URGENT PLEASE HELP
Write an equation of the line passing through the point (-5, - 7) with slope m=6.
A y = 6x + 23
B y = 1/6x +37/6. C y equals 1/6x +23/6. D y = 6x + 37

Answer:

A≈314.16

Step-by-step explanation:

a circle's diameter is 2 x radius

20/2 = radius

Area formula: A=πr^2

A=π 10^2

A≈314.16

Answer: 5/7 of the kids chose New York or L.A.

Step-by-step explanation:

All you need to do in this problem is add the fraction of people that chose New York and the fraction of people that chose L.A:

4/7 + 1/7 = 5/7

The approximate height of the pole in centimeters is 17,500 centimeters.

We have,

Let's start by calculating the total length of the pole, which is buried plus the part that protrudes from the ground.

We know that the part that protrudes is 25 meters and that it represents one-seventh of the total length.

25 = L/7

where L is the total length of the pole.

We can solve for L by multiplying both sides of the equation by 7:

L = 7 x 25

  = 175 meters

Now we need to convert this length to centimeters.

Since 1 meter is equal to 100 centimeters,

175 meters x 100

= 17,500 centimeters

Therefore,

The approximate height of the pole in centimeters is 17,500 centimeters.

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The complete question.

The Clarisse company, dedicated to the telephone business, is expanding its coverage, due to this, it is placing poles, where the seventh part of a pole is buried, and protrudes 25 meters from the ground. Calculate the approximate height of the pole in centimeters.

To simplify the expression 3(sin⁸ - cos⁸) + 4(cos⁶ - 2sin⁶), we'll use the identity for the difference of squares and the identity for the square of a binomial.

First, let's focus on the expression sin⁸ - cos⁸. We can rewrite this using the identity for the difference of squares as follows: sin⁸ - cos⁸ = (sin⁴)² - (cos⁴)² = (sin⁴ + cos⁴)(sin⁴ - cos⁴) Next, we can use the identity for the square of a binomial, which states that

(a + b)² = a² + 2ab + b²,

to expand

(sin⁴ + cos⁴)² as follows:

(sin⁴ + cos⁴)² = sin⁸ + 2sin⁴cos⁴ + cos⁸

Now we can substitute

sin⁸ - cos⁸ with (sin⁴ + cos⁴)(sin⁴ - cos⁴)

and simplify:

sin⁸ - cos⁸ = (sin⁴ + cos⁴)(sin⁴ - cos⁴) = (sin⁴ + cos⁴)(sin⁴ + cos⁴)(sin² - cos²)

= (sin⁴ + cos⁴)(sin² - cos²)² = (sin² + cos² - 2sin²cos²)(sin² - cos²)² = (1 - 2sin²cos²)(sin² - cos²)²

Now we can substitute this expression into our original equation:

3(sin⁸ - cos⁸) + 4(cos⁶ - 2sin⁶) = 3(1 - 2sin²cos²)(sin² - cos²)² + 4(cos⁶ - 2sin⁶)

We can further simplify by factoring out 2sin² from the second term:

3(1 - 2sin²cos²)(sin² - cos²)² + 4(cos⁶ - 2sin⁶) = 3(1 - 2sin²cos²)(sin² - cos²)² + 4(2sin²cos²cos⁴ - 2sin⁶) = 3(1 - 2sin²cos²)(sin² - cos²)² + 8sin²(cos⁴ - sin⁴)

This is the final simplified form of the expression.

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Answer: Dawn's score is 4

Answer: 4

brainlist pls???

Step-by-step explanation:

7-21=14

14-10=4

a) At t = 0days : 300insects

b) The growth rate is 5.12% each day.

c) Population after 10days: P(10) =494.61

d) The population to reach 420 is equals roughly 70.129 hours

e) The insect population double in  t=6.020 days , which is 144.48 hours.

What is Population?

Any whole group that shares at least one trait is referred to be a population. People do not make up all populations. Populations can include, but are not limited to, individuals, animals, organizations, structures, buildings, cars, farms, objects, or occasions.

Given: t in days, P(t)=300e(0.05t).

(a) The total number of insects at time t=0 days is equal to

P(0)=300(1)

P(0) =300.

(b) The growth rate is calculated as the percentage increase over time, which is equal to-

P(t+1)/P(t)=300e(0.05(t+1))/300e(0.05t)

P(t+1)/P(t) =e^(0.05(1))

P(t+1)/P(t) =1.0512

Therefore, the growth rate is 5.12% each day.

(c) Population after 10 days.

P(10)=300e^(0.05*10)

P(10) =300(1.6487)

P(10) =494.61

(d) When P(t)=420, the population will reach 420,

or 300e0.05t=420,

take log

0.05t=log(1.4), or

t = 2.922 days,

for the population to reach 420.

equals roughly 70.129 hours

(e) When P(t)=2*300=600 the population will double.

300e^(0.05t)=600

=> e^(0.05t)=600/300=2

Take log

(log 0.05t=log(2)),

t=6.020 days , which is 144.48 hours.

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Step-by-step explanation:

=4(x)+4(-7)-2(x)-2(1) = -10

= 4x-28-2x-2= -10

therefore the third equation is equivalent to the given equation..all you need is to simplify.

Hope this Helps!!!

Answer:

The equivalent angle on the first quadrant is 44º. On the second quadrant, it is the given angle of 146º.

The equivalent angle on the third quadrant is 214º.

The equivalent angle on the fourth quadrant is 316º.

Step-by-step explanation:

On the first quadrant:

The equivalent in the second quadrant of a angle on the first quadrant a is 180 subtracted by the angle, that is, 180 - a.

In this question, the reference angle is 146º, which is on the second quadrant.

So, on the first quadrant:

146 = 180 - a -> a = 180 - 146 = 44.

The equivalent angle on the first quadrant is 44º. On the second quadrant, it is the given angle of 146º.

Third quadrant:

The equivalent angle on the third quadrant is 2 multiplied by 180 and subtracted by the second quadrant angle. So

2*180 - 146 = 360 - 146 = 214º.

The equivalent angle on the third quadrant is 214º.

Fourth quadrant:

The equivalent angle on the fourth quadrant is 360 subtracted by the angle on the first quadrant. So

360 - 44 = 316º

The equivalent angle on the fourth quadrant is 316º.

Answer:

The linear equation satisfying the given condition is,

\(x=t+15\)

where x is Ravi's age and t is the number of years

(after 10 years (t=10) his age becomes 25)

Step-by-step explanation:

Let x be Ravi's age

Now, his  current age is unknown, but if you add 10 to it, then it becomes 25, so

x + 10 =25

so, his current age is x = 25 =10

x = 15

Now, we find the linear equation satisfying the given condition,

Let t be the number of years that have passed since the present time

so, if 0 years have passed, his age will be 15 years

after 1 year, his age will be 16 years

after 10 years, his age will be 25 years and so on

so

\(x = t + 15\)

this satisfies the given condition, since if we add ten years i.e t = 10,

then we get 25

The equation is:

Work/explanation:

Here's the linear equation for Ravi's age.

Ravi's age is x.

If you add 10 to x you get x + 10.

That gives 25.

So the linear equation is x + 10 = 25.

According to the given data the equation of the new function is (D) f(x) = 2x - 4.

An equation is a mathematical statement that indicates that two expressions are equal. It contains an equals sign "=" and may involve variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, etc.

If we translate the function h(x) = 2x - 9 up by 5 units, the new function f(x) will have the form:

f(x) = h(x) + 5

Substituting the definition of h(x) into this equation, we get:

f(x) = 2x - 9 + 5

Simplifying, we have:

f(x) = 2x - 4

Therefore, the equation of the new function is (D) f(x) = 2x - 4.

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Answer:

False

Step-by-step explanation:

Just because two rays share a common endpoint does not make them opposite rays.

Two rays with a common endpoint can form hundreds of different angles, but are only classified as opposite rays if they form a 180° angle (aka a straight line).

Answer:

false

Step-by-step explanation:

person above me explains it

Answer: slove it like i said

Step-by-step explanation:

Answer:

Y=2, E=9, A=1, R=0

Step-by-step explanation:

1000Y+100Y+10Y+Y-100E-10E-E+10A+A-R=1234

1111Y-111E+11A-1R=1234

Y cannot be 1, and it cannot be greater than 2, since the other digits could not possibly make it add up to 1234. This means that Y must be 2:

2222-111E+11A-R=1234

In this case, E would have to be 9 to make it possible for this to have a solution, by bringing it down to 1223.

1223+11A-R=1234

1223+11=1234, meaning that A must be 1 and that R must be 0. Hope this helps!

Answer:

The values of Y, E, A, R are "2, 9, 1, 0"

Step-by-step explanation:

The given equation is:

⇒  YYYY-EEE+AA-R=1234

Let the values,

Y=2

E =9

A =1

R =0

On substituting the estimated values in the L.H.S of the given equation, we get

⇒ 2222 - 999 + 11 - 0

⇒  1223 + 11

⇒  1234 i.e.. R.H.S

so ig Y.E.A.R will be 2 9 1 and 0

The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.

Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.

This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.

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Answer:  $130 money did Brenda and Hazel have all together before buying decorations and snacks.

Here, we have,

You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.

Setup

Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...

 (x/2 -58) : (x/2 -37) = 1 : 4

Solution

Cross-multiplying gives ...

 4(x/2 -58) = (x/2 -37)

 2x -232 = x/2 -37 . . . . . . eliminate parentheses

 3/2x = 195 . . . . . . . . . . . . add 232-x/2

 x = (2/3)(195) = 130 . . . . . multiply by 2/3

Brenda and Hazel had $130 altogether before their purchases.

Alternate solution

The difference in their spending is $58 -37 = $21.

This is the same as the difference in their final balances.

That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7.

Their ending total is 1+4 = 5 ratio units, or $35.

The total they started with is $58 +37 +35 = $130.

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complete question:

Brenda and Hazel decide to throw a surprise party for their friend, Aerica. Brenda and Hazel each go to the store with the same amount of money. Brenda spends $58 on decorations, and Hazel spends $37 on snacks. When they leave the store, the ratio of Brenda’s money to Hazel’s money is 1 : 4. How much money did Brenda and Hazel have all together before buying decorations and snacks?

The angle between u and v is approximately 26.6 degrees.

To find the angle between two vectors, u and v, we can use the dot product formula:

u · v = ||u|| ||v|| cosθ

where u · v represents the dot product of u and v, ||u|| and ||v|| represent the magnitudes of u and v respectively, and θ represents the angle between the vectors.

Given that u = (8, -2) and v = (5, -5), we can calculate the dot product as follows:

u · v = (8 * 5) + (-2 * -5) = 40 + 10 = 50

Next, we find the magnitudes of u and v:

||u|| = √(8^2 + (-2)^2) = √(64 + 4) = √68 ≈ 8.246

||v|| = √(5^2 + (-5)^2) = √(25 + 25) = √50 ≈ 7.071

Substituting these values into the dot product formula:

50 = 8.246 * 7.071 * cosθ

Simplifying, we have:

cosθ = 50 / (8.246 * 7.071) ≈ 0.899

Taking the inverse cosine (arccos) of 0.899, we find:

θ ≈ 26.6 degrees

Therefore,To find the angle between two vectors, u and v, we can use the dot product formula:

u · v = ||u|| ||v|| cosθ

where u · v represents the dot product of u and v, ||u|| and ||v|| represent the magnitudes of u and v respectively, and θ represents the angle between the vectors.

Given that u = (8, -2) and v = (5, -5), we can calculate the dot product as follows:

u · v = (8 * 5) + (-2 * -5) = 40 + 10 = 50

Next, we find the magnitudes of u and v:

||u|| = √(8^2 + (-2)^2) = √(64 + 4) = √68 ≈ 8.246

||v|| = √(5^2 + (-5)^2) = √(25 + 25) = √50 ≈ 7.071

Substituting these values into the dot product formula:

50 = 8.246 * 7.071 * cosθ

Simplifying, we have:

cosθ = 50 / (8.246 * 7.071) ≈ 0.899

Taking the inverse cosine (arccos) of 0.899, we find:

θ ≈ 26.6 degrees

Therefore, the angle between u and v is approximately 26.6 degrees.

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The angle opposite to the two congruent sides of an isosceles triangle are congruent.

To prove that the angles opposite the two congruent sides of an isosceles triangle are congruent, we can use the following steps:

This completes the proof of the theorem

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Answer:

Step-by-step explanation:

The volume of this pyramid in cubic inches is 16.

Given that,

The base and height is 8 and 6.

Based on the above information, the calculation is as follows:

The volume is

= 16

Answer:

Step-by-step explanation:

$100x0.5x1=$5

Answer:

None of the choices are correct

Stefofp-by-step explanation:

Simplify the following:

(-6 x^3 y^4 + 9 x^8 y^2)/(3 x y)

Factor 3 x^3 y^2 out of -6 x^3 y^4 + 9 x^8 y^2:

(3 x^3 y^2 (-2 y^2 + 3 x^5))/(3 x y)

(3 x^3 y^2 (-2 y^2 + 3 x^5))/(3 x y) = 3/3×(x^3 y^2 (-2 y^2 + 3 x^5))/(x y) = (x^3 y^2 (-2 y^2 + 3 x^5))/(x y):

(x^3 y^2 (-2 y^2 + 3 x^5))/(x y)

Combine powers. (x^3 y^2 (-2 y^2 + 3 x^5))/(x y) = x^(3 - 1) y^(2 - 1) (-2 y^2 + 3 x^5):

x^(3 - 1) y^(2 - 1) (-2 y^2 + 3 x^5)

3 - 1 = 2:

x^2 y^(2 - 1) (-2 y^2 + 3 x^5)

2 - 1 = 1:

Answer:  x^2 y (-2 y^2 + 3 x^5)

Answer:

Length: 18

Width: 16

Step-by-step explanation:

Answer:

No, the distance of the ladder from the base of the chimney is 20 feet.

Step-by-step explanation:

9514 1404 393

Answer:

  b.  255.5 to 499.5

Step-by-step explanation:

The middle 50% is the range between the first and third quartiles. In this group of 9 numbers, the first quartile is the average of numbers 2 and 3 when the numbers are listed from smallest to largest.

  first quartile = (230 +281)/2 = 255.5 . . . . . . matches answer choice B

The third quartile is the average of numbers 7 and 8:

  third quartile = (468 +531)/2 = 499.5 . . . . .  also matches answer choice B

The middle 50% is 255.5 to 499.5.

_____

When I put the numbers in order, I get ...

  198 230 ^ 281 246 376 426 468 ^ 531 540

^ indicates that the quartile here is the average of the adjacent numbers

bold indicates the median (2nd quartile)

The value of x in the equation is 2.10.

The exponential equation above can be solved as follows:

\(8^{\frac{4}{x} } = 53\)

Therefore, let's log both sides

log \(8^{\frac{4}{x} }\) = log 53

Hence,

4 / x log 8 = log 53

divide both sides by log 8

4 / x = log 53 / log 8

4 / x = 1.7242758696 / 0.90308998699

4 / x = 1.9092439208

cross multiply

1.902x = 4

x = 4 / 1.902

x = 2.09511837419

Therefore,

x = 2.10

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Answer:

2/21

Step-by-step explanation: