2^n+5=120

5^n+1=175

need ASAP

sin(x) is a mathematical function that calculates the sine of angle x, where x is in radians.

In mathematics, angles are measured in radians or degrees. The symbol π represents the mathematical constant pi, which is approximately equal to 3.14159.

When we say π/2, it means half of the circumference of a circle, which corresponds to 90 degrees.

The inequality "π/2 < 0" suggests that π/2 is less than zero, implying that the angle of 90 degrees is negative. However, this is incorrect.

In the standard coordinate system, angles are measured counterclockwise from the positive x-axis.

Thus, π/2 or 90 degrees lies in the positive direction. The correct relationship should be "π/2 > 0" to indicate that the angle is greater than zero.

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Answer:

x>2 and x<10

Step-by-step explanation:

Using Triangle Inequalities, this is the ranges because when x is greater than 2 and less than 10, a triangle is always possible and forms.

To calculate the position, velocity, and acceleration of the particle at a specific time, we need to integrate the velocity function. Let's calculate each of them step by step.

(a) Position:

To find the position, we need to integrate the velocity function with respect to time. The position function is obtained by integrating the velocity function:

x(t) = ∫v(t) dt

Given v(t) = 2t^2 m/s, we can integrate it:

∫2t^2 dt = 2 * (t^3/3) + C

Since the initial position x₀ = 1 m is given at t₀ = 0 s, we can substitute these values into the equation:

x(1) = 2 * (1^3/3) + C

To find the value of C, we use the initial condition x₀ = 1:

1 = 2 * (0^3/3) + C

1 = 0 + C

C = 1

Now we can substitute this value back into the equation to find the position at t = 1 s:

x(1) = 2 * (1^3/3) + 1

x(1) = 2/3 + 1

x(1) = 2/3 + 3/3

x(1) = 5/3 m

Therefore, the particle's position at t = 1 s is 5/3 m.

(b) Velocity:

The velocity of the particle is given by the function v(t) = 2t^2 m/s. To find the velocity at t = 1 s, we simply substitute t = 1 into the velocity function:

v(1) = 2 * (1^2)

v(1) = 2 m/s

Therefore, the particle's velocity at t = 1 s is 2 m/s.

(c) Acceleration:

The acceleration of the particle is the derivative of the velocity function with respect to time. Let's differentiate the velocity function to find the acceleration:

a(t) = d/dt (v(t))

= d/dt (2t^2)

= 4t

To find the acceleration at t = 1 s, we substitute t = 1 into the acceleration function:

a(1) = 4 * 1

a(1) = 4 m/s^2

Therefore, the particle's acceleration at t = 1 s is 4 m/s^2.

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Answer:

Literally nothing.

Step-by-step explanation:

Lol

Answer:

Line A, because it is closest to most data points

Step-by-step explanation:

That is your answer because Line A is the closest to most of the data points, while Line B is more farther away. Also, the line of best fit has nothing to do with the positive or negative association.

Answer:

Line A

Step-by-step explanation:

It is the closest to the data points

The girls' reluctance to sell the chocolate bars at $2.50 per bar may not be purely altruistic but instead driven by their understanding of market demand and the potential impact of pricing on sales volume.

The girls' perception that the selling price of $2.50 per chocolate bar is too high may not necessarily indicate altruism but rather a response to market demand. When faced with a downward sloping demand curve, higher prices can lead to lower sales volume.

The girls' concern may be rooted in their understanding that a higher price could potentially deter potential buyers from purchasing the chocolate bars, resulting in lower overall sales and potentially lower earnings for themselves.

By considering the demand curve, the girls are likely taking into account the price elasticity of demand. Elastic demand implies that a change in price will have a relatively larger impact on the quantity demanded. If the girls perceive the demand for chocolate bars to be elastic, they might believe that a lower price would attract more customers and lead to increased sales volume.

Their concerns could also be motivated by their desire to achieve a balance between maximizing their sales and ensuring a reasonable profit margin. They might be aware that setting the price too high could lead to reduced demand and lower overall revenue, thereby limiting their earnings.

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Answer:

d

Step-by-step explanation:

Answer:

(-4,-9)

Step-by-step explanation:

vertex form: y=a(x-h)^2+k

hk=vertex of x and y

inside parentheses=horizontal (opposite signs)

that’s why it’s -4 instead of 4 for h (x) while -9 stays the same since it’s not inside the parentheses

the solutions to the system of equations are (x, y) = (0, -6) and (7, 8).

To find the solutions to the system of equations:

Equation 1: y = x^2 - 5x - 6

Equation 2: y = 2x - 6

We can set the right-hand sides of the equations equal to each other since they both represent y:

x^2 - 5x - 6 = 2x - 6

Now, let's solve this quadratic equation:

x^2 - 5x - 2x - 6 + 6 = 0

x^2 - 7x = 0

Factoring out an x:

x(x - 7) = 0

Setting each factor equal to zero:

x = 0    or    x - 7 = 0

Solving for x:

x = 0    or    x = 7

Now that we have the x-values, we can substitute them back into either equation to find the corresponding y-values.

For x = 0:

y = (0)^2 - 5(0) - 6

y = 0 - 0 - 6

y = -6

For x = 7:

y = (7)^2 - 5(7) - 6

y = 49 - 35 - 6

y = 8

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Answer:

232 miles

Step-by-step explanation:

Multiply 58 by 4 equals 232

Can i have brainliest pls?

Answer:

The answer is 232

Step-by-step explanation:

Because what you would do is You would multiply 58 times 4 because you want to know how many miles she drove.

Answer:

3m^4  

Step-by-step explanation:

the third one

Answer:

The third option

Step-by-step explanation:

Exponents are the little numbers up and to the right. None of the other options have a little number (exponent) of 4

The probability of all 5 marbles being red is (8/26) x (7/25) x (6/24) x (5/23) x (4/22) = 0.000766.

This can also be written as P(RRRRR) = 8/26 x 7/25 x 6/24 x 5/23 x 4/22. This probability is very small, as the chances of randomly selecting only red marbles from the bag is low.

This calculation is based on the formula for combinations, which states that the probability of selecting r items from a group of n items is nCr x Pr, where nCr is the number of combinations of selecting r items from n items and Pr is the probability of selecting a specific item. In this case, n = 26 and r = 5, so the number of combinations of selecting 5 items from 26 items is 26C5. This is equal to 8x7x6x5x4/5x4x3x2x1, or 8x7x6x5x4/120. The probability of selecting a specific item is 1/26, as there are 26 items in the bag. Therefore, P(RRRRR) = 8/26 x 7/25 x 6/24 x 5/23 x 4/22.

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Step-by-step explanation:

x + y = 12

x × y = -360

we need to transform one equation into an identity of one variable being expressed by the other variable.

e.g. the first equation gives us

x = -y + 12

and then we use that in the second equation :

(-y + 12) × y = -360

-y² + 12y = -360

y² - 12y - 360 = 0

the general solution for such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = y

a = 1

b = -12

c = -360

y = (12 ± sqrt(144 - 4×1×-360))/2 =

= (12 ± sqrt(144 + 1440))/2 = (12 ± sqrt(1584))/2 =

= 6 ± sqrt(1584/4) = 6 ± sqrt(396) = 6 ± sqrt(36×11) =

= 6 ± 6×sqrt(11)

y1 = 6 + 6×sqrt(11) = 25.89974874...

y2 = 6 - 6×sqrt(11) = -13.89974874...

x1 = -y1 + 12 = -13.89974874...

x2 = -y2 + 12 = 25.89974874...

so, we see, they are interchangeable.

the solution is either

x = 25.89974874...

and

y = -13.89974874...

or

x = -13.89974874...

and

y = 25.89974874...

Answer:

60 MPH over the limit

Step-by-step explanation:

5 times 12 - 60

Answer:

y=4x+3

Step-by-step explanation:

find the slope using y2-y1/x2-x1

11-3/2-0

simplify

8/2

simplify

4

find b by using the equation y=mx+b

since we know 4 is the slope, plug it in for m

plug an ordered pair into y=4x+b

3=4(0)+b

3=b

plug b in y=4x+b

y=4x+3

The radius of the circle is 18 cm.

Explanation: -

suppose radius of the circle is r, where an angle of 2 radians cuts off an arc of 36 cm, to find the radius of the circle use the formula :

Arc length = radius × angle (in radians)

In this case, the arc length is 36 cm, and the angle is 2 radians. Rearrange the formula to find the radius:

radius = arc length / angle

substitute the value of the arc length and angle ( in radian) in the above mention formula:

radius = 36 cm / 2 radians

radius = 18 cm

Thus, radius of the circle is 18 cm.

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Answer:

49

Step-by-step explanation:

(2^2 + 3)^2

(4 + 3)^2

(7)^2

49

Yk cause of bidams you gotta do 2 to the power of 2 first, and then get 4 + 3. Then you add them, you get 7. Cube it and get 49. Ez ;>

*winks and runs off*

Answer:

A={21,24,27,30}

B={21,27}

C={24,30}

Step-by-step explanation:

a)A U B={21,24,27,30}

b)A n C ={24,30}

9514 1404 393

Answer:

  A ∪ B = {21, 23, 24, 25, 27, 29, 30, 31}

  A ∩ C = {24, 30}

Step-by-step explanation:

  A = {21, 24, 27, 30} . . . . . . . . . . . . . multiples of 3

  B = {21, 23, 25, 27, 29, 31} . . . . . . . odd numbers

  C = {20, 22, 24, 26, 28, 30, 32} . . . even numbers

The union is the list of numbers in either set.

  A ∪ B = {21, 23, 24, 25, 27, 29, 30, 31}

The intersection is the list of numbers in both sets.

  A ∩ C = {24, 30}

Answer:

sin 30 - cos60+tan45

1/2-1/2+1

1 ans

The measures of the three angles in a triangle is 84°, 30° and 66° respectively.

α + β + γ = 180° . From this, you can calculate the angles: ax, bx, and cx, as well as the unknown x. We translate these ideas into a detailed procedure for using ratios to locate missing angles in triangles in the following section.

The ratios are:

∠A = 14, ∠B = 5, ∠C = 11

Total ratio = 14 + 5 + 11= 30

The total angle in a triangle = 180°

So,

∠A= 14 / 30 × 180°= 0.46× 180°= 84°

∠B= 5/30 × 180°= 0.16 × 180°=30°

∠C= 11/30 × 180°= 0.366× 180°= 66°

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The results of dividing 1 into pieces that are each 1/9 of a whole is 9

1 ÷ 1/9

1 ÷ 1/9

= 1 × 9/1

= (1 × 9) / (1 × 1)

= 9/1

= 9

Complete question:

If 1 is divided into pieces that are each 1/9 of a whole, how many pieces are there

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Answer:

HG

Step-by-step explanation:

Where they meet another line at a 90 degree angle.

The segment that is perpendicular to segment AH in the given cube is: HG.

When two segments form a right angle at the point of their interception, they are said to be perpendicular to each other.

In the image given, a right angle is formed where segments AH and HG meet. Therefore, a name of a segment that is perpendicular to AH is: segment HG.

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The value for $\frac{0.\overline{72}}{0.\overline{27}}$ as a common fraction in lowest terms is 2.666

To convert repeating decimals to fractions, we can use the following method:

Let's call the repeating decimal 0.72... = x, and the repeating decimal 0.27... = y.

Then 10x = 7.2... and 10y = 2.7...

Subtracting the original expressions from the above:

10x - x = 7.2... - 0.72...

=> 9x = 7

=> x = 7/9

And similarly,

10y - y = 2.7... - 0.27...

=> 9y = 2

=> y = 2/9

Therefore,

0.72... / 0.27... = x / y = (7/9) / (2/9) = 7/2 = 3.5

A repeating decimal is a decimal that has a repeating pattern of digits after the decimal point. To convert a repeating decimal to a fraction, we need to identify the repeating pattern and convert it to a fraction. This is done by multiplying both the numerator and denominator by a power of 10 that makes the repeating part an integer.

Then, the resulting fraction can be simplified to its lowest terms. In this case, the repeating decimals 0.72... and 0.27... can be converted to the fractions 7/9 and 2/9 respectively, and dividing the two results in a fraction of 7/2 can be simplified to 3.5.

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Answer:

28

Step-by-step explanation:

▪︎ ADE and ABC are similar triangles (AAA)

▪︎ DA = DB + BA = 30 + 12 = 42

▪︎ k = DA / BA = 42 / 12 = 3.5

▪︎ DE = BC * k = 8 * 3.5 = 28

Option(A), The critical value for a 99% confidence interval with a two-tailed test and n-2 degrees of freedom is 2.821. This value is determined from the t-distribution table or can be found using statistical software.

When constructing a confidence interval for the population slope B in a regression model, a critical value is required to determine the range of values within which the true slope is likely to lie. The critical value is determined by the desired level of confidence and the degrees of freedom in the data. In this case, we are constructing a 99% confidence interval, which means that we want to be 99% confident that the true population slope falls within the interval.
The critical value for a 99% confidence interval with a two-tailed test and n-2 degrees of freedom is 2.821. This value is determined from the t-distribution table or can be found using statistical software. The critical value represents the number of standard errors away from the sample estimate of the slope that corresponds to the upper and lower bounds of the confidence interval.
Therefore, to construct a 99% confidence interval for the population slope B, we calculate the sample estimate of the slope, determine the standard error of the estimate, and then multiply the critical value by the standard error to obtain the margin of error. We then add and subtract the margin of error from the sample estimate to obtain the upper and lower bounds of the confidence interval.

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Answer: 1.8 L/h

Step-by-step explanation:

To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.

Step 1:

First, let's convert the rate from millilitres per second to litres per second.

There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:

\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)

Step 2:

We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:

\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)

Therefore, the rate of water dripping from the tap is 1.8 L/h.

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Using the properties of parallelograms and the given information, we proved that BAEC is equal to FABC. We utilized angle-angle similarity and the proportional relationships of corresponding sides in similar triangles to establish the equality.

To prove that BAEC = FABC, we will use the properties of parallelograms and the given information.

Given:

ABCD is a parallelogram.

BE is parallel to CD.

BF is parallel to AD.

To prove:

BAEC = FABC

Proof:

Since ABCD is a parallelogram, we know that opposite sides are parallel and equal in length. Let's denote the length of AB as a, BC as b, AD as c, and CD as d.

Since BE is parallel to CD and AD is parallel to BF, we have angle ABE = angle CDF and angle ADB = angle BFD.

By alternate interior angles, angle CDF = angle FAB.

Now, we have two pairs of congruent angles: angle ABE = angle CDF and angle ADB = angle BFD.

Using angle-angle similarity, we can conclude that triangle ABE is similar to triangle CDF and triangle ADB is similar to triangle BFD.

As the corresponding sides of similar triangles are proportional, we have the following ratios:

AB/CD = AE/CF (from triangle ABE and triangle CDF similarity)

AD/BC = BD/CF (from triangle ADB and triangle BFD similarity)

Cross-multiplying the ratios, we get:

AB * CF = CD * AE (equation 1)

AD * CF = BC * BD (equation 2)

Adding equation 1 and equation 2, we have:

AB * CF + AD * CF = CD * AE + BC * BD

Factoring out CF, we get:

CF * (AB + AD) = CD * AE + BC * BD

Since AB + AD = CD (opposite sides of a parallelogram are equal), we have:

CF * CD = CD * AE + BC * BD

Simplifying, we get:

CF = AE + BC

Therefore, we have shown that BAEC = FABC.

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To reverse the order of integration, we need to rewrite the limits of integration in terms of the other variable.
The value of the given integral by reversing the order of integration is (5/12)(\(e^{24}\) - 1).

The given integral is ∫∫ \(5e^{(2x)}\) dx dy, where the limits of x are from 0 to 4 and the limits of y are from 0 to 3y.
To integrate with respect to y first, we need to express the limits of y in terms of x.
From the limits of y given, we have 0 ≤ y ≤ 3y, which simplifies to 0 ≤ y.
Now we need to find the upper limit of y. To do this, we set the expression for the upper limit equal to the constant 12, which is the upper limit of x.
So we have 3y = 12, which gives y = 4.
Thus, the limits of integration become ∫∫ \(5e^{(2x)}\) dy dx, where the limits of y are from 0 to 4 and the limits of x are from 0 to 3y.
Now we can integrate with respect to y:

∫∫ \(5e^{(2x)}\) dy dx = ∫ 0^4 ∫ 0^(3y) \(\int\limits^4_0 \int\limits^{(3y)}_0 5e^{(2x)} dx dy\)
= \(\int\limits^4_0  [5/2 e^{(2x)}]_0^{(3y)} dy\)
= \(\int\limits^4_0  [5/2 (e^{(6y)} - 1)] dy\)
= \([5/12 (e^{(6y)} - 1)]_0^4\)
= \((5/12)(e^{24} - 1)\)
Note that the order of integration can be reversed if the integrand is continuous on a rectangular region that contains the original region of integration.

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