Photo attached please help

Mrs. Grubbs would get more cookie to eat by choosing the 4 smaller cookies with diameter 5 cm each rather than the single cookie with diameter 14 cm.

To compare the amount of cookie Mrs. Grubbs would get by eating a single cookie with diameter 14 cm and 4 smaller cookies with diameter 5 cm each, we need to consider the total area of the cookies.

The area of a cookie with diameter 14 cm can be calculated as follows:

A = πr^2 = π(7 cm)^2 = 49π cm^2

where r is the radius of the cookie.

On the other hand, the area of a single small cookie can be calculated as follows:

A1 = \(πr^2\) = \(π(2.5 cm)^2\)= \(6.25π cm^2\)

where r is the radius of the small cookie.

Therefore, the total area of 4 small cookies is:

A2 = 4A1 = \(4(6.25π cm^2)\) = \(25π cm^2\)

Comparing the two options, we see that the total area of the 4 small cookies is greater than the area of the single large cookie:

A2 > A

\(25π cm^2 > 49π cm^2\)

It's worth noting that this comparison assumes that the thickness or volume of the cookies is the same for both options. If the cookies have different thicknesses, then the comparison would need to take into account the volume of the cookies instead of just the area.

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Answer:

number is 2

Step-by-step explanation:

let the number be n then 8 times the number is 8n, subtract 1 from this and

8n - 1 = 15 ( add 1 to both sides )

8n = 16 ( divide both sides by 8 )

n = 2

that is the number is 2

Answer:

R = ∞

I = (-∞, ∞)

Step-by-step explanation:

Use the ratio test:

lim(n→∞)│aₙ₊₁ / aₙ│

lim(n→∞)│[xⁿ⁺⁶ / (2(n+1)!)] / [xⁿ⁺⁵ / (2n!]│

lim(n→∞)│[xⁿ⁺⁶ / (2(n+1)!)] × (2n! / xⁿ⁺⁵)│

lim(n→∞)│x 2n! / (2(n+1)!)│

lim(n→∞)│n! / (n+1)!││x│

lim(n→∞) (1 / (n+1))│x│

0

The series converges if the limit is less than 1.

The limit is always less than 1, so the radius of convergence is infinite.

So the interval of convergence is (-∞, ∞).

Answer:

80-

Step-by-step explanation:

20 percent (calculated percentage %) of what number equals 16? . well ofc as i said- its 80

Answer:

84

Step-by-step explanation:

To calculate how much 140% of 60 does we need to multiply 60 with 140 then divide it by 100

60 x 140 ÷ 100 = 84

The mean of the sample is 7 when the sample is number 7,5,9,6,8,7.

Given that,

The numbers are 7,5,9,6,8,7.

We have to find the mean of the numbers.

The mean, or average of the given numbers, is calculated by dividing the sum of the numbers by the total number of numbers. Mean is equal to (Sum of All Observations/Total Observations).

In mathematics and statistics, the concept of mean is crucial. The most typical or average value among a group of numbers is called the mean.

The mean is

(7+5+9+6+8+7)/6

42/6

7

Therefore, The mean of the sample is 7 when the sample is number 7,5,9,6,8,7.

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Note that 1ft=12inches

If we are converting 1.30ft to inches, then

Answer:

-10

Step-by-step explanation:

you just count down each line by 2 until you get to the blue point

x=5

Step-by-step explanation:

\(2 x 5 = 10\)

\(5+5=10\)

The rental car is getting approximately 37.56 miles per gallon.

To convert kilometers per liter (km/l) to miles per gallon (mpg), you can use the following conversion factor:

1 km/l ≈ 2.82475 mpg

Therefore, if your rental car is getting 13.3 km/l of gasoline, the equivalent value in miles per gallon would be:

13.3 km/l x 2.82475 mpg ≈ 37.56 mpg

So, your rental car is getting approximately 37.56 miles per gallon.

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Step-by-step explanation:

.

Statistical inference is the process of using data from a sample to make generalizations or draw conclusions about a larger population.

Based on the sample data, assumptions are made about the fundamental traits of the population, and the uncertainty in those assumptions is quantified using statistical techniques.

Because it enables us to forecast the future and make judgements based on incomplete data, statistical inference is crucial. For instance, with a sample of data, it enables us to confidently estimate population parameters such as averages and proportions. This can be helpful in a variety of contexts, including marketing analysis, surveys of public opinion, clinical trials, and manufacturing quality control.

By comparing the results of several groups or treatments, statistical inference also enables us to assess the efficacy of interventions or treatments.This can inform decisions about which treatments are most effective or which interventions should be implemented.

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Answer:

$135

Step-by-step explanation:

Given data

Principal= $1,500

Time= 18 months = 1.5 years

Rate= 6%

The formula for simple interest is given as

SI= PRT/100

Substiute

SI= 1500*6*1.5/100

SI= 13500/100

SI= $135

Hence the simple interest after 18months(1.5 years) is $135

The distance from the center of the Earth to the point where the net gravitational force is zero is one-ninth the distance from the Earth to the Moon.

Let's assume that the distance from the center of the Earth to this point is denoted as x.

Given:

Mass of the Moon (M\(_{moon}\)) = 1/81 × M\(_{earth}\)

Distance from Earth to Moon (d\(_{moon}\)) = distance on center

According to the principle of gravitational equilibrium, the gravitational force from the Earth and the gravitational force from the Moon acting on an object at that point must balance out. Mathematically, we can express this as:

F\(_{earth}\) = F\(_{moon}\)

The gravitational force between two objects can be calculated using Newton's law of universal gravitation:

F \(_{gravity}\)= G × (m₁ × m₂) / r²

Where:

G is the gravitational constant (approximately 6.67430 x 10⁻¹¹m²/kg/s²)

m₁ and m₂ are the masses of the two objects

r is the distance between the centers of the two objects

Considering the gravitational forces involved:

F\(_{gravity}\)\(_{earth}\) = G ₓ (M\(_{EARTH}\)  ₓ m\(_{OBJECT}\)) / (d\(_{earth}\))²

F\(_{gravity}\) \(_{moon}\) = G ₓ (M \(_{moon}\) ₓ m\(_{object}\)) / (d \(_{moon}\))²

Since we are looking for the point where the net gravitational force is zero, we set these two forces equal to each other:

G × (M\(_{earth}\) × m\(_{object}\)) / (d\(_{earth}\))²   =     G × (M \(_{moon}\) × m\(_{object}\)) / (d \(_{moon}\))²

Canceling out the common factors of G and m\(_object}\), and substituting the given values:

(M\(_{earth}\) × 1) / (d\(_{earth}\))² = (M \(_{moon}\) × 1) / (d \(_{moon}\))²

Rearranging the equation:

(d\(_{earth}\))²/ (M\(_{earth}\)) = (d \(_{moon}\))² / (M \(_{moon}\))

Taking the square root of both sides:

d\(_{earth}\) / √(M \(_{moon}\))) = d_moon / √(M \(_{moon}\))

Substituting the given values:

d\(_{earth}\) /√(M\(_{earth}\)) = d\(_{moon}\) / √(1/81 × M\(_{earth}\))

Simplifying further:

d\(_{earth}\)  / √(M\(_{earth}\)) =d\(_{moon}\)  / (1/9 × √(M\(_{earth}\)))

Multiplying both sides by √(M\(_{earth}\)):

d\(_{earth}\) = (1/9) × d\(_{moon}\)

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The algebraic expression for the length of QR​ is 5y+20.

Given that The algebraic expression for the length of PR​ is  13y+25 , The algebraic expression for the length of PQ​ is 8y+5 and asked to find The algebraic expression for the length of QR​.

The algebraic expression for the length of PR​ is  13y+25

PR=PQ+QR

⇒The algebraic expression for the length of PR​ =The algebraic expression for the length of PQ + The algebraic expression for the length of QR

QR=PR-PQ

⇒The algebraic expression for the length of QR=The algebraic expression for the length of PR - The algebraic expression for the length of PQ

⇒The algebraic expression for the length of QR=13y+25 -  8y+5

⇒The algebraic expression for the length of QR=5y+20

Therefore,The algebraic expression for the length of QR​ is 5y+20.

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Answer:

sine 52 degrees = height / 78

height = 78 * sine 52

height = 78 * 0.78801

height = 61.46478 feet

rounded to nearest tenth 61.5 feet

Step-by-step explanation:

Answer:

101430

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the new coordinate of a point after it has been scaled by a factor of 1/2, you can multiply the x- and y-coordinates of the point by 1/2.

For example, to find the new coordinate of point K', you can multiply the x-coordinate of K' (-8) by 1/2 to get the new x-coordinate, and multiply the y-coordinate of K' (8) by 1/2 to get the new y-coordinate. This gives you the new coordinate of K' as (-4,4).

You can use the same method to find the new coordinates of points L' and M'. The new coordinate of L' is (4,4) and the new coordinate of M' is (-2,4).

I hope this helps! Let me know if you have any questions.

We have an odd degree polynomial wit a positive leading coefficient, then the end behavior is:

as x → ∞, f(x) → ∞

as x → -∞, f(x) → -∞

Here we have the function:

f(x) = -10 + 6x^5 + 4x^3

Notice that this is a polynomial of degree 5 (odd degree).

When we have a odd degree polynomial, we know that:

If the leading coefficient is positive, then the end behavior is:

as x → ∞, f(x) → ∞

as x → -∞, f(x) → -∞

If instead, the leading coefficient is negative, then:

as x → -∞, f(x) → ∞

as x → ∞, f(x) → -∞

For the case of:

f(x) = −10+6x^5+4x^3

The leading coefficient is 6, so it is positive, then the end behavior of our function is:

as x → ∞, f(x) → ∞

as x → -∞, f(x) → -∞

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Answer:

a) 4:13

b) 9:13

Step-by-step explanation:

Answer:

it depends on which state your in or in your even in the us usually it is either 6% or 4% some times more or less % so im going to do both

50*0.06=53

50*0.04=52

Hope This Helps!!!

Answer:

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair

Step-by-step explanation:

hope this helps!

Step-by-step explanation:

A set of question on the concept of the function in calculus are presented along with their solutions.These question have been designed to help you gain deep understanding of the concept of the function .

A digit to make the number divisible by 3 is by adding the digit 2 to the number 1234.

To make the number 1234 divisible by 3, we can find the sum of its digits and determine if it is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3.

Let's calculate the sum of the digits in 1234:

1 + 2 + 3 + 4 = 10

The sum of the digits is 10. Since 10 is not divisible by 3, we need to add or subtract a digit to make the sum divisible by 3.

To find the digit we need to add or subtract, we can use the fact that the difference between the original sum and the next multiple of 3 is the required digit.

The next multiple of 3 greater than 10 is 12 (12 - 10 = 2). Therefore, we need to add 2 to the number 1234 to make it divisible by 3.

1234 + 2 = 1236

we obtain the number 1236, which is divisible by 3.

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Answer:

-18

Step-by-step explanation:

-3 × 2 = -6

-6 × 3 = -18

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

To do this, we add and subtract a constant term to the quadratic expression to make it a perfect square.

In this case, we use the formula x² + 2bx + b² = (x + b)² to rewrite the quadratic expression as a perfect square trinomial, and then we solved for the variable by isolating the squared term and taking the square root.

Here we have

- 3x² + 33 = 48x

Keep 'x' terms on one side and constant terms sides on another side

=> - 3x² - 48x = - 33

Divide by - 3 on both sides

=> -3(x² + 4x)/3 = - 33/3  

=> x² + 16x = 11      

Take half of the 'x' term and square it and add on both sides

=> x² + 2(8x) (x) + (8)² = 11 + (8)²  

Which is in the form of x² + 2bx + b² = (x + b)²

=> [x + 8]² = 75

Therefore,

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

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The formula for the volume of a circular cone:

If the height(h) of the circular cone is given then,

V = 1/3 * π * r² * h

If the slant height(l) of the circular cone is given then,

V = 1/3 * π * r² * √(l² - r²)

the volume of a cone if the height is 10 cm and the diameter is 6 cm is 94.25 cubic centimeters

We know that a right circular cone has a circular base with the apex above the center of the base.

For a right circular cone, with radius r and height h

The formula for the volume of a right circular cone is,

V = 1/3 * π * r² * h

We need to find the the volume of a right circular cone with a circumference.

We know that circumference C = 2πr

From circumference we find the radius of circular base.

Then using the formula for the volume of a right circular cone, we find the volume.

The volume of a circular cone:

If the height(h) of the circular cone is given then,

V = 1/3 * π * r² * h

If the slant height(l) of the circular cone is given then,

V = 1/3 * π * r² * √(l² - r²)

Now we need to find the the volume of a cone if the height is 10 cm and the diameter is 6 cm

From diameter, the radius of the circular base of the cone would be,

r = 6/2

r = 3 cm

also, h = 10 cm

So, V = 1/3 * π * 3² * 10

V = 94.25 cu.cm.

Therefore, the volume of a cone if the height is 10 cm and the diameter is 6 cm is 94.25 cubic centimeters

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