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3 years ago

If a tennis ball has a diameter of 14, What is the volume of the tennis ball? Use 3.14 for pi.

Mathematics

2 answers:

Marina86 [1]3 years ago

8 0

The volume of the tennis ball is 1436

ValentinkaMS [17]3 years ago

5 0

Answer:

1436

Step-by-step explanation:

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Given real numbers a,b > 1.

irina [24]

Answer:

FALSE

Step-by-step explanation:

Recall that a function f(x) is of exponential order c, if there exists a constant M such that and a real r such that

$|f(x)|\leq Me^{cx}\;(x\geq r)$

Now, take a = 2.5 and b = 2

The functions

$f(x)=(2.5)^x\;g(x)=2^x$

are both exponential of order 1, since

$\lim_{x \to \infty}\frac{f(x)}{e^x}=\lim_{x \to \infty}\frac{g(x)}{e^x}=0$

but a>b

8 0

3 years ago

A cube has a height of 7 cm. What is the volume of the cube?

WITCHER [35]

Answer:

343

Step-by-step explanation:

if you have a cube, then the volume is one of the sides cubed, or to the third power. 7^3 can be represented as 7*7*7, or 7x7x7, which is 343.

Brainliest

4 0

2 years ago

Value of the derivative of g(x)=8-10Cosx at 'x=0' is?

VLD [36.1K]

Answer:

g'(0) = 0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Pre-Calculus

Unit Circle

Calculus

Derivatives
Derivative Notation
The derivative of a constant is equal to 0
Derivative Property: $\frac{d}{dx} [cf(x)] = c \cdot f'(x)$
Trig Derivative: $\frac{d}{dx} [cos(x)] = -sin(x)$

Step-by-step explanation:

Step 1: Define

g(x) = 8 - 10cos(x)

x = 0

Step 2: Differentiate

Differentiate [Trig]: g'(x) = 0 - 10[-sin(x)]
Simplify Derivative: g'(x) = 10sin(x)

Step 3: Evaluate

Substitute in x: g'(0) = 10sin(0)
Evaluate Trig: g'(0) = 10(0)
Multiply: g'(0) = 0

3 0

3 years ago

Calculate the allele frequencies in this population of palm trees. A model consisting of a box containing fourteen, randomly arr

bogdanovich [222]

Answer:

The correct answer is

0.5 F, 0.5 f

Step-by-step explanation:

We note the following

Number of colored circles in the box = 14

Number of red circles in the box = 4

Number of purple circles in the box = 6

Number of blue circles in the box = 4

The allele frequency are as follows

Where the frequency is given as

Genotype Frequency Relative frequency

FF = Red 4 4/14 (0.29≈0.3)

Ff = Purple 6 6/14 (0.43≈0.4)

ff = Blue 4 4/14(0.29≈0.3)

Within this population,

We however have 4 FF = 8 F

6 Ff = 6 F + 6 f and

4 ff = 8 f

Total allele = 8+6+6+8 = 28

Relative frequency of F = (8+6)/28 = 14/28 = 0.5

relative frequency of f = (8+6)/28 = 0.5

Therefore the allele frequencies in the palm tree population is

0.5 F, 0.5 f

When in equilibrium we have

However the FF has the product of F×F which is = F² = 0.29 so the frequency of F = √(0.29) = 0.535≈ 0.5

The frequency of Ff is Ff or fF = 0.43 since there is equal number of each allele in Ff we have fF or Ff = Ff = 0.43

Which hives 0.43/2 = F =f ≈ 0.2

and ff = 0.29 so that f = 0.535 ≈ 0.5

Therefore f = F = 0.5 + 0.2 = 0.7

5 0

3 years ago

Picture Shown!

Mnenie [13.5K]

Answer:

0'=(0,3)

Step-by-step explanation:

P'=(-5+5,7-5)=(0,3)

3 0

2 years ago