. Cathy is playing a game with a set of 52 cards. The cards are different
colors and each show a number.
• The probability of randomly selecting a black card is.
• The probability of randomly selecting a red card is.
If Cathy randomly selects a card, what is the probability that her card is
black OR red?

Answer:

Domain is {x|x = -2, -1, 1, 3}

Step-by-step explanation:

I. When domain is x.value and renge is y.value

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Answer:

SEE THE IMAGE FOR SOLUTION .

HAVE A GREAT DAY

Answer:

11. D

12. C

13. D

14. B

15. E

Step-by-step explanation:

11.

1/3 + 1/2 = 2/6 + 3/6 = 5/6

A is 3/4

B is 2/3

C is 9/10

D is 4/5

E is 2/5

the closest to 5/6 is 4/5.

12.

this is totally easy. just simply additions and one subtraction (to see what is left).

8+10+9 = 27

so, he has

60 - 27 = 33 hours left

13.

the mean value of a series of equal weighted numbers is simply their sum divided by the amount of numbers.

so,

(2+5+3+6+4)/5 = 20/5 = 4

14.

a scale factor is always applied to all dimensions, otherwise the result will be distorted. and that would be especially bad for a map.

so, clearly the width of the larger map is 3 times the width of the smaller map. therefore, the length of the larger map has to be also 3 fine the length of the smaller map.

3×6 = 18

15.

3t - 10 = 8

3t = 18

t = 6

Answer:

see explanation

Step-by-step explanation:

Given

6 - 4x - x²

Since the coefficient of the x² term < 0 then parabola has a maximum vertex.

To find the x- coordinate of the vertex

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

with a = - 1 and b = - 4 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{-2}[/tex] = - 2

The corresponding y- coordinate is found by substituting x = - 2 , that is

6 - 4(- 2) - (- 2)² = 6 + 8 - 4 = 10

vertex = (- 2, 10 )

The maximum value of the function is the y- coordinate of the vertex

Then maximum value is 10

Thus 6 - 4x - x² is never greater than 10

Here we have a problem of reflections and of how these reflections affect lines. Here we will find that the reflection does not affect the pair of parallel lines, and in the flipped shape we still have a pair of parallel lines.

We can define two parallel lines as two lines that never meet.

And, for a given point (x, y), the simplest reflection across a horizontal line is the reflection across the x-axis (or the line y = 0) as it transforms the point into:

(x, - y)

And all the reflections across horizontal lines will only affect the y-value of the points.

Now, particularly, we have two vertical and parallel lines.

Notice that a vertical line is defined by its x-value, and the transformation we used does not affect the x-value, so a reflection across a horizontal line will not affect a vertical line.

From this, we can conclude that the reflection across a horizontal line will not affect the pair of vertical parallel lines, so at the end, we still have only one pair of parallel lines.

If you want to learn more, you can read:

https://brainly.com/question/15627170

Step-by-step explanation:

the radius cuts the segment into two equal parts because it is perpendicular to the chord

Answer:

Step-by-step explanation:

As O is the mid point of the circle

Similarly, B also becomes the mid point of the line AC.

So, line OB divides AB and BC equally.

Hence, lines AB = AC, but they are asking to prove congruency of triangles.

So, u have to join OA and OC.

Same way,   line OB divides ∠OBA and ∠OBC.

So it is proved that AB = AC

Answer:

-(n -1)(n^2 + n + 1)(n + 1)(n^2 - n + 1).

Step-by-step explanation:

1 - n^6 = (1 - n^3)(1 + n^3)

1 - n^3 = -(n -1)(n^2 + n + 1)  and

1 + n^3 = (n + 1)(n^2 - n + 1)

So Substituting we have:

-(n -1)(n^2 + n + 1)(n + 1)(n^2 - n + 1)

Answer:

Step-by-step explanation:

Answer:

y = 2x + 2

BRAINLIEST, PLEASE!

Step-by-step explanation:

(-2, -2) (-1, 0)

y = mx + b (m = slope, b = y-intercept)

m = rise/run = change in y / change in x

change in y: +2

change in x: + 1

change in y/change in x = 2/1 = 2

m = 2, y = 2x + b

We can plug -1 in for x, and 0 in for y.

0 = 2(-1) + b

0 = -2 + b

b = 2

y = 2x + 2

Answer:

y = 2x + 2

Step-by-step explanation:

Answer:

(6,-3)

Step-by-step explanation:

Using midpoint formula, we have

x=(4+8)/2=12/2=6

y=(-10+4)/2=-6/2=-3

[tex]\\ \sf\longmapsto 2-x\gt x-2[/tex]

[tex]\\ \sf\longmapsto 2+2\gt x+x[/tex]

[tex]\\ \sf\longmapsto 4\gt 2x[/tex]

[tex]\\ \sf\longmapsto x\lt \dfrac{4}{2}[/tex]

[tex]\\ \sf\longmapsto x\lt 2[/tex]

Answer:

n = 7

Step-by-step explanation:

-2(-6n-3)-8=82,

12n + 6 - 8 = 82,

12n -2 = 82,

12n = 84,

n = 7

Answer:

n=7

Step-by-step explanation:

-2(-6n-3)-8=82

Add 8 to both sides

-2(-6n-3)-8+8=82+8

Simplify

-2(-6n-3)=90

Divided both sides by -2

-2(-6 -3) = 90

2 -2

Simply

-6n-3=-45

Add 3 to both sides

-6n-3+3=-45+3

Divided both side by -6

-6n = -42

-6. -6

Simply

n=7

This is one way you could write out the steps

f(x) = -2x^2 - 5

f(2) = -2(2)^2 - 5

f(2) = -2(4) - 5

f(2) = -8 - 5

f(2) = -13

Answer:

Step-by-step explanation:

First you have to get the meaning clear.

f(2) means that wherever you see an x on the right side of the equation, you put a 2.

f(2) means -2*(-2)^2 - 5

(-2)^2 = -2 * -2 = 4

f(2) = -2 * 4 - 5

f(2) = - 8 - 5

f(2) = -13

Answer:

40 and 60

Step-by-step explanation:

Sum of ratio=2+3

sum of ratio=5

Share of part 2=2/5*100

share of part 2=40

Share of part 3=3/5*100

share of part 3=60

Note:if you need to know any question please let me know.

Answer:

-8x^2 -10x + 8

Step-by-step explanation:

there is no multiplying just adding

1 meter = 100 cm

4 meters x 100 = 400 cm

Divide total cm by cm per piece:

400/5 = 80

80 pieces.

Answer:

n = 6

Step-by-step explanation:

To solve this you can use an equation such as:

[tex]\frac{2}{3} n+4=8\\\\[/tex]

We need to so for n. Subtract 4 from both sides to get the variable (n) alone. 4 - 4 and 8 - 4 equals:

[tex]\frac{2}{3}n=4[/tex]

So now we divide both sides by 2/3.

This now equals:

[tex]n=6[/tex]

Answer:

-21

Step-by-step explanation:

h(x) = -x-18

h(3) = -(3)-18 = -21

Answer:

[tex]h(3)=-21[/tex]

Step-by-step explanation:

One is given the following:

[tex]h(x) = -x - 18[/tex]

One is asked to find the value of ([tex]h(3)[/tex]). Substitute ([tex]3[/tex]) in place of ([tex]x[/tex]) and simplify to evaluate,

[tex]h(x)=-x-18\\\\h(3)=-(3)-18\\\\h(3)=-3-18\\\\h(3)=-21[/tex]

Answer:

20

Step-by-step explanation:

The distance formula is just

[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2} \\d = \sqrt{(-16-4)^2+(0)^2}\\d = \sqrt{(-20)^2} \\d = \sqrt{400} \\d = 20[/tex]

Answer:

.03

Step-by-step explanation:

1 pound = 16 ounces 2 pounds is 32

and 96/32 is 3

Answer:

$.03 per ounce

Step-by-step explanation:

1 pound = 16 ounces

2 pounds = 32 ounces

Take the price and divide by the number of ounces

.96 / 32 ounces

.03 per ounce

Answer:

What?

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Fractions cant be integers

Answer:

Step-by-step explanation:

False

First you have to  know what a natural number is.

They are all the integers from 1 to infinity.

Naturally they are closed for addition. 3 + 9 = 12. You can make as many examples as you like. You will not get anything outside the natural numbers.

3934859433993393390 + 4 + 22 is still going to give you a natural number.

Subtraction is a different matter.

44 - 100 is not in the natural number system.

Multiplication is OK.

5555 * 44444 still is a member of the natural numbers.

What about division? Remember, all you need is one example that doesn't work to say that the natural numbers aren't closed. Ready. How about

33/83?

Using the information in the exercise to develop the system of equations and using the substitution method, the following answers are found:

The system of the linear equations is P = F + 0.50, 2D = 3F - 0.50, and 2P + F + 3D = 7.75, where P = The price of a box of popcorn, D = The price of a drink, and F = The price of a piece of fruit. By other hand, the price of each item is: Popcorn = $1.50, Drink = $1.25, and Fruit = $1.

Solution of the system of equations by the Substitution Method.

Taking into account the information given in the exercise, we can write the next equations:

Where:

Since all equations have the variable F, we are going to use it as a key variable to represent the other variables in terms of F.

In the first equation we should not do anything, since P is in terms of F, in the second case the variable D is also in terms of F, but we need to find the value of just D, by this:

We proceed to substitute the first and second equations in the third equation:

And we solve for the variable F:

Now, we can solve for the variable D with the second equation:

Finally, we can solve for the variable P with the first equation:

So, we have the price of each item:

If you want to see another exercise solved by the substitution method, you can see this link: https://brainly.com/question/22340165?referrer=searchResults

straight angles ( 1 , 2 , 3 , 4 ) parallel to straight angles Angles ( 5 , 6 , 7 , 8 )

m<8 = m< 6 = 23° [ Opposite angles]

m< 4 = m< 2 = 23°

m<8 + m< 5 = 180°

23° + m< 5 = 180°

m<5 = 180 - 23 = 157

m< 5 = m< 7 = 157° [ Opposite angles]

m< 1 = m< 3 = 157° [ Opposite angles]

straight angles ( 1 , 2 , 3 , 4 ) parallel to straight angles Angles ( 5 , 6 , 7 , 8 )

I hope I helped you^_^

Answer:

19/20 cups

Step-by-step explanation:

Add the amounts together

1/4 + 7/10

Get a common denominator of 20

1/4 *5/5   + 7/10 *2/2

5/20 + 14/20

19/20

Answer:

19/20

Step-by-step explanation:

find a common denominator then do the same with the numerator then add.

Answer:

1000

[tex]1000 \sqrt{6} [/tex]

Step-by-step explanation:

Given: Dimensions of each triangular piece used in umbrella.

Reasoning: By using Heron’s formula, we can calculate the area of a triangle.

Heron's formula for the area of a triangle, Area = √s(s - a)(s - b)(s - c)

Where a, b, and c are the sides of the triangle, and

s = Semi-perimeter = Half the Perimeter of the triangle = (a + b + c)/2

We know that umbrella is made of 10 triangular pieces of cloth of two different colours.

Let us calculate the area of one triangle.

For each triangle, a = b = 50 cm, c = 20 cm

Semi Perimeter

s = (a + b + c)/2

= (50 + 50 + 20)/2

= 120/2

= 60 cm

By using Heron’s formula,

Area of triangle = √s(s - a)(s - b)(s - c)

= √s(s - a)(s - b)(s - c)

= √60(60 - 50)(60 - 50)(60 - 20)

= √60 × 10 × 10 × 40

= 200√6 cm2

Therefore,

Area of 10 triangular pieces = 10 × 200√6 cm2 = 2000√6 cm2

Hence, cloth required for each colour = (Total area of the cloth)/2

= (2000√6)/2

= 1000√6 cm2

Thus, 1000√6 cm2 cloth of each colour is required for the umbrella

(x+3)(x^2-3x+27)

x^3-3x^2+27x+3x^2-9x+81

x^3+19x+8