What is the slope of the line that passes through the points (5, -4) and (7, -4)?
Write your answer in simplest form.

On solving the provided question ,we can say that The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as: x = 1.49y

A sequence is a grouping of "terms," or integers. Term examples are 2, 5, and 8. Some sequences can be extended indefinitely by taking advantage of a specific pattern that they exhibit. Use the sequence 2, 5, 8, and then add 3 to make it longer. Formulas exist that show where to seek for words in a sequence. A sequence (or event) in mathematics is a group of things that are arranged in some way. In that it has components (also known as elements or words), it is similar to a set. The length of the sequence is the set of all, possibly infinite, ordered items. the action of arranging two or more things in a sensible sequence.

The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as:

x = 1.49y

-1.49y + x = 0

-149y + 100x = 0

To know more about sequence visit:

https://brainly.com/question/21961097

#SPJ1

The linear equation in the required form is: x - 1.49y = 0

What is linear equation?

A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane. It is an equation of the form:

y = mx + b

Let's start by assigning variables to the given information. We are told that "the number of new clients (x) is 149% of the number of old clients (y)."

Using this information, we can write:

x = 1.49y

To write this equation in the form ax + by = c, we need to move all the variables to one side of the equation and simplify.

Subtracting 1.49y from both sides, we get:

x - 1.49y = 0

So the linear equation in the required form is:

x - 1.49y = 0

To learn more about linear equation from the given link:

https://brainly.com/question/11897796

#SPJ1

Answer: 59%

Step-by-step explanation:

Hope this helps have a great day. :)

Answer:

59%

Step-by-step explanation:

I would solve this through proportions

177                x

300            100

Cross multiply

177 x 100 = 17700

And then divide

17700/300 = 59

The answer is 59%

Answer:

(6C1)(5C1)/20C2

Step-by-step explanation:

Was right on egde

The data and the image both characterize the object as a rectangle because its length is 12 and its width is 9.

A quadrilateral having four right angles, or rectangle, in Euclidean plane geometry. A quadrilateral that is equiangular, or one in which all of the angles are equal, is another way to describe it. Also possible is a straight angle in the parallelogram. With four sides that are of the same size, a square is a rectangle. Four 90-degree vertices and equal parallel sides make up a quadrilateral with a rectangle-like shape. Its equirectangular rectangle moniker derives from this. The term "parallelogram" also refers to a rectangle, which has equal and parallel opposite sides.

given

in 8 th question

The illustration depicts a rectangle with four sides and two opposite sides that are the same length as a square with equal lengths on all four sides.

The data and the image both characterize the object as a rectangle because its length is 12 and its width is 9.

To know more about rectangle visit:

https://brainly.com/question/29123947

#SPJ1

Step 1: Calculate the hours worked for the morning and afternoon

Step 2: Calculate the entire hours worked for the day

Step 3: Given the wage to be $13.50 per hour, calculate the wage for the combined hours worked

Answer:

60%

Step-by-step explanation:

let ,x% is birds of prey

total animals=110

birds of prey=66

then,

x%of 110=66

x/100×110=66

110x/100=66

1.1x=66

x=66/1.1

x=60%

I'm not sure if this is correct.

Answer:

Then the area of the triangle is 240 m²

Step-by-step explanation:

Area of a triangle:

The area of a triangle is given by the multiplication of its height and altitude, divided by 2.

In this question:

Base = 24m, altitude = 20m. So

\(A = \frac{24*20}{2} = 24*10 = 240\)

Then the area of the triangle is 240 m²

0.375

Answer:

Solution given:

For 1st box.

probability of not getting blue is:2/4=1/2

For second box

probability of not getting blue is:1/4

total probability=½*¼=0.375

Answer:

0.375

Step-by-step explanation:

The left bag has 2 blue marbles and 2 not blue marbles

The chance of drawing a not blue marble is 2/4 = 0.50

The right bag has 1 blue marble and 3 not blue marbles

The chance of drawing a not blue marble is 3/4 or 0.75

Drawing one marble from each bag results in a probability of

0.50(0.75) = 0.375 of getting no blue marbles at all.

Answer:

There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.

The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.

hope it helps you...

Answer:

Senator = 125,100

Congressman =101,900

Step-by-step explanation:

Congressman = x

Senator = x+23,200

x+x+23200=227000

x+x=227000-23200

2x=203800

x=203800/2

x=101900

Congressman = x = 101900

Senator = x+23200=101900+23200 = 125100

Answer:

The coefficient would be 94

Step-by-step explanation:

A coefficient is the number used to multiply the variable! Hope this helps!

Answer:

C

Step-by-step explanation:

The scale on both the x and y axes has 1 unit divide into 4 parts.

Then 1 part is one quarter of 1 , that is 0.25 and 2 parts = 0.5

The point with coordinates (0.25, - 0.5 ) is point C

The number of outfits is 56

The given parameters are:

Skirts = 7

Shirt = 4

Shoes = 2

The number of outfits is calculated as:

Number of outfits = Skirts * Shirt * Shoes

So, we have:

Number of outfits = 7 * 4 * 2

Evaluate

Number of outfits = 56

Hence, the number of outfits is 56

Read more about combination at:

https://brainly.com/question/4658834

#SPJ1

Answer:

1

Step-by-step explanation:

We know x = 3

2 times 3 is = to 6

5 subtracted from 6 (6-5) = 1

Answer:

Step-by-step explanation: [-2.19] = -3

[3.67] = 3

[-0.83] = -1

The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.

This can be generalized as given below:

[x] = -2, -2 ≤ x < -1

[x] = -1, -1 ≤ x < 0

[x] = 0, 0 ≤ x < 1

[x] = 1, 1 ≤ x < 2

Answer:

y = - \(\frac{3}{2}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then

y = - \(\frac{3}{2}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (0, 0 )

0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so

c = 0

y = - \(\frac{3}{2}\) x + 0 , that is

y = - \(\frac{3}{2}\) x

Answer:selecting 6 or 7 in the first draw and 8 or 9 in the second draw, no replace?

Step-by-step explanation:What is the probability of selecting a king from the first card and a queen from the second ... Originally Answered: Two cards are drawn successively from a pack of 52 cards. ... I. With replacement : Probability that the first card drawn is a king is . ... of selecting 6 or 7 in the first draw and 8 or 9 in the second draw, no replace?

Answer:

1.A

Step-by-step explanation:

yan po ang Tama po ang sagot..ko

Answer:

\(\boxed{ \rm \: Volume_{(Cylinder)} \approx \: 461.6 \: {m}^{3} } \rm (rounded \: to \: nearest \: tenth)\)

Step-by-step explanation:

Given dimensions:

Given value of π :

To find:

Solution:

Here, we'll need to use the formulae of the volume of cylinder,to find it's volume.Its actually like a savior while solving these type of questions.

\( \pink{\star}\boxed{\rm \: Volume_{(Cylinder)} = \pi{r} {}^{2} h}\pink{\star}\)

where,

Plug/substitute them onto the formulae,then simplify it using PEMDAS.

\( \rm \: Volume_{(Cylinder)} = \pi(7) {}^{2} \times 3\)

\( \rm \: Volume_{(Cylinder)} = \pi(49)(3)\)

\( \rm \: Volume_{(Cylinder)} = 147\pi \: \)

\( \rm \: Volume_{(Cylinder)} = 147 \times 3.14\)

\( \rm \: Volume_{(Cylinder)} = 461.58 \: {m}^{3} \)

\( \boxed{\rm \: Volume_{(Cylinder)} \approx \: 461.6 \: {m}^{3}} \rm (rounded \: to \: nearest \: tenth) \: \)

Hence, we can conclude that:

The volume of the cylinder is approximately

461.6 m³.

\( \rule{225pt}{2pt}\)

Answer:

If y=6 when x=3 find y when x =-33.

Step-by-step explanation:

Answer:

66-26 = 40

Step-by-step explanation:

u = 40 degrees

Answer:

-2 is the correct answer

Answer:

heyyyy

Step-by-step explanation:

Answer: equation of the plane is 5x - y - z - 7 = 0  

same as ( 5x - y - z = 7 )

Step-by-step explanation:

Given data;

5x - y - z = 6

therefore vector of plane is n° = ( 5, -1, -1)

so equation will be

n°(x-x₀, y-y₀, z-z₀) = 0

( 5, -1, -1) (x-x₀, y-y₀, z-z₀) = 0

5(x- (1)) -1(y - (-1)) -1(z - (-1)) = 0

5x - 5 - y - 1 - z - 1 = 0

5x - y - z - 7 = 0

Therefore equation of the plane is 5x - y - z - 7 = 0  

same as ( 5x - y - z = 7 )

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Answer:

One-time set up fee cost = $45

Step-by-step explanation:

Given:

Cost for 5 hours = $235

Cost for 12 hours = $501

Find:

One-time set up fee cost

Computation:

One-time set up fee cost = x

Hourly cost = y

So,

For 5 hour

x + 5y = 235 ......eq1

For 12 hour

x + 12y = 501 ......eq2

From eq 1 and eq 2

x = 45

So,

One-time set up fee cost = $45

the probability of the complement of (A ∪ B) is 0.3.

How to find and what is Morgan's law?

Since A and B are mutually exclusive, we have:

P(A ∩ B) = 0

The complement of (A ∪ B) is the set of outcomes that are not in A or B. So:

(A ∪ B)′ = A′ ∩ B′

Using De Morgan's law, we have:

A′ ∩ B′ = (A ∪ B)′

We can now use the formula for the probability of the complement:

P((A ∪ B)′) = 1 - P(A ∪ B)

Since A and B are mutually exclusive, we have:

P(A ∪ B) = P(A) + P(B)

So:

P((A ∪ B)′) = 1 - (P(A) + P(B))

Substituting the given probabilities, we get:

P((A ∪ B)′) = 1 - (0.2 + 0.5)

P((A ∪ B)′) = 1 - 0.7

P((A ∪ B)′) = 0.3

Therefore, the probability of the complement of (A ∪ B) is 0.3.

De Morgan's laws are a pair of fundamental laws in Boolean algebra and set theory that describe the relationship between the intersection and union of sets and their complements. The two laws are:

The complement of the union of two sets is equal to the intersection of their complements.

Symbolically: (A ∪ B)′ = A′ ∩ B′

The complement of the intersection of two sets is equal to the union of their complements.

Symbolically: (A ∩ B)′ = A′ ∪ B′

To know more about Morgan Law visit:

https://brainly.com/question/29073742

#SPJ1

Answer:

Step-by-step explanation:

You run a train station that sells children tickets for 2 dollars and adult tickets for 4 dollars

The total tickets sold on Saturday was 50

The train station made 120

How many adult tickets and kid tickets did they sell?

(40 kids, 10 adults)

A pen cost $40 and the book cost $10

The word problem that can be represented by the equation is: John bought one pen and one book for $50. He went the next day and bought 2 pens and 4 books for $120.

x + y = 50 ....... i

2x + 4y = 120 .... ii

Let x = pen

Let y = book.

From equation i, x = 50 - y

Since 2x + 4y = 120

2(50 - y) + 4y = 120

100 - 2y + 4y = 120

Collect like terms

-2y + 4y = 120 - 100

2y = 20

y = 10

Therefore, a book cost $10

Since x + y = 50

x + 10 = 50

x = 50 - 10

x = 40

A pen cost $40

Read related link on:

https://brainly.com/question/20986179

Answer:

Step-by-step explanation:

Answer:

A^n = [4^n 4^n

0 1]

Step-by-step explanation:

To find the solution for the 2x2 matrix A:

[4 4

0 1] to the nth power = [ ]

We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:

A^1 = [4 4

0 1]

Now, let's solve for A^2 by multiplying A^1 by A:

A^2 = A x A^1

= [4 4 [4 4

0 1] 0 1]

= [16 16

0 1]

Next, let's solve for A^3:

A^3 = A x A^2

= [4 4 [16 16

0 1] 0 1]

= [64 64

0 1]

We can see a pattern emerging:

   A^1 = [4 4

   0 1]

   A^2 = [16 16

   0 1]

   A^3 = [64 64

   0 1]

We can generalize this pattern as follows:

A^n = [4^n 4^n

0 1]

Therefore, the solution for the 2x2 matrix A raised to the nth power is:

A^n = [4^n 4^n

0 1]

Answer:

$7402.50 I think

Step-by-step explanation:

3.5(5)= 17.5 percent

175/1000* 6300= 17.5*63= 1102.5

6300+ 1102.5=  7402.5

if my answer helps please mark as brainliest.

Answer:

x=2

Step-by-step explanation:

pls mark me as brainlist