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3 years ago

What is the value of this expresion 4(-6^2+ 3) - 2-1/2

Mathematics

1 answer:

lesya [120]3 years ago

7 0

Answer: -134.5

Step-by-step explanation:

4(-6^2+3) - 2 - 1/2 Exponents first

4(-36 +3) - 2 - 1/2 Now solve the parentheses

4(-33) -2 -1/2

-132- 2 -1/2

-134 - 1/2 = -134.5

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How to solve this pythagoras theorem

My name is Ann [436]

Answer:

see explanation

Step-by-step explanation:

The hypotenuse is the longest side thus is (4x + 1)

The legs are 2x and (4x - 1)

Using Pythagoras' theorem, then

(4x + 1)² = (2x)² + (4x - 1)² ← expanding factors

16x² + 8x + 1 = 4x² + 16x² - 8x + 1 , that is

16x² + 8x + 1 = 20x² - 8x + 1 ( subtract 20x² - 8x + 1 from both sides )

- 4x² + 16x = 0 ( multiply through by - 1 )

4x² - 16x = 0 ← factor out 4x from each term

4x(x - 4) = 0

Equate each factor to zero and solve for x

4x = 0 ⇒ x = 0

x - 4 = 0 ⇒ x = 4

Now x > 0, thus x = 4

2x = 2(4) = 8

4x - 1 = 4(4) - 1 = 16 - 1 = 15

4x + 1 = 4(4) + 1 = 16 + 1 = 17

Thus

perimeter = 8 + 15 + 17 = 40 cm

3 0

3 years ago

What is the slope of the line that passes through (-6,13) and (8,-29)

Bumek [7]

Answer:

-3

Step-by-step explanation:

4 0

3 years ago

6. The first six terms in a quadratic pattern are

dexar [7]

Since 83-59=24, 83 is added by 28 so your answer would be 111.

5 0

3 years ago

Scores on a college entrance examination are normally distributed with a mean of 500 and a standard deviation of 100. What perce

Alla [95]

Answer:

The percentage is $P(350 < X 650 ) = 86.6\%$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 500$

The standard deviation is $\sigma = 100$

The percent of people who write this exam obtain scores between 350 and 650

$P(350 < X 650 ) = P(\frac{ 350 - 500}{ 100}$

Generally

$\frac{X - \mu }{\sigma } = Z (The \ standardized \ value \ of \ X )$

$P(350 < X 650 ) = P(\frac{ 350 - 500}{ 100}$

$P(350 < X 650 ) = P(-1.5$

$P(350 < X 650 ) = P(Z < 1.5) - P(Z < -1.5)$

From the z-table $P(Z < -1.5 ) = 0.066807$

and $P(Z < 1.5 ) = 0.93319$

=> $P(350 < X 650 ) = 0.93319 - 0.066807$

=> $P(350 < X 650 ) = 0.866$

Therefore the percentage is $P(350 < X 650 ) = 86.6\%$

3 0

3 years ago

Please help me how to figure this out I’m trying to figure out the area ASAP please

Natasha2012 [34]

Answer:

$1230.88m^{2}$

Step-by-step explanation:

Shown is one-fourth of a circle. Also, according to the picture, the radius is 28 meters.

The area for a whole circle is $2\pi r^{2}$ .

Using that information, we can find the area as if the circle was whole instead of just the fourth.

$2(\pi)(28m)^2 = 2(3.14)(784m^{2} ) = 4923.52m^{2}$

Now that we know the area of the whole circle, we just have to divide it by four to find the area of the fourth of the circle.

$4923.52m^{2} / 4 = 1230.88m^{2}$

That means that the area of the shape shown is $1230.88m^{2}$ .

I hope this helps!

4 0

3 years ago