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3 years ago

Which of the numbers below belong to the set of integers? I. -4 II. 0.5 III. 3

1 answer:

8 0

Integer is a whole number (not a fractional number) that can be positive, negative, or zero.

So the answer is I. -4 and III. 3

You might be interested in

What is the equation of the line in point-slope form?

evablogger [386]

Answer:

$y +500 = -\frac{1}{5}(x - 100)$

Step-by-step explanation:

Given

The attached graph

Required

Determine the equation in point slope form

From the graph, we have the following points;

$(x_1,y_1) = (-400,-400)$

$(x_2,y_2) = (100,-500)$

First, we calculate the slope (m):

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{-500 - (-400)}{100- (-400)}$

$m = \frac{-500 +400}{100+400}$

$m = \frac{-100}{500}$

$m = -\frac{1}{5}$

The equation is then calculated using:

$y - y_2 = m(x - x_2)$

Substitute x and y values

$y - (-500) = -\frac{1}{5}(x - (100))$

$y +500 = -\frac{1}{5}(x - 100)$

8 0

2 years ago

Help help help help math

balu736 [363]

Answer:

A = 192

Step-by-step explanation:

r = 16/2 = 8

A = 3x(8)^2

8^2 = 64

A = 3 x 64 = 192

4 0

2 years ago

Read 2 more answers

If someone has 8 fl. oz. of 16% wine, how many standard drinks has that person consumed?

UkoKoshka [18]

Answer:

2.1 standard drinks

(or 2 if you need to round to the nearest whole number)

Step-by-step explanation:

The ABV (alcohol by volume) percentage is a measure of the amount of pure alcohol (as a percentage) of the total volume of liquid in a drink.

So for 16% wine, this means that 16% of the volume of the wine is pure alcohol.

Therefore, if 16% of 8 fl oz is pure alcohol, this means that 1.28 fl oz of the 8 fl oz is pure alcohol (since 0.16 × 8 = 1.28).

One standard drink ≈ 0.6 fl oz pure alcohol

To calculate the number of standard drinks, divide the total amount of pure alcohol found by the amount in one standard drink:

1.28 ÷ 0.6 = 2.1

Therefore there is approximately 2.1 standard drinks in 8 fl oz of 16% wine.

5 0

2 years ago

Find the lengths and slopes of the diagonals to name the parallelogram. Choose the most specific name. E (-2, -4), F(0, -1), G(-

Kay [80]

Answer:

1) d) Square

2) Proofs that PWRS is a rhombus are

Length of QS ≠ PR and

Slope of segment QR and PS is -1/2 and Slope of segment RS and QP is -2.

Step-by-step explanation:

The given points (x, y) of the parallelogram are;

E(-2, -4), F(0, -1), G(-3, 1), H(-5, -2)

The slope, m, of the segments are found as follows;

$Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

By computation, the slope of segment EF = 1.5

The slope of segment FG = -0.67

The slope of segment GH = 1.5

The slope of segment HE = -0.67

Therefore, EF is parallel to GH and FG is parallel to HE

The length of the sides are;

$\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}$

By computation, the length of segment EF = 3.61

The length of segment FG = 3.61

The length of segment GH = 3.61

The length of segment HE = 3.61

The diagonals are;

EG and FH

The length of segment EG = 5.099

The length of segment FH = 5.099

Therefore, the diagonals are equal and the parallelogram is a square

2) The given dimensions are;

P(-1, 3), Q(-2, 5), R(0, 4), S(1, 2)

A rhombus has all sides equal

The length of segment PQ = 2.24

The length of segment QR = 2.24

The length of segment RS = 2.24

The length of segment PS = 2.24

The diagonals are;

QS and PR

The length of segment QS = 4.24

The length of segment PR = 1.41

The slope of segment QR = -0.5

The slope of segment PS = -0.5

The slope of segment RS = -2

The slope of segment QP = -2

Therefore, QS≠QR the parallelogram is a rhombus

The correct option ;

Length of QS ≠ PR and

Slope of segment QR and PS is -1/2 and Slope of segment RS and QP is -2.

Where there are acute angles in parallelogram PQRS, then the correct option is d) Length of QR and PS is 2.2 and Length of RS and QP is 2.2

8 0

3 years ago

An apartment has

DedPeter [7]

When you divide 972 by 10.8 you get the answer of 90. Hope this helps :)

8 0

3 years ago