45°
V7
45°
Х
find the length of side x in simplest radical form with a rational denominator

Answer:

104 gallons

Step-by-step explanation:

320/31=10.323 miles per gallon

1070/10.323=103.66 <---round to whole number

104 gallons needed

Here's the formula:

y - y1 = m(x - x1)

Substitute numbers accordingly:

y1: so 1 goes in the y1 spot (you switch the signs because it was already negative)

x1:  and 10 goes to the x1 spot

m:  -3 belongs in m

Answer:

30

Step-by-step explanation:

It is easier if you do 5 six times for example

5, 10, 15, 20, 25, 30

Hope this helps ;)

Part A: 5 out 25 lobsters have dangerous levels of mercury

Part B: the 95% confidence interval is given by (4.45, 5.65)

since everything is given all I had to do is find the critical value which can be found from the resource packet = 2.064

Using the formula we find 5.05+-2.064*1.45/5 = ( 4.45,5.65)

For this case, we have 95% of confidence that the true mean for the average number of lobsters with dangerous levels of mercury is between 4.45,5.65

Answer:

Volume  6082.12338 cm3

Step-by-step explanation:

Answer:

50 meters

Step-by-step explanation:

the island is 50 meters away

Answer:

About 54 meters or 53.8 meters

Step-by-step explanation:

Pythagorean theorem a^2+b^2=c^2

20^2+50^2=53.8^2

The number of laps per minute is given by equation A = 2/3 laps per minute

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It displays the similarity of the connections between the phrases on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.

Given data ,

Let the number of laps per minute be represented as A

Now , the value of A is

The total number of laps = 10 laps

The total time for 10 laps = 15 minutes

So , the number of laps per minute = number of laps / total time for 10 laps

On simplifying the equation , we get

The number of laps per minute A = 10 / 15

The number of laps per minute A = 2/3 laps per minute

Hence , the number of laps per minute is ( 2/3 ) laps

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9514 1404 393

Answer:

  $6,797.09

Step-by-step explanation:

The area of the floor is ...

  (21 ft)(28 ft) = 588 ft²

Then the cost of the carpet material is ...

  (588 ft²)($10.45/ft²) = $6,144.60

The subtotal with installation fee is ...

  $6,144.60 +149.00 = $6,293.60

Adding the sales tax multiplies this amount by 1 +8% = 1.08, so the final price is ...

  1.08 × $6,293.60 = $6,797.09 . . . total price

Answer:

what you should be asking is what the color of the balls are and if their juicy

Answer:

r=1.5

Step-by-step explanation:

4r+17=23 *Subtract 17 from each side

4r=6 *Divide both sides by 4

r=1.5

Answer:

Step-by-step explanation:

2+2=4

Answer:

Venus is often named as Earth's twin because both worlds share a similar size, surface composition and have an atmosphere with a complex weather system. ... Both planets have almost the same size and density and Venus is only a 30% closer to the Sun than Earth.

Step-by-step explanation:

kxkcxn jxn. jxk. kx. xnx xn n nxnksj dxcnxc. x jxnn.

The description of what each ordered pair means is; as described below

The table is missing but from online sources, we can say the following;

An ordered pair such as (2,4), is a short form of writing two variables, such as x = 2 and y = 4. The order of the numbers in the pair is important because x always comes before y.

An ordered pair is simply a composition of the x coordinate called abscissa while the y coordinate is called the ordinate.

Thus, the Ordered Pair is (x,y)

Where,

x is the distance measure of a point from the primary axis "x"

y is the distance measure of a point from the secondary axis "y"

In the Cartesian plane, the point where the two lines meet at “0” is the origin.

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Answer:

0.0025 = 0.25% probability that both are defective

Step-by-step explanation:

For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

5 percent of these are defective.

This means that [tex]p = 0.05[/tex]

If two items are randomly selected as they come off the production line, what is the probability that both are defective

This is P(X = 2) when n = 2. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025[/tex]

0.0025 = 0.25% probability that both are defective

Step-by-step explanation:

use the pythagorean theorem to find the length of the leg in the triangle below

Answer:

angle 1 and angle 3

Answer:

Option 1: negative infinity to infinity

Step-by-step explanation:

negative infinity to infinity

Answer:

Its A

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

I think he can do 12 outfits.

Step-by-step explanation:

I hope this helps. Sorry if I am wrong, I am not the greatest at math.

The different outfits that Alphonsus can put together with his new clothes will be 12.

Given is that Alphonsus who went for shopping for new school clothes. He bought 4 t - shirts and 3 pairs of pants.

Assume that the different outfits that Alphonsus can put together with his new clothes be [x].

[x] = 4 x 3 = 12

[x] = 12

Therefore, the different outfits that Alphonsus can put together with his new clothes will be 12.

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Answer:

The equation of a line passing through points [tex](x_1,y_1)[/tex]and [tex](y_1,y_2)[/tex] is given by:

[tex]y-y_1 = \frac{(y_2-y_1)}{x_2-x_1}(x-x_1)[/tex]

According to question, the passing points of the line are (1,1) and (3,-3). So, its equation is given by:

[tex]y-1 = \frac{-3-1}{3-1} (x-1) \\or, y-1 = \frac{-4}{2}(x-1)\\or, 2y-2 = -4x+4\\or, 4x + 2y = 2+4\\or, 4x+2y = 6\\or, 2x+y = 3 is the required equation.[/tex]

Answer:

hello your question is incomplete attached below is a the complete question

answer : n = 5

Step-by-step explanation:

lets consider N to be 5

To prove that the least number 'n' = 5

we will represent this information in a graph as vertex

Black edge = Friends

Blue edge = not Friends

From the attached diagram any  vertex contains 0,1,2,3,4 black lines and 4,3,2,1,0 blue lines

attached below is an explanation related to the choice of n = 5

considering n = 5 is satisfied by the explanation given

Answer:

Step-by-step explanation:

Taking the determinant of the matrices we will have;

= 4x(5y) - 2x(3y)

= 20xy - 6xy

= 14xy

Given x = -2 and y = 3

Determinant = 14(-2)(3)

Determinant = -28*3

Determinant = -84

Answer:

The sides of all the shapes are straight

Step-by-step explanation:

Pedro animal has the shape of a horse. The animal is made up of different shapes, we can see that the shapes Pedro animal is made up of consist of two triangles, three rectangles and a hexagon.

All this shapes mentioned above (triangle, rectangle and hexagon) that are used in making this animal have sides with straight edges. Therefore the sides of all the shapes are straight.

Answer:

i say b.

Step-by-step explanation:

Answer:

I say d

Step-by-step explanation:

It seems most correct, 4 fails and one correct, the fifth try

Answer: 40%

Step-by-step explanation:

170+255=425 total guests

170/425=0.4

Answer:

Step-by-step explanation:

Diagonals of the parallelogram bisect each other

Note. The first question is repeated as A and B

A) KR = 1/2KM

Substitute and solve for x:

Find JR

B)

Interior angles of the triangle sum to 180°: