If the runner is moving from left to right in the Gizmo, how does the graph
always look

Can you post a picture of the triangle? it would make this way easier.

Answer:

The next sequence is 243

The pattern is x 3

3 x 3 = 9

9 x 3 = 27

27 x 3 = 81

81 x 3 = 243

Step-by-step explanation:

You're welcome.

Answer: A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

If the drive in can only hold 72 cars, the n is all positive integers less than or equal to 72

Answer:

perpendicular

Step-by-step explanation:

The standard form of equation of a line is expressed as y = mx+c

m is the slope

c is the intercept

For the line Y= -1/2x-11

Compare

mx = -1/2x

m = -1/2

slope = -1/2

For the equation

16x-8y=-8

Divide through by 8

2x - y = -1

- y = -2x-2

y  = 2x+2

Compare

mx = 2x

M = 2

Take the product of the slopes

Mm = -1/2 *  2

Mm = -1

Since the product of their slope is -1, hence the two lines are perpendicular

The unit rate for 2010 dollars in 6 months

Unit rate

2010/ 6 = 335 dollars/ month

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Answer:

10

Step-by-step explanation:

(4)(1)+6=10

The area of the square is changing at 12√2 + 2√2t square inches/minute when the circle is increasing at 1 in/min.

Let us find the relationship between r and s using the Pythagorean theorem. Since the square is inscribed in the circle, the diameter of the circle is equal to the diagonal of the square.

2r = s√2
Squaring both sides, we get:
4r² = 2s²or s² = 2r²
Dividing by 2 on both sides, we get:
s²/2 = r²
Differentiating both sides with respect to t, we get:
ds²/dt = 2r (dr/dt)
Dividing both sides by 2s, we get:
ds/dt = r (dr/dt) / s

Substituting r² = s²/2,

\(ds/dt = r (dr/dt) / √2s2s ds/dt = r (dr/dt)s ds/dt = (r/2) (dr/dt)2s ds/dt = r (dr/dt) or dA/dt = 2s ds/dt = 2r (dr/dt)\)

Now, substituting r² = s²/2,

dA/dt = 2s ds/dt = 2(√2 s) (dr/dt) = 2(√2) r (dr/dt)

Now, substituting dr/dt = 1 in/min and r = 6 in (since the circle is increasing at 1 in/min, the radius after t minutes is 6 + t),

dA/dt = 2(√2) (6 + t) (1) = 12√2 + 2√2t square inches/minute

Therefore, the area of the square is changing at a rate of 12√2 + 2√2t square inches/minute.

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Answer:

To find the width of the garden, we need to use the formula for the area of a rectangle, which is:

Area = length x width

In this case, we know the length is 1 yard and the area is 5 square yards. We can substitute these values into the formula and solve for the width:

5 = 1 x width

width = 5/1

width = 5

Therefore, the garden should be 5 yards wide.

Answer:

Step-by-step explanation:

\( \frac{9}{3} = 3 \\ \\ \frac{36}{x} = 3 \\ x = \frac{36}{3} \\ x = 12\)

I hope that is useful for you :)

Answer:

12x^5+18x^2+10x^3+15

Step-by-step explanation:

first you apply the distribution property (FOIL) and you get

12x^5+18x^2+10x^3+15

Using it's concept, the range of the function is given by:

All real numbers less than or equal to 4.

The range of a function is the set that contains all possible output values for the function.

For a concave down parabola, the range is from negative infinity to the y-value of the vertex, which in this problem is of 4, hence the correct option is given by:

All real numbers less than or equal to 4.

The graph of the function is given at the end of the answer, which corroborates our answer, as the range is composed by the values of y of the function.

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Based on the estimated number of defective batteries and the number of batteries that were actually defective, the percent error of Jake's estimate is 20%

The percent error of a problem can be found by the formula:
= (Expected results - Actual results) / 100%

Expected results = 12 defective batteries

Actual results = 10 defective batteries

Jake's percentage error is therefore:

= (12 - 10) / 100%

= 2 / 10 x 100%

= 0.2 x 100%
= 20%

In conclusion, the percent error of Jake's estimate is 20%.

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Answer:

m∠HLI = m∠ILM

Step-by-step explanation:

Answer:

no that is incorrect I know because i took this test already

Answer:bnjckfkf

Step-by-step explanation:

Dhcj

Answer:

f(3)=15

Step-by-step explanation:

plug 3 in for x

f(3)=(4)+(12)-1=

16-1=

15

Step-by-step explanation:

y is a corresponding angle to the 35 degree angle so  y = 35°

'x' + the 35 degree angle form a straight line = 180 degrees

x + 35 = 180

x = 145°  

Format your answer as needed

The numeric values for the functions are given as follows:

6 - a) f(-2) = -13.

6 - b) g(4) = 11.

To find the numeric value of a function, we replace each instance of the variable by the desired value.

At item 6a, the function is given by:

f(x) = 5x - 3.

The numeric value at x = -2 is:

f(-2) = 5(-2) - 3 = -10 -3 = -13.

Hence f(-2) = -13.

At item 6b, the function is given by:

g(x) = 0.5x² + 3.

The numeric value at x = 4 is:

g(4) = 0.5(4)² + 3 = 8 + 3 = 11.

Hence g(4) = 11.

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Given that the volume of a square-based oblique pyramid is 125 m³ and the square base has sides of 5 meters, we can calculate the height of the pyramid using the formula for the volume of a pyramid. The height of the pyramid is approximately 25 meters.

The volume of a pyramid is given by the formula V = (1/3) * A_base * h, where A_base is the area of the base and h is the height of the pyramid. In this case, the volume is given as 125 m³, and the base is a square with sides of 5 meters. The area of a square base is calculated by squaring one of the sides, so A_base = 5² = 25 m².

We can substitute the known values into the volume formula:

125 = \(\frac{1}{3} * 25 * h\)

To solve for h, we can rearrange the equation:

125 = \(\frac{25}{3} * h\)

h = \(\frac{(125 * 3)}{25}\)

h = 15 * 3

h =45

Therefore, the height of the pyramid is approximately 45 meters.

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The complete question is: this square-based oblique pyramid has a volume of 125\text{ m}^3125 m 3 125, start text, space, m, end text, cubed. a slanted pyramid with a square base. the square base has sides of five meters. a slanted pyramid with a square base. the square base has sides of five meters. what is the height of the pyramid?

Answer:

x-intercept is (-3,0)

y intercept is (0,-4)

Step-by-step explanation:

See attached worksheet

Answer:     -9n+20

This is the same as 20-9n

================================================

Explanation:

The jump from 11 to 2 is "minus 9"

The jump from 2 to -7 is also "minus 9".

Assuming this pattern continues on, we have an arithmetic sequence with

The nth term can be found like so

\(a_n = a + d(n-1)\\\\a_n = 11 + (-9)(n-1)\\\\a_n = 11 -9n + 9\\\\a_n = -9n+20\\\\\)

Let's check the answer by trying n = 3

\(a_n = -9n+20\\\\a_3 = -9*3+20\\\\a_3 = -27+20\\\\a_3 = -7\\\\\)

This shows the third term is -7, which matches what the original sequence shows. The answer is partially confirmed. I'll let you check the other values of n. You should get 11 when trying n = 1, and you should get 2 when trying n = 2.

Answer:

No, the runner will not reach the goal in 4 minutes.

Step-by-step explanation:

There are 5280 feet in one mile, the runner is going at 20 feet a second so that accounts for 1200 feet a minute,

if we multiply 1200 by 4 we get 4800, which is less then 5280, as a result the runner will not have run enough feet in 4 minutes to get a mile.

Hope this was helpful, have a lovely day! <3

The number of ways a six-sided die can be constructed with different markings on each side is 720.

If we have a six-sided die, each side can be marked differently with dots. This means that we can have six different options for the first side, five different options for the second side (since one of the dots has already been used), four different options for the third side (since two of the dots have already been used), three different options for the fourth side, two different options for the fifth side, and only one option left for the sixth side.
Therefore, to find the number of ways a six-sided die can be constructed if each side is marked differently with dots, we need to multiply all of these different options together. That is, we need to find the product of 6 x 5 x 4 x 3 x 2 x 1, which is equal to 720.
Therefore, there are 720 different ways that a six-sided die can be constructed if each side is marked differently with dots. This is because there are 720 different permutations of six objects, where each object can only appear once, and the order matters.

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Answer:

The ninth term is 30

Step-by-step explanation:

Answer:

$3

Step-by-step explanation:

16 oz in a pound

Answer:

the answer is 589.4

Step-by-step explanation:

In doing this equation you do the order of operations:

(2.1 x 104)= 218.4

(3.5 x 106)= 371

you then add the answers together to get:

218.4 + 371 = 589.4

The amount of storage required to represent a simple graph with n vertices and m edges can vary depending on the chosen representation. Here's the storage requirement for each representation:

a) Adjacency lists:

In an adjacency list representation, we typically use an array of size n to store the vertices, and for each vertex, we maintain a linked list or an array to store its adjacent vertices. The space complexity of this representation is O(n + m), where n is the number of vertices and m is the number of edges.

Each vertex requires constant space, and each edge is represented by a link or entry in the adjacency list.

b) Adjacency matrix:

In an adjacency matrix representation, we use a 2D matrix of size n x n to represent the graph. Each entry (i, j) in the matrix represents whether there is an edge between vertices i and j. The space complexity of this representation is O(n^2), as we need to store n^2 entries for the complete matrix. However, if the graph is sparse (few edges compared to vertices), the space complexity can be reduced to O(n + m) by only storing the entries corresponding to the existing edges.

c) Incidence matrix:

In an incidence matrix representation, we use a 2D matrix of size n x m, where n is the number of vertices and m is the number of edges. Each entry (i, j) in the matrix represents whether vertex i is incident to edge j. The space complexity of this representation is O(n * m), as we need to store n * m entries for the matrix.

Similar to the adjacency matrix, if the graph is sparse, the space complexity can be reduced to O(n + m) by storing only the entries corresponding to the existing edges.

In summary:

a) Adjacency lists: O(n + m)

b) Adjacency matrix: O(n^2) or O(n + m) for sparse graphs

c) Incidence matrix: O(n * m) or O(n + m) for sparse graphs

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The period of the pendulum is the time for one complete cycle of the pendulum of a right swing and a left swing. The value of the length of the pendulum is 2 feet.

Given information-

The period of the pendulum is given as,

\(T = 2\pi \sqrt\frac{L}{32}\)

Here L  is the length of the pendulum is feet.

The value of the pi is 3.14.

The period of the pendulum is 1.57 seconds.

Period of the pendulum

The period of the pendulum is the time for one complete cycle of the pendulum of a right swing and a left swing.

The given period of the pendulum is,

\(T = 2\pi \sqrt\frac{L}{32}\)

Put the values,

1.57 = 2 × 3.14 √L/32

1.57 = 6.28 × √1/32 × √L

1.57 = 6.28 × 0.1768 × √L

Solve the equation for L,

√L = 1.57 / 1.11

√L = 1.414

L = 1.414²

L = 2

Thus the value of the length of the pendulum is 2 feet.

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Answer:

True

Step-by-step explanation:

It is ok for the inputs to have the same outputs, but not ok for the outputs to have the same inputs.