The school says that no less than a third of the juniors went to prom. If 37 juniors went, what the minimum amount of juniors at the school?

Answer: 2.5 hours

Step-by-step explanation:

Answer:

(2,4)

Step-by-step explanation:

Answer: The answer is 10

Answer:

D. [tex]\frac{4x^{2} \sqrt{29}}{29}[/tex]

Step-by-step explanation:

Given the expression:

 [tex]\frac{40x^{2} \sqrt{x^{12} } }{10x^{2} \sqrt{29x^{8} } }[/tex]

divide by the common factor to have;

[tex]\frac{4\sqrt{x^{12} } }{\sqrt{29x^{8} } }[/tex] = [tex]\frac{4(x^{12}) ^{\frac{1}{2} } }{(29x^{8}) ^{\frac{1}{2} } }[/tex]

        = [tex]\frac{4x^{6} }{\sqrt{29}x^{4} }[/tex]

        = [tex]\frac{4x^{2} }{\sqrt{29} }[/tex]

Rationalize the denominator, we have;

[tex]\frac{4x^{2} }{\sqrt{29} }[/tex] x [tex]\frac{\sqrt{29} }{\sqrt{29} }[/tex]

So that,

[tex]\frac{4x^{2} \sqrt{29} }{29}[/tex]

Thus,

[tex]\frac{40x^{2} \sqrt{x^{12} } }{10x^{2} \sqrt{29x^{8} } }[/tex] = [tex]\frac{4x^{2} \sqrt{29} }{29}[/tex]

The correct option is D.

Answer:

1) Yes

2) No, this polynomial has complex roots

3) No, this polynomial has irrational roots

Step-by-step explanation:

a. Rational roots theorem provide a complete list of all roots of

f (x) = 4x² - 25

b. Rational roots theorem does not provide a complete list of all roots of

g (x) = 4x² + 25

c. Rational roots theorem does not provide a complete list of all roots of

h (x) = 3x² - 25

What is Function?

A relation between a set of inputs having one output each is called a function.

Functions are given as;

f (x) = 4x² - 25

g (x) = 4x² + 25

h (x) = 3x² - 25

Now,

a. f (x) = 4x² - 25

To find the roots we can set up 0,

f (x) = 4x² - 25 = 0

4x² - 25 = 0

4x² = 25

Divide by 4,

x² = 25/4

Take square root both side,

x = √25/4

x = ±5/2

Thus, The function has rational roots.

So, Rational roots theorem provide a complete list of all roots.

b) g (x) = 4x² + 25

To find the roots we can set up 0,

4x² + 25 = 0

4x² = - 25

Divide by 4,

x² = - 25/4

Taking square root,

x = √-25/4

x = ±5i/2

Thus, The function has complex roots.

So, Rational roots theorem does not provide a complete list of all roots.

c) h (x) = 3x² - 25

To find the roots we can set up 0,

3x² - 25 = 0

3x² = 25

Divide by 3,

x² = 25/3

x² = 8.333

Take square root both sides,

x = √8.333

x = ±2.89

Thus, The function has irrational roots.

So, Rational roots theorem does not provide a complete list of all roots.

Therefore,

a. Rational roots theorem provide a complete list of all roots of

f (x) = 4x² - 25

b. Rational roots theorem does not provide a complete list of all roots of

g (x) = 4x² + 25

c. Rational roots theorem does not provide a complete list of all roots of

h (x) = 3x² - 25

Learn more about the rational root theorem visit:

https://brainly.com/question/25216212

#SPJ5

Answer:

0.6

Step-by-step explanation:

add 0.1 to 0.5 giving you 0.6

the rest are 0.7, 0.8, 0.9,

hope this helps! <3

Answer:

1.17 x 10^2

Step-by-step explanation:

Im pretty sure its right

Answer:

The slope of the line perpendicular would be 5/2.

Step-by-step explanation:

It would be 5/2, because it is considered a negative reciprocal.

Answer:

The answer to the question provided is 0.432.

Answer:

3/12= 4/16

1/4= 2/8

1/2= 3/6

2/5= 4/10

there are other possible answers but these are just ones i know

Answer: The max distance is 4 miles but If you add it all together it's 8 miles in 60 mins (1 hour)

Step-by-step explanation:

Distance time graph shows that how the distance of the object changes with time. The average speed of Sadie is 8 miles per hour.

To solve this problem, we need to know about the distance-time graph.

Distance time graph shows that how the distance of the object changes with time.

Given information-

The graph given which shows the distance of Sadie from home over time as she goes for the afternoon walk.

The table attached below shows the distance of Sadie in each 15 minutes.

The total distance covered by the Sadie is,

[tex]=2+2+4\\=8[/tex]

Thus the distance covered by the Sadie is 8 miles.

The total time taken by Sadie to cover 8 miles distance is 60 minutes or 1 hour.

As it is not clear that what has to be find out in the given problem. Let assume that the average speed of Sadie has to be find out.

Thus the average speed is the ratio of total distance traveled to the total time taken. Thus,

[tex]v=\dfrac{8}{1} \\v=8[/tex]

Thus the average speed of Sadie is 8 miles per hour.

Learn more about the distance-time graph here;

https://brainly.com/question/19730285

Answer:

slope = -4

Step-by-step explanation:

slope formula is

slope = y2-y1/x2-x1

as we know that from the question x1 = 3 , y1 = 0

and x2 = 2 , y2 = 4

then put these equation in the slope formula and we get slope which is equal to (-4)

Answer:

it should be $100,000

Step-by-step explanation:

[tex]\huge\underbrace\red{Answer}[/tex]

Perimeter of the square = 4 × side

By substituting values,

⇒ 4 × 70m

➥ 280m

Perimeter of the rectangle = 2( length + Breadth)

By substituting values,

⇒ 2( 90m + 60m )

⇒ 2( 150m)

➥ 300m

Difference between perimeters of fields = Perimeter of Rectangular field - perimeter of square field

By substituting values,

⇒ 300m - 280m

➠ 20m

Answer:

The answer is [tex]y = - \frac{1}{4} x + \frac{9}{4} [/tex]

Step-by-step explanation:

❃Incase you forgot what the slope-intercept formula is ☟

[tex]y = mx + b[/tex]

❃Incase you also forgot, what the slope formula is ☟

[tex]m =  \frac{y_2 - y_1}{x_2 - x_1} [/tex]

☆ First: We are going to be solving for the slope.

[tex]m =  \frac{2- 3}{1 - ( - 3)} = \frac{ - 1}{4} = - \frac{1}{4} [/tex]

☆Second: We are going to find the y-intercept.

[tex]y = mx + b \\ 3 = - \frac{1}{4} ( - 3) + b \\ 3 = \frac{3}{4} + b \\ \frac{ - \frac{3}{4} = - \frac{3}{4} \: \: \: \: \: \: \: \: \: \: \: }{ \frac{ 9}{4} = b \: \: \: \: \: \: \: \: } [/tex]

☆Third: Plug in.

[tex]y = - \frac{1}{4} x + \frac{9}{4} [/tex]

Answer:

3

Step-by-step explanation:

n = (30-12) ÷ 6

n = 18 ÷ 6

n = 3

Answer:

the 1st answer is right

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

the answer is yellow one

Answer:

I'm pretty sure it c because pie is 3.14 and that time 3 would be a little over 9

Answer:

Books Galore has the lowest unit price

Step-by-step explanation:

if you divide main streets books, 10 ÷ $5.20 = $1.92

Books galore : 6 ÷ $3.60 = $ 1.66

Answer:

3/4

Step-by-step explanation:

divide each by 2

28/2 = 14

12/2 = 6

14/2 = 7

6/2 = 3

therefore 3/7

Answer:

It takes ( hours for 6 people to lay floors

Step-by-step explanation:

2=5 divide it and for one person it would take 1 1/2 so then times 1 1/2 by 6.

Answer:

Stefan originally paid $120 for the bicycle and helmet.

He made $72 by selling them to Jin.

Step-by-step explanation:

Given that:

Selling price of bicycle = $176

Selling price of helmet = $16

Total price = 176+16 = $192

This is 160% of what Stefan paid originally.

Let,

x be the original amount paid by Stefan.

160% of x = 192

[tex]\frac{160}{100}x=192\\1.6x=192[/tex]

Dividing both sides by 1.6

[tex]\frac{1.6x}{1.6}=\frac{192}{1.6}\\x=120[/tex]

Original amount paid by Stefan = $120

Profit = 192 - 120 = $72

Hence

Stefan originally paid $120 for the bicycle and helmet.

He made $72 by selling them to Jin.

Answer:

Shirt: $7.5

Sweater: $17.5

Step-by-step explanation:

25/2=12.5

Shirt is 5 less than Sweater

12.5-5=7.5

Add 5 to sweater cost

12.5+5=17.5

Shirt=7.5 Sweater=17.5

17.5+7.5=25

Answer:

I think its 10 but I'm not certain

Answer:

c

Step-by-step explanation:

Answer:

15.4

Step-by-step explanation:

cos A = b^2 + c^2 - a^2 / 2bc

cos X = 98^2 + 95^2 - 26^2 / 2(98) (95)

cos X  = 17953 / 18620

cos X = 0.964

X = cos^-1 (0.964) = 15.38 = 15.4