write an equation in slope intercept form for the line that has a slope of 4 and passes through the point (3,24)​

The value of z in the equation 1/3(6z + 7.2) = 0.5(8z + 2) - 0.4 is z=0.9

How to solve the equation?

1/3(6z + 7.2) = 0.5(8z +2) -0.4

(6/3)z + 7.2/3 = (8/2)z + 2/2 - 0.4

2z + 2.4 = 4z + 1 - 0.4

2z - 4z = 0.6 - 2.4

-2z = -1.8

z= 0.9

Hence, the value of z in the equation 1/3(6z + 7.2) = 0.5(8z + 2) - 0.4 is z=0.9

To know more about equation check the below link:

https://brainly.com/question/26310043

#SPJ1

The right answer, based on the provided assertion, is (C) R(x) = 2.6³ˣ⁻⁸.

Mathematical expressions consist of at least two integers or factors, a minimum of one math procedure, and a sentence. It's possible to multiply, divide, add, or remove with this mathematical procedure. An expression's form is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

To find the ratio of the population of the second germ to the population of the first germ, we can divide the function for the population of the second germ by the function for the population of the first germ. That is:

R(x) = B(x) / A(x)

Plugging in the given functions, we get:

R(x) = (x+1) / (1.3)ˣ⁺⁹

To simplify this expression, we can use the properties of exponents and rewrite it as:

R(x) = 2.6ˣ⁻⁸

Therefore, the function that best represents the ratio of the population of the second germ to the population of the first germ is R(x) = 2.6ˣ⁻⁸

So, the correct option is (C) R(x) = (2.6)³ˣ⁻⁸.

To know more about Expression visit:

https://brainly.com/question/1859113

#SPJ1

Answer:

0.58333333333

Answer: 10

Step-by-step explanation:

Answer: A

Step-by-step explanation:

The quotient is the result of the division between two numbers.

Answer:

n/3

Step-by-step explanation:

When you divide you get a quotient.

n divided by 3 will equal a quotient.

Based on the Pythagorean theorem, in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side. So, we can use this to find the possible values of the third side of the triangle.

The two given sides are 15 cm and 17 cm. We can label the unknown side as "x". Then, we can set up an equation:

15^2 + 17^2 = x^2

Simplifying this equation, we get:

225 + 289 = x^2

514 = x^2

x = sqrt(514)

Therefore, the possible value of the third side that would make it a right triangle is approximately 22.72 cm.

Answer:

divide the numerator by the denomantor

Step-by-step explanation:

A fraction in which the numerator is smaller than the denominator, like 1/3 or 2/5 is called a proper fraction. A fraction in which the numerator is larger than or equal to the denominator, like 5/2, 17/3, or 6/6 is called an improper fraction. (To put it another way, a fraction with a value less than 1 is a proper fraction. A fraction with a value greater than or equal to 1 is an improper fraction.)

As we have shown above, mixed numbers can be written as improper fractions. Similarly, improper fractions can be written as mixed numbers.

1. Move the negative sign to the left.

- \(\frac{19}{8}\)\(X\)*-50

2. Use this rule: \(\frac{a}{b}\)\(*\)\(\frac{c}{d}\)=\(\frac{ac}{bd}\)

-\(\frac{19x*-50}{8}\)

3. Simplify -  \(\frac{-950x}{8}\)

4. Move the negative sign to the left.

-(-950x/8)

5. Simplify 950x/8 to 475x/4

6. Remove parentheses.

Answer:

x =23/11, y =4/11

Step-by-step explanation:

subtract equation 1 from equation 2

2x-x + 5y-(-3) =6-1

x + 8y = 5

make x the subject of formula

x = 5-8y(equation#)

substitute x = 5-8y in equation 1

5-8y-3y = 1

5-11y = 1

collect like terms

5-1 = 11y

4= 11y

divide both sides by 11

4/11 = 11y/11

y = 4/11

put y = 4/11 in equation #

x = 5-8(4/11)

x = 5-32/11

LCM= 11

x = 55-32/11

x = 23/11

so, x =23/11, y = 4/11

This means that when function f(x) = 4x²- 1 and g(x) = 4x + 8, f(2) - g(2) = 15, and by using the equation as a substitute.

what is function ?

A function in mathematics is a relationship between a set of inputs (also referred to as the domain) and a set of outputs (also referred to as the range), where each input has a unique outcome. Typically, the variable x stands for the input values, the variable y for the output values, and the variable f for the function itself (x). Tables, graphs, equations, and verbal descriptions can all be used to represent functions. In a wide variety of disciplines, including science, engineering, economics, and social studies, they are employed to model relationships between quantities. Functions are frequently used to explain the relationship between two quantities.

given

We must first determine the values of f(2) and g(2) independently using the provided functions in order to evaluate f(2) - g(2):

f(2) = 4(2)² - 1 = 15

g(2) = -4(2) + 8 = 0

These values can now be added to the expression f(2) - g(2) as a substitute:

f(2) - g(2) = 15 - 0 = 15

This means that when f(x) = 4x²- 1 and g(x) = 4x + 8, f(2) - g(2) = 15, and by using the equation as a substitute.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

Answer:    A

Step-by-step explanation:

Answer:

10 tshirts or 5 sweatshirts

Step-by-step explanation:

One t-shirt + one sweatshirt = $30.

We know that $100 ÷ $30 = 3 times with $10 left over.

This leads to the conclusion that you can buy 4 t-shirts and 3 sweatshirts.

The explicit rule of the sequence is aₙ=1/2.(4)ⁿ⁻¹ .

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The nth term of the sequence is aₙ=4(aₙ₋₁)

The first term of sequence is a₁=1/2

The general term of geometric sequence is aₙ=a.rⁿ⁻¹

It means that we multiply 4 to the previous term to get the next term. so, the common ratio is r= 4

aₙ=a.rⁿ⁻¹

Now substitute the first term and common ratio in the nth term expression.

aₙ=1/2.(4)ⁿ⁻¹

Hence, aₙ=1/2.(4)ⁿ⁻¹ is the explicit rule of the sequence.

To learn more on Sequence click:

https://brainly.com/question/21961097

#SPJ1

Step-by-step explanation:

what is the question ?

how much water does the full bucket contain ?

if so, then I understand that

11 2/3 gallons = 5/6 bucket

(11×3 + 2)/3 gallons = 5/6 bucket

35/3 gallons = 5/6 bucket

what do we need to do to get 1 bucket (5/5 or 6/6 or 3/3 or ...) on the right side ?

we multiply everything by 6/5 :

35/3 × 6/5 gallons = 5/6 × 6/5 bucket

(6×35)/(5×3) gallons = 1 bucket

(2×7)/(1×1) gallons = 1 bucket

14 gallons = 1 bucket

the bucket can contain 14 gallons of water.

Answer:

3) 8^10

Step-by-step explanation:

Use formula: (same base)

a^m × a^n = a^m+n

So,

8^3 × 8^7 = 8^3+7

= 8^10

Answer:

i think the answer is 79

Step-by-step explanation:

im not really sure,

Answer:

B, C, E, & F

Step-by-step explanation:

Option A is incorrect because the equation Ax = b is referred to as a matrix equation, not a vector equation.

Option B is correct. If Ax = b has a solution, vector b will a linear combination of columns of matrix A.

Option C is correct. In a matrix equation, product Ax when defined, is a sum of products.

Option D is incorrect. If an augmented matrix [Ab] had a pivot position in every row, there could be a pivot in the last column which would make it inconsistent.

Option E is correct. If the columns of an m×n matrix A span\( R^m\), then the equation Ax=b is consistent for each b in

Option F is correct. IfA is an m x n matrix whose columns do not span, then the equation Ax = b is inconsistent for some b in \( R^m\)

Options B, C, E, and F are correct.

Answer:

The total interest earned at the end of the year was $ 820, and the interest generated by the total deposited was 10.25%.

Step-by-step explanation:

Given that last year, Manuel deposited $ 7000 into an account that paid 11% interest per year and $ 1000 into an account that paid 5% interest per year, and no withdrawals were made from the accounts, to determine what was the total interest earned at the end of year and what was the percent interest for the total deposited, the following calculations must be performed:

7000 x 0.11 + 1000 x 0.05 = X

770 + 50 = X

820 = X

8000 = 100

820 = X

820 x 100/8000 = X

82,000 / 8,000 = X

10.25 = X

Therefore, the total interest earned at the end of the year was $ 820, and the interest generated by the total deposited was 10.25%.

Answer:

-3

Step-by-step explanation:

Solving the first part: 8+(-3):

As we know, a + and a - together result in a single -.

So, 8+(-3) is the same as 8-3, which is equal to 5.

Similarly, solving the second part: 5+(-8):

We can simplify this to 5-8 which gives us -3.

Therefore, your final answer will be -3.

Hope this helps!

i) the original distance when the lighthouse is due West of the ship is 7 km

ii) The time in minutes when the lighthouse is due West of the ship is 21 minutes

iii) The distance in km of the ship from the lighthouse when the lighthouse is due West of the ship is 29.97 km

To solve this problem, we'll use the concepts of relative velocity and trigonometry. Let's break down the problem into three parts:

i) Finding the original distance when the lighthouse is due West of the ship:

The ship's velocity is given as 21 km/h at a bearing of 052°. Since the ship observed the lighthouse due North, we know that the angle between the ship's initial heading and the lighthouse is 90°.

To find the distance, we'll consider the ship's velocity in the North direction only. Using trigonometry, we can determine the distance as follows:

Distance = Velocity * Time = 21 km/h * (20 min / 60 min/h) = 7 km (to three significant figures).

ii) Finding the time in minutes when the lighthouse is due West of the ship:

To find the time, we need to consider the change in angle from 052° to 312°. The difference is 260° (312° - 052°), but we need to convert it to radians for calculations. 260° is equal to 260 * π / 180 radians. The ship's velocity in the West direction can be calculated as:

Velocity in West direction = Velocity * cos(angle) = 21 km/h * cos(260 * π / 180) ≈ -19.98 km/h (negative because it's in the opposite direction).

To find the time, we can use the formula:

Time = Distance / Velocity = 7 km / (19.98 km/h) = 0.35 h = 0.35 * 60 min = 21 minutes (to three significant figures).

iii) Finding the distance in km of the ship from the lighthouse when the lighthouse is due West of the ship:

We can use the formula for relative velocity to find the distance:

Relative Velocity = sqrt((Velocity in North direction)² + (Velocity in West direction)²)

Using the values we calculated earlier, we have:

Relative Velocity = sqrt((21 km/h)² + (-19.98 km/h)²) ≈ 29.97 km/h (to three significant figures).

Therefore, the ship is approximately 29.97 km away from the lighthouse when the lighthouse is due West of the ship.

For more question on distance visit:

https://brainly.com/question/30395212

#SPJ8

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

Answer:

d = 102 m

Step-by-step explanation:

A cross-country skier moves 36 meters eastward, then 44 meters westward, and finally 22 meters eastward. We need to find the distance covered by the skier. We know that, the distance covered by an object is equal to the sum of its journey. So,

distance = 36 m + 44 m + 22 m

Distance = 102 m

So, the skier's distance covered is 102 m.

Answer:

76

Step-by-step explanation:

10+9= 19

19*4=76

Answer:

76

Step-by-step explanation:

1 Simplify  10+910+9  to  1919.

4\times 19

4×19

2 Simplify.

76

76

The value of the product of the number as given in the task content is; Choice B; 1.

It follows from the task content that the numbers whose product are to be determined are; ¾ and 1⅓.

To effectively multiply, we must convert the mixed number to a fraction as follows;

1⅓ = 4/3.

Hence, the product is; 4/3 × 3/4 = 12/12 = 1.

Read more on product of numbers;

https://brainly.com/question/10873737

#SPJ1

The inequality tha calculates the possible values of x is x < 2

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

Read more about inequality at

https://brainly.com/question/32124899

#SPJ1

The translation of the statement is: Half the sum of the age of Francis and Yancy equals Francis' age less 5 multiplied by Bella's age

The equation is given as:

1/2(f + y) = f - 5b

Before translating the equation, we make use of the following representations:

Using the above representations, we can translate the statement as:

Half the sum of the age of Francis and Yancy equals Francis' age less 5 multiplied by Bella's age

Read more about algebraic expressions at:

https://brainly.com/question/4344214

#SPJ1

Any line with a slope different than 3 will intercept the given line only once.

The answer will be any line that is not parallel (nor the same) to the given line.

Remember two lines are parallel if the lines have the same slope and different y-intercept

In this case, the given linear equation is:

6x - 2y = 10

y = 3x - 5

So the slope is 3 and the y-intercept is -5.

Then, any line with a slope different than 3 will intercept this line only once.

An example can be:

y = 314*x

If you want to learn more about linear equations:

https://brainly.com/question/4025726

#SPJ1

to find the value of XZ, we will use the trigonometric ratio

By substituting the values, we will have

Hence,

The value of YZ= 5.196