PLEASE HELP IM BEING TIMED

Answer:

a) if x = 2, y = -1

b) y = 5

Step-by-step explanation:

12x - 4y = -20 Let's substitute x = 2

12(-2) - 4y = -20 Multiply

-24 - 4y = -20 Add 24 to each side

-4y = 4 Multiply each side by -1

4y = -4 Divide by 4

y = -1

now to solve for y in general:

12x - 4y = -20 Subtract 12x

-4y = -20 - 12x Divide by -4

y = 5 + 3x Sub 0

y = 5 + 3(0)

y = 5

Answer:

The speed of the plane in the still air is 420 miles/hour

The speed of the wind 60 miles/hour

Step-by-step explanation:

Let the speed of the plane with the wind be v

Let the speed of the plane against the wind be u

Now, speed = distance/time

With the wind,

v = (1440 miles)/(3 hours) = 480 miles/hour

v = 480 miles/hour

Against the wind,

u = (1440 miles)/(4 hours) = 360 miles/hour

u = 360 miles/hour

Now, let the speed of plane be p, and speed of wind be w,

Now, with the wind, the speed is 480 mph,

so,

speed of plane + speed of wind = 480 mph

p + w = 480  (i)

and against the wind, the speed is 360 mph,

so,

speed of plane - speed of wind = 360mph

p-w = 360 (ii)

adding equations (i) and (ii), we get,

p+w + p-w = 480 + 360

2p = 840

p = 840/2

p = 420 miles/hour

Then, the speed of the wind will be,

p + w = 480,

420 + w = 480

w = 480 - 420

w = 60 miles/hour

The speed of the plane in still air is calculated to be 420 mph, and the speed of the wind is calculated to be 60 mph by solving the two simultaneous equations obtained from the time, rate, and distance relationship.

This problem is about the rate, time, and distance relationships. The rate at which the airplane travels in still air is r (unaffected by wind), and the speed of the wind is w. When the plane flies with the wind, it is 'assisted' and therefore travels faster - at a speed of (r + w); against the wind, it travels slower - at a speed of (r - w).

From the problem, we know that:

By solving these two equations, we get the following:

Adding these two gives 2r = 840 => r = 420 mph (the speed of the plane in still air), and subtracting gives 2w = 120 => w = 60 mph (the speed of the wind).

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The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

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Answer:

B is the answer

Step-by-step explanation:

f(x) = 20x + 4

       20(0) + 4 = 0 + 4 = 4

        20(1) + 4 = 20 + 4 = 24 . . .

Answer:

w = 4√2

Step-by-step explanation:

2w^2 - 64 = 0

=> 2w^2 = 64

=> w^2 = 32

=> w = √ 32

=> w = √ [(2 x 2) x (2 x 2) x 2]

=> w = 2 x 2 x √ 2

=> w = 4√2

Answer:

Oldest to newest:

10^-35, 10 ^-10, 0

Step-by-step explanation:

Scientific notation

To figure out the power of 10 think "how many places do I move the decimal point?"

When the number is 10 or greater the decimal point moves to the left, and the power of 10 is positive.

When the number is smaller than 1 the decimal point moves to the right, so the power of 10 is negative.

Answer:

10 pounds of potatoes would cost $15.

Step-by-step explanation:

Set up proportion.

4/6=10/x

simplify 4/6 into 2/3,

2/3=10/x

cross product,

2*x=3*10

2x=30

x=30/2

x=15

lemme just add some to the great reply above,

\(\begin{array}{ccll} lbs&\$\\ \cline{1-2} 4&6\\ 10&x \end{array}\implies \cfrac{4}{10}=\cfrac{6}{x}\implies 4x = 60\implies x = \cfrac{60}{4}\implies x = 15\)

Answer:

% error = 3.3%

Step-by-step explanation:

Percent Error Formula:

% error = ( (MeasuredValue - AcceptedValue) / AcceptedValue ) * 100

% error = ( (12.7 - 12.3) / 12.3 ) * 100

% error =  (0.4/12.3) * 100

% error = (0.03252033) * 100

% error = 3.25203252

% error = 3.3%

James earned a $13 per hour rate and Alex earned a $12 per hour rate thus option (A) is correct.

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change concerning time.

For example the speed 3meter/second.

As per the given number of hours and money earned table.

For James,

Rate of change or earned per hour = 26/2 = $13

For Alex,

Rate of change or earned per hour = 36/3 = $12

Hence "James earned a $13 per hour rate and Alex earned a $12 per hour rate".

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A) All x- and y-intercepts include the following:

x-intercepts: none.

y-intercept: 1.

B) The equation for vertical asymptote is x = 4 and the equation for horizontal asymptote is y = 0.

C) The domain and range of f are:

Domain = [-∞, 4) U [4, ∞]

Range = [0, ∞]

In Mathematics, the x-intercept is the point at which the graph of a function crosses or touches the x-coordinate and the y-value or value of "y" is equal to zero (0).

Part A.

Based on the graph of this rational function, the x-intercept and y-intercept include the following:

x-intercept: none.

y-intercept: 1.

Part B.

An equation that represents the vertical asymptote is x = 4 while the equation represents the horizontal asymptote is y = 0 because the line does not cross those points.

Part C.

By critically observing the graph of this rational function, we can logically deduce the following domain and range:

Domain = [-∞, 4) U [4, ∞] or {x|x ≠ 4}.

Range = [0, ∞] or {y|y ≥ 0}.

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Answer:

0.78 x 30 = 23.4. I think 23.4 is 78 % of 30.

Step-by-step explanation:

Answer:

074°

Step-by-step explanation:

the bearing of Y from X is the measure of the angle from the north line (N) at X in a clockwise direction to Y , that is ∠ NXY

∠ NXY = 180° - 106° = 74°

the 3- figure bearing of Y from X is 074°

Answer:

104.8cm³(1 decimal place)

Step-by-step explanation:

Volume of a cone is given by the formula

V=1/3πr²h

we are given a radius of 5 and a height of 4 so we will just substitute for the values and we will give our pie as 22/7

V=1/3× 22/7×5²×4

V=1/3 × 22/7 ×25 ×4

V=2200/21

V=104.76190476

V=104.8cm³(1decimal place)

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Answer:

18.99 miles

Step-by-step explanation:

6.74 + 7.3 + 4.95 = 18.99 miles

Answer:

1.029 is greater than 1.0275

Step-by-step explanation:

Answer:

1.029

Step-by-step explanation:

What is greater 1.0275 or 1.029

.027 < .029

So, 1.029 is greater.

Answer:

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 3 on the left side and the dividend 78 on the right side like this:

   3 ⟌ 7 8  

Step 2:

The divisor (3) goes into the first digit of the dividend (7), 2 time(s). Therefore, put 2 on top:

       2    

   3 ⟌ 7 8  

Step 3:

Multiply the divisor by the result in the previous step (3 x 2 = 6) and write that answer below the dividend.

       2    

   3 ⟌ 7 8  

       6    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (7 - 6 = 1) and write the answer below.

       2    

   3 ⟌ 7 8  

     - 6    

       1    

Step 5:

Move down the 2nd digit of the dividend (8) like this:

       2    

   3 ⟌ 7 8  

     - 6    

       1 8  

Step 6:

The divisor (3) goes into the bottom number (18), 6 time(s). Therefore, put 6 on top:

       2 6  

   3 ⟌ 7 8  

     - 6    

       1 8  

Step 7:

Multiply the divisor by the result in the previous step (3 x 6 = 18) and write that answer at the bottom:

       2 6  

   3 ⟌ 7 8  

     - 6    

       1 8  

      1 8  

Step 8:

Subtract the result in the previous step from the number written above it. (18 - 18 = 0) and write the answer at the bottom.

       2 6  

   3 ⟌ 7 8  

     - 6    

       1 8  

     - 1 8  

         0  

The measure of length of x of the parallelogram is x = 2.36 units

Given data ,

Let the parallelogram be represented as ABCD

Now , the measure of lengths of the sides are

The measure of AB = 13x - 20

The measure of CD = 2x + 6

The measure of BC = 5x + 4

Opposite sides are parallel

Opposite sides are congruent

So , AB = CD

13x - 20 = 2x + 6

Subtracting 2x on both sides , we get

11x = 26

Divide by 11 on both sides , we get

x = 2.36 units

Hence , the parallelogram is solved and x = 2.36 units

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Answer:

So Sara can fill 24 pint bottles completly with 3 gallons of juice.

Step-by-step explanation:

This question can be solved using a rule of three.

Each pint has 0.125 gallons. How many pints are 3 gallons?

1 pint - 0.125 gallons

x pints - 3 gallons

\(0.125x = 3\)

\(x = \frac{3}{0.125}\)

\(x = 24\)

So Sara can fill 24 pint bottles completly with 3 gallons of juice.

Answer:

A function means that we get one input and one output.  In this example that means for every x-value that we have, we only have one y-value.

Looking at the first option, we can see that there is no x-value that has more than one y-value which means that it is a function.

The rest of the options are seen with at least two values for one x-value in one of the points.  Therefore, they wouldn't be considered a function leaving us with only option A as the solution.

Answer:

slope = 2

y-intercept= -4

Step-by-step explanation:

slope = y2- y1/ x2-x1

slope = 4-(-4) / 4-0

slope = 2

using (4,4) for (x,y)

y= mx+b

4= 2(4)+b

b= -4

The value of x in the lines is 126 degree

We are given that;

Three parallel line and one intersecting line

Angles= (x-6) and 60

Now,

By supplementary angles property

Angle 1 + Angle 2 = 180 degree

Substituting the values of angles

x-6 + 60 = 180

x + 54 = 180

x = 180-54

x = 126

Therefore by supplementary angles answer will be 126 degree.

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The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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Answer:

The sequence is increasing by 5 at each step. So, we can write:

a1 = 30

a2 = 30 + 5 = 35

a3 = 30 + 25 = 40

a4 = 30 + 35 = 45

a5 = 30 + 4*5 = 50

We notice that the nth term is given by:

an = 30 + (n-1)5

So, the explicit formula for the nth term is:

an = 25n + 5

Answer:

Left tailed.

Step-by-step explanation:

A claim (alternative hypothesis) is set against the null hypothesis.

The claim (alternative hypothesis) of the  golf analyst is that the standard deviation of the​ 18-hole scores for a golfer is  less than 2.1 strokes

Ha: Sd< 2.1

The null hypothesis will be opposite of the alternate hypothesis

H0: sd ≥ 2.1

A test for which the entire rejection region is located in only one of the two tails - either left or right- is called one tailed test.

In the given example the acceptance region is located in the area greater or equal to 2.1 . The rejection region lies to the left and the acceptance region lies to the right.

As the rejection region lies to the left, it is a left tailed test.

Also if the alternative hypothesis contains equality less than it is left tailed.

Answer:

y = 2x + 3

Step-by-step explanation:

You can find the slope on the graph by looking at the points. From one point to the next you go Up2Over1.

Up2Over1 is the slope and in actual algebra it is 2/1, which is just 2.



The slope is 2. Fill in 2 in place of m in

y = mx + b

y = 2x + b

Next the y-intercept which is the b, can also be seen on the graph. The y-intercept is where the graph crosses the y-axis. The line crosses the y-axis at 3. Fill in 3 in place of the b.

y = 2x + 3

Answer:

The value of y is - 11

Step-by-step explanation:

The first statement is written as

6y + x = -62.......... equation 1

The second statement is written as

x - y = 15 ........ equation 2

To find y make x the subject in the second equation and substitute it into the first equation

That's

x = 15 + y

6y + x = - 62

6y + 15 + y = -62

7y = -62 - 15

7y = - 77

Divide both sides by 7

y = - 11

Hope this helps you.

Answer:

One possible equation that represents the data in the table is: y = 4x^2.

Answer:

1. y' = 3x² / 4y²

2. y'' = 3x/8y⁵[(4y³ – 3x³)]

Step-by-step explanation:

From the question given above, the following data were obtained:

3x³ – 4y³ = 4

y' =?

y'' =?

1. Determination of y'

To obtain y', we simply defferentiate the expression ones. This can be obtained as follow:

3x³ – 4y³ = 4

Differentiate

9x² – 12y²dy/dx = 0

Rearrange

12y²dy/dx = 9x²

Divide both side by 12y²

dy/dx = 9x² / 12y²

dy/dx = 3x² / 4y²

y' = 3x² / 4y²

2. Determination of y''

To obtain y'', we simply defferentiate above expression i.e y' = 3x² / 4y². This can be obtained as follow:

3x² / 4y²

Let:

u = 3x²

v = 4y²

Find u' and v'

u' = 6x

v' = 8ydy/dx

Applying quotient rule

y'' = [vu' – uv'] / v²

y'' = [4y²(6x) – 3x²(8ydy/dx)] / (4y²)²

y'' = [24xy² – 24x²ydy/dx] / 16y⁴

Recall:

dy/dx = 3x² / 4y²

y'' = [24xy² – 24x²y (3x² / 4y² )] / 16y⁴

y'' = [24xy² – 18x⁴/y] / 16y⁴

y'' = 1/16y⁴[24xy² – 18x⁴/y]

y'' = 1/16y⁴[(24xy³ – 18x⁴)/y]

y'' = 1/16y⁵[(24xy³ – 18x⁴)]

y'' = 6x/16y⁵[(4y³ – 3x³)]

y'' = 3x/8y⁵[(4y³ – 3x³)]