All categories

3 years ago

Plz answer ASAP will give you five stars

Mathematics

2 answers:

RideAnS [48]3 years ago

6 0

Answer:

x=5

Step-by-step explanation:

x^2= 13^2 - 12^2

x^2=25

X=25

sashaice [31]3 years ago

4 0

Answer:

A X=5

Step-by-step explanation:

You might be interested in

If 5 years ago Nina was twice as old as Sam, how soon from now will she be 1.5 times as old as Sam? If x is Sam's age 5 years ag

gavmur [86]

Answer:

In x - 5 years.

Step-by-step explanation:

5 years ago:

Sam's age: x

Nina's age: 2x

Now:

Sam's age: x + 5

Nina's age: 2x + 5

Let t be the number of years from now that Nina will be 1.5 times Sam's age.

In t years:

Sam's age: x + t + 5

Nina's age: 2x + t + 5

Nina will be 1.5 times Sam's age:

2x + t + 5 = 1.5(x + t + 5)

2x + t + 5 = (3/2)(x + t + 5)

2(2x + t + 5) = 3(x + t + 5)

4x + 2t + 10 = 3x + 3t + 15

4x + 10 = 3x + t + 15

x - 5 = t

t = x - 5

3 0

3 years ago

Solve 2sin2(x) – 5sin(x) – 3 = 0. Let u = sin(x). Which of the following is equivalent to the given equation?

Orlov [11]

Answer:

$x=(-1)^{k+1}\cdot \dfrac{\pi}{6}+\pi k,\ k\in Z$

Step-by-step explanation:

Consider the equation

$2\sin^2x-5\sin x-3=0$

Substitute

$u=\sin x$

into the equation:

$2u^2-5u-3=0$

This is quadratic equation, where

$D=(-5)^2-4\cdot 2\cdot (-3)=25+24=49\\ \\\sqrt{D}=7$

Hence,

$u_1=\dfrac{-(-5)-\sqrt{D}}{2\cdot 2}=\dfrac{5-7}{4}=-\dfrac{1}{2}\\ \\u_2=\dfrac{-(-5)+\sqrt{D}}{2\cdot 2}=\dfrac{5+7}{4}=3$

Now, use the substitution again:

1. When $u_1=-\dfrac{1}{2},$ then

$\sin x=-\dfrac{1}{2}\\ \\x=(-1)^k\sin^{-1}\left(-\dfrac{1}{2}\right)+\pi k,\ k\in Z\\ \\x=(-1)^k\cdot \left(-\dfrac{\pi}{6}\right)+\pi k,\ k\in Z\\ \\x=(-1)^{k+1}\cdot \dfrac{\pi}{6}+\pi k,\ k\in Z$

2. When $u_2=3,$ then

$\sin x=3$

This equation has no solutions, because the range of $\sin x$ is $[-1,1]$ and 3>1.

4 0

4 years ago

Read 2 more answers

A rock falls off a cliff and hits the ground after three seconds. What is its velocity right before it hits the ground? 9.8 m/s

Snezhnost [94]

9.8 m/s

I'm not sure but I think this is the correct answer

6 0

4 years ago

Read 2 more answers

The probability is 51% that the sample mean will be between what two values, symmetrically distributed around the population

Alisiya [41]

Answer:

The lower bound is, $-z=-0.69$ and the upper bound is $z=0.69$ .

Step-by-step explanation:

Let the random variable X follows a normal distribution with mean μ and standard deviation σ.

The the random variable Z, defined as $Z=\frac{X-\mu}{\sigma}$ is standardized random variable also known as a standard normal random variable. The random variable $Z\sim N(0, 1)$ .

The standard normal random variable has a symmetric distribution.

It is provided that $P(-z\leq Z\leq z)=0.51$ .

Determine the upper and lower bound as follows:

$P(-z\leq Z\leq z)=0.51\\P(Z\leq z)-P(Z\leq -z)=0.51\\P(Z\leq z)-[1-P(Z\leq z)]=0.51\\2P(Z\leq z)-1=0.51\\2P(Z\leq z)=1.51\\P(Z\leq z)=0.755$

Use a standard normal table to determine the value of z.

The value of z such that P (Z ≤ z) = 0.755 is 0.69.

The lower bound is, $-z=-0.69$ and the upper bound is $z=0.69$ .

5 0

3 years ago

Which is the graph of the equation y-1=2/3(x-3)?

Lana71 [14]

Answer:

i hope you can see it

Step-by-step explanation:

Use Symbolab I use it all the time it gives correct answer and it gives good explanations (this isn't a sponsor I've just been using it since the 6th grade lol)

6 0

3 years ago