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3 years ago

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Which of the following is a counterexample to the statement “All even numbers are divisible by 4”? 2 x 2 = 4 7 is not divisible

by 4 8 is divisible by 4 10 is not divisible by 4

1 answer:

Naily [24]3 years ago

5 0

10 is not divisible by 4

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Two semicircles are attached to the sides of a rectangle as shown.

NeTakaya

Answer:

157 in²

Step-by-step explanation:

The area of the shape is the sum of three sections

<u>1. Rectangle</u>

A = 5*14 = 70 in²

<u>2. Bigger semicircle</u>

A = 1/2π(14/2)² = 76.96 ≈ 77 in² (rounded)

<u>3. Smaller semicircle</u>

A = 1/2π(5/2)² = 9.8174 ≈ 10 in² (rounded)

<u>Total area:</u>

70 + 77 + 10 = 157 in²

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3 years ago

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Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.

marishachu [46]

Answer:

$\text{Possible rational zeros}=\pm1,\pm\frac{1}{2},\pm2,\pm3,\pm\frac{3}{2},\pm6,\pm9,\pm\frac{9}{2},\pm18$

Step-by-step explanation:

We have been given the function

$f(x)=-2x^2+4x^3+3x^2+18$

From the rational zeros theorem, we have

$\text{Possible rational zeros}=\pm\frac{\text{Factors of constant term}}{\text{Factors of leading coefficient}}$

From the given function,

Leading coefficient = 2

Factors of 2 are 1,2

Constant term = 18

Factors of constant term = 1, 2, 3, 6, 9, 18

Hence, we have

$\text{Possible rational zeros}=\pm\frac{1,2,3,6,9,18}{1,2}\\\\\text{Possible rational zeros}=\pm1,\pm\frac{1}{2},\pm2,\pm3,\pm\frac{3}{2},\pm6,\pm9,\pm\frac{9}{2},\pm18$

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3 years ago

Twelve of the 28 students in a class have a dog. What is the ratio of students who have a dog to students who do not?

Novay_Z [31]

Answer:

dont no

Step-by-step explanation:

dont no

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3 years ago

I need to know how do you do it in expanded form

Gennadij [26K]

If a number is 5679, expanded form is 5000+600+70+9

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3 years ago

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The Balance of your checking account is $751.You write checks for $49,$36,and $125.You then Deposit $148 from your paycheck.What

olganol [36]

Answer:

your new balance is $689.

Step-by-step explanation:

1.) subtract 49 from 751, then subtract 36 from that amount then 125 from that amount.(your balance at this point should be 541.)

2.) add 148 to 541 which should make you nee balance be 689

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3 years ago