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3 years ago

Wyatt estimates that it will cost $425,000 to send his daughter to a private college in 18

Mathematics

1 answer:

Feliz [49]3 years ago

7 0

Interest = p times R times T

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Verify the trigonometric identity. convert the left side of the relationship to look like the right side.

Tomtit [17]

Answer:

Verified

Step-by-step explanation:

Use $\tan{x}=\frac{\sin{x}}{\cos{x}}$ , $\sin^2{x}+\cos^2{x}=1$ and $\sec{x}=\frac{1}{\cos{x}}$

LHS= $\tan^2{x}+1=\frac{\sin^2{x}}{\cos^2{x}} + 1=\frac{\sin^2{x}+\cos^2{x}}{\cos^2{x}}=\frac{1}{\cos^2{x}}=\sec^2{x}$ =RHS

5 0

2 years ago

What is the fourth term in the binomial expansion (a+b)^6)

Dafna11 [192]

Answer:

$20a^3b^3$

Step-by-step explanation:

Binomial Series

$(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n$

Factorial is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

$\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3$

$\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3$

$\implies \dfrac{6!}{3!3!}a^{3}b^3$

$\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3$

$\implies \left(\dfrac{120}{6}\right)a^{3}b^3$

$\implies 20a^3b^3$

7 0

2 years ago

Addison earn $25 mowing her neighbor's lawn then she loaned her friend $18 and got 50 from her grandmother for her birthday she

yarga [219]

Solution: The total money did addison have to begin with is $29.

Explanation:

Let the addison begin with money $x.

It is given that the addison earn $25 from his neighbor and $50 from her grandmother. So total money addison has $\$x+\$25+\$50=\$x+\$75$

She loaned her friend %18.

Now she has $\$x+\$75-\$18=\$x+\$57$

It is given that she had $86.

$\$x+\$57=\$86\\\$x=\$86-\$57\\\$x=\$29$

Therefore, the total money did addison have to begin with is $29.

4 0

3 years ago

Read 2 more answers

If the following fraction is reduced, what will be the exponent on the p? -5p^5q^4/ 8p^2q^2

viktelen [127]

-5p^5q^4/ 8p^2q^2
= -5p^3q^2

exponent on the p will be 3

answer
C.3

6 0

3 years ago

Read 2 more answers

A.19.7 B.19.2 C.21.3 D.20.8

nadya68 [22]

Answer:

x = 180

Step-by-step explanation:

since straight lines are 180

(is it asking to find the area?)

5 0

3 years ago