A penguin walks south. it completes the first 1/3 mile in 1/5 hour and continues walking at the same rate. what is the penguin's speed in miles per hour?

Answer:

Step-by-step explanation:

negative

Answer:

[tex]t=\frac{8x-24}{7}\\[/tex]

Step-by-step explanation:

[tex]\frac{7}{8}t+3=x\\\frac{7}{8}t=x-3\\7t=8x-24\\t=\frac{8x-24}{7}[/tex]

Pretty simple, basic algebra.

1. Switch the sides to make it easier to read

2. Subtract 3 on both sides

3. Divide both sides by 8 to cancel the denominator

4. Divide both sides by 7 to isolate the y

Part a

[tex](f \circ g)(x)=f(g(x))=\sqrt{x+9}[/tex]

Part b

[tex](g \circ f)(x)=g(f(x))=\sqrt{x}+9[/tex]

Part c

[tex](f \circ g)(7)=\sqrt{7+9}=4[/tex]

Part d

[tex](g \circ f)(7)=\sqrt{7}+9[/tex]

PLUG IN THE VALUE 4 IN THE PLACE OF Y AND SIMPLIFY

[tex] = 6(4) - 78 \\ = 24 - 78 \\ = - 54[/tex]

HOPE THIS HELPS

The best choice for the location of the square root of 377 is B. less than 20.

It should be noted that the square root of a number simply means the number that we can multiply but itself which will give the original number.

In this case, it should be noted that the square root of 377 is 19.4. It should be noted that this is close to 20.

Therefore based on the options given the correct option is B.

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Which point is the BEST choice for the location of ✓377?

Less than 15

Less than 20

Less than 14

More than 10

Answer:

B

Step-by-step explanation:

Based on the points given for the line in the table, the equation in slope intercept form is y = -1/2 + 1

To find the equation of a line, you first need to find the slope of the line as:

= Change in y / Change in x

= (0 - 1) / (2 - 0)

= -1 / 2

= - 1/2

Using the slope, find the y-intercept:

y = slope(x) + y-intercept

0 = -1/2(2) + y-intercept

y-intercept = 0 + 1

y-intercept = 1

The equation in slope-intercept form is:

y = -1/2 + 1

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The common difference of the AP is 4.33 and its first term is 30.

The formula to calculate the nth term of an Arithmetic Sequence is -

a - first term of A.P.

d - Common difference of A.P.

n - position of term

Given is the 1st term of an AP as 30 while the Sum of the its first 7 terms is 56.

We have -

[a] = 30

and -

a + (7 - 1)d = 56

30 + (6)d = 56

6d = 56 - 30

6d = 26

d = 26/6

d = 13/3

d = 4.33

and

the first term of the AP is 30.

Therefore, the common difference of the AP is 4.33 and its first term is 30.

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The mean score in the fifth game that will allow you to advance is 73.

The mean score in the fifth game that will allow you to advance can be gotten this way:

Assign the mean score, the variable, and x.

Compute the scores with remarks as follows:

95 + 91 + 77 + 89 + x  ≥ 85

              5

352 + x ≥ 85

      5

85 × 5 = 425

352 + x ≥ 425

x = 425 - 352

x = 73.

So, the score in the fifth game that will allow you to advance will be 73.

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The height till which the ladder will reach the wall will be 3.84 m.

For the given question,

The distance between the base of the ladder and the wall is 1.4 m.

The angle made by base of the ladder to the floor is 70 degree.

Let the height till which the ladder goes be 'h'.

Then, applying the trigonometric identity.

tan 70 = h/1.4

h = 1.4 × tan 70

h = 3.84 m

Thus, the height till which the ladder will reach the wall will be 3.84 m.

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Given the transformations of the graph of f(x)=6x, the function rule g(x) is therefore g(x) = -1/2x.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location. Transformations can be divided into four categories: translation, rotation, reflection, and enlargement. You must be able to carry out each transformation and recognize which ones have already been done.

Given Data

f(x) = 6x

The resulting function will be f(x) = -6x if the function is not reflected over the x-axis.

The final function rule will be; if the resulting function is compressed by a factor of 1/12.

g(x) = 1/12(-6x)

g(x) = -1/2x

Given the transformations of the graph of f(x)=6x, the function rule g(x) is therefore g(x) = -1/2x.

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Step-by-step explanation:

1. find how many are not working

20 - 7 = 13

2. make this into a fraction:

13/20

3. make equivalent to x/100

do this by multiplying by 5

13/20 = 65/100

65/100 is 65% which don't work

Answer:

65%

Step-by-step explanation:

20-7=13, 13/20=0.65, 0.65*100=65 (Which leaves you with your answer)

Answer for 1: 16.4
Answer for 2: 10.095
Answer for 3: 7.431
Answer for 4: 2.31
Answer for 5: 42.74
Answer for 6: 10.224
Answer for 7: 4.436
Answer for 8: 20.574
Answer for  9: 35.626
Answer for 10: 31.042
Answer for 11: 84.708
Answer for 12: 53.066
Answer for 13: 0.0061
Answer for 14: 7.092
Answer for 15: 1.463
Answer for 16: 92.0898

I hope this helps :)

Using linear functions, it is found that:

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

In the context of this problem, it is used because the rate of change for each plan is constant, that is, for each device, there is a constant increase in the plan charge.

For the plans in this problem, we have that:

Hence the models for each plan are given as follows, with P representing the number of devices.

The costs will be the same when:

F(P) = M(P)

Hence we solve for P to find the number of plans as follows:

90 + 40P = 120 + 35P

5P = 30

P = 6 devices.

For 3 smartphones, the costs are given as follows:

210 < 225, hence the Family Plan is more affordable.

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Answer: a= 3b + 4c -8

Step-by-step explanation:

a= 3b + 4c -8

-2a + 6b = -8c + 16

-6b from the left the isolate a

-2a = -6b - 8c + 16

then divide by -2 to cancel it out

a = 3b + 4c -8

The equation is equivalent to -2a + 6b = -8c + 16 will be a= 3b + 4c -8

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

We are given the linear equation;

a= 3b + 4c -8

-2a + 6b = -8c + 16

-6b from the left the isolate a

-2a = -6b - 8c + 16

Then divide by -2 to cancel it out;

a = 3b + 4c -8

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No the value of functions are not same .

What is function in math?

  - 5 × ( -5)⁻⁹  =  -5 ×  1/-5⁹  ⇒ 1/5⁸  = 1/390625

[ -5 × (-5)]⁻⁹ = [25]⁻⁹  = 1/25⁹ = 1/3814697265625

No the value of functions are not same .

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Since the microwave raises the temperature of water by about 80°F in 5 minutes, the graph that has the slope that represents this rate of increase is option A.

Temperature is seen as a given unit used to stand for hotness as well as the coolness  of a given object or thing, it is said to be mostly  in Fahrenheit as well as Celsius.

Based on temperature, heat energy is one that tends to shift from a hotter  part of a body  to a colder part of the same body.

Note that:

Temperature = 80

Minutes = 5

Y = m

5m  = 80

m = 80/5

m = 16

So y  = 16x

Therefore, the graph that can give you the value above is graph A.

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The name for this new group of tiles will be three x² tiles, eight x tiles and nine unit tiles.

Based on the information, it should be noted that the following can be illustrated:

Number of x² tiles = 2 + 1 = 4

Number of x tiles = 3 + 5 = 8

Number of units tiles = 1 + 8 = 9

In this case, this is appropriately illustrated as three x² tiles, eight x tiles and nine unit tiles.. This will be the new name.

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Answer/Step-by-step explanation:

y = -x - 3

m = slope = (-1/1)

b = y-intercept = -3 or (0, -3)

Point 1: (0, -3)

Point 2: (-1, -2)

Point 3: (1, -4)

I hope this helps!

Answer:

Step-by-step explanation:

  y=-x-3

x | -3 | 0 |

y |  0 | -3|

1) x=-3

y=-(-3)-3

y=3-3

y=0

Thus, (-3,0)

2) x=0

y=-0-3

y=-3

Thus, (0,-3)

The coordinates of the image of point D are (- 6, - 4) and a representation  of the rigid transformation is shown in the picture attached below.

Herein we find the location of point D, which is set on Cartesian plane and must be modified by the use of a rigid transformation known as dilation. The general definition of the dilation rule is defined below:

D'(x, y) = O(x, y) + k · [D(x, y) - O(x, y)]

Where:

If we know that O(x, y) = (0, 0), D(x, y) = (- 3, - 2) and k = 2, then the coordinates of the image are:

D'(x, y) = (0, 0) + 2 · [(- 3, - 2) - (0, 0)]

D'(x, y) = (- 6, - 4)

Now we proceed to present the location of the image on the Cartesian plane.

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The image of triangle CDE after a rotation of 90º counterclockwise around the origin is graphed at the end of the answer.

When a polygon undergoes a rotation, this rotation is over an angle measure, that defines the coordinate rule for each vertex of the polygon.

For triangle CDE, the vertices are given as follows:

D(-7,-1), C(-7,-7), E(-4,-8).

The rule for a rotation of 90º counterclockwise around the origin, for each vertex (x,y) of the polygon, is given by:

(x,y) -> (-y,x).

Hence, applying the rule above, the vertices of the image of triangle CDE will be given as follows:

D'(1,-7), C'(7,-7), E'(8,-4).

The triangle, with these vertices labeled, is graphed at the end of the answer.

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Answer: the answer is 10.875

Hope this helped :D

Answer:

10 7/8 Here you go :) ten seven eights

Step-by-step explanation:

Answer: 14 is the number

Step-by-step explanation:

The equation of the required line is y = - 2x + 11

We need to find the equation of the line parallel to the given line y = -2x + 5 that contains C(4, 3)

Let m be the slope of the required line.

The slope of the line y = -2x + 5 is -2

We know that, the slope of the parallel lines is equal.

So, m = -2

The required line contains point C(4, 3)

Using point-slope form the equation of the line would be,

(y - y1) = m(x - x1)

y - 3 = -2(x - 4)

y - 3 = -2x + 8

y = -2x + 8 + 3

y = -2x + 11

Therefore, the equation of the required line is y = - 2x + 11

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Answer:

30

Step-by-step explanation:

[tex]e^{-5 \lambda}[/tex] is the probability that we have to wait for more than 5 min for the bus to arrive.

So, [tex]f_X(x)=\lambda e^{-\lambda x}, x \geq 0[/tex] ⇒ [tex]P(x \geq 5)=\int_5^{\infty} f_X(x) d x[/tex]

Now, solving the above function as follows:

[tex]\begin{aligned}&P(x \geq 5)=\int_5^{\infty} f_X(x) d x \\&=\int_5^{\infty} \lambda e^{-\lambda x} d x \\&=\left.\right|_5 ^{\infty} \frac{\lambda e^{-\lambda x}}{-\lambda} \\&=\left.\right|_5 ^{\infty}-e^{-\lambda x} \\&=e^{-5 \lambda}\end{aligned}[/tex]

Therefore, the probability that we have to wait for more than 5 min for the bus to arrive is [tex]e^{-5 \lambda}[/tex].

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The correct question is given below:
Suppose that the buses arrive are scheduled to arrive at a bus stop at noon are always X minutes late, where X is an exponential random variable with probability density function  [tex]f_X(x)=\lambda e^{-\lambda x}, x \geq 0[/tex]. Suppose you arrive at the bus stop precisely at noon. Find the probability that you have to wait for more than 5 min for the bus to arrive

Answer:

264

Step-by-step explanation:

The area of the base is [tex]\pi(8)^2=64\pi [/tex].

So, the surface area is [tex]\pi(8)(25)+64\pi=264\pi[/tex]

The number of centers that will be needed to contain the guests is 5.

It should be noted that the question isn't well written but will be answered based on the information given.

From the information, a space center can have at most 7 guests and there are 31 guests. In this case, the number of space centers needed will be calculated by dividing the number of guests by the numbers that are contained in each center.

This will be:

= Number of guests / Number contained by each center

= 31 / 7

= 4 3/7

In this case, since there's a remainder of 3, this implies that we will need an extra space center. Therefore,the total space centre will be:

= 4 + 1

= 5

In this case, the value of 5 that's gotten simply shows the number of space centers that will be needed.

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Answer:

[tex]x=-2, x=\frac{4}{3}, x = 3[/tex]

Step-by-step explanation:

First, factor it.

[tex](x+2)(3x-4)(x-3)=0[/tex]

Use the Zero Factor Principle and equate them each to 0.

[tex]x+2=0\\x=-2\\\\3x-4=0\\x=\frac{4}{3}\\\\x-3=0\\x=3[/tex]

This is how you find the roots of [tex]3x^3-7x^2-14x+24[/tex].