Suppose x, y, and z are all rational numbers. Is LaTeX: \frac{z}{\sqrt{x^2-y^2}}z x 2 − y 2 a rational number? Explain your answer.

Answer:

False

Step-by-step explanation:

Multiplying the numerator and the denominator by a number is basically multiplying the equation by 1, meaning that it won't change the value.

Keeping that in mind, 6/8 can be reduced to 3/4 by multiplying the top and bottom by 1/2, meaning they are equal.

To actually multiply a fraction to make it 2 times itself, you only multiply the numerator(top), not the denominator(bottom).

Answer:

False

Step-by-step explanation:

Answer:

1/3 ÷ 5 = 1/3 x 1/5 (the reciprocal of 5)  or 1/15 cup to make a single dinner roll

Step-by-step explanation:

Answer: 6.1e-17

Step-by-step explanation:

the evaluated expression in scientific notation is 6.1 × 10⁻⁵.

To evaluate and express the answer in scientific notation, we can simplify the expression and adjust the decimal point and exponent accordingly.

2.44 × 10⁻¹⁰ ÷ 4 × 10⁻⁶

First, divide 2.44 by 4, which gives us 0.61.

Next, subtract the exponents by applying the division rule for exponents:

10⁻¹⁰ ÷ 10⁻⁶ = 10⁽⁻¹⁰⁻⁽⁻⁶⁾⁾ = 10⁽⁻¹⁰⁺⁶⁾ = 10⁻⁴

Therefore, the simplified expression is 0.61 × 10⁻⁴.

To express the answer in scientific notation, we can move the decimal point one place to the right, resulting in 6.1 × 10⁻⁵.

Hence, the evaluated expression in scientific notation is 6.1 × 10⁻⁵.

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Answer:

q=3.4

Step-by-step explanation:

-13q+-52=7q+16

-52=20q+16

-68=20q

-68/20 is -3.4

Answer:

59

Step-by-step explanation:   x=number of hours

150+7.50x=595

7.50x=595-150

7.50x/7.50=445/7.50

x=59

Answer:

A

Step-by-step explanation:

The path along XY is longer than the path along ZY. and the path along ZY is longer than the path along AB.

Trigonometry is a branch of mathematics concerned with the relationships between the sides and angles of triangles, as well as the calculations that are based on them.

It's widely used in fields like physics, engineering, and navigation. The sine, cosine, and tangent functions are the three primary trigonometric functions that relate the ratios of a right triangle's sides to its angles.

Now, the two sides making an angle Ф in a triangle will be having the fixed lengths then the length of the third side is proportional to the angle Ф.

Since the opposite angle of XY(79°) is larger than that of YZ(65°), so XY > YZ.

Again the opposite angle of YZ(65°) is larger than that of AB(36°), so YZ > AB.

Since the sides containing those angle are same and they are 8 ft

Therefore, statement A. is correct.

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Your question seems incomplete, the probable complete question is:

He creates paths through the garden along A3, XY, and ZY. Which correctly compares the lengths of the paths? The path along XY is longer than the path along ZY. and the path along ZY is longer than the path along AB. O The path along AB is longer than the path along ZY, and the path along ZY is longer than the path along XY. The path along ZY is longer than the path along XY. and the path along XY is longer than the path along AB The path along ZY is longer than the path along AB and the path along AB is longer than the path along XY​

Answer:

not a function

Step-by-step explanation:

Since the x value of 2  goes to two different y values of 5 and 4, this cannot be a function

Answer:

[tex]\triangle ABC \cong \triangle DCB[/tex] by AAS

Step-by-step explanation:

According to the following two triangles, [tex]\triangle ABC[/tex] and [tex]\triangle DCB[/tex] are congruent by Angle-Angle-Side (AAS), because there are two angles shown and share a side, which is in the middle between triangles.

Answer:

3/8

Step-by-step explanation:

An estate has to be divided among the 5 persons.

Given that the 1st person received 1/8 of the estate,

the 2nd person received 1/5 of the estate,

the 3rd person received 1/5 of the estate,

and the 4th person received 1/10 of the estate.

Let the 5th person received the x part of the estate.

The sum of all the fractional parts of one estate equals to 1, so

[tex]\frac 1 8+\frac 1 5+\frac 1 5+\frac 1 {10}+x=1[/tex]

[tex]\Rightarrow \frac 5 8 +x =1[/tex]

[tex]\Rightarrow x =1-\frac 5 8 =\frac 3 8.[/tex]

Hence, the last person received 3/8  of the estate.

Answer:

Multiply the numerator by the reciprocal of the denominator to get 650 x 2 divided by 3. Then, multiple 650 and 2 which is 1300, then it is 1300 over 3, or 433.3, and it is repeating.

Step-by-step explanation:

By the concept of division by a fraction, 650 divided by 3/2 will result in [tex]433 \frac{1}{3}[/tex].

We have to solve 650 divided by 3/2.

Mathematically, it can be expressed as:

650 ÷ [tex]\frac{3}{2}[/tex]   -----(1)

To solve the above expression, at first we can apply the concept of dividing by a fraction. Which say that:

dividing by a fraction =  multiplying by the reciprocal of the fraction

And the reciprocal of any fraction is simply the ratio of denominator and numerator.

So, the reciprocal of  [tex]\frac{3}{2}[/tex]  is [tex]\frac{2}{3}[/tex] .

Then, expression (1) will be equivalent to

[tex]650 \div \frac{3}{2} = 650 \times \frac{2}{3}[/tex]  ------(2)

That means we have to multiply 650 and fraction 2/3.

To get the multiplication of two fractions, we multiply the numerators together and the denominators together.

[tex]650 \times \frac{2}{3} = \frac{650\times 2}{3}[/tex]

[tex]650 \times \frac{2}{3} = \frac{1300}{3}[/tex]

[tex]650 \times \frac{2}{3} = \frac{1300}{3}[/tex]

[tex]650 \times \frac{2}{3} = 433 \frac{1}{3}[/tex]

Thus, from equation (2)  

[tex]650 \div \frac{3}{2} = 433 \frac{1}{3}[/tex]

Hence, 650 divided by 3/2 is:

[tex]650 \div \frac{3}{2} = 433 \frac{1}{3}[/tex]

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Answer:

I cant see the equation that well, but i got 5/16

Step-by-step explanation:

Hope this helps!

Answer:

I got C) 1 and 1/4

Step-by-step explanation:

-0.5 + 0.75 = 0.25

1/5 = 0.20

0.25 divided by 0.20 would be over 1 because a fraction divided by another fraction brings the number while a whole number divided by a fraction would bring the number down.

0.25 divided by 0.20 = 1.25

Answer:

the third graph

Step-by-step explanation:

2x<6/÷2 we get x<3

3x+2>-4

3x>-4-2

3x>-6/÷3

x>-2

Answer:

Basically how inequalities work is that they restrict equations into certain parts of graphs. So the answer would be C.

Step-by-step explanation:

You can do normal division on inequalities so you can do 2x<6 and then divide both sides by 2 to get the unit value of x. You get x<3

When something is < or >, the inequality graph will be an open circle.

When something is ≥ or ≤, the sign is a closed circle which basically means a filled in circle. Since both inequalities have the > or < sign, you know that both graphs have to have open circles, which basically mean a circle where you can see the center as a different color. It will be a circle like an o.

You now know that it is either A or C, but how to know which one?

You can simplify the inequalities as you know from before that 2x<6 is equal to x<3 so you can graph that on a number line. X is less than three, so the line should run away from three down to 0 and the infinity of negative numbers. C is the only answer that fits it. You may wonder though, "Why in C, does the line stop at -2 with another open circle?" That is because are two inequalities.

The first is x<3

but the other is 2x+2>-4

You can simplify that by subtracting 2 from both sides to get 2x isolated on the left side. You get 2x>-6.

Now you can divide both sides by 2, as we did previously at the beginning. You get x>-3 from dividing.

Finally you can graph that on the number line, but you know that x is greater than -3, so it should be an open circle starting from -3 heading out to the infinite cosmos of positive numbers.

BUT...

The two inequalities are separated by "and," meaning that they are related  by the fact that they are directly connected. There are two possible words that separate inequalities, "and," and, "or."

In "or" statements, the two inequalities are not related, so the two inequalities would keep on going forever without regard to the other.

In "and" statements, the two inequalities are related, so the two inequalities would depend on each other to end off each other.

SO

Because they are connected with the word And,

They would end off at each other, so the original inequalities would depend on each other to continue, or to end off.

That is why the two inequalities would be a line from anything greater than -2 all the way to all the numbers below 3. The numbers could be anything from -1.999999999999999... forever, as long as they do not equal or go less than -2. The numbers could be anything from 2.99999999... forever, as long as they do not equal or go over 3.

Hope this helps!

Answer:

0.0000765

Step-by-step explanation:

Answer:

153/2000000 i think

Step-by-step explanation:

80 times farther from the Sun is Neptune than Mercury.

Given that, the distance between Mercury and Sun = 35,000,000 miles and the distance between Neptune and Sun = [tex]2.8\times10^9[/tex].

An average distance is the average of the greatest and least distances of a celestial body from its primary.

Now, number of times farther from the Sun is Neptune than Mercury

= [tex]\frac{2.8\times10^9}{3.5\times10^7}[/tex]

=0.8×10²

=80

Time taken for light to reach Neptune = 3×80=240 minutes

=4 hours

Therefore, 80 times farther from the Sun is Neptune than Mercury.

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Answer:

Step-by-step explanation:

[tex]10^{-5}=\frac{1}{10^{5}}=\frac{1}{100000}=0.00001[/tex]

Answer: 0.00001

[tex]10^{-5}[/tex] = [tex]\frac{1}{10^{-5} }[/tex] = 1 over 100,000.

100,000 = 0.00001

Hope this helps you!

Answer:

10^3

Step-by-step explanation:

Answer:

10^3

Step-by-step explanation:

count how many 10s are there and that is the answer

(there are 3 tens so put the power as 3)

To check 10 X 10 X 10 is 1000

10^3 is 1000

Answer:

the correct answer is D.

Answer:

-.25 + 2 keep adding a number to -.25 and youll figure it out, also without the x itll need 8.25 more to equal 10 or more to get past 10.

Step-by-step explanation:

Question:

Select the correct answer.

Which of these graphs represents a function?

Answer:

B. X

Explanation:

D. Z is not the answer

See attachment for math work and answer.

Answer: x=7

Step-by-step explanation:

SORRY

I did as much as I could, Hope I helped!!!

If you want I would really like it If I was brainliest

Answer: There are 27 trees he can plant in one row. There is one pine tree and 2 oak trees in each row

Step-by-step explanation:

5a+4=19 this is the equation to solve for a 5a=19-4

5a=15

a=15÷3

a=3

Answer:

a. A continuous graph

b. a straight line graph with a gentle positive slope

c. The graph consists of three straight lines attached end to end, with the first segment being an inclined positively sloped graph, the second segment is an horizontal line while the third segment is a gentle positively sloped straight line

Step-by-step explanation:

a. A continuous graph

Given that the rain gauge is a digital rain gauge, the values transmitted to the indoor display are those collected by the outdoor sensor, we have that the output to the transmitter can be any value within a possible and finite range of values, therefore the graph is continuous

b. Whereby it rained at a constant rate of 0.1 inch per hour over 24-hour period, we have;

i) Whereby the graph is the level of water in the rain gauge over a given period of time, the shape of the graph will be a straight line graph with a gentle positive slope of 0.1 the domain will be from 0 to 24 hours, while the range will be from 0 to 2.4 inches

c) i) Given that i) the rain falls at a constant rate of 0.1 inch per hour for 6 hours, and ii) over the next 6 hours it stops raining, after which iii) it rained 0.2 inch for the next 12 hours, we have;

i) In the first part The graph will be a straight line graph with a gentle positive slope of 0.1, up to the point (6, 0.6)

ii) When the rain stops for 6 hours, from the point (6, 0.6) to the point (12, 0.12) the graph will be an horizontal line

iii) From the point (12, 0.12) to the point (24, 0.24), is represented on the graph by a straight  line with a gentle positive slope of 0.2.

Answer:

C. 78

Step-by-step explanation:

Add all of them together, then divide by 5 because there are 5 different plants.

Answer: 1/16

Step-by-step explanation:

edge2020

While on vacation in Washington DC, the cab ride for the Dulles airport to the hotel is 15 miles. The total cost of the cab ride was $25.50. The cabbie charges $1.50 per mile for the entire trip A.

Answer:

23

Step-by-step explanation:

7 - 5p + 3a

7 - 5(1) + 3(7)

7 - 5 + 21

2 + 21

23