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emmasim [6.3K]
2 years ago
14

Which integer is the smallest? A. 34 B.-4 C.-84 D. 24

Mathematics
1 answer:
NISA [10]2 years ago
5 0

Answer:

C. -84

Step-by-step explanation:

It is the smallest because when placed on a number line, it will be the farthest left.

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Determine the quadrant when the terminal side of the angle lies according to the following conditions: cos (t) < 0, csc (t) &
Bess [88]

Answer:

The angle is in the second quadrant.

Step-by-step explanation:

The cosecant of an angle is the same as the reciprocal of the sine of that angle. In other words, as long as \sin (t) \ne 0,

\displaystyle \csc t = \frac{1}{\sin t}.

Therefore, \csc(t) > 0 is equivalent to \sin (t) > 0.

Consider a unit circle centered at the origin. If the terminal side of angle t intersects the unit circle at point (x,\, y), then

  • \cos (t) = x, and
  • \sin(t) = y.

For angle t,

  • x = \cos(t) < 0, meaning that the intersection is to the left of the y-axis.
  • y = \sin(t) > 0, meaning that the intersection is above the x-axis.

In other words, this intersection is above and to the left of the origin. That corresponds to second quadrant of the cartesian plane.

6 0
2 years ago
Can you simplify 4+6(3)+2(5 1/2 -1)
Greeley [361]

Answer:

31

5 1/2 - 1 = 4.5

4+ 18= 22

2(4.5) = 9

22+ 9 = 31

Step-by-step explanation:

7 0
2 years ago
(−m <br> 2<br> +6)+(−4m <br> 2<br> +7m+2)
dmitriy555 [2]

Following are calculation to the given eqution:

Given:

\bold{(-m^2+6)+(-4m^2+7m+2)}

To find:

Solve the equation.

Solution:

\to \bold{(-m^2+6)+(-4m^2+7m+2)}\\\\\to \bold{-m^2+6-4m^2+7m+2}\\\\\to \bold{-5m^2+7m+8}\\\\\to \bold{-1(5m^2-7m-8)}\\\\

Therefore, the final solution is "-1(5 m^2-7m-8)".

Learn more:

brainly.com/question/12685776

7 0
2 years ago
Herman and Jackie are saving money to pay for college. Herman currently has $15,000 and is working hard to save $1000 per month.
Mashutka [201]

Answer:

Part 1) 10\ months

Part 2) \$25,000

Step-by-step explanation:

Let

y ----> the total amount of savings

x ----> the number of months

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

<em>Herman</em>

The slope is equal to m=\$1,000\ per\ month

The y-intercept is b=\$15,000

substitute

y=1,000x+15,000 ----> equation A

<em>Jackie</em>

The slope is equal to m=\$1,300\ per\ month

The y-intercept is b=\$12,000

substitute

y=1,300x+12,000 ----> equation B

Part 1) In how many months will they have the same amount of savings?

equate equation A and equation B

1,300x+12,000=1,000x+15,000

solve for x

1,300x-1,000x=15,000-12,000

300x=3,000

x=10\ months

Part 2) How much will each of them have saved?

substitute the value of x=10 months in any of the equations

equation A

y=1,000(10)+15,000=\$25,000

equation B

y=1,300(10)+12,000=\$25,000

7 0
3 years ago
How do you find the area of a cube measuring 3ft it has 7sides
RUDIKE [14]
3 times 7= 21 times three =63

4 0
3 years ago
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