Divide 1 1/3 ÷ 2A. 3/2 B. 4/3 C. 5/3 D. 2/3

Answer:

\(y=-\frac{2}{3}x+1\)

Step-by-step explanation:

Let the equation of the line given in the graph is,

y = mx + b

Where 'm' is the slope of the line

And 'b' represents the y-intercept

Since slope of a line passing through two points \((x_1, y_1)\) and \((x_2,y_2)\) is modeled by,

m = \(\frac{y_2-y_1}{x_2-x_1}\)

If this line passes through (-3, 3) and (3, -1),

m = \(\frac{3+1}{-3-3}\)

m = \(-\frac{4}{6}\)

   = \(-\frac{2}{3}\)

And 'b' = 1

Equation of this line will be,

\(y=-\frac{2}{3}x+1\)

The equation of the parabola that opens to the right, has a focus (-1, -3), and a focal diameter of 8 is y = (1/16)x²+ (10/16)x - (23/16)

To determine the equation of a parabola that opens to the right, has a focus at (-1, -3), and a focal diameter of 8

we can use the standard form of the equation for a parabola with a horizontal axis:

(x - h)² = 4p(y - k)

Where (h, k) is the vertex of the parabola and p is the distance from the vertex to the focus.

Since the parabola opens to the right, the vertex will be to the left of the focus.

Therefore, the vertex will be at (-1 - p, -3).

The focal diameter is given as 8, which means the distance between the vertex and the focus is p = 8/2 = 4.

Plugging these values into the equation, we have:

(x - (-1 - 4))² = 4 × 4 × (y - (-3))

Simplifying:

(x + 5)² = 16(y + 3)

x² + 10x + 25 = 16y + 48

Rearranging to isolate y:

16y = x² + 10x + 25 - 48

16y = x² + 10x - 23

Dividing by 16:

y = (1/16)x² + (10/16)x - (23/16)

Therefore, the equation of the parabola that opens to the right, has a focus (-1, -3), and a focal diameter of 8 is y = (1/16)x²+ (10/16)x - (23/16)

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.

An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.

Here,

This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.

To know more about equation,

https://brainly.com/question/2228446

#SPJ9

Answer:

158 m²

Step-by-step explanation:

I made this into 3 rectangles.

Figure 1:

9•8=72

The 9 is from the 13 m side, but I've taken 4 m off from the overlapping square.

Figure 2:

6•7=42

The 7 is from the 10 m side, but I've taken 4m off from the overlapping square again.

Remaining Area:

If you extend the lines into figures 1 and 2 from the top left corner and bottom right corner vertically, you will get a rectangle that is (11 m) x (4 m). This is not yet accounted for.

11•4=44

Add together: 72 + 42 + 44 = 158

*Note: You could also find the area of the squares a much easier way by subtracting the overlapping part after finding the area of both figures , but this is how I did it*

1/3 of a gallon divided by 3 gallons = 1/9

Answer:

1/3 is for 3 gallons is 1/9

Answer:

162 hours

Step-by-step explanation:

1 day= 24 hours

24 times 6= 144

144 + 18= 162

\( \huge \mathtt \green{Question}\)

Lynn's cruise lasted 6 day 18 hr. Convert the time to hours.

\( \huge \mathtt \green {Answer}\)

We know that 1 day = 24 hr.

So, 6 days = 24 × 6

= 144

So, 6 days 18 hr = 162 hr

Answer:

9a + 3b + 6c

Step-by-step explanation:

4a-6b+9c + 5a+9b-3c

4a + (-6b) + 9c + 5a + 9b + (-3c)

(4a + 5a) + (-6b+9b) + (9c-3c)

9a + 3b + 6c

Answer:

the person below is correct I believe

Step-by-step explanation:

hope this helped have a good rest of your night :)❤

Lucio is 64 meters from the starting point.

The square has four sides of equal length, so Lucio has walked half the length of one side.

To return to the starting point, he needs to walk the other half of the side, which is 64 meters.

The angle Lucio turns is irrelevant, as long as he turns 180 degrees in total.

With this in mind, it can be seen that based on the parameters and the conditions, Lucio is 64 meters from the starting point because the angle to which he turns is irrelevant.

Read more about angles here:

https://brainly.com/question/25716982

#SPJ1

The question in English:

In a square Lucio walks in straight sections, starting from the flagpole, at one point he changes direction turning 150º to his left, advances 64 meters and stops. To return to the pole you have to turn 75º to the left. How far are you from the starting point?

A formula that gives the amount is

The half life of the element is calculated from the formula

N(t) = N'(1/2)^(t/t')

where

N(t) = quantity of the substance remaining

N' = initial quantity of the substance

t = time elapsed

t' = half life of the substance

Plugging the values from the problem

N(t) = ?

N' = 70 grams

t = t

t' = 2.6 years

N(t) = 70 (0.5)^t/2.6

Learn more about half life here:

https://brainly.com/question/29580188

#SPJ1

Answer:

(2^3t•2^t)/16 isn't a not equivalent

Answer:

Step-by-step explanation:

8.008.009

Answer:

A = 35 cm²

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

by counting the squares on the sides

length = 7 cm and width = 5 cm , then

A = 7 × 5 = 35 cm²

Answer:

This is indeed a function!

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-1-5)/2 = -6/2= -3

(-5+9)/2 = 4/2 = 2

(-3, 2)

Answer:

(2,-5)

Step-by-step explanation:

To solve this, simply substitute the values for x and y. The only one that works is (2,-5).

-5 = -2(2) -1

-5 = -4 - 1

-5 = -5

Answer:

A) f(2) = 20

B) g(2) = 2

C) f(2) + g(2) = 22

Step-by-step explanation:

For part A, you change the x to become 2, to have the equation of 5(2)+10. You then solve in order to get 20.

For part B, I'm not exactly sure what the equation is, but you do the same thing for part A. Since there is no x variable then just keep the answer you have. Meaning it is 2

Finally, part C is adding your answers from part A and part B to get the final answer of 22.

Answer:

4m = 56

Step-by-step explanation:

4 * m = 56

4m = 56

4/4m = 56/4

m = 14

Answer:

option 1 I think i have had this before

Answer:

8.57

Step-by-step explanation:

\( \frac{x}{12} = \frac{5}{7} \\ 7x = 60 \\ x = 8.5714\)

Answer:

The remainder is 9

Step-by-step explanation:

x-7=0

x=7

Plug x=7 into the given fxn

-2(7)²+15(7)

-2(49)+105

-96+105

9

Answer:

  $4121.61

Step-by-step explanation:

Use the formula for the balance of an ordinary annuity.

  A = P((1 +r/n)^(nt) -1)/(r/n)

  A = $1000((1 +.04/2)^(2·2) -1)/(.04/2) ≈ $4121.61

The future value of the account is $4121.61.

The sine and cosine of the angle of point P are sin θ = 143/145 and cos θ = -24/145 respectively. Option b. is the answer

Given the coordinate of the point as P (-24/145, 143/145)

This implies x = -24/145 and y =  143/145

To determine the sine and cosine of the angle of point P, we can make a sketch using this information (see attached image).

opposite = 143/145, adjacent = -24/145

hypotenuse = √[(-24/145)² + (143/145)²] = √1 = 1

Using trigometric ratios:

sin θ =   (143/145) / 1 = 143/145    [sin θ = opposite/ hypotenuse]

cos θ =  (-24/145) / 1 = -24/145    [cos θ = adjacent/ hypotenuse]

Learn more about trigonometry on:

brainly.com/question/29354606

#SPJ1

Answer:

y= 0.5 x +2

Step-by-step explanation:

the line crosses the Y line at 2 so you add +2 to the end.   Then you see how far up the line goes every vertical line.

Answer:

y= 0.5 x +2

Step-by-step explanation:

The incorrect statement is:

B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.

In the given statement, there is an error in the inequality. The correct statement should be:

The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.

When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:

- 5x < 15x^2 and 15x^2 < 3

Simplifying the first inequality:

- 5x < 15x^2

Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:

- 5 < 15x

Simplifying the second inequality:

15x^2 < 3

Dividing by 15, we get:

x^2 < 1/5

Taking the square root (assuming x ≥ 0), we have two cases:

x < 1/√5 and -x < 1/√5

Combining these inequalities, we get:

- 5 < 15x and x < 1/√5 and -x < 1/√5

Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.

For more such questions on inequality

https://brainly.com/question/30681777

#SPJ8

Answer:

x = 5

y = 1

Step-by-step explanation:

2x - y = 9

3x + 4y = 19

We multiply the first equation by 4

8x - 4y = 36

3x + 4y = 19

11x = 55

x = 5

Now we put 5 in for x and solve for y

2(5) - y = 9

10 - y = 9

-y = -1

y = 1

Let's Check the answer

2(5) - 1 = 9

10 - 1 = 9

9 = 9

So, x = 5 and y = 1 is the correct answer.

Answer:

30

Step-by-step explanation:

150/5 = 30

30+30+30+30+30 = 150

Answer:

g(6) = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

g(n) = n + 2

g(6) is n = 2

Step 2: Evaluate

The angle between the vectors a and b is approximately 142.2° (to the nearest degree).

The angle between two vectors can be found using the dot product formula:

cos(θ) = (a, b) / (||a|| ||b||)

where θ is the angle between the vectors a and b, (a. b) is the dot product of the vectors, and ||a|| and ||b|| are the magnitudes of the vectors.

So, for the given vectors a = [1, -4, 1] and b = [0, 5, -5],

cos(θ) = (a. b) / (||a|| ||b||) = ([1, -4, 1]. [0, 5, -5]) / (sqrt (1^2 + (-4) ^2 + 1^2) * sqrt (0^2 + 5^2 + (-5) ^2))

= (-20) / (sqrt (26) * sqrt (50)) = -20 / (2 * sqrt (13) * sqrt (2) * 5)

= -20 / (2 * sqrt (13) * 5 * sqrt (2)) = -20 / (10 * sqrt (13))

The angle θ can be found using the inverse cosine function:

θ = arccos(cos(θ))

So,

θ = arccos(-20 / (10 * sqrt (13)))

Approximating to the nearest degree using a calculator or a table of inverse cosine values, we find that.

θ ≈ 142.2°

To know more about Vectors:

https://brainly.com/question/29740341

#SPJ4