Brandon wants to ride his bicycle 21 miles this week. He has already ridden 6 miles. If he rides for 5 more days, write and solve an equation which can be used to determine xx, the average number of miles he would have to ride each day to meet his goal.

Equation: 5x+6=21

Solve: 5x+6=21
-6= -6
5x=15
5x/5 = 15/5
x =3
Answer: x = 3

Answer:

arrow to the right no filled in dot

Step-by-step explanation:

the (>) shows you which direction the thing is going

in this situation you just have to simplify the problem

4x+2=10

-2. -2

4x=8

x=2

x>2

Answer:

You would put it on 10 and use the arrow pointing the right with a open dot. (The dot should not be filled in and looks like a bubble.)

Step-by-step explanation:

The function f has a relative maximum at x = -√[(2 + sqrt(2))/5], so the answer is (b) - root 5/5.

To find the relative maximum of a function, we need to find the critical points of the function, where the derivative of the function is zero or undefined.

Let's start by finding the derivative of f(x)

f'(x) = 15x⁴ - 12x² - 3

Now, we can find the critical points by solving the equation f'(x) = 0

15x⁴ - 12x² - 3 = 0

We can factor this equation by substituting y = x²

15y² - 12y - 3 = 0

Solving for y, we get

y = (2 ± √(2))/5

Substituting back x² for y, we get

x² = (2 ± √(2))/5

Taking the square root of both sides, we get

x = ± √[(2 ± √(2))/5]

Therefore, the critical points are

x = -√[(2 + √(2))/5], √[(2 - √(2))/5]

Now, we need to determine whether these critical points are relative maximum or minimum.

We can use the second derivative test to determine the nature of the critical points. The second derivative of f(x) is

f''(x) = 60x³ - 24x

Plugging in the critical points, we get

f''(-√[(2 + √(2))/5]) = -48√(2) < 0 (relative maximum)

f''(√[(2 - √(2))/5]) = 48√(2) > 0 (relative minimum)

Therefore, the relative maximum of the function f(x) is at

x = -√[(2 + √(2))/5]

So, the correct answer is (b) - root 5/5.

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Answer:transversive property

Step-by-step explanation:

Answer: rational

Step-by-step explanation:

16/5=

(160/5)/10=

32/10=3.2 ==> rational since it has a finite number of digits before and after the decimal.

Answer:

The total number of students that voted is 25.

Step-by-step explanation:

18 students = 72% of the students who voted

Divide the percentage of students by 100.

72% ÷ 100 = 0.72%

Then, divide 18 by 0.72%.

18 ÷ 0.72% = 25

So, the total number of students that voted is 25 students.

Hope this helped !

Answer:

\(\displaystyle m = \frac{-7}{25}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Slope Formula: \(\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}\)

Step-by-step explanation:

Step 1: Define

Identify.

Point (-8, 11)

Point (17, 4)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

\(\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}\)

We've been asked to find slope of the following coordinates which are (-8,11) and (17,4).

The standard formula to calculate slope is given by,

Step-by-step explanation:

Factor, in mathmatechis, a number or algebric expression that divides another number or expression evenly.

For example, 3 and 6 are factors of 12 because 12 divided by 3 equals 4 exactly and 12 divided by 6 equals 2 exactly. The other factors of 12 are 1, 2, 4, and 12.

ABD = CBD (Corresponding parts of congruent angles are congruent)

Therefore, we have proven that ABD = CBD.

To prove that ABD = CBD, we can use the property that if a line bisects an angle, it divides the angle into two congruent angles. Here's a step-by-step proof:

Given: BD bisects ∠ABC, and BDA = BDC

Proof:

BD bisects ∠ABC (Given)

BDA = BDC (Given)

∠BDA = ∠BDC (Corresponding angles are congruent)

∠BDA + ∠ABD = ∠BDC + ∠CBD (Adding ∠ABD and ∠CBD to both sides of the equation)

∠ABD + ∠BDA = ∠CBD + ∠BDC (Rearranging the terms)

∠ABD = ∠CBD (Subtracting ∠BDA from both sides of the equation)

ABD = CBD (Corresponding parts of congruent angles are congruent)

Therefore, we have proven that ABD = CBD.

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Answer:

(2 , 4) this is the answer off your question

Answer:

B.

Step-by-step explanation:

Irrational means it can't be written as a fraction.

Answer:

→ please refer to the above attachment ←

Answer:

-3/(b-6) = 3/(-b+6) = 3/(6-b)

Step-by-step explanation:

7/(b-6) + 10/(6-b)

= 7/(b-6) + 10/(-b+6)

= 7-10/(b-6)

= -3/(b-6) = 3/(-b+6) = 3/(6-b)

\( {\qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's solve ~

\(\qquad \sf  \dashrightarrow \: \cfrac{7}{b - 6} + \cfrac{10}{6 - b} \)

\(\qquad \sf  \dashrightarrow \: \cfrac{7}{b - 6} + \cfrac{10}{ - (b - 6)} \)

\(\qquad \sf  \dashrightarrow \: \cfrac{7}{b - 6} - \cfrac{10}{ b - 6} \)

\(\qquad \sf  \dashrightarrow \: \cfrac{ - 3}{ b - 6}\:\:\: or \:\:\: \dfrac{3}{6-b} \)

The blueprint's triangular room has sides of 8 cm, 10 cm, and 12 cm. With a scale factor of 12 cm = 1 meter, the actual perimeter of the room is 2.5 meters.



Since the blueprint uses a scale factor of 12 centimeters = 1 meter, we can convert the measurements on the blueprint to actual measurements by multiplying them by the scale factor. Let's assume that the sides of the triangular room on the blueprint are represented by A, B, and C, respectively.

If the length of side A on the blueprint is 8 centimeters, the actual length would be 8 cm * (1 meter / 12 cm) = 2/3 meters. Similarly, the actual lengths of sides B and C would be 10 cm * (1 meter / 12 cm) = 5/6 meters and 12 cm * (1 meter / 12 cm) = 1 meter, respectively.

To find the actual perimeter of the triangular room, we sum up the lengths of all three sides: (2/3 + 5/6 + 1) meters = (4 + 5 + 6) / 6 meters = 15/6 meters = 2.5 meters.

Therefore, the actual perimeter of the triangular room is 2.5 meters.

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Answer:

The measure of 4 is 79 degrees.

Step-by-step explanation:

Since 3 and 4 are on the same straight line, their angles together form 180 degrees. To solve this, you would subtract 101 from 180 to get 79.

Hope this helps!

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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Answer:

15000 a year

Step-by-step explanation:

35000x0.15 = 15000

The system has a single solution and the solution set is (4,-7.5).

To use the elimination method, we need to eliminate one of the variables from the equations. We can see that if we multiply the first equation by -2, we can eliminate y:

-8x + 12 = 12y

5x + 4y = -10

Adding these two equations together eliminates y:

-3x + 12 = 0

Solving for x gives us:

x = 4

Now we can substitute this value of x back into either of the original equations to solve for y. Using the second equation:

5(4) + 4y = -10

20 + 4y = -10

4y = -30

y = -7.5

So the solution to the system is (4,-7.5).

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Answer:

Loss of $.35

Step-by-step explanation:

Income per t-shirt = 1302/120 = 10.85

Expense per t-shirt = 1344/120 = 11.20

Loss per t-shirt = 11.20 - 10.85 = .35

Answer:

x = -4

Step-by-step explanation:

\(3=\frac{4x+31}{5}\)

\(15=4x+31\)

\(-16=4x\)

\(x=\frac{-16}{4}\)

\(x=-4\)

Answer:

x = -4

Step-by-step explanation:

3 = (4x + 31) / 5

5 x 3 = 5(4x + 31)

15 = 4x + 31

15 - 31 = 4x + (31 - 31)

-16 = 4x

-16/4 = 4x/4

x = -4

The present data set includes data from the years 2010-2012. The dimensions of the data frame are 624 rows and 8 columns. The variable or column names are "year", "month", "day", "date", "dow", "time", "size", and "price".

To find the years included in the data set, we can use the unique() function on the "year" column:

```R
unique(present$year)
```

This will return the unique values in the "year" column, which are 2010, 2011, and 2012.

To find the dimensions of the data frame, we can use the dim() function:

```R
dim(present)
```

This will return the number of rows and columns in the data frame, which are 624 and 8, respectively.

To find the variable or column names, we can use the names() function:

```R
names(present)
```

This will return the names of the columns in the data frame, which are "year", "month", "day", "date", "dow", "time", "size", and "price".

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As per the standard deviation, the average number of hours per week spent studying for students at her college is less than 17 hours per week.

The term standard deviation is defined as the statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Here we have given that one faculty member in statistics believed the average number of hours/week spent studying stat 200 was 4, but most other faculty members think it is less than 4. the faculty want to see if the average is less than 4. (the sample average was 3.7 hours/week with a sample standard deviation of 1.8 hours/week) and we need to find analysis should they use.

While we reading the question, we know that

Sample average = 3.7

Standard deviation = 1.8

Then the null and alternative hypothesis is written as,

p-value = P(z ≤ 29.07) = 1.0000

Rejection Rule is Reject H0 if p-value < a

p-value 1.0000 > a = 0.05

Therefore,  the conclusion said that here we do Not Reject H0

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The equation Q = -L³ + 15 represents the production function of Plainfield Electronics, where Q is the quantity of industrial control panels produced and L is the level of labor input.

In this production function, the term -L³ indicates that there is diminishing returns to labor. As the level of labor input increases, the additional output produced decreases at an increasing rate. The term 15 represents the level of output that would be produced with zero labor input, indicating that there is some fixed component of output. To maximize production, the firm would need to determine the optimal level of labor input that maximizes the quantity of industrial control panels produced. This can be done by taking the derivative of the production function with respect to labor (dQ/dL) and setting it equal to zero to find the critical points. dQ/dL = -3L². Setting -3L² = 0, we find that L = 0.

Therefore, the critical point occurs at L = 0, which means that the firm would need to employ no labor to maximize production according to this production function. However, this result seems unlikely and may not be practically feasible. It's important to note that this analysis is based solely on the provided production function equation and assumes that there are no other factors or constraints affecting the production process. In practice, other factors such as capital, technology, and input availability would also play a significant role in determining the optimal level of production.

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Answer:

D

Step-by-step explanation:

Answer:

Yes the answer is D it depends on the y-axis and x-axis

Answer: $689.04

Step-by-step explanation:

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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The Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

To investigate whether the span of a person's dominant hand is greater than that of their non-dominant hand, the most appropriate statistical technique would be the Paired samples t-test.

The Paired samples t-test is used when comparing the means of two related groups or conditions. In this case, the dominant and non-dominant hands are related because they belong to the same individuals in the study. By comparing the means of the dominant and non-dominant hand spans, we can determine if there is a significant difference between the two.

The other options listed, ANOVA (Analysis of Variance), Independent samples t-test, Wilcoxon's matched-pairs signed rank test, and Mann-Whitney U test, are not suitable for this scenario because they are designed for different types of comparisons:

- ANOVA is used when comparing the means of three or more independent groups, which is not the case here.

- Independent samples t-test is used when comparing the means of two independent groups, which is not the case here as the measurements are paired.

- Wilcoxon's matched-pairs signed rank test and Mann-Whitney U test are non-parametric tests that are used when the data do not meet the assumptions of parametric tests. However, in this case, we have paired measurements, and the paired samples t-test is the appropriate parametric test.

Therefore, the Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

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Answer:

its 23

Step-by-step explanation:

23-19 is 4

4 squared is 2

Answer:

There's 3 answers: the third, fourth, and the sixth one. 1  2  3

                                                                                           4  5  6

Step-by-step explanation:

The expression in the question gets simplified to p-6, and so does the third one, fourth one is just itself, and the sixth one also simplifies to p-6.