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faltersainse [42]
3 years ago
5

Solve sec^2(x) < tan^2(x)+sec(x) over 0 to 2pi

Mathematics
2 answers:
sveta [45]3 years ago
5 0

Answer:

D

Step-by-step explanation:

On edge

Lilit [14]3 years ago
3 0

Answer:

D on edge

Step-by-step explanation:

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Find an explicit rule for the nth term of the sequence.
Sphinxa [80]

Step-by-step explanation:

in a geometric sequence there is a constant factor x that is multiplied with every previous term to create the next one.

a2 = 20

a5 = 1280 = a2×x×x×x = a2×x³ = 20x³

64 = x³

x = 4

=> a1 = 5

therefore

an = an-1×4 =

a1 \times  {4}^{n - 1}

n > 1

7 0
3 years ago
Write the following as an inequality.
JulsSmile [24]

Answer:

-4\leq x

that is the required inequality

6 0
3 years ago
Jill and Erica make 4 gallons of lemonade for their lemonade stand. If they charge $2.00 per quart, how much money will they mak
Karo-lina-s [1.5K]

Answer:

They will have 32 dollars

Step-by-step explanation:

4 Gallons are 16qt

Sooo....

Multiply 16*2.00=32.00

7 0
3 years ago
Match each value with its formula for ABC.
Ivahew [28]

For the triangle ABC use the sine theorem:

\dfrac{a}{\sin A}= \dfrac{b}{\sin B}= \dfrac{c}{\sin C}.

1. From \dfrac{a}{\sin A}= \dfrac{b}{\sin B} you have \dfrac{a}{b} \cdot \sin B=\sin A.

2. From \dfrac{b}{\sin B}= \dfrac{c}{\sin C} you have \dfrac{b}{c} \cdot \sin C=\sin B.

3. From \dfrac{a}{\sin A}= \dfrac{c}{\sin C} you have \dfrac{c}{a} \cdot \sin A=\sin C.

4. From \dfrac{a}{\sin A}= \dfrac{c}{\sin C} you have \dfrac{\sin A}{\sin C} \cdot c=a.

5. From \dfrac{a}{\sin A}= \dfrac{b}{\sin B} you have \dfrac{\sin B}{\sin A} \cdot a=b.

6. From \dfrac{b}{\sin B}= \dfrac{c}{\sin C} you have \dfrac{\sin C}{\sin B} \cdot b=c.

5 0
3 years ago
Read 2 more answers
Samantha is looking to determine the amount of interest that she will pay on her 4.7% , $40,000 loan over its 15 -year term. The
AysviL [449]

Answer:

The total amount of interest Samantha will pay=$40,842.47

Step-by-step explanation:

Step 1: Determine expression of total interest amount to be payed

The expression for the total interest amount to be payed inclusive of interest is given by;

A=P(1+r/n)^(nt)-P

where;

A=total amount of interest to be payed

P=principal loan amount

r=annual interest rate

n=number of compounding periods in a year

t=number of years

In our case;

P=$40,000

r=4.7%=4.7/100=0.047

n=12

t=15 years

replacing;

A=40,000(1+0.047/12)^(12×15)-40,000

A=40,000(1.00392)^180-40,000

A=40,842.46821

The amount rounded of to the nearest cents=1/100=0.01, round off to the nearest 2 decimal places=40,842.47

The total amount of interest Samantha will pay=$40,842.47

3 0
3 years ago
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