10. If R is the midpoint of QS, find QS.

Answer:

h = 3V/b^2

Step-by-step explanation:

V = 1/3 * b^2 * h

multiply through by 3

3V = b^2 *h

divide both sides by b^2

3V/b^2 = h

Answer:

I do not like pugs.  I think they are quite ridiculous creatures.

Step-by-step explanation:

Answer:

I do like pugs

Step-by-step explanation:

Answer:

y = 4x hope this Helps!

Step-by-step explanation:

y = kx

k = y/x = 60/15 = 4

y = 4x

Answer:

y = 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

y² = product of the segments on the hypotenuse of the large right triangle.

y² = 4 × 16 = 48 ( take square root of both sides )

y = [tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]

Answer:

B- n = 1

Step-by-step explanation:

"For all the positive integers n" is a qualifying statement. The number used has to be positive and also must be an integer. Integers are whole numbers and their opposites, so basically no fractions and no decimals. Answer A is a fraction and C is a decimal and D is negative and a decimal. So they don't work for this problem.

The value is n to show that the first step in a proof by mathematical induction of for all the positive integers is 1.

Thus, option B is correct.

The conditions can be checked through the options.

The option C and D will be eliminated because the condition is for all the positive integers n but n is decimal here.

For n = 1/4, the solution will be in fractions.

So, it does not hold true for n= 1/4.

For n = 1

[tex]\dfrac{n(n + 1)(2n + 1)}{6}[/tex]

 =[tex]\dfrac{1(1 + 1)(2 \times 1 + 1)}{6}[/tex]

= 1

Thus, the value is n  to show that the first step in a proof by mathematical induction of for all the positive integers n is 1.

So, option B is correct.

Learn more about positive integers here:

https://brainly.com/question/26051073

#SPJ4

Answer:

[tex]36p^{2} - 25[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

●Using the identity :-

●(a+b) (a-b) = a^2 - b^2

●Here, a = 6p and b = 5

=> (6p+5) (6p-5)

=> (6p)^2 - (5)^2

=> 36p^2 - 25

Answer:

-x + 1 __________________________

Answer:

-1

Step-by-step explanation:

The slope is the change in y over the change in x. In this graph, the y-value decreases by 1 unit to the right, and the x-value increases by 1 unit. So, this means that the slope is represented as -1/1. This can then be rewritten as -1.

We know that this slope is negative because it decreases to the right. Positive slopes increase to the right.

Answer:

Step-by-step explanation:

  f(g(2)) = f(0) = 0

  g(f(2)) = g(2) = 0

  f(f(2)) = f(2) = 2

  g(g(2)) = g(0) = 4

  (f+g)(4) = f(4) +g(4) = 4 +4 = 8

  (f/g)(2) = f(2)/g(2) = 2/0   ⇒   DNE

_____

To find the value of the function on the graph, locate the x-value on the horizontal axis and work up the vertical line to the curve of interest. Read the value of that point from the vertical scale.

Given :

To Find :

Solution :-

Here we are given two sides of rectangle . We know that the area of rectangle is ,

→ Area = side 1 * side 2

Substituting the respective values ,

→ A = (x-3)(x+5)

→ A = x(x+5) -3(x+5)

→ A = x² + 5x -3x -15

→ A = x² +2x - 15

Hence the area of the rectangle is x² +2x -15.

I hope this helps .

Answer:

The maximum number of tickets Lara could have bought are 10.

Hey there!

1/2

= 1 ÷ 2

= 0.50

≈ 0.5

≈ 50%

Thus, 1/2 is most likely a: terminating decimal

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

24

Step-by-step explanation:

let x be the number of children in the class , then

number of boys = [tex]\frac{1}{4}[/tex] x , so

x = [tex]\frac{1}{4}[/tex] x + 18 ( multiply through by 4 to clear the fraction )

4x = x + 72 ( subtract x from both sides )

3x = 72 ( divide both sides by 3 )

x = 24

There are 24 children in the class

It should be d

Sorry if this is not correct

[] One solution

-> x = 2 + 3

-> 2 + 3 can only equal one thing, 5.

[] Invitinte solutions

-> 3x - 6y = 9

-> This is a linear equation, so it will go on forever. If you graph it you can find the solutions.

-> See attached

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer: her present age is 4

Step-by-step explanation:

Proof: 4+12=16

Square root 4 is 16

Answer:

  4

Step-by-step explanation:

Let x represent her present age. The given relation is ...

  x +12 = x^2

Putting this in standard form, we can factor it:

  x^2 -x -12 = 0

  (x -4)(x +3) = 0

Solutions to this quadratic are x = 4, x = -3. The -3 solution is extraneous in this context.

The girl's present age is 4.

Answer:

16:9

Step-by-step explanation:

Answer:

156°

Step-by-step explanation:

the total internal angle of a triangle in 180°
so,

180 - (85 + 71)
= 24°

this is the internal angle, to find the external angle subtract this value from 180
so,

180 - 24
= 156° (answer)

Answer:

2, 7 remainder is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

53/23 =  [tex]2\frac{7}{23}[/tex] or ≈ [tex]2.3[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

2x + 2y + 7a - y

2x + 1y + 7a Combine like terms

2x + y + 7a Multiply by 1

7a + 2x + y Rearrange terms

7a + 2x + y RESULTS!

HOPE IT HELPS!!!

Answer:

Step-by-step explanation:

m∠A = arctan [tex]\frac{9.6}{7.2}[/tex] ≈ 53°  

Answer:

Step-by-step explanation:

We see that:

For any x₁ and x₂ ∈ N,

It it confirmed one-to-one, hence it is injective

Check the surjectivity:

f(x) = y ∈ N

Let y = 2, then:

Since x is not natural, the function is not surjective

Answer:

This function is injective only.

Step-by-step explanation:

N = natural numbers = positive whole numbers equal to or greater than 1.

Therefore [tex]N \rightarrow N[/tex] means that both the input and output are natural numbers.

A function is surjective if for every element in the codomain, there is at least one element in the domain.

Therefore, this function is NOT surjective.  For example, there is no natural number for x for which f(x) = 2.

A function is injective if for every element in the codomain, there is at most one element in the domain.  This is also called "One-to-One".

Therefore, this function IS injective as there is either none or only one value of x for each value in the codomain.

The mean number of calls for Sami is 2.25 calls per day and for Marta it is 2.5 calls per day

The person who made more calls per day is Marta.

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

Sami = 27 / 12 = 2.25 calls per day

Marta = 45 / 18 = 2.5 calls per day

To learn more about mean, please check: https://brainly.com/question/25842202

[tex] \dashrightarrow \tt8(2.5 – 0.5)[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \tt8(3)[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \tt8 \times 3[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \tt24[/tex]

Answer:

16

Step-by-step explanation:

I think the question is either incorrect or a number is being omitted in the options.

But, lets make do with what we have here so you have an idea of how its been solved.

USING THE ORDER OF OPERATIONS IS BEING FOLLOWED SO THAT EVERYONE CAN ARRIVE AT THE SAME ANSWER.

8(2.5 - 0.5)  = 8 (2)    = 16

Answer:

j = 35 - k

35 = j + k

k = 35 - j

(the 2nd, 3rd, and 4th one)

Answer:

30

Step-by-step explanation:

Answer:

If Lucas reaches into the refrigerator to get a yogurt without looking, there is a 3/5 probability that Lucas will choose a raspberry yogurt.

There is a 3/5 probability that he will choose a red apple if it is the first item he selects.

There is a 9/25 probability that Lucas will eat a raspberry yogurt and a red apple.

Step-by-step explanation:

3/5 x 3/5 = 9/25

Answer:

Step-by-step explanation:

Total of 5 yogurts: 3 raspberry + 1 vanilla + 1 peach

Probability of yogurt being raspberry = 3/5 = 0.6

Total of 5 apples: 2 green + 3 red

Total number of snacks = 10

Probability of choosing a red apple = 3/10 = 0.3

Probability of raspberry yogurt AND red apple = 0.6 x 0.3 = 9/50 = 0.18

Answer:

well the other piece is 75cm that means the whole fabric is 90cm

Answer:

x = (k+10)/6

Step-by-step explanation:

k = 2(3x - 5)

Distribute the 2

k = 6x - 10

Add 10 to each side

k+10 = 6x-10+10

k+10 = 6x

Divide each side by 6

(k+10)/6 = 6x/6

(k+10)/6 = x

Answer:

x = (k + 10) / 6

Step-by-step explanation:

k = 2(3x - 5)

k = 6x - 10

k + 10 = 6x

(k + 10) / 6 = x