After 8 examinations, Kacey's average was 55. Her next result increased her average to 60. What was the next score?

Answer:

Irrational Numbers

Step-by-step explanation:Irrational numbers never end and never end/repeat.

Answer: D

Step-by-step explanation:

Carly had x amount of stuffed animals

she gave -7 away to her sister

she was given +3 by her aunt

Answer:

slope: 1/6

Step-by-step explanation:

you can use the equation y2 - y1 /x2 - x1 to solve this

(-6,3) (12,6)

6 - 3 = 3

12 - - 6 = 12 + 6 = 18

3/18 = 1/6

I hope this helped you ;)

Answer:

......................

Using the graphs and the curves shown in the graph we can identify many characteristics from it. The intercepts are intersections with the axes and asymptotes are line running to infinity close to axes.

In mathematics, "graph" can refer to (at least) two different things. In elementary mathematics, the term "graph" designates a plot or a function graph. A graph is, in the language of mathematicians, a set of points and the connections between some subset of those points (which may be empty).

The points on a graph where the graph crosses the two axes are known as the intercepts (x-axis and y-axis). The x-coordinate is the location where the graph crosses the x-axis, and the y-coordinate is the location where the graph crosses the y-axis.

A line that keeps moving in the direction of a particular curve but never actually touches it.

x-intercept =  point where the curve of the function crosses x-axis.

y-intercept =  point where the curve of the function crosses y-axis.

Horizontal asymptotes =  curve which moves towards infinity along the x-axis but doesn't crosses the x-axis.

Vertical asymptotes =  curve which moves towards infinity along the y-axis but doesn't crosses the y-axis.

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A. The cheetah will catch its prey in approximately 2.4 seconds.

B. To calculate the time it takes for the cheetah to catch its prey, we can first determine the relative speed between the cheetah and the gazelle.

The relative speed is the difference between their individual speeds.

Relative speed = Cheetah's speed - Gazelle's speed

Relative speed = 105 km/h - 76 km/h

Relative speed = 29 km/h

To convert the relative speed to meters per second (m/s), we divide by 3.6 (since 1 km/h is equal to 1/3.6 m/s).

Relative speed = 29 km/h ÷ 3.6 = 8.0556 m/s

Now we can calculate the time it takes for the cheetah to cover the distance of 79.2 meters (the distance between the cheetah and the gazelle).

Time = Distance ÷ Speed

Time = 79.2 m ÷ 8.0556 m/s

Calculating this, we find that the time is approximately 9.825 seconds.

Therefore, the cheetah will catch its prey in approximately 9.825 seconds or approximately 2.4 seconds (rounded to one decimal place).

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Answer:

x = 10

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Add 4 to both sides of the equation:

x - 4 (+4) = 6 (+4)

x = 6 + 4

x = 10

x = 10 is your answer.

~

You get this result after adding 4 to both sides. This is to undo the "minus 4" happening to the x.

To check the answer, replace x with 10 and simplify each side like so

x-4 = 6

10-4 = 6

6 = 6

We get the same thing on both sides, so that confirms the solution.

17. The inequality for line 1 is: y < x + 1

18. The inequality for line 2 is: y ≥ -2x + 2

Find the slope of the given line, m, and the y-intercept. Next, determine if the inequality sign to use would be "<, >, ≤, or ≥" depending on if the line is doted or solid, and if the shaded region is above or below the boundary line.

17. Find the slope of line 1:

Slope (m) = rise/run = 1/1

Slope (m) = 1

The y-intercept (b) = 1

The line is dashed and the shaded region is below the line. The inequality sign to use is <.

To write the inequality for line 1, substitute m = 1 and b = 1 into y < mx + b:

y < x + 1

18. Find the slope of line 2:

Slope (m) = rise/run = -2/1

Slope (m) = -2

The y-intercept (b) = 2

The line is a solid line and the shaded region is above the line. The inequality sign to use is ≥.

To write the inequality for line 2, substitute m = 2 and b = 2 into y ≥ mx + b:

y ≥ -2x + 2

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When we conclude that the results we have gathered from our sample are probably also found in the population from which the sample was drawn, we say that the results are statistically significant.

In statistical analysis, we use hypothesis testing to determine whether the results of a sample are likely to be representative of the population as a whole. If the results are statistically significant, we can infer that there is a low probability that the observed differences between the sample and the population occurred by chance alone.

This allows us to generalize the findings from the sample to the larger population with a reasonable degree of confidence.

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The total number of different dinners created by Jane from the given number of selections is equal to 140.

The number of different dinners Jane can create,

Consider two cases,

One vegetarian selection and two meat selections

Here,

We have 5 choices for the vegetarian selection, and 4 choices for each of the meat selections,

Total possible dinners are

= 5 × 4 × 4

= 80 .

Two vegetarian selections and one meat selection

Here,

We have 5 choices for the first vegetarian selection,

4 choices for the second vegetarian selection,

And 4 choices for the meat selection.

Total possible dinners are,

= 5 × 4 × 4

= 80 .

However, we have counted some dinners twice,

The ones that have two vegetarian selections and one meat selection.

There are 5 × 4 = 20 such dinners, subtract this number from the total.

Total number of different dinners Jane can create, given that at least one of the selections must be vegetarian is,

80 + 80 - 20 = 140

Therefore, the number of different dinners created by Jane is equal to  140 .

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The above question is incomplete, the complete question is:

Jane must select 3 different items for each dinner she will serve. the items are to be chosen from among 5 different vegetarian and 4 different meat selections. if at least one of the selections must be vegetarian, how many different dinners can jane create?

Answer:

15/8 for exact form

1.875 for decimal form

And

1 and 7/8 for mixed number form

hope this helps you!

(also already in the simplest form :)

Therefore, the expression equivalent to the given expression \(\sqrt x+11=15\) is \(x=16\).

The given expression is,

\(\sqrt x+11=15\)

It is required to solve the given expression.

Firstly, solve for the constant terms and then take square of both sides of the equation.

The given equation can be solved as,

\(\sqrt x+11=15\\ \sqrt x=4\\ x=4^2\\ x=16\)

Therefore, the expression equivalent to the given expression \(\sqrt x+11=15\) is \(x=16\).

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The equation is equivalent to the given equation is \(\sqrt{x} =15-11\).

Equation; \(\rm \sqrt{x} +11 =15\)

Which equation is equivalent to the given equation?

To determine the equation is equivalent to the given equation following all the steps given below.

Equation; \(\rm \sqrt{x} +11 =15\)

Then,

Subtracting 11 from both sides.

\(\rm \sqrt{x} +11 =15\\\\\rm \sqrt{x} +11-11 =15-11\\\\\rm \sqrt{x} =15-11\)

Hence, the equation is equivalent to the given equation is \(\sqrt{x} =15-11\).

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The price of fake teeth is $4 and the price of fake spiders is $1.50.

Two equations can be derived from this question:

5x + 10y = 35 equation 1

x = 4y - 2 equation 2

Where:

x = false teeth

y = fake spiders.

In order to determine the value of y, substitute for x in equation 1:

5(4y -2) + 10y = 35

20y - 10 + 10y = 35

Add similar terms

30y - 10 = 35

Combine similar terms

30y = 45

y = 45 / 30

y = $1.50

Substitute for y in equation 2

x = 4(1.50 - 2

x = 6 - 2

x = 4

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Answer:

\(f(t) = 7.23( {1.0114}^{t} )\)

t = 0 represents January 1, 2014

(a)

\(f(6) = 7.23( {1.0114}^{6} ) = 7.739\)

The population of the world is expected to be about 7.739 billion people on January 1, 2020.

(b)

\(7.23( {1.0114}^{t} ) = 10\)

\(t = about \: 28.61 \: years\)

The population of the world is expected to be 10 billion people in about 28.61 years after January 1, 2014 (sometime in August 2042).

Answer: 15%

Step-by-step explanation:

Take 24 divided by 160, then time 100% = 15%

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Answer:

Step-by-step explanation:

To determine how many months it will take to pay off a credit card balance of $13,000 with a minimum monthly payment of $500 and an APR of 22%, we need to consider the monthly interest and the decreasing balance.

Here's the calculation:

Calculate the monthly interest rate by dividing the APR by 12 and converting it to a decimal:

Monthly interest rate = (22% / 12) / 100 = 0.0183333

Calculate the interest charged each month by multiplying the monthly interest rate by the remaining balance:

Monthly interest charge = 0.0183333 * $13,000 = $238.33 (rounded to two decimal places)

Subtract the minimum payment from the remaining balance to determine the reduction in the balance each month:

Balance reduction = $500 - $238.33 = $261.67 (rounded to two decimal places)

Calculate the remaining balance after each month by subtracting the balance reduction from the previous balance:

Month 1: $13,000 - $261.67 = $12,738.33

Month 2: $12,738.33 - $261.67 = $12,476.66

Month 3: $12,476.66 - $261.67 = $12,214.99

...

Continue this process until the remaining balance reaches zero.

To determine the number of months it will take to pay off the balance, we need to divide the initial balance by the balance reduction:

Number of months = $13,000 / $261.67 = 49.66 (rounded to two decimal places)

Therefore, it will take approximately 49.66 months, or rounded up to 50 months, to pay off the credit card balance by making only the minimum payment of $500 per month.

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Answer:

5 x 2 x 2 x 3 x 3

Step-by-step explanation:

By substituting the equations the evaluated limit is 5c².

To evaluate the given limit, we need to substitute the given expressions into the function f(a) and simplify the expression (f(2 + h) - f(2))/h as h approaches 0.

First, we substitute a = 2 + h into the function f(a):

f(2 + h) = 5(2 + h)c² + 2.

Next, we substitute a = 2 into the function f(a):

f(2) = 5(2)c² + 2.

Now, we can evaluate the expression (f(2 + h) - f(2))/h:

(f(2 + h) - f(2))/h = [(5(2 + h)c² + 2) - (5(2)c² + 2)]/h.

Simplifying further:

= [(10 + 5hc² + 2) - (10c² + 2)]/h

= [5hc²]/h

= 5c².

As h approaches 0, the expression (f(2 + h) - f(2))/h simplifies to 5c².

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The bee's path can be modeled as a complex number sequence.

The bee started flying from the point facing east and flies a distance of 1 foot due east. For, once the bee reaches a point, turns counterclockwise, and flies two-thirds of the previous distance it flew to point

The first step is 1 + 0i. Each subsequent step is two-thirds of the previous step rotated by -90 degrees, which is equivalent to multiplying by -1/3 + i√3/3.

The bee's final position is the limit of this sequence, which is 0.5 + 0.5i√3. The distance from the starting point is |0.5 + 0.5i√3| = 0.5√(0.5² + (0.5√3)²) = √(0.25 + 0.75) = √(1).

Therefore, = √(1), and = 1.

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36 is large a sample should the researcher   by confidence level.

What does "confidence level" mean?

Confidence lavel = 93%

           z = 1.81

        σ = 10

       E = 3

Sample mix n = ( zσ/E)² = ( 1.81 * 10/3)

                         = 36.4

                         ≈ 36

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The distance between your house and school is 4.1 miles.

According to the given question.

Point c represents your house.

Point d represents post office which is directly west to the point c i.e from house.

And point e represents school which is west of the post office.

Also, it is given that the distance between house and post office, cd is 1.7 miles.

And the distance between the post office and school,de is 2.4 miles.

Now, if we see the attached figure we can say that

cd + de = ce

⇒ 1.7miles  + 2.4miles  = 4.1 miles

Hence, the distance between your house and school is 4.1 miles.

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Answer: \(\left \{ {{x=10} \atop {z=63}} \right.\)

Step-by-step explanation:

Vertical Angles states that 9x+27=117

Supplementary Angles states that 117+z=180

\(9x+27=117\\Subtract (27)\\9x=90\\Divide(9)\\\left[\begin{array}{c}x=10\end{array}\right] \\\\117+z=180\\Subtract(117)\\\left[\begin{array}{c}z=63\end{array}\right]\)

Hope it helps <3

To determine the points that are solutions to the inequality y ≤ -2x - 2, we need to test various points and check if they satisfy the inequality.

Here are some points you can evaluate: (0, -2): Plugging in x = 0 and y = -2 into the inequality: -2 ≤ -2(0) - 2. Simplifying, we get: -2 ≤ -2. This is true, so (0, -2) is a solution. (1, -4): Plugging in x = 1 and y = -4 into the inequality: -4 ≤ -2(1) - 2 . Simplifying, we get: -4 ≤ -4. This is true, so (1, -4) is a solution. (3, 0):  Plugging in x = 3 and y = 0 into the inequality: 0 ≤ -2(3) - 2. Simplifying, we get: 0 ≤ -8. This is false, so (3, 0) is not a solution.

Based on these evaluations, the solutions to the inequality y ≤ -2x - 2 are (0, -2) and (1, -4).

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Chloe put approximately 52.467 pounds of potting soil in each of the 77 flowerpots. we need to divide the total weight of the soil by the number of pots.

1. We know that Chloe has a 4040-pound bag of potting soil.
2. She wants to divide the soil equally among 77 flowerpots.
3. To find the amount of soil per pot, we need to divide the total weight by the number of pots: 4040 pounds ÷ 77 pots.

4040 ÷ 77 = 52.467 (rounded to three decimal places)

So, Chloe put approximately 52.467 pounds of potting soil in each of the 77 flowerpots.

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The biggest decrease in waiting time between two consecutive eruptions is 18 minutes.

Here, we have,

To assign the biggest decrease to the biggest decrease in waiting time between two consecutive eruptions, we need to compare the decreases in waiting time for each pair of consecutive eruptions and identify the pair with the largest decrease.

Let's consider a sequence of eruption waiting times as an example:

Eruption 1: 60 minutes

Eruption 2: 70 minutes

Eruption 3: 74 minutes

Eruption 4: 62 minutes

Eruption 5: 80 minutes

To find the biggest decrease in waiting time, we compare the differences between consecutive eruptions:

Decrease between Eruption 1 and Eruption 2: 70 - 60 = 10 minutes

Decrease between Eruption 2 and Eruption 3: 74 - 70 = 4 minutes

Decrease between Eruption 3 and Eruption 4: 62 - 74 = -12 minutes

Decrease between Eruption 4 and Eruption 5: 80 - 62 = 18 minutes

From the calculations, we can see that the biggest decrease in waiting time occurs between Eruption 4 and Eruption 5, with a decrease of 18 minutes.

Therefore, the biggest decrease in waiting time between two consecutive eruptions is 18 minutes.

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In order to assign the biggest decrease to the biggest decrease in waiting time between consecutive eruptions, calculate the difference in waiting times for each pair of eruptions, and the biggest decrease will be the largest difference you find.

To assign the biggest decrease to the biggest decrease in waiting time between two consecutive eruptions, you need to first identify the waiting times between each pair of consecutive eruptions. Then, calculate the difference in waiting times between each pair. For example, if the third eruption occurred after 74 minutes and the fourth after 62 minutes, the decrease in waiting time was 74 - 62 = 12 minutes. You repeat this process for all pairs of consecutive eruptions, and the biggest decrease in waiting time will be the largest difference you calculate.

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BEING CAREFUL WHILE USING THE INTERNET

Answer:

The best approximation for the area of this circle with a radius of 8in is 201.0 in².

A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius). The area, a circle occupies in a two-dimensional plane is known as the area of the circle. Therefore, the area that a circle with radius r encloses is πr².

Given the radius r of the circle is 8 in. Then, the area is,

A = 3.14×(8 in)² =200.96 in²=201.0 in²

The answer is 201.0 in² and the correct option is option c.

The complete question is -

What is the best approximation for the area of this circle? Circle with radius labeled 8 in. Use 3.14 to approximate pi.  a) 25.1 in² b) 50.2 in² c) 201.0 in² d) 803.8 in²

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Answer:

slope: 3

y-intercept: 3

Step-by-step explanation:

y=3x+3

Hope this helps :) Have a good day!!!!