Is 8.5 x 10^-5 scientific notation

anyone help if you guys help me the next question i will give u more points the screenshot is attached below

Zolol [24]

Answer:

69°

Step-by-step explanation:

To obtain the value of w, we must first obtain the value y as shown in the attached photo.

The value of y can be obtained as follow:

y + (w + 37) = 180 (sum of angle on a straight line)

y + w + 37 = 180

Make y the subject by rearranging

y = 180 – 37 – w

y = 143 – w

Finally, we shall determine the value of w as follow:

w + (w – 32) + y = 180 (sum of angles in a triangle)

y = 143 – w

w + (w – 32) + (143 – w) = 180

w + w – 32 + 143 – w = 180

Rearrange

w + w – w – 32 + 143 = 180

w + 111 = 180

Collect like terms

w = 180 – 111

w = 69°

Therefore, the value of w is 69°

4 0

3 years ago

Which polynomial expression represents the area of the outer most square tile, shown below?

Andrew [12]

ANSWER

${x}^{2} - 6x + 9$

EXPLANATION

The outermost square tile has side length,

$l = x - 3$

The area of a square is given by;

$Area= {l}^{2}$

We substitite the given expression for the side length into the formula to obtain,

$Area= {(x - 3)}^{2}$

$Area= {(x - 3)}(x - 3)$

We expand using the distributive property to obtain;

$Area=x {(x - 3)} - 3(x - 3)$

This gives us:

$Area= {x}^{2} - 3x - 3x + 9$

$Area= {x}^{2} - 6x + 9$

The last choice is correct.

7 0

3 years ago

Read 2 more answers

Find the product of 4 2/7 x 3 1/2

Fiesta28 [93]

Answer:

Hey there!

The product of these two fractions would equal 15.

Hope this helps :)

8 0

3 years ago

Read 2 more answers

Which function represents a reflection of f(x) =

liubo4ka [24]

If your original equation was $f(x) = 3(2)^x$ , then a reflection over the x-axis means you need all the y-values to switch sign. This means you need to multiply that function by -1.

$g(x) = -1\cdot 3(2)^x$ or $g(x) = -3(2)^x$

8 0

2 years ago

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimeters,

tiny-mole [99]

Answer:

Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.

Step-by-step explanation:

We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.

A random sample of 39 steel bolts is selected.

Let $\bar X$ = sample mean diameter

The z score probability distribution for sample mean is given by;

Z = $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ ~ N(0,1)

where, $\mu$ = population mean diameter = 141 millimetres

$\sigma$ = standard deviation = 7 millimetres

n = sample of steel bolts = 39

Now, Percentage the sample mean would be greater than 141.4 millimetres is given by = P( $\bar X$ > 141.4 millimetres)

P( $\bar X$ > 141.4) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ > $\frac{141.4-141}{\frac{7}{\sqrt{39} } } }$ ) = P(Z > 0.36) = 1 - P(Z $\leq$ 0.36)

= 1 - 0.6406 = 0.3594

The above probability is calculated by looking at the value of x = 0.36 in the z table which has an area of 0.6406.

8 0

3 years ago