Evaluate: xy - x (x - y^0) if x = 2 and y = -1/2

Answers

Answer 1

Answer: Hi

2(-1/2) - 2(2+(-1/2)^0)
= -2/2 - 2(2+(-1/2)^0)
= -1 - 2(2+(-1/2)^0)
= -1 -2 (2+1)
= -1 -2(3)
= -1 -6
= -7

I hope that's help :)

If you have any further questions please let me know :)

Answer 2

Answer: $2(- (1)/(2) ) - 2(2+(- (1)/(2))^0)$

$- (2)/(2) - 2(2+(- (1)/(2) )^0)$

$-1 - 2(2+(- (1)/(2) )^0)$

$-1 -2 (2+1)$

$-1 -2*(3)$ -1 -2(3)

$-1 -6$

$-7$

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a man invested a total of $3,000 in two investments. he made a profit of 3% on the first investment and 4% on the second investment. if his total profit was $107, what was the amount of each investment?

Answers

Let the amount that the man placed in the first investment be $x$ . Then, the amount that he placed in the second investment has to be $\$3000 - x$ . Using those as the investment amounts, the total profit is given by adding the two separate profits as shown:

$.03x + .04(\$3000 - x) = \$107$

We can now solve for x:

$.03x + .04(\$3000 - x) = \$107$
$.03x + (\$120 - .04x) = \$107$
$\$120 - .01x = \$107$
$.01x = \$13$
$x = \$1300$

Thus,

First investment: $x = \bf \$1300$
Second investment: $\$3000 - x = \$3000 - \$1300 = \bf \$1700$

The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle.Always, sometimes, or never

Answers

Answer:

Polygon: A polygon is a simple closed curve entirely made up of line segments.

1. As starting from triangle

Three kind of triangles: Isosceles, Scalene , and equilateral triangle

In none of these measure of an exterior angle at the vertex of the triangle equals the measure of the adjacent interior angle.

2. Quadrilateral = Parallelogram, Rhombus, Rectangle, Square, Kite, Trpzm

Apart from Rectangle and Square none other quadrilateral have The measure of an exterior angle at the vertex of the quadrilateral equals the measure of the adjacent interior angle.

we can also consider other polygons also like pentagon,hexagon,heptagon.

Decagon and found that it is not always possible that measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle.

So, the correct option is Sometimes.

so an exterior angle at the vertex of a polygon not can being never equal the measure of the adjacent interior angle

What is the solution of the equation 14 x − 1 = 7?

3

2

2
32
36

Answers

To solve we need to isolate $x$ .

Start by adding 1 to both sides:
$4x-1+1=7+1$
$4x=8$

Then divide both sides by 4:
$(4x)/(4) = (8)/(4)$
$x=2$

4x-1 = 7
+1 +1
4x = 8
4 4
x = 2

What is the length of AC ? Round to the nearest tenth.10.5 m
12.3 m
18.3 m
21.4 m

Answers

The length of AC is equal to 10.5m

Data;

AC = ?
BC = 15m
Angle = 55 degrees

Trigonometric Ratio

To solve this problem, we have to apply trigonometric ratioSOHCAHTOA here;

Since we have the value of opposite side, angle and we are looking for the adjacent, we can use tangent of the angle to find AC
$tan\theta = (opposite)/(adjacent)$

Let's substitute the values and solve for AC

$tan 55 = (15)/(AC) \nAC = (`15)/(tan55) \nAC = 10.5m$

From the calculations above, the length of AC is equal to 10.5m

Learn more on trigonometric ratio here;

brainly.com/question/24349828

In this right triangle, side AC is adjacent to the reference angle we were given. That's our unknown. The other side is the side opposite the reference angle, so we need a trig ratio that relates the side adjacent to the side opposite which is tangent. Setting up our ratio we have this: $tan(55)= (15)/(x)$ and $x= (15)/(tan(55))$ . Do that on your calculator to find that side AC (x) = 10.5, first choice above.

How to write 25/4% as a decimal

Answers

First let's reduce 25/4

25/4 = 6 1/4

Now we can convert 1/4 to hundredths

6 1/4 = 6 25/100

Now just rewrite 25/100 according to place value (twenty-five hundredths is .25)

6 25/100 = 6.25

Now don't forget we are still in percentage (25/4% = 6.25%)

convert to decimal by dividing by 100 ( move decimal 2 places to the left).

6.25% = .0625

To write 25/4 as a decimal you have to divide numerator by the denominator of the fraction.
We divide now 25 by 4 what we write down as 25/4 and we get 6.25
And finally we have:
25/4 as a decimal equals 6.25

Find the value of z in parallelogram BCDE.

Answers

3z = z + 22
2z = 22
z = 11

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