The transformed function in the graph of the right is:
g(x) = 3*(2^x)
Which one is equal to g(x)?We can see that f(x) is the function:
f(x) = 2^x
And g(x) is a transformation of that function. It has the same horizontal asymptote, so there is no vertical shift. Then options A and B can be discarded. We ratter have a vertical dilation:
g(x) = K*(2^x)
Now we can see that the y-intercept of g(x) is at y = 3, then we can write:
3 = K*(2^0)
3 = K*1
Then g(x) = 3*(2^x)
The correct option is C.
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Prove: 45= m/ZXY
Complete the proof. Number your reasons in the textbox below.
Step-by-step explanation:
since the two angles from a straight line, they make a linear pair and linear pairs are supplementery. by the angle addition postulate, you can determine that the two angles sum to 180. substituting the one angle mearsure that you are guven and using a bit of simple arithmetic and the subtraction property of equality, you can determine that the other angle,angle YXZ, is 45 degrees. I hope this is helpful
Live wants to have his birthday party at the bowling alley with a few of his friends but he must be a less than $80 the bowling alley charge a flat fee of $45 for a private party +5.50 per person
Answer: 45+16.5=61.5
Step-by-step explanation:
if there is 2 friends going with him it would be 45+16.5=61.5
so that is how much he spends in there is more friends ill give you the other answer if there is more friends
Circle A has a diameter of 9 inches, a circumference of 28.26 inches, and an area of 63.585 square inches. The diameter of circle B is 5 inches, the circumference is 15.70 inches, and the area is 19.625 square inches..
Part A: Using the formula for circumference, solve for the value of pi for each circle. (4 points)
Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)
Part C: What observation can you make about the value of pi for circles A and B? (2 points)
Help is needed
it's b it's b it's b
Step-by-step explanation:
I know I know
Step-by-step explanation:
as a big spoiler : pi is an universal constant. it is the same for every circle, every round object, for circumference, areas, surfaces and volumes.
the formula for a circle circumference :
2×pi×r
the radius is half of the diameter, or the diameter is twice the radius.
so, we have for circle A
pi×9 = 28.26
pi = 28.26/9 = 3.14
and for circle B
pi×5 = 15.7
pi = 15.7/5 = 3.14
the formula for the circle area is
pi×r²
so, for circle A
pi×(9/2)² = 63.585
pi×81/4 = 63.585
pi×81 = 254.34
pi = 254.34/81 = 3.14
for circle B we get
pi×(5/2)² = 19.625
pi×25/4 = 19.625
pi×25 = 78.5
pi = 78.5/25 = 3.14
as mentioned, pi is always the same. it is a natural, universal constant.
need help now, i will. make u brainly
Maren is a computer software engineer. Today, she worked from 6 am until noon. Then she ate lunch from noon until 1 p.m. After lunch, she worked another 4 hours. Noi counting lunch, how many hours did Maren work today?
A 10 hours
B 11 hours
C 12 hours
D 9 hours
PLZ HELP WILL GIVE BRAINLIEST
A company wants to provide better customer service to all of its 2000 clients. The company needs to create a sample of clients to survey.
How should the company select its sample of clients? Select two that apply.
The company should choose the first 50 clients that volunteer to take the survey.
The company should have a computer randomly generate a list of 200 clients to survey.
The company should survey every 5th client that makes an appointment.
Every employee in the company should recommend 1 client to survey.
Answer:
the company should survey every 5th client that makes an appointment.
the company should have a computer randomly generate a list of 200 clients to survey.
2x-5y=20
What is y and what is x
Answer:
x=10 and y=4
Im not sure if this is correct but I looked it up and it said it was right
Answer:
x = 5/2y + 10y = 2/5x - 4(if you're looking for intercepts then: x = 10, y = -4)
Step-by-step explanation:
\(\sf{2x - 5y = 20\)
\(\sf{Finding~x:\)
\(2x - 5y = 20\)
\(+ 5y = + 5y\)
↪ 2x = 5y + 20
\(\frac{2x}{2} = \frac{5y}{2} + \frac{20}{2}\)
x = 5/2y + 10\(\sf{Finding~y:}\)
\(2x - 5y = 20\)
\(-2x~ = ~~~~-2x\)
↪ -5y = -2x + 20
\(\frac{-5y}{-5} = \frac{-2x}{-5} + \frac{20}{-5}\)
y = 2/5x - 4--------------------
Hope this helps!
What is the solution of the system of equations?
x + 3y= -4
3x + 9y = –12
A. (-1,-1)
B. no solution
C. infinely many solutions
D. (1,3)
F={(-1, 2), (3, 2), (4,2), (0, 2)} Is Fa function and why/why not?
Answer:
yes it is a function A
Step-by-step explanation:
PLS HELP, I'LL GIVE YOU NITRO ON DISC0RD!!! Jose ran a concession stand last Saturday and made $79.80 from selling a total of 42 hot dogs and hamburgers. Each hot dog sold for $1.50 and each hamburger sold for $2.70. Which system of equations can be used to determine the number of hot dogs, x, and hamburgers, y, that were sold?
Answer:
1.50x + 2.70y - 84 = 79.80
Explanation: I REALLY don't know if this is right, but I hope I helped you out at least a little bit.
Answer:
x + y = 42
1.50x + 2.50y = $79.80
x = 28 hot dogs
y = 14 hamburgers
Step-by-step explanation:
x = hot dogs
y = hamburgers
Equation:
x + y = 42
1.50x + 2.50y = $79.80
I used Substitution
x = 42 - y
1.50(42 - y) + 2.50y = 79.80
63 - 1.50y + 2.70y = 79.80
63 + 1.2y = 79.80
Substract 63 from both sides
1.2y = 16.8
Divide 1.2 on both sides
y = 14
x + y = 42
x + 14 = 42
x = 28
y = 14
Don't know how to explain that well, I hope this helps.
Which of the following is the graph of f (x) = x²
Answer:
Step-by-step explanation:
Answer:
whichever one looks like a U opening upward. the bottom of the U should be at the point (0,0) where the x and y axis meet
Which ordered pair would form a proportional relationship with the point graphed below?
Answer:
C
Step-by-step explanation:
It is C because it has a proportional value through the diameter of the graph. With that you will also be able to figure this out by seeing that the light in between the graph is even. The numbers that the graph a line with are similar to the answer C.
i dnt understand this
Answer:
3017.54
Step-by-step explanation:
3.14 x radius(squared)
31 squared =961
3.14 x 961=
English 6: what is characteristics?
Characteristics: special quality or trait that distinguish a person, thing, or group from others.
can someone help me please? I keep getting the answer wrong
Answer:
15in2
Step-by-step explanation:
The formula for the area of a triangle is base times height divided by two.
c. probability that the mother in this sample had a premature baby given that the mother admitted to smoking
Probability that the mother in this sample had a premature baby given that the mother admitted to smoking is 50 percent.
What is probability?Likelihood is the part of science concerning mathematical depictions of how likely an occasion is to happen, or how likely it is that a suggestion is valid. The likelihood of an occasion is a number somewhere in the range of 0 and 1, where, generally talking, 0 demonstrates difficulty of the occasion and 1 shows conviction.
P (A) is the probability of an event “A”
n (A) is the number of favorable outcomes
n (S) is the total number of events in the sample space
The higher the likelihood of an occasion, the more probable it is that the occasion will happen. A straightforward model is the throwing of a fair coin. Since the coin is fair, the two results are both similarly likely; the likelihood of "heads" approaches the likelihood of "tails"; and since no different results are conceivable, the likelihood of by the same token "heads" or "tails" is 1/2.
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1.Which are the equation and solution for the sentence, "Anumber, n, divided by
four tenths equals 12?"
A. n ÷ 4 = 12; n = 36
B. 0.4n = 12; n = 30
C. n − 0.4 = 12; n = 12.4
D. n ÷ 0.4 = 12; n = 4.8
2.Janet has read all but the last 58 pages of a book. The book has a total of 125
pages. Which equation can you use to find how many pages (x) she has
already read?
A. 125 + x = 58
B. 125 − x = 58
C. 125 ÷ 58 = x
D. 58 − x = 125
3.Coach Whitcomb treated her soccer players to ice cream cones after they won
their game. She bought 12 cones and paid a total of $21.00. If she solves the
equation 12x = 21, she can find the price per ice cream cone. What does 1
cone cost?
A. $2.00
B. $1.75
C. $1.50
D. $1.25
Answer:
1) B/ 0.4n = 12; n = 30
2) B/ 125 – x = 58
3) B/ $1.75
Step-by-step explanation:
1) 0.4n = 12
n = 12 ÷ 0.4
n = 30
2) 125 – x = 58
– x = 58 – 125
– x = – 67 ( – & – will get cancelled)
x = 67
a) 125 + x = 58
x = 58 – 125
x = – 67 (pages won't be in negative)
c) 125 ÷ 58 = x
2.15 = x (wrong)
d) 58 – x = 125
– x = 125 – 58
– x = 67
x = 67 ÷ –1
x = – 67 ( pages won't be in negative)
3) 12x = 21
x = 21 ÷ 12
x = 1.75
The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 72 students, requires 3 chaperones, and costs $1,400 to rent. Each van can transport 9 students, requires chaperone, and costs $100 to rent. Since there are 720 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 720 students. Since only 45 parents have volunteered to serve as chaperones, the officers must plan to use at most 45 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs?
So the minimal transportation cost is $8,700, and it can be achieved by renting 6 buses and 27 vans.
Let's start by defining our variables. Let b be the number of buses and v be the number of vans to be rented. We want to minimize the transportation costs, so our objective function is:
C = 1400b + 100v
We also have two constraints:
The total number of students that can be transported cannot be less than 720:
72b + 9v ≥ 720
The total number of chaperones cannot be more than 45:
3b + v ≤ 45
Now we can solve for b and v. Let's solve the second constraint for v:
v ≤ 45 - 3b
Substituting this inequality into the first constraint, we get:
72b + 9(45 - 3b) ≥ 720
Simplifying and solving for b, we get:
b ≥ 6
So we know that we need to rent at least 6 buses. Since we cannot rent a fraction of a bus or van, b must be an integer. Let's try b = 6 and see if it satisfies the second constraint:
3(6) + v ≤ 45
v ≤ 27
Since v must also be an integer, the largest integer that satisfies this inequality is v = 27. Now we can calculate the total cost:
C = 1400(6) + 100(27) = 8700
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Find the simple interest.
Principal
$160
Rate
5.5%
Time
4 years
The simple interest is
(Simplify your answer.)
Answer:
$35.20
Step-by-step explanation:
S.I. = (P×R×T)/100
=(160×5.5×4) /100
= (640×55) / 100×10
= (64×55) / 100
= 3520 / 100
= $ 35.20
brainliest plz
Find the total surface area in square units of the figure below by creating a net.
What is the present value of $12,500 to be received 10 year from today? Assume a discount rate of 8% compounded annually and round to the nearest $10.
a. $17,010
b. $9,210
c. $11, 574
d. $5,790
The present value of $12,500 to be received 10 years from today at a discount rate of 8% compounded annually and rounded to the nearest $10 is $5,790. Hence, option D is correct.
Present value (PV) is the value of an expected cash flow to be received in the future at a specific interest rate. The following are some of the procedures for determining the present value of an investment:
- determine the expected future cash flows from the investment
- select the interest rate to use to convert the future cash flows to present value
- calculate the present value of the cash flows.
In order to calculate the present value of $12,500 to be received in 10 years from today, we need to use the formula: PV= FV / (1+r)^n where FV is the future value, r is the annual interest rate, and n is the number of years in the future.
Now, let us plug in the values to calculate the present value of $12,500.
PV= 12,500 / (1+0.08)^10
PV= 12,500 / 2.158925
PV= $5,790 (rounded to the nearest $10)
Hence, option D is correct.
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How do I turn a decimal into a fraction, and how do I turn a fraction into a decimal??
To turn a decimal into a fraction, follow these steps:
1: Identify the place value of the decimal. For example, 0.25 has two decimal places.
2: Write the decimal as a fraction with the decimal part as the numerator and a denominator based on the place value. For example, 0.25 can be written as 25/100.
3: Simplify the fraction if possible. In this case, both the numerator and denominator can be divided by 25 to simplify the fraction to 1/4.
To turn a fraction into a decimal, follow these steps:
1: Divide the numerator of the fraction by the denominator. For example, for the fraction 3/4, divide 3 by 4.
2: The resulting decimal can be rounded to the desired number of decimal places or expressed as a decimal fraction. For instance, 3 divided by 4 equals 0.75.
3: If you want to express the fraction as a decimal fraction, simply write the decimal as a fraction, with the decimal places as the numerator and a power of 10 as the denominator. For example, 0.75 can be written as 75/100, which simplifies to 3/4.
Remember, when converting between decimals and fractions, it's essential to simplify the fraction and round the decimal if necessary.
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smith is in jail and has 3 dollars; he can get out on bail if he has 8 dollars. a guard agrees to make a series of bets with him. if smith bets a dollars, he wins a dollars with probability 0.4 and loses a dollars with probability 0.6. find the probability that he wins 8 dollars before losing all of his money if (a) he bets 1 dollar each time (timid strategy). (b) he bets, each time, as much as possible but not more than necessary to bring his fortune up to 8 dollars (bold strategy). (c) which strategy gives smith the better chance of getting out of jail?
(a) The probability that Smith wins 8 dollars before losing all his money using the timid strategy is approximately 0.214.
In the timid strategy, Smith bets 1 dollar each time. The probability of winning a bet is 0.4, and the probability of losing is 0.6. We can calculate the probability that Smith wins 8 dollars before losing all his money using a binomial distribution. The formula for the probability is P(X = k) =\(\binom{n}{k} \cdot p^k \cdot q^{n-k}\), where n is the number of trials, k is the number of successes, p is the probability of success, and q is the probability of failure. In this case, n = 8, k = 8, p = 0.4, and q = 0.6. By substituting these values into the formula, we can calculate the probability to be approximately 0.214.
(b) The probability that Smith wins 8 dollars before losing all his money using the bold strategy is approximately 0.649.
In the bold strategy, Smith bets as much as possible but not more than necessary to reach 8 dollars. This means he bets 1 dollar until he has 7 dollars, and then he bets the remaining amount to reach 8 dollars. We can calculate the probability using the same binomial distribution formula, but with different values for n and k. In this case, n = 7, k = 7, p = 0.4, and q = 0.6. By substituting these values into the formula, we can calculate the probability.
P(X = 7) =\(\binom{7}{7} \cdot 0.4^7 \cdot 0.6^{7-7} \approx 0.014\) ≈ 0.014
P(X = 8) =\(\binom{8}{8} \cdot 0.4^8 \cdot 0.6^{8-8} \approx 0.635\) ≈ 0.635
Total probability = P(X = 7) + P(X = 8) ≈ 0.649
(c) The bold strategy gives Smith a better chance of getting out of jail.
The bold strategy gives Smith a better chance of getting out of jail because the probability of winning 8 dollars before losing all his money is higher compared to the timid strategy. The bold strategy takes advantage of maximizing the bets when Smith has a higher fortune, increasing the likelihood of reaching the target amount of 8 dollars.
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Select all the rational numbers
Help !
Answer:
all not negative
Step-by-step explanation:
every one not negative is a ratio
Compute T₂(x) at x = 0.5 for y= e and use a calculator to compute the error le-T₂(x) at x = 1.2. T₂(x) = |ez - T₂(x) = 1.
The value of T₂(x) at x = 0.5 for y= e is 1 + x^2/2. The error is le-T₂(x) at x = 1.2 is 0.032 ~ 0.03.
Given:T₂(x) = |ez
The value of y is e.To find:T₂(x) at x = 0.5 for y= e and use a calculator to compute the error le-T₂(x) at x = 1.2.Formula used:
For the given function f(x), the second-degree Taylor polynomial centered at x = a is given by T2(x) = f(a) + f'(a)(x - a) + f''(a)/2!(x - a)2
The second-degree Taylor polynomial for f(x) is given by T2(x) = f(a) + f'(a)(x - a) + f''(a)/2!(x - a)2
Explanation:The second-degree Taylor polynomial for f(x) is given by T2(x) = f(a) + f'(a)(x - a) + f''(a)/2!(x - a)2
First, we will compute T₂(x) at x = 0.5 for y = e.Using the formula T2(x) = f(a) + f'(a)(x - a) + f''(a)/2!(x - a)2
We know that y = e and f(x) = |ezf'(x) = ze^zf''(x) = (z^2 + z)e^z
The value of f(a) = f(0) = |e^0 = 1f'(a) = f'(0) = z|z=0 = 0f''(a) = f''(0) = 1|z=0 + 0 = 1T2(x) = f(a) + f'(a)(x - a) + f''(a)/2!(x - a)2T2(x) = 1 + 0(x - 0) + 1/2!(x - 0)2T2(x) = 1 + x^2/2
Now, we will compute the error, le-T₂(x) at x = 1.2
Using the formula le-T₂(x) = |(e^z)/3!(x - 0.5)^3|z=1.2 = 0.032 ~ 0.03
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Can someone help me with this question? I’ll mark you brainliest if you answer!!!
A. Translation
This type of translation is defined as moving the object in space by keeping its size, shape or orientation constant. In a translation, each point of the shape must be moved in the same direction and for the same distance. When you are doing a translation, the primary object is called the pre-image, and the object after the translation is called the image.
B. Rotation
This type of transformation has an object about a fixed point without changing its size or shape.
C. Reflection
A reflection is a transformation that reflects each point in the preimage across a line of reflection. It is a rigid motion so it preserves length and angle measure
A perpendicular bisector is a line (ray, segment) which cuts a line segment into two equal parts at90° angle
D. A transformation is a change in the position or size of an object Movements that do not change the size or shape of the object moved are called “rigid transformations” There are three types of rigid transformations: Translations, Reflections, and Rotations. These are more commonly referred to as Slides, Flips, and Turns.
2. Find the measure of x, y, and zº:
35%
X/Yº
700
29
Answer:
Z=44° X=114° Y=66°
Step-by-step explanation:
Angles in a triangle add up to 180
31°+35°+x°=180°
66°+x°=180°
x°=180°-66°
x°=114°
Angles on a line add up to 180°
x°+y°= 180°
where x°=114°
114°+y° =180°
y°=180°-114°
y°=66°
Angles in a triangle add up to 180
z°+y°+70°=180°
where y=66°
z°+66°+70°=180°
z°+136°=180°
z°=180°-136°
z°=44°
Find h, k and a, then write an equation for the following transformed function.
Answer:
On the graph h, k, and a are not labeled so do not find a way to find them
Step-by-step explanation:
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Find the smallest number by which 240 must be multiplied so that the product is a perfect square
Answer:
15
Step-by-step explanation:
First we will find the square root of 240
2 240
2 120
2 60
2 30
3 15
5 5
1
2×2×2×2×3×5
We will need 15 to make it a perfect square.
Smallest number by which 240 must be multiplied so that the product is a perfect square is equals to 15.
What is perfect square?
" Perfect square of a number is defined as the number gets multiplied to itself."
According to the question,
Given number = 240
'x' represents the smallest number to make the product a perfect square
240 = 24 × 10
= 16 × 15
16 is a perfect square of 4.
To make 15 as perfect square multiply it by 15
Therefore ,
x= 15
Hence, 15 is the smallest number by which 240 must be multiplied so that the product is a perfect square.
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A croissant a cup of coffee and a fruit bowl from Kelly's coffee cart cost a total of $5.50 and a croissant cost twice as much as a cup of coffee Kelly post a notice announcing that effective next week the price of a croissant will go up 25% and the price of coffee will go up 20% after the increase the total price of the purchase will be $6.03. Find the cost of each item before the increase.
Answer:
cost of Croissant =$ 1.5142
cost of Coffee=$0.7571
cost of fruit bowl = $3.229
Step-by-step explanation:
Step 1
A croissant, a cup of coffee, and a fruit bowl cost $5.50 also a croissant costs twice as much as a cup of coffee
so let cost of a cup of coffee=C
cost of croissant=2C
cost of fruit bowl = F
Such that
C+2C+F= 5.50
3C+F=5.50.......equation 1
Also, effective next week, the price of a croissant will go up 25% and the
price of coffee will go up 20% Giving us that
new cost of croissant=(2C)(1+25/100)=2.5C
new price of coffee=(C)(1+20/100)=1.20C
new price of fruit bowl still remains unchanged =F
such that
2.5C +1.20C + F=6.03
3.7C+F=6.03----- equaton 2
Step 2
3C+F=5.50.......equation 1
3.7C+F=6.03----- equaton 2
By elimination method, we subtract eqn 1 from eqn 2
3.7C - 3C + F -F=6.03-5.5
0.7 C=0.53
C= 0.53/0.7
C=0.7571
2C= 1.5142
3C+F=5.50
3 X 0.7571 + F= 5.50
2.27 + F= 5.50
F= 5.50-2.271= 3.229
cost of Croissant =$ 1.5142
cost of Coffee=$0.7571
cost of fruit bowl = $3.229
If a tree cast a 3.5 foot shadow at the same time is 6 foot tall women cast a shadow measuring 13.8 feet what would be the height of the tree
Answer:
1.522 ft tall
Step-by-step explanation:
divide 13.8 by 6ft and you would get 2.3
the height of the object multiplied by 2.3 would get you the shadow so, to get the original height from the shadow, just divide by 2.3.