A student bought 44 pencils for school. if he sharpened 8 of the pencils before school, what is his ratio of unsharpened pencils to sharpened pencils
​

Answer:

391 × 5 = 1955

621 × 3 = 1863

481 × 7 = 3367

531 × 6 = 3186

981 × 2 = 1962

761 × 9 = 6849

581 × 8 = 4648

431 × 3 = 1293

271 × 4 = 1084

821 × 4 = 3284

a) The value of  [tex]\theta[/tex] as a function of "x" is [tex]\theta = tan^{-1}\frac{250}{x}[/tex]

b) The rate of change of the angle with respect to x is -0.000308rad/m

Find the complete question and diagram attached

Form the right-angled triangle shown:

Adjacent side = x

Opposite side = 250m

angle of elevation  = [tex]\theta[/tex]

Using the SOH CAH TOA identity

[tex]tan\theta = \frac{opposite}{hypotenuse} \\tan \theta = \frac{250}{x} \\\theta = tan^{-1}\frac{250}{x}[/tex]

Hence the value of  [tex]\theta[/tex] as a function of "x" is [tex]\theta = tan^{-1}\frac{250}{x}[/tex]

b) If x = 450m

[tex]\theta = tan^{-1}\frac{250}{x}\\tan \theta = \frac{250}{x}\\[/tex]

Differentiate both sides with respect to "x"

[tex]sec^2 \theta \frac{d\theta}{dx} = \frac{-250}{x^2} \\ \frac{d\theta}{dx} = \frac{1}{sec^2\theta} \times \frac{-250}{x^2}[/tex]

Substitute x = 450m and [tex]\theta = 60^0[/tex] into the resulting expression to have:

[tex]\frac{d\theta}{dx} = \frac{1}{sec^260^0} \times \frac{-250}{450^2}\\\frac{d\theta}{dx} = (cos60)^2\times \frac{-250}{202,500}\\\frac{d\theta}{dx} = 0.5^2\times \frac{-250}{202,500}\\\frac{d\theta}{dx} =-0.000308[/tex]

Hence the rate of change of the angle with respect to x is -0.000308rad/m

Learn more here: https://brainly.com/question/15580615

Answer:

75 squares

Step-by-step explanation:

ovals is proportional to the number of squares

75​ ovals = 75 squares * constant of proportionality ( this could be any number)

so for 75 ovals we can have

75 squares ,

or 2*75 = 150 squares ,

or we could have .6 *75 = 45 squares

Answer:

75 squares

Step-by-step explanation:

ovals is proportional to the number of squares

75​ ovals = 75 squares * constant of proportionality ( this could be any number)

so for 75 ovals we can have

75 squares ,

or 2*75 = 150 squares ,

or we could have .6 *75 = 45 squares

Answer:

huh rewrite the question

Answer:

The equation is:

y = 5/4x + 25/2

Step-by-step explanation:

Answer:

Third option

Step-by-step explanation:

[tex]7x (3 + \frac{x}{4}) = -56 * (3 + -\frac{8}{4}) = -56 * (3 - 2) = -56 * 1 = -56[/tex]

Answer:

27

Step-by-step explanation:

start with {5*(13-8)+12/6}

simplify to get:

(5*5)+12/6

simplify to get:

25+12/6

simplify to get:

25+2

simplify to get your answer:

27

Rs. 250000 was the price of the refrigerator.

Let x represent the price of the refrigerator.

Since she made a Rs. 40,000 down payment. On delivery paid another Rs. 80,000 and owed 60% of the purchased price. Hence:

Total Money paid = 100% - 60% = 40% of purchased price

40000 + 60000 = 40% of x

100000 = 0.4x

x = Rs. 250000

Hence, Rs. 250000 was the price of the refrigerator.

Find out more at: https://brainly.com/question/20418815

Answer:

confirm is the correct answer

Plz mark as Brainliest

Answer:

x=-5

Step-by-step explanation:

move the x to the other side. Then move the - 23. you get -x=5

you divide by -1 and you get x=-5

Step-by-step explanation:

Given equation,

-23 = x - 18

⇛-23 + 18 = x

⇛ -5 = x

⇛x = -5 Ans.

Hence, the value of "x" is -5.

it's in the attachment hope it helps you

Using translation concepts, it is found that the correct option, which represents the transformation made to function [tex]g(x) = 8|x - 15| - 30[/tex], is given by:

D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.

The parent function is:

[tex]p(x) = |x|[/tex]

The first transformation was [tex]x \rightarrow x - 15[/tex], which means that it was shifted 15 units to the right.

Then, the function was multiplied by 8, which means that it was stretched vertically by a factor of 8.

Finally, 30 was subtracted from the function, which means that it was shifted down 30 units.

Hence, the correct option is given by:

D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.

A similar problem is given at https://brainly.com/question/18405655

6/4=1.5=14*1.5=21

21 minutes

Answer:

Cam

Step-by-step explanation:

Cam first multiplied both sides by 3 which removed the fraction on the left. They then correctly added 5 to both sides to get x on its own.

Hope this helps!

Step-by-step explanation:

subtrack the 4 inbetween the inequalities to both sides.

Answer:

1.501877347

Step-by-step explanation:

estamate or whaever u need to do

Answer:

Step-by-step explanation:

125x37=4625

Answer:

7.81

Step-by-step explanation:

Step-by-step explanation:

[tex]distance = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } [/tex]

Now, substitute the numbers into the equation,

[tex] \sqrt{(2 + 4) ^{2} +( 5 - 0)^{2} } [/tex]

distance = 7.81

brianlist me??

Answer:

17 units

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer:

The number is 20

Step-by-step explanation:

x represents the missing number

The equation would be:

[tex]\frac{x-5}{6} =-4[/tex]

Then isolate the variable and solve,

First multiply both sides by 6...

[tex]x-5=-25[/tex]

Add 5 to both sides.

x=20

Answer:

[tex]8(3x + 10) = 28x - 14 - 4x \\ 8 \times 3x + 8 \times 10 = 28x - 14 - 4x \\ 24x + 80 = 24x - 14 \\ 0x = 94 \\ x = > has \: no \: solution[/tex]

Using the profit concept, it is found that the break-even point is of 61.6 units.

In this problem:

[tex]C(x) = 217x + 5420[/tex]

Selling price per unit of $305, thus, the revenue equation is given by:

[tex]R(x) = 305x[/tex]

The break-even point is the value of x for which:

[tex]R(x) = C(x)[/tex]

Then

[tex]305x = 217x + 5420[/tex]

[tex]88x = 5420[/tex]

[tex]x = \frac{5420}{88}[/tex]

[tex]x = 61.6[/tex]

The break-even point is of 61.6 units.

A similar problem is given at https://brainly.com/question/4001746

Answer:

5hj

m5Step-by-step explanation:

Part A

The equation is g = -2.5m + 20

The +20 represents us starting with 20 gallons. The -2.5m portion indicates losing 2.5 gallons per minute. So after m minutes, we'll have -2.5m+20 gallons left.

The smallest m can be is m = 0

Let's plug in g = 0 and solve for m to find the largest possible m value

g = -2.5m + 20

-2.5m + 20 = g

-2.5m + 20 = 0

-2.5m = -20

m = (-20)/(-2.5)

m = 8

At the 8 minute mark is when g = 0. So this is when the tub is completely empty. We cannot go beyond this point because g would become negative. So m = 8 is the largest m can get.

This means m is between 0 and 8, including both endpoints.

The domain is [tex]0 \le m \le 8[/tex]

The domain is continuous because the number of minutes is continuous. We cannot have a jump in time from something like m = 1 to m = 2 without values in between. In other words, to go from m = 1 to m = 2, we need to pass by something like m = 1.5

No matter what two values you pick in the interval mentioned, there is always going to be some midpoint and infinitely many other values to deal with.

-------------------------

Answers:

======================================================

Part C

See the graph below. The table is included as well.

To generate the table, we select values of m from the domain found earlier. I'm using whole numbers for m, but you can use any real number you want from that interval.

Let's say we picked m = 2

That would mean,

g = -2.5m + 20

g = -2.5*2 + 20

g = -5 + 20

g = 15

So at the 2 minute mark, the tub will have 15 gallons left. That means we'll have a row with m = 2 and g = 15 pair up together. The rest of the table is generated in a similar fashion.

Once the table is set up, you plot all of the points and draw a line through them to complete the graph.

Because we're dealing with a linear function, we only need 2 points at minimum to graph it. However, you can generate as many points as you want. It could be good practice.

Side note: Stuff to the left of m = 0 and stuff to the right of m = 8 is not graphed, as these portions are not in the domain.

Answer:

:P

Step-by-step explanation:

:P

Answer:

15 cups of orange juice

Step-by-step explanation:

Let u be 1 unit.

5u = 25 cups

u = 25÷5

= 5

3u = 5×3

= 15

Answer:

The answer would be 7 I hope this helps! : )

Answer:

it's 2

Step-by-step explanation:

if we solve 3×2×1/3

then we will get 2 .

Answer: 31 1/2

I hope this helps I would appreciate brainliest if possible :)

Answer:

7452

Step-by-step explanation:

Answer:

Sample Response: First, write 828 as a sum of 800 + 20 + 8. Next, multiply each number by 9. Add the products to get 7,452.

Step-by-step explanation: edge 2021