Solve the equation for x. 2x + 22 = 4(x+3)

Answer:

6/9 miles

Step-by-step explanation:

Answer:

sin(100°) = 0.985

sin(-100°) = -0.985

Step-by-step explanation:

In a unit circle, each point (x, y) on the circumference corresponds to the coordinates (cos θ, sin θ), where θ represents the angle formed between the positive x-axis and the line segment connecting the origin to the point (x, y).

Therefore, sin(100°) equals the y-coordinate of the point (-0.174, 0.985), so:

\(\boxed{\sin(100^{\circ}) = 0.985}\)

Similarly, sin(-100°) equals the y-coordinate of the point (-0.174, -0.985), so:

\(\boxed{\sin(-100^{\circ}) = -0.985}\)

In the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

The value of the sine of the angles is calculated by applying the following formula as follows;

The value of sin (100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, 0.985) as given on the coordinates of the unit circle.

sin (100) = 0.985

The value of sin (-100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, -0.985), as given on the coordinates of the circle.

sin (-100) = -0.985

Thus, in the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

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Answer: \(\frac{4}{3}\)

Step-by-step explanation:

This is a multiplication problem. You are multiplying \(\frac{1}{3}\) by 4. This also means 4 divided by 3. They are both the same.

The percentile of 6.2 in the given dataset is 30%. This means that 30% of the values in the dataset are lower than or equal to 6.2.

To determine the percentile of 6.2 in the given dataset, we need to calculate the percentage of values in the dataset that are lower than or equal to 6.2.

First, we arrange the dataset in ascending order: 4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2.

Next, we count the number of values that are lower than or equal to 6.2. In this case, there are three values: 4.2, 4.6, and 5.1.

The next step is to calculate the percentage. We divide the count (3) by the total number of values in the dataset (10) and multiply by 100.

(3/10) * 100 = 0.3 * 100 = 30%

Percentiles are used to understand the relative position of a particular value within a dataset. In this case, 6.2 is higher than 30% of the values in the dataset and lower than the remaining 70%.

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Guided notes are intended to assist students in actively engaging with course material and enhancing their learning experience. It is recommended that you approach your teacher or instructor for any clarification or additional resources you may need to fully understand the content.

They are in the best position to provide you with the necessary guidance and support.

Instead of seeking shortcuts or unauthorized access to answers, it is more beneficial to invest time and effort in studying, asking questions, and actively participating in your educational journey.

This approach will not only help you grasp the subject matter more effectively but also promote personal growth and knowledge development.

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Answer:

\(Probability = \frac{845}{5832}\)

Step-by-step explanation:

Given

Two standard dice

Required

Probability that the outcome will be greater than 8 for the first time on the third roll

First, we need to list out the sample space of both dice

\(S_1 = \{1,2,3,4,5,6\}\)

\(S_2 = \{1,2,3,4,5,6\}\)

Next, is to list out the sample when outcome of both dice are added together\(S = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}\)

Next, is to get the probability that an outcome will be greater than 8

Represent this with P(E)

\(P(E) = \frac{Number\ of\ outcomes\ greater\ than\ 8}{Total}\)

\(P(E) = \frac{10}{36}\)

\(P(E) = \frac{5}{18}\)

Next, is to get the probability that an outcome will noy be greater than 8

Represent this with P(E')

\(P(E) + P(E') = 1\)

\(P(E') = 1 - P(E)\)

\(P(E') = 1 - \frac{5}{18}\)

\(P(E') = \frac{18 - 5}{18}\)

\(P(E') = \frac{13}{18}\)

Now, we can calculate the required probability;

Probability of a number greater than 8 first on the third attempt is:

Probability of outcome not greater than 8 on the first attempt * Probability of outcome not greater than 8 on the second attempt * Probability of outcome greater than 8 on the third attempt

Mathematically;

\(Probability = P(E') * P(E') * P(E)\)

Substitute values for P(E) and P(E')

\(Probability = \frac{13}{18} * \frac{13}{18} * \frac{5}{18}\)

\(Probability = \frac{13 * 13 * 5}{18 * 18 * 18}\)

\(Probability = \frac{845}{5832}\)

Answer:

Antigens that trigger hypersensitivity reactions in some people are called allergens.so i think answer B(only)

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

The maximum error in the volume of the cone is approximately 20π cubic centimeters.

In this problem we must estimate the maximum error in the volume of the cone, based on uncertainties in radius and height of a circular cone. The volume formula for a circular cone is:

V = (π / 3) · R² · h

Where:

And the maximum error formula (ΔV), in cubic centimeters, is found by total differentials:

ΔV = (dV / dR) · ΔR + (dV / dh) · Δh

Where:

All first derivatives are shown below:

dV / dR = (2π / 3) · R · h

dV / dh = (π / 3) · R²

If we know that R = 10 cm, h = 25 cm, ΔR = 0.1 cm and Δh = 0.1 cm, then the maximum error in volume of circular cylinder is:

dV / dR = (2π / 3) · (10 cm) · (25 cm)

dV / dR = 500π / 3 cm²

dV / dh = (π / 3) · (10 cm)²

dV / dh = 100π / 3 cm²

ΔV = (500π / 3 cm²) · (0.1 cm) + (100π / 3 cm²) · (0.1 cm)

ΔV = 20π cm³

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Answer:

9

Step-by-step explanation:

Length * Width = 43 * 36 = 1548 sq ft

1548 / 172 (sq ft per can of wood stain covered) = 9

Answer:

360

Step-by-step explanation:

You simply need to multiply 60 by 6 which is 60*6=360

Please give brainliest if I helped! :)

Answer:

10°C

Step-by-step explanation:

F = 50

C = 5/9 * (F - 32) = 5/9 * (50 - 32) = 5/9 * 18 = 5 * 2 = 10

Answer:

Step-by-step explanation:

The formula for calculating the distance between two points is:

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

Substituting the values from the points in the problem gives:

d

=

√

(

4

−

−

4

)

2

+

(

17

−

2

)

2

d

=

√

(

4

+

4

)

2

+

(

17

−

2

)

2

d

=

√

8

2

+

15

2

d

=

√

64

+

225

d

=

√

289

d

=

17

Answer:

The gradient of the graph below is \(\mathbf{\frac{3}{2} }\)

Step-by-step explanation:

We need to calculate the gradient of the graph

The gradient of graph is actually slope of the graph.

The slope of graph can be calculated using formula: \(Slope=\frac{y_2-y_1}{x_2-x_1}\)

Taking any 2 points on graph i.e

(1,0) and (-1,-3)

We have \(x_1=1, y_1=0, x_2=-1,y_2=-3\)

Putting values and finding gradient:

\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-3-0}{-1-1}\\Slope=\frac{-3}{-2}\\Slope=\frac{3}{2}\)

So, The gradient of the graph below is \(\mathbf{\frac{3}{2} }\)

Answer:

a. median is 8

b. first quartile is 7

c. third quartile is 9.5

d. below

e. below

Step-by-step explanation:

7, 10, 10, 6, 7, 8, 8, 7, 9.

Place number in order least to greatest

6, 7, 7, 7, 8, 8, 9, 10, 10

a. What is the median?

The median is the middle number in a data set

number of terms in data set (n) + 1 / 2 =

9 + 1 / 2 = 10 / 2

6, 7, 7, 7, 8, 8, 9, 10, 10

The median is 8

b. What is the first quartile?

Q1 is the central point between the smallest score and the median

6, 7, 7, 7

since there is even number of data points you find the average,

7 + 7 / 2 = 14 / 2 = 7

c. What is the third quartile?

Q3 is the central point between the median and the largest score

8, 9, 10, 10

since there is even number of data points you find the average,

9 + 10 / 2 = 19 / 2 = 9.5

d. Draw a box plot of the data.

below

e. Write two conclusions about the data shown in the box plot.

There are no outliers with a minimum of 6 and a maximum of 10. The Interquartile Range is 2.5 (9.5 - 7)

Answer:

250 berries

Step-by-step explanation:

berries : oranges

10              1

We have 25 oranges so we need to multiply each side by 25

berries : oranges

10*25          1*25

250               25

There are 250 berries

Answer: 5

Here are some ways:

Hope this helps!

There 720 ways are there to put 5 balls in 3 boxes.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.

Given:

Number of balls= 5

Number of boxes = 3

As, balls are not distinguishable but the boxes are then number of ways can be

= 3! 5! / C(5, 5)

= 3 x 2 x 5 x 4 x 3 x 2

= 720 ways

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( N c ∩ D ) ∪ ( N ∩ D c ) This set represents the people surveyed who subscribe to exactly one of the two news sources given.

Surveyed means to gather information or feedback from a specific group of people through interviews, questionnaires, or other methods of data collection. Surveying can be used to gain insights into opinions, attitudes, and behaviors of a certain population or group. Surveying helps to provide information on topics such as public opinion, market research, and customer needs.

It is a combination of two sets, the first being the set of people surveyed who do not subscribe to The Daily Informer but subscribe to News Magazine, and the second being the set of people surveyed who subscribe to The Daily Informer but not to News Magazine.

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Answer:

12/15

Step-by-step explanation:

12/1x1/15=12/15

Step-by-step explanation:

CLS

INPUT " ENTER HEIGHT";h

INPUT " ENTER BREADTH";b

AREA= h×b

PRINT " AREA OF TRIANGLE IS"; AREA

END

The sum of -4 + 3i and -2 - i implies that we plot -6 on the real side, and 2i on the imaginary side of the complex plane

The complex numbers are given as:

-4 + 3i and -2 - i

The sum of these numbers is represented as:

Sum = -4 + 3i -2 - i

Collect the like terms

Sum = -4  -2 + 3i - i

Evaluate the like terms

Sum = -6 + 2i

The above means that we plot -6 on the real side, and 2i on the imaginary side of the complex plane

See attachment for the graph of the sum

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Slope of line SP: -1

Slope of line FJ: -1

Point-Slope Form of Line FJ: \(y=-x-6\)

What to type inside the orange box? You must type "-x-6".

Concept. A parallel line to line SP. A parallel line is a line that has the same slope as another line, therefore, the line parallel to SP has the same slope of SP.

Let's solve!

1. Find the slope of line SP.

Line SP's expression is: \(y=-x-14\).

The slope of a linear function is always given by the coefficient of x when the equation is solved for y. Hence, the slope of line SP is -1, because x is being multiplied by -1.

2. Form the equation for line FJ.

Use the formula for finding linear equations: \(y-y_{1} =m(x-x_{1} )\), where m is the slope of the line, \(x_{1}\) is the x value of a point where the line passes, and \(y_{1}\) is the y value of a point where the line passes. \(x_1\) and \(y_1\) must be taken from a single point where the function passes.

Let's take the formula and find the equation for line FJ:

a. Substitute in the formula.

\(y-(0) =(-1)(x-(-6) )\)

b. Simplify.

\(y-(0) =(-1)(x-(-6) )\\ \\y=(-1)(x+6)\\ \\y=-x-6\)

3. Express your answers.

Slope of line SP: -1

Slope of line FJ: -1

Point-Slope Form of Line FJ: \(y=-x-6\)

Answer:

Median = $80,000 ; Mean = $84,000 ; Q1 = 67,000 ; Q3 = 106,000

Step-by-step explanation:

Given the data :

108 83 106 73 53 85 80 63 67 75 124 55 93 118 77

Reorderd data :

53, 55, 63, 67, 73, 75, 77, 80, 83, 85, 93, 106, 108, 118, 124

The median salary:

1/2(n+1)th term

Sample size, n = 15

1/2 (15 + 1)th term

1/2(16)th term

8th term = 80

Median is $80,000

Median reported by Wall Street Journal approximately $85000

The obtained and reported values are close

The mean annual salary :

ΣX / n = 1260 / 15 = 84

Mean annual salary = $84,000

Mean is the average of all earnings combined, median is the mid value of he data.

First and third quartile :

Q1 = 1/4(n+1)th term

Q1 = 1/4(16)th term

Q1 = 4th term = 67

Third quartile:.

Q3 = 3/4(n+1)th term

Q3 = 3/4(16)th term

Q3 = 12th term = 106

The surface area of the rectangular prism is 396 square inches

He will need 504 tlles

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

7 in by 12 in by 6 in

The surface area of the rectangular prism is calculated as

Area = 2 * (7 * 12 + 7 * 6 + 12 * 6)

Evaluate

Area = 396

Hence, the area is 396 square inches

The number of tiles is 7 * 12 * 6 = 504

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Question

wants to tile the surface of a rectangular storage case that is 7 inches​ long, 12 inches​ wide, and 6 inches tall. If he uses all green​ tiles, how many tiles will he​ need?

Need to convert ft to yard

so,

1 ft = (1/3) yard

so,

Answer:

I'm too stressed rn like be so foreal

Answer:

x < 2 O R x > 1 ⇔ ( − ∞ , ∞ )

Explanation:

x < 2 means x can take any value less than two and interval notation, this means ( − ∞ , 2 ) , meaning that all numbers between − ∞ and 1 are included and as − ∞ and 2 are not included we have use small brackets. This forms one set of numbers, say P . x > 1 means x can take any value greater than one and interval notation tis means ( 1 , ∞ ) , meaning that all numbers between 1 and ∞ are included, but not 13 and ∞ . This forms another set of numbers, say Q . Hence x < 2 O R x > 1 represents the union of two sets P and Q i.e P ∪ Q or in other words ( − ∞ , 2 ) ∪ ( 1 , ∞ ) . Observe that P ∪ Q includes all the numbers from − ∞ to ∞ and hence x < 2 O R x > 1 ⇔ ( − ∞ , ∞ )

Answer and Explanation: A perfect cube monomial is a monomial with a cube root that is a monomial. In other words, it is a monomial, A, such that there exists a monomial, B, where B × B × B = A.

Answer:

Find the cubic root of the first term ( numbers)

∛49 = 3.659

∛81 = 4.326

∛121 = 4.946

∛ 343 = 7

Because ∛343 is the only whole number answer ( no decimal places) the last answer is the correct one.

                                                                                                                       Step-by-step explanation:

If this is incorrect ill Try anther one...                                        

D the awesome

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