Answer:
39 pi cubic inches
Step-by-step explanation:
The volume of a cone is (1/3)(area of the base)(height).
Find the area of the circular base. The circumference of a circle is 
, so
Now that you know the radius of the circular base, you can find its area:
The height of the cone is 13. Time to use the volume formula.
SOLUTION
TO DETERMINE
The degree of the polynomial
CONCEPT TO BE IMPLEMENTED
POLYNOMIAL
Polynomial is a mathematical expression consisting of variables, constants that can be combined using mathematical operations addition, subtraction, multiplication and whole number exponentiation of variables
DEGREE OF A POLYNOMIAL
Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient
When a polynomial has more than one variable, we need to find the degree by adding the exponents of each variable in each term.
EVALUATION
Here the given polynomial is
In the above polynomial variable is z
The highest power of its variable ( z ) that appears with nonzero coefficient is 5
Hence the degree of the polynomial is 5
FINAL ANSWER
The degree of the polynomial is 5
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Learn more from Brainly :-
1. Find the degree of 2020?
brainly.in/question/25939171
2. Write the degree of the given polynomial: 5x³+4x²+7x
Answer: total number of teaspoons of spices in the dish =3.25 teaspoons
Step-by-step explanation:
Step 1
Listing the spices and their quantities , we have
Salt = 1/2 teaspoon
Orégano =1 1/4 teaspoon =5/4 teaspoons
Basil = 3/4 teaspoon
Pepper= in half as much pepper as salt -- This means that the quantity of pepper should be 50% more in quantity than salt
Therefore quantity of pepper = 50% x 1/2 = 0.5 x 0.5= 0.25
0.25 + 1/2 = 0.25 + 0.5 = 0.75 = 3/4 teaspoon of pepper.
Step 2
Adding the amount of spices we have
1/2 + 5/4+ 3/4+ 3/4 = 2+ 5+3+ 3/4 = 13/4 = 3 1/4 teaspoons of spices = 3.25 teaspoons of spices .
I'll explain how to do the first one:-
y = cos-1(x2)
This can be described as ' a function of a function' x^2 is a function of x and cos-1(x^2) is a function of x^2.
We need to apply the chain rule.
Personally I find this easier to understand if i let u = x^2, so
If y = f(u) and u is a function of x then
dy/dx = dy/ du * du/dx
Here u = x^2 and y = cos-1(u)
du/dx = 2x
so dy/dx = d(cos-1(x^2) dx = dy/du * du/dx
= -1 / √(1 - u^2) * 2x
= -2x / √(1 - u^2)
= -2x / √(1 - (x^2)^2)
= -2x / √(1 - x^4)
I hope this helps. but if not. you might like to employ the formulae in the question - The square boxes contain the 'u' s in my answer. These formulae are equivalent to my explanation.
Answer:
H 0 : p ≤ 0.4 H a : p > 0.4
And based on the alternative hypothesis we can conclude that we have a right tailed test
Step-by-step explanation:
Data given
n=300 represent the random sample size
estimated proportion of people with cats
is the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Null and alternative hypothesis
We want to test if the true proportion of people with cats is higher than 0.4, so then the best alternative is:
Null hypothesis:
Alternative hypothesis:
H 0 : p ≤ 0.4 H a : p > 0.4
And based on the alternative hypothesis we can conclude that we have a right tailed test
The statistic is given by:
(1)
Replacing we got:
