3 Simplify the expression: 5! 2:3! 4. Simplify the expression:​

Answer:

9/19

Step-by-step explanation:

Number of slots  =38

red balls R  = 38, black balls B = 18, green balls G = 2

we want to calculate

P( Red ball/ previous 4 spins are red) = P( red ball)       [because each spin is independent to other]

= 18/38 = 9/19

Answer:

5x + 25

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

5(x + 5)

Step 2: Expand

Answer:

1/19

Step-by-step explanation:

In order to find the reciprocal of a number, we need to flop it over.

"Flopping over" is not the same as "changing the sign of the number"

So what does "flopping over" actually mean?

Consult the following formula:-

[tex]\sf{The~reciprocal~of~a~is\mapsto\frac{1}{a} }[/tex]

According to the formula,

[tex]\sf{The~reciprocal~of~19~is~\frac{1}{19}}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

1. x = 2

2. x = 6

3. x = 6

4. x = 1

Step-by-step explanation:  i think thats it

Answer:

x = 2, x = 3, x = 6, x = 1

Step-by-step explanation:

1

2(x + 3) = 10 ( divide both sides by 2 )

x + 3 = 5 ( subtract 3 from both sides )

x = 2

2

2(x + 3) = 9 + x ← distribute parenthesis on left side

2x + 6 = 9 + x ( subtract x from both sides )

x + 6 = 9 ( subtract 6 from both sides )

x = 3

3

2(2x + 1) = 3x + 8 ← distribute parenthesis on left side

4x + 2 = 3x + 8 ( subtract 3x from both sides )

x + 2 = 8 ( subtract 2 from both sides )

x = 6

4

2(2x + 3) = x + 9 ← distribute parenthesis on left side

4x + 6 = x + 9 ( subtract x from both sides )

3x + 6 = 9 ( subtract 6 from both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Answer:

(csc c-cot c) ^2

Step-by-step explanation:

Answer:

[tex]5^{-2}[/tex]

Step-by-step explanation:

[tex]5^{(10-12)}[/tex]

The simplified expression in the form 5^n is 5^−1×6.

A fraction represents a part of a number or any number of equal parts.

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

We are given that;

Form=5 ^ n

Now,

To simplify the expression, we need to first rewrite the fractions with a common denominator of 60: (5/10)/(5/12)=(5×6)/(10×6)÷(5×5)/(12×5)=(30/60)/(25/60)

Then we need to invert the second fraction and multiply: (30/60)/(25/60)=(30/60)×(60/25)=30/25

Then we need to simplify the fraction by dividing both numerator and denominator by 5: 30/25=(30÷5)/(25÷5)=6/5

Finally, we need to rewrite the fraction in the form of 5n

by using the property that a/b=a×b−1

So we have: 6/5=6×5−1=50×6×5−1=50−1×6=5−1×6

Therefore, by the fraction the answer will be 5^−1×6.

Learn more about fraction;

https://brainly.com/question/729654?referrer=searchResults

#SPJ2

Answer:

102 foot^3

Step-by-step explanation:

First, the box in the middle: 4x3x8=96

Then the 2 other boxes are: 2x(1x1x3)=6

6+96=102

Answer:

The answer is E infinitely many.

Step-by-step explanation:

The answer is Infinitely because if the sides are parallel then the other two sides must be the same measurement. However, they can be any measurement they want. So the answer is infinite triangles.

Answer:

6400

Step-by-step explanation:

(8)(10)2

(80)2

6400

Answer:

160

Step-by-step explanation:

you replace x with 8 and replace y with 10

Whenever the numbers are close together such as "xy2" it mean you're multiplying

so whwn you multiply 8 * 10 * 2   you would get 160

Hoped this helped!

Answer: B

Step-by-step explanation:

Answer:

67 886/1093

Step-by-step explanation:

Step-by-step explanation:

For 1st question

x = 35° + 15° {exterior angle of a triangle is equal to the sum of two opposite interior angles }

x = 50°

For second question

9x + 16° = 90° + 5x - 14°{exterior angle of a triangle is equal to the sum of two opposite interior angles }

9x - 5x = 90° - 14° - 16°

4x = 60°

x = 60° / 4

x = 15°

Hope it will help :)

Answer:

221

Step-by-step explanation:

Day 8 is the first day of the second week.

Day 21 is the last day of week 3.

We need to know the n umber of bicycles made from t = 1 to t = 3

The function is b(t) = 110 + 0.5t^2 - 0.9t, where t is in weeks.

We need to integrate the function with the limits of 1 to 3.

[tex] \int_{1}^{3} (110 + 0.5t^2 - 0.9t) dt [/tex]

[tex] \int_{1}^{3} (110 + \dfrac{t^2}{2} - \dfrac{9t}{10}) dt [/tex]

[tex]= 110t + \dfrac{t^3}{6} - \dfrac{9t^2}{20} \Biggr|_{1}^{3}[/tex]

[tex] = 330.45 - 109.72 [/tex]

[tex] = 220.7333 [/tex]

Answer: 221

Answer:

a) 5/12 probability of selecting a red marble.

b) 7/12 probability of selecting a green marble.

c) 0% probability of selecting a purple marble.

d) All marbles are either red or green, so 100% probability of selecting a red or a green marble

Step-by-step explanation:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

a) A red marble

5 red marbles out of 5 + 7 = 12 total marbles

So, 5/12 probability of selecting a red marble.

b) A green marble

7 green marbles out of 5 + 7 = 12 total marbles

So, 7/12 probability of selecting a green marble.

c) A purple marble

There are no purple marbles, so 0% probability of selecting a purple marble.

d) A red or a green marble

All marbles are either red or green, so 100% probability of selecting a red or a green marble

Answer: Choice A

==========================================================

Explanation:

One shaded region is below the parabola, and the other shaded region is below the line. They both overlap outside the parabola, but under the straight line.

Since both shaded regions are below their respective boundaries, this means that we'll be using "less than" signs for each inequality. The solid boundary lines indicate "or equal to" is part of that as well.

Because of this, the answer is between A and D since both involve inequality signs that have "less than or equal to".

However, we can rule out choice D since the inequality [tex]y \le x+3[/tex] would have the boundary line [tex]y = x+3[/tex], and this boundary line has a positive slope. But notice how the red diagonal line slopes downward as we read from left to right. Therefore, the red line must have a negative slope. Luckily, choice A has one of the boundary lines as y = -x+3 to fit the description. So that's why choice A is the answer.

The system of Inequality shown by the graph given is; Option A; y ≤ x + 3 ; y ≤ x² - 3x

From the given inequality graph, we can see that one of the shaded regions is below the parabola while the other one is in between the bottom of the line and the parabola.

Due to the fact that both shaded regions are below their respective boundaries which are parabola and line respectively and the boundary lines are thick, it means that we will make us of the "less than or equal to" signs for each inequality.

Because of this, the answer is between A and D since both involve inequality signs that have "less than or equal to".

Thus, the correct answer is option A

Read more about Inequality at; https://brainly.com/question/25275758

Answer:

52mph

Step-by-step explanation:

260/5

Answer:

no

Step-by-step explanation:

Answer:

(2,-8)

Step-by-step explanation:

y have

y=3x-14

y=x-10

we can substitute y in the first equation with x-10

x-10=3x-14

solve for x

4=2x

x=2

Now that we know what x equals we can solve for y

3(2)-14

6-14

-8=y

(2,-8)

Answer:

1/6

Step-by-step explanation:

here is it

Answer:

6 feet from the greater force

Step-by-step explanation:

X = length from greater weight to fulcrum

132X = 88(15-X)

132X = 1320-88X

220X = 1320

X = 6

Answer:

Step-by-step explanation:

Average speed is distance divided by time.

s=(101km)/(1hr)

s=101 km/hr

Answer:

21 units

Step-by-step explanation:

The formula for solving a triangle is (b×h)/2

So that means 7 × 6 = 42 so then you want to divide 42 by 2

42÷2= 21

Answer:

D 21

Step-by-step explanation:

A=1/2bh is the  formula it’s simpl.

Answer:

0.81 = 81% probability that a randomly selected student is taking a math class or an English class.

0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class

Step-by-step explanation:

We solve this question working with the probabilities as Venn sets.

I am going to say that:

Event A: Taking a math class.

Event B: Taking an English class.

77% of students are taking a math class

This means that [tex]P(A) = 0.77[/tex]

74% of student are taking an English class

This means that [tex]P(B) = 0.74[/tex]

70% of students are taking both

This means that [tex]P(A \cap B) = 0.7[/tex]

Find the probability that a randomly selected student is taking a math class or an English class.

This is [tex]P(A \cup B)[/tex], which is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A \cup B) = 0.77 + 0.74 - 0.7 = 0.81[/tex]

0.81 = 81% probability that a randomly selected student is taking a math class or an English class.

Find the probability that a randomly selected student is taking neither a math class nor an English class.

This is

[tex]1 - P(A \cup B) = 1 - 0.81 = 0.19[/tex]

0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class