Francesca needs to buy 7 1/5 feet of packaging tape. There are 1 1/5 feet of tape on
ach roll. How many rolls of tape should Francesca buy?
Write your answer as a fraction or as a whole or mixed number.
rolls of tape

Answer:

x = 6.0139

Step-by-step explanation:

1) think of the first side of the equation as: 6^(8/2) - simplify by dividing the 8 by 2 to get 6^4.

2) The Equation now is 6^4 = 216x - 3, turn 6^4 into 1296 and add 3 to both sides to get 1299 = 216x.

3)Divide both sides by 216 to get x = 6.0139 (which is approximately close to 6 but technically plugging the answer into the equation in step 2 would yield 1296 = 1296).

Answer:

-9

Step-by-step explanation:

\((\sqrt{6}) ^8^{x} = 216^x^{-3}\)

step one: create equal bases

\(6^{1/2} (^8^{x} )\)

\(6^3 =216\)

so it would be

\(6^{1/2} (^8^{x} ) = (6^3)^x^{-3}\)

\(6^{4x} = (6^3)^{3x-9}\)

the bases cancel out leaving:

\(4x=3x-9\)

Step 2: Solve for the variable

\(4x=3x-9\)

subtract 3x from each side

leaving x = -9

Answer:

The prime factors of the greatest 4 digit number are 3, 11 and 101.

Step-by-step explanation:

Hope it helps

The derivatives for this problem are given as follows:

a) \(f^{\prime}(x) = -4\sin{x} + \frac{1}{x + 1}\)

b) \(f^{\prime}(x) = \sec{x}\tan^{2}{x} + \sec^3{x}\).

The derivative of the sum is the sum of the derivatives.

In this problem, the function is:

\(f(x) = 4\cos{x} + \ln{(x + 1)}\)

Using a derivative table for the derivatives of the cosine and the ln, the derivative of the function is:

\(f^{\prime}(x) = (4\cos{x})^{\prime} + (\ln{(x + 1)})^{\prime}\)

\(f^{\prime}(x) = -4\sin{x} + \frac{1}{x + 1}\)

What is the product rule?

The derivative of the product is given as follows:

\((f(x) \times g(x))^{\prime} = f^{\prime}(x)g(x) + g^{\prime}(x)f(x)\)

In this problem, we have that:

Hence the derivative is:

\(f^{\prime}(x) = \sec{x}\tan^{2}{x} + \sec^3{x}\).

More can be learned about derivatives at https://brainly.com/question/2256078

#SPJ1

Answer:

x = 5

Step-by-step explanation:

assuming you mean the slope of the line id undefined and passes through (5, 0 )

A line with an undefined slope is a vertical line parallel to the y- axis with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (5, 0 ) with x- coordinate 5 , then

x = 5 ← equation of line

Answer:

1/35

Step-by-step explanation:

We can use proportion.

5 dresses --- 1/7

1 dress ----      x

x = 1*1/7: 5= 1/7 *1/5 = 1/35

Answer:

90 inches tall

Step-by-step explanation:

5/6 of 12 is 10 so the blocks are 10 inches tall each 10x9 is 90

A sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.

The sequence of vertices ABC(DEF in this question) is clockwise, as is the sequence of A'B'C'(D'E'F in this question). Thus, an even number of reflections is involved, if any reflections are involved. The offered choices do not include suitable reflections.

The orientation of AB(DE) is toward the right. The orientation of A'B'(D'E') is up, so there must be a rotation of 90° CCW. Rotation of 90° CCW about the origin will leave the figure in a position that is 2 units left of where it is shown. The rotation must be followed by a translation 2 units to the right.

Thus, we conclude that a sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.

Read more about Sequence of Transformations at; https://brainly.com/question/4289712

#SPJ1

Answer: 0.25 is the answer welcome!

Step-by-step explanation:

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

Learn more about mathematical operations at https://brainly.com/question/4721701.

#SPJ1

Answer:

The answer is "A"

p < 9

Step-by-step explanation:

The percent of the increase, rounded to the nearest tenth of a percent, concerning the sales of boxes of cookies that Molly sold last month and this month, is 11.5%.

The percentage increase can be determined by finding the difference or the amount of increase in sales.

This difference is divided by the previous month's sales and multiplied by 100.

The total number of boxes of cookies Molly's Scout Troop sold last month = 148

The total number sold this month = 165

The increase = 17 (165 - 148)

Percentage increase = 11.5% (17 ÷ 148 x 100)

Learn more about percentage increases at https://brainly.com/question/28398580.

#SPJ1

Answer:

C) \(\{x|x\neq-4 \:or \:4\}\)

Step-by-step explanation:

\(\frac{x^2+2x-8}{x^2-16}\\ \\\frac{(x+4)(x-2)}{(x+4)(x-4)}\\ \\x\neq-4 \:or \:4\)

Here, \(x\neq-4\) is a hole on the graph since \(x+4\) exists in both the numerator and denominator.

Answer:

c

Step-by-step explanation:

the surface area for spheres is

4 × π × r²

4 × π × (7²) = 196 π

Steve is correct. Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0.

By using a number line, Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0. One temperature is negative and the other is positive, but by adding their distances, he can find the difference. Kelly's method of subtracting -5.1 from the temperature at 12 PM on Wednesday is not necessarily incorrect, but it does not give the exact difference in temperature between the two times. Therefore, using Steve's method, the change in temperature would be the sum of the distance from 0 to the temperature at 7 AM (which is 2.5) and the distance from 0 to the temperature at 12 PM (which is also 2.5), resulting in a difference of 5 degrees.

For more questions on difference in temperature

https://brainly.com/question/18295743

#SPJ11

9514 1404 393

Answer:

  12,566 ft ≈ 2.38 miles

Step-by-step explanation:

The circumference of a circle is given by the formula ...

  C = πd

For a diameter of 4000 ft, the circumference of a circular crater is about ...

  C = (4000 ft)(3.141593) ≈ 12,566 ft

At 5280 ft per mile, that distance is about ...

  (12,566 ft)/(5280 ft/mi) ≈ 2.38 mi

The distance around the crater is about 12,566 ft or 2.38 miles.

Answer:

θ ≈ 40°

Step-by-step explanation:

Since, sinθ = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

cosθ = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)

tanθ = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)

In the picture attached,

Measures of adjacent side and opposite side of the triangle have been given. Therefore, tangent rule will be applied in the given triangle.

tanθ = \(\frac{19}{23}\)

θ = \(\text{tan}^{-1}(\frac{19}{23})\)

θ = 39.56

θ ≈ 40°

The remaining mean is 655, 645 and 515 for AC, BC and CD

How to find mean for given dataset ?

The grossing amounts are,

Movie A = $700 million

Movie B = $680 million

Movie C = $610 million

Movie D = $420 million

And, Sample n = 2

Selection of two movies is

AB , AC, AD, BC, BD, CD

Now, we have to find mean of AC, BC and CD

The mean of AC,

The gross amount of AC

A = $700 million

C = $610 million

mean = (700 + 610) / 2

mean = (1310) / 2

mean = 655

The mean of BC,

The gross amount of BC

B = $680 million

C = $610 million

mean = (680 + 610) / 2

mean = (1290) / 2

mean = 645

The mean of CD,

The gross amount of CD

D = $420 million

C = $610 million

mean = (420 + 610) / 2

mean = (1030) / 2

mean = 515

Therefore, the remaining mean is 655, 645 and 515 for AC, BC and CD

To read more about Mean

https://brainly.com/question/20118982

#SPJ1

To determine when the total cost of each health club will be the same, we can set up an equation and solve for the number of months.

Let's assume the number of months is represented by 'x'.

For Club A, the total cost is given by:

Total cost of Club A = $13 (one-time fee) + $28x (monthly fee)

For Club B, the total cost is given by:

Total cost of Club B = $19 (one-time fee) + $27x (monthly fee)

To find the number of months when the total cost is the same, we set the two equations equal to each other:

$13 + $28x = $19 + $27x

Simplifying the equation, we get:

$28x - $27x = $19 - $13

$x = 6

Therefore, after 6 months, the total cost of each health club will be the same.

To find the total cost for each club after 6 months, we substitute the value of 'x' back into the equations:

Total cost of Club A after 6 months = $13 + $28(6) = $13 + $168 = $181

Total cost of Club B after 6 months = $19 + $27(6) = $19 + $162 = $181

So, the total cost for both Club A and Club B will be $181 after 6 months.

For such more question on equation

https://brainly.com/question/29174899

#SPJ8

The two angles are related in that they are supplementary angles

Supplementary angles would add tuo to 180 degrees according to the angle Theorem.

Adding the two given angles :

These angles are supplementary

The angles aren't vertical in that , vertical angles should have the same vertex. Complementary angles on the other hand add to 90 degrees. While the angles doesn't share the same side, hence, they aren't adjacent.

Hence, the angles are related as they are supplementary angles .

Learn more on angles : https://brainly.com/question/11955149

#SPJ1

Answer:

42

Step-by-step explanation:

Rectangle: A = 6 x 5 = 30

Triangle: A = 1/2(6 x 4) = 12

Area of figure: 30 + 12 = 42

Answer:

i) The bottles of iced tea filled in a plant is the Population

ii) The Average of Population μ = 20 is called Parameter

iii) The sample size 'n' = 50

iv) The mean of the sample 'x⁻ = 19.6 ounces

Step-by-step explanation:-

Population:-

The total number of observations which we are concerned , whether this number be finite or infinite is called Population.

In Given data

The bottles of iced tea filled in a plant is the Population

Parameter:-

The statistical constants of the Population namely mean and variance are usually refereed to as Parameters.

The Average of Population μ = 20 is called Parameter

Sample:-

A sample is a subset of population

given data sample size n=50 bottles at random from the days of production

Statistics

The sample mean x⁻ and variance S² is called statistics

Given data

These bottles contained an average of 19.6 ounces of iced tea

x⁻ = 19.6 ounces

Answer:

A) We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutes

Step-by-step explanation:

x% confidence interval is between a ± b.

a is the sample mean.

b is the margin of error.

Interpretation: We are x% sure that the population mean is between a-b and a+b.

In this question:

96% confidence interval for the mean time that students will require to complete a particular examination. Between 62.4 - 12.6 = 49.8 minutes and 62.4 + 12.6 = 75 minutes.

The correct interpretation is that we are 96% sure that the population mean is in this interval.

So the correct answer is:

A) We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutes

Answer:

The confidence interval for the true mean is given by the following formula:

\(\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}\)   (1)

The confidence interval for this case i given by:

\( 62.4 -12.6 \leq \mu \leq 62.4+12.6\)

\( 49.8 \leq \mu \leq 75.0\)

For this case we can conclude that the true mean for the time that students will require to complete a particular examination is between 49.8 and 75.0 minutes. And the best option for this case by:

A) We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutes

Step-by-step explanation:

The confidence interval for the true mean is given by the following formula:

\(\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}\)   (1)

The confidence interval for this case i given by:

\( 62.4 -12.6 \leq \mu \leq 62.4+12.6\)

\( 49.8 \leq \mu \leq 75.0\)

For this case we can conclude that the true mean for the time that students will require to complete a particular examination is between 49.8 and 75.0 minutes. And the best option for this case by:

A) We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutes

Answer:

x+8y+3

Step-by-step explanation:

Answer: 8y(3+x)

Step-by-step explanation: Correct me if this is wrong but I believe it’s right- Good luck!:)

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

answer:

B. -7x2-2

add the numbers and variables together and combine like terms

Answer: 8,000

Step-by-step explanation: Did it on IXL

Answer:

πr^2 h

π(11)^2 (15)

= 1815π or = 5701