Answer:
x is the input, or independent variable and f(x) is the output, or dependent variable or quantity. f(2) represents the output (y-value) when x = 2. The value of f(2) is 2.
Step-by-step explanation:
If the values of a variable depends on the other variable, then it called dependent variable.
If the value of a variable does not depend on the other, then it is called independent variable.
If a function is f(x)=x, then x is an independent variable and f(x) is a dependent variable.
The given function is
Here, x is the input, or independent variable and f(x) is the output, or dependent variable or quantity.
The notation f(a) represents the output (y-value) when x = a. So, f(2) represents the output (y-value) when x = 2.
Substitute x=2 in the given function.
The value of f(2) is 2.
Answer:
f(x)
Step-by-step explanation:
In a group of 34 students, 12 study both Art and Biology.
14 study Biology but not Art.
5 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
Answer:
3
Step-by-step explanation:
12+14+5=31
so therefor 34-31=3
I'm not too sure but, wouldn't you just do the following
12 + 14 + 5 = 31
which would mean 15 students do art??
How many containers of At the book store, Dan bought 17 books about the solar system, and 12 magazines about dinosaurs. If books cost $15 and magazines cost $4, how much did Dan spend at the book store? *cream will she be able to purchase? *
Answer:
303
Step-by-step explanation:
math
I need 425 divided by 5 with the algorithm please!
Answer:
85
Step-by-step explanation:
I attached my work in a picture below!
Hope this helps :D
pls pls help i’ll mark brainliest quickly!!!
Part A: The number of cubic feet of water, y, in a pool 2 hours after the water starts flowing into the pool is a linear function. The points (40,3000) and (60,4000) lie on the line of the function. Calculate the slope of the line.
Part B: What does the slope of the line represent in Part A? Explain in your own words and use compete sentence.
Part C: Explain how the slope formula is related to the definition of slope. Use complete sentences.
Answer:
m=50
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDAS
Algebra I
Slope Formula:
Step-by-step explanation:
Step 1: Define
Point (40, 3000)
Point (60, 4000)
Step 2: Find slope m
if a chocolate cake is divided into six equal slices and each slice has 280 calories
Answer:
Whats the question?
Step-by-step explanation:
Answer:
1,680
Step-by-step explanation
6 slices each 280 calories, 280 x 6 = 1,680
A 9 in the thousandths place has 10 times the value of a 9 in the ? Place.
Answer:
10,000th place
Step-by-step explanation:
What fraction of the rectangle is shaded? PLS PLS PLS help ASAP! Ty
9514 1404 393
Answer:
1/3
Step-by-step explanation:
The area of the rectangle is ...
A = lw = (21)(12)
The area of the shaded triangle is ...
A = 1/2bh = 1/2(14)(12) = (7)(12)
Then the fraction of the rectangle that is shaded is ...
(shaded area)/(rectangle area) = (7)(12)/((21)(12)) = 7/21 = 1/3
1/3 of the rectangle is shaded.
OMG HELP RN
Sarah climbed 3,600 feet of the way up Pikes Peak and then stopped to rest. After she stops, she continues to climb at a rate of 85 feet per hour for h hours. Which expression indicates her elevation, in feet, h hours after she stops?
A.
3,600 ÷ 85 × h
B.
3,600 + 85 × h
C.
(3,600 + 85) ÷ h
D.
3,600 - 85 × h
Answer: the answer is d hope this helps if not i'm sorry
the current population of earth is estimated to be about 7,440,000,000. express number in scientific notation
Answer:
7.44x10^9
Step-by-step explanation:
A population has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of size 100 is selected and x is used to estimate . a. What is the probability that the sample mean will be within 65 of the population mean
Answer:
z(195) = (195-200)/50 = -0.1
z(205) = (205-200)/50 = +0.1
P(195 < x < 205) = p(-0.1 < z < 0.1) = 0.0797
Step-by-step explanation:
step by step is in they're
Using the normal distribution and the central limit theorem, it is found that there is a 1 = 100% probability that the sample mean will be within 65 of the population mean.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
The mean is of 200, hence [tex]\mu = 200[/tex].The standard deviation is of 50, hence [tex]\sigma = 50[/tex].The sample size is of 100, hence [tex]n = 100, s = \frac{50}{\sqrt{100}} = 5[/tex].We want the probability that the sample mean will be within 65 of the population mean, hence:
[tex]Z = \frac{65}{s}[/tex]
[tex]Z = \frac{65}{5}[/tex]
[tex]Z = 13[/tex]
The probability is P(|Z| < 13), which is the p-value of Z = 13 subtracted by the p-value of Z = -13.
Looking at the z-table:
Z = 13 has a p-value of 1.Z = -13 has a p-value of 0.1 - 0 = 1
1 = 100% probability that the sample mean will be within 65 of the population mean.
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
which expression is equivalent to 12x4(x-3)(x+5) / 30 x (x+3) (x+5)
Answer:
D. 2x^3(x-3)/5(x+3)
Step-by-step explanation:
when we simplify it.. we get 2x^3(x-3)/5(x+3).
Select all ratios equivalent to 4:16.
3:12
6:48
5:4
Answer
Step-by-step explanation:
neither
brainlest
write the domain and rang of h using interval notation
We can write the domain and range in interval notation, which uses values within brackets to describe a set of numbers. In interval notation, we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded.
H e l p this is confusing
Answer:
The answer would be 780 miles
Step-by-step explanation:
The reason that that's the answer because since it says that they will average about 65 miles per hour on a 12 hour trip, you have to multiply 65 time 12, which is 780 miles, so
65 miles x 12 hours = 780 miles :)
Hope this helped!
Please answer the 4 questions :)
Step-by-step explanation:
The lines or plains which contain R:
1. Parallel to SP ⇒ segment RQ2. Perpendicular to SP ⇒ segment RS3. Skew to SP ⇒ segment RK4. Plane parallel to KLM ⇒ plane RSPWhat is the simplest fraction form of 0.030303
Step-by-step explanation:
1/33
1/3 is 0.33333....
1/30 is 0.03333...
1/300 is 0.003333...
and so on.
that was in the initial thought.
in oder to interrupt the 1/3=0.3333... series and interlace the 3s with 0s, I had to divide by 10, but also by further 10% (in total 11) of that to create a 0.0303 sequence.
I initially thought that I would have to add then 10% of that and then 10% if that, but no, the one step is sufficient.
so, it turned out to be 1/3 / 11 = 1/33.
Please help with this thanks
Answer:
1. 7
2. 5
3. 6
4. Start at the number 34. count back 1 at a time 28 times. then you will get your answer to 34-28 which is 6.
Step-by-step explanation:
have a great day! feel free to mark as brainliest. :)
2. What is the sum of 5t + 9 - 3t + 4)?
Step-by-step explanation:
5t + 9 - 3t + 4
2t + 13
hope it's helpful
How many pounds are in 1 1/2 pounds and 8 ounces? There are _____ pounds in 1 1/2 pounds and 8 ounces.
Answer:
Hope this helps
Step-by-step explanation:
Since 16 ounces equal 1 pound, we’ll add 16 + 16, which is 32 ounces. For one half of a pound, simply divide the amount of ounces in a pound (16) by half. 16 divided by 2 is 8, so in total your answer would be 40 ounces in 2 1/2 pounds.
simple math question!!!
There are 25 boxes and 15 of them are shaded.
15/25 = 0.6 = 60%
Answer:
15%
Step-by-step explanation:
Because 5 x 3 = 15%. So the answer is 15%
Find the solution set of the inequality
14−3x<−1.
If right will mark Brainlyest!
Answer:
x > 5
Step-by-step explanation:
14 -14 - 3 x < -1 -14
-3 x < -15
-3 x / -3 < -15 / -3
x > 5
What is the slope of the line that passes through the points
(−5,−7) and (4,−1)? Write your answer in simplest form.
9514 1404 393
Answer:
2/3
Step-by-step explanation:
The slope is found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-1 -(-7))/(4 -(-5)) = 6/9 = 2/3
The slope of the line is 2/3.
_____
The attached graph shows the equation of the line in point-slope form.
A man earned £6500 for the month. He paid 2/5 in tax . How much did he have left to spend?
Answer:
$2600
Step-by-step explanation:
Im not too fond of the conversion of Pounds and USD. But if it were USD 2/5 of the amount would be $2600
Please help with give branniest!!
(11/44)^ 3 = 11^3/14^3 = 1331/2744 = 0.48505
Round the answer as needed.
On the previous screen, you said the daily recommended amount of vitamin C is `80` milligrams. Yosef drank `4` ounces of orange juice. What percent of the daily recommended amount of vitamin C is this?A `16`-ounce bottle of orange juice contains `200` milligrams of vitamin C, which is `250\%` of the daily recommended amount (for adults).
Answer: 62.5%
Step-by-step explanation:
We can just divide 250% by 4 since Yosef drank 1/4th of the bottle.
250 / 4 = 62.5
Answer:
62.5
Step-by-step explanation:
19 increased by twice joses savings
Answer:
19 x 2 38 is ur answer to the problem
5.prove for kite abcd above that BD bisects both ABC and ADC
6.Given from what we now know from 5, prove that M must be the midpoint of AC
The kite is a quadrilateral that has two pairs of equal adjacent sides and
one of equal opposite angles.
5. The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex] [tex]{}[/tex] Given
[tex]\overline{AB}[/tex] ≅ [tex]\overline{BC}[/tex] [tex]{}[/tex] Definition of congruency
[tex]\overline{AD}[/tex] = [tex]\overline{CD}[/tex] [tex]{}[/tex] Given
[tex]\overline{AD}[/tex] ≅ [tex]\overline{CD}[/tex] [tex]{}[/tex] Definition of congruency
[tex]\overline{BD}[/tex] ≅ [tex]\overline{BD}[/tex] [tex]{}[/tex] By reflexive property
ΔABD ≅ ΔBDC [tex]{}[/tex] By Side-Side-Side, SSS congruency postulate
∠ABC = ∠ABD + ∠CBD [tex]{}[/tex] Angle addition postulate
∠ABD ≅ ∠CBD [tex]{}[/tex] CPCTC
∠ABD = ∠CBD [tex]{}[/tex] Definition of congruency
[tex]\overline{BD}[/tex] is a bisector of ∠ABC [tex]{}[/tex] Definition of angle bisector
∠ADC = ∠ABD + ∠CBD [tex]{}[/tex] Angle addition postulate
∠ABD ≅ ∠CBD [tex]{}[/tex] CPCTC
∠ABD = ∠CBD [tex]{}[/tex] Definition of congruency
Therefore;
[tex]\overline{BD}[/tex] is a bisector of ∠ADC [tex]{}[/tex] Definition of angle bisector
CPCTC is the acronym for Congruent Parts of Congruent Triangles are Congruent
6. The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
∠ABD ≅ ∠CBD [tex]{}[/tex] CPCTC (question 5)
[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex] [tex]{}[/tex] Given
[tex]\overline{BM}[/tex] ≅ [tex]\overline{BM}[/tex] [tex]{}[/tex] Reflexive property
ΔABM ≅ ΔCBM [tex]{}[/tex] According to Side-Angle-Side, SAS congruency rule
[tex]\overline{AM}[/tex] ≅ [tex]\overline{CM}[/tex] [tex]{}[/tex] CPCTC
[tex]\overline{AM}[/tex] = [tex]\overline{CM}[/tex] [tex]{}[/tex] Definition of congruency
[tex]\overline{AC}[/tex] = [tex]\overline{AM}[/tex] + [tex]\overline{CM}[/tex] [tex]{}[/tex] Segment addition postulate
[tex]\overline{AC}[/tex] = [tex]\overline{AM}[/tex] + [tex]\overline{AM}[/tex] = 2·[tex]\overline{AM}[/tex] [tex]{}[/tex] Substitution property of equality
[tex]\overline{AM}[/tex] = 0.5·[tex]\overline{AC}[/tex] [tex]{}[/tex] Division property of equality
M divides [tex]\overline{AC}[/tex] to two [tex]{}[/tex] Definition
M is midpoint of [tex]\overline{AC}[/tex] [tex]{}[/tex] Definition of midpoint
Learn more here:
https://brainly.com/question/20644467
PLEASE HELP LOOK AT THE PIC BELOW
Answer:
The simplest answer is
[tex] \frac{16}{21} [/tex]
The reason how I got that is because to divide fractions, you have to turn them improper. Once you've done that, you then can multiply it by using the reciprocal of the second fraction. Once they are rearranged, multiply all the numerators by each other. do the same with the denominators and form a new fraction.
[tex] \sf \longmapsto1 \frac{1}{3 } \div 1\frac{3}{4} [/tex]
[tex]\sf \longmapsto \frac{4}{3} \div \frac{7}{4} [/tex]
[tex]\sf \longmapsto \frac{4}{3} \times \frac{4}{7} [/tex]
[tex]\sf \longmapsto \frac{4 \times 4}{3 \times 7} [/tex]
[tex]\sf \longmapsto \frac{16}{21} [/tex]
Therefore the answer is :
[tex]\sf \frac{16}{21} [/tex]
Evaluate the expression.
−12 ⋅ 1/3
Group of answer choices
4
-4
36
-36
Answer:
Option B. -4
Step-by-step explanation:
-12 x (1/3)
=> -12 ÷ 3
=> -4
Therefore, -4 is our answer.
Hoped this helped.
helppppppp pleaseeee again im sorry but i dont know any of itttttt.
Step-by-step explanation:
sqrt(5x)×(sqrt(8x²) - 2×sqrt(x)) =
sqrt(5x × 8x²) - 2×sqrt(5x × x) =
sqrt(40x) × x - 2x × sqrt(5) =
2x×sqrt(10x) - 2x×sqrt(5)
therefore, the last option is correct.