Él área de un rectángulo en lenguaje algebraico

Answer:

T = 80

U = 20

W = 20

X = 80

Step-by-step explanation:

If two sides of a triangle is equal then it is isosceles and it's base angles are equal as well

Answer:

note 1: total interior angles of a triangle is 180°

note 2: two arrows on opposite sides represents, they have same angle

solve 1:

m∠QPR = 180° - 20° - 80° = 80°

solve 2:

as m∠UST = m∠UTS = 80° because as its an isosceles triangle

m∠SUT = 180° - 80° - 80° = 20°

solve 3:

as m∠XVW = m∠XWV = 20° because as its an isosceles triangle

m∠VXW = 180° - 20° - 20° = 140°

The task is to derive and solve the system of equations for the nodes and weights of the Le quadrature rule on the interval (-1, 1) using four nodes, with t1 = -1 and ta = 1 given, and t2 and t3 chosen optimally to minimize.

To determine the nodes and weights for thecon the interval (-1, 1) with four nodes, we need to solve a system of equations.

Given t1 = -1 and ta = 1, and with t2 and t3 chosen optimally, we aim to minimize the error by obtaining an equation involving 1 + t that does not contain the weights w or w2.

The system of equations will involve the weights and the nodes, and solving it will provide the specific values for t2, t3, w1, w2, w3, and w4.

The optimality condition ensures that the chosen nodes and weights provide accurate approximations for integrating functions over the interval (-1, 1).

By solving the system of equations, we can obtain the exact values of the nodes and weights, achieving the desired equation involving 1 + t.

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Answer:

68!

Step-by-step explanation:

,to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1

Answer:

the height is 3 inches

Step-by-step explanation:

B/L x w x h = V

2 x 4 x h = 24

8 x h = 24

8 x 3 = 24

therefore 3 in the height in the unit of inches

The seat in the middle of the one-way route is 34

The seats are given as:

\(First= 0\) --- the first seat behind the seat number 95

\(Last= 66\) --- my seat

The seat number half-way would be:

\(Half = \frac{Last - First}{2} + 1\)

This gives

\(Half = \frac{66- 0}{2} + 1\)

Subtract 0 from 66

\(Half = \frac{66}{2} + 1\)

Divide 66 by 2

\(Half = 33 + 1\)

Add 33 and 1

\(Half = 34\)

Hence, the seat in the middle of the one-way route is 34

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Answer:

no solutions

Step-by-step explanation:

−3(x + 3) = −3(x + 1) − 5

Distribute

-3x -9 = -3x -3 -5

Combine like terms

-3x -9 = -3x-8

Add 3x to each side

-9 = -8

Since this is never true, there are not solutions

In the scenario where a custom object is the detail object in a master-detail relationship with Account, the Organization-Wide Default (OWD) setting for the custom object would be controlled by the OWD setting of the master object, which is Account.

In Salesforce, the Organization-Wide Default (OWD) setting determines the default level of access for records of an object within an organization. When a custom object is set as the detail object in a master-detail relationship with Account, the OWD setting for the custom object will be controlled by the OWD setting of the master object, which is Account in this case.

The OWD setting for Account will dictate the level of access for the related records of the custom object. For example, if the OWD setting for Account is set to "Private," the related records of the custom object will also inherit the "Private" access level. This means that only users with appropriate sharing interest, such as those assigned to Account roles or sharing rules, will have access to the related records of the custom object.

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What is TRUE about the Organization-Wide Default (OWD) setting for the custom object in a master-detail relationship with Account?

tan 36° can be written as cot 54°, which simplifies to (√3 + 1) / (√3 - 1).

The tangent of 36° can be expressed in terms of its cofunction, which is the cotangent. The cotangent of an angle is equal to the reciprocal of the tangent of that angle. Therefore, we can rewrite tan 36° as cot (90° - 36°).

Now, cot (90° - 36°) can be simplified further. The angle 90° - 36° is equal to 54°. So, we have cot 54°.

The cotangent of 54° can be determined using the unit circle or trigonometric identities. In this case, the exact answer for cot 54° is (√3 + 1) / (√3 - 1).

Hence, tan 36° can be written as cot 54°, which simplifies to (√3 + 1) / (√3 - 1).

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Answer:

1/4 population

Step-by-step explanation:

Answer: 25%

Step-by-step explanation: 200/800=0.25

                                             Move the decimal places of 0.25 two spaces to the right so is 25.

Answer:

5/2

Step-by-step explanation:

\(x^1=x\text{ and }x^{-1}=\frac{1}{x} \text{ and }x^0 = 1\)

These make the expression \(x^1-x^{-1}+x^0=x-\frac{1}{x}+1\) .

Plug in x = 2 to get  \(2-\frac{1}{2}+1=\frac{5}{2}\)

Answer:

given equation = x¹-x⁻¹+x⁰

lets subtitute the value of x in this equation = 2-1/2+1

= 3-1/2 =5/2 =2.5 (ans)

Hope it helps

Answer:

It is D or B. If i am not mistaken

Problem 1

Part (a)

It is possible to find the equation of the line of best fit by hand, but it's much more efficient to use technology. That could mean a graphing calculator, an online tool, or some computer software installed. I'm going to use GeoGebra. Specifically, I'm using the "FitLine" command to find the regression line.

The equation of line of best fit is y = -2.45x + 11.83

There's not much to say in terms of steps, since it's basically a calculator problem. Doing this by hand would take a lot longer than it should be.

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

Part (b)

Plug in x = 2.3 and evaluate

y = -2.45x + 11.83

y = -2.45*2.3 + 11.83

y = 6.195

Answer: 6.195

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

Part (c)

We'll compare the result from the previous part (6.195) to the y value in the table (6.2)

The difference is 6.2 - 6.195 = 0.005

This means the estimated value is off by 0.005 and this is an underestimate (since 6.195 is smaller than 6.2)

===================================================

Problem 2

To be perfectly honest, I'm not sure what's going on here. It seems like there's missing context to the problem. Perhaps a data table that got cut off or this is referring to a previous problem.

===================================================

Problem 3

Recall that y = mx+b is the slope intercept form

m = slope

b = y intercept

We simply read off the values of the given equation y = 0.404x - 5.18 to see that 0.404 is the slope and -5.18 is the y intercept

The slope tells us that each time x goes up by 1, y will increase by an estimated amount of 0.404; this represents the unit rate or speed. In this context, it means the height goes up by about 0.404 cm per day. This is an estimated value because the regression line itself is a collection of estimated points.

The y intercept is where the graph crosses the y axis. It always occurs when x = 0. The x refers to the day number. Day 0 is basically the starting day. So the y intercept being -5.18 means the estimated height is -5.18 cm on the starting day. At first glance, it might not seem possible to have a negative height. But simply think of negative heights as below ground level, much like how the negative y values are below the x axis.

In other words, the plant is estimated to start off at about 5.18 cm below ground level. This is a reasonable assumption because the seed is buried into the ground (assuming at this level more or less) and it then grows upward.

Answer:

The radius of the base of the cylinder is half of its diameter, so the radius is:

r = 18 cm / 2 = 9 cm

The height of the cylinder is 2.5 times the radius:

h = 2.5r = 2.5(9 cm) = 22.5 cm

The volume of a cylinder is given by the formula:

V = πr^2h

Substituting the values we have found, we get:

V = π(9 cm)^2(22.5 cm)

V = π(81 cm^2)(22.5 cm)

V = 1822.5π cm^3

So the volume of the cylinder is approximately 5713.77 cubic centimeters, or 5713.77 cm^3.

Step-by-step explanation:

Answer:

Arc length is equal to \(\theta r\) where \(\theta\) is the angle in radians and \(r\) is the radius.

Question 1:

\(\frac{\pi}{2}=\frac{\pi}{6}\times3\)

So the angle is CFD.

Question 2:

\(\pi=\frac{\pi}{3}\times3\)

So the angle is AFE.

Question 3:

\(2\pi=\frac{2\pi}{3}\times3\)

So the angle is AFB.

Question 4:

\(\frac{3\pi}{4}=\frac{\pi}{4}\times3\)

So the angle is BFC.

Stephen Curry is 75 inches tall.

Let's call Stephen Curry's height h.

Since the shadow length of Shaq is proportional to his height,

we can write the following ratio:

shadow length of Shaq / Shaq's height = shadow length of Curry / Curry's height

This gives

17'' / 85'' = 15'' / h

Solving for h:

h = 15'' * 85'' / 17'' = 75''

So Stephen Curry is approximately 75 inches tall.

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Answer: +1k

Step-by-step explanation: In order for you to be able to add two terms together, the terms need to be exactly the same except for the coefficients.

Here, since both terms contain a k, we can add them together.

So -6k + 7k simplifies to +1k.

Note that if you had said k,

that's also an acceptable answer.

Answer:

b, c, d, f

Step-by-step explanation:

Which ordered pairs are solutions to the inequality?

 2x+3y≥−1?

a≥b means that A must be equal to or greater than B.

Let's do this the long, but easy way, by plugging it in!

(x,y)

a. (0,-1) -> -3≥-1 -> false

b. (5,-1)-> 7≥-1 -> true

c. (-2,1) -> -1≥-1 -> true

d. (0,1) -> 3≥-1 -> true

e. (-6,0) -> -12≥-1 - > false

f. (2,-1) -> 1≥-1 -> true

Let me know if it is incorrect!

- a friendly 8th grader :)

Answer:

$6909.50

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.2%/100 = 0.042 per year,

then, solving our equation

I = 6500 × 0.042 × 1.5 = 409.5

I = $ 409.50

The simple interest accumulated

on a principal of $ 6,500.00

at a rate of 4.2% per year

for 1.5 years is $ 409.50.

The average change in the otter's position each minute is -24.5 ft per minute and the otter goes deeper.

We have,

The ratio of "change in the function values" to "change in the interval endpoints" is referred to as the average rate of change of a function f(x) over an interval [a, b].

Here, we have

Sea level changes by -73.5 ft in 3 minutes

So, we apply the average change formula, and we get

= -73.5/3

= - 24.5 ft per minute

And the otter goes deeper because - 24.5 < 0

Hence, the average change in the otter's position each minute is -24.5 ft per minute and the otter goes deeper.

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complete question;

A sea otter is underwater. Its position below sea level changes by -73.5 ft in 3 minutes. What is the

average change in the otter's position each minute? Is the otter going deeper or toward the surface of

the water? Explain your reasoning. Show your work!!! (4 pts)

Change in Otter's position per minute:

The otter is swimming..

The multiplier for the given economy is 4.

The multiplier represents the magnification effect of an initial change in autonomous spending on the overall output of an economy. It is calculated using the formula 1 / (1 - MPC), where MPC is the marginal propensity to consume.

In this case, the MPC is given as 0.75, which means that for every additional dollar of income, individuals spend 75 cents. The multiplier is calculated as 1 / (1 - 0.75) = 4.

The multiplier of 4 indicates that a change in autonomous spending, such as investment or consumption, will have a four times larger impact on the overall output of the economy. In other words, for every dollar increase in autonomous spending, the total output of the economy will increase by four dollars.

In this scenario, since the intended investment is $130, the total increase in output would be 4 * $130 = $520. Therefore, the multiplier effect amplifies the initial change in autonomous spending and leads to a larger increase in output in the economy.

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Answer:

1.22 grams of sugar

Step-by-step explanation:

8.54 divided by 7 is 1.22

Given the following trinomial:

Since the given trinomial is quadratic, there are two factors in this equation.

Step 1: Determine the factors of the first term, 2x².

There are no other possible factors of 2x² but 2x and x.

Therefore, we can now generate the initial factors.

Let A and B represent the unknown constants of the factors to be able to get the product of 2x² + 7x + 4.

Step 2: Let's determine A and B.

Let's think of possible constants of A and B that have a product of 4 and a sum of 7x when adding A multiplied by x and B multiplied by 2x.

Let's list down possible pairs.

TABLE

Sum of 4 (A and B) Sum of 7x

1 and 4 1(x) + 4(2x) = x + 8x = 9x

2 and 2 (2)(x) + 2(2x) = 2x + 4x = 6x

4 and 1 4(x) + 1(2x) = 4x + 2x = 6x

-1 and -4 -1(x) - 4(2x) = -x - 8x = -9x

-4 and -1 -4(x) - 1(2x) = -4x - 2x = -6x

None of the possible factors are possible to complete the equation, therefore, we can say that the given trinomial is not a perfect square and is not factorable.

If we are tasked to factor the trinomial by completing the square, we get:

The constant must be 3 and not 4 for it to be factorable and will

give you (2x + 1)(x + 3) = -1.

Answer:

Silence

If you speak the word silence, it breaks the silence in the room.

The pairwise comparisons that need to be made for this anova result will be b.3

In order to determine the number of pairwise comparisons needed for a one-way between-subjects ANOVA with three groups, we can use the formula:

N = (k * (k-1)) / 2

Where N represents the number of pairwise comparisons and k represents the number of groups. In this case, k = 3.

Plugging in the values:

N = (3 * (3-1)) / 2

N = (3 * 2) / 2

N = 6 / 2

N = 3

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The quotient rule for logarithms states that the log of the logarithm of a quotient is the difference of the logarithms.

It should be noted that logarithm, is the exponent or power to which a base must be raised to get a given number.

We can apply the quotient rule to find the differentiation of a function.

In this case, the quotient rule for logarithms states that the log of the logarithm of a quotient is the difference of the logarithms.

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Answer:

a = 70°

b = 80°

Step-by-step explanation:

Angles on a straight line add up to 180°

⇒ a + 110 = 180

⇒ a = 180 - 110

⇒ a = 70°

The sum of the interior angles of a quadrilateral is 360°

⇒ a + b + 130 + 80 = 360

⇒ 70 + b + 130 + 80 = 360

⇒ b + 280 = 360

⇒ b = 360 - 280

⇒ b = 80°

Answer:

yes

Step-by-step explanation:

Using the Pythagorean Theorem, considering that the sum of the squares of the lengths of the two smaller sides is equals to the square of the length of the greater side, the triangle is a right triangle.

Pythagorean Theorem:

The Pythagorean Theorem states that for a right triangle, the sum of the squares of the lengths of the two smaller sides is equals to the square of the length of the greater side.

so it is a right triangle.

Answer:

\({ \tt{ {(5 {z}^{2} + 3z + 2)}^{2} }} \\ = (5 {z}^{2} + 3z + 2)(5 {z}^{2} + 3z + 2) \\ = (25 {z}^{4} + 30 {z}^{3} + 29 {z}^{2} + 12z + 4)\)