What is the value of the expression All of 2.6 multiplied by 10 to the power 9 over all of 1.3 multiplied by 10 to the power 2? 1.3 × 107 2.0 × 107 1.3 × 1011 2.0 × 1011

Answer:

1) 244.92cm  2) 188.68 km  3) 3m

Step-by-step explanation:

1) We are finding the circumference of the basketball in this situation. C=pi(d), d=diameter, C=circumference. So, C= 3.14(78), and finally C= 244.92 cm.

2) We can begin to approach this problem by finding how far each car has traveled over 2 hours. The car heading north is going 50 km/h, so for two hours it has covered 100 kilometers. The car going west is at 80 km/h, so for two hours it has covered 160 kilometers. Now, we could draw this as a right triangle, with one leg being the north-headed car 100 km away from the start, and the other leg being the west moving car 160 km away from the start. The hypotenuse represents the distance between them. Now we use the pythagorean theorem! north car is a, west car is b. a^2+b^2=c^2. 100^2+160^2=c^2. 35600=c^2. take the square root of both sides for c=188.68. The distance between the two cars is approx 188.68 km.

3) `This situation can be represented as a right triangle. The height of the tree, 4m, is the height of the triangle, and the wire, 5m, is the hypotenuse. We are trying to find one of the legs, which represents the ground to the base of the tree. In the pythagorean theorem, we have a^2 and c^2, and just need to find b^2. Let's plug it into the equation:

4^2+b^2=5^2

16+b^2= 25

b^2=9

b=3

hope this helped it took a long time to explain it all! :)

Answer:

P(X and Y) =0.2, P(X or Y)=0.7

Step-by-step explanation:

P(X or Y)

P(X∪Y) = P(X)+P(Y) - P(X∩Y)

=  0.5 + 0.4 - 0.2

=  0.7

or 1-P(Y|X)=1-0.3=0.7

P(X and Y)

P(X∩Y) = P(X) × P(Y)

=  0.5 × 0.4

=  0.2

I hope it helps

Hey there! :)

Answer:

B, they are the same line.

Step-by-step explanation:

Begin by converting each equation to slope-intercept form to make it easier to see the relationship:

-3x - 4y = 1

-4y = 3x + 1

y = -3/4x - 1/4

-------------------

-6x - 8y = 2

-8y = 6x + 2

y = -3/4x - 1/4

The lines are the same. Therefore, B is the correct choice.

Answer:

a shaded region below a dashed boundary line

Step-by-step explanation:

this inequality uses the "less than" symbol (<), so we will use a dashed line because we are not including the values on the line

plug in (0,0) to see if we are shading above or below the line

0 < -1/2(0) + 5

0 < 5

this is true, so we will shade in the side that the point (0,0) is located, which is below the line (we know this because the inequality has a y intercept of 5)

Answer:

A

Step-by-step explanation:

The owner owes more than the house is worth

Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Use FOIL method

3x(5x) + 3x(- 2) + 3(5x) + 3(- 2)

Simplify to get 15 x^{2} -6x+15x-6  

Combine like terms to get 15x^2+9x-6

quadratic funcntion

quadratic term: 15x^2  

linear term: 9x

constant: -6

(sorry this was late I had other work and I didn't see this until now)

please mark me brainliest!

Answer:

18 : 3

Step-by-step explanation:

Basic proportionality question. All we need to here is to expression the given fractions ( [tex]11 \frac{2}{3}[/tex], and [tex]1 \frac{17}{18}[/tex] ) as a fraction itself, and hence expressing the ratio we need to get, in fraction form.

[tex]11 \frac{2}{3} / 1 \frac{17}{18}\\\\[/tex] - So, we have expressed this in a fraction, which we want to reduce

[tex]= \frac{35}{3} / \frac{35}{18}[/tex] - The fractions have been taken as improper fractions

[tex]\\\\= \frac{35}{3}( \frac{18}{35} )\\ \\[/tex] - Now we took the inverse fraction, through multiplication

[tex]= 18 / 3[/tex] - 35 and 35 cancel out, leaving us with the simplified fraction 18 / 3

_____

So now we have 18 / 3, the ratio in fraction form. The scale is thus 18 to 3, or in other words 18 : 3.

Hope that helps!

Answer:

1.5km/hr.

Step-by-step explanation:

jill is walking 1 km/hr. and meets in 2 hours. so jill crossed 2 km in 2 hours. so joe has to (5-2) or 3 km and he walked 3 km on 2 hours as the question. that means joe was walking 3/2 km/hr or 1.5 km/hour

Answer:

2<x<8

Step-by-step explanation:

-8>-5x+2>-38

first part : -5x>-38-2

-5x>-40 when divide by negative number flip the sign

x<-40/-5

x<8

second part : -8>-5x+2

-8-2>-5x

x>-10/-5

x>2

2<x<8

2<x<8

Answer:

C. 60°

Step-by-step explanation:

Add the two given angles and subtract from 180°

Answer:

C.  60

Step-by-step explanation:

The total degrees in a triangle is 180.  Add up the given angles measures and subtract from 180 to find x.

52 + 68 + x = 180

120 + x = 180

x = 60

Answer: 13 people (I think)

Step-by-step explanation:

I didn't use a set equation to solve the problem, but I added 1+2+3+4... (and so on) until I got a number that was over 100. When I got to 14, the number reached 105, meaning that 13 people were able to get the number of chocolates that they desired. The fourteenth person was short 5 chocolates.

Please feel free to ask me any further questions you have! Have a wonderful day!

Answer:

(0, - 2)

Step-by-step explanation:

The y-intercept of the rational function is (0, −2).

Since [tex] \frac{dy}{dx}=-3-4x[/tex], putting $x=0$ gives us the gradient of the tangent at the point where the curve cuts the Y axis.

Thus $\frac{dy}{dx}=-3$

Answer:

Since , putting $x=0$ gives us the gradient of the tangent at the point where the curve cuts the Y axis.

Thus $\frac{dy}{dx}=-3$

Step-by-step explanation:

Answer: A

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

A and B are the legs of the triangle, and c is the hypotenuse. A would make the most sense.

The sum of the squares of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse.

" In a right angled triangle the square of the hypotenuse is equals to the sum of the square of the other two sides of the right angled triangle."

According to the question,

As per the Pythagoras theorem ,

(Hypotenuse)² = (Adjacent side)² + ( opposite side)²

Hence, we conclude that Option A is correct.

Learn more about Pythagoras theorem here

https://brainly.com/question/23936129

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Answer:

no

Step-by-step explanation:

Answer: B) No

Step-by-step explanation:

When you dive 9 by 3 you get 3.

When you divide 7.3 by 2.2 you get 3.318181818...

Rewrite the product as

[tex]13^4\cdot 17^2\cdot29^3 = (10+3)^4 (10+7)^2 (20+9)^3[/tex]

Powers of 10 and multiples of 10 don't contribute to the units digits, so we only need to consider the product

[tex]3^4\cdot7^2\cdot9^3=81\cdot49\cdot729[/tex]

and we can treat this the same way:

[tex]81\cdot49\cdot729=(80+1)(40+9)(720+9)[/tex]

Again, ignore the multiples of 10 to reduce this to the product 1*9*9 = 81, whose units digit is 1.

Answer:

I think it is 7

Step-by-step explanation:

Answer:

Step-by-step explanation

You solve with math

The statement "Solving absolute value inequalities requires solving compound inequalities" is False.

Absolute value inequalities and compound inequalities are two different types of inequalities, and solving them involves different methods. Here's a brief explanation:

Absolute value inequalities: An absolute value inequality involves an expression enclosed within absolute value symbols [tex](| |)[/tex].

To solve such an inequality, follow these steps:

Compound inequalities: A compound inequality consists of two or more inequalities joined by the logical operators "and" or "or."

To solve a compound inequality, follow these steps:

Therefore, solving absolute value inequalities does not require solving compound inequalities. These are distinct concepts in mathematics.

Learn more about compound inequalities here:

https://brainly.com/question/27031048

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Answer:

The slope is -1/2 and the y intercept is 1/4

Step-by-step explanation:

y=-1/2x + 1/4

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is -1/2 and the y intercept is 1/4

it would be D

So yeah.....

Answer:

D, $200

Step-by-step explanation:

100% of 200 is 200

25% of 200 is 50

125% od 200 is 250

Answer:

Length is 12 and width is (x+4) means 16

Step-by-step explanation:

Given:

Area of cookie sheet = 192 in²

Area = x² + 4x

Computation:

x² + 4x = 192

x(x + 4) = 192  , The length is x and width is (x+4)

x² + 4x -192 = 0

x² + (16 + 12)x -192 = 0

x² + 16x + 12x -192 = 0

x(x + 16) - 12(x + 16)

(x + 16)(x - 12)

Because length can not be negative (-16) so,

Length is 12 and width is (x+4) means 16

Answer:

The number of path we can take to walk from A to B via a 7 unit path while staying on the grid is 35 paths

Step-by-step explanation:

Given that we are to walk via a 7 unit path, we have;

Path to walk = Right or Left from start point A

Total number of rights and left to get to point B from A must be= 7

Left direction=3 turns

Right direction=4 turns

Number of ways for the first turn = 7, the next turn has 6 ways after that 5, then 4 next, 3 next, 2 next and 1

7 × 6 × 5 × 4 × 3 × 2 × 1 out of which

four are in the right direction in 4 × 3 × 2 × 1 ways and

3 are in the left direction in 3 × 2 × 1 ways,

Number of ways=7! / 4!3!

=7*6*5*4*3*2*1 / 4*3*2*1*3*2*1

=5040/144

=35

Answer: The number of different ways (orders) she can add these fruits to her blender = 24

Step-by-step explanation:

Given, Ella makes a smoothie for breakfast every morning. Today, she wants to use melon, apple, orange, and peach.

i.e. Total fruits = 4

The number of ways to order n things = n!

Therefore, the number of different ways (orders) she can add these fruits to her blender = 4!

= 4 x 3 x 2 x 1

= 24

Hence, the number of different ways (orders) she can add these fruits to her blender = 24

Answer:

the correct answere is actully 120 ways.

Step-by-step explanation:

Answer:

The value of x in this equation is 12.

Step-by-step explanation:

4x - 20 = 2x + 4

Subtract 2x from 4x because they are like terms. Both terms have a variable of x attached to them.

2x - 20 = 4

Add 20 to 4 because they are also like terms.

2x = 24

Divide 2 on both sides of the equation so we can get x by itself and see what x is equals to.

x = 12

So, the value of x in this equation is 12.

Answer:

x = 12

Step-by-step explanation:

4x - 20 = 2x + 4

4x - 2x = 4 + 20

2x = 24

x = 24/2

x = 12

Step-by-step explanation:

[tex] \sqrt[3]{8} = 2 \\ \sqrt{9} = 3[/tex]

so between 2 and 3

you can say:

2.1

2.2

2.3

2.4

2.5

2.6

2.7

2.8

2.9

2.22

2.1875838

2.7583883

Answer:

x ≥ $17, 500

Step-by-step explanation:

To find the cost of the next year model, we will follow the steps below;

Let x be the value of next year's model

$14000 ≤ 80% of  x

80% of  x ≥  $14000

80% × x ≥$14000

80x/100    ≥  $14000

multiply both-side of the equation by 100

80x ≥  $1400000

Divide both-side of the inequality by 80

80x /80 ≥ $1400000 / 80

x ≥ $17, 500

Therefore the cost of next year's model is

x≥$17, 500

Answer: 200 in

Step-by-step explanation:

Try to split up the face into pieces. You can make the first piece the square on the top. Only, you don't know the value of the bottom side, but you can see that it is 10 (if you look at the top at the back). So, if you do your multiplication, 10 x 10 = 100. So, that is the area of the first square. The next square also has a width and height of 10, (10 on the bottom, and follow the side to the other 10). Do the multiplication again (same as above) and get 100. Now that you have the area of the two pieces, you add then together: 100+100=200

Please feel free to let me know if you have any questions!

Answer: The yellow face has an area of 200 in^2

Step-by-step explanation:

The height of each of the two square areas is 10 in. The width is 10. A=w × h

10 × 10 = 100. Times 2 for the total for the yellow face.

Don't be confused by the 5-inch offset.

Answer:

  see the attachment

Step-by-step explanation:

We assume that the question is interested in the probability that a randomly chosen class is a Friday class with a lab experiment (2/15). That is somewhat different from the probability that a lab experiment is conducted on a Friday (2/3).

Based on our assumption, we want to create a simulation that includes a 1/5 chance of the day being a Friday, along with a 2/3 chance that the class has a lab experiment on whatever day it is.

That simulation can consist of choosing 1 of 5 differently-colored marbles, and rolling a 6-sided die with 2/3 of the numbers being designated as representing a lab-experiment day. (The marble must be replaced and the marbles stirred for the next trial.) For our purpose, we can designate the yellow marble as "Friday", and numbers greater than 2 as "lab-experiment".

The simulation of 70 different choices of a random class is shown in the attachment.

_____

Comment on the question

IMO, the use of 70 trials is coincidentally the same number as the first 70 days of school. The calendar is deterministic, so there will be exactly 14 Fridays in that period. If, in 70 draws, you get 16 yellow marbles, you cannot say, "the probability of a Friday is 16/70." You need to be very careful to properly state the question you're trying to answer.

Answer:

D,

Method:              

Roll, pick, and replace a marble 70 times      

Count number of times...

Roll Greater than 2 AND pick a yellow marble

Step-by-step explanation:

Well first of all, I wouldn't leech, and second of all, this is a game of trust.

lol

jk

I know this is correct due to probability calculations,

You know there is a 1/5 probability chance of getting a yellow marble, and there are 5 days that the school goes off of.

You also know that you can get 3, 4, 5, or 6 on the dice (as long as it is fair) and that would be 4/6 of a chance or 2/3.

The experiments are on 2/3 of the 70 days, and there are 5 school days per week.

Kinda of a no-brainer if you understand how this kinda works.

Hope this helps!

Hopefully this explains this question where you can understand!

Answer:

x = 34°

Step-by-step explanation:

As you can see, in your pic there is a straight angle which is equal to 180°

Therefore, all the 3 angles combined will be equal to 180°