Answer:
f(x)=-2x+9 g(x)=-4x^2+5x-3Now, f o g (x) = f{g(x)} = f(4x^2+5x-3) = 2(4x^2+5x-3) + 9 = 8x^2+10x-6 + 9
Step-by-step explanation:
Find the measure of angle 1
HELP
Answer:
75°
Step-by-step explanation:
The chord- chord angle is half the sum of of the arcs intercepted by the angle and its vertical angle, then
∠ 1 = [tex]\frac{1}{2}[/tex] (110 + 40)° = 0.5 × 150° = 75°
PLEASE HURRY! i’ll give brainliest
Answer:
1
Step-by-step explanation:
PLZZZZ HELP AMEDIENTLY
A researcher places a radio advertisement offering $32 in exchange for participation in a short study. The researcher accepts the first nine people who respond to the advertisement. Which of the following statements is true about the sample?
It is a valid sample because the first nine people were selected to participate.
It is not a valid sample because it is not a random sample of the population.
It is a valid sample because money was offered to participants.
It is not a valid sample because it is only a short study.
Answer:
I am not sure if I am right, but in my opinion, it is a valid sample, since they are participating and getting paid, so I would personally go for the third option, but the decision is on you.
Which triangle makes this statement true?
Answer:
A.
Step-by-step explanation:
i pretty sure
Joseph runs 2 miles on Monday. Each day after that, he runs the same 1 1/3 mile route every
morning. His goal is to run at least 6 miles by the end of the week.
Which inequality represents the least number of days after Monday that Joseph needs to run
to reach his goal? *
Answer:
2 + 1 1/3x ≥ 6
x ≥ 3 days
Step-by-step explanation:
Monday = 2 miles
Other days = 1 1/3 miles
x = least number of days after Monday that Joseph needs to run
to reach his goal
Total miles = 6 miles
The inequality is
2 + 1 1/3x ≥ 6
1 1/3x ≥ 6 - 2
1 1/3x ≥ 4
4/3x ≥ 4
Divide both sides by 4/3
4/3x ÷ 4/3 ≥ 4 ÷ 4/3
x ≥ 4 × 3/4
x ≥ 3 days
A company produces packets of soap powder labeled "Giant size 32 Ounces." The actual weight of soap powder in a box has a normal distribution with a mean of 33 oz. And a standard deviation of 0.8 oz. The proportion of packets that are underweight (i.E. Weight less than 32 oz.) are
Answer:
0.1057
Step-by-step explanation:
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score = 32 oz
μ is the population mean = 33 oz
σ is the population standard deviation = 0.8oz
For x < 32 oz
z = 32 - 33/0.8
z = -1.25
Probability value from Z-Table:
P(x<32) = 0.10565
Approximately = 0.1057
Therefore, the proportion of packets that are underweight (i.e. Weight less than 32 oz.) are 0.1057.
Ms. Benton drew a right angle and split it into 2 angles. one of the labels inside was labeled 5x and the other angle was labeled 4x. what does x equal?
Answer choices:
5°
10°
15°
20°
please help
Answer:
B-10⁰
Step-by-step explanation:
5 x 10 is 50, 4 x 10 is 40, add those and you get 90⁰
Is knowing the coordinates of the vertex of a parabola enough to determine the domain and range? a. No: we would have no information about the domain. c. Yes: if the vertex is at (m,n), then the domain is all reals and the range is y ≤ n. b. No: we would need to know if the vertex is a minimum or a maximum. d. Yes: if the vertex is at (m,n), then the domain is all reals and the range is y ≥ n.
Answer:
The answer would have to be B
Step-by-step explanation:
explains itself
Answer:it’s B
Step-by-step explanation:
Type the missing number that makes these fractions equal: 4/?=8/14
Answer:
4/7 = 8/14
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
[tex]\frac{4}{x} =\frac{8}{14} \\[/tex]
cross multiply
8x = 14 x 4
8x = 56
x = 7
7x-5y=15
solve for y, please help
Answer:
7x-15/5
Step-by-step explanation:
Given :-
A linear equation in two variable is given to us . That is 7x - 5y = 15.And , we need to solve for y in terms of x . So taking the given equation ,
[tex]:\implies[/tex] 7x - 5y = 15
[tex]:\implies[/tex] -5y = 15 - 7x
[tex]:\implies[/tex] 5y = 7x - 15
[tex]:\implies[/tex] y = ( 7x - 15)/5
Hence the required answer is 7x-15/5.Write the equation of this line from the table provided.
SOMEONE PLEASE HELP ASAP I WILL GIVE YOU BRAINLIEST!!!
Answer:
y=2x-1
Step-by-step explanation:
If you are supposed to write the equation in slope-intercept format, (y=mx+b), then y=2x-1 would be the answer. 2 is the slope(m), and -1 is the y-intercept(b). I hope thus helped :).
Triangle PQR is similar to triangle DEF as shown.*
A.
B.
D.
C.
it takes luis 4.5 minutes to read 3 pages. how long will it take him to read 32 pages?
Answer:
48 minutes
Step-by-step explanation:
4.5/3 = 1.5
1.5 x 32 = 48
write the equation of the circle in standard form: Center (7,0) R=1
Answer:
[tex](x-7)^2+y^2=1[/tex]
Step-by-step explanation:
Hi there!
Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at (h,k) and the radius is r
1) Plug in the given center (7,0)
[tex](x-7)^2+(y-0)^2=r^2\\(x-7)^2+y^2=r^2[/tex]
2) Plug in the radius (1)
[tex](x-7)^2+y^2=1^2\\(x-7)^2+y^2=1[/tex]
I hope this helps!
is -7 less the -8
is -8 less then or equal to -8
!!!!NEED HELP ASAP!!!! NO LINKS OR REPORT
Answer:
x = -11 5/17
Step-by-step explanation:
3x + 2y = 12
2x - 3y = -57
5x + y = -45
y = -5x - 45
2x - 3 (-5x - 45) = -57
2x + 15x + 135 = -57
17x + 135 = -57
17x = -192
x = -11 5/17
tep Looking at the powers of 3 shown, it is clear that each power may be found by multiplying the previous power by 3. Or you can also see that each power may be found by dividing the power after it by 3. Using this pattern, what must 31 equal?
Answer:
56-770-=76880-87760-7765676r[790-0698--978644870
Step-by-step explanation:
lol
A spaceship traveled 81 billion miles. In scientific notation that is _____ miles.
8.1 × 10 10
8.1 × 10 -9
8.1 × 10 9
8.1 × 10 -10
plz help it's being timed
Answer:
A (8.1 x 10^10)
Step-by-step explanation:
1. 1 billion is 1,000,000,000 or 10^9
2. 81 Billion should be 81 x 10^9, but the correct notation should always show a single digit number, so you need to also divide 81 per 10
3. Thus, the answer is 8.1 x 10^10
Answer:
8.1 × 10^10
:)
heyy! i’ll give brainliest please help.
Answer: the first one :-)
Step-by-step explanation:
Answer: A,
Step-by-step explanation:
they aren’t talking about one day, so that excludes b anc c, and they aren’t talking about predicting weather, so it’s not d, and has to be A
What is the length of the missing side of the triangle? The figure is not drawn to scale.
15
9
08
06
O 24
O 12
Answer:
Step-by-step explanation:
add all the numbers together to get your answer and divide it by two.
Answer:
Hello! answer: 12
Step-by-step explanation:
Assuming this is the Pythagorean theorem we would usually solve for c but c is already found so we have to work backwards so... 15 × 15 = 225
9 × 9 = 81 225 - 81 = 144 √144 = 12 therefore 12 is the answer Hope that helps!
Jamal's friends toss 12 balls to him at the same time. Three balls are red, 3 are green, 3 are blue, and 3 are white. Jamal manages to catch 5 of the balls.
What is the probability that he catches 2 red balls and 1 ball of each of the other colors?
Answer:
81/792 or 9/88 or 10.2%
Step-by-step explanation:
Possibility: nCr(12,5) = 792
Red: nCr(3,2) = 3
Blue, Green, White: nCr(3,1) = 3
3 * 3 * 3 * 3 = 81
81/792 simplified is 9/88 percentage is 10.22%
The probability that Jamal will catch 2 red balls and 1 ball of each of the other colors is 0.1025.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lies in the close interval of 0 and 1 [0,1].
The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.
The total numbers of balls are 12.
Each color has 3 balls.
If total 12 balls are tossed, the number of ways of catching 5 of them is,
¹²C₅ = 792
The number of ways of catching 2 red balls out of 3 is ³C₂ = 3
The number of ways of catching 1 green ball out of 3 is ³C₁ = 3
The number of ways of catching 1 blue ball out of 3 is ³C₁ = 3
The number of ways of catching 1 white ball out of 3 is ³C₁ = 3
Thus, the probability as per the question is given as follows,
(3 × 3 × 3 × 3)/792
= 81/792
= 0.1025
Hence, the probability of catching 2 red balls and 1 ball of each of the other colors is 0.1025.
To know more about probability click on,
https://brainly.com/question/11234923
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If tan0 = 3/4, find sin0
Answer:
b
Step-by-step explanation:
Answer:
[tex]\text{b. }\sin \theta =\frac{3}{5}[/tex]
Step-by-step explanation:
In a right triangle only, the tangent of an angle is equal to its opposite side divided by its adjacent side. If [tex]\tan \theta =\frac{3}{4}[/tex] as given in the problem, then the opposite side of angle theta is 3 and its adjacent side is 4. Thus, the hypotenuse of the triangle must be [tex]h=\sqrt{4^2+3^2}=\sqrt{25}=5[/tex].
The sine of an angle in a right triangle is equal to its opposite side divided by its hypotenuse. Therefore, [tex]\sin \theta =\frac{3}{5}[/tex] (o/h).
which equation can be used to solve for x in the following diagram ?
The curve
[tex]y = \sqrt{x - 3} [/tex]
has a tangent with gradient
[tex] \frac{1}{2} [/tex]
at point N.
Find the coordinates of N.
Answer:
Point N(4, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)FunctionsFunction NotationTerms/CoefficientsAnything to the 0th power is 1Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex] Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \sqrt{x - 3}[/tex]
[tex]\displaystyle y' = \frac{1}{2}[/tex]
Step 2: Differentiate
[Function] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y = (x - 3)^{\frac{1}{2}}[/tex]Chain Rule: [tex]\displaystyle y' = \frac{d}{dx}[(x - 3)^{\frac{1}{2}}] \cdot \frac{d}{dx}[x - 3][/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{\frac{1}{2} - 1} \cdot (1 \cdot x^{1 - 1} - 0)[/tex]Simplify: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}} \cdot 1[/tex]Multiply: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = \frac{1}{2(x - 3)^{\frac{1}{2}}}[/tex][Derivative] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y' = \frac{1}{2\sqrt{x - 3}}[/tex]Step 3: Solve
Find coordinates
x-coordinate
Substitute in y' [Derivative]: [tex]\displaystyle \frac{1}{2} = \frac{1}{2\sqrt{x - 3}}[/tex][Multiplication Property of Equality] Multiply 2 on both sides: [tex]\displaystyle 1 = \frac{1}{\sqrt{x - 3}}[/tex][Multiplication Property of Equality] Multiply √(x - 3) on both sides: [tex]\displaystyle \sqrt{x - 3} = 1[/tex][Equality Property] Square both sides: [tex]\displaystyle x - 3 = 1[/tex][Addition Property of Equality] Add 3 on both sides: [tex]\displaystyle x = 4[/tex]y-coordinate
Substitute in x [Function]: [tex]\displaystyle y = \sqrt{4 - 3}[/tex][√Radical] Subtract: [tex]\displaystyle y = \sqrt{1}[/tex][√Radical] Evaluate: [tex]\displaystyle y = 1[/tex]∴ Coordinates of Point N is (4, 1).
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
HELP ME IM STUCK PLEASE QUICK
Answer:
C) 24>x
Step-by-step explanation:
The inequality is just turned around. 24>x is thw same thing as x<24.
Hope this helped :)
Answer:
D
Step-by-step explanation:
x+3≥12
<=> x≥8
so 8 is less than x
x is less than 24 means 24>8 but in this case we must follow a model so x is less than 24 can be write 24≥x (read x is less than 24 or is equal to 24)
A hiking trail is 2 3/5 miles long. Lucy walks 1/2 of the trail before stopping for a water break. How many miles does Lucy walk before stopping?
Answer:
look at the picture I have sent
Answer:
1.3
Step-by-step explanation:
First you simplify 2 3/5, which can be 2.6. You will find half of it so 2.6 divided by 2 equals 1.3. She traveled 1.3 miles or 1 3/10 miles before she stopped.
I will give brainiest
Answer:
there should be 4 points below the trend line
Step-by-step explanation:
4
Find the value of -8 - 12 - (-20).
24
-40
16
0
Answer:
it's = 0
you have to use the steps of maths
what does 5 out of 7 equal to??
Answer:
5 out of seven is 71%
THank Go oGle
simplify -5 1/4 - (-7 1/2) please
also ignore my tabs pls
Answer: 1/8
Step-by-step explanation:
1/2 x 1/4 = 1 x 1/2 x 4