Solve for n. 7^n= 3^n

The quantity of ribbon that Ali started with was 16/21 feet, based on the mathematical operation of addition.

The basic mathematical operations include addition, subtraction, division, and multiplication.

In the addition operation, two or more addends are added to obtain a result called the sum or total using the equation symbol (=) and the addition operand (+).

The quantity of ribbon attached to the rearview mirror = 2/7

The remaining quantity of ribbon after the attachment = 10/21

The quantity of ribbon Ali started with = 16/21 (2/7 + 10/21)

Thus, using the addition operation, we can conclude that Ali started with 16/21 feet of ribbon.

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Answer:

4.5 hours

Step-by-step explanation:

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Answer:

Basically You are asking how many hours we need to reach 7:00, if we are at 2:30, so: we need 4hours, to reach 6:30, and and extra 30minutes to reach 7:00pm. The answer is 4hours and 30minutes.

Answer:

Step-by-step explanation:

Answer:GIVE A BETTER DETAILED QUESTION sorry for caps

Step-by-step explanation:

Answer:

answer is 6/25

Step-by-step explanation:

6/25 x 100% = 24%

Answer:

6/25

Step-by-step explanation:

24% = 24/100 = 6/25 = 0.24

Answer:

y=2x+3

Step-by-step explanation:

Answer:

a) 0.1587 = 15.87% probability that a battery will break down during the warranty period.

b) The expected profit of the auto store on a battery is of $15.239.

c) The expected monthly profit on batteries if the auto store sells an average of 500 batteries a month is of $7,619.50.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The life of batteries is known to be normally distributed with a mean and a standard deviation of 40 and 16 months, respectively.

This means that \(\mu = 40, \sigma = 16\)

a. What is the probability that a battery will break down during the warranty period?

Two year warranty, that is, 24 months. This probability is the pvalue of Z when X = 24. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{24 - 40}{16}\)

\(Z = -1\)

\(Z = -1\) has a pvalue of 0.1587.

0.1587 = 15.87% probability that a battery will break down during the warranty period.

b. What is the expected profit of the auto store on a battery?

1 - 0.1587 = 0.8413 probability of a profit of $20.

0.1587 probability of a loss of $10. So

\(E = 0.8413*20 - 0.1587*10 = 15.239\)

The expected profit of the auto store on a battery is of $15.239.

c. What is the expected monthly profit on batteries if the auto store sells an average of 500 batteries a month?

Multiplying the average for a battery by 500. So

15.239*500 = $7,619.50

The expected monthly profit on batteries if the auto store sells an average of 500 batteries a month is of $7,619.50.

The total surface area of the given solid is 256 inch²

Surface area is the measure of the total area that the surface of an object occupies. It is usually expressed in square units, such as square meters, square centimeters, or square feet.

Here in this problem take the surface of the solid as the number of faces and calculate the area of each face as shown below.

Here we have

Solid box with dimensions 4 in, 5 in, and 8 in

The surface of the given solid can be divided as given in the picture

The surface area of the shape = Sum of areas of [ 1 to 12 faces ]

Area of (1, 2, 3, 7, 8, 9 faces ) = 6 (4 × 4 )= 96 inch²  

Area of (4, 5, 6, 10, 11, 12 faces ) = 6 (5 × 4) = 120 inch²    

Area of bottom = (8 × 5) = 40 inch²  

Total Surface area = [ 96 + 120 + 40 ] = 256 inch²

Therefore,

The total surface area of the given solid is 256 inch²

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The missing values in the quantitative reasoning given are : -2, 13 and 9

Given the rule :

We can deduce that :

For the left circle :

circle = -6 - (-4) = -6 + 4 = -2

For the right circle :

circle = 11 - (-2) = 11 + 2 = 13

For the left square :

square = 13 + (-4)

square = 13 -4 = 9

Therefore, the missing values are : -2, 13 and 9

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The required dimension are

length = 48 cm

width = 80 cm

What is Area?

Region bounded in a curve is known as area.

Let the length be x cm.

Width = 3840/x cm

New Length = x - 12 cm

New Width = 3840/x - 20 cm

Printed Area = (x - 12) (3840/x -20)

                     = (x-12) (3840 - 20x) / x

Let us differentiate area with respect to time to get critical value of x :

\(\frac{dA}{dx} =\frac{46080}{x^2} -20\)

Put it equal to 0,

we get x = 48 and -48

x = -48 is not possible.

So, x = 48

Hence,

The required dimension are

length = 48 cm

width = 80 cm

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Answer:

-

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Step-by-step explanation:

This is a circle with center, h,k = 3,2 and radius = 2

   circle equation is   ( x-h)^2 + (y-k)^2 = r^2

so:

(x-3)^2 + (y-2)^2 = 4

Answer:

7kg

Step-by-step explanation:

sana maka help pa follow nalang

Answer:

1/2 is the answer.................

Answer:

C. 2/3

Step-by-step explanation:

An equivalent ratio refers to an equal fraction to 1/4. To obtain an equivalent ratio, we have to multiply each part of the fraction by the same number. For example, if we multiply with 5, we get the following

The value of the tenth term of the arithmetic sequence will be negative 34.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The first term of an a.p is 29 and the 7th term is -13. Then the common difference between the successive term is given as,

a₇ = a₁ + (7 - 1)d

-13 = 29 + 6d

d = -7

Then the value of the tenth term of the arithmetic sequence will be given as,

a₁₀ = a₁ + (10 - 1)(-7)

a₁₀ = 29 + 9(-7)

a₁₀ = 29 - 63

a₁₀ = -34

The value of the tenth term of the arithmetic sequence will be negative 34.

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The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

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Answer:

p(B) = 4/32 = 1/8

p(G) = 6/32 = 3/16

The equivalent expressions to \(24^{-7}\) are given as follows:

C. \(\left(\frac{1}{24^{-7}}\right)^{-1}\)

F. \((24^3 \times 24^4)^{-1}\)

Equivalent expressions are expressions that have the same value for all possible values of the variables. In other words, equivalent expressions are different ways of writing the same mathematical idea.

The exponent in the denominator can be moved to the numerator with the changed signal, hence:

\(\left(\frac{1}{24^{-7}}\right)^{-1} = (24^7)^{-1}\)

Applying the power of power rule, we multiply the powers, hence:

\((24^7)^{-1} = 24^{-7}\)

When two terms with the same base and different exponents are multiplied, we add the bases and keep the exponents, hence:

\((24^3 \times 24^4)^{-1} = (24^7)^{-1} = 24^{-7}\)

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The total surface area of below figure is 77 inch²

Surface area is a measurement of the total area that the surface of an object occupies. It is typically expressed in square units, such as square meters or square feet. The surface area of an object can be determined by adding up the areas of all of its individual faces or surfaces.

For example, the surface area of a cube can be calculated by finding the area of each face (which is the length of one side squared) and then adding all of those areas together. The formula for the surface area of a cube is 6a², where "a" represents the length of one side.

For the given figure the surface area is the sum of two triangle and one rectangle is;

SA = SA₁ + SA₂ + SA₃

SA = \((\frac{1}{2}* 3 *4 )+ (\frac{1}{2}* 3 *4 ) + (13*5)\)

SA = 6 + 6 + 65

SA = 77 inch²

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Complete question-

The product of the integer numbers 235 and 617 is rounded off only one non-zero digit will be 200,000.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The integer numbers are shown below.

235 and 617

The product of the integer numbers will be given as,

⇒ 235 × 617

⇒ 144,995

If the integer number is rounded off, then the integer number will be

⇒ 145,000

⇒ 150,000

⇒ 200,000

The product of the integer numbers 235 and 617 is rounded off only one non-zero digit will be 200,000.

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The correct statement is;

False,  because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be  x = 2π/3 + 2nx and x = 4π/3 + 2nx.

Option D

From the information given, we have that;

All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx

There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx

Such that n is an integer.

This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.

The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.

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The approximate amount of rotations it would take the monster truck to travel one mile is 1260 rotations.

Now, Based on the tire experiment, it will take fewer rotations for a monster truck with 6ft (which is 72 inches) tires to travel one mile compared to the other 3 tires from before.

This is because larger tires have a greater circumference, which means they are able to cover more distance with each rotation.

Hence, For calculate the approximate amount of rotations it would take the monster truck to travel one mile, we need to use the formula:

Number of rotations = Distance traveled / Circumference of the tire

Since the distance traveled is one mile, which is equal to 5280 feet, we need to convert the tire diameter from feet to inches, and then calculate the circumference:

Hence, We get;

Circumference = π x Diameter Circumference

                        = 3.14 x 72 Circumference

                        = 226.08 inches

Now, we can calculate the number of rotations:

Number of rotations = 5280 feet / (12 inches/foot x 226.08 inches/rotation)

Number of rotations = 5280 / 2712.96

Number of rotations ≈ 1.947 rotations

or ≈ 1260 rotations per mile

Therefore, the approximate amount of rotations it would take the monster truck to travel one mile is 1260 rotations.

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Answer:

Step-by-step explanation:

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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Answer:

B = -8t + 80

Step-by-step explanation:

An equation for B, in terms of t, representing the charge remaining in Sarah's battery is B=-8t+80.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, cell phone was 80% charged and it then started to lose 8% charge for each hour thereafter.

Let the charge remaining in Sarah's battery be B and the number of hours be t.

Now, equation is B=-8t+80

Therefore, an equation for B, in terms of t, representing the charge remaining in Sarah's battery is B=-8t+80.

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