Find nd the 10th term of the series attached.​

The numbers given can be placed in the bubbles in each row to sum up to 100 as shown in Figure 2 attached below. (See attachment).

The diagram (Figure 1) attached below shows the bubbles to be filled with the given numbers such that in each row, four of the numbers placed in the bubbles will add up to 100.

Hint:

Every row will have 4 numbers, 1 in each bubble which will give us 100.

The rest of the arrangement is shown in the figure 2 attached below. (See attachment).

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The inequality shown in the diagram is the one in option C.

-2 < x ≤ 7

On the number line we can see that our variable is x, the graph of the solution set of the inequality starts with an open circle at x = -2.

The open circle means that x = -2 is not a solution of the inequality, then we start with:

-2 < x

Then we can see a closed circle at x = 7, a closed cirlce means that the value is a solution, so x can be equal to 7, and the inequality is:

-2 < x ≤ 7

So the correct option is C.

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Answer:

104.7 in^3

Step-by-step explanation:

Step one:

given data

The ball has a radius of 5 inches and

the cylinder has a height of 8 inches

Step two:

The volume of the cylinder

\(v= \pi r^2 h\)

substitute our data

\(v= 3.142*5^2*8\\\\v=628.4in^3\)

The volume of the ball

\(v=4/3 \pi r^3\)

substitute our data

\(v= 4/3 *3.142*5^3\\\\v= 523.7 in^3\)

The space will have a volume of

=628.4-523.7

=104.7 in^3

Step-by-step explanation:

Area of base ( 1/2 *  L1  *  L2 )     *  height = volume

            1/2 ( 7)(8)     *   5 =  140 in^3

The slope of the associated graph at the point (2,1) is 2.

To find the slope of the associated graph at the point (2,1) when x = t + 1 and y = t^2, we need to differentiate y with respect to t and evaluate it at t = 1.

First, let's express y in terms of t:

y = t^2

Next, we differentiate y with respect to t:

dy/dt = 2t

To find the slope at the point (2,1), we substitute t = 1 into the derivative:

slope = dy/dt at t = 1

slope = 2(1)

slope = 2

Therefore, the slope of the associated graph at the point (2,1) is 2.

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To solve for the diameter and radius of a cone with a volume of 8 and a height of 6, we need to use the formulas for the volume and surface area of a cone.

The volume of a cone is given by the formula:

V = 1/3 * π * r^2 * h

where V is the volume, r is the radius, h is the height, and π is the mathematical constant pi (approximately 3.14).

We know that the volume is 8 and the height is 6, so we can plug these values into the formula and solve for the radius:

8 = 1/3 * π * r^2 * 6

r^2 = 8/(π*6/3)

r^2 = 4/π

r = √(4/π)

r ≈ 0.798

The radius is approximately 0.798.

To find the diameter, we simply multiply the radius by 2:

d = 2 * r

d ≈ 1.596

Therefore, the diameter is approximately 1.596 and the radius is approximately 0.798.

Answer:

$557.5

Step-by-step explanation:

783/2

391.5 + 83 (more) =

557.5

Identifying Eigenvalues and Eigenvectors, A should be a n x n matrix. By resolving the det(λI−A)=0 problem, first determine the eigenvalues of A. Find the fundamental solutions to (λI−A)X=0 to determine the fundamental eigenvectors X≠0 for each.

In linear algebra, a nonzero vector is said to have an eigenvector, or characteristic vector, when a linear transformation is applied to it; this characteristic vector only changes by a scalar amount. The scaling factor for the eigenvector is known as the associated eigenvalue, frequently represented by the symbol. Linear transformations are made intelligible by the usage of eigenvectors. Eigenvectors can be thought of as a non-directional stretching or compressing of an X-Y line chart. In mathematics, eigenvalues are regarded as the factor by which a transformation is stretched, whereas eigenvectors are the real non-zero eigenvalues that point in the direction stretched by the transformation. The direction of the transformation is negative if the eigenvalue is negative.

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Answer:

Surface area: 310.86 sq ft

Step-by-step explanation:

First, find the surface area of the cylinder. This can be found by finding the area of the circle at its base, and then the area of its mid-region.

The area of the circle can be found using the formula: a = pi(r^2). r stands for radius, which is 3 in this problem. 3^2 equals 9, which, multiplied by pi (3.14), equals 28.26.

The area of the cylinder's mid-region is equal to the circumference of the circle multiplied by the height of the cylinder. The circumference of the circle is equal to c = 2pi(r), or in this case: 18.84. Now, multiply this value by the height to get 226.08 as the area of the mid-region.

Lastly, find the surface area of the sphere. This can be found using the equation a =4πr^2. r is, again, radius, which in this problem can be represented by 3. The surface area of a sphere with a radius of 3 is 113.04. However, this figure only shows half a sphere, which can be found by dividing 113.04 in half. This gets you 56.52.

Now, simply add all the areas together to get the total surface area!

Step-by-step explanation:

The primary goal of a debate is for students to generate effective critical thinking into primary issues in the given topic.

The cost of walking this guest is $190.

The cost of walking the guest can be calculated by adding up the expenses incurred by the hotel.

The guest was walked to another hotel that charged a room rate of $150. Therefore, the hotel incurred a cost of $150 for the room.

In addition to the room cost, the hotel also paid for the guest's Uber ride to the new hotel, which was $15.

Furthermore, the overbooked hotel gave the guest a gift card worth $25. Although the gift card does not directly represent an expense, it can be considered as an opportunity cost for the hotel, as they could have used that money to cover other costs.

Therefore, the total cost incurred by the hotel for walking the guest is:

$150 (room cost) + $15 (Uber cost) + $25 (gift card cost) = $190

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Answer:

Screenshot and post it please

Step-by-step explanation:

Answer:

1/5 is the slope.

Answer:

1/5

Step-by-step explanation:

remember this when finding the slope: \(\frac{rise}{run}\)

count one block up and five blocks to the right to create a triangle.

so, the slope is 1/5

Please 5 stars if right!

Answer:

x = 62 and y = 28

Step-by-step explanation:

Solving for x:

\(47+15 = 62\\180-62 = 118\\180 - 118 = 62 \\x = 62\)

Solving for y:

\(62 + 90 =152\\180-152=28\\y = 28\)

The amount of mixed juice that was left in the jug is 5/4 of a bottle

Pavarti used 7/8 of a bottle of strawberry juice and 3/4 of a bottle of mango juice, so the total amount of mixed juice is:

7/8 + 3/4 = 14/16 + 12/16 = 26/16 = 13/8

So, Pavarti had 13/8 of mixed juice in the jug.

Pavarti then drank 3/8 of a bottle of the mixed juice, so the amount of mixed juice left in the jug is:

13/8 - 3/8 = 10/8 = 5/4

Therefore, the amount of mixed juice that was left in the jug is 5/4 of a bottle.

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The amount of mixed juice left in the jug is 5/4 (or 1 1/4).

A fraction is a numerical quantity that represents a part or parts of a whole.

Since Pavarti filled the jug with 7/8 of a bottle of strawberry juice and 3/4 of a bottle of mango juice. The total amount of mixed juice will be:

amount of mixed juice = 7/8 + 3/4

                                        = 13/8

She then drank 3/8 of a bottle of the mixed juice. That is subtraction.

Thus, the amount of mixed juice left in the jug will be:

mixed juice left = 13/8 - 3/8

                           = 10/8

                           = 5/4

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GET THEM ALL RIGHT!?

The given system of equations to have a Unique solution, the value of k must be any real number except 1 (k ≠ 1).

The value of k for which the given system of equations has a unique solution, we can use the concept of determinants. The system of equations is as follows:

kx + 2y = 3   -- (1)

3x + 6y = 10  -- (2)

To have a unique solution, the determinant of the coefficients of x and y must not be zero.

The determinant of the coefficient matrix for the system is:

D = | k   2 |

       | 3   6 |

By calculating the determinant, we have:

D = (k * 6) - (2 * 3)

D = 6k - 6

For the system to have a unique solution, the determinant D must not equal zero.

6k - 6 ≠ 0

Simplifying the inequality:

6k ≠ 6

Dividing both sides by 6:

k ≠ 1

Therefore, for the given system of equations to have a unique solution, the value of k must be any real number except 1 (k ≠ 1).

In other words, if k is not equal to 1, the system of equations will have a unique solution. If k is equal to 1, the system will either have infinitely many solutions or no solution.

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No, X or y-axis scale does not have to always start at zero. In a line chart, it's OK to start the axis at a number other than zero

A line that is used to take or mark measurements is known as an axis in mathematics. Two crucial axes of the coordinate plane are the x and y axes. A horizontal number line is the x-axis, while a vertical number line is the y-axis. The coordinate plane is created by the perpendicular intersection of these two axes.

Given,

No, X or y-axis scale does not have to always start at zero.

A line chart encodes data using location (x, y coordinates), whereas a bar chart represents data using length. In a line chart, it's OK to start the axis at a number other than zero despite many claims that they are always misleading since this minute difference influences how a reader utilizes the chart.

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To design a 64k x 8 PROM (Programmable Read-Only Memory) using 16k x 4 PROM, we need 8 ICs (Integrated Circuits) of PROM with a 2-to-4 decoder and 4 lines and 2 columns.

In a 16k x 4 PROM, each memory location stores 4 bits of data, and there are 16k (16384) memory locations. To achieve a 64k x 8 memory capacity, we need four times the number of memory locations, which is 4 x 16384 = 65536 memory locations.  To address these 65536 memory locations, we require 16 bits of address lines. The 2-to-4 decoder is used to decode these 16 address lines into 2^16 = 65536 unique combinations. Each combination represents a specific memory location in the 64k x 8 PROM.

With 2 lines and 2 columns for each IC, we need 8 ICs in total to accommodate the required memory capacity. Each IC can handle 4 lines and 2 columns, resulting in a total of 8 lines and 2 columns.To design a 64k x 8 PROM using 16k x 4 PROM, we need 8 ICs of PROM with a 2-to-4 decoder and 4 lines and 2 columns. Each IC can handle 16k memory locations, and by combining them, we achieve a memory capacity of 64k x 8.

Note: It's worth mentioning that there are alternative ways to achieve the same memory capacity, such as using different decoder configurations or varying the number of lines and columns per IC. The specific design choice may depend on factors such as cost, space constraints, and specific requirements of the application.

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Answer:

24=10

Step-by-step explanation:

The value of y when  x = 10 is 5/4

If y varies directly as x, this is expressed as:

\(y \alpha x\\y = kx\\\)

where

k is the constant of proportionality

If y = 3 when x = 24, then:

3 = 24k

k = 3/24

k = 1/8

In order to get the value of x when y = 10

Recall that y = kx

y = 1/8 * 10

x = 10/8

y = 5/4

Hence the value of y when  x = 10 is 5/4

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When rolling two dice the possible outcomes are:

Probability is calculated as follows:

There is a total of 6x6 = 36 possible outcomes. From the table, we can see that 5 of them are a 6 and 3 of them are a 10. Then, the number of favorable outcomes is 5 + 3 = 8. Therefore, the probability of winning on your next turn is:

Answer:

144 in sq

Step-by-step explanation:

multiply 12 by 12

Answer:

9 inches²

Step-by-step explanation:

Since a square has 4 equal sides, we can divide its perimeter by 4 to find the length of a single side.

12/4 = 3

Each side of the square is 3 inches long.

To find the area of the square, then, multiply the length, 3 and the width, 3, together.

3 · 3 = 9

The area of the square is 9 inches.

Good luck ·ω·

Answer:

2565

Step-by-step explanation:

:)

Answer:

2565

Step-by-step explanation:

Answer:

14.571 time she gets her car washed

Step-by-step explanation:

Answer:

Sofia can learn 25 recipes in 5 weeks.

Step-by-step explanation:

First, to find the unit rate, we have to do 10/2 which = 5.

If the unit rate is 5 recipes per week, than she can learn 25 recipes in 5 weeks because 5 x 5 = 25

Hope this helps!

Answer:

She can learn 25 recipies

Step-by-step explanation:

Hello!

1/6 ≈ 0.167

the answer is 0.167

Answer:

Area is 126.5 inches^2

Step-by-step explanation:

Mathematically, to calculate the area of the trapezoid, we use the following mathematical formula;

A = 1/2(a + b) h

here, a and b represents the two parallel sides which is 9 and 14 inches here and h which is the height is 11

Plugging these values into the equation, we have

A = 1/2(9 + 14)11

= 1/2(23)11 = (23*11)/2 = 126.5 inches^2

Answer:

Assuming you meant division.

26 R16

Step-by-step explanation:

\(Borrow\:8\\= 97\\= 97 - 74(37 \cdot 2)\\= 23\\Drop\:the\:borrowed\:8\\= 238\\= 238 - 222(37 \cdot 6)\\= 16\\\\26\:R16\)

➲ Hope this helps.

Answer:

26 R16

Step-by-step explanation: