Please helpppp

side lengths, surface areas, and volumes fo...
a designer builds a model of a sports car. the finished model is exactly the same shape as the original, but smaller. the scale factor is 3:11
(a) find the ratio of the surface area of the model to the surface area of the original.
(b) find the ratio of the volume of the model to the volume of the original.
(c) find the ratio of the width of the model to the width of the original.
nrite these ratios in the format m:n.
surface area:

volume:
width:

Answer:

Step-by-step explanation:

My guess is that 10/36 students weren't playing sports.

Answer:

t = 2

Step-by-step explanation:

3 times 3 = 9 and 11 minus 9 equals 2

Answer:

  ln(y) = 0.264x -2.748

Step-by-step explanation:

You want a logarithmic equation that relates the given table of diameters (y) to the length in inches (x) of common nails.

A graphing calculator can find "best fit" values for an equation you might choose for the representation. A linear approximation to ln(y) is shown in the attachment.

  ln(y) = 0.264x -2.748

__

Additional comment

The best approximation of a relation between x and y that we have found is a linear approximation y = ax+b. (R²=0.9958) A quadratic approximation to ln(y) is almost as good. (R²=0.9918) The linear approximation of ln(y) shown above is not a particularly good one.

In short, the relation between length and diameter does not seem to be logarithmic.

Answer: 14p +70

Step-by-step explanation:

Answer:

84p

Step-by-step explanation:

3+2=5 +7=12x7+84

Answer:

Domain: {-1,0,1,4}

Range: {3,5,35}

Step-by-step explanation:

The domain is the set of x values while range is the set of y values

Here, the set of x values would be -1 , 0 , 1 and 4

And the y values would be 5, 3, 5, and 35

When writing the domain and range, you put the values into brackets "{}" and put them in order from least to greatest. Also if there are repeated values you do not repeat them, you only put them once.

This means that the domain would be {-1,0,1,4}

And the range would be {3,5,35}

Answer:

Both S=8x36 and S=36+36+36+36+36+36+36+36 apply

There are 288 seats in section C

Step-by-step explanation:

S=8x36

S=288

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

Answer:

Step-by-step explanation:

If 2 angles are complementary, they are equal to 90 degrees. So, lets say that the measure of the first angle is x, and the measure of the second angle is y.

Since x measures 4.2 degrees more than its complementary angle (y), we can say that x - 4.2 = y

And, since they are complementary angles, x+y = 90.

We can now use a system of equations to solve. Since we know y = x-4.2, we can substitute y with x-4.2, making the equation x + x - 4.2 =90.

Simplify:

x+x-4.2=90

2x -4.2 =90

2x = 94.2

x= 47.1

Since y=x-4.2, we can now find y.

y = x-4.2

y= (47.1)-4.2

y=42.9

So, the measure of the angles is 47.1° and 42.9°.

Hope this helps!

The rational function graphed, found from the asymptote line in the graph is the option C.

C. F(x) = 1/(x + 1)²

An asymptote is a line to which the graph of a function approaches but from which a distance always remain between the asymptote line and the graph as the input and or output value approaches infinity in the negative or positive directions.

The graph of the function indicates that the function for the graph has a vertical asymptote of x = -5

A rational function has a vertical asymptote with the equation x = a when the function can be expressed in the form; f(x) = P(x)/Q(x), where (x - a) is a factor of Q(x), therefore;

A factor of the denominator of the rational function graphed, with an asymptote of x = -5 is; (x + 5)

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The side of the edge of the cube is 7. 07cm

Given that a  diagonal of a cube measures the square root of 150 cm and the diagonal of a face measures 10 cm.

Let's find the edge of the face

Note that the face of the cube is in the shape of square .

The diagonal of the face is 10 cm.

The formula for  diagonal of square = \(\sqrt{2a}\)

a is the side of the square face

We have that,

\(\sqrt{2a} = 10\)

Make 'a' subject of formula

a = \(\frac{10}{\sqrt{2} }\)

Find the surd of the equation, we have

a = \(\frac{10}{\sqrt{2} }\) × \(\frac{\sqrt{2} }{\sqrt{2} }\)

a = \(\frac{10\sqrt{2} }{2}\)

a = \(5\sqrt{2}\)

a = \(7. 07cm\)

Thus, the side of the edge of the cube is 7. 07cm

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5. An action or process of solving a problem

Thats all I can answer for u :D

Answer:

9(x + 2)

Step-by-step explanation:

3/5(x+30)

multiply fractions

3(15x + 30)/5

factor 3(15x + 30) = 45(x + 2)

divide the numbers

45(x + 2)/5

45/5=9

= 9(x + 2)

Answer:

9x + 18

Step-by-step explanation:

\(\frac{3}{5} ( 15x + 30 )\)

9x + 18

The probability of having a run of 3 consecutive heads within the first 10 flips is 0.36.

In a sequence of independent flips of a fair coin that comes up heads with a probability of 0.6, we want to find the probability of having a run of 3 consecutive heads within the first 10 flips.

To solve this problem, we can use the concept of binomial probability. The probability of getting a head on any given flip is 0.6, and the probability of getting a tail is 0.4.

To find the probability of having a run of 3 consecutive heads, we need to consider different scenarios:

Scenario 1: The first three flips are heads.
Scenario 2: The second, third, and fourth flips are heads.
Scenario 3: The third, fourth, and fifth flips are heads.
...
Scenario 8: The eighth, ninth, and tenth flips are heads.

We can calculate the probability of each scenario separately and then add them up to find the overall probability.

Scenario 1: The probability of getting three consecutive heads is 0.6 * 0.6 * 0.6 = 0.216.

Scenario 2: The probability of getting three consecutive heads is 0.4 * 0.6 * 0.6 = 0.144.

Scenario 3: The probability of getting three consecutive heads is 0.4 * 0.4 * 0.6 = 0.096.

...
Scenario 8: The probability of getting three consecutive heads is 0.4 * 0.4 * 0.6 = 0.096.

Now, we add up the probabilities of all these scenarios:

0.216 + 0.144 + 0.096 + ... + 0.096

To make it easier, we can use the formula for the sum of a geometric series:

Sum = a * (1 - r^n) / (1 - r)

In this case, a = 0.216, r = 0.4, and n = 8 (the number of scenarios).

Sum = 0.216 * (1 - 0.4^8) / (1 - 0.4)
   = 0.216 * (1 - 0.00065536) / 0.6
   = 0.216 * 0.99934464 / 0.6
   = 0.216 / 0.6
   = 0.36

Therefore, the probability of having a run of 3 consecutive heads within the first 10 flips is 0.36.

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Total distance travelled by lisa before falling off is 56.52 m

The circumference of a circle is the straight-line distance around it. In other words, if you open a circle and draw a straight line, the length of that line will be the perimeter. The perimeter is the total distance around the circle. Then find the perimeter using the formula C = 2πr.

Given,

Unicycle wheel diameter = 0.6 m

Unicycle wheel radius = 0.3 m

Number of revolutions before falling = 32

Circumference (C) = 2 x Pi x Radius

= 2 × π × r

= 2 × 3.14 × 0.3

= 1.884 m

Distance travelled by lisa = 30 × 1.884

= 56.52 m

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Answer:

Inappropriate Question

Step-by-step explanation:

Proper question is not provided. Required information is not given.

Answer:

5.49 pounds

Step-by-step explanation:

Given data

Amir bought 3 2/3 pounds of rice= 11/3 pounds= 3.66 pounds

Owen bought 1 1/2 times  or 1.5 times as much as Amir bought

Hence 1.5 time of 3.66

=1.5*3.66

=5.49 pounds in decimal

Answer:

5.5 in

Step-by-step explanation:

proportion is 3/11. so 3/11 = 1.5/x

x=5.5 in

The correct choice is that  the absolute maximum value is 25.

To find the absolute maximum and minimum values of the function f(x,y) = \(x^2 + y^2\)- 2y + 1 on the set R = {(x, y) |\(x^2 + y^2 ≤ 16\)}, we need to look for critical points and boundary points.

First, we find the critical points by setting the partial derivatives of f(x,y) with respect to x and y equal to zero:

∂f/∂x = 2x = 0

∂f/∂y = 2y - 2 = 0

Solving these equations simultaneously gives us the critical point (0,1).

Now, we look at the boundary of the set R, which is the circle centered at the origin with radius 4. We can parameterize this circle using polar coordinates:

x = 4cosθ

y = 4sinθ

Substituting these values into f(x,y), we get:

f(θ) =\(16cos^2θ\) + \(16sin^2θ\) - 8sinθ + 1

= 17 - 8sinθ

To find the maximum and minimum values of f(θ), we can take its derivative:

df/dθ = -8cosθ

Setting df/dθ = 0 gives us cosθ = 0, which has solutions θ = π/2 and θ = 3π/2. Therefore, the maximum value of f(θ) occurs at θ = π/2 or θ = 3π/2, and is:

f(π/2) = 17 + 8 = 25

Similarly, the minimum value of f(θ) occurs at θ = π/2 + π = 3π/2, and is:

f(3π/2) = 17 - 8 = 9

Comparing these values to the value of f at the critical point, f(0,1) = \(0^2\)+ \(1^2 - 2(1)\)+ 1 = 0, we see that the absolute maximum value of f(x,y) on the set R is 25, and the absolute minimum value is 0.

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The "d" format specifier is used to denote a signed decimal integer in various programming languages and formatting systems.

When used in format strings or printf-style functions, the "d" specifier indicates that the corresponding argument should be formatted as a signed decimal integer. It allows for the representation of both positive and negative whole numbers, including zero.

For example, in C programming, the printf function can be used with the "%d" format specifier to display a signed decimal integer value. Similarly, in other languages such as Python, the "{:d}" format specifier can be used with the format() function or string interpolation to represent a signed decimal integer.

Using the "d" specifier ensures that the output is formatted as a base-10 representation of a signed integer, taking into account the sign of the number.

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Answer:

45

Step-by-step explanation:

Answer:

The LCM of 5 and 9 is 45

Step-by-step explanation:

5x9 is 45
5: 5,10,15,20,25,30,35,40,45
9: 9,18,27,36,45

Answer:

6.32

Step-by-step explanation:

all you have to do is 18.96 divided by 3

Answer:

6.32

Step-by-step explanation:

divide 18.96 by 3 and you get your answer

Alden probably used the observational method to collect data for his box plot.

What is a case study?

A case study is an in-depth study on a particular topic collecting information in various ways in a real-world context. Using a range of data sources, a case study permits the analysis of a genuine topic within a specified framework.  Here Alden is conducting his own case study on Calories in Sodas.

In a case study, data is collected through various methods including the observational method, survey method, interview, etc. The observational method is observing the event or stimulus in real time and recording of its data. Therefore, Alden could have employed the observational method by visiting a nearby store and reading and recording the various labels of sods for their data.

And so, Alden collected the data for his box plot using the observational method.

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Answer:

24 bracelets

Step-by-step explanation:

If sarah has 4 feet of ribbon and can make a friendship bracelte from 1/6 foot that means she can make 6 bracelets per foot (1/6+1/6+1/6+1/6+1/6+1/6 = 6/6 or 1 foot). Now that you know she can make 6 per foot you need to multiply the amount per foot by the amount of ribbon she has in this case 4 feet.

6x4= 24 bracelets

Answer:

Step-by-step explanation:

Total stock available = 6 x 3/4 = 18/4

Detergent given to each class=3/8

Total number of classes in the school = 28

Total detergent required by the school=3/8*28

=42/4

a. Fraction if the school who will get the detergent=18/42

b. Total required detergent for the whole school= 42/4

c. School needs to order = 42/4 - 18/4  

= 24/4

= 6

d. i. Detergent given out to 15 classes = 15 x 3/8

= 45/8

ii. There will be no detergent left in stock

The first transformation is a translation one unit up.

The second transformation is a translation of four units left.

The scale factor is 2.5.

According to the transformations above, the circles are similar, they are related with a scale factor of 2.5.

The equation of the preimage is

The equation of the image is

The probability that in any given hour fewer than three new visitors will arrive at the website is 0.5948.

a) The probability that in any given hour zero new visitors will arrive at the website is given by;P(X = 0) = (e^-λ λ^0)/0!Where λ = 2.3Thus;P(X = 0) = (e^-2.3 2.3^0)/0!P(X = 0) = (0.1003)/1P(X = 0) = 0.1003b) The probability that in any given hour exactly one new visitor will arrive at the website is given by;P(X = 1) = (e^-λ λ^1)/1!Where λ = 2.3Thus;P(X = 1) = (e^-2.3 2.3^1)/1!P(X = 1) = (0.2303)/1P(X = 1) = 0.2303c) The probability that in any given hour two or more new visitors will arrive at the website is given by;P(X ≥ 2) = 1 - P(X = 0) - P(X = 1)Thus;P(X ≥ 2) = 1 - 0.1003 - 0.2303P(X ≥ 2) = 0.6694d) The probability that in any given hour fewer than three new visitors will arrive at the website is given by;P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)Thus;P(X < 3) = 0.1003 + 0.2303 + 0.2642P(X < 3) = 0.5948Therefore,The probability that in any given hour zero new visitors will arrive at the website is 0.1003.The probability that in any given hour exactly one new visitor will arrive at the website is 0.2303.The probability that in any given hour two or more new visitors will arrive at the website is 0.6694.The probability that in any given hour fewer than three new visitors will arrive at the website is 0.5948.

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Step-by-step explanation:

PV=hRT

(divide both sides by hT, this is to make R the subject of the formula)

R = PV/hT

Answer:

-1/2

Step-by-step explanation:

3/2 x 5/3 ÷ (-2+7)

=> 3/2 x 5/3 ÷ (-5)

=> 3/2 x 5/3 x (-1/5)

=> -1/2

Answer:

63

Step-by-step explanation:

a=9

7a

7(9)

63