Determine the distance between the points (-5, -3) and (3, 1).

Answer:

y=29x+50; 30 months

Step-by-step explanation:

$920-50=870

870/29=30

Answer:

c=29m+50

30 months

Step-by-step explanation:

If you pay $29 per month, (using m as the variable), the equation would be 29m. Since there is a one-time fee of $50, we add that once. Your equation is c=29m+50. (Assuming the variable for months is m)

If you paid 920$ dollars, first we need to subtract your $50 one time fee. 920-50=870. Since you paid $29 per month, divide 870 by 29. The answer is 30. This means you were a member of the gym for 30 months.  

Which is the best example of a scientific discovery resulting from new technology?

the discovery that elements can be grouped in a table on the basis of their properties

the discovery of atomic structure which led to the development of an electron microscope

the discovery of the structure of DNA, which occurred as the result of an X-ray image of a DNA molecule

the discovery that plant pigments can be separated and identified by using paper and a solvent

Recall that to determine if a table represents a probability distribution, the sum of the probabilities must add up to 1, and all the probabilities have to be positive numbers less or equal to 1.

Now, notice that:

From the table, we notice that all the given probabilities are positive numbers between 0 and 1. Therefore, we can conclude that the given table represents a probability distribution.

Yes, it is a probability distribution.

To determine the cost of trimming the base of the entire cake, we need to calculate the circumference of the base and then multiply it by the cost per inch of trim. Answer :  $16.46

The circumference of a circle can be calculated using the formula 2πr, where r is the radius of the circle. In this case, the radius is 3.5 inches. Therefore, the circumference of the base is 2π(3.5) = 7π inches.

Next, we multiply the circumference by the cost per inch of trim, which is $0.75.

Cost = 7π inches * $0.75/inch

To get the cost rounded to the nearest cent, we can calculate the value using the approximation of π as 3.14.

Cost = 7 * 3.14 * $0.75 ≈ $16.46

Therefore, it would cost approximately $16.46 to trim the base of the entire cake.

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Answer:

13/20

Step-by-step explanation:

Answer: It end in the hundredth place, so you have to write 65/100

65/100 simplifies to 13/20.

Step-by-step explanation: hope this helps

The probability of being attacked by a bear within the next 20 years is approximately 0.00494.

To calculate the probability of being attacked by a bear within the next 20 years, we can use the concept of independent events.

Given that the probability of being attacked by a bear on a single camping trip is P = 0.25 x 1\(0^(^-^6^)\) (which we can represent as P = 0.25e-6), and assuming that each camping trip is independent, we can use the complement rule to calculate the probability of not being attacked on a single trip as (1 - P).

Since the trips are independent, the probability of not being attacked on any of the 20 trips is (1 - P) raised to the power of 20. Therefore, the probability of being attacked by a bear at least once within the next 20 years is equal to 1 minus the probability of not being attacked on any of the trips.

Let's calculate the probability:

P_not_attacked_on_trip = 1 - P

P_not_attacked_in_20_years = (P_not_attacked_on_trip\()^2^0\)

P_attacked_in_20_years = 1 - P_not_attacked_in_20_years

Substituting the given value for P:

P_not_attacked_on_trip = 1 - 0.25e-6

P_not_attacked_in_20_years = (1 - 0.25e-6\()^2^0\)

P_attacked_in_20_years = 1 - (1 - 0.25e-6\()^2^0\)

Now we can calculate the probability:

P = 0.25e-6

P_not_attacked_on_trip = 1 - P

P_not_attacked_in_20_years = (P_not_attacked_on_trip) ** 20

P_attacked_in_20_years = 1 - P_not_attacked_in_20_years

print("Probability of being attacked by a bear within the next 20 years:", P_attacked_in_20_years)

The probability of being attacked by a bear within the next 20 years, given the provided probability of 0.25 x 1\(0^(^-^6^)\)per trip, will be printed.

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Solution:

Given the figure below:

To evaluate the diameter of the planetarium, we have

where OD is the radius.

step 1: In the triangle OAD, identify the sides.

Thus,

step 2: Evaluate OD, using trigonometric ratios.

From trigonometric ratios:

In this case, θ is 30, adjacent is 33.

Thus,

step 3: Evaluate the diameter of the planetarium.

The diameter is evaluated as

Thus, the diameter of the planetarium, in ft, is

When the sum of the squared deviation scores is SS=20 for a population n=5 scores, then the variance for this population is 4

Given,

The sum of the squared deviation scores SS= 20

Population of n= 5

Then the variance = SS/n

Substitute the values in the equation

The variance = \(\frac{20}{5}\)

=4

Hence, when the sum of the squared deviation scores is SS=20 for a population n=5 scores, then the variance for this population is 4

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The ponderal index cannot be computed without the value of the constant "a" in the formula. Therefore, the ponderal index for a person who is 76 inches tall and weighs 192 pounds cannot be determined.

To compute the ponderal index, we need the formula and the value of the constant "a."

a) The formula for the ponderal index is given as I = a, where I represents the ponderal index and a is a constant. However, the value of the constant "a" is missing in the provided information. Without knowing the value of "a," we cannot compute the ponderal index for a person who is 76 inches tall and weighs 192 pounds.

b) Similarly, without knowing the value of the constant "a," we cannot determine the weight of a man who is 77 inches tall and has a ponderal index of 11.56.

To compute the ponderal index or determine the weight, we need the specific value of the constant "a" in the given formula.

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Answer:

Step-by-step explanation:

Take the two equations and equal them together (2.35 + 0.25x = 1.75 + 0.40x) 2. isolate x onto one side by canceling out (2.35 (- 1.75) + 0.25x (.25x) = 1.75 (-1.75) + 0.40x (.25x) ) 3. get what X equal (x=4) 4. plug the new value of x (4) into ONE of the equations (2.35 + 0.25(4) ) 5. get your answer (3.35)

Answer:

5/7

Step-by-step explanation:

5x-7y=14

-7y=14-5x

y=-2+5/7x

y=5/7x-2

This slope is 5/7. This is because in the standard form of a line (y=mx + b), m represents the slope. In the equation above, 5/7 is the slope.

Answer:

57-48

Step-by-step explanation:

9

Answer: 9

Step-by-step explanation:

Answer:

surface area = 6a^2 = 6

hence are = 6 unit.sq

Answer:

cant say you dont show

Step-by-step explanation:

id love to help but like send a picture next time

By Cavalieri's Principle, the volume of that slanted cylinder will be the same volume of a non-slanted cylinder with the same altitude.

so we have a cylinder with a radius of 3 and a height of 7 and a cone hitching a ride on it, with a radius of 3 and a height of 3, so let's simply get the volume of each.

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=7\\ r=3 \end{cases}\implies V=\pi (3)^2(7) \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=3\\ r=3 \end{cases}\implies V=\cfrac{\pi (3)^2(3)}{3} \\\\[-0.35em] ~\dotfill\\\\ \pi (3)^2(7)~~ + ~~\cfrac{\pi (3)^2(3)}{3}\implies 63\pi +9\pi \implies 72\pi ~~ \approx ~~ \text{\LARGE 226.19}~in^3\)

The mean of this data set is ³/₅ inches as a fraction in simple form.

The mean refers to the average of the data set.

The average can be determined as the quotient of the total data value divided by the number of items in the data set.

The length of the first piece of ribbon = ¹/₄ inches

The length of the second piece of ribbon = 1¹/₃ inches

The length of the third piece of ribbon = ²/₃ inches

The length of the fourth piece of ribbon = ¹/₄ inches

The length of the fifth piece of ribbon = ¹/₂ inches

The total length of the five pieces of ribbon = 3 inches

The mean = ³/₅ inches (3 ÷ 5)

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Answer:

b

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

64.50=5x+58.50

64.50=5(1)+58.50

64.50=63.50 CORRECT

It can't be 2 because it will be over 64.50

5(2)+58.50

10+58.50

68.50 WRONG

Avery can use up to 1.2 gigabytes of data while staying within her budget of $64.50 per month.

The equation to determine the number of gigabytes of data Avery can use while staying within her budget can be written as:

$58.50 + $5x = $64.50

Where:

$58.50 represents the flat cost per month

$5x represents the cost based on the number of gigabytes used (x gigabytes)

$64.50 is the total budget she wants to stay within

To solve for x, we can subtract $58.50 from both sides of the equation:

$5x = $6.00

Then, divide both sides by $5:

x = 1.2

So, Avery can use up to 1.2 gigabytes of data while staying within her budget of $64.50 per month.

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Answer:

- 4

Step-by-step explanation:

the absolute value function always give a positive result , that is

| - a | = | a | = a

then

- | - 4 | = - | 4 | = - 4

The required answer is -3x^2 + 6x + 9 = 0.

After multiplying by the LCD (x + 3), the equation becomes:

-3(x + 3) = -2x(x - 3) - x(x + 3)

Now, let's simplify the equation.

Expanding both sides of the equation:

-3x - 9 = -2x^2 + 6x - x^2 - 3x

Combining like terms:

-3x - 9 = -3x^2 + 3x

To continue solving the equation, we can rearrange the terms and set the equation equal to zero:

-3x^2 + 3x + 3x + 9 = 0

Simplifying further:

-3x^2 + 6x + 9 = 0

This is a quadratic equation that can be solved using various methods such as factoring, completing the square, or using the quadratic formula. However, the provided equation is not complete, and there seems to be an error in the given expression.

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Answer: A function is a relation between domain and range such that each value in the domain corresponds to only one value in the range. Relations that are not functions violate this definition. They feature at least one value in the domain that corresponds to two or more values in the range.

Step-by-step explanation:

The area and Perimeter of (ΔABC) are respectively; 17.5 square units and 24.16 units

The formula for the area of a triangle ABC with 3 coordinates is;

Area (ΔABC) = (¹/₂) |x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂)|

The coordinates are;

(x₁, y₁) = (-6, 6)

(x₂, y₂) = (2, 3)

(x₃, y₃) = (-3, -2)

Thus;

Area (ΔABC) = (¹/₂) |-6(3 − (-2)) + 2(-2 − 6) + -3(3 − 6)|

Area (ΔABC) = (¹/₂)|-30 - 16 + 9|

Area (ΔABC) = ¹/₂ * |-35|

We are taking absolute value and so;

Area (ΔABC) = ¹/₂ * 35

Area (ΔABC) = 17.5 square units

To get the perimeter, we will use distance formula between two coordinates and we have;

AB = 8.544

BC = 7.071

AC = 8.544

Thus;

Perimeter = 2(8.544) + 7.071

Perimeter = 24.16 units

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Answer:

false

Step-by-step explanation:

A set of people who interact on the basis of shared expectations and who possess some degree of common identity. A small group of people who interact over a relatively long period of time on a direct and personal basis will share expectations.

After considering the given data we can come to the conclusion that the particular equation that will be perfect for this logistic function is \(P(t) = 124/1 + 122e^-{0.1t}\), under the condition a certain area can support 124 deer. And, there were 2 deer in the area, and growing at an average rate of 10% per month.

The logistic function that describes this situation is given by the formula:

\(P(t) = 124/1 + 122e^{-0.1t}\)
Here,
P(t) = population of deer at time t in months.

This is an instance of a logistic function. The logistic function is applied to project situations in which there is a limit to population growth. For the given case, the carrying capacity of the area is 124 deer.
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Answer:

No, because 4/8*2= 8/16

And 8/16 is greater than 5/16

Answer:

The statement is false.

Step-by-step explanation:

The easiest way to answer this question is to make both fractions have the same common denominator.  In this case, we should alter the first fraction to have a denominator of 16 so that it matches the second fraction.  To do this, we should multiply both the numerator and the denominator of the fraction by 2 (this is the same as multiplying by 1, which does not change the value of the fraction).  This is modeled below:

4/8 * 2/2 = 8/16

Now, we can plug this value back into our original statement.

8/16 < 5/16

From comparing the numerators, we know that 5 is NOT greater than 8, so the statement is false.

Hope this helps!

Answer:

23.42 ft is the perimeter of the hole that should be cut in the wall.