Line k passes through the point (6, -7) and has a slope m= -1/2.
Which is the equation of a line that is perpendicular to line k and passes through the
point (-4, 9)?

Answers

Answer 1

Answer:

y = 2x + 17

Step-by-step explanation:

lmk if you want an explanation


Related Questions

How many minuteds does it take to make one balloon sculpture? How many balloons are used in one sculpture

Answers

Answer:

It will take 5 minutes to make one balloon structure. 7 balloons are used in 1 sculpture For part b the answer would be: Tom's unit rate for balloons used per minute would be 1.4

Step-by-step explanation:

The probability that an 80-year-old male in the U.S. will die within one year is approximately 0.069941. If an insurance company sells a one-year, $12,000 life insurance policy to such a person for $495, what is the company's expectation

Answers

The company's expectation is $486.26.

Since the probability that an 80-year-old male in the U.S. will die within one year is approximately 0.069941, to determine, if an insurance company sells a one-year, $ 12,000 life insurance policy to such a person for $ 495, what is the company's expectation, the following calculation must be performed:

(12000 x 0.069941 / 100) + (495 x (100 - 0.069941) / 100) = X -8.39292 + 494.65379205 = X 486.26 = X

Therefore, the company's expectation is $486.26.

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A nut mixture of peanuts and macadamia nuts at a small fair is $1.00 per pound of peanuts and $3.26 per pound of macadamia nuts. Over the
entire day, 131 pounds of the nut mixture were sold for $248.52. If p is the number peanuts and n is the number of macadamia nuts, then the
system of equations that models this scenario is:

p+n=131
P+3.26n = 248.52

ANSWER CHOICES:

(Please help it would mean everything to me. I’d give brainliest <3)

Answers

Answer:

D

Step-by-step explanation:

You can infer to the solution of this problem by looking at the choices. Hope this helped :)

-5+i/2i ????
please help!

Answers

[tex]-5+\frac{i}{2i} = -5+\frac{1}{2}=-\frac{9}{2} =-4.5[/tex]

ok done. Thank to me :>

references on kinetic energy will give brainlist! in own words NO PLARISM!!!!!!!!!!!

Answers

Answer:

See below

Step-by-step explanation:

Kinetic energy is basically energy that an object has while it moves. For example, a ball rolling down a hill will have kinetic energy as it rolls, or a bullet shot out of a gun.

Kinetic energy is the energy acting on a moving object for example a ball when you roll it then gets kinetic energy sorry if this is wrong

PLZ HELP MATH QUESTION! LOOK AT THE PICTURE BELOW!I I WILL GIVE BRAINILEST TO CORRECT FAST ANSWER!

Answers

Answer:

x<2

Step-by-step explanation:

You're answer is wrong because the circle on the number line is not closed. If it was closed, it would be x ≤ 2 , but because it is open, it would be just be x<2

What term best describes the graph of y=-15

Answers

Step-by-step explanation:

x,y = 0,-15

for another you have to draw Cartesian plane

Answer:

The answer is:- Zero slope

Step-by-step explanation:

Hope it helps you ✌️

A curve has equation y=4x^3 -3x+3. Find the coordinates of the two stationary points. Determine whether each of the stationary points is a maximum or a minimum.

Answers

Answer:

There are two stationary points

Local max = (-0.5, 4)Local min = (0.5, 2)

Note that 1/2 = 0.5

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

How to get those answers:

Stationary points occur when the derivative is zero, when the graph is neither increasing nor decreasing (i.e. it's staying still at that snapshot in time).

Apply the derivative to get:

f(x) = 4x^3 - 3x + 3

f ' (x) = 12x^2 - 3

Then set it equal to zero and solve for x.

f ' (x) = 0

12x^2 - 3 = 0

12x^2 = 3

x^2 = 3/12

x^2 = 1/4

x = sqrt(1/4) or x = -sqrt(1/4)

x = 1/2 or x = -1/2

x = 0.5 or x = -0.5

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

Let's do the first derivative test to help determine if we have local mins, local maxes, or neither.

Set up a sign chart as shown below. Note the three distinct regions A,B,C

A = numbers to the left of -0.5B = numbers between -0.5 and 0.5; excluding both endpointsC = numbers to the right of 0.5

The values -0.5 and 0.5 are not in any of the three regions. They are the boundaries.

The reason why I split things into regions like this is to test each region individually. We'll plug in a representative x value into the f ' (x) function.

To start off, we'll check region A. Let's try something like x = -2

f ' (x) = 12x^2 - 3

f ' (-2) = 12(-2)^2 - 3

f ' (-2) = 45

The actual result doesn't matter. All we care about is whether if its positive or negative. In this case, f ' (x) > 0 when we're in region A. This tells us f(x) is increasing on the interval [tex]-\infty < x < -0.5[/tex]

Let's check region B. I'll try x = 0.

f ' (x) = 12x^2 - 3

f ' (0) = 12(0) - 3

f ' (0) = -3

The result is negative, so f ' (x) < 0 when [tex]-0.5 < x < 0.5[/tex]. The f(x) curve is decreasing on this interval.

The change from increasing to decreasing as we pass through x = -0.5 indicates that we have a local max here.

Plug x = -0.5 into the original function to find its paired y coordinate.

f(x) = 4x^3 - 3x + 3

f(-0.5) = 4(-0.5)^3 - 3(-0.5) + 3

f(-0.5) = 4

The point (-0.5, 4) is a stationary point. More specifically, it's a local max.

Side note: This is the same as the point (-1/2, 4) when written in fraction form.

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

Let's check region C

I'll try x = 2

f ' (x) = 12x^2 - 3

f ' (2) = 12(2)^2 - 3

f ' (2) = 45

The positive outcome tells us that any number from region C does the same, and f ' (x) > 0 when [tex]0.5 < x < \infty[/tex]. The function f(x) is increasing on this interval.

Region B decreases while C increases. The change from decreasing to increasing indicates we have a local min when x = 0.5

Plug this x value into the original equation

f(x) = 4x^3 - 3x + 3

f(0.5) = 4(0.5)^3 - 3(0.5) + 3

f(0.5) = 2

The local min is located at (0.5, 2) which is the other stationary point.

The graph and sign chart are shown below.

The local min is located at (0.5, 2) which is the other stationary point.

How to Determine whether each of the stationary points is a maximum or a minimum?

Stationary points occur when the derivative is zero, when the graph is neither increasing nor decreasing.

Apply the derivative to get:

f(x) = 4x^3 - 3x + 3

f ' (x) = 12x^2 - 3

Then set it equal to zero and solve for x.

f ' (x) = 0

12x^2 - 3 = 0

12x^2 = 3

x^2 = 3/12

x^2 = 1/4

x = 1/2 or x = -1/2

x = 0.5 or x = -0.5

The first derivative test to help determine if we have local mins, local maxes, or neither.

A = numbers to the left of -0.5

B = numbers between -0.5 and 0.5 excluding both endpoints

C = numbers to the right of 0.5

Thus, The values -0.5 and 0.5 are not in any of the three regions. They are the boundaries.

Let's try something like x = -2

f ' (x) = 12x^2 - 3

f ' (-2) = 12(-2)^2 - 3

f ' (-2) = 45

In this case, f ' (x) > 0 when we're in region A.

Let's check region B x = 0.

f ' (x) = 12x^2 - 3

f ' (0) = 12(0) - 3

f ' (0) = -3

The result is negative, so f ' (x) < 0 when f(x) curve is decreasing on this interval.

The change from increasing to decreasing as we pass through x = -0.5 indicates that we have a local max here.

Substitute x = -0.5 into the original function to find its paired y coordinate.

f(x) = 4x^3 - 3x + 3

f(-0.5) = 4(-0.5)^3 - 3(-0.5) + 3

f(-0.5) = 4

The point (-0.5, 4) is a stationary point, it's a local max.

Let's check region C x = 2

f ' (x) = 12x^2 - 3

f ' (2) = 12(2)^2 - 3

f ' (2) = 45

The positive outcome tells us that any number from region C does the same, and f ' (x) > 0 when The function f(x) is increasing on this interval.

Susbtitute this x value into the original equation

f(x) = 4x^3 - 3x + 3

f(0.5) = 4(0.5)^3 - 3(0.5) + 3

f(0.5) = 2

Hence, The local min is located at (0.5, 2) which is the other stationary point.

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James is observing the population of the fish he put into a pond. He built a pond and
populated it with 700 fish. The population of the fish doubles every year.

Answers

The exponential equation is given by y = 700(2)ˣ

An exponential function is given by:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the population of fish after x hours.

Given that he starts with 700 fishes, hence

a = 700

The population of the fish doubles every year, hence:

b = 2

The exponential equation becomes:

y = 700(2)ˣ

Find out more at: https://brainly.com/question/12490064

find the mean of 100​

Answers

Answer:

100.

Step-by-step explanation:

100 + 0 = 100

100 ÷ 1 = 100

The answer is 100 explanation=

PLS HELP ASAP ILL GIVE 5 STARS

Answers

Hey there!

(5 * 6) * 4

= 30 * 4

= 120

So you’re basically looking for something that’s equivalent to 120

CHOICE A.

5 * (5 * 6)

= 5 * 30

= 150

So, Choice A is probably NOT the answer you’re looking for!

CHOICE B.

4 * (5 * 6)

= 4 * 30

= 120

Choice B. is probably the answer you’re probably looking for.

So, I recommend you to color it apricot. :)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Help help help help math

Answers

Answer:

<6 = 158°

Step-by-step explanation:

we know a = 6

22 + a = 180

a = 180 - 22

a = 158

Please help me asap!

Answers

Answer:

Step-by-step explanation: I think it is c

SOMEONE PLEASE HELP Me . My child doesn’t understand this MaTh and THeY really need help. Take this seriously bc we really really need help y’all.

Answers

Answer:

158.4

Step-by-step explanation:

PLEASE HELP ME!! I NEED HELP WITH THIS

Answers

Answer: It is answer C.

Step-by-step explanation: Because of the location and angle of the line, it intersects at 9 on the y axis and 1 on the x, therefore giving you 9 over 1

change 93 to base 4 ​

Answers

93 in base 10 converted into base 4 would 1131

Rewrite the expression using the
distributive property.
3(a + 2) + 4a
3a + 6 + 4a
Now combine like terms.
[?]a + [
Enter

Answers

Answer:

Step-by-step explanation:

Answer:

7a + 6

Step-by-step explanation:

Expand the brackets and then collect like terms. 4a + 3a = 7a

Match the verbal phrase on the left with the corresponding equation on the right. Write the letter of the answer on the space provided1.c increased by 5 is 5 2.4 more than a number is 12 3. The product of 4 and n is 12 4. The difference of 27 and k is 15 5.8 less than 3 times x is 10 6. 3 times x increased by 8 is 20 7. a number minus 8 is 3 8. three times a number is 9 9. twice a number plus 1 is 11 10.6 less than a number is 5a. 27-k=15 b. n + 4 = 12 d. 3x+8 = 20 e. k-8=3 f. 3x-8=10 g. 2x + 1 = 11 h. c + 5 = 15 i. 4n = 12 c. c-6=15 j. 3n = 9​

Answers

Answer:

See below

Step-by-step explanation:

1. c increased by 5 is 5                       ⇒ h. c + 5 = 5 2. 4 more than a number is 12           ⇒ b. n + 4 = 12 3. The product of 4 and n is 12          ⇒ i. 4n = 12 4. The difference of 27 and k is 15    ⇒ a. 27 - k = 155. 8 less than 3 times x is 10              ⇒ f. 3x - 8 = 10 6. 3 times x increased by 8 is 20      ⇒ d. 3x + 8 = 20 7. A number minus 8 is 3                   ⇒ e. k - 8 = 3 8. Three times a number is 9            ⇒ j. 3n = 9​9. Twice a number plus 1 is 11           ⇒ g. 2x + 1 = 11 10. 6 less than a number is 5            ⇒ c. c - 6 = 15

How much interest will you earn if you deposit
$4000 into an account compounded semi-annually
at 2.8% for 5 years?

Answers

Answer:

45215.31

Step-by-step explanation:

$596.6 is the interest will you earn if you deposit $4000 into an account compounded semi-annually at 2.8% for 5 years.

What is compounding?

Compounding is the process whereby interest is credited to an existing principal amount as well as to interest already paid. Compounding thus can be construed as interest on interest—the effect of which is to magnify returns to interest over time, the so-called “miracle of compounding.”

According to question,$4000 into an account compounded semi-annually at 2.8% for 5 years.

We have to find interest rate.

Formula for compound interest is [tex]P[(1+i)^n-1][/tex]

Since compounding is semi-annually,

[tex]i=\frac{0.028}{2}[/tex][tex]=0.014[/tex] (since compounding is semi-annually)

[tex]n[/tex]=number of years=[tex]5[/tex] ×[tex]2=10[/tex] years (since compounding is semi-annually)

So, compound interest

[tex]=[/tex][tex]P[(1+i)^n-1][/tex]

[tex]=4000((1+0.014)^{10} -1))[/tex]

[tex]=4000[/tex]×[tex]0.1491[/tex]

[tex]=596.6[/tex]

Hence we can conclude that,$596.6 is the  interest will you earn if you deposit $4000 into an account compounded semi-annually at 2.8% for 5 years.

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PLEASE HELP:
Check for understanding:

Answers

Answer:

P = 106

A = 330

Step-by-step explanation:

= 2(l+w) (perimeter of rectangle)

= 2·(18+15)

= 66

picture below of perimeter of right angle triangle

Add both values

P= 66 + 40

P = 106

= w*l (Area of rectangle)

=15·18

= 270

= ab/2 ( Area of triangle )

= 8·15/2

=60

Add both values

A = 60 + 270

A = 330

I hope it helps

For how many positive integers n is it possible to have a triangle with side lengths five, 12, and n

Answers

Step-by-step explanation:

you know, a single side cannot be longer than the other 2 sides combined.

otherwise, the triangle cannot "close".

so, it starts with 12 cannot be longer than 5 + n.

therefore, n must be at least 7.

and n cannot be longer than 5+12 = 17

7 and 17 I would normally rule out a well, because in these cases the triangle would just be a flat line, when the 3rd side is as long as the other 2 combined.

so, in reality for a real, visible triangle, the range of valid values is 8 .. 16.

that is 9 positive integer values.

Find
∂f
∂x
,
∂f
∂y
, and
∂f
∂z
.
f(x, y, z) = 32xyz

Answers

Answer:

what are the measurements for 1 and 2?

Step-by-step explanation:

George Washington


You buy a serving spoon for $4.05 and a bread knife for $3.99. What is the total cost of your purchase?
A. $8.94
B. $7.04
C. $7.94
D. $8.04

Correct answer on gradpoint is D: $8.04

Answers

Answer: d. $8.04

Step-by-step explanation:

$4.05 + $3.99 = $8.04

Answer:

d. 8.04

Step-by-step explanation:

4.05+3.99=8.04

Mara is playing a game. There are two marbles in a bag. Ifshe chooses the purple marble, she will win $10. If she chooses the orange marble, she will win $200. What is the expected value of Mara's winnings from the game?

Answers

Answer:

Step-by-step explanation:

Mara has a 50% chance of getting the purple marble and 50% of getting an orange marble, since there's 2 marble; 1 purple and one orange; 1/2 = 50%

So she has a 50% chance of receiving $10 and a 50% chance of receiving the $200.

Connor gets one hour of lunch and recess every day at school. He eats lunch first, and then gets to go outside for recess. He begins lunch at 11:15am. Based on this information, select All of the statements that are correct. a. If it takes Connor 25 minutes to eat lunch, he can go outside for recess at 11:40am. b. If it takes Connor 35 minutes to eat lunch, he will have 20 minutes left for recess. c. If it takes Connor 20 minutes for lunch, he can go outside for recess before 11:45am. d. If it takes Connor 25 minutes for lunch, he will still have at least 40 minutes left for recess. Vle. If it takes Connor 45 minutes for lunch, he can go out to recess at 12:00pm.

Answers

Answer: B ( sorry if im wrong )

Step-by-step explanation:

if Conner begins lunch at 11:15am then we need to find out what it'll be in +60 minutes, which is . . . 12:15pm

so it's not A, C, E - which now leaves us B and D

( I used a time calculator btw )

the answer is D because B is 25 minutes for recess

11,16,21,...
Find the 43rd term.
Find the 43rd term.




Answers

Answer:

You add 5 each time so we just need to multiple 5 by 40  since we alredy have the first three terms.

40*5=200

21+200=221

Hope This Helps!!!

You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $2.25 and each soda costs $1.50. At the end of the night, you made a total of $225.75. You sold a total of 126 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. What equations did you use to solve this? How many hot dogs were sold and how many sodas were sold?

A.
x + y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas.

B.
x + y = 126 and 2.25x + 1.50y = 225.75 ; 77 hot dogs and 49 sodas.

C.
2.25x + 1.50y = 126 and x + y = 225.75 : -283.5 hot dogs and 509.25 sodas.

D.
There is not enough information

Answers

The equations and the number of hotdogs and sodas sold are:  x+ y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas.

Two equations can be derived from this question:

2.25x + 1.50y = 225.75 equation 1

x + y = 126 equation 2

Where:

x = number of hotdogs sold

y = number of soda sold

In order to determine the value of y, multiply equation 2 by 2.25

2.25x + 2.25y = 283.50 equation 3

Subtract equation 1 from 3

57.75 = 0.75y

y = 77

Substitute for y in equation 2

x + 77 = 126

x = 49

To learn more about simultaneous equations, please check: brainly.com/question/23589883

Answer:

The correct answer is A) x + y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas

Step-by-step explanation:

hope this helps

1. Kim's age is three times that of her sister. When you add Kim's age to her sister's age, you get 48. How old is each sister? (a) Write an equation that represents the situation. Explain any variable used. (1 point) (b) Solve the equation from Part (a). Show your work. (4 points)

Answers

Answer:

3k=48

Step-by-step explanation:

k=kim's age

3k=48

/3

k=16

Tony’s birthday his mother is making cupcakes for his friends at his daycare that the recipe calls for 3 1/3 of flour I make 2 1/2 dozen cupcakes.Call me she’ll ask flower two dozen of cupcakes

Answers

Answer:

No, there is no enough flour for each of his friends to get a cupcake

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ This recipe makes 2 dozen cupcakes

∵ Each dozen contain 12 cupcakes

∴ The number of cupcakes can the recipe make = 2  × 12

∴ The number of cupcakes can the recipe make = 30 cupcakes

∵ The recipe calls for 3 cups of flour

→ That means 3 cups of flour can make 30 cupcakes

∴ 3 cups of flour makes 30 cupcakes

∵ Anthony’s mother has only 1 cup of flour

→ By using the ratio method

→  flour  :  cupcake

→  3      :  30

→   1       :   x

→ By using cross multiplication

∵ 3 × x = 1 × 30

∴ 3 x = 30

→ Divide both sides by 3

∴ x = 9

∵ x represents the number of cupcakes  

∴ Anthony’s mother can make 9 cupcakes with 1 cup of flour

∵ Anthony has 12 friends at his daycare

∵ The number of the cupcakes = 9

∴ The number of cupcakes is not enough for each of his friends to

  get a cupcake

Step-by-step explanation:

Answer:

Tony’s birthday his mother is making cupcakes for his friends at his daycare that the recipe calls for 3 1/3 of flour I make 2 1/2 dozen cupcakes.Call me she’ll ask flower two dozen of cupcakes

Step-by-step explanation:

Given [tex]cot(\alpha )=-\sqrt{3}[/tex] and [tex]\pi/2 \ \textless \ \alpha \ \textless \ \pi[/tex], find the exact values of the five remaining trigonometric functions:
1. [tex]sin(\alpha )[/tex]
2. [tex]cos(\alpha )[/tex]
3. [tex]tan(\alpha )[/tex]
4. [tex]csc(\alpha )[/tex]
5. [tex]sec(\alpha )[/tex]

Answers

Immediately, by definition of cotangent, we find

tan(α) = 1/cot(α) = 1/(-√3)

⇒   tan(α) = -√3

Given that π/2 < α < π, we know that cos(α) < 0 and sin(α) > 0. In turn, sec(α) < 0 and csc(α) > 0.

Recall the Pythagorean identity,

cos²(α) + sin²(α) = 1

Multiplying both sides by 1/sin²(α) recovers another form of the identity,

cot²(α) + 1 = csc²(α)

Solving for csc(α) above yields

csc(α) = + √(cot²(α) + 1) = √((-√3)² + 1) = √4

⇒   csc(α) = 2

⇒   sin(α) = 1/2

Solve for cos(α) using the first form of the Pythagorean identity:

cos(α) = - √(1 - sin²(α)) = - √(1 - (1/2)²) = - √(3/4)

⇒   cos(α) = -√3/2

⇒   sec(α) = -2/√3

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