Write an equation in point-slope form. Crossing the x-axis at x = -3 and the y-axis at y = 6​

Answer:

Option (3)

Step-by-step explanation:

Given expression is,

(6 × 10⁸) ÷ (1.5 × 10⁻⁴)

We can rewrite the given expression as,

[tex]\frac{6\times 10^8}{1.5\times 10^{-4}}[/tex]

Now by solving this expression further,

[tex]\frac{6\times 10^8}{1.5\times 10^{-4}}=\frac{6}{1.5}\times \frac{10^8}{10^{-4}}[/tex]

             [tex]=4\times 10^8\times 10^4[/tex] [Since [tex]\frac{1}{10^{-4}} =10^4[/tex]]

             = [tex]4\times 10^{(8+4)}[/tex]

             = [tex]4\times 10^{12}[/tex]

Therefore, Quotient of the given expression is [tex]4\times 10^{12}[/tex].

Option (3) will be the answer.

Answer:

The vector of magnitude 3 in the direction of [tex]\vec v = 12\,\hat{i}-5\,\hat{k}[/tex].

Step-by-step explanation:

Let be [tex]\|\vec u\| = 3[/tex] and [tex]\vec v = 12\,\hat{i}-5\,\hat{k}[/tex], the resultant in the direction of [tex]\vec v[/tex] can be obtained by using the following expression:

[tex]\vec u = \frac{\|\vec u\|}{\|\vec v\|} \cdot \vec v[/tex]

Where:

[tex]\|\vec v\|[/tex], [tex]\|\vec u\|[/tex] - Norms of [tex]\vec v[/tex] and [tex]\vec u[/tex], respectively.

Now, we get the norm of [tex]\vec v[/tex] by Pythagorean Theorem:

[tex]\|\vec v\| = \sqrt{12^{2}+(-5)^{2}}[/tex]

[tex]\|\vec v\| = 13[/tex]

The vector is now determined:

[tex]\vec u = \frac{3}{13} \cdot (12\,\hat{i}-5\,\hat{k})[/tex]

[tex]\vec u = \frac{36}{13} \,\hat{i}-\frac{15}{13}\, \hat{k}[/tex]

The vector of magnitude 3 in the direction of [tex]\vec v = 12\,\hat{i}-5\,\hat{k}[/tex].

Answer and Step-by-step explanation:

A) For the model to be a probability distribution, it has to follow two conditions:

1) The probability of each value of the discrete random variable is between, and included, 0 and 1:

2) The sum of all probabilities is 1;

In the table shown, the probabilities are from 0 to 0.3 - between 0 and 1;

Adding the probabilities: 0 + 0.3 + 0.1 + 0.3 + 0.3 = 1

Therefore, this model is a valid probability distribution model.

B) They are discrete because each value correspond to a finite number of possible values.

C) Expected value is calculated by

[tex]E(X) = \Sigma xP(x)[/tex]

[tex]E(X) = 0.0 + 1*0.3 + 2*0.1 + 3*0.3 + 4*0.3[/tex]

E(X) = 2.6

D) P(X=3) = P(3), which means probability of 3:

P(X=3) = 0.3

E) P(X<4): probabilities of values of X that are less than 4:

P(X<4) = P(0) + P(1) + P(2) + P(3)

P(X<4) = 0 + 0.3 + 0.1 + 0.3

P(X<4) = 0.7

F) P(X>0) = P(1) + P(2) + P(3) + P(4)

P(X>0) = 0.3 + 0.1 + 0.3 + 0.3

P(X>0) = 1

G) P(X=5) = P(5)

There is no probability of P(5) because the model doesn't "cover" that number.

H) P(X=0) = P(0)

P(X=0) = 0

I) The total area of any density curve is 1 because it represents all the possible values a variable can assume.

The answers are given as- A) Model is a valid probability distribution model.

B ) The described random variable is discrete.

C ) Mean E(X) = 2.6

D)  P(X=3) = 0.3

E )  P(X < 4) = 2.6

F )  P(X > 0) = 1

G ) There is no probability of P(5)

H ) P(X = 0) = 0

I ) The total area of any density curve is 1

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

A) For the model to be a probability distribution, it has to follow two conditions:

In the table shown, the probabilities are from 0 to 0.3 - between 0 and 1;

Adding the probabilities: 0 + 0.3 + 0.1 + 0.3 + 0.3 = 1

Therefore, this model is a valid probability distribution model.

B) They are discrete because each value correspond to a finite number of possible values.

C) Expected value is calculated by

E(x) = ∑ P(x)

E ( x) = 0 + ( 1 x 0.3 ) + ( 2 x 0.1 ) + 3 ( 0.3 ) + 4 ( 0.3 )

E(X) = 2.6

D) P(X=3) = P(3), which means a probability of 3:

P(X=3) = 0.3

E) P(X<4): probabilities of values of X that are less than 4:

P(X<4) = P(0) + P(1) + P(2) + P(3)

P(X<4) = 0 + 0.3 + 0.1 + 0.3

P(X<4) = 0.7

F) P(X>0) = P(1) + P(2) + P(3) + P(4)

P(X>0) = 0.3 + 0.1 + 0.3 + 0.3

P(X>0) = 1

G) P(X=5) = P(5)

There is no probability of P(5) because the model doesn't "cover" that number.

H) P(X=0) = P(0)

P(X=0) = 0

I) The total area of any density curve is 1 because it represents all the possible values a variable can assume.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ5

Answer:

Joni.

Step-by-step explanation:

Joni's calculation is the closest to the actual value.

How much Wally was off: [tex]12.8-12.546=0.254[/tex]

How much Rex was off: [tex]12.8-12.59=0.21[/tex]

How much Amanda was off: [tex]12.8-12.69=0.11[/tex]

How much Joni was off: [tex]12.8-12.75=0.05[/tex]

She was off by 0.05, which is the smallest out of the other people.

This means that her calculation was the closest to the actual value of 12.8 oz.

Thus, her calculation is the most accurate.

Answer:

√6

Step-by-step explanation:

The short leg is half the hypotenuse, so √8÷2=√2

The base is √3 times the short leg, so √2·√3=√6

Answer:

-2 1/36 or -2.028

Step-by-step explanation:

tik(tok) slapddaddy

Complete Question

The  complete question is shown on the first uploaded  image

Answer:

The correct option is  C

Step-by-step explanation:

The correct option is  

   The firm should forget the new product, accept the loss of the investment and work on innovations that show signs of being more profitable.

The  reason for this is that the period that the company is to recover the funds allocated  to  R &D is over i.e  the patent(which is one of the most via way to recover their funds only last for one year so investing more resource on the product will lead to more  loss for the company instead of a gain

Answer:

B(2)

Step-by-step explanation:

it's in two way factorial design there can be a maximum of two interactions in one main effect

There are 2 sources of variation in a two - way ANOVA with interaction.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A two-way ANOVA with interaction.

Now,

Here, A two-way ANOVA with interaction.

We know that;

Two-way ANOVA include two factors, each with two or more levels (groups), and collectively, factors are often referred to as the main effects in these types of ANOVA. The other source of variation in a two-way ANOVA is the interaction between the two factors.

Thus, Number of sources of variation = 2

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

,

Answer:

B. The y- axis

Step-by-step explanation:

If you look at a 4 quadrant graph you can see the line of the reflection

Answer: (0,-10)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

You can multiply ANYTHING. Just make sure that when you multiply, you change the exponents properly. Combining like terms is basically like normal addition. For example, you cannot add 6x +3y because they have different variables. If it was 3x+6x, then you can add it because they are like terms.

Hope this helps! Comment if you have any questions!

Answer:

F(x) = 44

Step-by-step explanation:

f(x) = 6x - 4

x = 8

f(x) = 6(8) - 4

f(x) =  48 - 4

Answer:

Step-by-step explanation:

f(8) = 6(8) - 4= 48 - 4 = 44

Hey there! I'm happy to help!

First let's combine all of the terms with a.

2a+2a=4a

Now the ones with b.

3b-b=2b

And the ones with c.

-4c+2c=-2c

So, our simplified expression is 4a+2b-2c.

Have a wonderful day! :D

Answer:

8/9 is the correct answer for you problem

1 by 3 + 5 by 9 is equal to 8 by 9 this is your answer thank you

Answer:

(x-6)(x+6) pairs with x^2-36

9x^2-1 pairs with (3x-1)(3x+1)

4(x+2)(x-2) pairs with 4x^2-16

Step-by-step explanation:

If you're using PLATO this is the correct answer I just did the problem myself

I'll even explain below and drop the image screenshot

The equation x2 − 36 can be factored into (x − 6)(x + 6) using the difference of two squares.

The equation 9x2 − 1 is the difference of two squares, (3x)2 – 12, so it factors into (3x − 1)(3x + 1).

We can factor 4 out of the expression 4x2 − 16 to get 4(x + 2)(x − 2).

The pairs are:

A binomial is an algebraic expression with two terms. as an example, a + b, x - y, etc are binomials. We have a hard and fast of algebraic identities to locate the expansion when a binomial is raised to exponents 2 and three.

There are 3 major types of algebraic expressions which encompass: Monomial Expression, Binomial Expression, and Polynomial Expression.

Learn more about the expression here:

brainly.com/question/723406

#SPJ2

Answer:

[tex] \boxed{\sf {(3+\sqrt{2})}^2 = 11 + 6 \sqrt{2} } [/tex]

Step-by-step explanation:

[tex] \sf \implies {(3 + \sqrt{2} )}^{2} \\ \\ \sf \implies (3 + \sqrt{2} )(3 + \sqrt{2} ) \\ \\ \sf \implies 3(3 + \sqrt{2} ) + \sqrt{2} (3 + \sqrt{2} ) \\ \\ \sf \implies (3 \times 3) + (3 \times \sqrt{2} ) + ( \sqrt{2} \times 3) + ( \sqrt{2} \times \sqrt{2} ) \\ \\ \sf \implies 9 + 3 \sqrt{2} + 3 \sqrt{2} + 2 \\ \\ \sf \implies 9 + 6 \sqrt{2} + 2 \\ \\ \sf \implies 11 + 6 \sqrt{2} [/tex]

Answer:

Exact Form:

[tex]11 +6\sqrt{2}[/tex]

Decimal Form:

19.48528137…

Step-by-step explanation:

Rewrite [tex](3+\sqrt{2} )^2[/tex] as [tex](3+\sqrt{2} )+(3+\sqrt{2} )[/tex]

Expand [tex](3+\sqrt{2} )+(3+\sqrt{2} )[/tex] using the FOIL method.

Apply the distributive property.

    [tex]3(3+\sqrt{2} )+\sqrt{2} (3+\sqrt{2} )[/tex]

    [tex]3*3 +3+\sqrt{2} +\sqrt{2} (3+\sqrt{2} )[/tex]

    [tex]3*3 +3\sqrt{2} +\sqrt{2}* 3+\sqrt{2} \sqrt{2}[/tex]

Simplify and combine like terms.

       Simplify each term.

        [tex]9+3\sqrt{2} +3\sqrt{2} +2[/tex]

         Add 9 and 2

         [tex]11+3\sqrt{2} +3\sqrt{2}[/tex]

         Add [tex]3\sqrt{2}[/tex] and [tex]3\sqrt{2}[/tex]

          11+[tex]6\sqrt{2}[/tex]  

The result can be shown in multiple forms.

Exact Form:

 11+[tex]6\sqrt{2}[/tex]  

and

Decimal Form:

19.48528137

....

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Speed(Km/hr)___No of players__Relative freq

10--13.9_________4______4/612 = 0.0065359

14-17.9_________ 7______7/612 = 0.0114379

18-21.9________20_____20/612 = 0.0326797

22-25.9_______ 83_____83/612 = 0.1356209

26-29.9_______319____319/612 =0.5212418

30-33.9______ 179_____179/612 = 0.2924836

The percentage of players that had a top speed between 22 and 25.9 km/h was : 0.1356209 × 100 = 13.56%

c. The percentage of players that had a top speed less than 13.9 km/h was: 0.0065359 × 100 = 0.65%

Answer:

Four and twenty nine thousandths

Step-by-step explanation:

Answer: =2084

4+2(82)(42)+6+4+6+6+6+2+2

=4+264(42)+6+4+6+6+6+2+2

=4+2(64)(16)+6+4+6+6+6+2+2

=4+(2)(1024)+6+4+6+6+6+2+2

=4+2048+6+4+6+6+6+2+2

=2052+6+4+6+6+6+2+2

=2058+4+6+6+6+2+2

=2062+6+6+6+2+2

=2068+6+6+2+2

=2074+6+2+2

=2080+2+2

=2082+2

=2084

Answer: 2048 please mark as brainliest

Step-by-step explanation:

4+2(82)(42)+6+4+6+6+6+2+2

=4+264(42)+6+4+6+6+6+2+2

=4+2(64)(16)+6+4+6+6+6+2+2

=4+(2)(1024)+6+4+6+6+6+2+2

=4+2048+6+4+6+6+6+2+2

=2052+6+4+6+6+6+2+2

=2058+4+6+6+6+2+2

=2062+6+6+6+2+2

=2068+6+6+2+2

=2074+6+2+2

=2080+2+2

=2082+2

=2084

Answer:

56x = -152

Step-by-step explanation:

8(4+7x) + 6(-1 + 8)  = -78

32 + 56x - 6 + 48 = -78  

32 + 48 - 6

74 + 56x = -78

-74             -74

56x = -152

Answer:

a) FKR and F'KR form supplementary angles

b) FK = F'K

   EF = E'F'

(They are reflected by mirror)

Answer:

$96 is the original price of  book

Step-by-step explanation:

keep the unknown value as X

(19.2/X)*100 = 20%

19.2/X = 0.2

19.2/0.2 = X

X = 96

The original price of the book is $24.

When there is a sales, the price of items become cheaper. Items become less expensive when there is a sale.

When there is a 20% reduction in the price of the book, the book becomes 80% (100 - 20%) cheaper. In order to determine the original price of the book, divide the sales price by 80%

Original price = $19.20 / 80%

= $19.20 / 0.8

= $24

To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308

Glad I can help you!!

Answer:

Definition: The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis.

The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is "a + b = b + a"; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is "ab = ba"; in numbers, this means 2×3 = 3×2.

If satisfied please leave a review and feel free to give me brainiest.

The correct answer is 60%

Explanation:

A percentage represents a proportion of a total or 100% by using a number from 1 to 100. In this context, the first step is to count how many squares there are and how many were painted. This leads to the following results:

40 squares in total

24 painted squares

Knowing these two details it is possible to calculate the percentage. Follow this process:

- Write the values

40 squares = 100 % or total

24 squares = x (the value that needs to be found)

- Cross multiply to create an equation and solve this equation

40 x = 2400

x = 2400 ÷ 40

x = 60

The percentage that was painted was 60%

Answer:

The answer is rational.

Step-by-step explanation:

It won' be irrational.

4.125 and 3 are rational.

Answer: The sum is a non-repeating

Step-by-step explanation:

Answer:

[tex]x=\frac{23}{6}[/tex] or [tex]4.6[/tex]

Step-by-step explanation:

[tex]3x + 2x + 7 = 10x - 16[/tex]

[tex]5x+7=10x-16[/tex]

Subtract 7 from both sides:

[tex]5x+7-7=10x-16-7\\5x=10x-23[/tex]

Subtract 10x from both sides:

[tex]5x-10x=10x-23-10x\\-5x=-23[/tex]

Divide both sides by -5:

[tex]\frac{-5x}{-5}=\frac{-23}{-5}\\x=\frac{23}{5}[/tex] or [tex]4.6[/tex]

Answer:

1.80821918

Hope it helps yuh