Choose an object that is about the same length as a baseball bat

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Answer 1

Answer: The length of the baseball bat differs in length depending on the type of tournament. The length varies from 29 to 34 inches. An example of an object with the length almost similar to these measurements is a 24 - 36 inches T-square.

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How do you factor x4-x3-7x2-x+6?
Is (4, 5) a solution to 2y – 3x = -7?
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Jack and his friends are collecting cans for the food bank. Thus far, they have collected 1500 cans. Jack has collected 60 percent of the cans. Marcia has collected 25 percent of the cans. How many cans have their other friends collected thus far?

Tom has taken out a loan for college. He started paying off the loan with a first payment of $200. Each month he pays, he wants to pay back 1.2 times as the amount he paid the month before. Explain to Tom how to represent his first 30 payments in sigma notation. Then explain how to find the sum of his first 30 payments, using complete sentences. Explain why this series is convergent or divergent.

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Answer:

In this geometric series, a represents the first term, what he pays back monthly is the common ratio which is 1.2, and the first 30 payments are what is being used to find the total amount which is represented by n. Thus, a=$200, n=30 and r=1.2. The sum is found by sn=(a((r^n)-1))/(r-1), which will be 200((1.2^30)-1))/(1.2-1). The solution is = $ 236,376 and the series is divergent because of the common ratio being greater than 1.

Step-by-step explanation:

This is a geometric series. The first payment represents the first term, a. The number of times he wants to pay back for subsequent payments represent the common ration, r. The first 30 payments represents the number of terms to use in finding the sum, n.

Hence, a = $ 200, n = 30 and r = 1.2.

The sum of a geometric sequence is given as:

Sn = (a((r^n)-1))/(r-1)

=(200((1.2^30)-1))/(1.2-1)

= $ 236, 376. 31

Explain why this series is convergent or divergent.

Since the common ratio, r, is greater than 1, the series is divergent

Suppose A is n x n matrix and the equation Ax = 0 has only the trivial solution. Explain why A has n pivot columns and A is row equivalent to In. By Theorem 7, this shows that A must be Invertible.)Theorem 7: An n x n matrix A is invertible if and only if A is row equivalent to In, and in this case, any sequence of elementary row operations that reduces A to In also transfrms In into A-1.

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Answer:

Remember, a homogeneous system always is consistent. Then we can reason with the rank of the matrix.

If the system Ax=0 has only the trivial solution that's mean that the echelon form of A hasn't free variables, therefore each column of the matrix has a pivot.

Since each column has a pivot then we can form the reduced echelon form of the A, and leave each pivot as 1 and the others components of the column will be zero. This means that the reduced echelon form of A is the identity matrix and so on A is row equivalent to identity matrix.

How much does a female elephant weight in tons if they weigh 7,000 pounds

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7,000 pounds is equal to 3.5 tons.

Marguerite drew a rectangle with vertices A(-2,-1) B(-2,-4) and C (1,-4) what are the coordinates of the fourth vortex?

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Concept:

we use the vector method to solve this problem, take all the vertices in vector foam.

In the rectangle their exist two pair of parallel and equal sides, take the one pair and solve for unknown vertex.

BA=CD

A-B = D-C

(-2i-j)-(-2i-4j) = (xi+yj)-(1i-4j)

(-2i-j+2i+4j) = (xi+yj-1i+4j)

3j = xi+yj-1i+4j

i+3j-4j = xi+yj

1i-1j= xi+yj

by comparing,

x= 1

y= -1

so D vertex is (1, -1)

The fourth vortex is (1, -1)

If the base and height of a triangle are measured in inches, what will the units of the perimeter be? centimeters square inches inches

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normally you would give the answer in the units given
UNLESS OTHERWISE STATED

so normally it would be inches (unless the quesiton asks to convert to centimeters)
square inches is for area, we are solving for perimiter

answer is inches

Which of the following is the product of (3x − 5) and (3x + 5)?A. 9x2 − 25
B. 9x2 − 30x − 25
C. 9x − 10
D. 9x2 + 25

Answers

Answer:

Step-by-step explanation:

These binomials make up the difference of squares.

3x * 3x = 9x^2

3x * 5 = 15x

-5 * 3x = - 15x

-5 * 5 = - 25

Notice the 2nd and 3rd terms. They are equal except that one is plus and the other minus. That means they cancel. You are left with

9x^2 - 25

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