A builder has metal rods that are each 3.73 centimeters long. If he puts 8 of them in a line, how long will the line be?

After evaluating the limit we get the answer as 3/5.

Given the expression is : limₓ₋₋₎₀ cos 2x ₋ cos 4x/1-cos2xcos4x

= limₓ₋₋₎₀  cos2x - (2cos²2x ₋ 1)/1-cos2x(2cos²2x - 1)

= limₓ₋₋₎₀  -2cos² + cos2x +1/₋2cos³2x + cos2x + 1

let u =cos2x that is, u → 0

= limu₋₋₎₁  -2u²+u+1/₋2u³+u+1

= limu₋₋₎₁  2u + 1/2u²+2u+1

= 2+1/2×1² + 2 × 1 +1

= 3/2+2+1

= 3/5

hence we get the value as 3/5.

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Answer:

x=3.91

Step-by-step explanation:

29.46=13.82+4x

13.82+4x=29.46

subtract 13.82 from both sides

4x=15.64

divide by 4

x=3.91

Answer:

I would say A?

Step-by-step explanation:

if i'm not right im sorry :(

Answer:

3:12

Step-by-step explanation:

3 + 2 + 7 = 12

3 = red marbles

12 = total marbles

Answer:

Probability of both red =3(182)=3(18!2!16!)=3153

Step-by-step explanation:

Let Ai be the event in which the i-th ball you grab is red. For the first ball you choose, you have 3 red marbles out of a total of 18. Therefore,

P(A1)=318.

For the second marble you grab, given that you already took a red one, that is, given A1, you have 2 red balls out of a total of 17, then

P(A2∣A1)=217.

Finally,

P(A1∩A2)=P(A1)P(A2∣A1)=318217=151.

Answer:

Non-proportional

Step-by-step explanation:

because it has a y-intercept of 2 in order for it to be proportional its y-intercept should be 0.

Answer:

I think its C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Fuji Apples: 7/6 = $1.16

Golden Delicious Apples: 1/0.75 = 100/75 = $1.33

Macintosh Apples:  $2

Hope this helps!      :3

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Answer:

(x-7, y+3)

Step-by-step explanation:

y+3 because the translated image goes up three

-you just have to count the dots.... its ez

After putting the value of y into the eq. (ii) ,

[tex] \sf 3x + 2 \times 5x = 52[/tex]

[tex] \sf ⇒ \: 3x + 10x = 52[/tex]

[tex]⇒ \sf13x = 52[/tex]

[tex] \sf ⇒x = 4[/tex]

After putting the value of x into the eq. (1)

[tex] \sf \: y = 5 \times 4[/tex]

[tex]⇒ \sf y = 20[/tex]

Hence, the value of x is 4

& the value of y is 20.

Given:

Cecile uses [tex]\dfrac{1}{3}[/tex] of her supply of sunflower seeds to make a salted snack mix and [tex]\dfrac{2}{9}[/tex] of her supply to make an unsalted snack mix.

Cecile uses 10 pounds of sunflower seeds.

To find:

The total pounds of seeds in her supply.

Solution:

Let x be the total pounds of seeds in her supply.

Cecile uses [tex]\dfrac{1}{3}[/tex] of her supply of sunflower seeds to make a salted snack mix, i.e., [tex]\dfrac{1}{3}x[/tex].

Cecile uses [tex]\dfrac{2}{9}[/tex] of her supply to make an unsalted snack mix, i.e., [tex]\dfrac{2}{9}x[/tex].

Total sunflower seeds used = 10 pounds.

[tex]\dfrac{1}{3}x+\dfrac{2}{9}x=10[/tex]

[tex]\dfrac{3x+2x}{9}=10[/tex]

[tex]5x=10\times 9[/tex]

[tex]5x=90[/tex]

Divide both sides by 5.

[tex]x=18[/tex]

So, there are 18 pounds of seeds in her supply.

Therefore, the correct option is A.

option C

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Answer:

added 9dollar inestend of 9.5%

Step-by-step explanation:

Answer:

150 has to be times 40

Step-by-step explanation:

150×40+25÷35=1

Answer:

6.1

Step-by-step explanation:

hope this helps :D pls mark brainliest :D

the distance between the two number is 6.1

Step-by-step explanation:

Area of parallelogram = base * height

Area = 7*9

Area = 63 yd^2

Answer:

Step-by-step explanation:

Here,

So,

We know that,

Area of Parallelogram = b × h

→ 7 × 9

→ 63yd²

Thus,

Answer: i think it is A pls correct me if i'm wrong :)

Step-by-step explanation:

perimeter = 2(x - 6y) + 2(8x² - x - 4y)

2x - 12y + 16x² - 2x - 8y

= 16x² - 20y units

Answer:

-30 feet

Step-by-step explanation:

What we know:

The rollercoaster first rose 210 feet, so after rise 1, the height is +210 feet.

After that, it dropped 240 feet. This is greater than the 210 feet it initially rose, so the number is now negative. The height is now -30 feet.

210 - 240 = -|240-210| = -|30| = -30 feet

After that, it rose another 80 feet. That outdoes the eariler -30 feet, so we're back to a positive height. After that rise, the height is now +50 feet.

-30 + 80 = |80 - 30| = |50| = 50 feet

Then the last two drops combine for a 80-foot drop. This is greater than the +50-foot height it was at, so we're back at -30 feet.

50 - 80 -|80 - 50| = -|30| = -30 feet after the last drop

Answer:

We conclude that:

Step-by-step explanation:

Given that

Thus, the equation becomes

[tex]14n + 17(6-n) = 99[/tex]

[tex]14n + 102 - 17n = 99[/tex]

[tex]-3n = 99 - 102[/tex]

[tex]-3n = -3[/tex]

Divide both sides by -3

[tex]n = 1[/tex]

and

[tex]6-n = 6-1 = 5[/tex]

Therefore, we conclude that:

Answer: The interest customer earn in 20 years will be, $ 660

Step-by-step explanation :

Given:

Principle = $3000

Interest rate = 1.1 %

Time = 20 years

Now we have to determine the simple interest.

Formula used :

where,

P = principle

R = interest rate

T = time

S.I = simple interest

Now put all the given values in the above formula, we get:

Thus, the interest customer earn in 20 years will be, $ 660

Hoped this help :) I’m also a fan of flimflam

Answer:

the interest that have to paid is $9,676.91

Step-by-step explanation:

The computation of the interest to be paid is as follows:

= Future value - initial value

= $10,200 × (1 + 0.21)^3.5 - $10,200

= $19,876.91 - $10,200

= $9,676.91

Hence, the interest that have to paid is $9,676.91

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Answer:

Step-by-step explanation:

7x+17+8x+2)

7x+17+8x+2

7x+8x+17+2

15x+19.

Answer:

960

Step-by-step explanation:

60× 2

120×2

240×2

480 ×2 = 960

Answer:

y= 10x - 46

Step-by-step explanation:

slope intercept form model: y=mx+b

An exponential function with a horizontal asymptote at y = -2 will be of the form:

f(x) = 2^(-x) - 2

An exponential equation will have a horizontal asymptote when the exponent, x, has a negative sign. This will cause that as x tends to infinity, the exponential part of the function will tend asymptotically to zero.

Now, if we want to have an horizontal asymptote at y = -2, then we also need to have a constant term equal to -2 which takes weight as x tends to infinity, and the other part of the function becomes almost zero.

So the function will be something like:

f(x) = 2^(-x) - 2

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the exponential function that has a horizontal asymptote at y = –2 is

D. f (x) = –2x – 2

100% correct

The result of the multiplication is the value of x (9x-3)​ is:  9x² - 3x.

Here, we have,

given that,

the expression is:  x (9x-3)​

now we need to find the value of x (9x-3)​

we have,

x (9x-3)​

=> x × (9x-3)​

so, we have to multiply this two terms.

now, we get,

=> x × (9x) - x × 3

=> 9x² - 3x

Hence, The result of the multiplication is the value of x (9x-3)​ is:  9x² - 3x.

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