At birth, the ratio of a baby's head length to the length of the rest of its body is

A population of butterflies grows in such a way that each generation is simply 1.5 times the previous generation. There were 350

kap26 [50]

Answer:

378.5 or just 378

Step-by-step explanation:

This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by. When x = 0, y = 350 so that's the y-intercept of our equation.)

The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.

Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.

If we want y when x = 19, plug 19 in for x and solve for y:

y = 1.5(19) + 350

y = 378.5

Since we can't have .5 of a butterfly we will round down to 378

7 0

3 years ago

A large bottle holds 250% as much water as a small bottle. If the small bottle holds 12 ounces of water, how many ounces of wate

mylen [45]

30 ounces

because 2.5*12=30

3 0

3 years ago

The volume of a cube is V= S^3 where V is the volume and s is the length of one side what is the volume of a cube if the length

sammy [17]

The volume of cube is 1000 cubic feet

Solution:

Given that,

The volume of cube is given by formula:

$V = s^3$

Where,

V is the volume of cube

"s" is the length of one side

What is the volume of a cube if the length of a side s is 10 feet

Given, s = 10 feet

Substitute s = 10 in given formula,

$V = 10^3\\\\V = 10 \times 10 \times 10\\\\V = 1000$

Thus volume of cube is 1000 cubic feet

7 0

3 years ago

In the figure, AB is parallel to CD, XY is the perpendicular bisector of AB, and E is the midpoint of XY. Prove that △AEB ≅ △DEC

Makovka662 [10]

Answer:

From top to bottom:

A, J, E, B, I, C, D, G, F, H

See below for more clarification.

Step-by-step explanation:

We are given that AB is parallel to CD, XY is the perpendicular bisector of AB, and E is the midpoint of XY. And we want to prove that ΔAEB ≅ ΔDEC.

Statements:

1) XY is perpendicular to AB.

Definition of perpendicular bisector.

2) XY ⊥ CD.

In a plane, if a transveral is perpendicular to one of the two parallel lines, then it is perpendicular to the other.

3) m∠AXE = 90°, m∠DYE = 90°.

Definition of perpendicular lines.

4) ∠AXE ≅ ∠DYE.

Right angles are congruent.

5) XE ≅ YE

Definition of a midpoint.

6) ∠A ≅ ∠D.

Alternate Interior Angles Theorem

7) ΔAEX ≅ ΔDEY

AAS Triangle Congruence*

(*∠A ≅ ∠D, ∠AXE ≅ ∠DYE, and XE ≅ YE)

8) AE ≅ DE

Corresponding parts of congruent triangles are congruent (CPCTC).

9) ∠AEB ≅ ∠DEC

Vertical Angles Theorem

10) ΔAEB ≅ ΔDEC

ASA Triangle Congruence**

(**∠A ≅ ∠D, AE ≅ DE, and ∠AEB ≅ ∠DEC)

3 0

3 years ago

Which represents a value 1/10 of 0.7?

Nastasia [14]

0.7 can also be written as 7/10. All you need to do is multiply 7/10 by 1/10. You will get 7/100 which is 0.07

3 0

3 years ago

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