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2 years ago

Find the least whole number that can make this statement true. _ ÷ 9<700

1 answer:

6 0

A whole number is defined as any non-negative integer that has no decimals. Therefore, the lowest whole number to make this true is 0, because 0/9 equals 0. 0 is, obviously, less than 700.

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Simplify and write the trig expression in terms of sin and cos

dsp73

We have:

$cot(-x)cos(-x)+sin(-x)=-\frac{1}{f(x)}$

Then we use trigonometric identities to change the negative sign of the trigonometric functions, so:

$-sin(x)-cot(x)cos(x)=-\frac{1}{f(x)}$

We clear f(x):

$f(x)=\frac{1}{sin(x)+cot(x)cos(x)}=\frac{1}{sin(x)+\frac{cos(x)}{sin(x)}cos(x)}=\frac{1}{sin(x)+\frac{cos^2(x)}{sin(x)}}$

we simply what we can:

$f(x)=\frac{1}{\frac{sin^2(x)+cos^2(x)}{sin(x)}}=sin(x)$

Thus, the correct answer is;

$f(x)=sin(x)$

6 0

7 months ago

The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?

Scilla [17]

The slope-intercept form is:
y = mx + b
where m = slope, and b = y-intercept.
You need a slope of 1, so m = 1.
You need a y-intercept of -1, so b = -1.
Replace m with 1 and b with -1 in the slope intercept form to get

y = 1x + (-1)

which simplifies to

y = x - 1

3 0

2 years ago

The area of triangle is a 15 in.² the triangle height is 5 inches what is the length of the base

Kryger [21]

Answer:

6 in.

Step-by-step explanation:

Hello there!

Work the triangle formula backward:

15 x 2=30

30/5=6 in

3 0

2 years ago

Read 2 more answers

a drink is made by mixing pineapple juice orange juice and lime juice in the ratio 2:7:3 Sally makes 600ml of the fruit drink ho

satela [25.4K]

Pineapple juice : orange juice : lime juice = 2:7:3
So there is 2x of pineapple juice, 7x of orange juice and 3x of lime juice.

$2x+7x+3x=600 \\
12x=600 \\
x=50 \\ \\
pineapple \ juice \to 2x = 2 \times 50=100$

She used 100 ml of pineapple juice.

7 0

2 years ago

Read 2 more answers

F(x) = 9x + 3<br>g(x) = 3x + 1<br>Find:<br>(f/g)(x)

igomit [66]

Answer:

Step-by-step explanation:

f(x) = 9x + 3

g(x) = 3x + 1

To find (f/g)(x) divide f(x) by g(x)

That's

$(f/g)(x) = \frac{9x + 3}{3x + 1}$

Factorize f(x)

f(x) = 9x + 3 = 3(3x + 1)

So we have

$(f/g)(x) = \frac{3(3x + 1)}{3x + 1}$

Simplify

We have the final answer as

Hope this helps you

4 0

2 years ago