X(x-4)
I’m not sure what the answer is

Answer:

B)  73°

Step-by-step explanation:

m∠NMP = 180 -168 = 12

Sum of interior angles of ΔNMP = 180

m∠P = 180 - 95 - 12 = 73

Answer: 1 tablespoon

Step-by-step explanation:

Answer: 9°

Step-by-step explanation:

(3w + 7)° + 90° + (7w - 7)° = 180°

=> 3w + 7 + 90 + 7w - 7 = 180

=> 10w + 90 = 180

=> 10w = 180 - 90 = 90

=> w = 90 / 10 = 9°

Answer:

Sure! Let’s solve this equation step by step.

(7000).03 + (x).05=830

First, we can simplify the left side of the equation:

210 + 0.05x = 830

Next, we can subtract 210 from both sides:

0.05x = 620

Finally, we can divide both sides by 0.05 to solve for x:

x = 12400

So the solution to the equation (7000).03 + (x).05=830 is x = 12400.

The exact volume of the solid obtained by rotating the given region about the x-axis is -72π + 85.34 cubic units.

To find the exact volume of the solid obtained by rotating the region bounded by the curves y = -x^2 + 10x - 24, y = 0, and the x-axis about the x-axis, we can use the method of cylindrical shells.

The volume of each cylindrical shell can be calculated as follows:

dV = 2πx * f(x) * dx

Where:

x is the variable of integration, ranging from the x-coordinate where the curves intersect to the x-coordinate where the curve y = 0 intersects the x-axis.

f(x) represents the height of the cylindrical shell, which is given by the difference between the two curves: f(x) = (-x^2 + 10x - 24) - 0 = -x^2 + 10x - 24.

To find the x-coordinates where the curves intersect, we set the two equations equal to each other and solve for x:

-x^2 + 10x - 24 = 0

This quadratic equation can be factored as:

-(x - 4)(x - 6) = 0

So, the curves intersect at x = 4 and x = 6.

Now we can calculate the volume of the solid by integrating the expression for dV from x = 4 to x = 6:

V = ∫[4,6] 2πx * (-x^2 + 10x - 24) dx

Simplifying the integrand:

V = 2π ∫[4,6] (-x^3 + 10x^2 - 24x) dx

Integrating term by term:

V = 2π [-(1/4)x^4 + (10/3)x^3 - 12x^2] |[4,6]

Evaluating the definite integral at the limits:

V = 2π [-(1/4)(6^4) + (10/3)(6^3) - 12(6^2)] - [-(1/4)(4^4) + (10/3)(4^3) - 12(4^2)]

Simplifying the expression:

V = 2π [-(1/4)(1296) + (10/3)(216) - 12(36)] - [-(1/4)(256) + (10/3)(64) - 12(16)]

Calculating the values:

V = 2π [-324 + 720 - 432] - [-64 + 213.33 - 192]

V = 2π [-36] - [-42.67]

V = -72π + 85.34

Therefore, the exact volume of the solid obtained by rotating the given region about the x-axis is -72π + 85.34 cubic units.

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Answer:

96 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are 96 inches in 8 feet

The total volume is,

= 350 + 100

= 450 in³

And, The total surface area is,

= 150 + 70 + 140 + 50

= 410 in²

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

For Top prism:

To find the volume of the top prism, multiply the area of the base by the height. This is 1/2 times width times height times length.

V = 1/2 × l × w × h

   = 1/2 × 5 × 10 × 4

   = 100 in.

To find the surface area of a prism, find the area of the triangular base and the area of each rectangular side.

Area of the base is,

A = 1/2  bh = 1/2 × 7 × 4 = 14 .

Since there are 2 bases, the area is 28.

Now, Area of the rectangular side is,

A = bh

   = 10 x 5  = 50 in².

Since there are two,

Hence, the area is,

A = 2 × 50 = 100

And, The surface area of the prism is ,

50 + 100 = 150 in²

Bottom prism:

To find the volume of the bottom prism, multiply the width times the height times the length.

V = lwh

   = 10 x 5 x 7

   = 350 in³

And, To find the surface area of the bottom prism, find the area of the base and each side of the house.

A = 10 x 5 = 50 in

A = 10 × 7 = 70 which occurs twice so it has a total area of 140.

A = 5 x 7 = 35 which occurs twice so it has an area of 70

Hence, The total volume is,

350 + 100

450 in³

And, The total surface area is,

= 150 + 70 + 140 + 50

= 410 in²

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Answer:

\(x = \frac{6 + \sqrt{ - 12} }{6} \)

and

\(x = \frac{6 - \sqrt{ - 12} }{6} \)

it's not has a Real number

Step-by-step explanation:

hope it helps you ☺️

Let x = the number of 5¢ fare increases

Let y = money the company gets

Equation: y = (360 - 20x) (0.50 + 0.05x)

Solve for x when y = 196

196 = 180 + 18x - 10x - x^2

x^2 - 8x + 16 = 0

Factor to solve for x

(x - 4)^2 = 0

x = 4

Remember what x means

Total fare = 0.50 + 0.05x = 0.50 + 0.20 = 0.70

Total fare = 70¢

The normalcdf function is a feature on some calculators that is used to calculate the cumulative probability of normal distribution within a certain range, from x1 to x2. It requires four values: the mean, the standard deviation, the lower limit, and the upper limit.

We need to find the probability that an infant's weight will be greater than 4 pounds. The given mean is 5.4 pounds with a standard deviation of 0.9 pounds.Assuming infants' weights follow a normal distribution with this mean and standard deviation, we can solve this problem using the normalcdf function with the following values:Lower limit: 4 poundsUpper limit: infinityMean: 5.4 poundsStandard deviation: 0.9 poundsWe input these values into the normalcdf function as normalcdf(4, infinity, 5.4, 0.9).

In this scenario, a baby boutique wants to introduce a new line of baby clothes, and they want to assure that the clothes fit well by reviewing the standard for infant clothing. The designers can use the weight of infants as a guideline for determining the size of the clothes. The weight of infants varies based on age and sex, and for a baby boutique, it is essential to consider the weight of infants to design clothes that fit comfortably.For assurance in the infant's size, the designers have to review the standard for infant clothing. In 2014, the CDC found a sample mean weight for infants between 0 and 2 months of age to be 5.4 pounds with a standard deviation of 0.9 pounds. To design clothes that fit well for infants, it is essential to know the probability of the weight of an infant falling within a specific range.Assuming infants' weights follow a normal distribution with a mean of 5.4 pounds and a standard deviation of 0.9 pounds, the probability that an infant's weight will be greater than 4 pounds can be found using the normalcdf function. This function is used to calculate the cumulative probability of normal distribution within a certain range, from x1 to x2. It requires four values: the mean, the standard deviation, the lower limit, and the upper limit. In this case, the lower limit is 4 pounds, and the upper limit is infinity. We input these values into the normalcdf function as normalcdf(4, infinity, 5.4, 0.9).The result of this function is the probability that an infant's weight will be greater than 4 pounds. Based on the normal distribution curve, we can say that there is a high probability that an infant's weight will be greater than 4 pounds.

To summarize, the probability that an infant's weight will be greater than 4 pounds is found using the normalcdf function. The input values for this function are the mean, standard deviation, lower limit, and upper limit. The mean and standard deviation are given as 5.4 pounds and 0.9 pounds, respectively. The lower limit is 4 pounds, and the upper limit is infinity. We input these values into the normalcdf function as normalcdf(4, infinity, 5.4, 0.9). The result of this function is the probability that an infant's weight will be greater than 4 pounds. Based on the normal distribution curve, we can say that there is a high probability that an infant's weight will be greater than 4 pounds.

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To find the surface area of the sphere with a unit cube inscribed, we first need to determine the radius of the sphere. A unit cube has side length 1, and its vertices are at a distance of 1 unit from each other. Since all eight vertices of the cube are on the sphere, we can consider the longest diagonal of the cube to calculate the diameter of the sphere.

The longest diagonal of the cube can be calculated using the Pythagorean theorem in three dimensions: the square of the diagonal (d²) is equal to the sum of the squares of the side lengths (a² + b² + c²), where a, b, and c are the side lengths of the unit cube. In this case, a = b = c = 1. So, d² = 1² + 1² + 1² = 3. Thus, d = √3.

The diameter (d) of the sphere is equal to the longest diagonal of the cube. Therefore, the radius (r) of the sphere is half of the diameter: r = d/2 = √3/2.

Now that we have the radius, we can calculate the surface area (A) of the sphere using the formula: A = 4πr². Plugging in the radius, we get:

A = 4π(√3/2)² = 4π(3/4) = 3π.

So, the surface area of the sphere is 3π square units.

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The length of the third side of the quadrilateral is 7.5 cm.

A quadrilateral is a polygon that has four sides and four angles. The sum of interior angles in a quadrilateral is 360°. Types of quadrilateral are square, rectangle, rhombus, kite and so on.

Let x represent the length of the third side, hence:

x = 5 + (5 * sin(20)) + (5 * sin(10)) = 7.5 cm

The length of the third side of the quadrilateral is 7.5 cm.

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Answer:

I just took the k12 quiz its 7.5 100%

Step-by-step explanation:

Answer:

yes, every one will fit.

Step-by-step explanation:

114 divided by 3 is 38 so there are 38 teams and each person will fit.

9514 1404 393

Answer:

  22.  yes

  23.   is divisible by 9

Step-by-step explanation:

A number is divisible by 9 if the sum of its digits is divisible by 9. The process of reducing the sum of digits to a single digit is called "casting out nines." It can be a useful process for checking arithmetic of all sorts.

A number is divisible by 3 if the sum of its digits is divisible by 3.

__

22. 114 is divisible by 3 because 1+1+4 = 6, a number divisible by 3. Everyone will have a spot.

__

24. 2187 has a sum of digits of 2+1+8+7 = 18, which has a sum of digits of 1+8=9. This is divisible by 9, so 2187 is divisible by 9.

The first two numbers in each row of the relative frequency table represent the percentage of cars and trucks of a particular color out of the total number of vehicles in the parking lot.

To create a relative frequency table, we need to divide the frequency of each color by the total number of vehicles (65) and then multiply by 100 to get a percentage.

Relative Frequency Table by Color:

The first two numbers in each row must add up to 100% because we are calculating the relative frequency of each color with respect to the total number of vehicles (65). Therefore, the percentage of cars and trucks of each color must add up to 100% of that color's total frequency. The total row must also add up to 100% because it represents the entire population of vehicles.

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The given question is incomplete, the complete question is:

There are 65 vehicles in a parking lot. The frequency table shows data about the types and colors of the vehicles. Complete a relative frequency table to show the distribution of the data with respect to color. Use pencil and paper. Explain why the first two numbers in each row must add up to 100%. Frequency Table Type of Vehicle Color Car Truck Total Blue 22 14 36 Red 12 17 29 Total 34 31 65

Answer:

x6 7  8  9  8  y 77899

Step-by-step explanation:

Answer: 120 seconds

Step-by-step explanation: In order to find the maximum value of a function, you can take the derivative of the function and equalize the result to 0.

f'(x)=(-3x^2 + 12x)'=-6x+12=0

x=2

When x is 2, the function will reach its maximum value.

f(2)=-3(2)^2 + 12.2 = -12 + 24 = 12

The maximum value (f(x)) is equal to 12 and the time passed is 2 minutes which is equal to 120 seconds.

Answer:

After 2 seconds

Step-by-step explanation:

Here is the screenshot of the parabola that formed from the quadratic equation.

As you can see the maximum point of the parabola reaches 12 feet after 2 seconds.

Also as stated in the question " After how many seconds will the glider reach its maximum distance from the ground?" We are trying to see at how many seconds the glider reaches the maximum point, not how many seconds until it lands.

Thus, the answer would be 2 seconds

The solution to the value of x is 5 < x < 15

A triangle is a shape that has 3 sides and angles. According the triangle rule, the sum of any two sides of a triangle is equal to the third.

From the given triangle shown;

15+x > 20 + 15 > 20 + x

Simplify

15+x > 20

x > 20 - 15

x > 5

Also;

20+15 > 20 + x

35 > 20 + x

35 - 20 >x

x < 15

Hence the solution to the value of x is 5 < x < 15

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Answer:

A is the answer for the question

Answer:

A is the right and accepted answer sheh?

The length of arc AB in terms of pi is 16pi.

We have,

To find the length of the arc AB in terms of pi, we can use the formula:

Length of arc = (angle intercepted by arc / 360 degrees) * (circumference of the circle)

Given:

Diameter = 32 (which means the radius is half of the diameter, so the radius is 32/2 = 16)

Angle intercepted by arc AB = 180 degrees

First, we need to find the circumference of the circle using the formula:

Circumference = 2 x pi x radius

Circumference = 2 x pi x 16 = 32 x pi

Now, we can calculate the length of arc AB:

Length of arc AB = (180 / 360) x (32 x pi)

Simplifying:

Length of arc AB = (1/2) x (32 x pi)

Length of arc AB = 16 x pi

Therefore,

The length of arc AB in terms of pi is 16pi.

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Answer:

\(\displaystyle \frac{5}{20}\)

Step-by-step explanation:

    We will put the number of wanted outcomes over the number of possible outcomes.

\(\displaystyle \frac{\text{wanted outcomes}}{\text{possibly outcomes}} =\frac{\text{red marbles}}{\text{number of all marbles in the bowl}}=\frac{5}{5+7+8} =\frac{5}{20}\)

Answer:

The answer is that the ball was in the air for 0.56 seconds when it was 54 feet above the ground. This was determined by using the Quadratic Formula to solve the equation 54 = -16s^2 + 96s for the variable s.

Step-by-step explanation:

To solve this equation, we can use the Quadratic Formula, which states that for a quadratic equation in the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

In this case, a = -16, b = 96, and c = -54. Plugging these values into the Quadratic Formula, we get:

s = (-96 +/- sqrt(96^2 - 4 * -16 * -54)) / (2 * -16)

= (96 +/- sqrt(9216 + 4352)) / -32

= (96 +/- sqrt(13,568)) / -32

Since we want the time (in seconds) that the ball was in the air, we need to find the positive solution to this equation. Thus, we have:

s = (96 + sqrt(13,568)) / -32

= (96 + 120) / -32

= 0.5625 seconds

Rounding this value to the nearest hundredth of a second, we get 0.56 seconds. This means that the ball was in the air for 0.56 seconds when it was 54 feet above the ground.

To solve this equation, we used the Quadratic Formula. This method allowed us to find the time (in seconds) that the ball was in the air by solving for the value of the variable s in the given equation. This helped Vue answer his question by providing a numerical value for the amount of time that the ball was in the air when it was 54 feet above the ground.

From the given data, the effectiveness of epoetin alfa, which is a medication used to treat anemia, can be determined through a blood test called a complete blood count (CBC).

The CBC measures the number of red blood cells, white blood cells, and platelets in the blood, as well as the levels of hemoglobin and hematocrit.

In patients receiving epoetin alfa, the goal is to increase the hemoglobin level and hematocrit to a target range that is appropriate for their condition. Therefore, monitoring these levels through regular CBCs can help determine whether the medication is effective and whether the dosage needs to be adjusted.

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The well defined set is a = ( test cricket captains of pakistan).

A set which is composed of elements which have finite value and does not depend upon the nature of thinking of different persons is called well defined set.

Some key features regarding the set are-

The following are some examples of basic set concepts:

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The area of a horizontal cross-section of the cylinder whose diameter is 2.75 inches and height is 6 inches is 5.9 inch².

Diameter of the base of the container = 2.75 inch

Height of the cylinder = 6 inch

Area of a horizontal cross-section of the cylinder = πr²

Here, r = radius of the container

Radius = Diameter/2

Radius = 2.75/2

Radius = 1.375

Area of the horizontal cross-section of the cylinder = 3.14 × 1.375 × 1.375

Area = 5.9365625

Area of the horizontal cross- section of the cylinder to the nearest tenth is 5.9

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Finding the Inverse of a Polynomial Function by Restricting the Domain

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Answer:

yesjsjsjsjsjsjsjsjdjsj

Answer:

y = -19.5, x = -14.5

Step-by-step explanation:

We can form equations from this statement:

x + y = -34

x - y = 5

If we rearrange the second equation, we get:

x - y = 5

x = 5 + y

Then, we substitute this value into the other equation to get the answer.

x + y = -34

5 + y + y = -34

Then solve:

2y + 5 = -34

2y = -39

so, y = -19.5

now we can find x with y:

-19.5 + x = -34

-34 + 19.5 = x

x = - 14.5

The standard deviation for the total portfolio returns can be calculated using the weighted average of the standard deviations of the index fund and the risk-free asset. The standard deviation for the total portfolio returns is 10.5%.


The standard deviation of a portfolio measures the variability or risk associated with the portfolio's returns. In this case, the portfolio is 70% invested in an index fund (with a standard deviation of returns of 15%) and 30% invested in a risk-free asset.

To calculate the standard deviation of the total portfolio returns, we use the weighted average formula:

Standard deviation of portfolio returns = √[(Weight of index fund * Standard deviation of index fund)^2 + (Weight of risk-free asset * Standard deviation of risk-free asset)^2 + 2 * (Weight of index fund * Weight of risk-free asset * 1Covariance  between index fund and risk-free asset)]

Since the risk-free asset has a standard deviation of zero (as it is risk-free), the second term in the formula becomes zero. Additionally, the covariance between the index fund and the risk-free asset is also zero because they are independent. Therefore, the formula simplifies to:

Standard deviation of portfolio returns = Weight of index fund * Standard deviation of index fund

Plugging in the values, we get:

Standard deviation of portfolio returns = 0.70 * 15% = 10.5%

Hence, the standard deviation for the total portfolio returns is 10.5%. This means that the total portfolio's returns are expected to have a variability or risk represented by this standard deviation.

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The motion of the shape in each frame are:

Rigid transformation is a method in which the orientation, size or position of a given object is changed.

Rigid transformation implies either increasing, decreasing or changing the orientation of a given shape. Some types of rigid transformation are: reflection, rotation, translation, and dilation.

i. Reflection is a method in which a given object is flipped about a reference point or line.

ii. Rotation is the process in which a given object is turned about a certain angle in degrees.

iii. Translation involves moving a given object a definite units horizontally or vertically.

iv. Dilation is a process in which the dimensions of a given object is either increased or decreased as required.

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