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valkas [14]
3 years ago
9

You guys are life savers but does anyone know the answers to these questions? I’m so confused rn

Mathematics
1 answer:
timofeeve [1]3 years ago
6 0

Answer:

The third choice

Step-by-step explanation:

We need to find the slope and y-intercept of the line and then put it into y = mx = b form. To find the slope, pick a point on the line; I will use (-2, 5); count how many units up you need to go to get to the next point on the line, which in this case it would be 3. The count how many to the right or left you would need to go, which is 1 to the left. Moving left means a negative, so it is -1. Your slope fraction would be \frac{3}{-1} , since slope is rise over run. You can sub this fraction in for m in y = mx + b, which will give you a revised equation of y = -3x = b. To find the y intercept, or b, just find the point where the line crosses the y-axis, which is -1. So, the equation is now y = -3x - 1.The correct answer is third choice.

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Please help!!!!!!! How many inches would a point on the outer edge of the large gear travel in a 150º rotation? (The gear has a
damaskus [11]
In a full rotation, 360°, a point on the edge of a gear would travel a distance equal to its circumference.  The circumference of a circle is:

C=2πr, and since we are only traveling 150°, we need to set up an appropriate ratio for circumference to the distance the point travels:

d/C=150/360

d=5C/12 and since C=2πr

d=10πr/12

d=5πr/12, and since r=4in

d=5*4π/12 in

d=20π/12 in

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4 0
3 years ago
The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. Th
e-lub [12.9K]

Answer:

95% of monthly food expenditures are between $110 and $190.

Step-by-step explanation:

Given : The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. The sample mean is $150 and the standard deviation is $20.

To find : Using the Empirical rule, about 95% of the monthly food expenditures are between which of the following two amounts?

Solution :

At 95% of the data is between two standard deviation to left and right of the mean is given by,

To the left side, \bar{x}-2\sigma

To the right side, \bar{x}+2\sigma

We have given,

The sample mean \bar{x}=\$150

The standard deviation \sigma=\$20

Substitute in the formula,

\bar{x}-2\sigma

=150-2(20)

=150-40

=110

\bar{x}+2\sigma

=150+2(20)

=150+40

=190

Therefore, 95% of monthly food expenditures are between $110 and $190.

6 0
3 years ago
What is the surface area of a cube with a side length of 5 inches?
SVEN [57.7K]
The answer is :150 square inches because: a cube have equal lengths like a square so therefore 5x5 = 25. There are 6 sides of a cube so: 25x 6= 150
7 0
2 years ago
Read 2 more answers
Abigail has 16 apples she eats 2 apples per day.let y be the apples remaining as a function of the number of week,x
Greeley [361]

Answer:

Let X be the number of weeks.

2x - 16 = 14

   we add 16 on both sides.

2x = 30

now we divide 2 on both sides to get rid of the 2 to the x, we want to get x on its own.

X = 15

3 0
3 years ago
Which equation shows y = -1/2x + 4 is in standard form?
Scrat [10]

For this case we have that by definition, the standard way to write the equation of a line, is given by:

ax + by = c

Where a, b and c are integers.

Given y =-\frac{1}{2}x+ 4

We can write it in the standard way:

\frac{1}{2}x+ y = 4

a=\frac{1}{2} and by the previous definition, the numbers a, b and c must be integers.

Thus, we multiply the equation by 2, on both sides so as not to alter the equality.

2*\frac{1}{2}x+ 2 * y= 2 * 4

x + 2y = 8

Thus, the equation of y =-\frac{1}{2}x+ 4 , in its standard form is given by:

x + 2y = 8

Answer:

Option B


4 0
3 years ago
Read 2 more answers
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