Answer:
45
Explanation:
Given:
f(x)= 6x+9
g(x)=3x
Go from right to left in such function questions
⇒ f(g(2))
⇒ f(3(2))
⇒ f(6)
⇒ 6(6) +9
⇒ 36 + 9
⇒ 45
Answer:
f(g(2)) = 45
Step-by-step explanation:
f(x) = 6x + 9g(x) = 3xFinding g(2)
g(2) = 3(2)g(2) = 6Solving f(g(2))
f(g(2))f(6)f(6) = 6(6) + 9f(6) = 36 + 9f(6) = 45f(g(2)) = 45Thang decided to borrow $7000 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of 6%. How much interest will Thang pay?
Answer:
$420
Step-by-step explanation:
Find the y-intercept of the line: 2x + 4y = 8
Question 2 options:
(2,4)
(0,2)
(4,0)
(4,2)
Answer:
(4, 0)
Step-by-step explanation:
2x + 4y = 8
x-intercept when y = 0
2x = 8
x = 4
so x-intercept (4, 0)
:) hole this helps
What value of k is the expression x^4+kx^2+36 a perfect square?
[tex]\text{ The discriminant is 0 if the quadratic expression is a perfect square.}\\\\~~~~~b^2 -4ac =0\\\\\implies k^2-4\cdot 1 \cdot 36 = 0\\ \\\implies k^2 - 144 = 0\\\\\implies k^2 = 144\\\\\implies k = \pm\sqrt{144}\\\\\implies k= \pm12\\\\\text{Hence}~ k=12 ~\text{and}~ k=-12.[/tex]
Find the standard deviation, correct to 2 decimal places.
Data Set: 10, 12, 12, 16, 24
Mean 14.8
Answer:
5
Step-by-step explanation:
Step 1: Mean
10+12+12+16+24
=74/5
=14.8
Step 2: Standard Deviation
Formula----- square root of varieance
23.04+7.84+7.84+1.44+84.64/5
124.8/5
24.96
[tex]\sqrt{24.96}[/tex]
4.996
5
I need help, i cant use calculator
Answer: True.
Step-by-step explanation:
This inequality is ALWAYS true.
Hope this helps!
A bottle of vitamins has 90 capsules in it. Each capsule has 450 milligrams of the supplement. What is the total number of grams of the supplement in one capsule?
The total number of grams of the supplement in one capsule will be 0.45 grams.
What is unit conversion?The measurement of any quanity is expressed by its unit. Now the units for the same matter can be expressed in different ways for higher quanity or lower quanity so we need to convert the units for the calculations.
Here in the question
Each capsule has 450 miligrams of supplement.
Total grams in one capsule will be calculated by unit conversion
[tex]\rm 1 \ gram=1000\ miligram\\\\\\1 \ Mg=\dfrac{1}{1000}\ gram\\\\\\450\ Mg=\dfrac{450}{1000}\ gram\\\\\\450 Mg=0.45\ gram[/tex]
Hence the total number of grams of the supplement in one capsule will be 0.45 grams.
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i’ll give brainlist
Answer:
option B
option C
4:40pm
2:45pm
option d
3:30
Step-by-step explanation:
please consider as brainlest que.
find the largest prime factor of 2820
Answer:
47
Step-by-step explanation:
2820 = 2 * 2 * 3 * 5 * 47
Prime factors:
2, 3, 5, 47
Largest prime factor:
47
Step-by-step explanation:
The largest prime factors of 2820 is 2*2*3*5*47 is the answer
The price of a computer is marked down from $550 to $484 for a sale. The
following week, the computer is marked down again by the same percent as
during the week before. How much lower than the original price is the price after
the second markdown?
A $425.92
C
$124.08
B $132.00
D
$58.08
Answer:
A) $425.92
Step-by-step explanation:
The new price percentage with relation to the previous can be determined by dividing [tex]p = \frac{484}{550}[/tex]. Once we calculate p, we can multiply it by 484, which is equivalent to applying the same discount, thus [tex]\frac{484}{550}484=425.92[/tex]
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!
Answer:
i odnt know use ur fingers or a calculator
Step-by-step explanation:
What is the equation of the directrix to the right of the center of = 1? express the answer in decimal format. x =
The equation of the directrix to the right of the center is equal to 2.8.
Given the following data:
(x - 1)²/9 - (y - 2)²/16 = 1.
How to determine the equation of the directrix?Mathematically, the standard equation of the directrix lines for a hyperbola of the form (x - h)²/a² - (y - k)²/b² = 1 is given by:
x = h ± a²/√(a² + b²)
Where:
a² = 9.b² = 16.h = 1.Substituting the given parameters into the standard equation, we have;
x = 1 ± a²/√(a² + b²)
x = 1 ± 9/√(9 + 16)
x = 1 ± 9/√25
x = 1 ± 9/5
x = 1 + 9/5
x = 1 + 1.8
x = 2.8.
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Answer: The answer is 2.8
Step-by-step explanation:
Jim has 1/3 of a box of cereal. He eats 1/3 of the remaining cereal. What fraction of the original whole box of cereal did Jim eat?
4. Find the area of the circle. Round to the nearest tenth. Us 34 in. can anyone help/answer?
Answer:
907.9 in²
Step-by-step explanation:
D = 2r
r = D/2
r = 34/2
r = 17 in
A = πr²
A = π(17)²
A = 289π
A ≈ 907.9 in²
Flaming bbq restaurant makes a dipping sauce
Help me find X and explain the process please.
Answer:
x=23
Step-by-step explanation:
10*18=9*(x-3)
180=9x-27
207=9x
x=23
I may be wrong its been a long time doing this problem.
12. If Aryial can read 3 pages of his book in 6 minutes. How many pages can he read in
Se an hour at the current rate?
Answer:
30 Pages
Step-by-step explanation:
Make a ratio:
[tex]\frac{3}{6} =\frac{x}{60}[/tex]
Cross multiply:
180=6x
Divide both sides by 6:
x=30
Answer:
30
Step-by-step explanation:
divide 60 by 6 and you get 10. Then take 10 and times it by 3
a train traveled 162 miles in 3hours. At that rate, how many miles will the train travel in 1/3 hour?
Answer:
18 miles
Step-by-step explanation:
162 ÷ 3 × ⅓ = 18 miles
Hope this helps =)
Which of the following points lie in the solution set to the following system of inequalities?
y < −3x + 3
y < x + 2
(1, −5)
(1, 5)
(5, 1)
(−1, 5)
Answer:
(1, −5)
Step-by-step explanation:
Because in this case it is less than and the -3x would be cancelled out and I had this question and that correct answer was A(1,-5).
Hope this helps:)
Answer:
the answer is (1,-5)
Step-by-step explanation:
plug in the x and y values and see if they are true
y<-3x+3
(-5)<-3(1)+3
-5<-3+3
-5<0 is true
y<x+2
(-5)<(1)+2
-5<1+2
-5< 3 is true also
In △ABC, ∠B is a right angle, AB=30, and sec A=5/3. Find the value csc C in fraction and in decimal form.
Answer:
csc C = 5/3 = 1. (6)
Step-by-step explanation:
Given:
∠B = 90° is a right angle
AB = 30
We know that:
sec A = 5/3 = 1/ cos A = 1/ ( adjacent side/hypothenuse) =
hypothenuse/ adjacent side to angle A
csc C = 1/ sin C = 1/ sinC = 1/ (opposite side /hypothenuse) =
hypothenuse/ opposite side to angle C
Note that :
adjacent side to angle A is the same as opposite side to angle C
Therefore sec A = csc C = 5/3 ( fraction form) = 1.(6) (decimal form)
PLS HELP ASAP! (show work)
Solve the compound inequality.
3 < 2x − 1 < 9
Answer: x = 2
Step-by-step explanation:
Which equation can be used to solve for the measure of angle abc? tan(x) = startfraction 2.4 over 10 endfraction tan(x) = startfraction 10 over 2.4 endfraction sin(x) = startfraction 10 over 10.3 endfraction sin(x) = startfraction 10.3 over 10 endfraction
The equation can be used to solve for the measure of angle abc is sinx = 2.4/10.3
SOH CAH TOA identityThe identity is used to find the measure of sides and acute angles of a right triangle
From the diagram shown, <ABC is the reference abgle hence;
Opposite side = 2,4cm
Hypotenuse .=10.3cm
According to the identity
sin x = opp/hyp
sinx = 2.4/10.3
sinx = 0.233
x = 13.47 degrees
Hence the equation can be used to solve for the measure of angle abc is sinx = 2.4/10.3
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Answer: tan(x) = 2.4/10.3
Step-by-step explanation:
I saw the answers
please help! it’s select all that apply :)
Answer:
•The function models exponential decay
•The rate of decay is 75%
•350 represents the amount of money Alicia had in the budget at the beginning of the summer
•Alicia spent $262.50 during the first week of summer
When computing a correlation coefficient, if you have 55 degrees of freedom, your sample size must be ______. Group of answer choices 56 57 54 58
Considering that you have 55 degrees of freedom, your sample size must be of 56.
What is the amount of a degrees of freedom in a sample?It is given by one less than the sample size.
In this problem, you have 55 degrees of freedom, hence:
n - 1 = 55
n = 56.
Your sample size must be of 56.
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A new car is purchased for $ 33 , 000 $33,000 and over time its value depreciates by one half every 7 years. What is the value of the car 4 years after it was purchased, to the nearest hundred dollars?
The equation of the value of the car over a year is 2357.14x + y = 33,000. Then the value of the car 4 years after it was purchased is $23571.43.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A new car is purchased for $33,000 and overtime its value depreciates by one half every 7 years.
Then the value of the car is given by the linear equation. Then the line is passing through (0, $33,000) and (7, $16,500). Then we have
Let y be the value of the car and x be the number of years. Then we have
[tex]\rm y \ - \ 33000 \ \ = -\dfrac{16,500}{7} (x-0)\\\\y+2357.14x = 33000[/tex]
Then the value of the car 4 years after it was purchased, to the nearest hundred dollars will be
[tex]\begin{aligned} \rm y +2,357.14 \times 4 &= 33,000\\\\\rm y + 9,428.57 &= 33,000\\\\\rm y &= 23,571.43 \end{aligned}[/tex]
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A book bag was bought on a 45% off sale for $65.87. What was the original price rounded to the nearest cent.
Answer: 119.76 approx to 119.8
Step-by-step explanation:
55 % = 65.87
1% = 65.87/55
100% = 65.87/55 × 100/1
Write an equation and solve it. Anything goes as long as you address the following points:
a. The equation must start with an 'x' variable in an exponent. B. The equation must require logarithms to solve. C. In the solution you must use the power rule, the product rule and the quotient rule at least once each. D. Explain each step as you solve; which rules are you using and why?
e. What challenges did you face as you were writing your problem? Did you run into any dead ends?
Im having trouble thinking up an equation that uses all three rules. The power rule, the product rule, and the quotient rule. I can create one that uses 2 but i cant quiet imagin 3. Im probably just not thinking about it in the right way but any help would be appreciated.
The equation is 4^{3x} is equal to 8^{1/x} 2^{x+3} and the values of x are x is equal to (3+√69)/(10) or x is equal to (3-√69)/(10)
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]
where 'a' is a constant and a>1
After following the rules to model the equation.
The equation becomes:
[tex]\rm 4^3^x= 8^{1/x}\times 2^{x+3}[/tex]
After solving, we get:
[tex]2^{6x}= 2^{3/x \ +x+3}[/tex] (power rule)
Taking log on both sides with base 2
[tex]\rm log_2(2^{6x})= log_2(2^{3/x \ +x+3})[/tex]
After solving, we will get a quadratic equation:
[tex]\rm 5x^2-3x-3 = 0[/tex]
After using quadratic formula, we will get,
[tex]\rm x=\dfrac{3+\sqrt{69}}{10}[/tex] or
[tex]\rm x=\dfrac{3-\sqrt{69}}{10}[/tex]
Thus, the equation is 4^{3x} is equal to 8^{1/x} 2^{x+3} and the values of x are x is equal to (3+√69)/(10) or x is equal to (3-√69)/(10)
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Lauren has 12 boxes of rocks. There are 60 rocks total. How many rocks are in each box?
Answer:5
Step-by-step explanation: Divide 60 By 12
Answer:
the answer is 5 rocks.
Step-by-step explanation:
Sinice there are 12 boxes and has 60 rocks. So that means we will divide the two to get 5bwhich is in each box.
Need help! Its For Khan Academny
Answer:
Your 3 answers are
A) y=0.25xC) GraphE) TableStep-by-step explanation:
If you were to graph them and compare the original graph they are exactly the same.
A) y=0.25x is the same thing as y= 1/4 * x
slope m is 1/4 on the original graph and given decimal form.
C) Is the same graph but the point given is at (4,1)
E) is the points between 6<x<8 and 1.5<y<2 as the original graph.
Find the approximate value of g(6) for the function below.
g(x) = e^x - 139
A. 403.43
B. -8.61
C. 4.98
D. 264.43
Answer:
The answer is letter B-8.61Step-by-step explanation:
Have a great day✧◝(⁰▿⁰)◜✧
A. 403.43
I hope it's help
Tell me the answer please 6*5=
Answer:
6*5=30
Step-by-step explanation:
Answer: 30
Step-by-step explanation: it means multiply 6 by 5