why is that the answe for c and d are like that

Answer:

y = -x - 2

Step-by-step explanation:

Use equation: y = mx + b, where "m" is the slope and "b" is the y intercept. You are given a slope of -1 for the m. This is usually expressed as just a "-", as the 1 is inferred.

Since you are given a point, plug the x and y values in to the equation.

-7 = -(5) + b

Solve for b:

-7 = -5 + b

-2 = b

Knowing "m" and "b", plug these in to get your final equation

y = -x - 2

Solving a system of equations we can see that:

We can use the variables:

x = mass of the 60% solution.

y = mass of the 85% solution.

We can write a system of equations.

x + y = 70

x*0.6 + y*0.85 = 70*0.8

We can isolate x on the first equation to get:

x = 70 - y

Replace that in the other one:

(70 - y)*0.6 + y*0.85 = 70*0.8

Now we can solve this for y.

y*0.25 = 70*0.8 - 70*0.6

y = 14/0.25 = 56

Then he needs to use 56 ounces of the 85% solution, and 14 ounces of the 60% solution.

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

Answer:

It cannot be used to assess individual renal function or degree of obstruction. Sulfadiazine stones are also difficult to visualize on CT because of relatively low attenuation. It is relatively expensive.

Answer:

will you help me with grade 9 math, algebra 2 please

Step-by-step explanation:

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

MARK AS BRAINLIEST!!!

Answer:

Step-by-step explanation:

The coordinates of E and F are:

Find the slope:

Use point-slope form and point E:

Convert into slope-intercept form:

The matching choice is C

Equation in two points form

\(\\ \tt\longmapsto y+4=\dfrac{4+4}{4-3}(x-3)\)

\(\\ \tt\longmapsto y+4=8(x-3)\)

\(\\ \tt\longmapsto y+4=8x-24\)

\(\\ \tt\longmapsto 8x-y=28\)

\(\\ \tt\longmapsto y=8x-28\)

Answer:

total cost = sell price + (sell price * 0.07)

Answer: 15s - 100= 350

Step-by-step explanation:

i did it and got it right

Equation represents the situation 15s-100=350

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

The complete situation is:

Rory sold T-shirts at a festival for $15 each. He paid $100 in materials and fees.

Rory's profit after the festival was $350.

Now, Let s equal the number of shirts sold.

The total cost will be =15s

As he paid $100 in materials and fees.

so,

= 15s-100

The equation which represent the situation is :

15s-100= 350.

Learn more about this algebra here:

https://brainly.com/question/953809

#SPJ2

Answer:

y- intercept = - 14

Step-by-step explanation:

the y- intercept is the point on the y- axis where the line crosses.

at any point on the y- axis, the x- coordinate is zero.

let x = 0 in the equation and solve for y , the y- intercept

5(0) - 2y = 28

0 - 2y = 28

- 2y = 28 ( divide both sides by - 2 )

y = - 14 ← y- intercept

Answer:

sorry wish i knew the answer

Step-by-step explanation:

Area and circumference of the circle are 78.5 m² and 31.4 m respectively.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that, a circle have a radius 5 m

Area of a circle = π × radius²

Circumference = 2π×radius

Area = 3.14 × 5² = 3.14 × 25 = 78.5 m²

Circumference = 3,14 × 2 × 5 = 31.4 m

Hence, area and circumference of the circle are 78.5 m² and 31.4 m respectively.

Learn more about circle, click;

https://brainly.com/question/29142813

#SPJ1

El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.

Por otro lado, el número "cuarenta mil dos" se representa como 40,002.

Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.

Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.

Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.

En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.

Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.

Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.

En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.

Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).

For similar questions on Novecientos

https://brainly.com/question/1753221

#SPJ8

Answer:

hypotenuse leg theorem or OHL

Step-by-step explanation:

Since the congruent angle is a right angle and it is not included, the two congruent sides of the triangles must include their hypotenuses and one of their legs.

The triangles would be congruent by the hypotenuse leg theorem, which states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, the triangles are congruent.

The congruence theorem that can be used to prove both triangles are congruent is: AAS

As per this theorem the two triangles are congruent if two angles and a side not between these two angles of one triangle are congruent to two corresponding angles and the corresponding side not between the angles of the other triangle.

This one denotes Angle - Angle - Side and it means that if 2 angles and the non-included side of a triangle are equal to corresponding 2 angles and the non-included side of another triangle, then they are both congruent.

When we have two triangles in which the two angles and a non-included side of one is congruent to the corresponding two angles and corresponding non-included side of the other, both triangles can be proven to be congruent by the AAS Congruence Theorem.

Since the two sides and the non-included side of one triangle is congruent to the corresponding two sides and the non-included side of the other, the congruence theorem that can be used to prove both triangles are congruent is: AAS

Find out more information about congruence Theorem here

https://brainly.com/question/19258025

#SPJ3

Answer: 120 yds

Step-by-step explanation:

48+30+24+18+120 yds

Answer:

  5.8

Step-by-step explanation:

The angle bisector makes the triangle sides on either side of it proportional.

  AC/CD = AB/BD

  AC = CD·AB/BD

  AC = 2(8.1/2.8) = 8.1/1.4 ≈ 5.7857 . . . . substitute shown values, evaluate

  AC ≈ 5.8

In the given triangles,

∠B = ∠A

∠T = ∠M

Since, two angles of a triangle are equal, the third angle will also be equal.

Also, ΔLBT is similar to ΔHAM ........(by Angle - Angle similarity)

Now,

⇒ LB/HA = BT/AM = LT/HM ..........(Sides of similar triangles are proportional)

⇒ LB/HA = BT/AM

⇒ 4/HA = 6/10

⇒ 10 x 4 = HA x 6

⇒ HA = 40/6

⇒ HA = 20/3

⇒ HA = 6 2/3

To learn more about Similar triangles, refer to:

https://brainly.com/question/25882965

#SPJ9

Rounded to the nearest dollar, the average daily balance of the credit card for the August 1 through August 31 billing period is $74.

To find the average daily balance of the credit card for the August 1 through August 31 billing period, we need to calculate the sum of the daily balances and divide it by the number of days in the billing period.

Let's calculate the daily balances for each day:

Day 1: Closing Balance = $850

Day 8: Closing Balance = $300

Day 16: Closing Balance = $500

Day 24: Closing Balance = $650

To calculate the daily balances, we need to consider the activities that occurred on each day.

On Day 1, there was no activity recorded, so the closing balance remains at $850.

On Day 8, a payment of $550 was made. Therefore, the closing balance is $850 - $550 = $300.

On Day 16, a purchase of $200 was made. Therefore, the closing balance is $300 + $200 = $500.

On Day 24, a purchase of $150 was made and an adjustment of $4 was applied. Therefore, the closing balance is $500 + $150 - $4 = $650.

Now, let's calculate the average daily balance:

Sum of daily balances = $850 + $300 + $500 + $650 = $2300

Number of days in the billing period = 31

Average daily balance = Sum of daily balances / Number of days = $2300 / 31 ≈ $74.19

For more such questions on balance

https://brainly.com/question/11070711

#SPJ8

Answer:

7/16

Step-by-step explanation:

(15/16 - 1/16)

(15 - 1)/16 = 14/16 = 7/8

•°• = 7/8

Here is your answer!!

Answer:

\(= 4a^{2} + 12ab + 9b^{2}.\)

Step-by-step explanation:

\((2a+3b)^{2}\)

\(= (2a + 3b) (2a + 3b)\)

\(= 4a^{2} + 6ab + 6ab + 9b^{2}\)

\(= 4a^{2} + 12ab + 9b^{2}.\)

The likelihood of  profit and loss in the following week is 18.75%. The Option D is correct.

A probability means the branch of math which deals with finding out the likelihood of the occurrence of an event. Its measures the chance of an event happening.

To get  probability of the company making a profit and then making a loss in two consecutive weeks, we need to multiply the probabilities of each event occurring.

The probability of making a profit in one week is 0.75

The probability of making a loss in the following week will be:

= 1 - 0.75

= 0.25.

So, probability of the company making a profit in one week and then making a loss in the following week is:

= 0.75 * 0.25

= 0.1875

= 18.75%.

Read more about probability

brainly.com/question/13604758

#SPJ1

The simplified expression is  c²a³ - 3\(a^4\)c +  a²bc² - a³bc  - 3\(a^4\)b+ 4ab²c² - 22a²b²c + 36a³b + 12a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²).

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

c +6b/(-2bc-6ab- 3a²) + 2b/(a² + 2ab) - b/(ac - 3a²)

Now, simplifying

(c+ 6b) (a² + 2ab)(ac - 3a²) + 2b(-2bc-6ab- 3a²)(ac - 3a²)- b (-2bc-6ab- 3a²)(a² + 2ab) / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= ca² + abc + 6a²b + ab² (ac - 3a²) + (4b²c - 12ab² - 6a²b)(ac - 3a²) - ( -2b²c - 6ab² - 3a²b)(a² + 2ab) / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= c²a³ - 3\(a^4\)c + a²bc² - 3a³bc + 6a³bc - 18\(a^4\)b + 4ab²c² - 12a²b²c - 12 a²b²c+ 36a³b - 6a³bc + 18\(a^4\)b + 2a²b²c +  4a³bc + 6a³b² + 12a²b³  - 3\(a^4\)b + 6a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= c²a³ - 3\(a^4\)c +  a²bc² - a³bc  - 3\(a^4\)b+ 4ab²c² - 22a²b²c + 36a³b + 12a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ1

According to the information given in the exercise: About 47 million people (of a total of 74 million people) in the age group 21-24, have some college experience but no college degree.

Let be "x" the percent of the people in the age group 21-24 that have some college experience but have not earned a college degree.

Analyzing the information provided, you can identify that 74 million people in the age group 21-24 is the 100%. Then, you can set up the following proportion:

Now you can solve for "x":

Therefore, the answer is: 63.5%

Answer:

Step-by-step explanation:

to find the missing values, plug in the given values into the equation:

x-3y=4

the first ordered pair:

we are given a y-value (-2), so lets plug it into the equation:

x-3*(-2)=4

now solve for the missing value:

x+6=4

x=4-6

x=-2

now plug in both x and y and check if the equation is true:

(-2)-3*(-2)=4

-2+6=4

6-2=4

4=4

the first ordered pair is (-2, -2)

the second ordered pair:

we are given a x-value (4), so lets plug it into the equation:

(4)-3y=4

now solve for the missing value:

-3y=4-4

-3y=0

y=0/-3

y=0

now plug in both x and y and check if the equation is true:

(4)-3*(0)=4

4-0=4

4=4

the second ordered pair is (4,0)

Answer:

the answer is 220

Step-by-step explanation:

the formula for surface area of a rectangular prism is A=2(wl+hl+hw)

w = width

h= height

l = length

and when you have those lengths, you have to substitute.

Based on the information provided, the missing number would be number 6.

When it comes to finding missing numbers, the first step is to decipher or identify the pattern. This can be either a sequence of numbers or the application of a specific mathematical operation such as subtraction or addition.

In this case, we can see there is a sequence of numbers that seems to go from 1 to 9. However, if you check carefully, the number 6 is missing, which is the number you need to add.

Learn more about numbers in https://brainly.com/question/24908711

#SPJ1

Answer: 3/2

Step-by-step explanation:

Slope is the coefficient in front of x, slope tells you how you move when plotting on a graph.

Answer:

B (1, -3)

Step-by-step explanation:

Step 1:  Use the midpoint formula to find the coordinates of the endpoint:

Normally, we find the midpoint of a segment using the midpoint formula, which is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:

x-coordinate of B:

x-coordinate of midpoint = (x1 + x2) / 2

(-2 = (-5 + x2) / 2) * 2

(-4 = -5 + x2) + 5

1 = x2

Thus, the x-coordinate of the endpoint B is 1.

y-coordinate of B:

y-coordinate of midpoint = (y1 + y2) / 2

(2 = (7 + x2) / 2) * 2

(4 = 7 + x2) -7

-3 = y2

Thus, the y-coordinate of the endpoint B is -3.

Thus, the coordinates of the endpoint B are (1, -3).

Answer:

0.8488 = 84.88% probability that it will be found by at least one test.

Step-by-step explanation:

Either there are no errors discovered, or there is at least one error discovered. The sum of the probabilities of these outcomes is 1.

Probabilities of no errors discovered:

If there is an error, these tests will discover it with probabilities 0.1, 0.2, 0.3, 0.4, and 0.5. So, of not discovering the errors, the probabilities are: 0.9, 0.8, 0.7, 0.6, 0.5.

The probabilities of none discovering the error is:

\(p = 0.9*0.8*0.7*0.6*0.5 = 0.1512\)

(a) by at least one test

None: 0.1512

At least one: 1 - 0.1512 = 0.8488

0.8488 = 84.88% probability that it will be found by at least one test.

The domain of the composite functions:

a). (f + g)(-2) = 23

b). (f - g) (-2) = 1

c). f(x) - g(x) = x² - 5x - 13

A function is composite when the co- domain of the first mapping is the domain of the second mapping

Given the functions f(x) = x² - 4x and g(x) = x + 13, we shall evaluate the domains of the functions as follows:

a). (f + g)(-2) = (-2)² - 4(-2) + (-2) + 13

(f + g)(-2) = 4 + 8 - 2 + 13

(f + g)(-2) = 23

b). (f - g) (-2) = (-2)² - 4(-2) - (-2) - 13

(f - g)(-2) = 4 + 8 + 2 - 13

(f - g) (-2) = 1

c). f(x) - g(x) = x² - 4x - x - 13

f(x) - g(x) = x² - 5x - 13

Therefore, the domain of the composite functions:

a). (f + g)(-2) = 23

b). (f - g) (-2) = 1

c). f(x) - g(x) = x² - 5x - 13

Read more about composite function here:https://brainly.com/question/10687170

#SPJ1