Answers
Answer:
f(1) = 1
Step-by-step explanation:
To evaluate a function, you see the y value it gives when you plug in the x value.
When you plug in 1 for the x value, the y value is also 1, so f(1) = 1
Related Questions
Physicists estimate that there are between 1078 and 1082 atoms in the universe. How do these two numbers compare with one another? If the larger number is right, how many universes with the smaller number of atoms would fit inside the larger universe?
Answers
Answer:
10,000 universes with the smaller number of atoms would fit inside the larger universe
Step-by-step explanation:
The correct question is as follows;
Physicists estimate that there are between 10^78 and 10^82 atoms in the universe. How do these two numbers compare with one another? If the larger number is right, how many universes with the smaller number of atoms would fit inside the larger universe?
Solution
To find the amount of the smaller number of atoms that will fit into the larger, we simply divide
Thus, we have;
10^82/10^78 = 10^4 = 10,000
Estimates are used to give the approximated value of a quantity.
10000 of the smaller universe will fit in the larger universe.
The number of atoms is:
[tex]\mathbf{n_1 = 10^{78}}[/tex]
[tex]\mathbf{n_2 = 10^{82}}[/tex]
(a) The larger universe
By comparison,
[tex]\mathbf{10^{82} > 10^{78}}[/tex]
This means that: the atoms in the second universe are larger than the number of atoms in the first.
(b) The number of small universe in the large universe
This is calculated by dividing the number of atoms in the large universe by the small universe
So, we have:
[tex]\mathbf{n = \frac{n_2}{n_1}}[/tex]
[tex]\mathbf{n = \frac{10^{82} }{ 10^{78}}}[/tex]
Apply law of logarithm
[tex]\mathbf{n = 10^{82 - 78} }[/tex]
[tex]\mathbf{n = 10^{4} }[/tex]
[tex]\mathbf{n = 10000 }[/tex]
Hence, 10000 of the smaller universe will fit in the larger universe.
Read more about estimates at:
https://brainly.com/question/17226219
Three teachers equally shared StartFraction 4 Over 5 EndFraction of a flat of paper that was donated to the school. What fraction of the flat of paper did each teacher receive?
Answers
Answer:
[tex]Each = \frac{4}{15}[/tex]
Step-by-step explanation:
Given
[tex]Fraction = \frac{4}{5}[/tex]
[tex]Teachers = 3[/tex]
Required
Determine fraction of each teacher
Each fraction is calculated by dividing total fraction by number of teachers as follows:
[tex]Each = \frac{Fraction}{Teachers}[/tex]
[tex]Each = \frac{4}{5}/3[/tex]
[tex]Each = \frac{4}{5} * \frac{1}{3}[/tex]
[tex]Each = \frac{4}{15}[/tex]
(4/5) / 3 =
4/5 * 1/3 =
4/15 <== each teacher received 4/15 of a flat
If a roof has a pitch of 5 to 11, how high will the roof rise over a 33-foot run?
a.
3
C.
2
72 feet
1 feet
b. 15 feet
d.
20 feet
Answers
The answer is b. 15ft
The veterinarian
has seen 47 dogs, 19 cats, 7 exotic birds, and
3 horses this week. Complete the bar diagram
and find the total number of animals seen by
the veterinarian this week.
Answers
Answer:
76 animals
Step-by-step explanation:
47+19+7+3= 76 animals.
A DVD rental store wants to know what proportion of its customers are under age 21. A simple random sample of 400 customers was taken, and 280 of them were under age 21. Presume that the true population proportion of customers under age 21 is 0.68. What is the probability that the sample proportion \hat{p} is within 0.03 of the true proportion of customers who are under age 21 that is , what is the probability that \hat{p} is between 0.68 - 0.03 and 0.68 0.03
Answers
Answer:
The sample proportion [tex]\hat{p}[/tex] is within 0.03 of the true proportion of customers who are under age 21 is 0.803
Step-by-step explanation:
Total no. of customers = n = 400
We are given that the true population proportion of customers under age 21 is 0.68.
So, p =0.68
q=1-p=1-0.68=0.32
Standard deviation =[tex]\sqrt{\frac{pq}{n}}=\sqrt{\frac{0.68 \times 0.32}{400}}= 0.023[/tex]
We are supposed to find the probability that the sample proportion [tex]\hat{p}[/tex] is within 0.03 of the true proportion of customers who are under age 21 that is , what is the probability that [tex]\hat{p}[/tex]is between 0.68 - 0.03 and 0.68+ 0.03
[tex]P(0.65 < X < 0.71) = P((\frac{0.65-0.68}{0.0233}) < Z < (\frac{0.71-0.68}{0.0233}))[/tex]
Using Z table
[tex]= P(-1.2875 < Z < 1.2875)= 0.803[/tex]
Hence the sample proportion [tex]\hat{p}[/tex] is within 0.03 of the true proportion of customers who are under age 21 is 0.803
Heather solved this problem:
75 is 300% of what number?
Part
0 75
300
What error did Heather make?
None. Her work is correct.
O She multiplied 75 and 4 incorrectly.
She should have divided 75 by 4, and divided 100
by 4.
O She used the part, 75, to write the percent ratio.
300
The part-to-whole percent ratio is 100
?
100
0
Whole
part
whole
75 x 4 300
100 x 4 400
Answers
Answer:
she used the part 75 long story short d
Step-by-step explanation:
I’ll mark brainliest tysm
Answers
-13 EX: 2(-4) - 5 = -8 -5 = -13
-7
-1
1
3
THESE ARE THE ANSWERS
Yosef is trying to determine whether or not he drinks enough water each day today on average he drank 2/5 of a glass of water every hour for 10 hours, to determine how much water he had he set up the equation 2/5 x 10 =? What is the total amount of water yosef drak
Answers
Answer:
4 glasses
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Four times the sum of f and g is identical to six times g
Answers
Answer:
4(f+g)=6g
Step-by-step explanation:
4(f+g)=6g
Can someone show me how to do this?
10t - 4<2t
Answers
Answer:
t < [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
10t - 4 < 2t
8t - 4 < 0
8t < 4
t < [tex]\frac{1}{2}[/tex]
Suppose that X is a random variable with mean 20 and standard deviation 5. Also suppose that Y is a random variable with mean 40 and standard deviation 10. Assume that the correlation between X and Y is 0.5. Find the mean and variance of the random variable Z = ????3X ???? 2Y . Be sure to show all your work.
Answers
Answer:
a
[tex]E(Z) = 202 [/tex]
b
[tex]E(Z) = 198[/tex]
c
[tex]E(Z) = -140 [/tex]
Step-by-step explanation:
From the question we are told that
The mean of X is [tex] E(X) = 20[/tex]
The standard deviation of X is [tex]s_1 = 5[/tex]
The mean of Y is [tex]\= y = 40[/tex]
The standard deviation of Y is [tex]s_2 = 10[/tex]
Considering question a
Generally the mean of Z = 2 + 10X. is mathematically represented
[tex]E(Z) = E[2 + 10X ][/tex]
=> [tex]E(Z) = 2 + 10 E(X)[/tex]
=> [tex]E(Z) = 2 + 10 * 20 [/tex]
=> [tex]E(Z) = 202 [/tex]
Considering question b
Generally the mean of Z = 10X - 2.. is mathematically represented
[tex]E(Z) = E[10X -2 ][/tex]
=> [tex]E(Z) = 10E(X) - 2[/tex]
=> [tex]E(Z) = 10* 20 - 2[/tex]
=> [tex]E(Z) = 200 - 2[/tex]
=> [tex]E(Z) = 198[/tex]
Considering question c
Generally the mean of -3X - 2Y is mathematically represented
[tex]E(Z) = E[-3X -2Y ][/tex]
[tex]E(Z) = -3 E(X) -2E(Y) [/tex]
=> [tex]E(Z) = -3 * 20 -2* 40 [/tex]
=> [tex]E(Z) = -140 [/tex]
What is the distance between -3 and 2 on the number line?
-5-4-3
1
2
3
4
5
-5
-1
_ _
7
1
Answers
Answer: the answer is 190 to the power of 7
Step-by-step explanation:
so u just have to multiply by 35 and u will get the answer
Answer:
4
Step-by-step explanation:
(-3) -2 -1 0 1 (2)
that therefore counting from left to right will give us 4 because there are 4 numbers inbetween (-3) and (2).
4.19. A study by Peter D. Hart Research Associates for the Nasdaq Stock Market revealed that 43% of all American adults are stockholders. In addition, the study determined that 75% of all American adult stockholders have some college education. Suppose 37% of all American adults have some college education. An American adult is randomly selected. a. What is the probability that the adult owns stock and has some college education
Answers
Answer:
P (S∩E) = 0.1591
Step-by-step explanation:
Let the stockholders be donated by S then the P (s)= 0.43
Let the stockholders having some degree be donated by D then the P (d)= 0.75
Let the American having some college degree be donated by E then the
P (E)= 0.37
As the events are independent their joint probability can be found by multiplying the individual probabilities
P (S∩E) = P(s) . P (E)= 0.43 * 0.37= 0.1591
Your test scores in one class are 80 and 86. What possible scores can you earn on your next test to have a test average between 83 and 88, inclusive?
Answers
Answer:
83
Step-by-step explanation:
80+86=166
166÷2=83
Find the GCF for the following list
32, 140
Answers
Answer:
the gcf of 32 and 140 is 4
i hope this helps :)
Evaluate the function for the indicated values of x.
[Look at image]
Answers
Answer:
f(-10) = -19
f(2) = 4
f(-5) = -9
f(-1) = 1
f(8) = -5
Step-by-step explanation:
Find the distance between (-13, -3.5) and (17, 2)
Answers
Distance = 30.5
I hope this helps.
Solve the following expression when a=5
4^2+5a-2a
Answers
Answer: 31 i think
Step-by-step explanation:
NOT TRYING TO RUSH YOU OR ANYTHING BUT CAN YOU PLEASE HURRY UP AND HELP ME!!
Answers
Answer: A.
Step-by-step explanation:
Flight Path of a Bird
In this activity, you'll use quadratic equations to model situations and interpret the solutions to the equation
The flight path of a bird can be represented by this equation, where x represents the horizontal distance, in feet, from a tree
branch and y represents the height, in feet, relative to the ground.
y = 2x2 - 8x + 10
Part A
Question
Rewrite the equation modeling the path of the bird in vertex form by completing the square,
Substitute the values of a, h, and k to complete the equation.
Answers
Answer:
The equation modeling the path of the bird in vertex form is [tex]y=2(x-2)^2+2[/tex]
Step-by-step explanation:
General vertex form equation: [tex]f(x) = a(x-h)^2 + k[/tex]
where (h,k) is the vertex
The flight path of a bird can be represented by this equation: [tex]y = 2x^2 - 8x + 10[/tex]
To convert the equation in vertex form
Completing the square :
[tex]y = 2(x^2 - 4x + 5)\\y = 2(x^2 - 4x + 5 +(2)^2-(2)^2)\\y = 2(x^2 - 4x + 5 +(2)^2-4)\\y = 2((x-2)^2-4+5)\\y = 2((x-2)^2+1)\\y=2(x-2)^2+2[/tex]
Where:
(h,k)=(2,2)
a=2
Hence the equation modeling the path of the bird in vertex form is [tex]y=2(x-2)^2+2[/tex]
Can anyone tell me if u pass the ela state exam but u didn't pass the math state exam can u still go to 9th grade cuz im in 8th please answer and my grades are always good so does it help? and my classwork etc is always around 80-100 is it good
Answers
Choose the letter of the correct answer Write your answer on a separate
sheet
1. What do you call an expression in fraction form in which the numerator and
the denominator are polynomials?
A. rational algebraic equation
C. rational algebraic expression
B. linear algebraic expression
D. finear algebraic equation
2. In a rational algebraic expression written in the form of where P and Q are
polynomials, the polynomial Q must not be equal to
AO
C 2
B.
D. 3
3. Which of the following is a rational algebraic expression?
Answers
Answer:
1. Rational Algebraic Expression
2. 0
3. See explanation
Step-by-step explanation:
Solving (1):
From the list of given options, Option C. Rational Algebraic Expression answers the question.
And it is always of the form P/Q where P and Q are polynomials
Take for instance
P = x² - x + 2 and Q = x² + 2x - 4
P/Q = (x² - x + 2)/(x² + 2x - 4)
The above expression is a perfect example of a Rational Algebraic Expression
Solving (2): The denominator of a rational algebraic expression must not equal 0
Hence, option A answers the question
Solving (3): The options are missing.
However, a perfect example has been sighted on (1) above
If QS bisects ZRQP, mZRQS =
2x + 10, and mZSQP = 3x - 18,
find mZRQS.
Answers
Answer:
66°
Step-by-step explanation:
[tex]\because \overrightarrow{QS} \: bisects\: \angle RQP\\\\
\therefore m\angle RQS = m\angle SQP\\\\
\therefore 2x + 10 = 3x - 18\\\\
\therefore 18 + 10 = 3x - 2x\\\\
\therefore 28 = x\\\\
\therefore x = 28\\\\
m\angle RQS = (2x + 10)\degree \\\\
m\angle RQS = (2\times 28+ 10)\degree \\\\
m\angle RQS = (56+ 10)\degree \\\\
\huge \purple {\boxed {m\angle RQS =66\degree}} \\\\
[/tex]
During one particular sales day, 75% of the store's customers paid with credit cards. If there were 60 customers that day, how many used a credit card?
Answers
Answer:
45 customers
Step-by-step explanation:
Total customers= 60 customers
100% = 60
75% = 75/100 × 60
=45 costumers
Answer:
It is 45 customers
Seventeen less than a number
is negative two. What is that
number?
Answers
Answer:15
Step-by-step explanation:
15-17=-2
Answer:
15
Step-by-step explanation:
15
i’ll mark brainlest to whoever answers first :D
Answers
Answer:
10
The slope is 10 cuz rise/run rise is 10 run is 1. so 10÷1=10
Answer:
The answer is 7.2
What is a factor of 12
Answers
Answer:
2 x 3 (prime number, 2 distinct)
Step-by-step explanation:
please help me solve this equation i need step by step explaining 3x + 2= x+4(x+2)
Answers
Remove the ()
Collect terms
Move variable to the left hand side and change its sign
Move variable to the right hand side and change its sign.
Collect like terms
Subtract the numbers
Divide both sides of the equation by -2
And your solution should be x= -3
Find two positive decimals a and b that make
the following statement true. Then find two positive decimals a and b that
make the statement false.
Ifa < 1 and b < 1, then a + b < 1.
Help plzzzz
Answers
for making the statement true then find any decimal that when added won't give an answer greater than one.
eg, 0.5 + 0.2= 0.7 this makes the statement a+b<1 correct.
to make the statement false, add two decimals that'll gv answer greater fhan one.
eg, 0.8 + 0.3= 1.1, which makes the statement a+b<1 incorrect/ false
Naomi bought a dress on sale for $24. Naomi bought the dress for 60% of the original price. Which equation shows how to find the original cost of the dress?
A.
0.60x = 24
B.
0.40x = 24
C.
24x = 60
D.
60 – 24 = x
Answers
Answer:
A
Step-by-step explanation:
