Renee is making a scale diagram of her mp3 player. The length of her scale drawing is 8 inches, and the width is 14 inches. The actual length of the mp3 player is 4 centimeters, and the width is 7 centimeters. what is the scale factor?

The residuals of any data set should get added to zero. If there are three residuals (say A, B, and C) in any data set, then it could be written as A + B + C = 0.

Given are the two residuals -10 and -20 out of three point in a particular data set.

Let's assume A = -10 and B = -20, so that we could find third value C of the given data set.

We know A + B + C = 0

(-10) + (-20) + C = 0

(-30) + C = 0

C = 30

It means that third residual must be 30.

Hence, the final answer is 30.

Answer:

30

Step-by-step explanation:

Circumference of the circle is 25.136 cm with radius 4 cm.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

The radius of circle = 4 cm

We know that;

The circumference of circle = 2πr

Where, 'r' is radius of circle.

So, We get;

The circumference of circle = 2πr

                                           = 2 × 3.142 × 4

                                           = 25.136 cm

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Answer:

[tex]2713cm^3[/tex]

Step-by-step explanation:

From the given figure, the radius of the cylinder is=8cm, height of cylinder is =18cm  and the radius of the sphere is= 6cm.

Thus, [tex]Volume of cylinder={\pi}r^2h[/tex]

[tex]V=3.14(8)^{2}(18)[/tex]

[tex]V=3.14(64)(18)[/tex]

[tex]V=3617.28cm^3[/tex]

And [tex]volume of sphere=\frac{4}{3}{\pi}r^3[/tex]

[tex]V=\frac{4}{3}(3.14)(6)^3[/tex]

[tex]V=\frac{4}{3}(3.14)(216)[/tex]

[tex]V=904.31cm^3[/tex]

Thus, the volume of the shaded part of the figure=Volume of cylinder-volume of sphere

⇒volume of the shaded part of the figure=[tex]3617.28-904.31[/tex]

=[tex]2712.97[/tex]

≈[tex]2713cm^3[/tex]

Thus,volume of the shaded part of the figure=[tex]2713cm^3[/tex]

Isabella needs a minimum of 9216 tiles to cover her 2ft by 2ft tabletop. This is calculated by converting all measurements to inches, finding the area of both the tabletop and a single tile, and dividing the total area of the tabletop by the area of a single tile.

To answer Isabella's question let's first convert everything into the same units to make it easier. The tabletop in inches would be 2ft * 12in/ft = 24in by 24in. The area of the tabletop is then 24in * 24in = 576in^2. Each tile is 1/4in by 1/4in in size, so the area of a single tile is 1/4in * 1/4in = 0.0625in^2. To find the minimum number of tiles needed to cover the tabletop, divide the total area of the tabletop by the area of a single tile: 576in^2 / 0.0625in^2 = 9216 tiles. Therefore, Isabella needs a minimum of 9216 tiles to cover the square tabletop.

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Final answer:

To convert the 3-ton weight of Mr. Johansson's truck to ounces, we multiply 3 tons by 2,000 to get pounds and then multiply that figure by 16 to get 96,000 ounces.

Explanation:

Mr. Johansson's truck weighs 3 tons. To convert this weight to ounces, we need to know that one ton is equal to 2,000 pounds and one pound is equal to 16 ounces.

First, we convert tons to pounds:
3 tons x 2,000 pounds/ton = 6,000 pounds

Next, we convert pounds to ounces:
6,000 pounds x 16 ounces/pound = 96,000 ounces

Therefore, the weight of Mr. Johansson's truck is 96,000 ounces. This conversion showcases the application of the conversion factors between tons, pounds, and ounces, providing a precise measure of the truck's weight in a more universally comprehensible unit.

Final answer:

The truck weighs 96,000 ounces.

Explanation:

To convert tons to ounces, we can use the conversion factor that 1 ton is equal to 32,000 ounces.

So, to find how many ounces the truck weighs, we can multiply the weight of the truck in tons by the conversion factor.

Weight of the truck in ounces = Weight of the truck in tons x Conversion factor

Weight of the truck in ounces = 3 tons x 32,000 ounces/ton

Weight of the truck in ounces = 96,000 ounces.

Solution:

Question 1:

we are given that

A football player who runs 5yds/sec and starts on the 25 yard line.

So here rate is 5yds/sec

and 25 yards is the y- intercept.

Hence it can be written as

[tex]y=5x+25[/tex]

Question 2:

Based on the given equations, which one represents the greatest rate?

As we know in the standard form of equation of starlight line

[tex]y=mx+b[/tex]

m represents the rate or gradient.

As we can observe from the given options [tex]y = 7x + 5[/tex] has the greatest gradient.

Hence the correct option is [tex]y = 7x + 5[/tex]

Mathematics defines function as an expression that points a relationship between two variables.

Sequence is a list of numbers in certain order.

The function that defines the sequence -6,-10,-14,-18 is [tex]\rm f(x)= -4x-2[/tex]

Given:

[tex]\rm f(1)=-6\\f(2)=-10\\f(3)=-14\\f(4)=-18\\f(6)=-26[/tex]

Substituting x=1 in function [tex]\rm f(x)= -4x-2[/tex]

[tex]\begin{aligned}\rm f(1)&= -4(1)-2\\&=-6\end[/tex]

x=2

[tex]\begin{aligned} \rm f(2)&= -4(2)-2\\&=-10\end[/tex]

x=6

[tex]\begin{aligned}\rm f(6)&= -4(6)-2\\&=26\end[/tex]

Therefore the function [tex]\rm f(x)= -4x-2[/tex] defines the sequence.

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area/width

=length

=1176÷21

=56m

Answer:

Length = 56 meters

Step-by-step explanation:

We can find the length of the rectangle which has an area of 1,176 square meters and width of 21 meters with this formula:

[tex]\boxed{Area(A)=length(l)\times width(w)}[/tex]

Given:

Then:

[tex]\begin{aligned}A&=l\times w\\1,176&=l\times21\\l&=1,176\div21\\l&=56\ m\end{aligned}[/tex]

The speed of the car in sunny weather is calculated to be 60 mph, given that it travels the same distance in less time compared to its speed in a rainy weather, which is 20 mph slower.

Finding the Car's Speed in Sunny Weather:

Let's assume the speed of the car in sunny weather is s mph. Therefore, the speed of the car in a rain storm would be (s - 20) mph. Given that the car travels the same distance in both weathers, we can use the formula distance = speed * time to express the distance travelled in sunny weather and rainy weather.

In sunny weather, the car travels for 2 hours, hence the distance covered is 2s miles. In rainy weather, it travels for 3 hours, covering a distance of 3(s - 20) miles.

Since the distances are equal, we can equate them and solve for s:

2s = 3(s - 20)

2s = 3s - 60

s = 60 mph

Therefore, the speed of the car in sunny weather is 60 mph.

Answer:

(3,6)

Step-by-step explanation:

Believe me this is correct I just did the test

There is no hole in the graph of the function f(x) = x^2 - 9x - 3.

To find the coordinates of the hole in the graph of the function f(x) = x^2 - 9x - 3, we need to determine the x-value at which the function is undefined. This occurs when the denominator of the function is equal to zero. In this case, the function has no denominator, so there is no hole in the graph.

Answer:

The correct option is C.

Step-by-step explanation:

∵ The given graph is of increasing nature.

∴The base of the exponential will be greater than 1.

∴ option A is incorrect.

Also, at x=0 the value of y=3, but in option B at x=0 ⇒y= 3^0 =1

∴ option B is also incorrect.

At x=0, y=3 for option 3 which satisfies the graph.

∴ the option C is correct.

option D is incorrect because the base of an exponential can never be negative.