Work out the gradient of the line 3y-12x+7=0

Answer:

y = x + 1

Step-by-step explanation:

Multiply the original by -Ax to find the perpendicular, then the point it lines up with on the y-intercept is so because there is a 1 difference between 5 and 6

Answer:

first and fourth

Step-by-step explanation:

x² - 4 = 0 ( add 4 to both sides )

x² = 4 ( take square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

that is x = - 2, x = 2

4x² = 16 ( divide both sides by 4 )

x² = 4 ( take square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

that is x = - 2, x = 2

The equations a = n, b = 2n + 6 and c = n² - 1 are polynomials, and the expression for ab - c is n² + 6n + 1

The polynomials are given as:

a = n

b = 2n + 6

c = n² - 1

The expression ab - c is calculated using:

ab - c = n * (2n + 6) - (n² - 1)

Expand

ab - c = 2n² + 6n - n² + 1

Collect like terms

ab - c = 2n² - n² + 6n  + 1

Evaluate

ab - c = n² + 6n + 1

Hence, the expression for ab - c is n² + 6n + 1

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The statement that describes how each person observes the speed of the football is both Alex and his friend observe it as 10 m/s.

To answer the question, we need to know what speed is.

Speed is the distance moved per unit time

Since Alex is standing still and throws a football with a speed of 10 m/s to his friend, who is also standing still. If there were relative motion between Alex and his friend, that is Alex or his friend were moving, each person would observe a different speed for the football.

Since there is no relative motion between Alex and his friend, they both observe the same speed for the football.

So, both Alex and his friend observe it as 10 m/s.

So, the statement that describes how each person observes the speed of the football is both Alex and his friend observe it as 10 m/s.

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Answer:

a- the sum = 0.0031

b- the fly is 0.0013 grams heavier

Answer:

Step-by-step explanation:

a).

2.2 × [tex]10^{-3}[/tex] + 9 × [tex]10^{-4}[/tex] =

2.2 × [tex]10^{-3}[/tex] + 0.9 × [tex]10^{-3}[/tex] =

( 2.2 + 0.9 ) × [tex]10^{-3}[/tex] = 3.1 × [tex]10^{-3}[/tex]

b).

2.2 × [tex]10^{-3}[/tex] - 9 × [tex]10^{-4}[/tex] =

2.2 × [tex]10^{-3}[/tex] - 0.9 × [tex]10^{-3}[/tex] =

( 2.2 - 0.9 ) × [tex]10^{-3}[/tex] = 1.3 × [tex]10^{-3}[/tex]

Answer:

58.92 deg

Step-by-step explanation:

Angle J

In a right triangle    tangent of angle = opposite side / adjacent side

Tan J =   opp / adj = 15.1 /9.1

 then arctan ( 15.1/9.1 ) = J  = 58.92 deg

The explanation of the cost of a sample college would be the fact that fees such as tuition would be paid, other essentials that are necessary for the learning and development of the student such as books are also needed.

Given that a state college cost yearly includes:

Therefore, assuming that a community college cost would be less than the cost of a state college:

Hence, to find the sample community college costs after 2 years would be $95,000.

The sample state college costs after 4 years would be $238,136.

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The correct statement regarding the normal distribution is given by:

D. The mean, median, and mode are located at the center.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Most measures of the normal distribution are concentrated around the center, which represents all of the mean, median and mode, hence option D is correct.

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The  quotient of 2 3 / 5  ÷ 1 2 / 5 as a mixed fraction is 1 6 / 7

Quotient is the answer obtained when we divide one number by another. Therefore,

2 3 / 5  ÷ 1 2 / 5

let's convert the mixed fraction to improper fractions.

2 3 / 5  = 13 / 5

1 2 / 5 = 7 / 5

Therefore,

13 / 5  ÷  7 / 5 = 13/ 5 × 5 / 7

13/ 5 × 5 / 7 = 13 / 7 = 1 6 / 7

Therefore, the quotient of 2 3 / 5  ÷ 1 2 / 5 is 1 6 / 7

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Answer:

Step-by-step explanation:

As we given that A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm.

So,

[tex]\bigstar[/tex]To Find Volume of soaps required in the hospital to prepare daily to serve 250 patients. Firstly we need to find The volume of Soap in each bowl for 1 patient.

Using formula:

[tex] \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf \red{\underbrace{Volume_{(Cylinder)} = \pi r^2 h}} \\ \\ [/tex]

On substituting the required values, we get:

[tex] \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = \dfrac{22}{7} \times {(3.5)}^{2} \times 4 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = \frac{22}{7} \times 12.25 \times 4 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = \frac{22}{ \cancel{7} } \times{ \cancel{ 49}} \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = 22 \times 7 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf{ \red{ \underbrace{Volume_{(Cylinder)} = 154 \: {cm}^{3}}}} \\ \\ [/tex]

Hence, We have get the volume of soap for 1 patient is 154 cm³.

Now we need to find the volume of soap for 250 patients:

[tex] \\ \: \: \: \: \: \: \dashrightarrow \: \: \: \: \: \: \sf 154 \times 250 \\ \\ \: \: \: \: \: \dashrightarrow \: \: \: \: \: {\red{\underbrace {\sf {38500 \: cm^3}}}} \\ \\ [/tex]

Soap In litres:

[tex]\therefore[/tex]38.5 litres soup the hospital has to prepare daily to serve 250 patients.

Step-by-step explanation:

when picking (ahem, buying) a soccer ball, there are 75 total possibilities.

the chance to pick a bad one is then

4/75 = 0.053333333...

now we are buying 3 balls out of the 75.

how many possible options do we have ?

picks cannot be repeated, and the sequence does not matter, so we need combinations :

C(75,3) = 75! / (3! × (75-3)!) = 75×74×73/(3×2) = 25×37×73 =

= 67,525 possible groups of 3 balls.

from all these possibilities, how many have 2 good and 1 bad ball ?

as many as options we have to pick 2 balls out of 71 and 1 out of 4 :

C(71,2) × C(4,1) = 71! / (2 × (71-2)!) × 4! / (1 × (4-1)!) =

= 71×70/2 × 4 = 71×70×2 = 9,940 possibilities

so, the total probability to buy 2 good and 1 bad ball is

9940/67525 = 1988/13505 = 0.147204739...

La respuesta de cual es %15 de 400 es 60

42 if the base is 6 and the 7 is height, while if the base is 7 and the 2 is height the answer is 12 , then , if the 2 is base and then the 6 is height the answer is 12 again

Step-by-step explanation:

thats all

Answer: 1

the fourth root of 2

Answer:

Bag of tulips = $ 7

Step-by-step explanation:

Given  :

12d + 6t = 198

6d + 7t = 127         <====== Multiply this equation by -2

-12d - 14t = -254      <==== now add this one to the top equation ( this will  eliminate 'd' )

   -8t = - 56

   t = 7  dollars

Answer:

C = 4p

Step-by-step explanation:

Because it starts at 0 pounds costs 0 dollars, we know it starts at the origin and has no y-intercept. Because it rises up 20 dollars for every 5 pounds, we can use rise/run to do 20/5 to get an increase of 4 dollars per pound.

The effective cost per share for your shares based on the information given will be $24.50.

It should be noted that an effective cost per share simply means the exchange of a common stock equivalent when a share is sold.

In this situation, the stock closed at $24.50 at expiration and the option was assigned. Therefore, the effective cost per share for your shares is $24.50

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Answer:

if angle 1 is 127

then angle 5 is 635

Answer: x = 6

Step-by-Step Explanation:

=> -9x + 2x + 32 = -10

= -7x + 32 = -10

= -7x = -10 - 32 = -42

=> x = -42/-7 = 42/7 = 6

Therefore, x = 6

[tex]\rule{300}{1}[/tex]

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

-9x+2x+32=-10. what is x?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer \& How to solve:-}}}[/tex]

   When solving an equation, we need to make sure all variables are on the

    left-hand side, and all numbers are on the right-hand side.

    There are numbers on both sides, so we need to move all of them to the right.

  [tex]\bold{-9x+2x=-10-32}[/tex]

[tex]\bigstar[/tex] On simplification,

        [tex]\bold{-9x+2x=-42}[/tex]          Next, combine like terms (-9x+2x).

[tex]\bigstar[/tex] On further simplification,

   [tex]\bold{-7x=-42}[/tex]                Next, divide by -7 on both sides.

[tex]\bigstar[/tex] Which results in

[tex]\bold{x=6}[/tex]

It's always a good idea to make sure the solution is correct.

We can check that by substituting the value of x (x=6) in lieu of x (into the original equation) and seeing whether or not we have a true statement:-

[tex]\bold{-9(6)+2(6)+32=-10}[/tex]

[tex]\dagger[/tex] On simplification,

[tex]\bold{-54+12+32=-10}[/tex]

[tex]\dagger[/tex] On further simplification,

[tex]\bold{-42+32=-10}[/tex]

[tex]\dagger[/tex] Which results in

[tex]\bold{-10=-10}[/tex]

LHS=RHS, so our solution is indeed correct.

So we conclude that [tex]\boxed{\bold{x=6}}[/tex].

[tex]\rule{300}{2}[/tex]

2 3 8 is equal to 2.375

Step-by-step explanation:

in fraction form

Answer:

The answer would be 0.83 repeated decmal

Step-by-step explanation:

All you got to do is divide the two numbers and it'd give you 0.83 repeated decmal

Answer:

There are 2.5 pints in 1.25 quarts

Step-by-step explanation:

Answer:

3.46 because taking 1.05 minutes is 5.00 and 60 second make one hour

Answer:

1 5/6 yards of fabric.

Step-by-step explanation:

4 1/3 = 13/3

2.5 = 5/2

13/3 - 5/2 = [tex]\frac{26-15}{6} = 11/6[/tex]

Answer:

4 and 5

Step-by-step explanation:

n + 1 > 4

n > 4 - 1

n > 3

For the set { 1, 2 , 3 , 4, 5 }, 4 and 5 are greater than 3.

Hence, 4 and 5 makes the inequality n + 1 > 4 true.