What number is halfway between 10 and 17

Answer: is b.21

Step-by-step explanation:

I found the questions. 63/3=21

Answer:

1/7 = 2/14 = 3/21 = 4/28 = 5/35 = 6/42 = 7/49 = 8/56 = 9/63 = 7/10

Step-by-step explanation:

x = 6 is the value of x does f(x) = 2.

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Here, we have

Given function:  f(x) = −1 + 0.5x

We have to find the value of x does f(x) = 2.

For this, we put the different values of x and see what value satisfies the given function.

For x = -6

f(x) = −1 + 0.5(-6)

f(x) = -4

For x = 5

f(x) = −1 + 0.5(5)

f(x) = 1.5

For x = 6

f(x) = −1 + 0.5(6)

f(x) = 2

Hence, x = 6 is the value of x does f(x) = 2.

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2x^2 + 8x - 12 = 0..divide by 2

x^2 + 4x - 6 = 0

x^2 + 4x = 6...add 4 to both sides of the equation

x^2 + 4x + 4 = 6 + 4

(x + 2)^2 = 10....<== ur constant is 10

x + 2 = (+-)sqrt 10

x = -2 (+ - ) sqrt 10

x = -2 + sqrt 10

x = -2 - sqrt 10

The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:

Football 29%

Soccer 9%

Baseball 14%

Basketball 8%

Hockey 8%

Other 32%

We need to find the central angle measure, x, for the Baseball slice in the circle graph.

For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:

Central angle measure = (Percentage/100) × 360°

Now, using the above formula, we can calculate the central angle measure for each sport as shown below:

Football: (29/100) × 360° = 104.4°

Soccer: (9/100) × 360° = 32.4°

Baseball: (14/100) × 360° = 50.4°

Basketball: (8/100) × 360° = 28.8°

Hockey: (8/100) × 360° = 28.8°

Other: (32/100) × 360° = 115.2°

The sum of all central angle measures should be 360°, which is the measure of a full circle.

So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°

We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.

Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

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An orthonormal set is a set of orthogonal unit vectors.

Normalization is the process of making unit vectors.

A set of vectors in which each vector is orthogonal to every other vector in the set is called an orthogonal set of vectors.

Two vectors are orthogonal when their dot product equals zero.

An orthonormal set is one in which each vector has length 1 and is orthogonal.

The process of creating a vector of length 1 in the same direction of the original vector is called "normalization".

An orthonormal set of vectors that is a basis of a vector space is quite useful. We can use the Gram-Schmidt process to transform a basis of a vector space (which may not be orthogonal) into an orthonormal basis.

To normalize vectors to produce an orthonormal set of vectors, we calculate the length of the vector and divide the vector by its length, to obtain a unit vector.

Since the question asked about "how to normalize vectors to produce an orthonormal set" that implies that the vectors already form an orthogonal set.

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The given question is incomplete,

So , I take another question, The question is:

How to normalize vectors to produce an orthonormal set?

EXPLANATION

We have the following facts:

Mean = 42

Standard Deviation = 10

We can see that 52 is 1 standard deviation to the right of the mean.

Furthermore, 72 is 3 standard deviations to the right of the mean.

Also, the Empirical Rule has 68% between 1 standard deviation and 34% on one side. Additionally, it has 95% between two standard deviations or 47.5% on one side.

Moreover, It has 99.7% within 3 sd or 49.85% on one side.

Following this reasoning, we can affirm that between 3 standard deviations and 1 standard deviation there are 49.85-34=15.85%

Hence, there are roughly 1.75 ounces of trail mix in each bag.

What does amount look like?

She put an incredible/exorbitant amount of time into planning her garden. A candidate's ability to spend money is now restricted under the new law. We have a lot of resources at our disposal. = We have such a lot of resources at our disposal.

We must sum up the weight of the cashews, almonds, and walnuts and divide it by the quantity of bags to determine how many ounces inside each bag.

Total weight of the trail mix = 20 + 10.2 + 15.3 = 45.5 ounces

Number of bags = 26

Weight per bag = (Total weight of trail mix) ÷ (Number of bags)

Weight per bag = 45.5 ÷ 26 ≈ 1.75 ounces

Therefore, each bag of trail mix contains approximately 1.75 ounces.

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Answer:16x16

Step-by-step explanation:

9514 1404 393

Answer:

  a.  see below for diagram. Angle for the length; length for the angle

  b. 6.84°; not to code

  c. 36.1 ft

Step-by-step explanation:

a. The diagram is shown below. Mr. Gow needs to find the angle it makes in order to determine if it is up to code. Alternatively, Mr. Gow needs to find the required length for a ramp that meets code.

__

b. The angle the ramp makes can be found using the tangent relation.

  Tan = Opposite/Adjacent

  tan(angle) = 3/25

  angle = arctan(3/25) ≈ 6.84°

The ramp will make a 6.84° angle with the ground. It will not meet code.

__

c. We can find the distance from the building where the ramp must start using the same trig relation.

  tan(4.75°) = (3 ft)/(distance)

  distance = (3 ft)/tan(4.75°) ≈ 36.1 ft

The ramp must start 36.1 feet from the building to exactly meet code.

ABOVE answer is absolutely correct

The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively

Triangle PQS is congruent with triangle PRS

Therefore, PQ = PR

That is;

PQ = 8

PR = 2x

8 = 2x

X = 8/2 = 4

PR = 2(4) = 8

For ST;

Triangle VST = VUT

That is, TU = ST

ST = 5z

TU = 2z+3

5z = 2z+3

5z+2z = 3

z= 3/3 = 1

ST = 5(1) = 5

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Answer:

12+6y=4x

Step-by-step explanation:

Answer:

y=2/3x−2

Step-by-step explanation:

Answer:

3*3*3=27 is the rights answer

3x6=18(move 1 to the left/replace the 0)

3x1=3

Derrick will receive total of $340 from all of his deductions

To create a histogram for these values using four classes, we must first determine the class width, which is determined as the data range divided by the number of classes. The data range is 151 - 58 = 93, which is the difference between the biggest and smallest numbers. The breadth of the class is 93/4 = 23.25. We'll round it up to 24 because we can't have a fractional class width.

Then, for each of the four classes, we'll start with the smallest number (58) and add the class width (24) again until we reach the maximum value (151). The lowest class boundaries for the four classes are as follows:

Class 1: 58

Class 2: 82

Class 3: 106

Class 4: 130

We'll determine the upper class limit for each lower class limit by adding the class width (24) - 1. The upper class restrictions are as follows:

Class 1: 81

Class 2: 105

Class 3: 129

Class 4: 153

Finally, we'll tally the amount of deductions made in each class and utilise that data to create the histogram. Each class has the following number of deductions:

Class 1: 1 (58)

Class 2: 3 (97, 98, 101)

Class 3: 3 (103, 127, 144)

Class 4: 3 (144, 151, 65)

We can compute the total amount Derrick will earn from all of his deductions now that we know the number of deductions in each class. He will earn $25 for each deduction of less than $130, and $45 for each deduction of $130 or more.

Derrick will receive the following total from all of his deductions:

$25 * 1 (for the single deduction of less than $130) + $45 * 7 (for the seven deductions of $130 or over) = $25 + $315 = $340

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Area = 0.785

Area=0.79

I hope it helps

square: A=s^2

triangle: A=(1/2)bh

rectangle: A=lw

parallelogram: A=bh

Answer:

Drawing 4 - 1/10

Drawing odd number - 1/2

Not drawing 3- 9/10

Drawing 5 or 6 -  1/5

Drawing a number greater than 9 - 0

Let me know if this helps!

As per the perimeter the length of the shorter side is 10.5 feet and the length of the longer side is 73.5 feet.

The perimeter of a rectangle is the sum of the lengths of all its sides. If we know the perimeter of a rectangle and some information about the relationship between its sides, we can use that information to find the lengths of the sides.

Let's call the length of the shorter side "x".

The other side is seven times as long, so it is 7x.

The perimeter of the rectangle is 168 feet, so we have

=> 2x + 14x = 168.

Simplifying the equation, we have

=> 16x = 168.

Dividing both sides of the equation by 16, we find

=> x = 10.5.

So, the length of the shorter side is 10.5 feet and the length of the longer side is

=> 7x = 7 * 10.5 = 73.5 feet.

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The height of Liberty School  in ordinary form is 8850 m and of Festus school is 5890 m , the difference of the height values is 2960 m.

In the question ,

it is given that the height of the Liberty  school is 8.85 × 10³ m.

we have to convert this height in the ordinary form ,

8.85 × 10³ = (885/100) × 1000

= 885 × 10

= 8850 m

The height of the Festus school is 5.89 × 10³ m

in ordinary form it is

= 5.89 × 10³

= (589/100) × 1000

= 589 × 10

= 5890 m

The difference in the height of the school = height of liberty school - height of Festus school .

difference = 8850 - 5890

= 2960 m

Therefore , the height of liberty school is 8850 m and height of Festus school is 5890 m, the difference of the height values is 2960 m.

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Answer:

363/501

Step-by-step explanation:

363+138=501.........

Answer:

It's (-1,7)

Step-by-step explanation:

Just look at where the lines intersect!

Answer:

A

Step-by-step explanation:

Answer:

$840.77

Step-by-step explanation:

The statement that is true regarding the function f(x) = (x-4)(x + 1) is that the function is increasing for all real values of x where x < -1 and where x > 4. So, the option is: O The function is increasing for all real values of x where x < -1 and where x > 4.

Explanation: Given function is:f(x) = (x - 4) (x + 1). The graph of the given function is shown below: As it is visible from the graph, the function is decreasing for all real values of x where x lies between -1 and 4 (inclusive).

The turning point of the function is x = -0.5, which is the x-coordinate of the vertex of the parabola. Also, we see that the vertex is the minimum point of the parabola and the y-coordinate of the vertex is -4.25. This means that f(x) ≥ -4.25 for all x. The function is increasing for all real values of x where x < -1 and where x > 4.

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Answer:

square root of -25 would be 5 multiplied by the imaginary unit i.

If  −2 ≤ x ≤ 5 and a ≤ 4x + 1 ≤ b, then the inequality can be written as:

−7 ≤ 4x + 1 ≤ 21

What is expression ?

An expression in mathematics is a combination of numbers, variables, and mathematical operations, such as addition, subtraction, multiplication, and division, that represents a value or a quantity. Expressions can be simple or complex, and they can be written in various forms, such as using variables, exponents, radicals, logarithms, trigonometric functions, and more.

For example, 2x + 5 is an expression that contains a variable x and represents a value that depends on the value of x. Another example is √(a^2 + b^2), which is an expression that contains two variables a and b and represents the square root of the sum of their squares.

According to given condition :

We know that −2 ≤ x ≤ 5. Therefore, the smallest possible value of 4x is −8 (when x = −2) and the largest possible value of 4x is 20 (when x = 5). Adding 1 to both sides of the inequality, we get:

−8 + 1 ≤ 4x + 1 ≤ 20 + 1

−7 ≤ 4x + 1 ≤ 21

So, a = −7 and b = 21.

Therefore, if  −2 ≤ x ≤ 5 and a ≤ 4x + 1 ≤ b, then the inequality can be written as:

−7 ≤ 4x + 1 ≤ 21

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Answer:

12.7  ==> distance of RS

24.2 ==> distance of RT

Step-by-step explanation:

Distance is always positive. So if you get a negative value, take the absolute value of the negative number:

For example, between point R and S:

-17.2 - (-4.5) =

-17.2 + 4.5 =  ==> subtracting a negative number is equivalent to adding a

                           positive number

-(17.2 - 4.5) = -12.7

-12.7 ==> |-12.7| = 12.7  ==> distance of RS

For RT:

-17.2 - 7 =

-(17.2 + 7) = -24.2

-24.2 ==> |-24.2| = 24.2 ==> distance of RT

Answer:

The first box : -4  the second one : 6

Step-by-step explanation:

subtract 7 from 3 for the first box, then add 10 to -4 for the second one.

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.