what is the answer to
1/2q= -24 ​

The equation of the tangent line at x=0 is y = x.

To find the equation of the tangent line at the given value of x, we need to find the derivative of the function y with respect to x and evaluate it at x=0.

Taking the derivative of y=∫[0 to x] sin(2t^2+π/2) dt using the Fundamental Theorem of Calculus, we get:

dy/dx = sin(2x^2+π/2)

Now we can evaluate this derivative at x=0:

dy/dx |x=0 = sin(2(0)^2+π/2)

        = sin(π/2)

        = 1

So, the slope of the tangent line at x=0 is 1.

To find the equation of the tangent line, we also need a point on the line. In this case, the point is (0, y(x=0)).

Substituting x=0 into the original function y=∫[0 to x] sin(2t^2+π/2) dt, we get:

y(x=0) = ∫[0 to 0] sin(2t^2+π/2) dt

      = 0

Therefore, the point on the tangent line is (0, 0).

Using the point-slope form of a linear equation, we can write the equation of the tangent line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

Plugging in the values, we have:

y - 0 = 1(x - 0)

Simplifying, we get:

y = x

So, the equation of the tangent line at x=0 is y = x.

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Answer:

Step-by-step explanation:

Vertical angles are equal.  Thus, 3x + 14 = 5x, and 14 = 2x.

Then x must be 7.

The first angle, 3x + 14, is 3(7) + 14, or 35.

The second, 5x, is 5(7) = 35

As expected, the two angles are equal.

Answer:

Both angles are 35°

Step-by-step explanation:

Vertical angles are when they equal each other so:

3x + 14 = 5x

5x - 3x = 14

2x = 14

x = 7

5x

5(7) = 35

3x + 14

3(7) + 14

21 + 14 = 35

Answer:

y= -5x - 3

Step-by-step explanation:

To find the correct equations for the missing boxes, we need more information about the relationships between the different activities in Jake's Gems. However, based on the given context, we can make some assumptions and suggest potential equations:

Mining and Cutting activities produce diamonds, rubies, and other gems. Let's assume that the production of each gem type is represented by a variable: D (diamonds), R (rubies), and G (other gems).

Maintenance supports the Mining and Cutting activities. We can assume that the maintenance effort required for each activity is represented by the variable M (maintenance).Since the question mentions five missing boxes, we can suggest additional equations to represent relationships between these variables, such as:

Mining + Cutting = D + R + G (the sum of all gem types produced equals the total production from Mining and Cutting activities).

Maintenance = M (maintenance effort required).

The relationships between these variables might include equations like D = f(M), R = g(M), G = h(M), where f, g, and h represent some functions or formulas that relate gem production to maintenance effort.

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Answer:

x=5 2/11

Step-by-step explanation:

its either 5 2/11 or 57/11

Answer: it’s A..

Step-by-step explanation:

No, because it fails the vertical line test.

The plane's true bearing is $27.9°N of W, and its estimated ground speed is 473.3 mph.

Math is made more fascinating and enjoyable using Speed Maths (Vedic Maths). by assisting the child in quickly performing some improbable computations. By combining the correct amount of enjoyment, memory, skills, memory recall, and formula application, your child will become a superstar performer.

Let's start with the airplane's speed.

A bearing of N25°W corresponds to a anticlockwise angle of 65° when measured from the westward direction (W).

As a result, the airplane's velocity vector can be divided into its north-south and east-west components as shown below:

V_A,north = 480 cos(65°) ≈ 200.5 mph (northward)

V_A,west = 480 sin(65°) ≈ 447.3 mph (westward)

V_W,north = 45 sin(75°) ≈ 43.5 mph (northward)

V_W,west = 45 cos(75°) ≈ 11.3 mph (westward)

To find the net velocity of the airplane, we can add the north-south and east-west components of the airplane velocity and wind velocity separately:

V_net,north = V_A,north + V_W,north ≈ 200.5 + 43.5 ≈ 244.0 mph (northward)

V_net,west = V_A,west + V_W,west ≈ 447.3 + 11.3 ≈ 458.6 mph (westward)

Now we can use the Pythagorean theorem to find the magnitude of the net velocity:

|V_net| = sqrt(V_net,north² + V_net,west²) ≈ 473.3 mph

To find the actual bearing of the airplane, we can use the inverse tangent function:

tan⁻¹(V_net,north / V_net,west) ≈ 27.9°

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Answer:

41

Step-by-step explanation:

29+20=49

and sense a right triangle is 90 degrees

90-49=41

The expressions that are True are 8 < 10, 10 != 8,  8 <= 10 and 10 >= 8 Thus correct options are b, c, d and e

Let's go through each expression and determine if it evaluates to True or False:

a. 10=8: This expression checks if 10 is equal to 8. Since 10 is not equal to 8, this expression evaluates to False.

b. 8 < 10: This expression checks if 8 is less than 10. Since 8 is indeed less than 10, this expression evaluates to True.

c. 10 != 8: This expression checks if 10 is not equal to 8. Since 10 is not equal to 8, this expression evaluates to True.

d. 8 <= 10: This expression checks if 8 is less than or equal to 10. Since 8 is less than 10, this expression evaluates to True.

e. 10 >= 8: This expression checks if 10 is greater than or equal to 8. Since 10 is indeed greater than 8, this expression evaluates to True.

In summary, the expressions that evaluate to True are:

b. 8 < 10

c. 10 != 8

d. 8 <= 10

e. 10 >= 8

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Hence, Y  =   -2x,  For  x  <   -5,   The Function  Y  =  | x  -  5 |  +  | x  +  5 |

Therefore,  For:   x  <  -5,  The Function:  Y  =  | x  -  5 |   +   | x  +  5 |

Simplifies to:   Y   =   -2x

To solve the problem, We need to consider the definition of the ABSOLUTE VALUE FUNCTION and the given condition:   x   <  -5

We will break the absolute value expressions into their respective cases and simplify the equation.

        Since:   x   <   -5,   We now have:

        x   -  5  <  0   and   x   +  5  <  0

        | x  -  5 |   =   -(x  -  5)   and  | x  +  5 |  =   -(x  +  5)

        Y  =   -(x  -  5)  +  ( -(x  +  5))

       Y   =   -x  +  5  -  x  -  5

        Y  =   -2x

        For  x  <   -5,   The Function  Y  =  | x  -  5 |  +  | x  +  5 |

        Simplifies to:    Y  =  -2x

Hence, Y  =   -2x,  For  x  <   -5,   The Function  Y  =  | x  -  5 |  +  | x  +  5 |

I hope this helps you!

750 bikes would be sold for $350

Let x represent the number of bikes sold per month and y represent the price.

550 bikes are sold at a price of $250, this can be represented by (550, 250). Also, 750 bikes is sold at a price of $150, hence it is represented by (750, 150)

A linear function is represented by:

y = mx + b

m is the slope, b is the y intercept.

Therefore the function is:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-250=\frac{150-250}{750-550} (x-550)\\\\y=\frac{1}{2}x-25\)

The number of bikes sold for $350 is:

350 = (1/2)x - 25

x = 750

Therefore 750 bikes would be sold for $350

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Answer:

For example, 5 can be written as 5/1.

Step-by-step explanation:

The natural numbers, whole numbers, and integers are all subsets of rational numbers. In other words, an irrational number is a number that can not be written as one integer over another. It is a non-repeating, non-terminating decimal. hope  this helps you :)

Answer:

45 green marbles

Step-by-step explanation:

Green : Blue : Red = 3 : 7 : 5

Fraction of green marbles = \(\frac{3}{3+7+5}=\frac{3}{15}\)

Total marbles = 225

Number of green marbles = \(\frac{3}{15}*225\)

                                           = 3 * 15

                                           = 45

Answer:

Hope the picture helps

Step-by-step explanation:

The indefinite integral of sin^4(5θ) dθ is (1/4)[θ - sin(10θ)/5 + (θ/2) + (1/40)sin(20θ)] + C.

An indefinite integral is the reverse operation of differentiation. Given a function f(x), its indefinite integral is another function F(x) such that the derivative of F(x) with respect to x is equal to f(x), that is:

F'(x) = f(x)

The symbol used to denote the indefinite integral of a function f(x) is ∫ f(x) dx. The integral sign ∫ represents the process of integration, and dx indicates the variable of integration. The resulting function F(x) is also called the antiderivative or primitive of f(x), and it is only unique up to a constant of integration. Therefore, we write:

∫ f(x) dx = F(x) + C

where C is an arbitrary constant of integration. Note that the indefinite integral does not have upper and lower limits of integration, unlike the definite integral.

We can use the identity \(sin^2(x)\) = (1/2)(1 - cos(2x)) to simplify the integrand:

\(sin^4\)(5θ) = (\(sin^2\)(5θ)\()^2\)

= [(1/2)(1 - cos(10θ))\(]^2\) (using \(sin^2\)(x) = (1/2)(1 - cos(2x)))

= (1/4)(1 - 2cos(10θ) +\(cos^2\)(10θ))

Expanding the square and integrating each term separately, we get:

∫ \(sin^4\)(5θ) dθ = (1/4)∫ (1 - 2cos(10θ) + \(cos^2\)(10θ)) dθ

= (1/4)[θ - sin(10θ)/5 + (1/2)∫ (1 + cos(20θ)) dθ] + C

= (1/4)[θ - sin(10θ)/5 + (θ/2) + (1/40)sin(20θ)] + C

Therefore, the indefinite integral of sin^4(5θ) dθ is (1/4)[θ - sin(10θ)/5 + (θ/2) + (1/40)sin(20θ)] + C.

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Answer:

  3.56 kg

Step-by-step explanation:

You want the mass of a model that is 45 cm tall and has a density of 1200 kg/m³ when the statue it is modeling is 270 cm tall, has a density of 2500 kg/m³, and a mass of 1600 kg.

The ratio of volumes of the model to the statue is the cube of the ratio of their heights:

  Vm/Vs = (Hm/Hs)³

  Vm = Vs(Hm/Hs)³ = (1600 kg)/(2500 kg/m³)·((45 cm)/(270 cm))³

  Vm ≈ 0.002963 m³

The mass of the model is the product of its volume and its density:

  Mm = Vm·ρ = (0.002963 m³)(1200 kg/m³) ≈ 3.56 kg

The mass of Justin's model is about 3.56 kg.

__

Additional comment

The relationship between density, volume, and mass is ...

  ρ = mass/volume

This can be rearranged to ...

  volume = mass/ρ

Which is the expression we used for Vs in the first section above.

(We used V and H for volume and height with 'm' and 's' signifying the model and the statue, respectively.)

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The mass of Justin's model is approximately 3.57 kg., rounded to 3 significant figures.

To find the mass of Justin's model, we can use the concept of mathematical similarity.

Mathematical similarity means that corresponding dimensions of two objects are proportional. In this case, Since the densities are also given, we can use the volume ratio to find the mass ratio.

Let's calculate the volume ratio first:

Volume ratio = (Height of model / Height of statue)^3

            = (45 cm / 270 cm)^3

            = (0.1667)^3

            = 0.00463

Now, using the density ratio:

Density ratio = Density of model / Density of statue

            = 1200 kg/m³ / 2500 kg/m³

            = 0.48

Finally, we can find the mass of Justin's model by multiplying the mass of the statue by the volume ratio and density ratio:

Mass of Justin's model = Mass of statue * Volume ratio * Density ratio

                     = 1600 kg * 0.00463 * 0.48

                     = 3.5712 kg

Rounding to 3 significant figures, the mass of Justin's model is approximately 3.57 kg.

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Answer:

measure angle D = 62

Step-by-step explanation:

as the sum  of measures of triangle =180

then (8x-40)+(4x-10)+(3x+20)=180

15x-30=180

x=(180+30)/15=14

XYZ SIMILAR TO PDQ

Y=D=3*14+20=62

Answer:



Step-by-step explanation:

To check whether the given function is linear or not just simply check the degree of variables ie. of x and y.

here, in option A, C, E both x and y have degree as 1 so they are linear functions.

Whereas in option B, D, F either degree is 2 or 3 hence not a linear function.

14. B, D, F

---These functions all have x's with exponents. A linear function's x will only have an exponent of 1 (x^1). These 3 functions have exponents of 2 or 3.

Scatter Plot:

The scatter plot shows a strong/negative association between the age of a motorcycle and the sale price of the motorcycle because as the age of a motorcycle increases, the sale price of the motorcycle decreases.

Hope this helps!

Answer:

8 + 12 =20

Step-by-step explanation:

i think 20 the answer

Answer:

You only have yo flip it

Step-by-step explanation:

I did it before

Answer:

Number of television company produce = 2,000

Step-by-step explanation:

Given:

Cost function = $150x + $250,000

Cost = $550,000

Find:

Number of television company produce

Computation:

$150x + $250,000 = $550,000

$150x = $300,000

x = 2,000

Number of television company produce = 2,000

The average rate of change between x and y in the given data is -1.

We have,

To find the average rate of change between two variables, we need to calculate the difference in the values of the variables and divide it by the difference in their corresponding inputs.

In this case, we have the following data points:

x: -2, -1, 0, 1

y: 7, 6, 5, 4

To find the average rate of change, we'll consider the first and last data points.

Change in y: 4 - 7 = -3

Change in x: 1 - (-2) = 3

Average rate of change = Change in y / Change in x = -3 / 3 = -1

Therefore,

The average rate of change between x and y in the given data is -1.

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To find the probability that a participant selected at random found the products favorable, we can calculate the weighted average of the favorable responses from both the industry-sponsored and non-industry-funded studies.

For the industry-sponsored studies, 65% of participants found the products favorable, and for the non-industry-funded studies, 47% found the products favorable. Since there were 65 industry-sponsored studies and 35 non-industry-funded studies, the overall probability is:

(65/100) * 0.65 + (35/100) * 0.47 = 0.4225 + 0.1645 = 0.587 or 58.7%

If a randomly selected participant found the product favorable, we can use Bayes' theorem to calculate the probability that the study was sponsored by the food industry given this favorable response. The calculation is:

P(Industry-sponsored | Favorable) = (P(Favorable | Industry-sponsored) * P(Industry-sponsored)) / P(Favorable)

P(Favorable | Industry-sponsored) = 0.65

P(Industry-sponsored) = 65/100

P(Favorable) = 0.587

P(Industry-sponsored | Favorable) = (0.65 * (65/100)) / 0.587 ≈ 0.719 or 71.9%

Similarly, if a randomly selected participant found the product unfavorable, we can use Bayes' theorem to calculate the probability that the study had no industry funding given this unfavorable response. The calculation is:

P(No industry funding | Unfavorable) = (P(Unfavorable | No industry funding) * P(No industry funding)) / P(Unfavorable)

P(Unfavorable | No industry funding) = 0.36

P(No industry funding) = 35/100

P(Unfavorable) = 1 - P(Favorable) = 1 - 0.587 = 0.413

P(No industry funding | Unfavorable) = (0.36 * (35/100)) / 0.413 ≈ 0.305 or 30.5%

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Answer:

Step-by-step explanation:

hello,

arithmetic sequence means that you go from one term to the next one by adding or subtracting a constant value

check the first sequence

-20

-25

-30

-35

-40

each time 5 is subtracted

-20 - 5 = -25

-25 - 5 = -30

-30 - 5 = -35

-35 - 5 = -40

so the correct answer is the first one.

hope this helps

Answer:

x = 38°

Step-by-step explanation:

Complementary angles = 90°

90° = x + x+14

90° = 2x + 14

104 = 2x

x = 52°

the next angle should be 52 - 14 = 38°

So x = 38°

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

x=1

Step-by-step explanation:

The value of x is 1. So, the correct answer is d. x = 1.

To find the value of x, we can use the fact that the corresponding sides of congruent triangles are equal.

In triangle ABC, side AB is labeled 4x - 1, side BC is labeled 4, and side AC is labeled 5.

In triangle CDE, side CD is labeled 5, side DE is labeled x + 2, and side CE is labeled 4.

Since triangle ABC is congruent to triangle CDE, we can set up the following equations:

4x - 1 = 5
4 = x + 2

Simplifying these equations, we get:

4x = 6
x = 1

Therefore, the value of x is 1. So, the correct answer is d. x = 1.

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The loop will keep executing infinitely, leading to an infinite loop.

What is for loop ?

For loop can be defined as, it run the given code in the given number of times , at first it intialises the value and than checks the condition and than increments or decrements the value.

Yes, the given for-loop is an infinite loop.

The loop condition j < 1000 is based on the variable j, which is initialized to 0, but j is never incremented or modified inside the loop. Therefore, the condition j < 1000 will always be true, and the loop will continue to execute indefinitely.

Although the variable count is being incremented inside the loop, it is not being used in the loop condition or in any other way that would cause the loop to terminate.

Hence, the loop will keep executing infinitely, leading to an infinite loop.

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Answer:

1400

Step-by-step explanation:

Answer:

1400 I hope its correct

Jared needs to meet at least 87 random people to have an 85% chance of meeting at least one person with his birthday. we can use the concept of the birthday paradox.

The probability of two people having the same birthday is 1/365. Therefore, the probability of two people not having the same birthday is 1 - 1/365 = 364/365.
Let's assume Jared has met x random people. The probability of none of them having the same birthday as Jared is \((364/365)^x.\)

To find the probability of at least one person having the same birthday as Jared, we subtract the probability of none of them having the same birthday from 1:

\(1 - (364/365)^x.\)

We want this probability to be at least 0.85, so we set up the equation:

\(1 - (364/365)^x\) ≥ 0.85.

Solving this equation, we find x to be approximately 87.

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Answer:

a.

Step-by-step explanation:

Answer:

don't know........

......