5x_-2+X=9+3x_+10 cuál es

Therefore ,the solution of the given problem of triangle comes out to be

area is 84 inch square.

Since a triangle has number of sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker assigned to a triangle that has edges A, B, and C. So when three components are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and triple corners. The points where the three parts meet are known as the triangle's corners. The product of three triangle angles is 180 degrees.

Here,

Given : 7 inch , 25 inch and 24 inch.

To find the area of the triangle :

vertices are 7inch , 25inch and 24inch

Since from given vertices we can see it is an right angle triangle:

thus,

=> Area = 1/2 * base * height

=> Area = 1/2 * 24 * 7

=> Area = 12*7

=> Area = 84 inch square

Therefore ,the solution of the given problem of triangle comes out to be

area is 84 inch square.

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Answer:

\( x \leqslant \sqrt{5}\) ​

Step-by-step explanation:

Hope this helped!

Answer:

39 cm

Step-by-step explanation:

The perimeter of a rectangle is given as 2 (w + l) or 2w + 2l, where w and l are the sides.

Let us use w as 3 cm.

The perimeter of the rectangle is 2(3) + 2l = 6 + 2l

6 + 2l = 84 cm

We move the 6 to the left hand side and it goes from positive to negative.

2l = 84 - 6cm

2l = 78 cm

Divide both sides by 2.

l = 39 cm

There you have the answer for side l.

Hope this helps.

The temperature at 8:00 A.M. was 15°C.

Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.

We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C

3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.

Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C

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Answer:

136 tickets

ithink

Step-by-step explanation:

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Answer:

f⁻¹(x) = ± √x-6

Step-by-step explanation:

f(x) = x² + 6

y = x² + 6

x = y² + 6 ... replace x and y

solve y: y² = x - 6

y (f⁻¹(x)) = ± √x-6

Answer:

3183.96 cm³

Step-by-step explanation:

The formula for volume of a cylinder is: V = pi times r² times h.

Hope it helps!

Answer:

12742

Step-by-step explanation:

i used a volume calculator hope this helps though :)

The median will be greater than the mean in a left-skewed distribution

We have,

In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.

A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.

When the data is skewed left, it means that the distribution is being pulled towards the left side.

This is because there are a few extreme values on the left side that are pulling the mean in that direction.

In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.

For a left-skewed distribution,

The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.

In a data distribution that is skewed left, the mean will be less than the median.

This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.

Therefore,

The median will be greater than the mean in a left-skewed distribution

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The value of the angle S in the parallelogram is 45°.

Given is a parallelogram QRST where angle T = 135° we need to find the value of angle S,

Since the angle S and T are the adjacent angles and we know that the adjacent angles in a parallelogram are supplementary,

So,

∠T + ∠S = 180°

135° + ∠S = 180°

∠S = 45°

Hence the value of the angle S in the parallelogram is 45°.

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Answer:

3 GB

Step-by-step explanation:

If the cell phone plan cost $30 per month

then subtracting this amount from $60  we have

$60 - $30 = $30

it 1 GB costs $10

therefore dividing this amount with $30

we have

$30/$10 = 3

Alejandro can only afford 3GB per month.

Answer:

The 80% confidence interval for the population proportion of oil tankers that have spills each month is (0.199, 0.257).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

Suppose a sample of 333 tankers is drawn. Of these ships, 257 did not have spills.

333 - 257 = 76 have spills.

This means that \(n = 333, \pi = \frac{76}{333} = 0.228\)

80% confidence level

So \(\alpha = 0.2\), z is the value of Z that has a pvalue of \(1 - \frac{0.2}{2} = 0.9\), so \(Z = 1.28\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.228 - 1.28\sqrt{\frac{0.228*0.772}{333}} = 0.199\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.228 + 1.28\sqrt{\frac{0.228*0.772}{333}} = 0.257\)

The 80% confidence interval for the population proportion of oil tankers that have spills each month is (0.199, 0.257).

Answer:

(C) Sophie used the wrong height for the pyramid.

Step-by-step explanation:

she should have subtracted 4 from 30 because that was apart of the prism

The total volume is 7448  cubic millimeters. Sophie has made mistake in copying height of pyramid.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, a rectangular prism with a length of 28 millimeters, width of 21 millimeters, and height of 4 millimeters.

Volume of rectangular prism = Length×Width×Height

= 28×21×4

= 2352 cubic millimeters

A rectangular pyramid with a base of 28 millimeters by 21 millimeters and height of 26 millimeters.

Volume of a rectangular pyramid = (lwh)/3

= (28×21×26)/3

= 15288/3

= 5096 cubic millimeters

Total volume = 2352+5096

= 7448  cubic millimeters

Hence, Sophie has made mistake in copying height of pyramid.

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Answer:

Hari saves $ 10,320 in a year.

Step-by-step explanation:

Given that Hari earns $ 4300 per month, and he spends 80% from his income, to determine how much amount does he save in a year, the following calculation must be performed:

100 - 80 = 20

4300 x 0.20 x 12 = X

860 x 12 = X

10320 = X

Therefore, Hari saves $ 10,320 in a year.

Answer:

The GCF for the numerical part is 4 . The factors for x2

Step-by-step explanation:

Step-by-step explanation:

For every 3 squares across, the line drops by 1 square.

Therefore the slope of the lina is -1/3.

The y-intercept of the line is -8 (when x = 0)

The equation of the line is y = -1/3 x - 8.

Step-by-step explanation:

still can't see the table with the values in it.

Answer:

\( P = 2*7 + 2*5 \)

\( P = 14 + 10 \)

\( P = 24 inches \)

Step-by-step explanation:

Lenght (l) of rectangle = 7 inches

Width (w) of rectangle = 5 inches

Perimeter (P) of rectangle is given as \( P = 2l + 2w \)

Plug in the values of l and w into the formula:

\( P = 2*7 + 2*5 \)

Multiply each

\( P = 14 + 10 \)

Add together

\( P = 24 inches \)

Answer:

- 8a²

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{(m - n)}\)

given

\(\frac{80a^9}{-10a^7}\)

= \(\frac{80}{-10}\) × \(a^{(9-7)}\)

= - 8 × a²

= - 8a²

Answer:

RR = 0.4

RB = 0.3

BB = 0.22

BR = 0.30

Step-by-step explanation:

P( Urn 1 ) = 2/6 = 1/3

P( Urn 2 ) = 1 - 1/3 = 2/3

Urn 1 contains : 3 blue and 2 red

P( blue | urn 1 ) = 3/5 ( with replacement ) , P( blue | urn 1 ) = 3/4 ( without replacement )

P( red | urn 1 ) = 2 / 5 ( with replacement ) , P(red | urn 1 ) = 1/2 ( without replacement )

Urn 2 contains : 2 blue and 4 red

P ( blue | urn 2 ) = 1/3 ( with replacement ) , P( blue | urn 2 ) = 2/5 ( without replacement )

P ( red | urn 2 ) = 2/3 ( with replacement) , P( red | urn 2 ) = 4/5 ( without replacement )

Determine

i) Possible outcomes when two tokens are drawn from either Urn without replacement

RR = [[ ( 2/5 * 1/3 ) + ( 2/3 * 2/3 ) ] * [( 1/2 * 1/3 ) + ( 4/5 * 2/3 ) ]] = 0.4

RB = [[ (2/5 * 1/3 ) + ( 2/3 * 2/3 ) ] * [ ( 3/4 *1/3 ) + ( 2/5 * 2/3 ) ]] ≈ 0.3

BB = [[ ( 3/5 * 1/3 ) + ( 1/3 * 2/3 ) ] * [ ( 3/4 *1/3 ) + ( 2/5 * 2/3 ) ]] ≈ 0.22

BR = [[ ( 3/5 * 1/3 ) + ( 1/3 * 2/3 ) ] * [ ( 1/2 * 1/3 ) + ( 4/5 * 2/3 ) ]] ≈ 0.30

Answer:

x= 0 y = 3

Step-by-step explanation:

i hope it helped u!!

Answer:

True

Step-by-step explanation:

The perimeter of the triangle is 30 units

The vertices are (−7,−1), (5,−1), and (5,4).

Start by calculating the distance between the vertices using:

\(d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2\)

So, we have:

\(d1 = \sqrt{(-1 + 1)^2 + (5 + 7)^2\)

d1 = 12

\(d2 = \sqrt{(-1 - 4)^2 + (5 - 5)^2\)

d2 =5

\(d3 = \sqrt{(-1 - 4)^2 + (-7 - 5)^2\)

d3 = 13

The perimeter is then calculated as:

P = d1 + d2 + d3

This gives

P = 12 + 5 + 13

Evaluate

P = 30

Hence, the perimeter of the triangle is 30 units

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36 liters of the 20% acid solution and 54 liters of the 70% acid solution.

What is algebra?

The area of mathematics where numbers and quantities are represented in formulas and equations by letters and other generic symbols.

Here, we have

 x +  y = 90,       (1)    (volume balance, in liters)

0.20x + 0.7y = 0.5×90    (2)    (pure acid volume balance, in liters)

From (1), express y = 90 - x and

substitute it into equation (2) and we get

0.20x + 0.7*(90 - x) = 45.

Simplify and solve for x:

0.20x + 63 - 0.7x = 45,

-0.5x = -18

x = 36

36 liters of the 20% acid solution and 90- 36= 54 liters of the 70% acid solution.

Hence,36 liters of the 20% acid solution and 54 liters of the 70% acid solution.

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Answer:

y = \(\sqrt{55}\)

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(altitude)² = product of parts of hypotenuse

then

y² = 11 × 5 = 55 ( take square root of both sides )

y = \(\sqrt{55}\)

Answer:

The function  is  \(D = 2sin ( \frac{\pi}{2} - \frac{\pi}{12} t) + 6\)

Step-by-step explanation:

From the question we are told that

    The  maximum depth is \(d = 8 \ ft\)

      The  minimum depth is  \(d_i = 4 \ ft\)

Generally the average depth is mathematically represented as

       \(d_a = \frac{8 + 4}{2}\)

=>   \(d_a = 6 \ ft\)

Generally  the amplitude is mathematically represented as

      \(A = d - d_a\)

=>    \(A = 8 - 6\)

=>    \(A = 2\)

Generally the period is  24 hours given that the the interval between the maximum depth and the minimum depth is half a day

Generally the period is mathematically represented as

         \(T = \frac{2 \pi }{w}\)

here w is the angular  frequency

So

     \(w = \frac{2 \pi}{24}\)

      \(w = \frac{\pi}{12}\)

Generally the depth can be modeled with a sin function as follows

     \(D = Acos (wt) + d_a\)

Now  from co-function identity we have  that \(for \ cos (z) = sin (\frac{\pi}{2} - z)\)

So  

     \(D = Asin ( \frac{\pi}{2} - wt) + d_a\)

     \(D = 2sin ( \frac{\pi}{2} - \frac{\pi}{12} t) + 6\)

The function that models the depth, in feet, of the water at the pier yesterday, as a function of time t in minutes past high tide is; D = 2 sin((π/2) - (π/12)t) + 6

We are given;

Thus;

Average depth; d = (d1 + d2)/2

d = (4 + 8)/2

d = 6 ft

Now, to find the amplitude, we will just subtract the minimum depth from the maximum one to get; A = d2 - d1

A = 8 - 6

A = 2 ft

Now, the period T is a whole day which is 24 hours and so we can find the angular frequency ω from the formula;

ω = 2π/T

Thus;

ω = 2π/24

ω = π/12

Where;

d_i is average depth

Thus;

D = 2 sin((π/2) - (π/12)t) + 6

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Answer:

y intercept when x is 0, so the answer is 3

Answer:

18

Step-by-step explanation:

siz times three is eighteen

Answer:

i believe the answer is 14.93 dollars.

Step-by-step explanation: