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The slope-intercept form of the equation of the line is y = 2/3(x) - 4

Given that: the unknown line passes through (0, -4) and it is perpendicular to  y= -3/2(x) + 1

The slope-intercept form of a straight line is:

y = mx + c,

where m is the slope and c is the y-intercept

When the two lines are perpendicular, the product of their slope is -1 i.e.

m₁ × m₂ = -1

where m₁ and m₂ represent the slope of the lines

Let the slope of the given line be m₁ and the slope of the unknown line be  m₂

Line1(given):

y = -3/2(x) + 1   and m₁ = -3/2

m₁ × m₂ = -1

-3/2 × m₂= -1

m₂ = 2/3

Line 2(unknown) with the point ​(0, -4​):

y = mx + c     (x = 0 and y = -4)

-4 = 3/2(0) + c

c = -4

y = 2/3(x) - 4

Therefore, the slope-intercept form of the equation of the line that passes through (0, -4) and is perpendicular to y= -3/2(x) + 1 is y = 2/3(x) - 4

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The table of solutions for the given equation (y = -2x²) include the following:

x                    y_

-2                  -8

-1                   -2

0                   -0

1                    -2

2                   -8

Also, a graph of the solution of this equation (y = -2x²) has been plotted in the image attached below.

In order to determine the valid and true solutions to the given quadratic equation, we would have to substitute the values of contained in the table into the quadratic equations as follows;

At x = -2, the value of point y is as follows:

y = -2x²

y = -2(-2)²

y = -2 × 4

y = -8

At x = -1, the value of point y is as follows:

y = -2x²

y = -2(-1)²

y = -2 × 1

y = -2

At x = 0, the value of point y is as follows:

y = -2x²

y = -2(0)²

y = -2 × 0

y = 0

At x = 1, the value of point y is as follows:

y = -2x²

y = -2(1)²

y = -2 × 1

y = -2

At x = 2, the value of point y is as follows:

y = -2x²

y = -2(2)²

y = -2 × 4

y = -8

In conclusion, we can logically deduce that the graph of this quadratic equation forms a downward parabola.

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The required number maximum number of copies can be afforded x < 24.28.

Given that,
We have $8.50 and you need to make copies of a flyer at a store that charges $0.35 per copy.

Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Let the number of copies be x,
According to the question,

0.35x < 8.50
x < 8.50 / 0.35
x < 24.28

Thus, the required number maximum number of copies can be afforded x < 24.28.

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The expression equates to R = 926.19

An equation is a relation equating two mathematical expressions. For example -

2x + 4 = 5x + 7

We have -

R = 21000([0.052/4]/[1+0.052/4]²⁰ - 1]

We have the following equation -

R = 21000([0.052/4]/[1+0.052/4]²⁰ - 1]

R = 21000([0.013/(1.013)²⁰ - 1)

R = 21000([0.013/(1.29475890663 - 1)]

R = 21000(0.0441038411650727)

R = 926.1806644665257

R = 926.19

Therefore, the expression equates to R = 926.19

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The value of the expression 22 - (8 x 1) divided by (6 - 4) - 2 is 0.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

The expression given is:

22 - (8 x 1) divided by (6 - 4) - 2

= 22 - (8 x 1) ÷ (6 - 4) - 2

= [22 - 8] ÷ [2 - 2]

= 14 ÷ 0

= 0

The value is 0.

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The value for p is 30.

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In a one-period binomial model of an option value, the probabilities of an up-move and a down-move are "calculated from the model inputs."

The number of survivors, x, in n independent tests is described by a binomial model. The number of tests must be predetermined, the results—success or failure—must be statistically independent for each test, and the survival probability—p—must be constant throughout the tests. When a process is repeated a certain number of times (for example, in a set of patients), the result for each patient can either be a success or a failure, the binomial distribution model enables us to calculate the probability of observing a specified number of "successes."

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In the garden club there are 18 ladies and 2 gentlemen.

Given, In a garden club, 90% is ladies.

The number of ladies is 12 more than 3 times the number of gentlemen.

Let the total members be, x

the number of ladies be, l and the number of gentlemen be, g

according to the question,

l = 90x/100

l = 9x/10

also, l = 12 + 3g

g = (l - 12)/3

as, l + g = x

9x/10 + (9x/10 - 12)/3 = x

9x/10 + 9x/30 - 4 = x

36x/30 - 4 = x

6x/30 = 4

x = 20

so, ladies be, l = 9x/10 = 18

and gentlemen be, g = 20 - 18 = 2

Hence, in the garden club there are 18 ladies and 2 gentlemen.

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Answer:

Domain: {7, 8, 9} Range: {2, 3, 4, 5}

Step-by-step explanation:

This relationship is not a function because one input (7) gave two different outputs (2 and 4)

The height of the ball after the nth and 5th bounce will be a (1/2)ⁿ and 0.40625 feet, respectively.

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

A golf ball is fabricated so that assuming it is dropped from A feet over the ground onto a hard surface, the most extreme level of each skip will be one portion of the level of the past bob.

Then the equation is given as,

h = a (1/2)ˣ

Where 'a' is the initial height.

The exponential equation that gives the height h the ball will attain during the nth bounce will be given as,

h = a (1/2)ⁿ

If the ball is dropped from 13 feet above the ground onto hard a surface. Then the height on the 5th bounce will be given as,

h = 13 (1/2)⁵

h = 13 x 1 / 32

h = 0.40625 feet

The height of the ball after the nth and 5th bounce will be a (1/2)ⁿ and 0.40625 feet, respectively.

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The total sum of money is 77 dollars .

Let the total sum of money be x .

⇒ Aziz's share = 4x / 11

   Ahmad's share = 7x / 11

Given : Aziz received 21 dollars less than Ahmad

⇒ 4x / 11 = ( 7x / 11 ) - 21

Solving the above linear equation in one variable ,

( 7x - 4x ) / 11 = 21                      ( taking like terms together )

3x = 21 * 11

x = 7 * 11

x = 77

Aziz's share = ( 4 / 11 ) * 77 = 28

Ahmad's share = ( 7 / 11 ) * 77 = 49

Total Sum of money = 28 + 49 = 77 dollars .

Hence , the total sum of money = 77 dollars .

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Answer:

$11.96

Step-by-step explanation:

Now we have to,

→ find 23 percent of $52.

Let's solve the problem,

→ 23% of $52

→ (52/100) × 23

→ 0.52 × 23

→ $11.96

Hence, answer is $11.96.

Answer:

(2,1)

Step-by-step explanation:

The x-value stays the same since we are only moving up/down and the y-value becomes the opposite

(x,y)--> (x,-y)

So the point becomes (2,1)

Answer:

(2,-1) hope this helps you understand

Answer:

24

Step-by-step explanation:

give me brainliest pls

The 5th letter of the alphabet is E.

An alphabet is a standardized collection of basic written symbols or graphemes that represent the phonemes of different spoken languages.

The letter a begins the English alphabet and ends with the letter z. The alphabet is always written in the same order: a-b-c-d-e-f-g-h-i-j-k-l-m-n-o-p-q-r-s-t-u-v-w-x-y-z. A-B-C-D-E-F-G-H-I-J-K-L-M-N-O-P-Q-R-S-T-U-V-W-X-Y-Z. This is known as "alphabetical order."

The set of 26 symbols represents sounds used in speech and writing. Each character in a syllabary, for example, represents a syllable, whereas characters in logographic systems represent words, morphemes, or other semantic units. In this case, E is the 5th letter.

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The required weight of the flour is 28.125 ounces.

A recipe calls for 15 ounces of flour for every 8 ounces of milk. It is given that we use 15 ounces of milk. Then we need to calculate the weight of flour we need to use.

The ratios of the ingredients must remain in equal proportions. The fraction of one divided by the other is referred to as the ratio. A proportion is an equation that equates two ratios. We will use the unitary method. Let the weight of the flour required be denoted by the variable "w". A variable is a quantity that can change in a mathematical problem or experiment.

w = (15/8)*15

w = 28.125

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The probability that the sum of the 40 values is greater than 7,450 is 0.0239

Define Normal Distribution.

        Z  = (x - μ ) / (σ / √n )

We have given following info,

mean μ = 180

Standard deviation σ = 20

n = 40

σ(mean of x) = σ / √ n

                     = 20 / √40

                      = 3.16

Sample average  (mean of x) = 7450 / 40

                           = 186.25

P(x > 186.25) = 1 - P(x < 186.25)

                     = 1 - P( (x - μ ) / σ(mean of x) ) < ( [186.25 - 180] / 3.16) )

                     = 1 - P( Z < 1.98)

Using Normal distribution table,

                     = 1 - 0.9761

P(x > 186.25) = 0.0239

Therefore,the probability that the sum of the 40 values is greater than 7,450 is 0.0239

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Answer:  30 in.

Step-by-step explanation:

So when you look at the right triangle closely, you can see that the c is the same length as the 30 in. That's why I think it is 30 in. (May be wrong)

The area of the contact paper required to cover the entire tabletop is 12.25 square feet.

Jamie has a tabletop that he wants to cover with contact paper. The length, width, and height of the tabletop are 3.5 feet, 3.5 feet, and 0.25 feet, respectively. We need to calculate the area of the contact paper required to cover the entire tabletop.

Let the area of the tabletop be represented by the variable "A". We need to calculate the area of only the top surface of the table. The table is rectangular in shape. The area of the tabletop must be the product of the length and the width of the table.

A = 3.5×3.5

A = 12.25

Hence, the area of the tabletop is 12.25 square feet.

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The probability that b will occur given that a has occurred is 2/5 as the probability of a is 0.45 and the probability of the intersection of a and b is 0.15.

It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability. For instance, the theoretical chance of getting a head when tossing a coin is 12. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.

Here,

P(A)=0.45

P(A∩B)=0.15

P(A∪B)=1

P(B)=1-(0.45+0.15)

=1-0.60

=0.4

=2/5

With a probability of 0.45 and a and b's intersection having a 0.15 probability each, the likelihood that b will happen given that a has happened is 2/5.

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Answer:

6CO2 + 6H2O → C6H12O6 + 6O2.

Step-by-step explanation:

That's the equation for photosynthesis. let me know if you have any questions.

it's a easy question I think you can solve it

Answer: ___________________________________________

58/15

He rented the pressure washer for 4 hours, given that the total bill was $86.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.

Let x = total number of hours he rented the pressure washer

The total bill, which was $86, includes the flat fee of $50 plus $9 per hour of use.

Hence, the equation will be 50 + 9x = 86.

Solve for x.

50 + 9x = 86

9x = 86 - 50

9x = 36

x = 4

total number of hours he rented the pressure washer = 4

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Answer:

It would take them 13.5 days to raise enough money.

Step-by-step explanation:

In order to find the answer, you just have to take the amount of money they want to raise, which is $162, and divide it by the amount of money they save each day, or $12. In this case that would be dividing 162/12 giving you an answer of 13.5 days.