Solve forx: (x – 3)/ 3 =4​

Answer:

1st  and second, unless you have already learned area of trapezoids. If you have, add third

Step-by-step explanation:

Answer: this is ez its

first

second

third

Step-by-step explanation:

Answer:

x= 5/3

Step-by-step explanation:

You would set the equations equal to each other, so 2x + 3 = -x + 8. Then, you would add the x to the 2x making it 3x. That makes your equation 3x + 3 = 8. Then you subtract the 3 making the equation 3x = 5 and then you would divide the 3 making your answer 5/3.

Answer:

15. 155°

16. 115°

Step-by-step explanation:

15.

Use the big triangle.

At the top, the supplement of 60° is 120°.

The angle measuring 120° and the angle measuring 35° are the remote interior angles to exterior angle x.

120° + 35° = x

x = 155°

16.

See picture below.

x = 115°

Answer:

  15)  x = 155°

  16)  x = 115°

Step-by-step explanation:

The theorem that relates an exterior angle of a triangle to the opposite (remote) interior angles is helpful for these problems. It says the exterior angle is equal to the sum of the remote interior angles.

Remove the altitude line and consider the interior angle of the triangle next to the exterior angle marked 60°. That interior angle will be ...

  180° -60° = 120°

Then the angle we just found and the one marked 35° are "remote" to the exterior angle marked x. The theorem cited at the beginning tells us ...

  x = 35° +120°

  x = 155°

Extend the left side of the "parallelogram" (the side with the arrow) upward until it meets the top horizontal line. This cuts off a triangle with an exterior angle marked x, an interior angle marked 50°, and another remote interior angle at the top edge of that triangle.

The opposite angles of a parallelogram are congruent, so the external angle to the triangle at the top edge will be x, and the adjacent interior angle in the triangle will be (180° -x).

The exterior angle (x) is equal to the sum of the remote interior angles (50° and (180° -x)), so we have ...

  x = 50 +(180 -x)

  2x = 230 . . . . . . add x, simplify

  x = 115 . . . . . . . divide by 2

The measure of the angles marked x is 115°.

The dimensions of the largest rectangle that can be formed if all the sides (including the partition) sum to 600 units are 150 units x 150 units. This solution yields an area of 22,500 square units.

To find the dimensions of the largest rectangle that can be formed if all the sides (including the partition) sum to 600 units, we can use the concept of optimization. Let's assume that the rectangle has a length of L and a width of W, with a partition dividing it into two smaller rectangles.
Since all the sides (including the partition) sum to 600 units, we can express this mathematically as:
L + W + 2x = 600
where x represents the length of the partition. Rearranging the equation, we get:
L + W = 600 - 2x
The area of a rectangle is given by the formula A = L x W. To find the largest possible area of the rectangle, we need to maximize this function.
Substituting the above equation into the area formula, we get:
A = (600 - 2x - W) x W
Expanding and simplifying, we get:
A = 600W - 2W^2 - Wx
To find the maximum value of A, we can differentiate it with respect to W and set it equal to zero:
dA/dW = 600 - 4W - x = 0
Solving for W, we get:
W = (600 - x)/4
Substituting this value of W back into the equation for A, we get:
A = (600 - x)^2/16
To maximize A, we need to minimize x. Since x represents the length of the partition, this means that the partition should be as small as possible. Therefore, the largest rectangle that can be formed will be a square with sides of 150 units, and the partition will have a length of zero.
To know more about rectangle visit:

https://brainly.com/question/15019502

#SPJ11

Answer:

we dont know an exact but

Over 1 million marine animals (including mammals, fish, sharks, turtles, and birds) are killed each year due to plastic debris in the ocean

Step-by-step explanation:

Currently, it is estimated that there are 100 million tons of plastic in oceans around the world.

Answer:

over 1 million

Step-by-step explanation:

i answered this question a while ago

The correct answer is: B. The function has no local maximums and has local minimums at approximately x = 5.8 and x = 28.8 (rounded to the nearest tenth).

To determine the location of the local extrema (maxima and minima) of the function f(x) = -0.697x^3 + 16642x^2 - 102407x + 650015, we need to find the critical points where the derivative of the function is equal to zero or does not exist. First, let's find the derivative of f(x) with respect to x: f'(x) = -2.091x^2 + 33284x - 102407. To find the critical points, we set f'(x) = 0 and solve for x: -2.091x^2 + 33284x - 102407 = 0. Using the quadratic formula, we can solve for x: x = (-b ± √(b^2 - 4ac)) / (2a). Plugging in the values a = -2.091, b = 33284, and c = -102407, we can calculate the values of x: x ≈ 5.779 or x ≈ 28.755. These are the potential locations of the local extrema.

To determine whether these points are maxima or minima, we can analyze the concavity of the function. Taking the second derivative, we have: f''(x) = -4.182x + 33284. Setting f''(x) = 0 and solving for x: -4.182x + 33284 = 0; x ≈ 7963.28. Since the second derivative is negative for x < 7963.28, we can conclude that x ≈ 5.779 corresponds to a local maximum, and x ≈ 28.755 corresponds to a local minimum. Therefore, the correct answer is: B. The function has no local maximums and has local minimums at approximately x = 5.8 and x = 28.8 (rounded to the nearest tenth).

To learn more about   local maximums click here: brainly.com/question/29404086

#SPJ11

The value of u is not provided, we cannot determine the exact value of y. None of the given options (a, b, c, d) can be chosen as the approximate value of y.

For the first question, you are given the model yhat = 2.1 + 1.0x^2 and you want to find the estimated marginal effect of x on y when x = 1.3. To find the estimated marginal effect, you need to take the derivative of yhat with respect to x. In this case, the derivative would be 2.0x.

Now, substitute x = 1.3 into the derivative:

2.0(1.3) = 2.6.

Therefore, the estimated marginal effect of x on y when x = 1.3 is 2.6.

For the second question, you are given the model \(lny = β₁ + β₂x^2 + u\), with parameter estimates

β₁ = 2 and

β₂ = 1.

To predict the value of y when x = 2, substitute the given values into the model:
\(lny = 2 + 1(2^2) + u\)
lny = 2 + 1(4) + u
lny = 2 + 4 + u
lny = 6 + u

To know more about the value, visit:

https://brainly.com/question/30760879

#SPJ11

Answer:

36 degrees

Step-by-step explanation:

angle 1 and 2 are the same

good luck!

Complementary angles are of 90°.

So, angle 1 + angle 2 = 90°

=> 36° + angle 2 = 90°

=> angle 2 = 90° - 36°

=> angle 2 = 54°

As a fraction, length of the 15 rods = 8 4/7 feet

As decimal, length = 8.57 feet

initial length pipes = 4 feet

Dividing the length of the pipe into 7:

length of 15 of those rods:

The question asks you to create a confidence interval for the percentage of American households that plan to buy a new automobile next year. A survey of 1400 American homes revealed that 34% expected to purchase a new automobile in the coming year. The aim is to create a 98% confidence interval for the population share of households planning to purchase a new automobile in the coming year. The solution will be one of the offered possibilities, which are all a range of numbers that may or may not include the population proportion.

We can use the following formula to construct the confidence interval:

CI = (proportion ± z*(√(proportion*(1-proportion)/n)))

Where z is the critical value for the given confidence level, the proportion is the proportion of those who indicated they plan to buy a new car next year, and n is the sample size.

For a 98% confidence level, the critical value, z, is 2.326. Therefore, the confidence interval is (0.3074, 0.3726).

Learn more about confidence intervals:

https://brainly.com/question/17034620

#SPJ11

4. (2, 16)

The vertex of a quadratic is where the function changes directions.

Finding the Vertex

As stated the vertex is where the function changed from increasing to decreasing or vice versa. Since this graph opens downward, the vertex will be where the maximum is. The maximum occurs that (2, 16). Therefore, the vertex is also at (2, 16).

Had the quadratic opened upwards, the vertex would occur at the minimum value.

Writing the Equation

Since we know the vertex, we can find the equation for the quadratic. Quadratic formulas can be written as y = a(x - h)² + k. In this formula, a is a constant that tells us whether the graph opens up or down, h is the x-value of the vertex, and k is the y-value of the vertex. So, to find the equation, we can plug in the values we know for the vertex. Then make the a-value negative because we know the graph opens down.

Answer:

186 miles

Step-by-step explanation:

hr     |    8    |    6

miles|   248 |   x

248 divided by 8 is 31

6 times 31 is 186

x=186

Answer:

186 miles

Step-by-step explanation:

on delta math

Answer:

C.

Step-by-step explanation:

Answer:

30 miles

Step-by-step explanation:

1/4 = 2

3  3/4 = x

15/4 = x

So, Cross multiply

=> 1/4 * x = 15/4 * 2

=> 1/4x = 15/4 * 4/2

=> 1/4x = 60/8

=> 1/4x = 7.5

=> 1/4x * 4 = 7.5 * 4

=> x = 30

So, 15/4 inches on the map equals 30 miles.

The sample size necessary for a 95% confidence level with a maximal margin of error of 1.08 mg/dl is 11 blood tests.

To find the 95% confidence interval for the population mean concentration of uric acid in the patient's blood, we can use the formula:
Lower limit =\(x - (Z * (σ / √n))\)
Upper limit =\(x + (Z * (σ / √n))\)

Where:
- x is the sample mean concentration of uric acid (5.45 mg/dl)
- Z is the Z-score associated with a 95% confidence level (1.96 for a 95% confidence level)
- σ is the population standard deviation (1.81 mg/dl)
- n is the sample size (the number of blood tests taken by the patient)

Plugging in the given values, we have:
Lower limit = \(5.45 - (1.96 * (1.81 / √15))\)
Upper limit = \(5.45 + (1.96 * (1.81 / √15))\)

Calculating the values, we get:
Lower limit ≈ 4.38 mg/dl
Upper limit ≈ 6.52 mg/dl

Therefore, the 95% confidence interval for the population mean concentration of uric acid in this patient's blood is approximately 4.38 mg/dl to 6.52 mg/dl.

To calculate the margin of error, we can subtract the lower limit from the upper limit:
Margin of error ≈ 6.52 - 4.38 ≈ 2.14 mg/dl

Therefore, the margin of error is approximately 2.14 mg/dl.

The conditions necessary for these calculations are:
- Normal distribution of uric acid (e)
- Σ is unknown (a)
- N is large (d)

Now, let's interpret the results in the context of this problem:
a. We are 95% confident that the true uric acid level for this patient falls within this interval.
b. The probability that this interval contains the true average uric acid level for this patient is 0.95.
c. The probability that this interval contains the true average uric acid level for this patient is 0.5.
d. We are 5% confident that the true uric acid level for this patient falls within this interval.

The correct interpretation is a. We are 95% confident that the true uric acid level for this patient falls within this interval.

To find the sample size necessary for a 95% confidence level with a maximal margin of error of E = 1.08, we can use the formula:

\(n = ((Z * σ) / E)²\)

Where:
- Z is the Z-score associated with a 95% confidence level (1.96 for a 95% confidence level)
- σ is the population standard deviation (1.81 mg/dl)
- E is the maximum margin of error (1.08 mg/dl)

Plugging in the given values, we have:
n = ((1.96 * 1.81) / 1.08)²

Calculating the value, we get:
n ≈ 10.78

Since the sample size needs to be a whole number, we round up to the nearest whole number.

Therefore, the sample size necessary for a 95% confidence level with a maximal margin of error of 1.08 mg/dl is 11 blood tests.

To know more about blood visit-

https://brainly.com/question/14781793

#SPJ11

People may have a bias towards whether they read fast or slower on purpose because they believe they will retain more information that way (each person is different). If your taking a wpm test, for example, you won't pay attention to comprehension, only speed. Another bias is the type of book your reading and whether you enjoy it. Studies prove that you tend to soak in more information and read faster when you are enjoying the book.

IfIf a free kick is given in a soccer game where the player taking the kick is 14 yards from the left post. How far is the kicker from the right post, to the nearest yard is: A. 23 yards.

Using sine theorem

Let Left triangle=3/sinx=14/sin∝

Let Right triangle=5/sinx=y/sin(180°-∝°)

Let Sin∝°=sin(180°-∝°)  sinx=sinx

Let y represent how far is the kicker

Hence:

3/5=14/y

y=5×14/3

y=70/3

y=23.3333

y=23 yards (Approximately)

Therefore If a free kick is given in a soccer game where the player taking the kick is 14 yards from the left post. How far is the kicker from the right post, to the nearest yard is: A. 23 yards.

Learn more about Distance of the kicker from the right post here:https://brainly.com/question/26416446

#SPJ1

Select Stat >Basic Statistics >1-Sample Z to run a hypothesis test for the population mean when the population standard deviation is provided.

If your data is already organized in a column, type its name into the Samples in columns: box. Alternatively, if you are familiar with the summary statistics, click the arrow next to Summarized data and type the values for the Sample size and Mean into the appropriate fields. In all situations, fill out the Standard deviation box with the population standard deviation value. In the box labelled "Test mean:," type the value from the null hypothesis. Then, from the Alternative box, click the Options button and choose the relevant alternate theory. In each window, press OK. The output, which contains the p-value for the test, will show up in the Session window. You can decide something based on this p-value.

To know more about standard deviation here

https://brainly.com/question/475676

#SPJ4

Answer:

3.75

Step-by-step explanation:

1.25 times 3

Answer:

$3.33

Step-by-step explanation:

In order to find the unit rate, you divide the price of the product by the amount of it (oz, lbs, etc.) In this case, divide 1.25/12. You get 0.104. Then, multiply the single unit cost by 32. This results in 3.33. This means that your cost for a 32 ounce soda would be $3.33. Hope this helps :)

Answer:

-2

Step-by-step explanation:

BODMAS Rule : Brackets, Order, Division, Multiplication, Addition, Subtraction

2-1x2 = 0

-2x3+4 = -2

Answer:

0.38

Step-by-step explanation:

Answer:

0.38

Step-by-step explanation:

Convert fraction (ratio) 19 / 50 Answer: 38%

Answer:

- 1

Step-by-step explanation:

Multiplying a negative quantity by a negative quantity results in a positive.

Also multiplying by 1 leaves the other value as is, then

- 1 × - \(\frac{7}{11}\) = \(\frac{7}{11}\)

Answer:

\(\dfrac{1}{6}\)

Step-by-step explanation:

\(1-\dfrac{1}{3} =\dfrac{3}{3} -\dfrac{1}{3} =\dfrac{2}{3} \: - it \: is \: of \: the \: pie \: was \: left \: after \: Jeremy \: had \: his \: share.\)

\(\dfrac{2}{3} \times \dfrac{1}{4} =\dfrac{2}{12}=\dfrac{1}{6} - Sara \: ate.\)

So, Sara ate 2/3 × 1/4 = 1/6

2/3 of the pie was left after Jeremy had his share.

So, Sara ate 2/3 × 1/4 = 1/6.

Given that, Jeremy ate 1/3 of the apple pie,

so, she left = 1 - 1/3 = 3-1/3 = 2/3

i.e. Jeremy ate leaving 2/3 of the pie remaining.

now, we have, Sara ate 1/4 of the remainder (2/3).

To find out how much Sara ate, we multiply 1/4 by 2/3:

(1/4) * (2/3) = 2/12 = 1/6

So, Sara ate 1/6 of the pie.

Now, let's find out what fraction of the pie was left after Jeremy had his share:

Original pie = 1 whole pie = 1/1

Jeremy ate 1/3 of the pie,

so, she left = 1 - 1/3 = 3-1/3 = 2/3

i.e. Jeremy ate leaving 2/3 remaining.

Now, after Sara ate 1/6 of the pie, the fraction left is:

Remaining fraction = (2/3) - (1/6) = (4/6) - (1/6) = 3/6 = 1/2

So, after Sara had her share, 1/2 of the pie was left.

To learn more on fraction click:

brainly.com/question/10354322

#SPJ4

The height of the cube brick is 7 units and the volume is equal to 343 unit³

The volume of a cube is defined as the total number of cubic units occupied by the cube. The formula is given as V = a³ where "a" is the length of edge or sides.

The length of an edge for the cube brick is 7 units which implies the height represented by h is also 7 units and the volume is calculated as follows:

volume of cube brick = 7 units × 7 units × 7 units

volume of cube brick = 343 units ³

Therefore, the height of the cube brick is 7 units and the volume is equal to 343 unit³

Learn more about volume of cube here: https://brainly.com/question/1972490

#SPJ1

take side as a

volume of cube=a×a×a

= 13×13×13

Answer:

123 this is a good idea to make sure you have the best time ever.

Two rays with a common endpoint form an angle. An angle is defined as a geometric figure formed by two rays that share a common endpoint. In other words, an angle is formed when two rays emanating from a common point, and this common point is known as the vertex.

The rays are the sides of the angle, and the angle is measured in degrees. Angles have different measures, ranging from 0 degrees to 360 degrees. The two rays that make up an angle are also called the sides or arms of the angle. The angle is measured in degrees, and the size of the angle depends on the distance between the two sides of the angle that meet at the vertex.

In geometry, an angle can be named in different ways, depending on the context in which it is being used. Angles are essential in mathematics, physics, and other scientific fields, where they are used to measure the rotation of an object, determine the direction of an object, and in other applications involving rays and lines. Two rays with a common endpoint form an angle.

Learn more about rays from the given link

https://brainly.com/question/13144568

#SPJ11

About 17.45% of the bottles contain less than the labelled amount of 100 ml.

To find this proportion, we first standardize the labeled amount of 100 ml to a z-score using the formula z = (x - mu) / sigma, where x is the labelled amount, mu is the mean, and sigma is the standard deviation.

z = (100 - 101.5) / 1.6 = -0.9375

We then find the area under the standard normal distribution curve to the left of this z-score using a standard normal distribution table or calculator. This area is approximately 0.1745, which means that about 17.45% of the bottles contain less than the labeled amount of 100 ml.

The value of c is approximately 104.456 ml.

To find this value, we first need to find the z-score that corresponds to the upper 2.5% of the standard normal distribution. Using a standard normal distribution table or calculator, we find that this z-score is approximately 1.96.

We then use the same formula as before, z = (x - mu) / sigma, to solve for the corresponding value of c in milliliters.

1.96 = (c - 101.5) / 1.6

Solving for c, we get:

c = 1.96 * 1.6 + 101.5 = 104.456

Therefore, if only 2.5% of the bottles have contents that exceed a specified amount, that amount is approximately 104.456 ml.

For more similar questions on probability:

brainly.com/question/13604758

#SPJ11