Answer:
6 mph
Step-by-step explanation:
3 miles -----> takes 30 minutes
recall that 30 minutes = 1/2 an hour = 0.5 hours
hence,
3 miles -----> takes 30 minutes = 0.5 hrs
therefore her rate of change (i.e speed) in mph
= number of miles ran ÷ time taken in hours
= 3miles ÷ 0.5hrs
= 6 mph
Answer:
curious if you got this one?
Which does NOT represent a constant rate of change of 70 miles per hour for a car?
Question 4 options:
The car travels 245 miles in 3.5 hours.
The car travels 140 miles in 2 hours.
d = 70t, where d represents distance in miles and t represents time in hours.
d = 70t, where d represents distance in kilometers and t represents time in hours.
Step-by-step explanation:
n^3 = n + 3n(n - 1) + 6 C(n, 3) by counting the number of ordered triples (a,b,c), where 1 <= a, b, c <= n, in two different ways.
(b) Prove that
C(n + 2, 3) = (1)(n) + (2)(n - 1) + (3)(n - 2) + . . . + (k)(n - k + 1) + . . . + (n)(1), by counting the number of subsets of {1, 2, 3, . . ., n + 2} containing three different numbers in two different ways.
Answer:
Description of the given points can be defined as follows:
In points A, If b is less than a and c. so, it calls the smiley face (a, b , c), so we'll have a smiling smile whenever we create a chart! And if b is bigger then a and c, then it should be an angry face, although when we switch the head inside out, t get a grumpy face.
In point b, the smirks, which including a greater than b and c, then it is the neutral faces like a is equal to and b equal to c , it can also be seen in certain forms of faces. When the facial is positive, therefore b and b is similar to c. because when we pick a, b and c, but there's a choice of n are neutral.
Its quantity of scowls has been counted. There are many n options to choose a or n-1 forms of picking b. Each value that we can choose for the could also have been the price of b or c. There is also multiplication by 3. Thus 3n(n-1) scowls were present.
A number of happy face faces we note now. There will be n options for such a then n – 1 options for b, but n – 2 options for c. There were the happy faces of n(n-1)(n-2) = 3C(n,3). There are many grumpy face faces of the configuration of 3C(n,3).
Thus, n^3 = n + 3n(n – 1)+ 6C(n,3) was its total amount of faces.
(b) We can select two groups of 2 categories one at two numbers to choose three numbers and the other with one group. Its total number of n+2 can be divided into two groups.
First, there are many two numbers with one group, then n number in another one. This makes up n + 2 number of all. C(2,2) = 1 represents selecting two digits from the two sets. There are many C(n,1) = n forms to select a single organization amount. Which offers us a first 1*n term.
Answer:
It is greater than -4 because 0.46 x 7 2/3 is less than 1/2 x 8
Step-by-step explanation:
Imagine Math answer
The solution of the number for the given condition x% of 56 is the number 14 is 4%
Used the concept of percentage which states that,
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.
Given that,
The x% of 56 is the number 14.
Now, we can write a mathematical expression as,
x% of 56 is 14.
Multiply both sides by 100,
So, we get;
4% of 56 = 14
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If the value of c is negative, you would need zero pairs to model the factorization of the polynomial. The x-tiles on the board determine what the constants are in the factors. The product of these constants is equal to the value of c, so you would need positive tiles on one side of the x-squared tile and negative x-tiles on the other side to have opposite signs on the constants. Opposite signs on the constants will result in a negative value for c when multiplying the factors.
When we have c in ax2 + bx + c as negative, the pairs will have to be zero to achieve the factorization of the polynomial.
Algebra tiles are squares that help students to develop the manipulative skills that are required in algebraic problems.
When we have c in ax2 + bx + c as negative, the pairs will have to be zero to achieve the factorization of the polynomial. The x-tiles on the board determine what the constants are in the factors. Since we need opposite signs to show the constants this will give us a negative value for c when multiplying the factors.
Learn more about algebra: brainly.com/question/953809