triangle BIG is similar to triangle MOP. Find v

The number of miles the bird can fly for 60 minutes is 20 miles.

A bird can fly 5 miles in 15 minutes.

Let's find the rate before we can find the number of miles the bird can fly in 60 minutes.

Therefore,

rate = distance / time

rate = 5 / 15  = 1 / 3 miles per minutes

Therefore,

1 / 3  = d / 60

cross multiply

60 = 3d

d = 60 / 3

d = 20 miles

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Answer:

t = 1.322

Step-by-step explanation:

4×(2^t) = 10

2^t = 10/4 = 2.5

t = log2(2.5)

now, the logarithm to the base 2 of 2.5 must be larger than 1, as 2.5 is larger than 2.

so, it can be only the 4th answer option.

now, to actually calculate it :

log2(2.5) = log10(2.5) / log10(2) = 1.321928095... ≈

≈ 1.322

we were correct.

Answer:

t = 1.322

Step-by-step explanation:

Given equation:

[tex]4(2^t)=10[/tex]

Divide both sides by 4:

[tex]\implies \dfrac{4(2^t)}{4}=\dfrac{10}{4}[/tex]

[tex]\implies 2^t=2.5[/tex]

Take natural logs of both sides:

[tex]\implies \ln 2^t = \ln 2.5[/tex]

[tex]\textsf{Apply the natural log power law}: \quad \ln x^n=n \ln x[/tex]

[tex]\implies t \ln 2 = \ln 2.5[/tex]

Divide both sides by ln 2:

[tex]\implies \dfrac{t \ln 2}{\ln 2} = \dfrac{\ln 2.5}{\ln 2}[/tex]

[tex]\implies t= \dfrac{\ln 2.5}{\ln 2}[/tex]

[tex]\implies t=1.321928095...[/tex]

[tex]\textsf{Apply log law}: \quad a^c=b \iff \log_ab=c[/tex]

[tex]\implies \log 2 (2.5)=t[/tex]

[tex]\implies t=1.321928095...[/tex]

Therefore, the solution that is nearest to the exact solution is t = 1.322

The phrases that fit the graph of [tex]y = \sqrt x[/tex] are

The equation of the function is given as:

[tex]y = \sqrt x[/tex]

Next, we plot the graph of the function (see attachment)

From the attached graph, we have the following highlights:

The above represents the phrases that fit the graph

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Using a graphing application, graph y = √x. Sketch the graph below.

Select all phrases that fit the graph of y = √x

curve     straight      y-intercept = 1        positive x-values

quadrant IV         quadrant III       point (1, 1)        x-intercept = 0

quadrant I           y-intercept = 0        no y-intercept    negative y-values

no x-intercept     quadrant II     x-intercept = 1    point (-1, -1)

A heat engine is a device that turns heat into mechanical energy that may subsequently be utilized to do mechanical labour. The total rate of heat rejection to the environment is 298.4458 kJ/min.

A heat engine is a device that turns heat into mechanical energy that may subsequently be utilized to do mechanical labour. It accomplishes this by transferring a functioning ingredient from a higher to a lower state temperature.

For the following condition, the diagram can be made as shown below. Also, the Heat Engine Sink temperature, [tex]T_H[/tex] = 900 K

Heat Engine surrounding temperature, [tex]T_L[/tex] = 300 K

Refrigerator surrounding temperature, [tex]T'_C[/tex] = 215 C + 273 =  488 K

Refrigerator sink temperature, [tex]T'_H[/tex] = 300 K

The heat removed by the refrigerator, [tex]Q'_{in}[/tex] = 250 kJ/min

A.) For a Carnot refrigerator, the COP or the coefficient of performance is given by,

[tex]COP = \dfrac{T'_C}{T'_H-T'C}[/tex]

COP = (488)/(488-300)

COP = 2.596

The COP is also the ratio of the Heat input and the work output.

[tex]COP = \dfrac{Q'_{in}}{W}[/tex]

2.596 = 250/W

W = 96.302 kJ/min

The Carnot engine efficiency is expressed as,

[tex]\eta = 1- \dfrac{T_C}{T_H}[/tex]

η = 1 - (300/900)

η = 0.6667

Also, the Carnot engine efficiency is defined as,

[tex]\eta = \dfrac{W}{Q_{in}}\\\\[/tex]

[tex]0.6667 = \dfrac{96.302}{Q_{in}}\\\\Q_{in} = \rm 144.4458\ kJ/min[/tex]

Hence, the rate of heat supplied to the heat engine is 144.4458 kJ/min.

B.) The total work done by the engine is 96.302 kJ/min, while the heat input is 144.4458 kJ/min. Therefore, the heat output of the system is,

[tex]W = Q_{in} - Q_{out}\\\\Q_{out} = 48.1438\rm\ kJ/min[/tex]

Thus, the total rate of heat rejection to the environment,

[tex]\text{Total Heat rejection} = Q_{out}+Q'_{in}\\[/tex]

                               = 48.4458 kJ/min + 250 kJ/min

                                = 298.4458 kJ/min

Hence, the total rate of heat rejection to the environment is 298.4458 kJ/min.

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Answer: [tex]\tan^2 t[/tex]

Step-by-step explanation:

[tex]\sin^{2} t+\cos^2 t=1 \implies 1-\cos^2 t=\sin^2 t\\\\\implies \frac{1-\cos^{2}t}{\cos ^2 t}=\frac{\sin ^2 t}{\cos^2 t}=\tan^2 t[/tex]

Answer:

Step-by-step explanation:

Area of a scaled figure is multiplied by the square of the scale factor; volume is multiplied by the cube of the scale factor.

When dimensions are multiplied by 3, the area is multiplied by 3² = 9.

Area of the larger figure is 9 times that of the smaller one.

When dimensions are multiplied by 3, the volume is multiplied by 3³ = 27.

Volume of the larger figure is 27 times that of the smaller one.

__

Additional comment

In general, the area of a figure is the sum of the products of two orthogonal dimensions. If each of those is multiplied by 3, then the product is multiplied by 3 twice, or 3² = 9.

Similarly, the volume of a figure is the sum of products of three orthogonal dimensions. When those are each multiplied by 3, the product is multiplied by 3 three times, or 3³ = 27.

If you run the program and print(c), your result will be: c = 35

A program can be defined in terms of arithmetical functions as a set of instructions that are used to arrive at a solution.

A program guides the computer system on what the user wants.

Analysis

a = 2 + 6 = 8

b = 7 % 3 = 1

c = a - b  = 7

c = c * 5  = 35

In conclusion, If you run the program and print(c), your result will be: c = 35

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Step-by-step explanation:

Here,

given length= 45 5/7 m( mixed fraction)

= 320/7 m( simple fraction)

similar breadth= 16 3/4 m

= 67/4 m

Now,

Area= length* breadth

= 320/7 * 67/4

=5360/7 m²

Step-by-step explanation:

I guess this means the garden is a rectangle.

the area is

length × breadth (or width or ...)

so,

45 5/7 × 16 3/4 =

= (45×7 + 5)/7 × (16×4 + 3)/4 =

= 320/7 × 67/4 = 320×67 / 7×4 = 80×67 / 7 =

= 5360/7 = 765 5/7 m²

Step-by-step explanation:

(3x+6)= 48(Alternate angles)

3x=48-6

3x=42

x=14

2y+48=5y-9 (Sum of two opposite interior angles= exterior angle)

48+9=5y-2y

57=3y

y=19

Answer:

[tex]200 cm^2[/tex]

Step-by-step explanation:

A = (1/2)bh

A = (1/2)(18)(30)

A = 270 square cm

A = (1/2)(16)(25)

A = 200 square cm

Answer:

200 square centimeters

Step-by-step explanation:

The area of a triangle can be calculated using the formula: [tex]A = \frac{1}{2}bh[/tex] where b is the base and h is the height. So if the base is 16 cm and the height if 25 cm you simply plug the values into the equation to find the area

Plug Values In:

[tex]A = \frac{1}{2}(16 cm)(25 cm)[/tex]

Multiply 16 cm and 25 cm:

[tex]A = \frac{1}{2}(400 cm^2)[/tex]

Multiply by 0.5 (or technically divide by 2)

[tex]A = 200 cm^2[/tex]

Answer:

y

Step-by-step explanation:

that easy just isolate the variables

In base 13, we use the digits 0-9 along with A for 10, B for 11, and C for 12.

Then the number that comes after A59C₁₃ is

A59C₁₃ + 1₁₃ = A59(C + 1)₁₃

… = A59(10)₁₃

… = A5(9 + 1)0₁₃

… = A5A0₁₃

where I use parentheses to indicate we're adding C and 1 in the same digits place, then carry the 1 into the next digits place.

Answer: -2 1/3

Step-by-step explanation:

First, change the word into equation

9*x+3=6

Do division first, so 6/9, simplify into 2/3 then subtract it by 3 which is -2 1/3

Answer:

The percentage of 28 students who are 14 students is 50%.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

The interest that Jimmy's account has earned is $35.95.

Interest is the total increase in excess of the amount deposited in the account. Interest earned can be determined by subtracting the amount deposited from the current balance.

Interest = current balance - amount deposited

$3,485.95 - $3,450.00 = $35.95

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Answer:

4

Step-by-step explanation:

5x + 2 = 2x + 14

5x-2x=14-2

3x=12

x=12/3

x=4

Answer:

The exact form: x = 4

The number of ways of the letters FGHIJ can be arranged with repetition and without repetition are 125 and 60 ways respectively.

Formula for permutation with repetition

[tex]^nPr = n^r[/tex]

Formula for permutation without repetition

[tex]^nPr = \frac{n!}{n-r!}[/tex]

We have = 5

r = 3

a. If repetition is allowed,

Permutation = [tex]5^3[/tex] = 125 ways

b. If repetition is not allowed,

Permutation = [tex]\frac{5!}{5-3!}[/tex]

Permutation = [tex]\frac{5*4*3*2*1}{2*1}[/tex]

Permutation = [tex]\frac{120}{2}[/tex]

Permutation = 60 ways

Thus, the number of ways of the letters FGHIJ can be arranged with repetition and without repetition are 125 and 60 ways respectively.

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Answer:

Step-by-step explanation:

Answer:

if you are asking a real question the answer should be on your driving history on life 360 or maybe the average gps. How fast were you driving? I have no idea thats a answer only you know.

Step-by-step explanation:

Answer:

r = 70.59  miles / hour

Step-by-step explanation:

Comment

The first set of numbers gives you the distance you travelled.

Givens

t = 20 minutes = 20/60 = 1/3 of an hour

r = 60 miles / hour

d = ?

d =  r * t

d = 60 * 1/3

d = 20 miles  (The hours cancel)

So now you can find out what 17  minutes means

d = 20 miles

t = 17 minutes = 17/60 hours = 0.2833 hours.

r = d / t

r = 20 / 0.2833

r = 70.59  miles / hour

Answer:

[tex]y = -2x + 5[/tex]

m = -1

b = 5

Step-by-step explanation:

Hello!

Slope - Intercept Form: [tex]y = mx+b[/tex]

The slope of the line is the rate of change, or how the graph changes in y as it changes in x.

Slope can be calculated by the formula: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

We need two points on the line to get the x and y-values. I'm going to choose points (0,5) and (4,-3).

Calculate Slope

The slope is -2.

The y-intercept of the line is where the graph touches the y-axis (x = 0). It can be found by looking at the intersection of the graph and the axis.

The intersection happens at point (0,5), so the y-intercept is 5.

We found m, the slope, to be -2 and b, the y-intercept, to be 5. We can just plug it into the equation format.

Equation: [tex]y = -2x + 5[/tex]

Answer:

all shown below

Step-by-step explanation:

y-intercept means a dot's y coordinate is 8 and on the y axis, x-i intercept means a dot's x coordinate is 9 and on the x axis

Answer:

  see the attached graph

Step-by-step explanation:

The intercepts are the points where a graph crosses the coordinate axes.

The y-intercept is the the point where the graph crosses the y-axis. The value of x is zero there. The coordinates of the y-intercept are (0, 8).

The x-intercept is the point where the graph crosses the x-axis. The value of y is zero there. The coordinates of the x-intercept are (9, 0).

You graph these intercepts by plotting the points at these coordinates.

__

In the attached graph, the intercepts are blue dots, and we have drawn a line through them. The line is not part of the graph of the intercepts. It is merely an instance of a function that has these intercepts.

Answer:

Equilateral triangle: All three sides are equal.

Isosceles triangle: All two sides are equal.

Scalene triangle: No sides are equal.

Step-by-step explanation: Step 1: Label the given points as A, B, and C, and plot them as vertices of a triangle with connecting lines to draw the triangle we are working to identify.

Step 2: Calculate the side length AB using the distance formula.

Step 3: Calculate the side length BC using the distance formula.

Step 4: Calculate the side length AC using the distance formula.

Step 5: Compare the side lengths AB, BC, and AC from the previous steps to define the triangle type.

[tex]{ \red{ \bold{option \: (d)}}} \: { \green{ \tt{ {2}^{8p} = {2}^{5p + 3}}}} [/tex]

Step-by-step explanation:

I said option (d) is correct. Because, the answer of 2^8 is 256 i.e.,

[tex]{ \green{ \bold{ {2}^{8} }}} = { \green{ \tt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2}}}[/tex]

[tex]{ \green{ \bold{ {2}^{8} }}} = { \green{ \tt{256}}}[/tex]

The value of 16^2 = 256.

Also, the answer of 2^5 is 32. i.e.,

[tex]{ \green{ \bold{ {2}^{5} }}} = { \green{ \tt{2 \times 2 \times 2 \times 2 \times 2}}}[/tex]

[tex]{ \green{ \bold{ {2}^{5} }}} = { \green{ \tt{32}}}[/tex]

The inference based on the information about ordering is that D. Yes, young Cosette 1, young Cosette 2, and young Cosette 3 are all different parts.

It should be noted that a inference simply means the conclusion that can be deduced based on the information given.

In the role of young Cosette for the drama, 3 girls should be casted.

If three are being casted then there is need for different parts because for same role there may be different stages of character.

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Using a calculator, the slope of the line of best-fit is of 7.2.

To find the equation, we need to insert the points (x,y) in the calculator.

In this problem, the points are given as follows:

(-4,-32), (-2,-8), (0,10), (2,8), (4,32).

Using the calculator, the equation is:

y = 7.2x + 2.

Hence the slope is of 7.2.

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Answer:

(x+2)²+(y-4)²=36

Step-by-step explanation:

1) to determine the coordinates of the centre of the given circle. It is point A (-2;4);

2) to determine the length of the radius: to calculate the distance between the point A(-2;4) and any point on the circle, it is 6 [units];

3) to make up the required equation according to the scheme:

(x-x₀)²+(y-y₀)²=r², where (x₀;y₀) - the coordinates of the centre, r - the length of the radius.

4) finally, (x+2)²+(y-4)²=6².

PS. for more details see the attachment.

Using the linear function given in this problem, the formula underestimates the median weekly earnings in 2013 by $3, as 657 < 660.

The function that estimates the median weekly earnings n years after 1980 is:

W = 13n + 231.

2013 is 2013-1980 = 33 years after 2000, hence the estimate is given by W when n = 33, that is:

W = 13 x 33 + 231 = 660.

657 < 660, hence the formula underestimates the median weekly earnings in 2013 by $3.

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