Answers
The function given in the table is an exponential function.
The function given in the table is clearly not linear, since the y value is changing rapidly.
Here we can see that the function value is changing as the multiplication of 7.
y = 7⁰ = 1, when x = 1
y = 7¹ = 7, when x = 2
y = 7² = 49, when x = 3
y = 7³ = 343, when x = 4
y = 7⁴ = 2401, when x = 5
So here the equation of the function can be written as,
y = 7ˣ⁻¹
Here the variable x is in the exponent.
So it is an exponential function.
Hence the given function is an exponential function.
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Related Questions
The equation x^2-8x-5=0 can be transformed into the equation (x-p)^2=q, where p and q are real numbers. What is the value of q?
Answers
Since p and q are real numbers, the value of q is 21.
What is a quadratic equation?In Mathematics and Geometry, a quadratic equation can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph.
In Mathematics, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Next, we would solve the given quadratic equation by using the completing the square method;
x² - 8x - 5 = 0
x² - 8x = 5
In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:
x² - 8x + (-8/2)² = 5 + (-8/2)²
x² - 8x + 16 = 5 + 16
x² - 8x + 16 = 21
By simplifying, we have;
(x - 4)² = 21
p = 4 and q = 21
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Solve the equation e' = 120. Then find the approximate value of the solution
using a calculator.
Answers
The approximate value of the solution to the equation e' = 120 is e ≈ 120.the value of e by rounding it to a Reasonable number of Decimal places.
The given equation is e' = 120, where e represents some variable.
To solve for e, we can start by dividing both sides of the equation by the coefficient of e, which is 1:
e' / 1 = 120 / 1
Simplifying the right-hand side, we get:
e' = 120
This means that the value of e is equal to 120. So the solution to the equation e' = 120 is e = 120.
To find the approximate value of e, we can use a calculator to evaluate the expression. Since e is a variable, we cannot substitute it directly into the calculator. However, we can estimate the value of e by rounding it to a reasonable number of decimal places.
In this case, since e' is given as 120, we can assume that e is also in the same units. So we can round e to the nearest whole number:
e ≈ 120
Therefore, the approximate value of the solution to the equation e' = 120 is e ≈ 120.
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Referring to the figure
find m∠6
Answers
m < 4 is also 30 degree, subtract 30 from 180. Seeing as angles 5 and 6 are the same, the measurements are also the same.
Bandhan Bank employee salary after 10 years
Answers
Answer:
- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries
what is -3 5/6 - 2 3/4
Answers
Answer: -6 7/12 hope this helps
Step-by-step explanation:
Can someone pls explain and do this solution:(
Answers
Given,
SP~QP
SR~QR
In ∆SRP and ∆QRP
SP~QP (given)
SR~QR (given)
PR=PR (common)
Therefore,
∆SRP~∆QRP by SSS congruence rule.
Suppose is differentiable on ℝ and has two roots. Show that ′ has at least one root.
Answers
f'(x) has at least one root
Tasha used the pattern in the table to find the value of 4 Superscript negative 4.
Powers of 4
Value
4 squared
16
4 Superscript 1
4
4 Superscript 0
1
4 Superscript negative 1
One-fourth
4 Superscript negative 2
StartFraction 1 Over 16 EndFraction
She used these steps.
Step 1 Find a pattern in the table.
The pattern is to divide the previous value by 4 when the exponent decreases by 1.
Step 2 Find the value of 4 Superscript negative 3.
4 Superscript negative 3 = StartFraction 1 Over 16 EndFraction divided by 4 = StartFraction 1 Over 16 EndFraction times one-fourth = StartFraction 1 Over 64 EndFraction
Step 3 Find the value of 4 Superscript negative 4.
4 Superscript negative 4 = StartFraction 1 Over 64 EndFraction divided by 4 = StartFraction 1 Over 64 EndFraction times one-fourth = StartFraction 1 Over 256 EndFraction
Step 4 Rewrite the value for 4 Superscript negative 4.
StartFraction 1 Over 256 EndFraction = negative StartFraction 1 Over 4 Superscript negative 4 EndFraction
Answers
The value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.
In the given table, Tasha observed a pattern in the powers of 4. When the exponent decreases by 1, the previous value is divided by 4. Using this pattern, she determined the values for 4 squared, 4 Superscript 1, 4 Superscript 0, 4 Superscript negative 1, and 4 Superscript negative 2.
To find the value of 4 Superscript negative 3, she divided the previous value (StartFraction 1 Over 16 EndFraction) by 4, resulting in StartFraction 1 Over 64 EndFraction.
Similarly, for 4 Superscript negative 4, she divided the previous value (StartFraction 1 Over 64 EndFraction) by 4, yielding StartFraction 1 Over 256 EndFraction.
Finally, to rewrite the value for 4 Superscript negative 4, she expressed it as negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.
Therefore, the value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction, which simplifies to StartFraction 1 Over 256 EndFraction
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In 2011, 51% of cell phone owners in a country reported that their cell phone was a smartphone. The following year, the researchers wanted to test to see if the proportion of cell phone owners in that country who have a smartphone has increased over time at the a = 0.05 level. They surveyed a random sample of 934 cell phone owners in that country and found that 501 of them had a smartphone. They conducted a significance test and found the p-value to be 0.0532. Is there convincing evidence that the proportion of cell phone owners in that country who have a smartphone has increased over time?
Answers
Answer:
The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance
The null hypothesis is accepted at a 0.05 level of significance
The proportion of cell phone owners in that country who have a smartphone has not increased over time
Step-by-step explanation:
Step(i):-
Given that the random sample size 'n' = 934
Given that the population proportion P = 0.51
Q= 1-P
Q = 1- 0.51 = 0.49
The sample proportion
\(p = \frac{x}{n} = \frac{501}{934} = 0.5364\)
Level of significance = 0.05
Critical value Z₀.₀₅ = 1.96
Step(ii):-
Null hypothesis: P < 0.51
Alternative Hypothesis : P > 0.51
Test statistic
\(Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }\)
\(Z = \frac{0.536-0.51}{\sqrt{\frac{0.51 x 0.49}{934} } }\)
Z = 1.5950
Final answer:-
Given that P-value 0. 0532
P-value > 0.05
Rejected Alternative Hypothesis and accepted null hypothesis
( OR)
The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance
The null hypothesis is accepted at a 0.05 level of significance
The proportion of cell phone owners in that country who have a smartphone has not increased over time
Percent | Word Problems
1) Mrs. Smith has covered 50 miles of a 125-mile journey. What percentage of the
journey has been covered by her?
Answers
Answer:
40%
Step-by-step explanation:
50/125×100%
=40%
Mr Smith has covered 40 percent of the journey
Answer:
40%
Step-by-step explanation:
50/125 ×100= 40%
I want you to find the answer
Answers
The value of length BC is 18.9
What is cosine rule?Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
Therefore,
c² = a² + b² - 2abcosC
To find the length BC we use cosine rule.
c² = 13² + 7² - 2(13)(7)cos140
c² = 218 - 182cos140
c² = 218-(-139.42)
c² = 218+139.2
c² = 357.2
c = √357.2
c = 18.9
Therefore, the length of BC is 18.9
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In the triangle, the value of the side BC is 18.9cm to 1 decimal place
How to determine BC?The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
The cosine formula states that
c² = a² + b² - 2abcosC
To find the length BC we use cosine rule.
c² = 13² + 7² - 2(13)(7)cos140
c² = 218 - 182cos140
c² = 218-(-139.42)
c² = 218+139.2
c² = 357.2
c = √357.2
c = 18.9
In conclusion, the value of the length of BC is 18.9cm
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A pair of sneakers is on sale for $85 after 30% off. What is the original price? A. 25.50 B. 55.00 C. 115.00 D. 121.43
Answers
Answer: The answer is D. 121.43
I hope this helps!
Step-by-step explanation:
121.43 x 0.3 = 36.429
Round it up to 36.43
121.43 - 36.43 = 85.00
Rhythm Time sells music online. Last year, its customers downloaded a total of 697,900 songs. This year, they downloaded 467,593 songs. What is the percent of decrease in annual downloads?
Answers
Answer:
-32.9985652798%
Step-by-step explanation:
A tent is in the form of a right circular cylinder surmounted by a cone. The volume of the tent can be modeled by the function V(r) = 8πr2 + πr3, where r is the radius in feet. For what value of r does the tent have a volume of 311 ft3?
Answers
Answer:
Check this explaination below
Step-by-step explanation:
Check the attached picture
help please!! m=5 and n=2. 2m-5n!
Answers
Step-by-step explanation:
so, what's the problem ?
it's all there, we only need to take the calculator (or simply our heads) and do the calculation :
2×5 - 5×2 = 10 - 10 = 0
you see ? that was all that was needed.
put the given values for the variables into the places of these variables, and then calculate !
that is what variables are for : placeholders for actual values.
A landlord is considering upgrades and repairs, including wood floors, kitchen tile, a new back door, and a repaired garage door. The landlord could do these things himself or hire a contractor. The contractor could finish the job in half the time but would charge more. The landlord wants to leave the choice of whether to actually upgrade the kitchen tile up to the optimization algorithm. How should this constraint be written if he uses the following scheme for decision variables? x1 = contractor works on wood floors x2 = landlord works on wood floors x3 = contractor works on kitchen tile x4 = landlord works on kitchen tile x5 = contractor works on back door x6 = landlord works on back door x7 = contractor works on garage door x8 = landlord works on garage door Group of answer choices x3+ x4≤ 1 x3+ x4= 1 x3- x4= 1 x3- x4≤ 1
Answers
Answer:
x3 + x4 ≤ 1
Step-by-step explanation:
Upgrades considered = wood floors, Kitchen tile, New back door and a repaired garage
The constraint of whether to upgrade the kitchen either by the landlord or by a contractor can be represented with the scheme below:
x3 + x4 ≤ 1
The constraint is written this way because only one scheme can be used at a time i.e when x3 = 1 , x4 = 0 and vice versa. also
note that both x3 and x4 can be = 0. because the upgrade of the kitchen tiles is under probability and the landlord might decide not to upgrade the kitchen tiles hence both schemes ( x3 and x4 ) can be = 0
The 6 games Kelly's team played took a total of 7 hours. How many minutes total did they play softball?
Answers
1 hour = 60 minutes
60 times 7 would be 420
At 1:00 pm, Ryan realizes his computer has been unplugged. He needs to work on the computer in his car and wants it to be fully charged. The image on the right represents the time it took for the laptop to charge.
Resources:
Desmos Guide
Regression tool
Line of Best Fit Video
When can Ryan expect his laptop to be fully charged? Do a quick estimate and explain your reasoning.
He does a quick calculation at 1:17 and estimates the computer charges 1% a minute. He estimates it will be fully charged by 2:30. Was he right?
Was his prediction over or under?
Graph all the data points. Draw an original graph or use a digital graphing calculator. Hint: First, convert the minutes to decimals then create a table of values.
Use the regression tool on Desmos (see the Desmos guide) to graph the points on a line, or draw your own. Write a line of best fit in the form y = mx + b.
Based on the line of best fit, when will the computer be fully charged?
Was your first estimate correct? Why do you think Ryan's first estimate was not accurate?
Answers
The amount of time it will take for Ryan expect his laptop to be fully charged by following the example on the image attached.
What is the battery percentage about?16 %= 4m
28%= 15m
37%= 10m
51% = 24m
69% = 34m
81%= 17m
Based on his quick calculation at 1:17 and estimates that it will be fully charged by 2:30 is wrong because when you look at the i]steps above, you will see that it the minute used too charge varies.
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Isaac is working two summer jobs, making $8 per hour walking dogs and making $16
per hour tutoring. In a given week, he can work a maximum of 8 total hours and must
earn no less than $80. If x represents the number of hours walking dogs and y
represents the number of hours tutoring, write and solve a system of inequalities
graphically and determine one possible solution.
Answers
Answer:
8 x 8 =64 + 16 x 8 = 128 =$192
Step-by-step explanation:
A house shaped like an octagon has a large porch, as shown. What is the area of the house
and the porch?
5 feet
5 feet
5 feet
5 feet
House
10 feet
15 feet
Porch
30 feet
Answers
Answer: 875 square feet
Step-by-step explanation: none atm
Which statement describes the relationship between x
and y?
As x increases, y decreases.
QAs x increases, y increases.
O As x increases, y increases and then decreases.
As x increases, y decreases and then increases.
Answers
Answer:
1.) inverse proportion : 1kx = y
2) direct proportion. y = kx
Paxton invests $4850 at 7.6%/a simple interest. If she wants the money to increase to $8000, how long will she need to invest her money?
Answers
Therefore, Paxton will need to invest her money for approximately 21.62 years to increase her investment from $4850 to $8000 at a simple interest rate of 7.6% per year.
To determine how long Paxton needs to invest her money in order for it to increase to $8000, we can use the formula for simple interest:
I = P * r * t
Where:
I = Interest earned
P = Principal (initial investment)
r = Interest rate per year (expressed as a decimal)
t = Time (in years)
Given that Paxton invests $4850 at an interest rate of 7.6% per year, we have:
4850 * 0.076 * t = 8000
Simplifying the equation:
369.8t = 8000
To find t, we divide both sides of the equation by 369.8:
t ≈ 8000 / 369.8 ≈ 21.62 years
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Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A ferret weighs 2.1 pounds and costs $3.40 per week to feed, while a Labrador Retriever weighs 70 pounds and costs $7.50 per week to feed. Using weight as the explanatory variable, what is the slope of the line between these two points? Answer choices are rounded to the nearest hundredth.
$.06 / lb.
$16.56 / lb.
$1.73 / lb.
$1.62 / lb.
Answers
The slope of the line between these two points is $.06 / lb which is defined as the ratio of vertical extrade among points, the rise, to the horizontal extrade.
The slope is described because the ratio of the vertical extrade among points, the rise, to the horizontal extrade among the equal points, the run. . A slope with a extra absolute price shows a steeper line. The course of a line is both increasing, decreasing, horizontal or vertical. If a line is horizontal the slope is zero.
Let X1 = 2.1 pounds, Y1 = $3.4 and
X2 = 70 pounds, Y2 = $7.5
ΔX = 70 - 2.1 = 67.9
ΔY = 7.5 - 3.4 = 4.1
Slope (m) = ΔY / ΔX
= 4.1 / 67.9
= 0.060382916053019
= 0.06 (Rounded)
Therefore, answer is Option $.06 / lb.
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please
\(2x {}^{2} + 2y {}^{2} - 6y - 12y = 3 \)
I need help
Answers
![please [tex]2x {}^{2} + 2y {}^{2} - 6y - 12y = 3 [/tex]I need help](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/0X88LdBuMwIAUWxByc8exEH7JSTCTQBj.png)
HELP PLEASE!!
Quadrilateral CDEF is a rhombus. What is m
Answers
Answer:
∠ BDC = 29°
Step-by-step explanation:
the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then
∠ BCD = ∠ BED = 61°
• the diagonals are perpendicular bisectors of each other , then
∠ CBD = 90°
the sum of the 3 angles in Δ BCD = 180°
∠ BDC + ∠ CBD + ∠ BCD = 180°
∠ BDC + 90° + 61° = 180°
∠ BDC + 151° = 180° ( subtract 151° from both sides )
∠ BDC = 29°
Cuantos paquetes de 10 vasos ocupo para empacar 1367 vasos
Answers
Queremos encontrar y resolver una expresion algebraica para ver cuantos paquetes necesitamos para empacar los vasos.
La solución es 137 paquetes.
Veamos como obtener la solución.
Cada paquete puede sostener 10 vasos, y tenemos un total de 1367 vasos.
Entonces lo que debemos ver es cuantos grupos de vasos tenemos en 1367, esto será simplemente el cociente entre 1367 y 10.
1367/10 = 136.7
El problema ahora es que no podemos sar un 0.7 de un paquete, así que debemos redondear esto al proximo número entero, que es 137.
Así, podemos concluir que se necesitaran 137 paquetes para empacar los 1367 vasos.
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Determine the value of x 4/5(x+9) - 1/5x=3/5(x+12)
Answers
Answer:
infinite number of solutions
Step-by-step explanation:
\(\frac{4}{5}\) (x + 9) - \(\frac{1}{5}\) x = \(\frac{3}{5}\) (x + 12)
multiply through by 5 to clear the fractions
4(x + 9) - x = 3(x + 12) ← distribute parenthesis on both sides
4x + 36 - x = 3x + 36
3x + 36 = 3x + 36
since both sides are the same then any value of x will make the equation true.
Thus there are an infinite number of solutions
Match the numbers with the correct label.
Answers
Answer:
a = 1/7b = 0.2c = 3/9Step-by-step explanation:
Converting all fractions to decimal (for easier comparison) :
0.21/7 = 0.143/9 = 0.33Hence,
First point (a) = 1/7Second point (b) = 0.2Third point (c) = 3/9What is the answer to 3ab + 3ac
Answers
Answer: 3ab + 3ac
Step-by-step explanation: Although the terms in this problem look like one another, there are no like terms.
Therefore, this problem cannot be simplified.
So the answer is the same as the question.
My service plan is $69.99 before taxes. I live in an area where there is a 6.5% sales tax. How much will my bill be?"
Answers
The total bill amount including sales tax of 6.5% will be $74.54.
How to calculate The total bill amountTo calculate the total bill amount including sales tax, we need to add the tax amount to the original cost.
First, we need to calculate the amount of sales tax on the service plan:
Sales tax amount = 6.5% of $69.99
Sales tax amount = 0.065 x $69.99
Sales tax amount = $4.55 (rounded to two decimal places)
Next, we add the sales tax amount to the original cost of the service plan:
Total bill amount = $69.99 + $4.55
Total bill amount = $74.54
Therefore, the total bill amount including sales tax will be $74.54.
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