Solve the system of equations and choose the correct orderd pair 4x-2y=-2 and 6x+3y=27

A rock is released from rest and freely falls 70 m to the ground. What is its velocity just before impact? A. 1.2 m/s B. 7.0 m/s

Yuri [45]

Answer:

37.04 m/s

Step-by-step explanation:

we can use the equation x = x0 + v0t + 1/2at^2

a = -9.8 m/s^2, the acceleration due to gravity

x0 = 70 m, the starting point of x

v0 = 0 m/s

x = 0

this will allow us to solve for time

0 = 70 + 0 +-4.9t^2

t = 3.779

now we can use the equation v = v0 + at

v = 0 + 9.8(3.77)

v = 37.04 m/s

5 0

3 years ago

If anyone Answer this question with POLITICALLY CORRECT answer I'll give you 25+ Points

Tresset [83]

Answer:

$\sqrt[4]{x^5}$

Step-by-step explanation:

A fraction exponent converts into a radical. The denominator is the index of the radical (farthest left number) and the numerator is the exponent of the base inside (the farthest right number). The base of the fraction exponent is the base number in green. To write this expression, simply the exponents into one exponent and one base.

$x^{\frac{3}{4}}x^{\frac{1}{2} } =x^{\frac{3}{4}}x^{\frac{2}{4} } =x^{\frac{3+2}{4}} =x^{\frac{5}{4}}$

Now convert to the radical.

$x^{\frac{5}{4}} = \sqrt[4]{x^5}$

8 0

3 years ago

Mary owned n sheep and Sam had exactly 4 times as many sheep as Mary.

Veseljchak [2.6K]

Answer:

The least value of n is, 9.

Step-by-step explanation:

Mary(M) owned the number of sheep is n i.e, M = n sheep

Sam(S) had exactly four times as many sheep as Mary , i.e, S = 4 n sheep

As per the given condition Mary buys 17 extra sheep

Now, Mary has total number of sheep, M = n +17 sheep

And Sam sells 8 of his sheep that means he has now,

But, Sam still has more sheep than Mary i.e,

Solve an inequality:

Add 8 both sides we get;

Simplify:

Now, subtract n from both the side, we get;

Simplify:

or

Since n is the number of sheep in integer,

then the least value of n is, 9.

8 0

3 years ago

Read 2 more answers

Which group of three squares will form a right triangle when joined at their vertices?

Ilia_Sergeevich [38]

Answer:

Option ?) 17 cm, 15 cm, 8 cm

The assignment should have four options to choose from, but there is only a picture of two.

Step-by-step explanation:

None of the squares shown form a right triangle. To determine if sides form a right triangle, you use this formula:

a²+b²=c²

We are given two options in the picture.

Option A) 18, 10, and 8.

Option B) 12, 9, and 6.

So, now we need to apply the formula:

Option A)

║8² + 10² = 18²

↓

║64 + 100 = 324

↓

║FALSE

Option B)

║6² + 9² = 12²

↓

║36 + 81 = 144

↓

║FALSE

Both of these options are false. But, I decided to look up this assignment to check my answer. It turns out, there are 4 options, and you only had a picture of two. So, what's the answer?

There is an answer choice that shows 3 squares with the lengths of 17 cm, 15 cm, and 8 cm. This is the correct answer.

For proof, let's apply the formula:

Option ?)

║8² + 15² = 17²

↓

║64 + 225 = 289

↓

║TRUE

[Since the option isn't shown, I'll put a '?' so there is no confusion]

8 0

3 years ago

What is the measure of x and y?

lisov135 [29]

Answer:

x=80 and y=30

Step-by-step explanation:

HOPE THAT HELPS!!!!!!!

7 0

3 years ago