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3 years ago

What is the value of x? Enter your answer in the box. x =

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

4 0

Answer:

Step-by-step explanation:

This means that 9/(9+72)=(3x-20)/(3x+36), or 1/9=(3x-20)/(3x+36). Cross-multiply to get that 27x-180=3x+36, so 24x=216, and x=9.

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Write an equivalent expression for 7¹² × 7⁴

ira [324]

Answer:

$\huge\boxed{7^{16}}$

Step-by-step explanation:

We can use exponent rules to try and simplify this expression down.

Exponent rules tell us that $x^a + x^b = x^{a+b}$ .

This means that since we have the same base on both terms (7 and 7), we can add the exponents to get a simplified expression.

$12 + 4 = 16$

So our simplified expression is $7^{16}$ .

Hope this helped!

7 0

3 years ago

Given the data below:

Leno4ka [110]

Answer:

5.16

Step-by-step explanation:

Since after x=3, value of y starts decreasing for increasing values of x, let's choose. Also we need to find f(x) for x=3.4

x=3,4,5 and f(x)=7,3,1 to find lagrange polynomial

P(x)= ((x-x2)(x-x3)y1)/((x1-x2)(x1-x3) + ((x-x1)(x-x3)y2)/((x2-x1)(x2-x3) + ((x-x1)(x-x2)y3)/((x3-x1)(x3-x2)

P(x)= ((x-4)(x-5)7)/((3-4)(3-5)) + ((x-3)(x-5)3)/((4-3)(4-5)) + ((x-3)(x-4)1)/((5-3)(5-4))

P(x)= x² -11x+31

P(3.4)= 5.16

7 0

3 years ago

The graphs below have the same shape. Complete the equation of the red<br> graph.

inn [45]

Answer:

Step-by-step explanation:

F(x) = 2 - x²

3 0

3 years ago

Can somebody please help me with this question

aleksandr82 [10.1K]

Answer:

An event can have a probability of 3/2 is not true

Step-by-step explanation:

The probability of an event happening is between 0 and 1 inclusive.

A probability of 1 means the event is certain to happen or 100%

You cannot have a probability greater than 1 so

An event can have a probability of 3/2 cannot happen

4 0

2 years ago

Consider a manufacturing process called as turning (a type of machining process) that is used to manufacture cylindrical metal s

Sav [38]

Answer: 86.64%

Step-by-step explanation:

Let x be a random variable that represents the diameter of metal samples.

Given : Population mean : $\mu=10$

Standard deviation: $s=0.50$

Specified tolerance on the diameter is 0.75 mm.

i.e. range of diameter = 10-0.75< x <10+0.75 = 9.25< x< 10.75

Formula to find the z-score corresponds to x: $z=\dfrac{x-\mu}{s}$

At x= 0.75, $z=\dfrac{9.25-10}{0.50}=-1.5$

$z=\dfrac{9.25-10}{0.50}=1.5$

Using standard normal table for z-value,

P-value : $p(-1.5$

∴ Percentage of samples manufactured using this process satisfy the tolerance specification = 86.64%

6 0

3 years ago