1} }[/tex]
[tex]\bold{a-b=1 }[/tex]••••••••(equation II)
Now,combine the equation I and equation II
we,get
[tex]\bold{a+b+a-b=9+1 }[/tex]
[tex]\bold{a+\cancel{b}+a\cancel{-b}=10 }[/tex]
[tex]\bold{ 2a=10 }[/tex]
[tex]\bold{a=\dfrac{10}{2} }[/tex]
[tex]\blue{\boxed{ a=5 }}[/tex]
Then,
put the value of a in equation II.
we get that,
[tex]\bold{5-b=1 }[/tex]
[tex]\bold{b+1=5 }[/tex]
[tex]\bold{b=5-1 }[/tex]
[tex]\bold{\boxed{\blue{b=4}} }[/tex]
so,
The two number is 5 and 4.
What is a pirate's favorite part of statistics? Please i need this for school
Answer: R-squared (pronounced ARRRrrr-squared)
LOL, hope it helped.
Answer: R
That's my answer
what is equivalent to the expression 2/5 divided by 4
Please explain your work. The answer is not 6785.8, 1.5, or 6782.4.
Answer:
[tex]2160\pi \:\mathrm{ft^3} \approx 6786\:\mathrm{ft^3}[/tex]
Step-by-step explanation:
The volume of a cylinder is given as:
[tex]r^2\pi\cdot h[/tex].
Thus, the difference of the cylinders' volumes are:
[tex]|18^2\cdot 20\cdot \pi - 12^2\cdot 30 \cdot \pi|\approx \fbox{$6785.84\:\mathrm{ft^3}$}[/tex].
Since you've said [tex]6785.8[/tex] is not being accepted as an answer, please check all instructions to see if there are directions asking you to specifically round your answer. If not, you can ask your teacher/instructor what they're looking for.
Samples G and H were selected from the same population of quantitative data and the mean of each sample was determined. The mean of sample G is equal to the mean of the population. Which of the following statements must be true?
I. The mean of sample H must also be equal to the population mean.
II. The mean of sample G, TG, is a point estimator for the mean of the population.
III. The mean of sample H, my, is a point estimator for the mean of the population.
a. I only
b. II only
c. III only
d. I and II
e. II and III
Answer: e. II and III
II. The mean of sample G, TG, is a point estimator for the mean of the population.
III. The mean of sample H, my, is a point estimator for the mean of the population.
Step-by-step explanation:
The point estimate simply means deriving a single value from a sample which could be used as a good or close estimate of the population from which the sample was drawn. A point estimator for the mean in the scenario above means a best guess of the mean value of the population from the sample mean.
Hence, since both sample G and H are drawn from the same population, both TG and TH which are mean of sample G and H can be used as a point estimator for the mean of the population.
However, it is does not necessarily mean that either the sample mean TG or TH must be equal to the population mean
Please help me at least one of them number it!
Answer:
1) y+6 or 6+y 2) 12 x n = x 3) 24 + b = x 4) x - 18 5) n - 5 6)a / 3 or 3 / a
Step-by-step explanation:
What is the probability of rolling a three and flipping tails? Brainliest for correct answer.
Answer:
1/12
Step-by-step explanation:
dice have 6 sides and the coin has 2 sides, so u multiply 6x2 to get your denominator 12. you are trying to get 1 side of the dice, and 1 side of the coin so the numerator is 1. when put together you get the fraction 1/12
Solve the
right triangle
Answer:
x= 7.41 (3 s.f.)
y= 9.53 (3 s.f.)
∠B= 51°
Step-by-step explanation:
Please see the attached picture for the full solution.
i take out the belt for u my I0ved 1.
no h0.mõ if u a man. . .
Answer:
Truw
Step-by-step explanation:
It is exceptional
Evaluate -2 - 6y when x=5 and y =-3
Answer:
-10-6.(-3)
-10+18
=8
Step-by-step explanation:
What's the number come next 0,3,3,4,8,2,?
sorry i don't know
sorry
sorry
I will give Brainiest to whoever answers correctly !!!
Answer:
$13,724
Step-by-step explanation:
From the above question, we are given the following values:
Principal = P = $12,000
Interest = r = 2.25% = 0.0225
Compounded semi annually = n = 2
Time (t) = 6 years
From the question, we understand that we are to find the total (full) Amount Karen withdrew.
The formula to use to calculate the Total Amount of money given that this is a compound interest question is:
Total(full) Amount = P( 1 + r/n) ^n/t
= $12,000( 1 + 0.0225/2) ^2×6
= $12,000(1.01125)^12
= $13724.093289
Approximately to the nearest cent
≈ $13,724
Therefore, Karen withdrew $13,724 from the account.
I did not solve this question, I saw another answer and decided to share it.
What is the percent of change from 6 to 9
Answer is: 50%
pretty easy/simple solution, you could have just looked it up.
Help please!
Identify a set of parallel and a set of perpendicular lines in this image.
Answer:
Option 1.
(I don't really have any explanation to add on)
Answer:
the 3th option
Step-by-step explanation:
hope it help you
Find the perimeter of the figure. Round all figures to the nearest hundredths place.
Isosceles trapezoid
13 ft
4 ft
9 ft
a. 26.47 ft
b. 26.90 ft
c. 30.94 ft
d. 24.45 ft
Given:
Consider the below figure attached with this question.
To find:
The per perimeter of the isosceles trapezoid. Round all figures to the nearest hundredths place.
Solution:
Consider the isosceles trapezoid is ABCD.
Draw two perpendicular from C and D to AB as shown in second figure.
Now, CDEF is a rectangle,
[tex]EF=CD=9\text{ ft}[/tex]
[tex]AB-EF=13-9[/tex]
[tex]AB-EF=4\text{ ft}[/tex]
It is an isosceles trapezoid, so [tex]\Delta ADE\cong \Delta BCF[/tex].
[tex]AE=BF=\dfrac{4}{2}=2\text{ ft}[/tex]
Now,
[tex]AE^2+DE^2=AD^2[/tex] [Pythagoras theorem]
[tex]2^2+4^2=AD^2[/tex]
[tex]4+16=AD^2[/tex]
[tex]\sqrt{20}=AD[/tex]
[tex]AD=BC\approx 30.94[/tex] [Isosceles trapezoid]
Find the perimeter of the figure.
[tex]Perimeter=AB+BC+CD+AD[/tex]
[tex]Perimeter=13+4.47+9+4.47[/tex]
[tex]Perimeter=30.94\text{ ft}[/tex]
Therefore, the correct option is c.
Shorter Version: C lol
Which of the following is a simple event?j
A. Rolling a die and tossing a coin
B. drawing a card from a deck of cards and rolling a die
C. spinning a spinner
D. tossing a coin 3 times
Answer:
D. tossing a coin 3 times
Help plz:)))I’ll mark u Brainliest
Determine if the two triangles are congruent. If they are, state how you know.
Answer:
There is not enough information to say they are congruent
Step-by-step explanation:
To prove two triangles are congruent, you need 3 things, which you can see through the list of options you were given. But since we only have two, there isn't enough information to prove the are congruent.
PLEASE HELP i’ll mark brainliest!
Answer:
The solution is -1,-1
Step-by-step explanation:
The solution of a graph is where the two lines intersects and the this graph intersects at -1,-1
Please help me with my homework!!
Answer:
2/3
Step-by-step explanation:
What is the value of a in the equation? 22= a/11
A. 2
B. 33
C. 222
D. 242
Answer:
Step-by-step explanation:
If you divide 33 by 11 it’ll be 3 so we can cross B off, and A too because it’s not a double digit
So that leaves us with C & D.
If we divided 222 and 11 it would leave us with 10 which doesn’t match 11, so that leaves us with D
(Sorry if I didn’t’t explain right )
Answer:
d
Step-by-step explanation:
Dean purchased a box of cereal Which of these measurements BEST describes the volume of the box?
1.)154 cubic feet
2.)154 cubic inches
3.)154 cubic meters
4.)154 cubic millimeters
Answer:
2
Step-by-step explanation:
You don't measure cereal in the others because feet, meters and millimeters are too big. Hope this helps.
I will give Brainliest. URGENT!!!
Answer:
RZ = 71
SW = 142
x = 22
Step-by-step explanation:
[tex]3x + 5 + 3x + 5 = 7x - 12 \\ \: \: \: \: \: \: \: \: \: \: \: 6x + 10 = 7x - 12 \\ \frac{ - 7x \: \: \: \: \: \: \: = - 7x}{ - 1x + 10 = - 12} \\ \frac{ \: \: \: \: \: \: \: \: \: - 10 = - 10}{ \frac{ - 1x}{ - 1} = \frac{ - 22}{ - 1} } \\ \\ x = 22[/tex]
If William wants to travel 450 miles in 12 hours, what constant speed (miles per hour) must he travel?
Answer: 37.5 rounded it would be 38
Step-by-step explanation:
Is this correct ? Please help thanks so much
Answer:
yes
Step-by-step explanation:
using elimination you can see every other answer is definitely wrong leaving you with just one which is 2UX
9514 1404 393
Answer:
2UX (your answer is correct)
Step-by-step explanation:
One way to define a parabola is as the set of points equidistant from the focus and directrix.
That means the distance from W to the directrix must be the same as the distance WU. Since the parabola is symmetrical and WU is parallel to the directrix, we have WU = UT = UX. So the double length WT is double the distance UX:
WT = 2UX
Estimate with percents
Estimate each percent
50% of 39
Answer:
Step-by-step explanation:
50 percent of 39=
39/2=19.50
44/13 divided by (-9)
Step-by-step explanation:
44/13 ÷ -9
44/13 *1/-9
44/-117
The equivalent value of the expression A = 44/13 divided by (-9) = -0.3761
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 44/13 divided by ( -9 (
First, we can simplify 44/13 to a decimal:
44/13 = 3.3846 (rounded to four decimal places)
Then we can divide 3.3846 by -9:
3.3846 / (-9) = -0.3761 (rounded to four decimal places)
Therefore, 44/13 divided by (-9) is approximately equal to -0.3761
Hence , the equation is A = -0.3761
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a stop (combined with the brakes) after the end of a run. Suppose that the main chute deploys with probability 0 . 95, and that if the main fails to deploy, the backup deploys with probability 0.999.
Required:
a. What is the probability that one of the two parachutes deploys?
b. What is the probability that the backup parachutes deploys?
Answer:
a. 0.99995 = 99.995% probability that one of the two parachutes deploys
b.0.04995 = 4.995% probability that the backup parachutes deploys
Step-by-step explanation:
a. What is the probability that one of the two parachutes deploys?
Either the first deploys(with probability 95%), or the first does not deploy(probability 5%) and the second does(probability 99.9%). So
[tex]p = 0.95 + 0.05*0.999 = 0.99995[/tex]
0.99995 = 99.995% probability that one of the two parachutes deploys
b. What is the probability that the backup parachutes deploys?
The first does not deploy(probability 5%) and the second does(probability 99.9%). So
[tex]p = 0.05*0.999 = 0.04995[/tex]
0.04995 = 4.995% probability that the backup parachutes deploys
The ratio of men to women working for a company is 5 to 8. If there are 232 women working for the company, what is the total number of employees?
Answer:
The total number of employees is 377.
Step-by-step explanation:
1. You divide total number of women (232) by the ratio of women. (8)
232/8 =29
2. You take 29 and multiply it by the amount of men in the ratio. (5)
29*5=145
3. Finally you just add the total amount of men (145) and the total amount of women. (232)
232+145=377
I hope this helps!
I tried to explain to the best of my ability.
Answer: 377 employees
Step-by-step explanation:
The ratio of men to women can be represented as [tex]\frac{5}{8}[/tex] where the numerator represents how many men are in the company, and the denominator represents how many women are in the company. Given that there are 232 women in the company, we can replace denominator with 232, and then cross multiply.
[tex]\frac{5}{8}= \frac{x}{232}[/tex] After cross multiplying, the expression left would be 8x = 1160. To get the final answer, we would only need to simplify this. It would give us a total of 145, which is how many men work in the company.
Lastly, add the the number or men and women working in the company, and that would be the total people that work in the company