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3 years ago

What is the absolute value of |-15|? Explain!

Mathematics

2 answers:

GrogVix [38]3 years ago

7 0

Answer: 15

Step-by-step explanation: anything in those two straight lines is automatically positive

EleoNora [17]3 years ago

6 0

Answer:

Step-by-step explanation:

The absolute value is how far away it is from 0. If it's -15, it is 15 spaces away from 0. If it is 15, it is still 15 spaces away from 0. The bars around -15 are the absolute value bars.

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53, Margie usually drinks 12.25 liters of water in one week (7 days), 1 she continues to drink water at the same rate, what is t

Anna [14]

Using the information given in the question, the total number of liters Margie will drink in a 4 week period is 39

<u>Consider the given information:</u>

<u />

12.25 liters per week
Continues this for 4 weeks

<u>Equation formed with said information:</u>

Liters per week × The 4-week period

<u>Solving the equation</u>

12.25 × 4

= 49

Therefore, after the 4-week period Margie would of drank 49 liters

4 0

2 years ago

The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial

GREYUIT [131]

Answer:

P(0) = 7,917

Step-by-step explanation:

The population of the community is given by the following formula:

$P(t) = P(0)(1+r)^{t}$

In which P(0) is the initial population and r is the growth rate.

The initial population P0 has doubled in 5 years.

This means that

$P(5) = 2P(0)$

Which lets us find r.

$P(t) = P(0)(1+r)^{t}$

$2P(0) = P(0)(1+r)^{5}$

$(1+r)^{5} = 2$

Applying the 5th root to both sides

$1+r = 1.1487$

$r = 0.1487$

$P(t) = P(0)(1.1487)^{t}$

Suppose it is known that the population is 12,000 after 3 years.

With this, we find P(0)

$P(t) = P(0)(1.1487)^{t}$

$12000 = P(0)(1.1487)^{3}$

$1.5157P(0) = 12000$

$P(0) = \frac{12000}{1.5157}$

$P(0) = 7917$

4 0

2 years ago

Find the missing angles for every point here

dimulka [17.4K]

In order to find the missing angles, we can see that vertically opposite angles and corresponding angles are equal.

46° + 82° + No. 4 = 180°

No. 4 = 180° - 128° = 52°

Therefore: No. 4 = No. 1 = 52° (vertically opposite angles)

<h3>What is angle?</h3>

In geometry, an angle is actually known to be the figure that is created by two rays that actually meet at an end point that is common to the both rays. It is represented by the symbol: ∠.

So, we can see that:

Line a || Line b and Line c || Line d

46° = 7 (corresponding angles)

So, 46° + 82° + No. 4 = 180°

Thus, No. 4 = 180° - 128° = 52°

Therefore:

No. 4 = No. 1 = 52° (vertically opposite angles)

No. 2 = 180° - 52° = 128° (angles on a straight line)

No. 2 = No. 3 = 128° (vertically opposite angles)

No. 7 = No. 6 = 46° (vertically opposite angles)

No. 8 = 180° - 46° = 134° (angles on a straight line)

No. 8 = No. 5 = 134° (vertically opposite angles).

82° = No. 11 (vertically opposite angles)

No. 9 = 180° - 82° = 98° (angles on a straight line)

No. 9 = No. 10 = 98° (vertically opposite angles)

No. 9 = No. 15 = 98° (alternate angles)

No. 13 = No. 15 = 98° (vertically opposite angles)

No. 12 = No. 14 = 82° (vertically opposite angles)

46°= No. 17 (vertically opposite angles)

No. 18 = 180° - 46° = 134° (angles at a point)

No. 18 = No. 16 = 134° (vertically opposite angles)

No. 19 = 180° - (46° + 82°) = 52° (sum of angles in a triangle)

No. 19 = No. 22 = 52° (vertically opposite angles)

No. 20 = 180° - 52° = 128° (angles on a straight line).

No. 20 = No. 21 = 128° (vertically opposite angles)

No. 25 = No. 2 = 128° (corresponding angles)

No. 25 = No. 24 = 128° (vertically opposite angles)

No. 23 = No. 26° (vertically opposite angles).

So, all the angles are:

1= 52°

2= 128°

3= 128°

4= 52°

5= 134°

6= 46°

7= 46°

8=134°

9= 98°

10= 98°

11= 82°

12= 82°

13= 98°

14= 82°

15= 98°

16= 134°

17= 46°

18= 134°

19= 52°

20= 128°

21= 128°

22= 52°

23= 52°

24= 128°

25= 128°

26= 52°

Learn more about angles on brainly.com/question/26167358

3 0

2 years ago

Need to find Value of x

Pie

180 = 3x + 5x + 2x +5
180 = 10x + 5
175 = 10x
x = 17.5

180 is how many degrees in a triangle

4 0

3 years ago

Help please calculus

VLD [36.1K]

Let x, y, and z denote the side lengths of the box, with the bottom face having dimensions x-by-y and z is the height. Naturally this means each of x, y, and z must be greater than 0.

The box has a fixed volume of 252 cm³, so

xyz = 252

The surface area of the box is

2xy + 2xz + 2yz

and we're told that the material cost for each face is different. The total cost of the material needed to make the box is given by

C (x, y, z) = ($5/cm²) xy + ($2/cm²) xy + 2 ($3/cm²) (xz + yz)

or, omitting units and simplifying,

C (x, y, z) = 7xy + 6 (x + y) z

In the volume constraint, solve for any one variable; I'll do z.

z = 252/(xy)

Substitute this into the cost function:

C (x, y, 252/(xy)) = 7xy + 1512 (x + y)/(xy)

Since this is now a function of 2 variables, I'll rewrite this as

C* (x, y) = 7xy + 1512 (1/y + 1/x)

Compute the partial derivatives of C and find the critical points:

∂C/∂x = 7y - 1512/x² = 0 ⇒ x² y = 216

∂C/∂y = 7x - 1512/y² = 0 ⇒ x y² = 216

It follows that

x² y = x y² ⇒ x = y

Just like before, we can think about C* as yet another function but only of 1 variable,

C** (x) = 7x² + 3024/x

Now find the critical points of C** :

dC**/dx = 14x - 3024/x² = 0 ⇒ x = 6

All of this tells us that C (x, y, z) has a critical point when x = y = 6 and z = 252/6² = 7. So the box that costs the least has dimensions 6 × 6 × 7 cm, which gives the box a surface area of 240 cm² and a total cost of $756.

6 0

2 years ago