Select the correct answer. Which graph represents the given exponential function? f(x)=5(3)x-1
A.
B.
C.
D.
Answers
The graph of the function f(x) = 5(3)ˣ - 1 is represented as the diagram given in option C.
To find the main points of the function f(x) = 5(3)ˣ - 1, we can identify its key features such as the y-intercept, x-intercept, and any asymptotes.
Y-intercept:
To find the y-intercept, we set x = 0 and evaluate the function:
f(0) = 5(3)⁰ - 1 = 4
Therefore, the y-intercept is (0,4).
Asymptotes:
There are no vertical asymptotes for this function since the base of the exponential function, 3, is positive.
The graph of the function is given in the attached image.
Therefore, the correct option is C.
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Related Questions
PLEASE HELP I DONT KNOW
Answers
Answer:
48.56 cm
Step-by-step explanation:
The rectangle: 10+10+8+8
= 36cm
The half circle: 1/2 πd
=1/2x3.14X8
= 12.56
So, the total perimeter will be- 36+12.56
=48.56
Mark me brainliest plss :)) I worked hard for the ans
Answer:
40.565cm
Step-by-step explanation:
To find a circumference (perimeter) of a cirlce, you need to use the formula C=2πr.
We know the diameter is 8 but we need the radius, the radius we would divide the diameter in half.
8 ÷ 2 = 4
Now that we know the radius is 4, you plug in 4 for r, and then solve
C= 2π4
C= 25.13
The circumference of the whole circle is 25.13 so we would cut it in half to get the half of the circle we need. So 25.13 ÷ 2 = 12.565.
Now that we have the circumference of the half-circle, it a lot easier. Take the 3 other sides and the half-circle and just add the together
8 + 10 + 10 + 12.565 = 40.565
Find the volume of the cylinder to the nearest cubic foot. Use a calculator. A. 236 ft3 B. 942 ft3 C. 251 ft3 D. 75 ft3
Answers
\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=3 \end{cases}\implies V=\pi (5)^2(3)\implies V\approx 236~ft^3\)
Answer:
236 ft^3
Step-by-step explanation:
Base radius = 5 ft
Height = 3 ft
Volume = πr^2h
= π × 5^2 × 3
= 75π
= 235.61944901923 feet^3
Nearest Cubic Foot = 236 ft^3
Nearest Cubic Foot:
Hence Answer is:
236 ft^3
Hope this helps!
Can someone please help me on these 3 problems
Answers
Answer:
I'm not so sure of 7 and 8. but for number 9 we have to do 10*10= 100 The solution is D
rlly need help plzzzzzz
Given f(x) = x², write the new equation of j(z) if j() = – 2f(x + 6) + 9. You do not need to simplify.
Answers
Answer:
gurl im sorry
Step-by-step explanation:
i dony know the answer im just here for points
Solve the equation for y. Identify the slope and y-intercept then graph the equation.
Y=-3x+1
Y=
M=
B=
Please Include a picture of the graph and show your work if you can
Answers
Answer:
y = 1 m = -3 b = 1
Step-by-step explanation:
y = mx + b y = -3x + 1
y = 1
m = -3
b = 1
Find the solution of this system of equations
-2x - by =
- 16
4x - 6V
=
-58
Answers
The values x and y are found as (x = -7) and (y = 5).
What is defined as the system of equations?When there is more than one unidentified and enough content to set up equations within these unknowns, systems of equations are being used to solve applications. In general, we require sufficient information to established n equations in n unknowns if there are n unknowns.One solution exists for a set of 2 or more equations usually contains a set of common variables. When there is no solution to a system of equations with different slopes.The two given equation are-
-2x - 6y = -16 .......equation 1
4x - 6y = -58 .......equation 2
Multiply equation 1 with -1.
-(-2x - 6y = -16)
Solve by eliminations; subtract equation 2 from 1.
2x + 6y = 16
4x - 6y = -58
Further simplifying;
6x = -42
divide both sides by six
x =- 7
Put the value of x equation 1.
2(-7) + 6y = 16
-14 + 6y = 16
6y = 30
y = 5
Thus the values of the variables are found as (x = -7) and (y = 5).
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The correct question is-
Find the solution of this system of equations.
-2x - 6y = -16
4x - 6y = -58
i need help on these please
Answers
The cost of gas is proportional to the volume of gas because a constant rate of $3.15 to 1 gallon of gas.
How to calculate the constant rate of gas?From the given table;
The volume of the first gas Layla bought = 3 gallons.
The cost of the 3 gallons = 9.45
Therefore the cost of 1 gallon = ?
That is:
3 gallons = $9.45
1 gallon = X
Make X the subject of formula:
X = 9.45/3 = $3.15
Therefore, the cost of 11 gallons of gas would be = 11×3.15 = $34.65. This is because the cost of 1 gallon would be = $3.15.
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TODAY!! Help plss I’m confused giving branliest to the best answer!! Thank you!!
Answers
3.8 x\(10^3\) is 169 times smaller than 6.422x \(10^5\).
How does scientific notations work?The number is written in the form \(a \times 10^b\) where we have \(1 \leq\) a < 10. Scientific notations have some of the profits as:
Better readability due to compact representation Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.
We need to find out how many times 3.8 x 10^5 is greater than 3.8 x 10^-7.
To do that, we have to divide 3.8 x 10^5 by 3.8 x 10^-7 and then find the answer.
Let us do that:
\(\begin{gathered} \frac{3.8\cdot10^3}{6.422\cdot10^{5}}\text{ = }\frac{3.8}{6.422}\cdot\text{ }\frac{10^3}{10^{5}} \end{gathered}\)
= 169
According to the division law of indices states that if a numerator and a denominator have the same base (e.g. 10), then the power of the numerator can subtract of the denominator.
Therefore, 3.8 x\(10^3\) is 169 times smaller than 6.422x \(10^5\).
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Please help! I will gift you brainiest in reward.
Answers
Answer:
Graph DStep-by-step explanation:
When the process starts, the water is flowing slowly, since there is only 1 valve open. That represents the part on this where the line is going almost horizontally.
When the operator opens the second valve also, then there will be more water released at once, which means that the water will come out faster, and take less time. That represents the middle part of the line, which is almost vertical.
When the operator shut's down the second valve, then the process gets slower, and that represents the part which is going slow again. And that represents the 3rd part, where the line is going almost horizontal again.
Mark me brainliest if this could help! Thanks!
Find the perimeter of the shape
Answers
Answer:
54ft
Step-by-step explanation:
15- 8 = 7ft
12-5 = 7ft
7+7+12+15+5+8 = 54 ft
Answer:
15+12+8+7+7+5=54
Step-by-step explanation:
54
why 54?
there are two missing distances
so we see the two heights
12-5=7
and now the two lengths
15-8=7
now we got the missing lengths, and we add them
15+12+8+7+7+5=54
54 is the answer
The coldest temperature on record in town A is -3.33
The coldest temperature on record in town B is -3 2/5
Which town has the colder temperature
Answers
Answer:
Town B
Step-by-step explanation:
-3 2/5 is equal to -3.4 and -3.4 is smaller than -3.33 therefore it is colder
Which equation represents the total number of black and white squares on the chess board?
Answers
The equation that represents the total number of black and white squares on the chess board is 8 * 2² = 32
How to determine the equation of the black and white squaresFrom the question, we have the following parameters that can be used in our computation:
The chess board
From the chess board, we have
Black squares = 32
White squares = 32
When factorized, we have
Black squares = 32 = 8 * 2²
White squared = 32 = 8 * 2²
Hence, the equation that represents the squares on the chess board is 8 * 2² = 32
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x-intercept of 3 and y-intercept of 8
How do you write a lunar equation given this information and how do you write the equation in slope form
Answers
Answer:
y = -8/3x + 8
Step-by-step explanation:
Step 1: Identify which values we have and need to find in the slope-intercept form:
The general equation of the slope-intercept form of a line is given by:
y = mx + b, where
(x, y) is any point,m is the slope,and b is the y-intercept.Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.
Step 2: Find m, the slope of the line:
Since the x-intercept is 3, the entire coordinates of the x-intercept are (3, 0)Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:
0 = m(3) + 8
0 = 3m + 8
-8 = 3m
-8/3 = m
Thus, the slope is -8/3.
Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.
Optional Step 3: Check the validity of the answer:
We know that the entire coordinates of the x-intercept are (3, 0) and the entire coordinates of the y-intercept are (0, 8).Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:
Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:
0 = -8/3(3) + 8
0 = -24/3 + 8
0 = -8 = 8
0 = 0
Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;
8 = -8/3(0) + 8
8 = 0 + 8
8 = 8
Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.
14c find the domain of the following equations and solve them
Answers
first the domain of the equation is
The domain would be all the real numbers except 0
now, the solution of the equation is:
\(\frac{\ln(\frac{1}{x^2}^{}+2)}{\ln6}=1\)\(\ln (\frac{1}{x^2}^{}+2)=\ln 6\)\(\frac{1}{x^2}+2=6^{}\)\(\frac{1}{x^2}=4\)\(x^2=\frac{1}{4}\)\(x=\sqrt[]{\frac{1}{4}}=\pm\frac{1}{2}\)
NO LINKS!!!
Water covers 70.7%, or about 3.61 x 10⁸ km², of the Earth's surface. Approximate the total surface area of the Earth. (Round your answers to the nearest million.)
_____________ km²
Answers
Answer:
511 million km²
Step-by-Step Explanation:
Let the total surface area of the Earth be x.
Water covers 70.7% of the total surface area of the Earth, i.e.,
70.7% of x = 3.61 x 10⁸ km²
or, 70.7x /100 = 3.61 x 10⁸ km²
or, 707x/1000 = 3.61 x 10⁸ km²
or, 707x = 3.61 x 10⁸ x 1000km²
or, 707x = 3.61 × 10^11 km²
or, x = 0.0051 × 10^11 km²
or, x = 5.1 × 10⁸ km² = 511 million km²
Hope it helps.
If you have any query, feel free to ask .
Answer:
511 million km²
Step-by-step explanation:
Let x be the approximate total surface area of the Earth.
Given water covers 70.7%, or about 3.61 × 10⁸ km², set up an equivalent ratio of percent (in decimal form) to area:
\(\implies 0.707:3.61 \times 10^8=1:x\)
Solve for x:
\(\implies\dfrac{0.707}{3.61 \times 10^8}=\dfrac{1}{x}\)
\(\implies0.707x=3.61 \times 10^8\)
\(\implies x=\dfrac{3.61 \times 10^8}{0.707}\)
\(\implies x=\dfrac{3.61 }{0.707}\times 10^8\)
\(\implies x=5.10608203...\times 10^8\)
One million has 6 zeros and can be written in scientific notation as:
1 × 10⁶Therefore, to write x in millions as x × 10⁶, subtract 2 from the exponent and move the decimal point to the right by 2 places:
\(\implies x=510.608203...\times 10^6\)
Therefore, the approximate surface area of the Earth is 510.608203... million km², which is 511 million km² to the nearest million.
Solve the equation because I really need help
Answers
Answer:
No Solution
Step-by-step explanation:
P.E.M.D.A.S
4(x+5) = 21 + 4x
4x+20 = 21+4x
we would subtract 4 on both sides to isolate 4 by it self.
subtract 4x on both sides but when we do we get 0 for x
4x-4x + 40 = 21 + 4x-4x
we get 40 = 21
So our answer is no Solution or unless your just tryning to find out that the total is with out x 40 = 21
high hopes ^^
Barry
please help and please explain
Answers
Answer:
a) $3,304.75
b) $23,510.75
Step-by-step explanation:
To use a tax table like this, you find the line applicable to the taxable income, then perform the calculation described on that line.
a)The taxable income of $25000 is over $7825, but less than $31850. That means the second line of the table is used. It tells you the tax is $782.50 plus 15% of the amount over $7825. You find the amount over $7825 by subtracting $7825 from $25000.
tax = $728.50 +0.15×(25000 -7825) = $728.50 +0.15×17,175
tax = $728.50 +2576.25 = $3,304.75 . . . . tax on $25,000
__
b)For a taxable income of $105,000, the fourth line of the table is used. That tells you the tax computation is ...
tax = $15,698.75 +0.28×(105,000 -77,100)
tax = $23,510.75 . . . . tax on $105,000
DeMaria Corporation, a calendar year corporation, generates the following taxable income (net operating losses) since its inception in 2016: Year Taxable result 2016 40,000 2017 (15,000) 2018 (5,000) 2019 6,000 Assuming Demaria makes no special elections with regard to NOLs, what is DeMaria's net operating loss carryforward into 2020?
Answers
Answer:
Carry-forward to 2020 = $200
Step-by-step explanation:
In case of no election with regards to NOL, For year prior 2018, NOL will automatically carryback.
But after year 2018, NOL can only be carryforward inficately, lessor of actual NOL or 80% of taxable income.
Therefore, NOL of $15,000 will be carried back
But loss of $5,000 will be carryforward up to 80% of Taxable Income in 2019
NOL Offset in 2019 - Lessor or $5,000 or $6,000*80% = $4,800
Carry forward to 2020 = $5,000 - $4,800 = $200
A. Using the spinner above, what is the probability that a player will draw 3 cards?
B. What is the probability that a player will draw 1 card on the first spin and 2 cards on a second spin?
C. Harold wants the probability that a player draws 3 cards and moves 2 spaces to be 3/8. How can he change the spinners to result in this probability?
Answers
Answer:
A-1/3
B-1/8
C-?
Step-by-step explanation:
Claire has to go to the movie theater the movie starts at 4:15 pm it is a 25min walk to the theater from her home what time dose the have to leave the house to get there on time
Answers
Answer:
3:50 pm
Step-by-step explanation:
Count backwards with the 25 min.
4:15 - 15 min >
25 - 15 = 10 >
4:00 - 10 = 3:50
Answer:
3:50 pm
Step-by-step explanation:
Starting Time + Time Interval = Ending Time
=> Ending Time - Time Interval = Starting Time
Ending Time = 4:15 pm
Time Interval = 25 minutes
Starting Time = x
=> 4:15 - 25 = x
=> 4:15 - 15 - 10 = x
=> (4:15 - 15) - 10 = x
=> 4:00 - 10 = x
=> 3:50 pm = x
So, she needs to leave the house at 3:50 pm to get to the movie theater on time.
pls answer this!!!
worth 30 points
find the circumference of a circle with d=97cm diameter
round to 3 significant figures
Answers
The circular is around 305 cm in circumeference.
The circumference of a circle is given by the formula:
C = πd
where d is the diameter of the circle.
Substituting d = 97 cm and using the value of π to be 3.14159, we get:
C = πd
C = 3.14159 × 97 cm
C ≈ 304.731 cm
Rounding this to 3 significant figures, we get:
C ≈ 305 cm
Therefore, the circumference of the circle is approximately 305 cm.
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Raphael buys one raffle ticket.
a total of 250 raffle tickets are sold.
One of these tickets will win the raffle.
Each ticket has an equal chance of winning the raffle.
(a) Write down the probability that Raphael's ticket will win the raffle
(b) Write down the probability that Raphael's ticket will not win the raffle
Answers
Answer:
There is a 1/250 chance that his ticket will be chosen
There is a 249/250 chance that his ticket will not be chosen
Step-by-step explanation:
Hope that helps!
What is 7 groups of 2/7?
Answers
7 groups of 2/7 is equivalent to the whole, which is represented by the number 2.
When we have 7 groups of 2/7, we are essentially multiplying the fraction 2/7 by the whole number 7. To perform this operation, we can use the following formula:
a/b × c/d = ac/bd
where a, b, c, and d are any numbers, and a/b and c/d are two fractions.
In our case, a is 2, b is 7, c is 7, and d is 1. This is because we want to multiply 2/7 by 7 to get 7 groups of 2/7. Therefore, we can substitute these values into the formula:
2/7 × 7/1 = (2 × 7) / (7 × 1) = 14/7
The result is a fraction 14/7, which can be simplified to 2. This means that 7 groups of 2/7 is equal to 2. To simplify this further, we can say that if we divide a whole into 7 equal parts, each part is 2/7. If we have 7 of these parts, we have the whole.
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N Heracio's Computer Time Shopping Research 10% Videos 15% Homework 20% Games 20% Social dia 25% Heracio used the computer a total of 40 hours last week. How many more hours did Heracio use the computer to do homework than shop online?
Answers
Heracio used the computer 4 more hours to do homework than shop online.
How to solve the proportionTo find out how many more hours Heracio used the computer to do homework than shop online, we first need to calculate the number of hours he spent on each activity.
Let's start by calculating the number of hours Heracio spent on each activity:
Shopping: 10% of 40 hours = 4 hours
Videos: 15% of 40 hours = 6 hours
Homework: 20% of 40 hours = 8 hours
Games: 20% of 40 hours = 8 hours
Social media: 25% of 40 hours = 10 hours
Now, to find out how many more hours Heracio used the computer to do homework than shop online, we need to subtract the number of hours spent shopping from the number of hours spent on homework:
8 hours (homework) - 4 hours (shopping) = 4 hours
Therefore, Heracio used the computer 4 more hours to do homework than shop online.
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The length of a rectangle is 8 inches longer than 3 times its width. The area of the rectangle is 156 square inches.
What is the width of the rectangle?
Answers
The Answer:
Width = 6
Step-by-step explanation:
Let width be w
(3w + 8) x w = 156
3 \(w^{2}\) x 8n - 156 = 0
(w + 8 x 6) (w-6) = 0
w = 6
Solve For X
(This is arcs and i could use some help)
Answers
Answer:
x = - 4
Step-by-step explanation:
Since we are looking at a circle, we know that the sum of all arc angles should add up to 360°. This means that the following...
- 32x - 3 = 360 - 85 - 35 - 115
- 32x - 3 = 125
- 32x = 125 + 3
- 32x = 128
x = 128 / (-32)
x = - 4
HCF of 560 and 729 :)
Answers
The HCF of 560 and 729 is 1.
To find the HCF of 560 and 729, we use the Euclidean algorithm as follows;HCF of 560 and 729:Step 1: Divide the larger number by the smaller number, then find the remainder.729 ÷ 560 = 169 remainder 169Step 2: Divide the smaller number (i.e., 560) by the remainder (i.e., 169).560 ÷ 169 = 3 remainder 53.
Step 3: Divide the remainder from step 1 (i.e., 169) by the remainder from step 2 (i.e., 53).169 ÷ 53 = 3 remainder 10Step 4: Divide the remainder from step 2 (i.e., 53) by the remainder from step 3 (i.e., 10).53 ÷ 10 = 5 remainder 3Step 5: Divide the remainder from step 3 (i.e., 10) by the remainder from step 4 (i.e., 3).10 ÷ 3 = 3 remainder 1.
Step 6: Divide the remainder from step 4 (i.e., 3) by the remainder from step 5 (i.e., 1).3 ÷ 1 = 3 remainder 0The HCF of 560 and 729 is the last non-zero remainder, which is 1.
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I have another riddle.
If you buy one rabbit and a rabbit can produce 5 per year, then how many rabbits will you have in 9 years?
Answers
Total number of rabbits produced in 9 years will be 45.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is a rabbit can produce 5 new rabbits per year
Total number of rabbits produced in 9 years will be -
n = 5y = 5 x 9 = 45 new rabbits
Therefore, total number of rabbits produced in 9 years will be 45.
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Suppose you make hot chocolate. It's too hot to drink, so you put it in the freezer to cool it off. If the original temperature is 190 degrees Fahrenheit and the freezer is 0 degrees Fahrenheit, what will the temperature of the hot chocolate be after 3 minutes? (k = 0.12)
A 132.56 degrees
B 272.33 degrees
C 149.46degrees
D 241.54 degrees
Answers
I need help
I need help
I need help
I need help
I need help
I need help
I need help
Answers
The sequence is decreasing as n increases and sequence converges to the value 0.
The given sequence is defined as aₙ = 1 / (7n + 3).
To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.
As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.
The sequence converges to the value 0.
The sequence is decreasing as n increases.
The sequence converges to the value 0.
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