Which of the following can be used to evaluate the series 5E n=1 6(0.6)n-1

Answer is C

Answer:

n < 11

Step-by-step explanation:

We must solve for n, first we will rearrange the inequality

n - 2 < 9

n < 9 + 2

n < 11

Answer:

n < 11

Step-by-step explanation:

Answer:144

Step-by-step explanation:

Answer:144

Step-by-step explanation:

The surface area of the cone is 96π square centimeters (or approximately 301.59 square centimeters if we use a decimal approximation for π).

Calculating a cone's surface area is as follows:

SA = πr² + πrℓ

where l is the cone's slant height and r is the base's radius.

The radius and slant height in this instance are 6 cm and 10 cm, respectively. Therefore:

SA = π(6²) + π(6)(10)

= 36π + 60π

= 96π

The cone's surface area is 96 square centimetres, or roughly 301.59 square centimetres if we round to the nearest decimal.

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Answer:33 1/3

Step-by-step explanation:

Answer: 33.35

Step-by-step explanation:

6 2/3 is 6.67 in decimal form. 6.67 x 5 = 33.35

So, the answer is 33.35

I hope this helps!

The given data does not belong to the function.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

A function is defined as a relation between a set of inputs having one output each.

In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Every function has a domain and codomain or range.

Since in the given data,

at the different values of y, the value of x is the same. that is the first violation of the rule of function.

Therefore, the given data does not belong to the function.

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Answer:

A. 2.50x + 85 < 125.

Step-by-step explanation:

Let x be the number of cans of tennis balls that Joseph wants to buy.

The total cost of the tennis racket and x cans of tennis balls is:

Cost = 85 + 2.5x

Joseph wants to make sure that he spends less than $125, so we can set up the inequality:

85 + 2.5x < 125

Simplifying this inequality, we get:

2.5x < 40

x < 16

So Joseph can buy at most 15 cans of tennis balls if he wants to spend less than $125.

However, the question asks for the correct inequality, and the inequality that correctly represents this situation is:

2.50x + 85 < 125

Therefore, your answer is gonna be A. 2.50x + 85 < 125.

Answer: "B"

Step-by-step explanation:

Joseph wants to buy some tennis balls. Which costs 2.50$ and tennis racket costs 85$

then, 2.50x+85<125

Answer:

10

Step-by-step explanation:

(-9,5) (-9,-5)

[tex]x_{1} = -9\\y_{1} =5\\x_{2} =-9\\y_{2} =-5[/tex]

[tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2} -y_{1} )^{2} }[/tex]

[tex]\sqrt{(-9-(-9)^{2} +(-5-5)^{2} }[/tex]

[tex]\sqrt{(-9+9)^{2}+(-5-5)^{2} }[/tex]

[tex]\sqrt{(0)^{2}+(-10)^{2} }[/tex]

[tex]\sqrt{0+100}[/tex]

[tex]\sqrt{100} =[/tex] 10

Answer:

Step-by-step explanation:

Yes, the length and width dimensions of the two rectangular boxes are similar.

Two objects are considered similar if they have the same shape, but not necessarily the same size. The ratio of the corresponding sides of two similar objects is called the scale factor.

For the first rectangular box, the ratio of length to width is 10/8, which can be simplified to 5/4.

For the second rectangular box, the ratio of length to width is 15/12, which can be simplified to 5/4 as well.

Since the ratio of the corresponding sides of the two boxes is the same, namely 5/4, we can conclude that the length and width dimensions of the two rectangular boxes are similar.

The company is searching for a fill amount of  12.305 ounces to identify the highest 1.5% of fill amounts poured by the filling machine.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given mean of 12.23 ounces and a standard deviation of 0.04 ounces.

To find the fill amount for the highest 1.5% of the fill amounts

we need to find the z-score corresponding to the 98.5th percentile

Using a standard normal distribution table or calculator, we find that the z-score corresponding to the 98.5th percentile is  1.81.

The formula for converting a z-score to a raw score is:

x = μ + zσ

where x is the raw score we want to find, μ is the mean, z is the z-score, and σ is the standard deviation.

x = 12.23 + 1.81(0.04)

x = 12.305 ounces

Therefore, the company is searching for a fill amount of  12.305 ounces to identify the highest 1.5% of fill amounts poured by the filling machine.

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Answer: Isaac is unfortunately incorrect.

Step-by-step explanation: We want to determine if -2(3x-5)=-6x-10. We can apply the distributive property to the parentheses on the left side of the equation to see if this statement is true.

-2(3x-5)=-2*3x+-2*-5=-6x+10

The left side simplifies to -6x+10 which is not equivalent to -6x-10.

Hope this helps!

Answer:

30 feet

So, 30 feet of ribbon is left on the roll

The equation of the line shown is y = 2x.

In Mathematics, a proportional relationship can be defined as a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 2/1 = 4/2

Constant of proportionality, k = 2.

Therefore, the required equation is given by:

y = kx

y = 2x

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Answer:

22² · π

Step-by-step explanation:

The formula to find the area of the circle is

A = π · r²

r = 22

Looking at the options, the answer is 22² · π

By taking the quotient between the volume of the sink and the volume for each cone, we will see that both of your answers are correct.

How many coops does Carissa need to scoop out in each case?

First, we know that the sink has a volume V = (2000/3)*pi in^3

A) First she uses a cone of a diameter of 4 in and a height of 8 in.

Remember that the volume of a cone of diameter D and height H is:

V = pi*(D/2)^2*H/3

Then this cone has a volume of:

V' = (pi/3)*(4in/2)^2*8in = (pi/3) 32 in^3

The number of scoops needed to completely remove the water out of the sink is given by the quotient between the two volumes, it is:

Rounding it, we get 63, so she needs to scoop 63 times.

B) This time the diameter is 8 in and the height 8 in, so the volume of the cone is:

V'' = (pi/3)*(8in/2)^2*8in = (pi/3)*128 in^3

This time, she needs to scoop:

Rounding to the next number we get 16, she needs to scoop 16 times.

So yes, both of your answers are correct.

l be beneficial both in school and in other parts of your life.[1]

Answer:

Step-by-step explanation:

To determine how many conical cups of water Carissa must scoop out of the half-sphere sink to empty it, divide the volume of the sink by the volume of each cup.

[tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a cone}\\\\$V=\dfrac{1}{3} \pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}[/tex]

To determine the volume of conical cup 1 (in terms of π) given it has a diameter of 6 in and a height of 14 in, substitute r = 3 and h = 14 into the volume of a cone formula:

[tex]\begin{aligned}\implies V_{\sf cup\:1}&=\dfrac{1}{3} \pi (3)^2(14)\\\\&=\dfrac{1}{3} \pi (9)(14)\\\\&=\dfrac{126}{3} \pi\\\\&=42 \pi\;\sf in^3\end{aligned}[/tex]

Divide the given volume of the sink by the volume of conical cup 1 to calculate the number of cups of water Carissa must scoop out of the sink to empty it.

[tex]\begin{aligned}\implies \dfrac{4500}{3}\pi \div 42 \pi &=\dfrac{4500}{3}\pi \times \dfrac{1}{42 \pi}\\\\ &=\dfrac{4500 \pi}{126 \pi}\\\\&=\dfrac{4500}{126}\\\\&=35.7142867...\\\\&=36\;\sf(nearest\;whole\;number)\end{aligned}[/tex]

Therefore, Carissa must scoop out 36 cups of water to empty the sink.

To determine the volume of conical cup 2 (in terms of π) given it has a diameter of 10 in and a height of 12 in, substitute r = 5 and h = 12 into the volume of a cone formula:

[tex]\begin{aligned}\implies V_{\sf cup\:2}&=\dfrac{1}{3} \pi (5)^2(12)\\\\&=\dfrac{1}{3} \pi (25)(12)\\\\&=\dfrac{300}{3} \pi\\\\&=100\pi\;\sf in^3\end{aligned}[/tex]

Divide the given volume of the sink by the volume of conical cup 2 to calculate the number of cups of water Carissa must scoop out of the sink to empty it.

[tex]\begin{aligned}\implies \dfrac{4500}{3}\pi \div 100 \pi &=\dfrac{4500}{3}\pi \times \dfrac{1}{100 \pi}\\\\ &=\dfrac{4500 \pi}{300\pi}\\\\&=\dfrac{4500}{300}\\\\&=15\end{aligned}[/tex]

Therefore, Carissa must scoop out 15 cups of water to empty the sink.

Answer:

ambiguous question dear!!

Step-by-step explanation:

Answer:Hence, there are 1200 1200 1200 stiches per minute.

Step-by-step explanation:

Answer:6

Step-by-step explanation:

Answer:

3+3=6

Step-by-step explanation:

Answer: 40

Step-by-step explanation: Because jasmine is enlarging the drawing, we can divide 60 and 3.75 to get how much she is enlarging. 60 divided by 3.75 is 16 meaning she is enlarging by 16. So now we multiply 16 times 2.5 to find the top and we get 40.

Answer:

a = 75

Step-by-step explanation:

Answer:

5 9/10

Step-by-step explanation:

find the same denominator

in this case 30

9x3=27 and 5x5=25

since 27 is bigger, the fraction is also bigger

Answer:

5\6 is smaller than 9\10

Step-by-step explanation:

Find the least common denominator or LCM of the two denominators:

LCM of 6 and 10 are 30

Next, find the equivalent fraction of both fractional numbers with denominator 30

For the 1st fraction, since 6 × 5 = 30,

[tex]\frac{5}{6} = \frac{5.5}{6.5} =\frac{25}{30}[/tex]

Likewise, for the 2nd fraction, since 10 × 3 = 30,

[tex]\frac{9}{10} =\frac{9.3}{10.3} =\frac{27}{30}[/tex]

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

[tex]\frac{25}{30} < \frac{27}{30} 0r \frac{5}{6} < \frac{9}{10}[/tex]

Cameron can use the boards as they are for his corner shelves.

To determine if the triangular boards can be used for Cameron's corner shelves, check if they satisfy the condition for the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let's check each combination of sides:

18 inches + 18 inches = 36 inches > 24 inches (satisfied)

18 inches + 24 inches = 42 inches > 18 inches (satisfied)

18 inches + 24 inches = 42 inches > 18 inches (satisfied)

Therefore, all three combinations of sides satisfy the triangle inequality theorem, and the triangular boards can be used for Cameron's corner shelves.

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The distinguishing feature of the distance between the foci and a point on the ellipse is that it is constant for all points on the ellipse.

What is an Ellipse?

In mathematics, an ellipse is a closed curve that is symmetrical about two perpendicular lines, called the major and minor axes.

The distinguishing feature of the distance between the foci and a point on the ellipse is that it is constant for all points on the ellipse. This distance is known as the focal length or eccentricity, and it is a measure of how much the ellipse deviates from a perfect circle. The sum of the distances from any point on the ellipse to the two foci is always equal to this constant distance, which can be calculated using the equation c² = a² - b², where c is the distance between the foci, and a and b are the lengths of the major and minor axes of the ellipse, respectively.

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Answer:

Step-by-step explanation:

The sum of the distances between the foci and any point on an ellipse is a constant sum. This sum is equal to the length of the major axis.

An ellipse is a set of all points in a plane so that the sum of the distances from two fixed points, called the foci, is constant. d1 + d2 = 2a = constant. An ellipse is what we commonly call an oval and looks like a squashed or flattened circle. In fact, a circle is a special kind of ellipse where the foci are located at the center of the circle. Two fixed points on the interior of an ellipse are given by (0, c) and (0, -c) for an ellipse with a vertical orientation and by (c, 0) and (-c, 0) for an ellipse with a horizontal orientation. The larger denominator is the major axis; therefore, if the larger denominator is under the x2, the ellipse will have a horizontal orientation. If the larger denominator is under the y2, the ellipse will be oriented vertically. Because both the vertices and foci lie on the major axis, they will both have the same y-coordinate (if the major axis is horizontal) or the same x-coordinate (if the major axis is vertical).

Answer:

Last choice

Step-by-step explanation:

the 'w-axis intercept' occurs when d = 0  ( puppy is just born day 0)

 and is equal to 4.25 ounces

The graph of the point is on the image at the end.

A coordinate plane has two axes, one is horizontal and the other is vertical.

A general point (x, y) has the value "x" in the horizontal axis and "y" in the vertical one, then to graph (-312, 434 ) in a coordinate plane, you need to find -312 in the horizontal axis and 434 in the vertical one.

The graph of the point is on the image at the end.

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Answer:

[tex]y = 4d + 8\\[/tex]

Step-by-step explanation:

Since d is the number of large drinks, and there is always a constant of 1 large popcorn, we go to (0, 8). This concludes that since we start off with the cost of 8 dollars with no large drink but a large popcorn, the popcorn will stay a constant cost of $8. (the equation for this scenario is as shown):

y = md + 8

y (total cost)

m (coefficient - in this sense the cost of the drinks.)

d (amount of drinks)

8 (the constant of 8 represents the cost of one large popcorn consistently)

Now, lets find the cost of the dink.

Go to (1, 12).

$12 dollars is the total cost, with one drink and one large popcorn bought.

We have already discussed that we will have a constant of 8 because no matter the amount of drinks we will get, we would have bought 1 large popcorn at $8.

Therefore, we must subtract 8 dollars from 12.

12 - 8 = 4

From the total cost of everything we bought (2 things) and subtracting it with the cost one of the things we bought, we get the cost of the other thing.

each drink will cost $4.

Therefore, with all the variables and their listed meanings, this will be our given equation:

y = 4d + 8

The system of inequalities graphed is given as follows:

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The lower bound of the graph is a horizontal line at y = -1, hence:

y > -1.

For the upper bound of the graph, we have a linear function with these following parameters:

The upper bound is also a closed interval, as the line is solid, hence:

y ≤ -x + 1.

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Answer:

To solve for x, we can cross-multiply:

1/5x = 3/10

10(1/5x) = 10(3/10)

2x = 3

x = 3/2

Therefore, the solution is x = 3/2.

Answer:

To solve the equation 1/5x = 3/10 for x, we need to isolate x on one side of the equation.

First, we can simplify the equation by multiplying both sides by the reciprocal of 1/5, which is 5/1 or simply 5:

(1/5)x = 3/10

5(1/5)x = 5(3/10)

x = 3/2

Therefore, the solution to the equation 1/5x = 3/10 is x = 3/2 or 1.5.

have a good and stay safe

Based on the given information, the graph of the function will shift 6 units up from the parent graph, f(x).

A function is a mathematical rule that relates one input value to one output value. The parent graph of a function is the simplest form of the graph that shows the basic behavior of the function.

In this case, the function is being shifted vertically by 6 units. This means that all points on the graph will be shifted upward by 6 units compared to the parent graph.

The shape of the graph will remain the same, but its position will change. Understanding how functions are transformed is important in mathematics and can be used to model a wide range of real-world phenomena.

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