What is the distance, in units, from the school to the library and district from the library to the park.

The constant of proportionality between the pages read and the time is 1.25

It is a constant relationship between different measurable quantities.

Data of the problem:

We calculate the rate, dividing the number of page by the time passed and we get:

Rate = pages/time

Rate = 10/8

Rate = 1.25

Rate = 15/12

Rate = 1.25

Rate = 25/20

Rate = 1.25

We also can calculate with the formula:

y = mx

Where:

10 = m*8

m = 10/8

m = 1.25

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A grizzly bear's normal heart rate when not hibernating is 50 beats per minute.

What is a heart rate?

The number of heartbeats that occur in a specific amount of time, usually one minute. The wrist, side of the neck, back of the knees, top of the foot, groin, and other areas of the body where an artery is close to the skin can all detect the heartbeat.

Here,

We let his normal heart rate = h

and given in the question,

20% of h = 10

20/100 * h = 10

h = 10*5

= 50 beats/min

Hence, a grizzly bear's normal heart rate when not hibernating is 50 beats per minute.

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Answer:

see explanation

Step-by-step explanation:

(a)

∠ XBC = 55° because it corresponds to ∠ AXY

(b)

since XB = XC then Δ XBC is isosceles with base angles congruent, that is

∠ XBC = ∠ XCB = 55°

the sum of the 3 angles in Δ XBC = 180° , then

∠ BXC + 55° + 55° = 180°

∠ XBC + 110° =180° ( subtract 110° from both sides )

∠ XBC = 70°

Answer:

19/7

Step-by-step explanation:

Answer:

Sally has been measuring the tree for 4 months

Step-by-step explanation:

The correct question is as follows;

Sally has been measuring the tree in her yard for a science project. The tree has grown 1/2 of an inch each month and grown a total of 2 inches taller. How many months has Sally been measuring this tree?

.........................................................................................

Solution;

The tree has grown 1/2 of an inch each month and has grown a total of 2 inch taller.

We now need to know the number of months in which the measuring has been taking place.

To know the number of months, we simply need to divide the change in height which is 2 inch by the individual month growth rate which is 1/2 inch

So mathematically, that would be 2/1/2 = 2 * 2 = 4 months

yes 38/53 is the simplest form

Step-by-step explanation:

The fraction is already reduced.

The volume of a copper solid that is 8.75 cm3 is equal to 0.534 in3. To convert from cubic centimeters (cm3) to cubic inches (in3), you need to divide the volume by 16.387. In this case, the calculation would look like this: 8.75 cm3 / 16.387 = 0.534 in3.

Cubic centimeters and cubic inches are two units of volume measurement that are often used in different fields. A cubic centimeter (cm3) is a metric unit of volume equal to a cube with sides that are one centimeter long. A cubic inch (in3) is a unit of volume in the imperial system that is equal to a cube with sides that are one inch long. To convert from one to the other, the above formula must be used.

Converting from cm3 to in3 can be useful in many different fields, including engineering, manufacturing, and construction. For example, if a product is designed to have a certain volume, knowing the volume in both cm3 and in3 can be important. This is because different parts of the world often use different units of measurement.

In conclusion, the volume of a copper solid that is 8.75 cm3 is equal to 0.534 in3. To convert from cubic centimeters to cubic inches, the volume must be divided by 16.387. This can be useful in many different fields, as different parts of the world often use different units of measurement.

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Answer:

it's only 2pi/B because the period of sin and cos is 2pi. If we were dealing with tan it'd be pi/B, since the period of tan is just pi.

The size of the quarterly deposits in Shelby's RRSP account was approximately $147.40.

Let's denote the size of the quarterly deposits as \(D\). The total number of deposits made over 9 years is \(9 \times 4 = 36\) since there are 4 quarters in a year. The interest rate per period is \(r = \frac{3.50}{100 \times 12} = 0.0029167\) (3.50% annual rate compounded monthly).

Using the formula for the future value of an ordinary annuity, we can calculate the accumulated value of the RRSP fund:

\[55,000 = D \times \left(\frac{{(1 + r)^{36} - 1}}{r}\right)\]

Simplifying the equation and solving for \(D\), we find:

\[D = \frac{55,000 \times r}{(1 + r)^{36} - 1}\]

Substituting the values into the formula, we get:

\[D = \frac{55,000 \times 0.0029167}{(1 + 0.0029167)^{36} - 1} \approx 147.40\]

Therefore, the size of the quarterly deposits, rounded to the nearest cent, is approximately $147.40.

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Answer:

5/8

that's mah answer tht is correct

Answer:

no

Step-by-step explanation:

half of 250k would be 125k and if you add that to 250k that would be 375k

Answer:

5 pizzas

Step-by-step explanation: If you have 10 people and each will get two slices then you will need 20 pieces of pizza because 10x2 is 20. If each pizza has 4 slices then you will need 5 pizzas because 4/20 is 5.

Answer:

5 pizzas.

Step-by-step explanation:

Find out how many slices the group of 10 people need in total:

2 x 10 = 20 slices

Now, use the total number of slices and divide it with 4 to find how many pizzas they need.

20 ÷ 4 = 5

They need 5 pizzas for 10 people who each get 2 slices.

Answer:

Exponential growth

Step-by-step explanation:

Answer:

it shows growth

...

Hope this will help you

Step-by-step explanation:

..

The equity beta for a firm is 0.944.

Equity Beta:

Equity Beta measures the volatility of the stock to the market, i.e., how sensitive is the stock price to a change in the overall market. It compares the volatility associated with the change in the prices of a security.

The formula to calculate equity beta:

Equity beta = Asset beta ( 1 + D/E( 1 - Tax))

Asset beta = 0.8

D/E = 0.3

Tax rate = 40%

Equity beta =  0.8 ( 1 + 0.3( 1- 40/100))

                   = 0.8 ( 1 + 0.3 × 6/10)

                   = 0.8 ( 1 + 0.18)

                   = 0.8 × 1.18

                   =0.944

Therefore the equity beta is 0.944.

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The greatest number of sides that can result from a cross section of a rectangular prism is 6.

To see why, consider a rectangular prism. The prism has 6 faces, which are all rectangles. If we take a cross section of the prism, the section will intersect some of the faces, resulting in a closed shape. The shape will have at most as many sides as the number of sides of the faces that the section intersects.

Since each face of the rectangular prism has 4 sides, the maximum number of sides that can result from a cross section is 4 x 6 = 24. However, this is only possible if the section intersects every face of the prism, which is unlikely to occur in general. In practice, a cross section of a rectangular prism is more likely to intersect just a few of the faces, resulting in a shape with fewer sides. Therefore, the greatest number of sides that can result from a cross section of a rectangular prism is 6, which occurs when the section intersects all 6 faces.

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Answer:

1.) 6

2.)6

3,)4

Step-by-step explanation:

I think these are the gcf of the numbers

The combination of the decoder and the 32×8ROM chips forms a 128×8ROM memory system.

To construct a 128×8ROM with four 32×8ROM chips and a decoder, the following external connections are necessary:

Step 1: Connect the enable inputs of all the four 32×8ROM chips to the output of the decoder.

Step 2: Connect the output pins of each chip to the output pins of the next consecutive chip. For instance, connect the output pins of the first chip to the input pins of the second chip, and so on.

Step 3: Ensure that the decoder has 2 select lines, which are used to select one of the four chips. Connect the two select lines of the decoder to the two highest-order address bits of the four 32×8ROM chips. This connection will enable the decoder to activate one of the four chips at a time.

Step 4: Connect the lowest-order address bits of the four 32×8ROM chips directly to the lowest-order address bits of the system, such that the address lines A0-A4 connect to each of the four chips. The highest-order address bits are connected to the decoder.Selecting a specific chip by the decoder enables the chip to access the required memory locations.

Thus, the combination of the decoder and the 32×8ROM chips forms a 128×8ROM memory system.

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Answer:

v=20π ft/s

Step-by-step explanation:

Given:

Distance from the security car to the movie theater, D=25 ft

Distance of the reflection from the car, d=30 ft

Speed of rotation of the strobe lights, 2 rev/s

To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.

We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.

ω=2πf

=> ω=2π(2)

=> ω=4π rad/s

The distance between the security car and the reflection on the wall of the theater is...

r=30-25= 5 ft

The speed of reflection is given as (this is the linear velocity)...

v=ωr

Plug our know values into the equation.

v=ωr

=> v=(4π)(5)

∴ v=20π ft/s

Thus, the problem is solved.

The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.

To solve this problem, we can use the concept of related rates. Let's consider the following variables:

x: Distance between the security car and the movie theater wall

y: Distance between the reflection of the security strobe lights and the security car

θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights

We are given:

x = 25 ft (constant)

y = 30 ft (changing)

θ = 2 revolutions per second (constant)

We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.

Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:

x^2 + y^2 = z^2

Differentiating both sides of the equation with respect to time (t), we get:

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.

Plugging in the known values, we have:

2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)

Simplifying the equation, we find:

60(dy/dt) = 120π

Dividing both sides by 60, we get:

dy/dt = 2π ft/s

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Answer:

\({ \tt{base = \sqrt{ {23}^{2} - {16}^{2} } = 16.5 \: cm}} \\ area = \frac{1}{2} \times base \times height \\ area = \frac{1}{2} \times 16.5 \times 16 \\ { \tt{area = 132 \: {cm}^{2} }}\)

Answer:

41 days

Step-by-step explanation:

512.5 ÷ 12.5 = 41 days

The rational function is given by y = (x + 3)(x + 1)/(x + 1)(x - 1). To determine the equations of vertical, horizontal, and slant, we need to consider the degree of the numerator and denominator of the rational function.

The degree of the numerator is 2, while that of the denominator is also 2. This means that there is no horizontal asymptote, and we need to consider the leading coefficients of the numerator and denominator to determine the equation of the slant asymptote. Since the degree of the numerator and denominator are equal, there is also no vertical asymptote.

In conclusion, the rational function has a slant asymptote given by y = x + 2. It has no horizontal or vertical asymptotes since the degree of the numerator and denominator are equal.

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Answer:

Step-by-step explanation:

Factor to solve.

12a2 + a – 35 = 0

>Multiply the first and the last, 12 and -35

     (12)(-35) = -420

>  Find 2 numbers that multiply to -420 but add to middle term, 1

       -20 and +21 multiply to -420 but adds to 1

>Replace the middle term with -20 and 21

      12a² + a – 35 = 0

       12a² + 20a -  21a – 35 = 0

>Group the first 2 and last 2 terms

      ( 12a² + 20a) (-  21a – 35) = 0

>Take out GCF from each of the groupings

      4a ( 3a + 5) -7(3a + 5) = 0

>Take out GCF (3a + 5)

      ( 4a - 7) ( 3a + 5) = 0

>Set each =0 and solve for a

       ( 4a - 7) = 0                      ( 3a + 5) = 0

          a=7/4                                  a = -5/3

If \(log_3(x^2)=4\), then that means \(3^4=x^2\), so \(x=9\).

If \(log_2(y^3)=6\), then that means \(2^6 = y^3\), so \(y=4\).

\(log_b(x)+log_b(y)=log_b(x\cdot y) = log_b(36)\)

so, the last statement is equivalent to \(log_b(36) = \frac{1}{2}\) or \(b^{1/2}=36\).

This means that \(b=36^2 = 1296\).

I'm on board with your answer.

If it had been \(log_b(x)+log_b(y)=2\), then \(b=6\) would have been correct.

Answer:

Haha....sure

Step-by-step explanation:

Quintessential Quintuplets

My Teen Romance Comedy

Kaguya sama Love is War

Rent a Gf

Rascal Does Not Dream of Bunny Girl

Your lie in April

(All romance btw)

Answer:

The exponent is 2. As a expression it is 1.6^2

Step-by-step explanation:

I don't really have an explanation its just common sense.

The scalar projection is 42/13, and the vector projection is 42/169⟨-5,12⟩.

The scalar projection of b onto a can be calculated using the formula \(\frac{a.b}{|a|}\), and the vector projection of b onto a can be calculated using the formula \(\frac{a.b}{|a|^{2} } .a\). The formula for finding the magnitude of a is |a| = √c²+d² if a = ⟨c,d⟩.

a = ⟨−5, 12⟩, b = ⟨4, 6⟩

a⋅b = ⟨−5, 12⟩⟨4, 6⟩

= -20 + 72

= 42

|a| = √[(-5)² + (12)²]

= √25 + 144

= √169

= 13

The scalar projection is

\(\frac{a.b}{|a|}\) = [⟨−5, 12⟩⟨4, 6⟩]/√[(-5)² + (12)²]

= [-20 + 72]/√25 + 144

= 42/√169

= 42/13

The vector projection is

\(\frac{a.b}{|a|^{2} } .a\) = [42/(13)²] ⟨−5, 12⟩

= 42/169⟨−5, 12⟩

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