slope of y = 7x-100​

tan(x) = cot(x)

tan(x) = 1 / tan(x)

tan²(x) = 1

tan²(x) - 1 = 0

(tan(x) - 1) (tan(x) + 1) = 0

tan(x) - 1 = 0   or   tan(x) + 1 = 0

tan(x) = 1   or   tan(x) = -1

x = π/4 + nπ   or   x = -π/4 + nπ

where in both cases, n is any integer.

In the interval 0 < x < π, we get solutions:

• x = π/4 from the first family (when n = 0)

• x = 3π/4 from the second family (when n = 1)

So the equation has solutions x = π/4 or x = 3π/4.

Answer:

22.5

Step-by-step explanation:

How do you solve this question?

In order to find this answer, you must multiply the number given (30) by the percentage (75%). 75% is equal to .75. So, if you multiply 30 and 75%, you will get 22.5.

Hope this helps,

Philip

Brainliest always appreciated! <3

Answer:

About 13.32 Pounds

Step-by-step explanation:

First. take the total weight of the three boxes and divide it by the number of boxes.

10/3 = 3.33 and so on

Now we know each box ways 3.33 pounds.

Now multiply 4 boxes by 3.33 pounds.

4 x 3.33 = 13.32

So the answer should be about 13.32 pounds.

Answer:

13.3pounds

Step-by-step explanation:

if 3boxes = 10pounds

4boxes= ?

4×10= 40÷3

13.3pounds

Answer:

13 years.

Step-by-step explanation:

I don't understand the original equation you entered, so I'm going to use another one.

[tex]A = A_0e^k^t[/tex]

Where A = initial population

A₀ = current population

e = Euler's constant

k = rate of decrease

t = time in years

Let's start off with what we know.

Today there are 800 fish left:

A₀ = 800

There were 1800 fish 5 years ago:

t = -5

A = 1800

The equation now looks like [tex]1800=800e^-^5^k[/tex]

First we find the rate of decrease.

[tex]\frac{1800}{800} = e^-^5^k[/tex]

⇒ [tex]2.25 = e^-^5^k[/tex]

⇒ [tex]ln(2.25) = -5k[/tex]

⇒[tex]\frac{ln(2.25)}{-5}[/tex]=k

⇒ k = -0.1621

The question asks when it will drop below 100, so make it equal to 100.

⇒[tex]100=800e^-^0^.^1^6^2^1^*^t[/tex]

⇒[tex]100/800=e^-^0^.^1^6^2^1^*^t[/tex]

⇒[tex]ln(1/8)=-0.1621*t[/tex]

⇒[tex]\frac{ln(1/8)}{-0.1621}[/tex] = t = 12.821

To the nearest year this is 13.

Answer:

the answer would be 1800 feet

Answer:

11.19

Step-by-step explanation:

[tex]\sqrt{125.3} = 11.19374\\[/tex]

The hundreths place is the second digit to the right of the decimal point.

Since the number in the thousandths place is less than 5, the number in the hundreths place will remain as 9.

If the digit in the thousandths place had been 5 or greater, the answer would have been 11.20, as you would round the 9 up, consequently rounding the tenths place as well.

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Dilation changes the distance to the center of dilation by a factor equal to the scale factor.

Part A:

Point R is 2 grid squares left and 6 grid squares down from the center of dilation at (3, 7). So, point R' will be (3/2)(2) = 3 grid squares left and (3/2)(6) = 9 grid squares down from that center.

Likewise, point T is 2 square diagonals down and right of (3, 7), so T' will be 1 more square diagonal farther.

__

Part B:

As in Part A, the scale factor multiplies the distance from the center of dilation. L will be the midpoint between R and (-1, 9); M will be the midpoint between T and (-1, 9).

Answer:

15$

Step-by-step explanation:

Answer:

The parallel line should be y = 2x + 7

The equation of the line that passes through the point (8,-1) and is parallel to the line y = 2x – 4 is; y = 2x + 7

An equation is an expression that shows the relationship between two or more numbers and variables.

Given If the line is parallel to the line resembling the equation y = 2x - 4, it would mean that the line would have a similar slope,

m= 2

We know that Point-Slope Form:

y - y₁ = m(x - x₁)  

Point  (-2,3)

Then Slope m = 2

Now Write the equation as;

y - 3 = 2(x + 2)

This means the final equation is;

y = 2x + 7

Learn more about equations here;

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64

Step-by-step explanation:

Answer: 0.393 ; 0.9933

Step-by-step explanation:

Given that :

Mean lifetime follows an exponential distribution (m) = 6

a. What is the probability that the CPU fails in the next three years?

Using the poisson distribution formula :

1 - e^-λt

λ = 1/m = 1 / 6 = 0.1667

Probability of failure in next 3 years :

P(X < 3) = 1 - e^-λx

P(X < 3) = 1 - e^-0.1667*3

P(X < 3) = (1 - e^-0.5)

P(X < 3) = 1 - 0.6065306

P(X < 3) = 0.3934693

= 0.3935

b. Assume that your corporation has owned 10 CPUs for three years, and assume that the CPUs fail independently. What is the probability that at least one fails within the next three years?

Number of pc owned = 10

CPU failure is indepndent

Probability of atleast one fails :

1 - P(X ≥ 3)^n

P(X ≥ 3) = 1 - P(X < 3)

P(X ≥ 3) = 1 - 0.3935 = 0.607

Hence,

1 - P(X ≥ 3) = 1 - 0.6065^10

1 - P(X ≥ 3) = 1 - 0.0067345

1 - P(X ≥ 3) = 0.993265

= 0.9933

Answer:

A. (1/2)(4+i)= 2+ (1/2)i

Step-by-step explanation:

The equation 1/2(4+i) = 2+(1/2)i is the transformation if we multiply the complex number 4 + i with 1/2 option first is correct.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number:

= 4+i

Multiply it by 1/2

[tex]= \rm \dfrac{1}{2}(4+i)\\\\\rm =2+ \dfrac{1}{2}i[/tex]

[tex]\rm \dfrac{1}{2}(4+i) =2+ \dfrac{1}{2}i[/tex]

Thus, the equation 1/2(4+i) = 2+(1/2)i is the transformation if we multiply the complex number 4 + i with 1/2 option first is correct.

Learn more about the complex number here:

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Answer:

B I'm pretty sure

Step-by-step explanation:

Answer:

14.87

Step-by-step explanation:

because you multiply the pounds times how much money per pound to get 5.13 then you subtract that to get 14.87

hope it helps

L

Lllnubybybyyvybybybtcrxextvyb

Answer:

It is a parallelogram because it has either two or more sets of parallel lines

Answer:

Y = 7

Step-by-step explanation:

Answer:

B is the answer

Step-by-step explanation:

because Richard owes the bank more than Scott

Answer:

it is B

Step-by-step explanation: I just took the test but i got it wrong so it is B

Answer:

p  = 32

Step-by-step explanation:

Given expression:

             p  = [tex]\frac{8}{v}[/tex]  

Since v = [tex]\frac{1}{4}[/tex]  

Now insert the parameters and solve;

    p  = [tex]\frac{8}{\frac{1}{4} }[/tex]  

    p = 8  ÷  [tex]\frac{1}{4}[/tex]  

     p  = 8 x 4

    p  = 32

Answer:

here

Step-by-step explanation:

i played it till 3 am once

Answer:

$11.44

Step-by-step explanation:

Since half a pound of fudge costs $5.72, then you just have to multiply by 2

5.72 x 2 = 11.44

So one pound of fudge costs $11.44

Hope this helps :)

Answer:

I think it's $1.39 per ounce.

Step-by-step explanation:

Answer:

The answer is 1/3x-1

Step-by-step explanation:

Let's simplify step-by-step.

5/6x−7−(1/2x−6)

Distribute the Negative Sign:

=5/6x−7+−1(1/2x−6)

=5/6x+−7+−1(1/2x)+(−1)(−6)

=5/6x+−7+−1/2x+6

Combine Like Terms:

=5/6x+−7+−1/2x+6

=(5/6x+−1/2x)+(−7+6)

=1/3x+−1

Answer:

=1/3x−1

Answer:

since u said about i assume we round

67 to 70 ppl

23$ to 20$

70x20

1400 they payed around 1400$

accurate answer

67x23

1541$ they payed 1541$ exactly

Answer:

128 dollars

Step-by-step explanation:

You would multiply 60 (that's the percentage off) by 320 ( the price of the T.V) and then subtract the answer you got from multiplying the two from the original price of the T.v (320)

Hope this helps

Answer:

13.29 inch

Step-by-step explanation:

Given:

Square game board.

Area of square game board = 175 sq inch

To find:

The side length of the square board game.

Solution:

First of all, we need to know the formula for area of a square.

Let us have a look at the formula for area of a square.

[tex]Area = Side\times Side[/tex]

OR

[tex]Area = Side^2[/tex]

Putting value of area = 175 sq in and let us find the value of Side.

[tex]175=Side^2\\\Rightarrow Side = \sqrt{175}\\\Rightarrow Side \approx \bold{13.29\ inch}[/tex]

Therefore, the answer is:

The appropriate side length of the square game board = 13.29 inch

Answer:

A

Step-by-step explanation:

It cannot be B or C because you have to do the whole thing to the power of 8 not just one of them.

It cannot be D because the question means (5/9) x (5/9) etc 8 times not 8 x (5/9)

so it must be A

Answer:A

Step-by-step explanation:

Since the slope is 3, hence it passes through the point (-4.67, 0). Hence the equation of the line is y = 3x + 14.

A linear equation is in the form:

y = mx + b;

where m is the slope, b is the y intercept and y, x are variables.

Since f(0) = 14, hence the y intercept is 14, hence the graph passes through point (0, 14).

Also, since the slope is 3, hence it passes through the point (-4.67, 0). Hence the equation of the line is y = 3x + 14.

Therefore the graph is attached below.

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Answer:

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