The exponential function is the best fit for the given graph. The correct answer would be option (A) exponential.
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
The graph is given in the question, as shown.
Let's try to observe the rate of change between the values of x and y.
When x increases by 1, y changes by:
We can observe that the rate of change is not constant.
When substituting the values of the given table in the graphing calculator, we get a function that is exponential.
Thus, the correct answer would be an option (A) exponential.
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Tivo families planned to go to the zoo. The entry ticket for one adult was $7.31 and
the entry ticket for one child was $5.66. There were two adults in the group. The
families intend to spend no more than $46.00. What is the greatest number of child
tickets that can be purchased?
Answer:
5 children
Step-by-step explanation:
Solve
$7.31 x2 = $14.62
$46 - 14.62 =$32
5.66 divided by 5 = 28.3
5.66 divided by 6 = 33
$33 is bigger than $31
Therefore, the greatest number of children tickets can be purchased is only 5.
1
Select the correct answer from each drop-down menu.
AB Is dilated by a scale factor of 3 to form A' B'. Point O, which lies on AB, is the center of dilation.
The slope of AB is 3. The slope of A' B' is
AB
through point O.
Answer:
The slope of A'B' is 3
Step-by-step explanation:
Given
AB dilated to A'B'
\(m(AB) = 3\) --- slope of AB
Required
The slope of A'B'
When a point, line or shape is dilated, the original object and the image of the dilation maintains are similar.
Similar objects have the same slope.
Hence, the slope of AB and the slope of A'B' are the same
Answer:
Step-by-step explanation:
A cellphone costs 120 dollars. The price is reduced 30 percent for a sale. How much is the saving
How many gallons of a 50% antifreeze solution must be mixed with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze?
Answer: 180 gallons needed
Step-by-step explanation:
Zykeith,
Assume x gallons of 50% antifreeze is needed
Final mixture is x + 60 gallons
Amount of antifreeze in mixture is 0.4*(x+60)
Amount of antifreeze added is .5x + .1*60 = .5x + 6
so .5x + 6 = .4(x + 60)
.5x -.4x = 24 -6
.1x = 18
x = 180
Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:
\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)
Simplifying the equation:
\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)
\(\qquad\quad\implies 0.1x = 21\)
\(\qquad\qquad\implies \bold{x = 210}\)
\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
A closet in Shivani's house is 2 yards by 1 yard. How much would it cost to put a new floor in the closet if the flooring costs $38.00 per square yard?
The amount it would cost to put a new floor in the closet is $76.00
Calculating how much it would cost to put a new floor in the closetFrom the question, we are to calculate how much it would cost to put a new floor in the closet
From the given information,
A closet in the house is 2 yards by 1 yard.
To determine how much it would cost to put a new floor in the closet,
First,
We calculate the area of the closet
Area of the closet = 2 yard × 1 yard
Area of the closet = 2 square yards
Now,
From the given information,
The flooring costs $38.00 per square yard
Thus,
The amount it would cost to put a new floor in the closet is
2 × $38.00
= $76.00
Hence,
The amount it would cost is $76.00
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The costs per load (in cents) of 34 dish-washing detergents tested by a consumer organization are shown here. Find the standard deviation of the sample. Class limits 20-28 29-37 38-46 47-55 7.7 Frequency 13 15 4 2
The standard deviation of the sample is approximately 9.15
To find the standard deviation of the sample, we first need to calculate the sample mean. The sample mean is the sum of all the data points divided by the total number of data points. In this case, we are given the frequency distribution of the costs per load of 34 dish-washing detergents.
To calculate the sample mean, we multiply each class midpoint by its corresponding frequency, sum up these products, and divide by the total number of data points (34 in this case).
The class midpoint for each class interval can be calculated by adding the lower class limit to the upper class limit and dividing by 2. For example, the class midpoint for the interval 20-28 is (20 + 28) / 2 = 24.
Using this information, we can calculate the sample mean:
(24 * 13 + 33 * 15 + 42 * 4 + 51 * 2) / 34 = 32.44
Next, we need to calculate the squared deviation of each data point from the sample mean. The squared deviation is obtained by subtracting the sample mean from each data point and squaring the result.
For each class interval, we can calculate the squared deviation by subtracting the class midpoint from the sample mean, squaring the result, and multiplying by the frequency.
The sum of these squared deviations is then divided by the total number of data points minus 1 (n-1) to obtain the variance.
Using the given data, the variance is calculated as follows:
((24 - 32.44)^2 * 13 + (33 - 32.44)^2 * 15 + (42 - 32.44)^2 * 4 + (51 - 32.44)^2 * 2) / (34 - 1) = 83.6
Finally, to find the standard deviation, we take the square root of the variance:
√(83.6) ≈ 9.15
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The difference between a number x and 10 is 18
In order to have $800,000 in 38 years, you should deposit $ 589 each
month.
(Round up to the nearest dollar.)
b. Assume that the annuity in part (a) is a tax-deferred IRA belonging to a
man whose gross income is $49,000. Use the table on the left to calculate
his taxes first with and then without the IRA. Assume the man is single with
no dependents, has no tax credits, and takes the standard deduction.
The income tax with the IRA is $.
(Use the answer from part (a) to find this answer. Round up to the nearest
cent as needed.)
The income tax without the IRA is $.
(Use the answer from part (a) to find this answer. Round up to the nearest
cent as needed.)
The income tax with the IRA is $6,582 and the income tax without the IRA is $5,774.
How to calculate the taxWithout the IRA, his taxable income would be his gross income minus the standard deduction for a single taxpayer with no dependents, which is $12,550 in 2023:
Taxable income without IRA = $49,000 - $12,550 = $36,450
Using the tax table for single taxpayers, we can find that his income tax would be $5,773.75.
With the IRA, his taxable income would be his gross income minus the amount deposited into the IRA over the course of the year. Since he is depositing $589 each month, the total deposited in a year would be $589 * 12 = $7,068.
Taxable income with IRA = $49,000 - $7,068 = $41,932
Using the same tax table, we can find that his income tax with the IRA would be $6,581.63.
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Order the expressions by choosing <, >, or =.
On comparing the given expressions we get-
\(9^{-2} < (\frac{1}{9}) ^{-1}\)
\((\frac{1}{9}) ^{-1} < (\frac{1}{9}) ^{-2}\)
\(9^{-1} > 9^{-2}\)
Here, we are given 3 pairs of expression. Let us evaluate them one by one.
\(9^{-2}\) _ \((\frac{1}{9}) ^{-1}\)
The negative exponent means that the base is the reciprocal raised to a positive power. Thus, \(9^{-2}\) can be written as- \((\frac{1}{9}) ^{2}\) = 1/81
similarly, \((\frac{1}{9}) ^{-1}\) can be written as- \((9}) ^{1}\) = 9
Thus, the expression becomes-
1/81 _ 9
clearly we can see that 1/81 < 9
Now, we have \((\frac{1}{9}) ^{-1}\) _ \((\frac{1}{9}) ^{-2}\)
As shown above, the expression can be simplified as-
\((9) ^{1}\) _ \((9) ^{2}\)
9 _ 81
clearly we can see that 9 < 81
Next, we have- \(9^{-1}\) _ \(9^{-2}\)
we can write this as-
1/9 _ 1/81
Clearly, 1/9 > 1/81
Hence, we have solved the given inequalities.
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Does anyone know this answer??
Answer:
96.25%
Step-by-step explanation:
The empirical rule regarding mean and standard deviation is that
Around 68% of scores are between 40 and 60.Around 95% of scores are between 30 and 70.Around 99.7% of scores are between 20 and 80.Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find approximately 95/2 = 47.5% of the values
Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values
Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values
The beginning balance of the check register was $492.88. During the month, deposits were made for $210 and $499.88. Checks were
written for $18.25, $19.82, and $309.82. What is the ending balance of the check register?
Note: Round your answer to 2 decimal places.
Answer:
$840.77
Step-by-step explanation:
Can u help this problem
HELP PLEASE its worth 30 points
Answer:
i'm pretty sure it is "the graph forms a parabola"
Step-by-step explanation:
-6 -5 across the x axis
The reflection of point (-6, -5) across the x-axis will give (-6, 5)
What is reflection?A reflection point occurs when a figure is constructed around a single point, known as the point of reflection or center of the figure.
Given is a point (-6, -5), we need to find the coordinates of the point when it is reflected across the x-axis,
The rule for a reflection across the x-axis -:
The rule for reflecting over the x-axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.
i.e, (x, y) → (x, -y)
Therefore,
(-6, -5) → (-6, 5)
Hence, the reflection of point (-6, -5) across the x-axis will give (-6, 5)
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The question is incomplete, the question is solved for:
Reflect point (-6, -5) across x-axis
find the value of x such that 365 based seven + 43 based x = 217 based 10.
We need to find the base x in the following equation:
\(365_7+43_x=217_{10}\)First, lets convert 365 from base 7 to base 10. This is given by
\(365_7=3\times7^2+6\times7^1+5\times7^0\)where the upperindex denotes the position of eah number. This gives
\(\begin{gathered} 365_7=3\times49+6\times7+5\times1 \\ 365_7=147+42+5 \\ 365_7=194_{10} \end{gathered}\)that is, 365 based 7 is equal to 194 bases 10.
Now, lets do the same for 43 based x. Lets convert 43 based x to base 10:
\(43_x=4\times x^1+3\times x^0\)where again, the superindex 0 and 1 denote the position 0 and 1 in the number 43. This gives
\(43_x=(4x+3)_{10}\)Now, we have all number in base 10. Then, our first equation can be written in base 10 as
\(194_{10}+(4x+3)_{10}=217_{10}\)For simplicity, we can omit the 10 and get
\(194+4x+3=217\)so, we can solve this equation for x. By combining similar terms. we have
\(197+4x=217\)and by moving 197 to the right hand side, we obtain
\(\begin{gathered} 4x=217-197 \\ 4x=20 \end{gathered}\)Finally, we get
\(\begin{gathered} x=\frac{20}{4} \\ x=5 \end{gathered}\)Therefore, the solution is x=5
Which of the following is not a type of nonfiction?
A. Speech
B. Biography
C. A short story
D. Autobiography
Answer:
Biography
Step-by-step explanation:
It is not fake
Answer:
C. A short story
Step-by-step explanation:
A speech is given by someone in real life
A biography is something written on someone else's life
A short story is not on any real life situation
An autobiography is something written by a person on their life
June has $1.95 in dimes and nickels. She has a total of 28 coins. How many of each type of coin does she have?
Please show work!!
Answer:
She has 11 dimes and 17 nickels
Step-by-step explanation:
dimes --- d
nickels -- n
Equation with number of coins: \( n+d = 28 n = 28-d\)
\(10d + 5n = 195 \)
Divide by 5
\(2d + n = 39\)
sub in the other equation:
\(2d + 28-d = 39
d = 11
n = 28-11 = 17
\)
She has 11 dimes and 17 nickels
check:
total = 11 + 17 = 28 , check!
value: 10(11) = 5(17) = 195 , check!
How many times larger is 6.255 x 10^10 than 1.5 × 10^8?
4.17
24.0
240
417
we get that 6.255 × 10¹⁰ larger than 1.5 × 10⁸ by 417 times.
We are given two expressions:
6.255 × 10¹⁰ and 1.5 × 10⁸
We need to tell that how much times is 6.255 × 10¹⁰ larger than 1.5 × 10⁸.
We will do this with the help of division.
So, we get that:
= 6.255 × 10¹⁰ ÷ 1.5 × 10⁸
= 6.255 × 10¹⁰⁻⁸ ÷ 1.5
= 6.255 × 10² ÷ 1.5
= 625.5 ÷ 1.5
= 417
Therefore, we get that 6.255 × 10¹⁰ larger than 1.5 × 10⁸ by 417 times.
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Two opposite rays _____ form a line.
Answer:
always
Step-by-step explanation:
The number 2/5 is both an blank and an blank
The number 2/5 is both a ratio and a fraction.
How to describe the numberThe number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.
The expression is also a ratio because it indicates the quantitative relationship between the figures.
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PLEASE HELP I WILL GIVE BRAINLIEST!!!
Solve for x: 5x + 15 = 28 (5 points)
forty-three over five
thirteen over five
13
43
Answer:
x=3
or 13/5
Step-by-step explanation:
5x+15=28 (-15)
5x=13 (/5)
x=3
What were the rental rates?
answer/explanation:
d = daily rental chargem = the charge per mileJon rented a car from a company that charged a daily rental fee and a mileage charge. He rented the car for 6 days and drove 300 miles and was charged $285.6d + 300m = 285His friend Amanda later rented the same car for 7 days and drove 260 miles and was charged $310.7d + 260m = 310by solving the system of equations6d + 300m = 2857d + 260m = 310we findd = $35m = $0.25the daily rental charge is $35.the company charge per mile is $0.25.hope this helps
Help me on this question
Answer:
13
Step-by-step explanation:
r/3 - 9 >= -2
how do i do this?
Answer:
r >=21
Step-by-step explanation:
r/3-9>=-2
r/3>= -2+9
r/3 >= 7
r>=7*3
r>=21
A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25. How many of each type of frust was sold?
A store sells 5 oranges and 10 apples.
What is the cost amount?
The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.
Here, we have
Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.
We have to determine how many of each type of fruit were sold.
We, let the oranges be x.
let the apples be y.
x + y = 15...(1)
1x + 2y = 25...(2)
We subtract equation(2) from equation(1), we get
y = 10
Now we put the value of y in equation (1) and we get
x + 10 = 15
x= 5
Hence, a store sells 5 oranges and 10 apples.
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What is the value of the discriminant for the quadratic equation –3 = –x2 + 2x?
Discriminant = b2 – 4ac
–8
4
8
16
The value of the discriminant for the quadratic equation –3 = –x2 + 2x is 16
What is the value of the discriminant for the quadratic equation?The quadratic equation is given as:
–3 = –x^2 + 2x
Rewrite the equation as:
x^2 - 2x - 3 = 0
A quadratic equation is represented as;
ax^2 + bx + c = 0
So, we have
a = 1
b = -2
c = -3
The discriminant is
d = b^2 - 4ac
So, we have
d = (-2)^2 - 4 * 1 * -3
Evaluate
d = 16
Hence, the value of the discriminant for the quadratic equation –3 = –x2 + 2x is 16
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Answer:
16
Step-by-step explanation:
Candy spends £2.65, has 2/3 left, how much money does candy have to start
Candy spends £2.65, has 2/3 left and Candy has £7.95 money to start with.
Given that Candy spends £2.65 and has 2/3 of the initial amount left, we are required to find how much money Candy has to start with.
Solution:Let the initial amount of money Candy has be x.
Then, the amount of money spent by Candy = £2.65
Amount of money left with Candy = 2/3 of the initial amount
∴ Money left = 2/3 × x
Amount of money spent + money left = initial amount of money
Candy spends £2.65:2/3 of the initial amount left
= £ (x - 2.65)∴ 2/3 × x
= x - 2.65⇒ 2x/3
= x - 2.65⇒ 2x
= 3x - 7.95⇒ 3x - 2x
= 7.95⇒ x = 7.95
Hence, Candy has £7.95 to start with.
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For this graph, mark the statements that are true.
Answer:
C and DStep-by-step explanation:
Given is the graph of the function with no restrictions.
The domain and range are all real numbers.Correct options are C and D
Answer:
C and d
Step-by-step explanation:
given in the graph of the function with no restriction the domain and range are all real number
Graham invested some of his $18,000 in bonds that made a 5% profit and the rest in bonds that made a 12% profit. If the 12% bonds made $885 more than the 5% bonds, how much did Graham invest in the 5% bonds?
$7500 is the amount invested in the 5% bonds
How to calculate how much Graham invest in the 5% bond?Let's call the principals (pre-profit amounts) of the 5% profit bonds F and the 12% profit bonds T.
The profit from the 5% bonds would thus be 0.05 * F, and the profit from the 12% bonds 0.12 * T
Then we have two equations, for two unknowns:
0.12 * T = 0.05 * F + 885
T + F = 18000 (as the total amount invested into both those bonds is 18000)
Then T = (0.05 * F + 885) / 0.12 = 5/12 * F + 7375
Subtracting (T+F) from both sides, except on the other side (where the non-variable number is), we're going to subtract (T+F) by subtracting 18000. This will just give us a single equation in terms of one variable (F)
T - (T+F) = (5/12)*F + 7375 - 18000
-F = (5/12)*F - 10625
Let's solve for F by adding F to both sides of the last equation, getting us:
-F + F = 0 = 17/12 * F - 10625
This means 17/12 * F = 10625
F = 12/17 * 10625 = $7500
Hence the amount invested in the 5% bonds (before profit) is $7500
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Choose the best selection for the
quadrilateral with vertices at the
following points:
(-3,0), (-3,-3), (0,-3), (0,0)
Hint: Start by graphing the points.
Distance Formula: d = √(x2-x₁)² + (Y2 − ₁)²
A. Trapezoid
C. Rectangle
B. Rhombus
D. Square
Answer:
D. Square
Step-by-step explanation:
You want the best name for the quadrilateral with vertices (-3, 0), (-3, -3), (0, -3), and (0, 0).
GraphA graph of the points is shown in the attachment. We notice the vertices are aligned with the grid, so the corner angles are all right angles.
The differences of x-coordinates and y-coordinates are both 3, so the side lengths of this rectangle are all 3 units.
The figure is all of a rectangle, rhombus, and square.
The most specific name for the figure is Square.
__
Additional comment
A trapezoid has one pair of parallel sides. This figure has two pairs of parallel sides, so is not a trapezoid.
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