Answers
The value of n for the given exponential function is 5/2.
Exponential function:
Exponential function means the function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
Given,
Here we have the exponential function (√7)⁵ = 7ⁿ
Now, we need to find the value of n.
Based on the rule of exponent, we have written the square as 1/2, like the following,
√7 = [tex]7^{\frac{1}{2}}[/tex]
So, when we apply these on the given expression then we get,
(√7)⁵ = [tex](7^{\frac{1}{2}})^5[/tex]
Now, we have to multiply both values on the power then we get,
=> [tex](7^{\frac{5}{2}})[/tex]
When we equate this with the RHS, then we get the value of n as,
[tex]= > (7^{\frac{5}{2}})=7^n[/tex]
Therefore, the value of n is 5/2.
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Related Questions
ANSWERS LESS THAN , GREATER THAN , SAME . PLEASE HELP WILL MARK BRAINLYEST IF YOU REMIND ME AND GIVE ME THE CORRECT ANSWER!!!!!
Answers
Answer:volume of pyramid is equal to the volume of prism
Step-by-step explanation:
A student noticed that when she gets less than 8 hours of sleep at night, she scores lower on her test grades. Can one conclude that this positive correlation shows a casual relationship?
A. Yes, because it is well known that less sleep lowers test scores.
B. Yes, because it is not a negative correlation.
C. No, because all students get less than 8 hours of sleep at night.
D. No, because it is possible that the student gets lower test grades because of another factor, such as not studying.
Answers
D. No, because it is possible that the student gets lower test grades because of another factor, such as not studying.
What are positive and negative co-relations?When two variables behave in unison, rising or falling in lockstep with one another, there is a positive correlation.
When two variables move in opposition to one another—that is, when one rises, the other falls, this is known as a negative correlation.
Given, A student noticed that when she gets less than 8 hours of sleep at night, she scores lower on her test grades.
No, Because it is possible that the student gets lower test grades because of another factor, such as not studying.
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A teacher tells her students she is just over 1 and 1/2 billion seconds old.
A.) Right her age in seconds using scientific notation?
B.) How old is she in years?
Answers
Answer
47.56468797565 in years
Step-by-step explanation:
im not sure what her age is in seconds with scientific notation though sorry :(
B) 47.56 years
It costs $6.25 to purchase 7/8 Ib. of ham. how much does it cost to purchase 2.5 Ibs of ham?
Answers
Answer:
Step-by-step explanation:
0.875/2.5 = 6.25/x
0.875x=15.625
x=$17.85
What is the solution to the system of equations y 1 3x 10 2x y 4?.
Answers
The solution to the system of equations y = 1/3x - 10 and 2x + y = 4 is (6, -8).
What is the system of equations ?A system of equations is a collection of two or more equations with a same set of unknowns.
What is a Subsitution method ?The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
The given system of linear equations are :
y = 1/3x - 10 and 2x + y = 4
On solving two equations by using substitution method, It is given that
[tex]y = \frac{1}{3}x-10[/tex] … (1)
2x + y = 4 … (2)
Substituting (1) in (2)
⇒ [tex]2x + (\frac{1}{3}x-10) = 4[/tex]
By further calculation
⇒ [tex]2x + \frac{1}{3}x - 10 = 4[/tex]
⇒ [tex]2x + \frac{1}{3} x = 4 + 10[/tex]
⇒ [tex]2x + \frac{1}{3} x = 14[/tex]
Taking LCM
⇒ [tex]\frac{(6+1)}{3}x = 14[/tex]
⇒ [tex]\frac{7}{3}x = 14[/tex]
By cross multiplication
⇒ 7x = 14 × 3
⇒ 7x = 42
Divide both sides by 7
⇒ x = 6
Substitute the value of x in equation (1)
[tex]\Rightarrow\ y = (\frac{1}{3} \times (6) - 10)[/tex]
So we get
⇒ y = (2-10)
⇒ y = -8
Therefore, the solution to the system of equations is (6, -8).
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Meredith's new scale measures in both pounds
and kilograms. The information on the box says the
scale has a weight limit of 200 kilograms or 440
pounds.
What is the approximate unit rate of kilo per pound and pound per kilo
Answers
The unit rate of kilo per pound = 0.4545
And the unit rate of pound per kilo = 2.2
Meredith's new scale measures in both pounds and kilograms.
The information on the box says the scale has a weight limit of 200 kilograms or 440 pounds.
We have a weight limit of 200 kilograms or 440 pounds.
We need to find the unit rate of kilo per pound and pound per kilo
The unit rate of kilo per pound would be,
r1 = 200/440
r1 = 0.4545
and a unit rate of pound per kilo would be,
r2 = 440/200
r2 = 2.2
Therefore, The unit rate of kilo per pound = 0.4545
And the unit rate of pound per kilo = 2.2
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All numbers that round to 400 when rounded to the nearest hundred
Answers
A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 35 books. There were twice as many small boxes sent as large boxes, which altogether can hold 225 books. Determine the number of small boxes sent and the number of large boxes sent.
Answers
A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 35 books.
The system of equation will be x+y = 7 and 20x+35y = 225.
Let x be the no of small boxes and y be the no. of large boxes.
Given here each small box can hold 20 books and each large box can hold 35 books.
A total of 7 boxes were sent.
So, x+y = 7.......equation 1
Also given that 7 boxes can hold 225 books altogether.
So, 20x+35y = 225.....equation 2
Hence the system of equation will be x+y = 7 and 20x+35y = 225.
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find the critical value za/2 needed to construct a confidence interval with level 82%. round the answer to two decimal places.
Answers
Using the z table, the critical value [tex]z_{a/2}[/tex] needed to construct a confidence interval with level 82% is 1.34.
In the given question,
We have to find the critical value [tex]z_{a/2}[/tex] needed to construct a confidence interval with level 82%.
The confidence interval is 82%.
We can write 82% as 82/100 and 0.82.
Now the value of
[tex]\alpha[/tex]=1−0.82
[tex]\alpha[/tex]=0.18
Now finding the value of [tex]\alpha[/tex]/2
[tex]\alpha[/tex]/2=0.18/2
[tex]\alpha[/tex]/2=0.09
Now finding the value of [tex]z_{a/2}[/tex].
[tex]z_{0.82}[/tex] = 1.34
Hence, the critical value [tex]z_{a/2}[/tex] needed to construct a confidence interval with level 82% is 1.34.
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In a drawer, there are 10 pairs of socks, 6 of which are white. If you randomly select two pairs of socks,
what is the probability that both are white? Express your answer as a reduced fraction.
Answers
The probability that both selected pairs of socks are white is 1/3.
We have a drawer. The drawer contains 10 pairs of socks. Six out of ten pairs of socks are white. We randomly selected two pairs of socks. We need to find the probability that both selected pairs of socks are white. Let the probability be represented by the variable "P". To select the first pair of white socks, the chances are six out of ten. Once the first pair is selected, the chances of selecting the second white pair of socks are five out of nine.
P = (6/10)*(5/9) = 1/3
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The table represents the amount of money in a bank account each month.
Month Balance ($)
1 3,600.00
2 2,880.00
3 2,304.00
4 1,843.20
5 1,474.56
What type of function represents the bank account as a function of time? Justify your answer.
This is a linear function because there is a common difference in the balance between the months.
This is a linear function because there is a common ratio in the balance between the months.
This is an exponential function because there is a common difference in the balance between the months.
This is an exponential function because there is a common ratio in the balance between the months.
Answers
The type of function that represents the bank account as a function of time is: this is an exponential function because there is a common ratio in the balance between the months.
How to determine the type of function?In order to determine the type of function that models or represents the bank account as a function of time, we would check whether or not there is a common difference or common ratio.
In Mathematics, a linear function is used to model a situation when there exist a constant or common difference between its consecutive terms. On the other hand, an exponential function there is used to model a situation when there exist a constant or common ratio between its consecutive terms.
For the common difference, we have:
d = 1,474.56 - 1,843.20 = -368.64
d = 1,843.20 - 2,304.00 = -460.8
Therefore, the bank account as a function of time is not a linear function.
For the common ratio, we have:
r = 1,474.56/1,843.20 = 0.8
r = 1,843.20/2,304.00 = 0.8
Therefore, the bank account as a function of time is an exponential function.
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Answer:
the bank account as a function of time is an exponential function.
Step-by-step explanation:
Find the equation of the line passing through the given point and parallel to the given line.
( 1 , 9), y = 4
(-1 ,-3), y= 2
(4, -6), y = -5
Answers
Answer:
y = 9, y = - 3 and y = - 6
Step-by-step explanation:
a line with equation y = c is a horizontal line parallel to the x- axis.
c is the value of the y- coordinates the line passes through.
Thus parallel lines must also be horizontal with equation y = c
a line parallel to y = 4 passing through (1, 9 ) with y- coordinate 9 is
y = 9
a line parallel to y = 2 passing through (- 1, - 3 ) with y- coordinate - 3 is
y = - 3
a line parallel to y = - 5 passing through (4, - 6 ) with y- coordinate - 6 is
y = - 6
a) How many edges does a triangular-based pyramid have?
b)
How many faces does a triangular prism have?
c) How many vertices does a cuboid have?
Answers
Triangular pyramids contain four sides, six edges, and four vertices.
What is a pyramid?
A pyramid is a structure with triangular exterior surfaces that converge to a single step at the summit, giving the form the shape of a pyramid in the geometric sense. A pyramid's base can be cooperation agreement, quadrilateral, or any polygon form. As a result, a pyramid has at least three triangular surfaces on its outside (at least four faces including the base). A typical alternative is the squares pyramid, which has a square shape and four triangular exterior surfaces. The design of a pyramid, with the majority of the weight closer to the bottom and the select at the apex, means that less material will be pushed from above. This center of mass enabled early civilizations to build sturdy massive constructions.
Triangular pyramids contain four sides, six edges, and four vertices.
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Which functions have a horizontal asymptote? check all that apply.
Answers
Answer:
This is a incomplete questions.
Step-by-step explanation:
So, is there options or do you do a graph.
Feel free to ask
Answer:
B, C, and E for Edge
Step-by-step explanation:
did it and got it right lol :)
the width of a rectangle is half the length g. write and simplify an expression that represents the perimeter and area of the rectangle
Answers
The perimeter 2a+g unit and area a*g/2 unit² of the rectangle.
What is a rectangle?
Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral,
The area of rectangle is A = a*b
here given is b = g/2unit
The area will be a*g/2 unit²
The perimeter of the rectangle is 2(a+b)
perimeter will be 2(a+g/2) = 2a+g unit
hence the perimeter and area of the rectangle are a*g/2 unit² and 2a+g unit respectively.
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Flaming Fish Emporium sold 15 fish on Monday and then received a shipment of 15 fish on Tuesday. If they started with an inventory of 365 fish on Monday morning, how many fish did they have at the end of the day on Tuesday?
Answers
Answer:
365
Step-by-step explanation:
As the amount of fish the emporium sold and received are the same, the inventory of fish has not changed. Therefore, the emporium has 365 fish at the end of the day on Tuesday.
Monday morning: 365 fish
After Monday's sales: 365 - 15 = 350 fish
Tuesday morning: 350 fish
After Tuesday's shipment: 350 + 15 = 365 fish
Answer:
End of Tuesday = 365 fishes
Step-by-step explanation:
Fishes in inventory,
→ n = 365 fishes
Let's take it as,
→ Monday (x) = 15
→ Tuesday (y) = 15
Forming the expression,
→ (n - x) + y
Let's solve the expression,
→ (n - x) + y
→ (365 - 15) + 15
→ 350 + 15
→ 365 fishes
Hence, there are 365 fishes.
A rectangle is drawn so that the width is 5 feet shorter than the length. The area of the rectangle is 6 square feet. Find the length of the rectangle.
Answers
Answer:
Step-by-step explanation:
v1 v2
x1
- x2
Answer: 6, the answer is 6
Step-by-step explanation:
Mark says that the expression 2+3 is a binomial since it had two terms. Layla says that it is a monomial since 2+3=5,and 5 is just one term. Who is correct
Answers
The given expression in monomial. 2+3 is a monomial as it will give 5 which has only one degree. Layla is correct
What is monomial?
When an expression has only one similar like term of all the terms are of same degree then it is known as Monomial. When there are two distinct terms then it is said to be binomial.
We Are given an expression 2+3
Now both the number 2 and 3 have degree 0
Hence we can add them directly hence it become 5 which again has a degree 0 only
Hence it is a monomial term
Therefore Layla is correct
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QUICK HELP NEEDED PLEASE NOW
Answers
Answers
211 children went on a picnic. Each child drank 400 milliliters of pineapple juice. How many liters were consumed altogether?
Answers
84.4 liters were consumed.
Step-by-step explanation:211 x 400 = 84400
In total 84400 milliliters were consumed
1000 milliliters are in one liter
So that means 84.4 liters were consumed.
Find the slope and y-intercept of each graph
Answers
Answer:1. m=1 3. m=1/3
Step-by-step explanation: your slope on number one was wrong it is 1. the slope on question 3 is 1/3. subtract two of the x-values. then subtract two y-values. they do not have to correspond with the x-values. the x will be your numerator the y your denominator. simplify the fraction
LIBERTY
$1
10
FEDERAL RESERVE NOTE
THE UNITED STATES OF AMERICA
K
H88750416A
10 Catika kund
H88750416A
ONE
Zachen 7. Buy 10
10
2
Answers
Answer:
Step-by-step explanation:
$1.65
(2.979 x 10^3) - (9.9 x 10^2)
Answers
Answer: -39.57
Step-by-step explanation:
Steps:
2.979x10-9.9) x 10^2
(29.79-9.9) x 10^2
19.89 x 100
i’ll give out sm points if u do this for me with the work!!
Answers
The value of "x" in the given triangles is 17.
We are given a triangle, ΔABC. The midpoint of the side AC is denoted by D. The midpoint of the side BC is denoted by E. The midpoints D and E are joined by a line segment. The line segment DE is parallel to the side AB. The triangles ΔABC and ΔDEC are similar triangles. The lengths of the sides of the triangle ΔDEC are half those of ΔABC. The ratio of the lengths of DE and AB is 1/2.
DE/AB = 1/2
(3x - 4)/(9x - 59) = 1/2
6x - 8 = 9x - 59
51 = 3x
x = 17
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Sam ran 63,756 feet in 70 minute. What i am' rate in mile per hour? (There are 5,380 feet in one mile. )
Answers
The rate of Sam in miles per hour is 10.13.
Based on the relation between the units feet and mile, firstly converting the distance in miles.
5380 feet = 1 mile
So, 63,756 feet = 63,756 ÷ 5380
Performing division to calculate the distance in miles
63, 756 feet = 11.85 miles
Now converting the time in hour. As per the known fact, 60 minutes = 1 hour
So, 70 minutes = 70÷60
70 minutes = 1.17 hours
Now, finding the rate in miles per hour = number of miles ÷ amount of time
Rate in miles per hour = 11.85 ÷ 1.17
Performing division on Right Hand Side of the equation
Rate in miles per hour = 10.13
Thus, the rate is 10.13 miles per hour.
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please help
Given △ C AT ≅ △DOG, m∠C = 25° , and m∠O = 37° , what is the measure of ∠G?
enter your answer in the box.
m∠G = __°
Answers
Answer:
m∠G = 118°
Step-by-step explanation:
The congruence statement that says:
△CAT ≅ △DOG,
says not only that the triangles are the same shape and size, it also says //which// angles (and sides) are conguent.
Angle C and Angle D are the same. Angle A and Angle O are the same. And Angle T and Angle G are the same.
So in △CAT, Angle C is 25° and Angle A (same as O) is 37°.
Also, all the angles in a triangle add up to 180°.
25° + 37° + T = 180°
62° + T = 180°
T = 118°
And T corresponds to G, so AngleG is also 118°.
A cell phone is on sale at $35 more than half of the regular price. The sale price is $140. Determine the regular price.
Answers
The regular price for the cell phone is $210
How to calculate the price?From the information given, the cell phone is on sale at $35 more than half of the regular price and the sale price is $140.
Let the regular price be represented as x.
This will be illustrated as:
1/2x + 35 = 140
0.5x + 35 = 140
Collect like terms
0.5x = 140 - 35
0.5x = 105
Divide
x = 105 / 0.5
x = 210
The regular price is $210.
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What is the degree of the polynomial? 3pq⁴-2p²q+q³
Answers
The degree of that polynomial is 5
What is the Degree of Polynomial?
The degree of polynomial is the highest degrees of individual term.
The first is to find each term.
The term is 3[tex]p[/tex][tex]q^{4}[/tex], 2[tex]p^{2}[/tex][tex]q[/tex], and [tex]q^{3}[/tex] (or can also be written as 3[tex]p^{1}[/tex][tex]q^{4}[/tex], 2[tex]p^{2}[/tex][tex]q^{1}[/tex], and [tex]p^{0}[/tex][tex]q^{3}[/tex]
The next step is to add up the exponents for each term and select the highest result.
3[tex]p^{1}[/tex][tex]q^{4}[/tex] : 1+4 = 5
2[tex]p^{2}[/tex][tex]q^{1}[/tex] : 2+1 = 3
[tex]p^{0}[/tex][tex]q^{3}[/tex] : 0+3 = 3
Therefore the degree of polynomial is 5
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Trey believes that 1/3 written as a decimal is the terminating decimal 0.3. Lilly believes that 1/3 written as a decimal is is the repeating decimal 0.33333…. Who is correct?, explain your reasoning.
Answers
Answer:
Lily is correct.
Step-by-step explanation:
Because 0.3 is out of a part that is split into 10 parts.
Write an equation of a line that is
parallel to y = 1/3x + 5 and goes
through (3,5)
A) y = -3x + 14
B) y = 1/3x + 4
C) y = 1/3x + 4/3
D) y = 3x + 1
E) y = 1/2x + 7/2
Answers
Answer:
Step-by-step explanation:
We'll look for an equation in the format y = mx + b where m is the slope and b the y-intercept. A characteristic of parallel lines is that they have the same slope. That means the same value of m for both equations.
The reference equation is y = 1/3x + 5, It has a slope of (1/3). This means the new line will also have a slope of (1/3), and so we can write:
y = (1/3)x + b
Any value of b will result in a parallel line to y = 1/3x + 5. But the new line comes with the requirement that it go through point (3,5). That's easily done if we choose the correct value for b, the y-intercept. We could graph the line to visually determine what value of b will make the line go through this point, or we can simply enter the given point in the above equation and solve for b:
y = (1/3)x + b (for point (3,5)
5 = (1/3)(3) + b
5 = 1 + b
b = 4
A b value of four will shift the line so that it intersects (3,5). See the attached graph.
