NEED HELP ASAP After applying the composition Ro0.90 r; to RS, what are the coordinates of R' and S'?

A. R'(-3, 1), S'(-3,5)

B. R'(-1,3), S'(-5, 3)

C. R'(1,3), S'(5,3)

D. R'(5, 3), S'(1,3)

Answer:

the 2.5 cup

Step-by-step explanation:

0.89÷2=0.445

1.10÷2.5=0.44

1.75÷3.5=0.5

Answer:

40°, 43°, 60°

Step-by-step explanation:

In each triangle, you are given the measures of two angles. Subtract those two measures from 180° to find the measure of the third angle.

Triangle A:

c = 180° - 90° - 50°

c = 40°

Triangle B:

c = 180° - 112° - 25°

c = 43°

Triangle C:

c = 180° - 70° - 50°

c = 60°

After solving the given  logarithmic expression we get

1. \(log_5 k + log_5 2 = log_5 (k\times2)\)

2. \(2 log_5 k = log_5 k^2\)

3. \(log_5 k - log_5 7 = log_5 (k/7)\)

4. \(log_3 k/log_3 5 = log_5 k/log_5 3\)

5. \(log_5 k + log_25 k = log_5 k^3\)

6.  \(log_3 k^2\)/\(log_3\) 25 = \(2 log_3 (k/5)\)

The power to which a number must be increased in order to obtain another number is known as a logarithm.

Following are the Four Basic Properties of Logs by using which we can solve the given expressions.

\(log_b(xy) = log_bx + log_by\\log_b(x/y) = log_bx - log_by\\log_b(xn) = n log_bx\\log_bx = log_ax / log_ab\)

Using logarithmic properties, we can rewrite each expression as follows:

1. \(log_5 k + log_5 2 = log_5 (k\times2)\)

2. \(2 log_5 k = log_5 k^2\)

3. \(log_5 k - log_5 7 = log_5 (k/7)\)

4. \(log_3 k/log_3 5 = log_5 k/log_5 3\)

5. \(log_5 k + log_25 k = log_5 k + 2 log_5 k\)

\(log_5 k + log_25 k = 3 log_5 k\)
\(log_5 k + log_25 k = log_5 k^3\)

6.  \(log_3 k^2\)/\(log_3\) 25 = \(2 log_3 k - 2 log_3 5\)

 \(log_3 k^2\)/\(log_3\) 25 = \(2 log_3 (k/5)\)

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Question

For each expression, give an equivalent expression that is of the form \(log_5(*)\), where * is an expression with numbers and possibly the variable k.

1. \(log_5\) k + \(log_5\) 2 =          2. 2 \(log_5\) k =

3. \(log_5\) k - \(log_5\) 7 =          4. \(log_3\)k / \(log_3\) 5 =

5. \(log_5\) k + \(log_{25}\) k =       6. \(log_3 k^2\)/\(log_3\) 25 =

Answer:

The graph is a function because of the vertical line test.

The second one is not a function because it has 2 of the same x coordinate.

The third one is not a function because it has 2 of the same x coordinate.

MARK ME BRAINLIEST!

Answer:

1. Yes

2. Yes

3. No.

Step-by-step explanation:

1. Only one output y for the same x values

2. Only one output y for the same x values  

3. More than one output y for the same x values  

A function is a relation in which each input has only one output. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y

For Researchers estimate the population mean, the total number of miles driven in a week by all participants in the study is equals to the 27 miles.

We have, a Researchers estimate the population mean for Seattle, \( \mu_1\) = 279 miles

And population mean of Sarasota, \( \mu_2\) = 152 miles

We have to estimate the total number of miles driven in a week by all participants. The point estimate of population is defined as the difference between the two population means. Thus, \( \mu_1 - \mu_2\)

= 279 - 152

= 27 miles

Hence, the required value is 27 miles.

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If the time step used in the fourth-order Runge-Kutta approximation is reduced by a factor of 10, the error of the approximation is reduced by a factor of 1000.

The error of a fourth-order Runge-Kutta approximation of a differential equation is typically proportional to the time step cubed, assuming the function being approximated is sufficiently smooth.

Therefore, if the time step is reduced by a factor of 10, the error should be reduced by a factor of \(\(10^3\)\), or 1000.

In general, for a fourth-order Runge-Kutta method, if you reduce the time step by a factor of \(\(n\)\), the error is expected to decrease by a factor of \(\(n^3\)\).

Reducing the time step used in a fourth-order Runge-Kutta approximation by a factor of 10 will lead to a reduction in the error of the approximation by a factor of 1000.

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Reserve Requirement

Took the test got 100

Answer:

Its D

Step-by-step explanation:

Reserve Requirement I got it right on my test

Answer:

a^7/8^2

Step-by-step explanation:

Here, we want to write the expression using only positive exponents

An important rule for indices to use here is that;

a^-b = 1/a^b

thus;

8^-2 = 1/8^2

So we have;

1/8^2 * a^7

= a^7/8^2

Answer:

true

Step-by-step explanation:

yes the statement is correct

The diameter of the largest wheel on Denise's scale model is 3.75 inches.

so that the correct answer is option (a).

To determine the diameter of the largest wheel on Denise's scale model, we need to use the same scale that was used to create the length of the model train. The scale can be expressed as a ratio of the length of the actual train to the length of the scale model. In this case, the scale is:

Scale = Actual length / Model length = 80 feet / 5 feet = 16

Next, we need to use the scale to find the diameter of the largest wheel on the scale model. We can do this by multiplying the actual diameter of the wheel by the scale factor. The actual diameter of the largest wheel is 60 inches. Multiplying by the scale factor of 16 gives:

Diameter of largest wheel on scale model = Actual diameter of largest wheel / Scale factor

= 60 inches /16 = 3.75 inches

The correct answer is actually 3.75 inches, which is option (a).

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Answer:

The first law of motion

Step-by-step explanation:

We have to solve the following inequality:

There are 2415 females in the country.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

There are 3450 people in a country.

It was recently estimated that females outnumber males by seven to three.

That means,

70% are the females.

So, the number of females,

= 70% of, 3450

= 70 x 3450 / 100

= 2415.

Therefore, 2415 females are in the country.

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1. The balloon's initial temperature was ____ °C.

2. The temperature of the oil is ____ °C.

1. To find the balloon's initial temperature, we can use the combined gas law, which states that the initial pressure times the initial volume divided by the initial temperature is equal to the final pressure times the final volume divided by the final temperature. Given that the volume changes to 76.4% of its initial volume and the final temperature is -80.0 °C, we can solve for the initial temperature. First, we convert the volume change to a decimal by dividing 76.4% by 100, giving us 0.764. Plugging in the values into the combined gas law equation, we can rearrange it to solve for the initial temperature.

2. To determine the temperature of the oil, we can use the ideal gas law, which states that the pressure times the volume divided by the temperature is equal to the gas constant times the number of moles. Since the volume remains constant and we are given the initial and final pressures, we can solve for the temperature. By plugging in the values into the ideal gas law equation and solving for the temperature, we can find the temperature of the oil in °C.

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Answer:

3:10

Step-by-step explanation:

In order to find the ratio of red to green sweets, we first need to find the ratio of yellow to green sweets. We know that the ratio of yellow to green is 1:5 and we also know that the ratio of red to yellow is 3:2.

We can use this information to find the ratio of red to green by cross-multiplying the ratio of red to yellow and the ratio of yellow to green.

So (3:2) x (1:5) = (3:10)

This means the ratio of red to green is 3:10.

Alternatively, we can find the ratio of red to green by using the following formula:

(red:yellow) x (yellow:green) = (red:green)

So (3:2) x (1:5) = (3:10)

The ratio of red to green is 3:10.

Answer:

Step-by-step explanation:

The ratio of red : yellow = 3:2 and yellow:green = 1:5

So, the ratio of red : yellow : green = 3:2:5

To find the ratio of red: green, we can find the ratio of red : yellow : green and then divide the red and green portions.

So, the ratio of red: green = (3/(3+2+5)) : (5/(3+2+5)) = 3/10 : 5/10 = 3:5

Answer:

5/53

Step-by-step explanation:

The equivalent expression to the given one is -sin(pi/6).

The given expression is:

sin(7pi/6)

Where the argument is in radians.

Remember that:

sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)

Now we can rewrite:

sin(7pi/6) = sin(pi + pi/6)

Then we can use the above relation to rewrite:

sin(pi + pi/6) = sin(pi)*cos( pi/6) + sin(pi/6)*cos(pi)

And we know that:

sin(pi) = 0

cos(pi) = -1

Then we can write:

sin(7pi/6) = - sin(pi/6)

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Answer:

1

Step-by-step explanation:

Answer:

3) girls = 24% = 456

let the total number of students be = x

\( \frac{24}{100} \times x = 456\)

\(x = 456 \times \frac{100}{4} \)

\(x = 1900\)

the total number of students is 1900

4) increase = 20%

new salary = 24000 rupees

let his original salary be = y

\( \frac{20}{100} \times y = 24000 - y\)

\(0.2y = 24000 - y\)

\(0.2y + y = 24000\)

\(1.2y = 24000\)

\(y = \frac{24000}{1.2} \)

\(y = 20000\)

his original salary is 20,000 rupees

The statements that are true are A, B, C, and D.

When a variable varies directly with the other variable, i.e. on increasing one variable the other variable also increases, this relation is called Direct Variation.

Let x represent the number of tickets sold

Let y represent the amount of money earned from ticket sales.

y ∝ x

y = kx

k is the proportionality constant.

The given equation is y = 2/3 x

This is similar to the equation of straight line y = mx +c.

m is the slope.

m = 2/3

The y is in a proportional relationship, with a proportionality constant = 2/3.

If x is changed by 3 units, the y will change by,

Δy = ( 2/3) * 3

Δy = 2

y / x = 2/3

So, the unit rate of change of y with respect to x is 2/3.

The graph is attached with the answer,

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The dependent variable of interest in examining whether the degree of parental involvement differs based on students' grade in school is the degree of parental involvement.

In this scenario, the independent variable is the students' grade in school (i.e., first, second, third, etc.). The dependent variable is the variable that is expected to be influenced by the independent variable. In this case, the dependent variable of interest is the degree of parental involvement.

The degree of parental involvement refers to the level or extent to which parents are engaged in their child's education and school-related activities. It can encompass various aspects, such as attending parent-teacher meetings, volunteering at school, helping with homework, and participating in school events.

By examining whether the degree of parental involvement differs based on students' grade in school, researchers or educators aim to explore any potential patterns or differences in parental involvement as children progress through different grade levels. This investigation can provide insights into how parental involvement may vary across grade levels and inform strategies to enhance parental engagement in education at specific stages of a child's schooling. Thus, the dependent variable of interest is the degree of parental involvement.

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The velocity and position of a body moving through a resisting medium with resistance proportional to its velocity are given by v(t) = v₀e^(-kt) and x(t) = x₀ + (v₀/k)(1-e^(-kt)), respectively.

We are given that the resistance of the medium is proportional to the velocity of the body, so we can write

F = -kv

where F is the force acting on the body, k is the proportionality constant, and v is the velocity of the body. Since F = ma (Newton's second law), we have

ma = -kv

Dividing both sides by m and rearranging, we get

dv/dt = -k/m × v

We can now solve this differential equation by separation of variables

dv/v = -k/m × dt

Integrating both sides, we obtain

ln|v| = -k/m × t + C

where C is the constant of integration. Exponentiating both sides, we get

|v| = e^(-k/m × t + C) = e^C × e^(-k/m × t)

Note that since v is always positive (it's the speed of the body), we can drop the absolute value signs. Also, since e^C is just a constant, we can write

v = v₀ × e^(-k/m × t)

where v₀ = e^C is the velocity of the body at time t=0.

Next, we can find the position of the body by integrating the velocity

dx/dt = v

Integrating both sides, we obtain

x(t) = x₀ + ∫ v(t) dt

where x₀ is the position of the body at time t=0. Substituting v(t) = v₀ × e^(-k/m × t), we get:

x(t) = x₀ + ∫ v₀ × e^(-k/m × t) dt

Integrating, we obtain:

x(t) = x₀ - (m/k) × v₀ × e^(-k/m × t) + A

where A is the constant of integration. We can determine A by using the initial condition x(0) = x₀, which gives

x(0) = x₀ - (m/k) × v₀ × e^(0) + A

A = x₀ + (m/k) × v₀

Substituting this into the equation for x(t), we finally get

x(t) = x₀ + (v₀/k) × (1 - e^(-k/m × t))

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The given question is incomplete, the complete question is:

Suppose that a body moves through a resisting medium withresistance proportional to its velocity v , so that dv/dt =-kv. Show that its velocity and position at time t are given by v(t)= v₀e^(-kt) and x(t) = x₀ +(v₀ / k)(1-e^(-kt)).

Answer:

- 37

Step-by-step explanation:

5 • 2 • ( - 4 ) + 6 ÷ 2

= 5 • 2 • ( - 4 ) + [ 6 ÷ 2 ]

= 10 • ( - 4 ) + 3

= - 40 + 3

= - 37

14.95 divided by 65 is approximately 0.2292.

To estimate and divide 14.95 by 65 using the standard algorithm, we follow these steps:

Estimate the quotient:

Based on the values given, we can estimate that 14.95 is close to 15, and 65 is close to 60. So, we can estimate the quotient to be around 15/60, which simplifies to 1/4.

Perform long division:

Now, let's divide 14.95 by 65 using the standard algorithm:

0.2292 (quotient)

______________

65 | 14.95

First, we divide 14 by 65, which results in a quotient of 0. Then, we bring down the decimal point and divide 149 by 65. The quotient is 2, and we have a remainder of 19. We bring down the next decimal place, which is 5, and divide 195 by 65. The quotient is 3, and there is no remainder.

The final quotient is approximately 0.2292.

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Answer:

C. 69 (nice)

Step-by-step explanation:

Sine: Opposite side over hypotenuse

Cosine: Adjacent side over hypotenuse

Tangent: Opposite side over adjacent side

Respective to angle O, we are given the adjacent side, 5, and the hypotenuse 14, so we can use cosine.

cos(O)=5/14

O=arcsin(5/14)≈69.0752

The answer is 69.

The line through the points  (0, 0) and (8, 1) is  y = x/8   .

How do slope and an example work?

The slope-intercept form of an equation is used to represent each time the equation of a line is stated as y = mx + b.

                                  M represents the line's slope. B is the b in the location where the y-intercept is located (0, b). The slope and y-intercept of the equation y = 3x - 7 are, for instance, 3 and 0, respectively.

In the question ,

it is given that ,

we have to fin the equation of the line that passes through the points  (0, 0) and (8, 1) .

we know that the equation of the line in slope intercept form is written as

y = mx  c , where m is slope of line .

and m(slope) between the points (a,b) and (c,d) can be found using the formula ,

slope = (d - b)/(c -a)

Substituting the values in the formula ,

we get ,

slope = (1-0)/(8-0)

= 1/8

The equation of the line passing through the points (0,0) with slope as 1/6 is

0 = (1/8)(0) + c

c = 0 ,

we get , y = (1/8)x + 0

y = x/8

Therefore , the line is y = x/8

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Answer:

a= -5

Step-by-step explanation:

Answer:

a = -5.

Step-by-step explanation:

x(3x+1) - 2(3x-5)

= 3x^2 + x - 6x + 10

= 3x^2 - 5x + 10

Comparing this term by term with

3x^2 + ax + 10 we see a = -5.

The graph of the quadratic parent function, f(x) = x^2, has several characteristics. Here are the ones that apply:

1. Axis of symmetry: The graph is symmetrical with respect to the vertical line called the axis of symmetry. It is given by the equation x = 0.

2. Vertex: The vertex of the graph is the lowest or highest point on the curve. For the quadratic parent function, the vertex is at the point (0, 0).

3. Shape: The graph is a U-shaped curve called a parabola. The opening direction of the parabola depends on the coefficient of x^2. If it is positive, the parabola opens upwards, and if it is negative, the parabola opens downwards.

4. Increasing and decreasing intervals: The graph is increasing to the left of the vertex and decreasing to the right of the vertex.

These are the characteristics of the graph of the quadratic parent function.

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Answer:

Step-by-step explanation:

Using the SOh CAH TOA identity'

tan theta = opposite/adjacent

For <C

opposite = √22

adjacent = 6

tan <C = √22/6

<C = arctan √22/6

<C = arctan 0.7817

<C = 38.015 degrees

hence tan <C from the solution is √22/6