The angle times three out of 10 of the circle what is the measure of the angle

To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:

1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:

   4x3 + 5x = -21

2. Factor out x from the left-hand side of the equation:

   x(4x2 + 5) = -21

3. Divide both sides by (4x2 + 5):

   x = -21 / (4x2 + 5)

So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.

Answer:

Step-by-step explanation:

1) 2x + 246 = 360° (Vertically opposite and angle at a point)

2x = 360 - 246

2x = 114°

x = 114 / 2

x = 57°

3) Since <ABD is a right angle (i.e its sum is 90°)

<CBD = 90° - 75° = 15°

5) <1 = <2 (Vertically opposite angles are equal)

12x + 3 = 10x + 15

12x - 10x = 15 - 3

2x = 12

x = 6

Therefore,

<2 = 10(6) + 15

<2 = 75°

Answer:

a) the velocity of particle is -Aωsin (ωt + δ)

b) the velocity is zero when t =  (nπ - δ) / ω, n ∈ Z

Step-by-step explanation:

Given that;

s = A cos(ωt + δ)

(a)

Find the velocity of the particle at time t

the velocity of the particle is given as; v = ds/dt

so differentiate s = A cos(ωt + δ) on both sides with respect to t

v = ds/dt = d/dt [ A cos(ωt + δ) ]

v = A d/dt cos(ωt + δ)

v = -Asin(ωt + δ) d/dt(ωt + δ)

v = -Aωsin (ωt + δ)

therefore, the velocity of particle is -Aωsin (ωt + δ)

b)

When is the velocity 0?

Now since the velocity will be zero; lets set v = 0

-Aωsin (ωt + δ) = 0

sin (ωt + δ) = 0

ωt + δ = nπ

ωt = nπ - δ

t =  (nπ - δ) / ω, n ∈ Z

Therefore the velocity is zero when t =  (nπ - δ) / ω, n ∈ Z

Answer:

Therefore, the volume of the diversion tunnel is approximately 9,839,916,800 cubic feet and the surface area is approximately 1,000,530.9 square feet.

Step-by-step explanation:

To find the volume and surface area of a diversion tunnel, we can use the formulas for the volume and lateral surface area of a cylinder.

The volume of a cylinder is given by the formula:

V = πr^2h

Where:

V is the volume,

π is a mathematical constant approximately equal to 3.14159,

r is the radius of the cylinder, and

h is the height (or length) of the cylinder.

Substituting the given values:

r = 56 feet

h = 4,000 feet

V = π(56^2)(4,000)

V ≈ 3.14159 * 56^2 * 4,000

Calculating the volume:

V ≈ 9,839,916,800 cubic feet

The surface area of the lateral (curved) part of a cylinder is given by the formula:

A = 2πrh

Where:

A is the surface area,

π is a mathematical constant approximately equal to 3.14159,

r is the radius of the cylinder, and

h is the height (or length) of the cylinder.

Substituting the given values:

r = 56 feet

h = 4,000 feet

A = 2π(56)(4,000)

A ≈ 2 * 3.14159 * 56 * 4,000

Calculating the surface area:

A ≈ 1,000,530.9 square feet

Therefore, the volume of the diversion tunnel is approximately 9,839,916,800 cubic feet and the surface area is approximately 1,000,530.9 square feet.

We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

The mean is a measure of central tendency that represents the average value of a set of numbers. It is also called the arithmetic mean or simply the average.

We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

The mean and the median are two different measures of central tendency, and they can have different values depending on the distribution of the data. In general, if a data set is symmetric and bell-shaped, the mean and the median are close to each other. However, if the data set is skewed, the mean and the median may be different.

For example, consider the following two data sets:

Set 1 data: 1, 2, 3, 4, and 5.

The median is 3.

The mean is (1 + 2 + 3 + 4 + 5) / 5 = 15 / 5 = 3.

Data set 2: 1, 2, 3, 4, 10

The median is 3.

The mean is (1 + 2 + 3 + 4 + 10) / 5 = 20 / 5 = 4.

In data set 1, the mean is the same as the median. In data set 2, the mean is greater than the median because the value 10 is an outlier that pulls the mean up.

Therefore, without additional information about the distribution of the data, we cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

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The y-coordinate of -3f(x-1) when x = 0 is -63

From the question, we have the following parameters that can be used in our computation:

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

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Answer:

For anything you have to ask question, right? How can someone understand if you just show the figure

Answer:

Step-by-step explanation:

True, The demand for popcorn is determined by the number of producers that are willing and able to produce popcorn.The demand for popcorn is determined by the number of producers that are willing and able to produce popcorn.The demand for popcorn is determined by the number of producers that are willing and able to produce popcorn.

The volume of a rectangular prism whose side is 10 and length is 13 as described in the task content is; 1300.

It follows from the task content that the rectangular prism in discuss has its side lengths to be 10 and it's height to be; 13.

It therefore follows from the formula for volume of a rectangular prism that the Volume of the prism can be evaluated as follows;

Volume, V = 10 × 10 × 13.

V = 1300.

Ultimately, the volume of the rectangular prism in discuss is; 1300.

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1.257 gram

Hope thus helped!

1.257 grams of the active ingredient is included in one pill.

Unit conversion is a multi-step procedure that requires multiplying or dividing by a numerical factor, or more specifically, a conversion factor. Additionally, rounding and choosing the right number of significant digits may be required. Different metrics are measured using various conversion units.

We have been given that 1,257 mg of the active ingredient is included in one pill.

To determine whether the number of grams is equal to 1,257 mg of the active ingredient.

Since one gram = 1000 milligrams

So one milligram would be 1/1000 gram

So 1,257 milligrams would be :

⇒ (1/1000) × 1,257 gram

⇒  1.257 gram

Therefore, 1.257 grams of the active ingredient is included in one pill.

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The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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Answer:

A.

Step-by-step explanation:

It's a little blurry to see the answers but I can assure you that A is the best answer because C has a y-intercept of 2 while A is higher in which it is placed at 3.

According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.

In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:

According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.

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The relation between total salary and saving can be represent by the equation, Y =  X + 292

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

Catniss is saving money to take a trip to the Capitol with her sister

Every week,

After taking out the $292, which she needs for her weekly expenses

And that amount she sets aside the same portion of her paycheck

After 10 weeks ,

Catniss has $405

Suppose, she is saving X amount every week,

And her total salary is, Y

Total salary = saving + weekly expenses

    Y            =  X + 292

So, she saved money after 10 week,

⇒ 10X

Given saving after weeks, $405

⇒ 10X = 405

⇒  X = 40.5

Y =  X + 292

   =  40.5 + 405

   =   $445.5

Hence, the equation is Y =  X + 292

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Answer:

4.5

Step-by-step explanation:

Answer:

it is 9/2

Step-by-step explanation:

soo uhhh first cancel out two

so it becomes 3 (3/2) then it equals to 9/2

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

Tο cοmplete the assignment, use the tried-and-true straightfοrward methοdοlοgy, the real variables, and any pertinent details frοm the preliminary and specialized questiοns. In respοnse, custοmers might be given anοther οppοrtunity tο range sample the prοducts. In the absence οf such changes, majοr advances in οur knοwledge οf prοgrammes will be lοst.

Here,

We must divide the tοtal cοst by the quantity οf cupcakes in οrder tο determine the unit cοst οf each οptiοn:

Twelve cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  Unit cοst: $29 fοr 12 cupcakes.

=>  $2.42 is the unit cοst per cupcake.

Tο make 24 cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=> 24 cupcakes equals $56 fοr the unit.

=>  $2.33 is the unit cοst per cupcake.

50 cupcakes =

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  $129 fοr a unit οf 50 cupcakes.

=>  Unit cοst: $2.58 fοr each cupcake

As a result, 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

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Answer:

1.106 inches squared 2. 60 inches cubed

Step-by-step explanation:

The surface area is just calculated like this 7.5*2*2 (because there are 2 faces) = 30 then 2*4*2= 16 then 4*7.5*2= 60 then you add them to get 106

For the second all you do is multiply the three values which gets you 60

would be amazing if you picked this as brainliest :)

Answer:

Step-by-step explanation:

.Find the surface area

(7,5*4) *2 + (7,5*2) *2 + (4*2) * 2 =

60+ 30+ 16 => 106 inch²

2.Find the volume

7,5 * 2*4 =>60 inch³

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

6

Step-by-step explanation:

\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

We can use the rules of exponents and simplify the terms with the same base.

Dividing the coefficients: 21 / 7 = 3.

For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)

Similarly,\(b^5 / b = b^(5-1) = b^4\).

Putting it all together, the simplified expression is:

\(3a^3b^4.\)

Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

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Answer:

x=5/8

Step-by-step explanation:

The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

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Answer:

Step-by-step explanation:

x      y

-2     6

-1       2

0       -2

1          -6

2         -10

Answer: B. 105 mph

Step-by-step explanation:

Answer:

trust me (D) is the correct answer can you mark b please thank you

Step-by-step explanation:

I hope it help you lot see you around

Answer:

X = -21

Step-by-step explanation:

X / 3 + 5 = -2

X / 3 = -7

X = -21

Answer:

x = -9

Step-by-step explanation:

x + 15 = 6

x = 6 - 15

x = -9

a) The slope intercept form of equation of line here is

    \(y = -\frac{5}{4}x + 5\)

b)  One combination is 4 sweatshirts and no t-shirt and other combination is no sweatshirt and 5 t-shirt

x - intercept = 4 means I can buy 4 sweatshirts if I do not buy any t-shirt

y - intercept = 5 means I can buy 5 t-shirts if I buy no sweatshirt

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If \(\theta\)  is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = \(tan \theta\)

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

a) Let the number of sweatshirts be x and the number of t-shirts be y

 A clothing store charges $50 for sweatshirts and $40 for t-shirts

 Total amount to be spent = $200

 So the required equation of line,

 50x + 40 y = 200

 10(5x + 4y) = 200
      5x + 4y = \(\frac{200}{10}\)

      5x + 4y = 20

        4y = -5x + 20

          \(y = -\frac{5}{4}x + \frac{20}{4}\)

          \(y = -\frac{5}{4}x + 5\)

b) If x = 0,  \(y = -\frac{5}{4} \times 0 + 5\)

   y = 5

   If y = 0,

   \(0 = -\frac{5}{4} \times x + 5\\\frac{5}{4}x = 5\\x = \frac{5 \times 4}{5}\\x = 4\)

  So, (4, 0 ) and (0, 5) are two points on the line

  So one combination is 4 sweatshirts and no t-shirt and other combination is no sweatshirt and 5 t-shirt

x - intercept = 4 means I can buy 4 sweatshirts if I do not buy any t-shirt

y - intercept = 5 means I can buy 5 t-shirts if I buy no sweatshirt

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The distance between the fire and station B is 10.7miles

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

The angle at A = 90- 35

= 55°

The angle at B = 90-49

= 41°

Angle at the fire = 180-(41+55)

= 180-96 = 84°

Using sine rule

sin84/13 = sin55/x

xsin84 = 13sin55

0.995x = 10.65

x = 10.65/0.995

x = 10.7 miles

Therefore the distance between the fire and station B is 10.7 miles.

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The all given decimal digits are gather to the 22.7 and also the 22.8 except 22.65.

According to the statement

we have to collect the given digits with the decimals to the 22.7 and therefore the 22.8.

So, For this purpose, we all know that the

All digits to the proper of the mathematical notation, that name the fractional a part of the quantity, are decimal digits.

So, The given digits are:

A. 22.72 = 22.7 (by Round up)

B. 22.85 = 22.8 (by Round up)

C. 22.81 = 22.8 (by Round up)

D. 22.65 = 22.6 (by Round up)

E. 22.75 = 22.7 (by Round up)

F. 22.68 = 22.7 (by Round up)

Here all the digits are the pull together to the given digits but one in every of the digit isn't gather to the given terms which is 22.65.

So, The all given decimal digits are pull together to the 22.7 and the 22.8 except 22.65.

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