For any positive numbers a, b, and d, with b + 1, logo
= d.logy a.
A. da
B. ad. logo ad
оооо
c. logo a + logo d
+
D. ad

Answer:

divided both sides of the equation by 3

Step-by-step explanation:

Answer:

y = 25x + 200

Step-by-step explanation:

y =  the total cost of the party

x = the number of guests

75/3 = 25

25 is the cost per guest.

Helping in the name of Jesus.

Answer:

(10.78483, 12.61517)

Step-by-step explanation:

It is given that the genera mangers of few hotels were sent some questionnaires for conducting a study for the career paths in the major hotel chains of the United States.

Number of hotels = 160

Number of response received = 103

The average number of years these general mangers was in their current hotels, \($\bar x$\) = 11.7 years

Confidence Interval, CI = 0.99

Therefore,

a = 0.01, |Z(0.005)|  (from standard normal table)

∴ 99% of CI =  \($\bar x \pm Z \times \frac{s}{\sqrt n}$\)

                   \($= 11.7 \pm 2.58 \times \frac{3.6}{\sqrt {103}}$\)

                    \($(10.78483, 12.61517)$\)

Answer

0.823742

Step-by-step explanation:

just a genius

The linear equation that represent the distance d of Carlos from his starting position is d=3t+12 where d denotes the distance and t denotes the time.

What is the meaning of speed?

The speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined.

Given that when Carlos is 12 feet from his starting position, starts a timer.

He is 21 feet from his starting position after 3 s.

He covers (21 - 12) = 9 feet in 3 second.

The speed of an object is the distance that covers in unit time.

The Carlos's speed is 9/3 = 3 feet/s.

After t seconds, he covers (3×t) = 3t feet.

The distance of his from his starting position after t seconds is (3t + 12) feet.

The linear equation is d = 3t + 12.

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The area of the circle with the given radius is 201.088 square units.

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.

Given that, the radius of a circle is 8 units.

Here, area of a circle

= 3.142×8²

= 3.142×64

= 201.088 square units

Therefore, the area of the circle is 201.088 square units.

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It is False that

Explanation:

A vector in standard position has its starting point at (0, 0), and its terminal point at (a, b)

It is False

Answer:

Slope: 1

y-intercept: 8

Step-by-step explanation:

x, y

-8,0

0,8

Answer:

2:3

Step-by-step explanation:

It’s easy

Answer:

2.5

Step-by-step explanation:

i think

Answer:

48% were carrot sticks.

52% were apple slices.

Step-by-step explanation:

Given that:

Total number of snacks in the tray = 25

Number of carrot sticks = 12

Number of apple slices = 25 - 12 = 13

Percent of carrot sticks = \(\frac{Number\ of\ carrot\ sticks}{Total\ Number}*100\)

Percent of carrot sticks= \(\frac{12}{25}*100\)

Percent of carrot sticks = 0.48 * 100 = 48%

Percent of apple slices = \(\frac{13}{25}*100\)

Percent of apple slices = 52%

Hence,

48% were carrot sticks.

52% were apple slices.

Answer:

D    15:1

Step-by-step explanation:

15 apple trees

26 orange trees

1 cherry tree

apple trees : cherry trees

       15        :         1

Answer: D    15:1

Answer:

The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.

Step-by-step explanation:

o find the equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) using implicit differentiation, we can follow these steps:

Differentiate both sides of the equation with respect to x:

cos(x+y) * (1 + dy/dx) = 4 - 4dy/dx

Simplify by grouping the terms with dy/dx on one side and the rest on the other side:

cos(x+y) * (1 + dy/dx) + 4dy/dx = 4

Substitute x = π and y = π, since we want to find the equation of the tangent line at the point (π,π):

cos(2π) * (1 + dy/dx) + 4dy/dx = 4

Simplify:

-5dy/dx = 4 - cos(2π)

dy/dx = -4/5

Use the point-slope form of the equation of a line to write the equation of the tangent line:

y - π = (-4/5)(x - π)

Simplify:

y = (-4/5)x + (8/5) + π

The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.

Step-by-step explanation:

Least to greatest

= 0.919, 0.99, 1.09

Answer:.919,099,1.09

Step-by-step explanation:

Answer:

RST≈TSR FOR YOU PLAESE RANK ME HELPING HAND

Constructing an angle bisector using only a straightedge and compass involves drawing the Angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle.

To construct an angle bisector using a straightedge and compass, there are several steps that you need to follow. The correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass are listed below:

Step 1: Draw the angle ABC with a straightedge.

Step 2: Place the point of the compass on point B and swing an arc that intersects both lines that make up the angle. Label the two points where the arc intersects the angle as points D and E.

Step 3: Without changing the compass width, place the point of the compass on point D and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point F.

Step 4: Without changing the compass width, place the point of the compass on point E and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point G.

Step 5: Draw the line segment FG with a straightedge. This line segment is the angle bisector of angle ABC.

In summary, constructing an angle bisector using only a straightedge and compass involves drawing the angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle. Following these steps will allow you to construct the angle bisector of ABC accurately.

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Answer:

a = 23.588

Step-by-step explanation:

a^2 = 17 1/3^2 + 16^2

a^2 = 300.4 + 256

a^2 = 556.4

a = 23.588 (I rounded to thousandths but you can round to whatever)

Hello there,

Hope you could get an idea from it.

Doubt clarification - use comment section.

Answer:

D) \(22\:\text{m/s}^2\)

Step-by-step explanation:

Acceleration is the derivative of velocity, which is the derivative of position, so we must differentiate the function twice:

Position of Particle: \(s(t)=t^3-4t^2+2t+8\)

Velocity of Particle: \(v(t)=3t^2-8t+2\)

Acceleration of Particle: \(a(t)=6t-8\)

After \(t=5\) seconds, the acceleration of the particle is \(a(5)=6(5)-8=30-8=22\:\text{m/s}^2\)

The acceleration of the particle after 5 seconds is 38 m/s².

Acceleration is the rate of change of velocity or the slope of velocity.

We know that the first derivative of motion or speed is velocity and the second derivative of motion or speed is acceleration.

∴ We have to take the derivative of s = t³ + 4t² + 2t + 8 twice to obtain the equation of acceleration and replace t with 5 to get the acceleration value after 5 seconds.

Now, s = t³ + 4t² + 2t + 8 meters.

ds/dt = 3t² + 8t + 2 m/s.

d²s/dt² = 6t + 8m/s²

Now, at t = 5 seconds d²s/dt² = 6t + 8 is,

d²s/dt² = 6(5) + 8 m/s².

d²s/dt² = 38 m/s².

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The data set is approximately periodic with a period of 3 and an amplitude of about 7.5.

The period is the length of time it takes for the data to repeat itself. In this case, the data repeats itself every 3 hours. The amplitude is the distance between the highest and lowest values in the data set. In this case, the amplitude is about 7.5 cars.

Hour | Number of cars

------- | --------

1     | 90

2     | 52

3     | 76

4     | 75

5     | 91

6     | 104

7     | 89

8     | 105

9     | 119

10    | 103

11    | 121

12    | 135

As you can see, the data repeats itself every 3 hours. The highest value in the data set is 135 cars, and the lowest value is 52 cars. The difference between these two values is 83 cars, which is about 7.5 times the average number of cars (90 cars). Therefore, the amplitude of the data set is about 7.5 cars.

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Answer:

4.193

Step-by-step explanation:

you line up the decimals then subtract to get 4.193

Answer:

Principal = Total ÷ (1 + Rate)^years

That formula is found here: http://www.1728.org/compint2.htm

Principal = 3.000 / (1.03) ^ 15

Principal = 3.000 / 1.5579674166

Principal = $1,925.59

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a). The graph of y = -f(x) is shown in the image below.

(b). The graph of y = g(-x) is shown in the image below.

By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;

y = -f(x)

y = -|x + 2| - 4

Part b.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = rise/run

Slope (m) = -2/4

Slope (m) = -1/2

At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -1/2(x - 0)

g(x) = -x/2 + 5, -4 ≤ x ≤ 4.

y = g(-x)

y = x/2 + 5, -4 ≤ x ≤ 4.

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As we can see the only one is the option C

-5*(x-2y=11)=-5x+10y=-55

5x+3y=-11

then we add the equations

13y=-66

y=-66/13=-5.07

as we can see C is the correct answer

The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

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Answer:

60+30=90 degrees = complementary angles.

Step-by-step explanation:

The difference in volume between the two boxes would be = 156in³

To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;

Volume = length×width×height.

For box 1 = length = 12in, width = 7¾in, height= 2in

Vol = 12×7¾×2 = 186in³

For box 2; length = 3⅔in, width = 3½in, height= 2⅓in

Volume = 3⅔×3½×2⅓ = 30

The difference = 186-30 = 156in³

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Answer:

57327392393629324

Step-by-step explanation: