graph the line 2x+4y=6

Answer:

16.66 %

Step-by-step explanation:

1 / 6 as a percent

= ( 1 / 6 ) x 100

= 100 / 6

= 16.66 %

Answer:

111.548

-------------------------------

Subtract 201 from 89.

\(201 - 89 = 112\)

we can estimate the answer will be close to 112

Next, work with the decimals. Note that the more you subtract, the bigger the decimal places get.

\(0.768 - 0.316 = 0.452\)

Round 0.452 up from the hundredths place to nearest tenths place.

\(0.452 = 0.5\)

Since the decimal place is bigger, estimate 0.55 instead.

Subtract 0.22

\(0.55 - 0.2 = 0.548\)

Add this number to 112

\(112 + 0.548 = 112.548\)

Subtract 1 because of the estimate.

\(112 - 1 = 111\)

Therefore, we have 111.548 based off of subtracting and estimating in a specific method.

Answer:

7

Step-by-step explanation:

The amount of force used to pull the cart from 60 N to 90 N, the new acceleration of the cart is, 1.5 m/s²

The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.

Formula of force,

F = ma

Given that,

A man pulled a cart filled with stones that had a total mass of 60 kg

He increased the amount of force used to pull the cart from 60 N to 90 N

New acceleration of cart = ?

F  = ma

Old acceleration,

60  = 60a

a   =  1 m/s²

New acceleration,

90 = 60a

a   = 90/60

a   =  3/2

a   =  1.5 m/s²

Hence, the new acceleration is 1.5 m/s²

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p(red) as a decimal 0.6

p(red) as a percentage is 60%

And subscribe this channel

Sweet Poison Glmv

Answer:

23 students

Step-by-step explanation:

Keep in mind 13 students DONT have pets, so these 13 students aren't part of the 63 students that have at least one pet.

63-21-19=

63-(21+19)=

63-40=23 students

There are a total of 40 students that don't have just cats.

There are 23 students remaining.

Answer: 67

Step-by-step explanation: 128+64+32+16+8+4+2+1

                                                =0 + 1 + 1  + 0 + 0+1+1+1

                                                  =67

Answer:

30

Step-by-step explanation:

150/5 = 30

Answer: 30

Step-by-step explanation:

By graphing or visualizing the parabolic shape, we can observe where the graph intersects the x-axis, which represents the solutions to the equation. In this case, the solutions are x = -3 and x = 1.

To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, we can plot the graph of the equation and find the x-values where the graph intersects the x-axis.

First, let's rearrange the equation to the standard form: x^2 + 2x - 3 = 0.

We can create a graph by plotting points for different values of x and then connecting them. However, I can describe the process and the key points on the graph.

1. Find the x-intercepts: These are the points where the graph intersects the x-axis. To find them, set y (the equation) equal to zero and solve for x:

  0 = x^2 + 2x - 3.

  This quadratic equation can be factored as (x + 3)(x - 1) = 0.

  Therefore, x = -3 or x = 1.

2. Plot the points: Plot the points (-3, 0) and (1, 0) on the graph. These are the x-intercepts.

3. Draw the graph: The graph of the equation x^2 + 2x - 3 = 0 is a parabola that opens upward. It will pass through the x-intercepts (-3, 0) and (1, 0).

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Answer:

sorry im late but the awnser is B.

Step-by-step explanation:

i got this right on edge anywho if you found this helpful follow nah im kiding

Answer:

B

Step-by-step explanation:

The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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It should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

It should be noted that a graph is a diagram that is used to show the relationship that exists between the data presented or the information.

In this case, ut should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

The graph is attached below.

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With the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.

So, gallons of water used to wash 14 loads are:

Therefore, with the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.

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Answer:

40.32

Step-by-step explanation:

I hopped I helped! <3

       The equation representing the relationship between Electricity and  Gas used, and your Bill is:

      T  =  0.25 * k + 0.97 * t

        Make a plan:

We need to find the equation that represents the relationship between the total monthly bill (T), The Kilowatt Hours of Electricity used (k), and the Terms of Gas used (t).

T  =  0.25  *  k  +  0.97  *  t

1 - Write the Equation for the cost of Electricity:

        0.25 * k

2 - Write the Equation for the Cost of Gas:

       0.97 * t

3 - Combine the Equations to Represent the total Monthly Bill (T):

       T  =  0.25 * k + 0.97 * t

Hence,  The equation representing the relationship between Electricity and  Gas used, and your Bill is:

       T  =  0.25 * k + 0.97 * t

I hope that helps!

The values of the trigonometry functions are sin(θ) = 3/√13, cos(θ) = 2/√13, tan(θ) = 3/2, csc(θ) = √13/3, sec(θ) = √13/2 and cot(θ) = 2/3

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

The right triangle

The hypotenuse of the right triangle is calculated as

h² = 2² + 3²

When evaluated, we have

h = √13

The values of the trigonometry functions are then evaluated as

sin(θ) = 3/√13

cos(θ) = 2/√13

tan(θ) = 3/2

csc(θ) = √13/3

sec(θ) = √13/2

cot(θ) = 2/3

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Answer:

B

Step-by-step explanation:

The value of p is -3/2, the value of q is -1/(t+1), and the value of r is 2.

Let the first term of the arithmetic series be a, and the common difference be d = 3. Then, we have:

a = 2t + 1

n-th term = a + (n-1)d = 2t + 1 + 3(n-1) = 3n + (2t - 2)

(Notice that the second equation can be found by substituting the expression for a into the formula for the n-th term and simplifying.)

We also know that the n-th term is given by (14t - 5), so we can equate the two expressions:

3n + (2t - 2) = 14t - 5

Simplifying and solving for n, we get:

n = (12t + 3)/3 = 4t + 1

So, the n-th term can also be expressed as:

3n + (2t - 2) = 3(4t + 1) + (2t - 2) = 14t - 5

Simplifying, we get:

14t - 5 = 14t - 5

This confirms that our expressions for the first term, common difference, and n-th term are all consistent with each other.

Now, we can use the formula for the sum of an arithmetic series to find the sum of the first n terms:

S_n = (n/2)(2a + (n-1)d) = (n/2)(4t + 4t + 1 + 3n - 3) = (3/2)n^2 + (5/2)t - 3n/2 + 1/2

We want to rewrite this expression in the form p(qt - 1)^r. To do this, we can try to complete the square in the n term, like this:

S_n = (3/2)[n^2 - 2n(t+1) + (t+1)^2] + (5/2)t - (3/2)(t+1)^2 + 1/2

S_n = (3/2)[n - (t+1)]^2 - (1/2)(t+1)^2 + (5/2)t + 1/2

Let u = n - (t+1), so that:

S_n = (3/2)u^2 - (1/2)(t+1)^2 + (5/2)t + 1/2

We want to rewrite this in the form p(qt - 1)^r, so let's try to match the terms:

p = -3/2

q = -1/(t+1)

r = 2

Therefore, the value of p is -3/2, the value of q is -1/(t+1), and the value of r is 2.

Note that the assumption that t is greater than 0 was not necessary for the derivation of the sum formula, but it is necessary for the existence of the arithmetic series (since otherwise the first term would be negative).

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The text format of the question in the picture:

22. The first term of an arithmetic series is (2t + 1) where t is > 0 The nth term of this arithmetic series is (14t - 5)

The common difference of the series is 3

The sum of the first n terms of the series can be written as p(qt - 1)^r where p, q and r are integers.

Find the value of p, the value of q and the value of r Show clear algebraic working.

The value of the square root of 7 is,

⇒ √7 = 2.645

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

WE have to given that;

To find the value of the square root of 7 .

Since, the square root of 7 is,

⇒ √ 7

⇒ 2.645

Thus, The value of the square root of 7 is,

⇒ √7 = 2.645

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Answer:

1/64

Step-by-step explanation:

1/4*1/4*1/4 since as you tell me there are

2 of each, which is 1/4 I will do the same thing 3 times.

Answer:

6,000

Step-by-step explanation:

1784+4668=6452

6452 rounded to the nearest thousand is 6,000

9.30232558% | 2 d.p (9.3%)

First add all of the votes together.

= 86

Put 86 as a denominator and place 8 (amount of votes for home) as a numerator.

We have \(\frac{8}{86}\)

Simplify this into:

\(\frac{4}{43}\)

Now convert this into a percentage by doing

4 ÷ 43

x 100

= 9.3

Answer:

-24

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

she only has $60 to spend therefore, she has the option of spending all of it, or less. However she cannot spend money she doesn't have.

Answer:

I think it's B

Step-by-step explanation:

(So far she has spent $45.95, plus the extra gift, and that has to equal less than or equal to $60) =

45.95 + extra gift (x) ≤ 60

Given:

We know that:

So the peak voltage can be calculated using the maximum value of the sine function (1 in this case). Then:

Answer: 4.5

Step-by-step explanation:

2 cups of flour = 1 cup of water

9 cups of flour/2 cups of flours = 4.5

4.5 cups of water for 9 cups of flour

Ok, here we have a volume related question, so in this case is needed find the amount of candy in the box, so let's do it:

To find the amount of sweets, first we will find those of a layer, and then we multiply the result by the number of layers.

We know that a layer has 6 rows and 11 columns of sweets, then the number of candies in a layer will be the result of multiplying the number of rows by the number of columns.

So we have this:

Since we know the number of candies in a layer, let's multiply by three which is the total of layers.

Total Candies=66*3=198

So, the correct answer is A.

Answer:

this is D y=4x+1

Step-by-step explanation:

4*1 + 1 = 5

4*2 + 1 = 9

4*3 + 1 = 13

etc

Answer:

  8x^2 -14x +3 = 0

Step-by-step explanation:

The sum of the roots is (3/2) +(1/4) = (6/4 +1/4) = 7/4.

The product of the roots is (3/2)(1/4) = 3/8.

The quadratic can be written as ...

  x^2 -(sum of roots)x +(product of roots) = 0

  x^2 -7/4x +3/8 = 0

Multiplying by 8 makes all of the coefficients be integers:

  8x^2 -14x +3 = 0