1. Kaly can select from 5 types of candies and 4 types of chocolates . If she randomly selects 1 chocolate and 1 candy, how many possible options does she have?
Kaly has a total of [a] possibilities.


2. Ana is having dinner with her parents at Bellini in Weston that serves 5 kinds of pasta (penne, rigattoni, angel hair, cannelloni, and tortellini) in 4 different flavors (four cheese, pesto, pink sauce, and bolognese). If Ana randomly picks one kind of pasta and flavor, what is the probability that Ana ends up with rigattoni, pink sauce, or both? Enter your answer as a simplified fraction. Use / to write your fraction.
The probability is [a]


3. Kyle has 3 pairs of pants, 4 pairs of shoes, and 5 shirts. How many attire can Kyle make consisting of 1 pair of pants, 1 shirt, and 1 pair of shoes? Group of answer choices
60
20
12
30

Answer:

− 20 x ^2 + 5 x − 6

Step-by-step explanation:

Answer:

[tex]-20x^2+5x-6\\[/tex]

Step-by-step explanation:

Start by removing the grouping symbols (parentheses) using the sign rules:

[tex](-5x^2+2x+6)-(9x^2+2x+9)+(-6x^2+5x-3)=\\=-5x^2+2x+6-9x^2-2x-9-6x^2+5x-3[/tex]

Then we re-order and combine like terms:

[tex]-5x^2+2x+6-9x^2-2x-9-6x^2+5x-3=\\=-5x^2-9x^2-6x^2+2x-2x+5x+6-9-3=\\=-20x^2+5x-6[/tex]

Answer:

-1

Step-by-step explanation:

in statistics, the correlation coefficient r measures the strength and direction of a linear relationship between two variables on a scatterplot. The value of r is always between +1 and –1. To interpret its value, see which of the following values your correlation r is closest to: Exactly –1.

hope this help

Answer:

the first graph

Step-by-step explanation:

Answer:

1) y=1/2x+12

2)y=-2x+13

3) Parallel lines have same slope, different y intercept and perpendicular lines have opposite reciprocal slopes.

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

Y = mx + b is the slope-intercept form of a straight line where  m = the slope of the line and b is the y-intercept.

Parallel lines have the same slope so the equation of a line parallel to

y = 1/2x + 13 could be  y =1/2x + 10 as they have the same slope of 1/2.

Equations which are perpendicular:

If the slope of one  is m then the slope of the perpendicular equation is -1/m.

So for y = 1/2 x + 13  an equation perpendicular could be y=  -(1 / 1/2) + 13

= y = -2x +  13

Answer:

<2 and <4 = 74 degrees

Step-by-step explanation:

<7=<1, alt exterior angles

<1=<3, opposite angles

<1+<2= 180

since angle one is 106 just subtract 106 from 180 and you get 74= <2

<2 and <4 are opposite angles so they are congruent

therefore, <2 and <4 = 74 degrees.

Answer:B

Step-by-step explanation:

Thats right

Answer:

do you still need the answer?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Well it can't be the bottom 2 because those are for range and this says to find the domain. How to find the domain you look at the first point and the last point. So in this case it would be -7 and 4 cause that's where the two points are. Does that make sense?  

Hope I helped you!

Complete Question

Given the right triangle(SEE ATTACHED), find tan(α)

Answer:

(A) [tex]\tan(\alpha)=\dfrac{24}{7}[/tex]

Step-by-step explanation:

In the given right triangle,

From Trigonometry, we know that:

[tex]\tan(\alpha)=\dfrac{Opposite}{Adjacent}[/tex]

We determine the unknown side using Pythagoras theorem.

Let the unknown side be x

[tex]25^2=24^2+x^2\\x^2=25^2-24^2\\x^2=49\\x^2=7^2\\x=7$ units[/tex]

Therefore:

[tex]\tan(\alpha)=\dfrac{24}{7}[/tex]

The correct option is A

Answer:

ITS 7/25

Step-by-step explanation:

Hello !

((new value - old value) / old value) × 100

((30.60 - 25.50) / 25.50) × 100

= (5.10/25.50) × 100

= 0.2 × 100

= 20

→ The rate of increase is 20%

× × i hope i helped you ! × ×

A.)

[tex] \sqrt{5 {x}^{2} } + 15x[/tex]

Hence [tex]\sqrt{5x} * \sqrt{x+3}[/tex] is equivalent to [tex]\sqrt{5x^{2} +15x}[/tex] by solving equation we will get back given equation term.

Equivalent value or dated value refers to the value of an original quantity at a specific point in time. The equivalent payment is made up of the initial amount plus any interest accrued up to the dated value date. When money is due or payable at separate times, it is impossible to compare them immediately.

Given hence solving [tex]\sqrt{5x} * \sqrt{x+3}[/tex] equation by multiplying both terms

=[tex]\sqrt{(5x*x+5x*3}[/tex]

=[tex]\sqrt{5x^{2} +15x}[/tex]

Hence [tex]\sqrt{5x} * \sqrt{x+3}[/tex] is similar to [tex]\sqrt{5x^{2} +15x}[/tex] by solving equation we will get back given equation term.

Learn more about equivalent equations

https://brainly.com/question/843074

#SPJ2

Answer:

Answer B is correct

Step-by-step explanation:

Congruent - SAS

LM = OP (side)

MN = PQ (side)

<M = < P ( angle)

hope this helps

brainliest appreciated

good luck! have a nice day!

Yes, ΔLMN ≅ ΔPQO. The postulate that applies as congruent is SAS. The correct answer is B.

Two triangles are said to be congruent if their corresponding sides and angles are equal.

Given,

side LM ≅ side OP

side MN ≅ side PQ

∠M = ∠P

As per the shown figure, we have two triangles consist:

LM = OP (side)

∠M = ∠P ( angle)

MN = PQ (side)

According to Side-Angle-Side criterion, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.

Thus, ΔLMN congruent to ΔPQO.

Learn more about congruent triangles here:

brainly.com/question/4364353

#SPJ7

Answer:

112°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

16x is an exterior angle of the triangle, thus

16x = 7x - 1 + 8x + 8, that is

16x = 15x + 7 ( subtract 15x from both sides )

x = 7

Thus

16x = 16 × 7 = 112

The exterior angle is 112°

Answer: 2 7/8 divided by 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 7/8 divided by 1/12

Answer:

less likely

Step-by-step explanation:

Answer:

add -15 and 9

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

i think the answer is 1.2 or 1.7

you first need to add together all of the children and then divide by 6

Answer:

The answer is at least 360 degrees.

Step-by-step explanation: A circle can't have more that a 360 degrees!

Answer:

b

{b}^{2} [/tex]

Answer:

4 times greater

Step-by-step explanation:

Prism A

SA = 2 (lw+wh+lh)  where l is length w is width and h is height

SA = 2 ( 5*6+ 6*7+ 5*7)

SA = 2(30+42+35)

SA = 2(107)

SA =214

Prism B

SA = 2 (lw+wh+lh)  where l is length w is width and h is height

SA = 2 ( 10*12+ 12*14+ 10*14)

SA = 2(120+168+140)

SA = 2(428)

SA =856

Robert is not correct

856/214 =4

Prism B is 4 times greater

Answer:

Prism B's surface area is 4 times Prism A's.

The surface area of Prism A is 214 square centimeters.

The surface area of Prism B is 856 square centimeters.

Step-by-step explanation:

To find the surface area of a rectangular prism, use this formula:

[tex]A=2(wl+hl+hw)[/tex]

Where w is the width, h is the height, and l is the length.

Substitute the values given for Prism A and Prism B into the formula to find each prism's surface area:

Prism A:

[tex]A=2(5 * 6+6 * 7+5 * 7)\\A = 2 (30 + 42 + 35)\\A = 214[/tex]

Prism B:

[tex]A=2(10*12+12*14+14*10)\\A = 2 (120 + 168 + 140)\\A = 856[/tex]

Prism B's surface area is 4 times Prism A's.

The surface area of Prism A is 214 square centimeters.

The surface area of Prism B is 856 square centimeters.

Hey!!!

Here's your answer:

<A=7x+40

<B=60 degree

7x+40+60=180( sum of angle in straight line)

or,7x+100=180

or,7x=180-100

or,7x=80

or,X=80/7

X=11.42

Now,

Replacing value,

<A=7x+40

=7*11.42+40

=79.94+40

= 119.94 degree

<B=60 degree

<C=<A[ being vertically opposite angles]

<C=119.94 degree

<D=<B[being vertically opposite angles]

<D=60 degree

<W=<A[ being corresponding angles]

<W=119.94 degree

<X=<B[being corresponding angles]

<X=60 degree

<Y=<W[being vertically opposite angles]

<Y=119.94 degree

<Z=<X[being vertically opposite angles]

<Z=60 degree.

Hope it will help you

Good luck on your assignment

Answer:

D

Step-by-step explanation:

Happy I could help!

Step-by-step explanation:

Let's find the equation of the line first.

x + 2y = 4

2y = -x + 4

y = -1/2 x + 2

Graph this line first. Now, we have to find which side of the line we will shade. Let's plug in (0, 0) to the original inequality. We get 0 + 0 ≤ 4, which is a true statement, so we will shade below the line. We will keep the line solid because the comparison is ≤, meaning all the points on the line are also solutions to the inequality. Hope this helps!

Hey there! I'm happy to help!

In a 30-60-90 triangle, the shorter leg is always 1/2 of the hypotenuse. This can be proven using many different methods and there a lot of interesting videos out there about it. This is useful in geometry, trigonometry, and more.

So, if we know that the shortest leg is 12, we can make the following equation. We will have h represent the hypotenuse.

1/2h=12

Now, we simply divide both sides by 1/2 (which is the same as multiplying both sides by two.

h=24

Therefore, the hypotenuse is C) 24.

I hope that this helps! Have a wonderful day!

Answer: There is a positive linear association

Step-by-step explanation:

The best fitted statement is

There is a positive linear association.

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association).

If one variable increases roughly at the same rate as the other variables change by one unit, the relationship is said to be linear.

The scatter plot below shows the average number of customers who visit a food truck per day, depending on the number of days the food truck stays in the same location.

As, If the slope is positive, then there is a positive linear relationship, i.e., as one increases, the other increases.

If the slope is negative, then there is a negative linear relationship, i.e., as one increases the other variable decreases.

Here, the slope seems to be positive.

Thus, this is positive linear Association.

Learn more about Linear Association here:

https://brainly.com/question/29299187

#SPJ3

Answer:

shape and size

Step-by-step explanation:

When two triangles are congruent, they are the same via the size of it such as the angles they have. If one triangle has 30-60-90, the other also has 30-60-90, with the same shape.

Answer:

Size and shape.

Step-by-step explanation:

Size and shape.

All three angles and all three sides are congruent.

Answer:

its always wrong

Step-by-step explanation:

any variable always has a holder of 1

so 01b doesnt equal 4

Answer:

coz it will be undefined

Step-by-step explanation:

coz it will be UNDEFINED

4/0=undefined

Answer:

[tex]f^{-1}(x)=\frac{2x}{x-1}[/tex]

Step-by-step explanation:

Start by replacing f(x) by the variable "y" and solving for x in the equation:

[tex]f(x)=\frac{x}{x-2} \\y=\frac{x}{x-2}\\(x-2)\,y=x\\xy-2y=x\\xy-x=2y\\x(y-1)=2y\\x=\frac{2y}{y-1}[/tex]

Now do the final replacement using the inverse function notation, and replacing "y" with "x":

[tex]x=\frac{2y}{y-1} \\f^{-1}(x)=\frac{2x}{x-1}[/tex]

The inverse of the function f(x)= x/x-2 is; f-¹(x) = 2x/(x-1)

Since the function can be rewritten as;

By making x the subject of the function;

By swapping x and y; we then have;

The inverse function is therefore; f-¹(x) = 2x/(x-1)

Read more:

https://brainly.com/question/12220962

Answer:

60 degrees

Step-by-step explanation:

The measure of the angle ACE is 60 degrees.

An arc is simply a part of the circumference of a circle or other curve.

as we have arc AE is 120 degrees.

Then by the properties of the interior and the exterior arc, arc BD, which is angle ACE is 120/2=60 degrees.

Learn more about Arc:

https://brainly.com/question/2005046

#SPJ2