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3 years ago

The slope of the graph of y = 5x isPlease answer ASAP

Mathematics

2 answers:

Katyanochek1 [597]3 years ago

6 0

The slope of the graph of [ Y = 5x ] is 5 .

professor190 [17]3 years ago

3 0

Answer:

Step-by-step explanation:

The general form of the equation for a line is:

$y=mx+b$

where the number $m$ that accompanies the x is the slope of the line, and the number $b$ is called the y-intercept of the line.

In this case we have the equation:

$y=5x$

we can see that we don't have any number added, so in this line $b=0$ , and the number that accompanies the x is 5, so

$m=5$ which is the slope of the line

So the answer is 5.

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Solving two step equations w/-3+14=5

natali 33 [55]

w/–3 + 14 = 5

⇛ w/–3 = 5 – 14

⇛ w/–3 = – 11

⇛ w = –11 × (–3)

⇛ w = 33

7 0

2 years ago

8-35. Use your knowledge of polygons to answer the questions below, if possible.

Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

(c)x=52 degrees

(d)x=107 degrees

(e)1620 degrees

Step-by-step explanation:

(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

I. If the Interior angle is $1980^0$

Then:

$(n-2)180^0=1980^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=11\\$Add 2 to both sides of the equation\\n-2+2=11+2\\n=13$

The polygon has 13 sides.

II. If the Interior angle is $900^0$

Then:

$(n-2)180^0=900^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=5\\$Add 2 to both sides of the equation\\n-2+2=5+2\\n=7$

The polygon has 7 sides.

(b)The sum of the exterior angle of a polygon is 360 degrees,

Each exterior angle of a n-sided regular polygon is: $\frac{360^0}{n}$

If the exterior angle of a regular polygon is 90°

Then:

$90\°=\frac{360^0}{n}\\ 90n=360\\n=4$

The regular polygon has 4 sides and it is called a Square.

(c)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

Each Interior angle of a regular n-sided polygon is: $\frac{(n-2)180^0}{n}$

For a pentagon, n=5

Then:

$\frac{(5-2)180^0}{5}=2x+4\\108=2x+4\\108-4=2x\\104=2x\\x=52^0$

(d)The sum of the exterior angle of a polygon is 360 degrees.

If four of the exterior angles of a pentagon are 57, 74, 56, and 66.

Let the fifth angle=x

Then:

$57+74+56+66+x=360^0\\253+x=360\\x=107^0$

(e)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180= $1620^0$

The sum of the interior angle does not change either in a regular or irregular polygon.

3 0

2 years ago

Find the simple interest for a $8,000 loan for 2 years at a rate of 4% (formula: l=prt)

Natali [406]

Answer:

S.I= 640

Step-by-step explanation:

I=prt

where p= $8,000

and r= 4%

and t= 2 years

$8,000×4%×2

8,000×4/100×2

80×4×2

=640

Therefore The S.I = 640.

6 0

3 years ago

UCF is a major Metropolitan University located in Orlando Florida. UCF is advertising their bachelor in Economics with the stati

Arlecino [84]

Answer:

The claim is rejected

Step-by-step explanation:

Claim: UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13).

Null hypothesis: $H_0: \mu = 48500$

Alternate hypothesis : $H_a : \mu \neq 48500$

n = 50

Since n is more than 30 .

So we will use Z test

x=43350

Standard deviation = 15000

$Z=\frac{x-\mu}{\frac{s}{\sqrt{n}}}\\Z=\frac{43350-48500}{\frac{15000}{\sqrt{50}}}\\Z=-2.42$

Refer the z table

p value = 0.00776

$\alpha = 0.01$

p value < $\alpha$

So, We are failed to accept null hypothesis

Hence The claim is rejected

5 0

3 years ago

You are dealt one card from a satndard 52-card deck. Find the probability of being dealt an ace or a 7

ruslelena [56]

Answer:

2/13 or 15.38%

Step-by-step explanation:

Number of Aces in a deck = 4

Number of 7s in a deck = 4

Number of cards in a deck = 52

Probability of A or 7 = (4 Aces + 4 Sevens) / 52 cards 8 cards / 52 cards

This simplifies to 2/13 or 15.38%

3 0

2 years ago