Yeah I figure that is what you meant

Answer:

So basically what you have to is divide the log as you see the word quotient, therefore you need to take log^6 30 and divide 30 by 5 which will give you 6 right. Do you understanding so far? Moreover, you see log^6 2 so 15x2=30 it just basically itself breaking down.

Answer:

Ram studied for longer time

Step-by-step explanation:

An hour = 60 minutes

Raj studied for 4/7 of an hour

= 4/7 of 60 minutes

= 4/7 × 60

= (4×60)/7

= 240/7

= 24.29 minutes

ram studied for 5/8 of an hour

= 5/8 of 60 minutes

= 5/8 × 60

= (5×60)/8

= 300/8

= 37.5 minutes

who studied for longer time?

Ram - Raj

= 37.5 - 24.29

= 13.21 minutes

Ram studied for longer time

Ram studied 13.21 minutes longer than Raj

The number of men T Shirts and how many women t shirts that were given to the nearest thousand will be 30000 and 17000 respectively.

It should be noted that based on the information illustrated, the marathon had 29967 men and 16,928 Women.

Therefore, the number of men T Shirts and how many women t shirts that were given to the nearest thousand will be:

29867 = 30000

16982 = 17000

Therefore, the number of men T Shirts and how many women t shirts that were given to the nearest thousand will be 30000 and 17000 respectively.

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In 2011 the marathon had 29967 men and 16,928 Women how many Men T Shirts and how many women t shirts were given to the nearest thousand.

Radius of the circle : Radius is the distance from the center outwards.

With the help of radius we can determine the following terms:

1. Diameter : Diameter is the twice of radius and it is teh staright line that passes through the center. Expression for the diameter is :

2. Circumference: Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. It express as:

3. Area of Circle: Area of a circle is the region occupied by the circle in a two-dimensional plane. It express as:

4. Center Angle of the Sector: Central angles are subtended by an arc between those two points, and the arc length is the central angle of a circle of radius one. It express as :

5. Arc length : An arc of a circle is any portion of the circumference of a circle. It express as :

In the given figure the radius is AO & BO

The magnitude of the resultant force is approximately 9.07 lb.

We have,

To use the parallelogram rule to find the magnitude of the resultant force for the two forces, we first draw a diagram:

         B (11 lb)

        /|

       / |

      /  |

     /   |

    /    |

   /     |

  /θ     |

 /       |

A (7 lb)  |

 \       |

  \      |

   \     |

    \    |

     \   |

      \  |

       \ |

        \|

         C

where A and B are the magnitudes of the given forces, and θ is the angle between them.

Using the parallelogram rule, we draw a parallelogram with sides AB and BC:

         B (11 lb)

        /|

       / |

      /  |

     /   |

    /    |

   /     |

  /θ     |

 /       |

A (7 lb) D

 \       |

  \      |

   \     |

    \    |

     \   |

      \  |

       \ |

        \|

         C

The diagonal BD represents the magnitude and direction of the resultant force.

To find its magnitude, we use the Law of Cosines:

BD^2 = AB^2 + BC^2 - 2(AB)(BC)cos(θ)

BD^2 = (7 lb)^2 + (11 lb)^2 - 2(7 lb)(11 lb)cos(133 degrees)

BD^2 = 49 + 121 - 2(77)cos(133 degrees)

BD^2 = 170 - 154cos(133 degrees)

BD ≈ 9.07 lb (rounded to two decimal places)

Therefore,

The magnitude of the resultant force is approximately 9.07 lb.

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The type of function that models the data in the table is a linear function with a difference of 2

From the question, we have the following table of values that can be used in our computation:

The table of values

The above definitions imply that we simply add 2 to the previous term to get the current term

This means that the function is a linear function

Hence, the type of function that models the data in the table is a linear function

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Question

Which best describes the function represented by the data in the table? linear with a common ratio of 2 linear with a common second difference of 2 quadratic with a common ratio of 2 quadratic with a common second difference of 2

x    y

0    0

1     2

2    4

3    6

4    8

Answer:

i think 0(-4)2

Step-by-step explanation:

Answer:

a. Possible outcomes for this chance experiment are:

(Here, D means a defective battery, and N means a nondefective battery.)

b. The number of outcomes in the sample space is infinite, as the experiment could potentially continue indefinitely. However, in practice, we can define a maximum number of batteries that could be examined before the experiment is stopped.

c. The event E, that the number of batteries examined is a number, would include outcomes where the experiment stopped at a particular number of batteries. For example, if the experiment stopped after examining three batteries (i.e., the fourth battery was nondefective), then the outcome would be DDDN, and it would be included in event E. However, outcomes where the experiment continued indefinitely (e.g., DDDDD...) would not be included in event E.

9514 1404 393

Answer:

  60

Step-by-step explanation:

Three consecutive integers in that range will all have the same sign, or they will include 0. Hence the largest product cannot include any negative numbers, but must have as factors the three largest positive numbers:

  3·4·5 = 60 . . . . the greatest possible product

_____

The product with the greatest magnitude is (-10)(-9)(-8) = -720.

(a) The sequence formed by the given numbers is: 40, 24, 56, 16, 36, 72, 8, 48, 32.

(b) The sum of the given arithmetic series is 324.

Based on the given table, we can observe the following pattern:

Using these patterns, we can fill in the missing entry in the second row as follows:

So, the completed table looks like this:

40 | 24 | 56 |

16 | 36 | 72 |

8 | 48 | 32 |

The sum of the series is calculated as;

S = n/2(a + l)

Using this formula, we can find the sum of the given arithmetic series. Since there are 9 terms in the series, and the first term is 40, and the last term is 32, we have:

S = 9/2 x (40 + 32)

S = 9/2 x 72

S = 324

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The measure of ∠EAC is 25°

It is given that the measure of ∠DAB is 25°

let AD = x and AB = y. Then, AE = 2 x and AC = 2 y, since AE and AC are 2 times longer than AD and AB, respectively.

AB / AC = AD / AE

y / 2 y = x / 2 x

1 / 2 = 1 / 2

We know that if two triangles are similar, then the ratio of its corresponding sides will be equal.

So triangle BAD similar to triangle CAE

So ∠DAB = ∠EAC

∠EAC =25°

Therefore, the measure of ∠EAC is 25°

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Step-by-step explanation:

remember, a parallelogram is a quadrilateral with 2 pairs of parallel and equal sides, and 2 pairs of correspondingly equal angles. and its diagonals are intersecting each other in their midpoint.

with that in mind

(i)

because ABCD is a parallelogram, AD = BC, and AB = CD.

and angle A = angle C (and angle B = angle D).

therefore, as AE = FC, this also means that ED = BF.

via SAS (side angle side) it is clear that the triangles ABE and CDF are congruent.

therefore, EB = DF.

as ED is part of AD, and BF is part of BC, it is also clear that ED || BF.

together with ED = BF this means that EB || DF.

so, we have with BEDF 2 pairs of parallel and equal sides. and that is a parallelogram.

(j)

BCDE and ABCG are parallelograms.

so, BC = DE = AG, CD = BE, AB = CG.

due to the midpoint intersection rule of the diagonals of parallelograms, we also know

GE = CG = AB, DG = BG.

and as CG || AB, then also GE || AB.

together with AB = GE that means that AE = BG and AE || BG.

so, we have with ABGE again 2 pairs of parallel and equal sides. and that is a parallelogram.

9514 1404 393

Answer:

  each is 55°

Step-by-step explanation:

The sum of angles in a trapezium is 360°, so the sum of the remaining two angles is 360° -250° = 110°. Each of those two equal angles will be ...

  110°/2 = 55°

The fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

To find the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9, we can set up a proportion.

Let's represent the unknown fraction as x. The ratio can be configured as follows:

x / (1/27) = (3/7) / (5/9)

To solve this proportion, we can cross-multiply:

(x * 5/9) = (3/7) * (1/27)

Simplifying the right side:

(x * 5/9) = 3/189

To eliminate the fraction on the left side, we can multiply both sides by the reciprocal of 5/9, which is 9/5:

(x * 5/9) * (9/5) = (3/189) * (9/5)

Simplifying further:

x = 27/35

Therefore, the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

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Answer: Fawesome, Peacock TV, Popcornflix.

Answer:

Down Here ↓↓↓↓↓

Picture Attached

Step-by-step explanation:

P is 1 1/4 units to the left of 0

R is 3/4 units to the left of 0

Q is 1/4 units to the right of 0

S is 1/4 units to the left of 0

-Chetan K

Given:

The functions are

\(f(x)=4x^2+7x-5\)

\(g(x)=-9x^2+4x-13\)

To find:

The functions \((f+g)(x)\) and \((f-g)(x)\).

Solution:

We know that,

\((f+g)(x)=f(x)+g(x)\)

\((f+g)(x)=4x^2+7x-5-9x^2+4x-13\)

\((f+g)(x)=(4x^2-9x^2)+(7x+4x)+(-5-13)\)

\((f+g)(x)=-5x^2+11x-18\)

And,

\((f-g)(x)=f(x)-g(x)\)

\((f-g)(x)=(4x^2+7x-5)-(-9x^2+4x-13)\)

\((f+g)(x)=4x^2+7x-5+9x^2-4x+13\)

\((f+g)(x)=(4x^2+9x^2)+(7x-4x)+(-5+13)\)

\((f-g)(x)=13x^2+3x+8\)

Therefore, the required functions are \((f+g)(x)=-5x^2+11x-18\)

and \((f-g)(x)=13x^2+3x+8\).

The value of sin A is, 7/25.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

The terminal side of angle A goes through the point (−24/25,7/25) on the unit circle.

Now, By definition we get;

⇒ cos A = - 24/25

⇒ Sin A = 7/25

Thus, The value of sin A is, 7/25.

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1. Flo Flea missed record for jumping from one dog's ear to the other by 7 mm and 2. Flynn Flea missed record by 1 mm.

When examining what two objects do not have in common, it is typical to start with their differences.

Given data:

1. Subtract Flo Flea' jump from  Record for jumping to get the number for record missed.

= 94 - 87

= 7 mm

Flo Flea missed record by 7 mm.

2. Subtract Flynn Flea' jump from  Record for jumping to get the number for record missed.

= 94 - 93

= 1 mm

Flynn Flea missed record by 1 mm.

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Answer:

-72x - 53y + 287 = 0.

Step-by-step explanation:

To find the equation of the image of the circle, we need to reflect each point on the circle in the given line mirror.

The line mirror equation is given as 4x + 7y + 13 = 0.

The reflection of a point (x, y) in the line mirror can be found using the formula:

x' = (x - 2Ay - 2B(Ax + By + C)) / (A^2 + B^2)

y' = (y - 2Bx + 2A(Ax + By + C)) / (A^2 + B^2)

where A, B, and C are the coefficients of the line mirror equation.

For the given line mirror equation 4x + 7y + 13 = 0, we have A = 4, B = 7, and C = 13.

Now, let's find the equations of the image of the circle.

The original circle equation is x² + y² + 16x - 24y + 183 = 0.

Using the reflection formulas, we substitute the values of x and y in the circle equation to find x' and y':

x' = (x - 2Ay - 2B(Ax + By + C)) / (A^2 + B^2)

= (x - 2(4)y - 2(7)(4x + 7y + 13)) / (4^2 + 7^2)

= (x - 8y - 8(4x + 7y + 13)) / 65

= (x - 8y - 32x - 56y - 104) / 65

= (-31x - 64y - 104) / 65

y' = (y - 2Bx + 2A(Ax + By + C)) / (A^2 + B^2)

= (y - 2(7)x + 2(4)(Ax + By + C)) / (4^2 + 7^2)

= (y - 14x + 8(Ax + By + C)) / 65

= (y - 14x + 8(4x + 7y + 13)) / 65

= (57x + 35y + 104) / 65

Therefore, the equation of the image of the circle is:

(-31x - 64y - 104) / 65 + (-57x + 35y + 104) / 65 + 16x - 24y + 183 = 0

Simplifying the equation, we get:

-31x - 64y - 57x + 35y + 16x - 24y + 183 + 104 = 0

-72x - 53y + 287 = 0

So, the equation of the image of the circle is -72x - 53y + 287 = 0.

Answer:

Use the given functions to set up and simplify f(−4).

14

Step-by-step explanation:

Plug x + h into the function f and simplify to find f(x + h). Now that you have f(x + h), find f(x + h) - f(x) by plugging in f(x + h) and f(x) and simplifying. Plug your result from step 2 in for the numerator in the difference quotient and simplify.

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The correct equation is:

39 × 3 = 30 × 3 + 9 × 3

This equation shows that multiplying 39 by 3 is equal to the sum of multiplying 30 by 3 and multiplying 9 by 3.

Therefore, the answer is:

39 × 3 = 30 × 3 + 9 × 3

The data-set represented by the histogram is given as follows:

{0.50, 2.00, 2.52, 3.37, 4.53, 5.00, 8.99}.

An histogram is a graph that shows the number of times each element of x was observed, or also the number of times that observations in a determined range were observed.

From the histogram given in this problem, the numbers are given as follows:

Hence the correct data-set that is represented by this histogram is given as follows:

{0.50, 2.00, 2.52, 3.37, 4.53, 5.00, 8.99}.

Which means that the correct option is the first option.

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We can see here that matching the steps for constructing a congruent line segment to their pictures, we have:

Step 1 - Picture a

Step 2 - Picture b

Step 3 - Picture c

Step 4 - Picture c.

Any portion of a line with two ends and a set length is referred to as a line segment. It differs from a line that has neither a beginning nor an end and can be stretched in both directions.

The endpoints of a line segment can be used to define it. The portion of the line that begins at point A and finishes at point B, for instance, is known as the line segment AB.

A ruler or measuring tape can be used to determine the length of a line segment. The distance between two line segments' endpoints is the segment's length.

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Answer:

Step-by-step explanation:

Answer:

(6,9)

Step-by-step explanation:

Answer:

86.15N

Step-by-step explanation:

70N/6.5m/s^2 * 8m/s^2

= 86.15N