1
Given f(x) = -3x – 2, find the following.
a. f(3)
b. f(-1)
c. f(-2)

Answer:

A = (1/2)(3)(7 + 3) = 5(3) = 15

15 goes into the box.

Answer:  The answer is 0.3

Step-by-step explanation:

Lily should expect to buy 1.5 boxes to get all four prizes.

This question belongs to the field of probability in Mathematics. The problem is asking how many boxes Lily should expect to buy in order to get all four prizes. This is a geometric problem because each box has a probability of 1/4 of containing a prize, and each trial is independent with the same probability of success. To solve this problem, we can use the concept of expected value.

The expected value is the average number of boxes Lily needs to buy to get all four prizes. The expected value can be calculated by multiplying the probability of each outcome by the number of boxes it takes to achieve that outcome, and then summing up these products:

Expected value = (1/4) * 1 + (1/4) * 2 + (1/4) * 3 + (1/4) * 4 = 1.5

Therefore, Lily should expect to buy approximately 1.5 boxes to get all four prizes.

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Answer:

Base=36

Height=18

Step-by-step explanation:

To work this out you would first multiply 12 by 3, which gives you 36. Then you would multiply 6 by 3, which gives you 18.

1) Multiply 12 by 3.

[tex]12*3=36[/tex]

2) Multiply 6 by 3.

[tex]6*3=18[/tex]

3) Base=36

Height=18

[tex]\large\bf{\underline{\underline{\mathfrak{Question}:}}}[/tex]

The base and height of a triangle with base 12 in and the height 6 in are both tripled.

[tex]\large\bf{\underline{\underline{\mathfrak{Solution}:}}}[/tex]

It is given that,

[tex]:{\Longrightarrow{\small{\rm{The\:base\:of\:a\:triangle\:=\:12}}}}[/tex]

[tex]:{\Longrightarrow{\small{\rm{The\:height\:of\:a\:triangle\:=\:6}}}}[/tex]

And if both base and height get tripled then the base and height would be:

[tex]:{\Longrightarrow{\small{\rm{The\:base\:of\:a\:triangle\:=\:3×12}}}}[/tex]

[tex]{\therefore{\small{\rm{The\:new\:base\:of\:a\:triangle\:=\:36}}}}[/tex]

And,

[tex]:{\Longrightarrow{\small{\rm{The\:height\:of\:a\:triangle\:=\:3×6}}}}[/tex]

[tex]{\therefore{\small{\rm{The\:new\:height\:of\:a\:triangle\:=\:18}}}}[/tex]

Answer:

vertex and AOS is 0, and i think the stretch is 1

Step-by-step explanation:

Answer: vertex (0,0)

Vertical stretch

Axis of symmetry X=0

Step-by-step explanation:

Answer:

88.2 squared

Step-by-step explanation:

The formula to find the area of a circle is a = pi * r ^2

Let's replace the values that we know.

a = 3.14 x 5.3 ^2

First, we should do 5.3 ^2, which is 28.09.

a = 3.14 x 28.09

Now we are able to do 3.14 x 28.09 which is 88.2026

But that isn't it! We need to round to the nearest tenth, which is this digit:

88.2026

Since next to the 2 there is a 0, you take out all the numbers after that 2. Which leaves you with:

88.2

Final answer:

The area of the round mirror with a radius of 5.3 inches, when calculated using the formula A = πr^2 and rounded to the nearest tenth, is 88.2 square inches.

To find the area of the round mirror with a radius of 5.3 inches, we will use the formula for the area of a circle, which is A = πr^2, where A is the area, π is approximately 3.14, and r is the radius of the circle.

Given that the radius of the mirror is 5.3 inches, we can substitute this value into the formula to find the area:

A = π(5.3)^2 ≈ 88.2 square inches.

Let's plug in the radius:

When rounded to the nearest tenth, the area of the mirror is 88.2 square inches.

Answer:

The distance in miles between  the towns is 67.5.

Step-by-step explanation:

Given:

On a map the scale is shown as 0.5 inches equaling 15 miles.

If the distance are 2.25 inches apart on the map between the towns .

Now, to find the distance in miles between  the towns.

The distance on the map between the towns = 2.25 inches.

Let the actual distance between the two towns be [tex]x.[/tex]

The scale of the map is 0.5 inches equaling 15 miles.

If, 0.5 is equivalent to 15 miles.

Thus, 2.25 is equivalent to [tex]x.[/tex]

Now, to solve using by cross multiplication method:

[tex]\frac{0.5}{15} =\frac{2.25}{x}[/tex]

By cross multiplying we get:

[tex]0.5x=33.75[/tex]

Dividing both sides by 0.5 we get:

[tex]x=67.5\ miles.[/tex]

The actual distance between the two towns = 67.5 miles.

Therefore, the distance in miles between  the towns is 67.5.

Answer:

80 cm³

Step-by-step explanation:

Density = mass/volume

1.19 = 95.2/volume

Volume = 95.2/1.19

= 80

Answer:

80 cm cubed

Step-by-step explanation:

The density of a substance is denoted by d = m/V, where d is the density, m is the mass, and V is the volume.

Here, we know that the mass m = 95.2 grams and the density d = 1.19 g/cm cubed. So, plug these values into the formula:

1.19 = 95.2/V

Divide both sides by 1.19 and multiply both sides by V:

V = 95.2/1.19 = 80 cm cubed

Thus, the volume is 80 cm cubed.

Hope this helps!

Answer:

Step-by-step explanation:

Calculate the value of z and its probability, since with this we can know how likely it is that this will happen.

We have that the mean (m) is equal to 8.3, the standard deviation (sd) 1.2 and the sample size (n) = 15

They ask us for P (x =7.2)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / (sd / (n ^ 1/2))

We have all these values, replacing we have:

z = (7.2 - 8.3) / (1.2 / (15 ^ (1/2))

z = -3.55

With the normal distribution table (attached), we have that at that value the approximate probability is:

P (z = -3.55) = 0.0001

The probability is 0.01 %

This affirms that the students do not sleep what the study says because the probability of this happening according to the survey is almost nil.

Answer:

(x, -y)

Step-by-step explanation:

Look at the coordinates of the point C before the transformation (-2, 2)

look at the coordinates of the point C after the transformation, (-2,-2)

What is the difference between these two points?

Well the x is the same, the y is just the negative version of itself!

Answer:i need a better pic

Step-by-step explanation:

Answer:

3x^2-10x-8

Step-by-step explanation:

Answer:

2.18

Step-by-step explanation:

tan 70°=x/6

by cross multiplication

xtan70°=6

divide both sides by tan70°

x=6/tan70°

x=6/2.7475

x=2.18

Answer:

The measurements of all the right angles and the lengths of the two sides and the measurement of the included angle.

Step-by-step explanation:

the measurements of two angles

the measurements of two angles and the length of the included side

the lengths of two sides and the measurement of the included angle

Answer:

(0,1)

Step-by-step explanation:

Answer:

Sum a + b is irrational

Step-by-step explanation:

Any irrational number plus a rational number is always irrational.

Answer:

The total cost of the loan = $444,208.80¢

Step-by-step explanation:

Please kindly check the attached files for details

Answer: $444,309.60

Step-by-step explanation:

Answer:

20cm

Step-by-step explanation:

7.2 + 7.2 + 2.8 + 2.8 = 20

Each side of the rectangle is equal to the side opposite from it. That means you have 2 sides of 7.2 cm and 2 sides of 2.8 cm.

To find perimeter, you add all the sides. So that's 7.2 + 7.2 + 2.8 + 2.8, which is 20 cm altogether.

Answer:

C'(1, 2 )

Step-by-step explanation:

The translation (x + 3, y - 2 ) means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, thus

C(- 2, 4 ) → C'(- 2 + 3, 4 - 2 ) → C'(1, 2 )

Answer:

C = ( 1 , 2 )

Step-by-step explanation:

original : C =  ( -2 , 4 )

formula : ( x+3 , y-2 )

( -2 + 3 ) , ( 4 - 2 )

C = ( 1 , 2 )

ill answer the other 3 as well :)  

original : A = ( -6 , 2 )

formula : ( x+3 , y-2 )

( -6 + 3 ) , ( 2 - 2 )

A = ( -3 , 0 )

___________________

original : B = ( -5 , 4 )

formula : ( x+3 , y-2 )

( -5 + 3 ) , ( 4 - 2 )

B = ( -2 , 2 )

___________________

original : D = ( 1 , 2 )

formula : ( x+3 , y-2 )

( 1 + 3 ) , ( 2 - 2 )

D = ( 4 , 0 )

yw :)

Answer:  

1: -2.33 or -7/3

2: - 2.16 or -13/6

3: 3.49 x 10^4

4: 4.28*10-7

5: 0.81 or 9/11

6. 3

7: 8

8: 9 or up

9: 5 or up

10: 0-36

I hope any of this helps.... :D

Answer:

the answer is 3465

Step-by-step explanation:

got it right on ed

The required volume of composite figure is 3465 cubic units. Option d is correct.

For composite figure made of triangular pyramid over triangular prism both as congruent base with dimension h = 10 and base =22.
Hight for both pyramid and prism is 19.5 and 25
Volume of composite figure is to be determine,  

When two or more solid put together to form new solid is said to be composite figure.

Here,
Volume of a pyramid = 1/3(1/2 base x height of triangle base)*h of
Volume of a pyramid = 1/3*22*10/2*19.5 = 715 cubic units

Similarly, for triangular prism
Volume of a triangular prism= 22*10/2x 25 = 2750 cubic units

Total volume =  volume of a triangular (pyramid +  prism)
Total volume = 715+2750
Total volume = 3465 cubic units.

Thus the required volume of composite figure is 3465 cubic units.

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a) The function that represent this situation is y = 90 + 8x.

b)  His weight be after 8 weeks is 154 lbs.

Step-by-step explanation:

It is given that,

a) Write a function to represent this situation. Use x and y as your variables.

Hence the equation can be framed as,

Total weight = starting weight + weight gained in x weeks.

We know that, each week he gains 8 lbs. Therefore, for 8 weeks he gained 8x lbs of weight.

⇒ y = 90 + 8x.

∴ The function that represent this situation is y = 90 + 8x.

b) What would his weight be after 8 weeks?

To find his week after 8 weeks, substitute x=8 in the function y = 90 + 8x.

⇒ 90 + 8(8)

⇒ 90 + 64

⇒ 154 lbs.

∴ His weight be after 8 weeks is 154 lbs.

Answer: 14

Step-by-step explanation:

the question is just asking you to replace the x and y with the corresponding numbers.

x = 4

y = -3

Since x is 4 squared it would be 16.

-4 times -3 equals positive 12.

That would make the equation

(16 + 12) divided by 2

16 + 12 = 28 divide that by 2 and you’ll get 14.

Answer: 14

Step-by-step explanation:

First plug 4 in for x.

4^2 is equal to 16 because 4 x 4 is 16.

Next, plug in -3 for y.

-4 x -3

4 times 3 is 12 and they are both negative, therefore it turns out as a positive 12.

Then add the numbers on the top of your equation.

16+12=28.

Finally divide the sum by 2.

28 divided by 2= 14

Your answer is 14.

Hope this helps!

Answer:

rdgvvsssddas

Step-by-step explanation:

42423412

Answer:9

Step-by-step explanation:

12-9=3 12-3=9 3+9=12

So C=9

Hey there!

[tex]\large\boxed{c=9}[/tex]

12 - 9 + c = 12

Combine like terms.

3 + c = 12

Subtract 3 from each side of the equation.

3 - 3 + c = 12 - 3

c = 9

Check:

12 - 9 + c = 12

12 - 9 + 9 = 12

3 + 9 = 12

12 = 12

Hope this helps!

Answer:

The third choice

Answer:

c

Step-by-step explanation:

The correct option is Option B: is an A.P., because d = 10

An arithmetic progression, also known as an arithmetic sequence, is a sequence of numbers in which the difference between consecutive terms is constant. This constant difference is called the common difference and is denoted by 'd'.

The given sequence is:

-5, 5, 15, 25, ....

In every Arithmetic Progression (A.P.)

The common difference d

d= 2nd term - 1st term = 3rd term - 2nd term

d = 5-(-5) = 15 - 5

d = 10

Hence the common difference is 10,

Therefore  the sequence is an A.P., because d = 10

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The correct question

The sequence: -5, 5, 15, 25, ...

A. is not an A.  P.

B. is an A.P., because d = 10

C. is an A.P because d = 5

D is an A. P., because d = -10

Answer:

224 card combinations

Step-by-step explanation:

The total number of card designs can be found by multiplying the number of options available for each design element.

Total number of cards= 2x4x7x4=?

224 cards altogether