Point A is located at 11 on the number line. Point B is 5 less than Point A, where on the number line is Point B

Answer:

You will add!

Step-by-step explanation:

Words words words

Answer:

9/5 feet if they want an improper fraction

Step-by-step explanation:

p = 2l + 2w

2(7/10) = 14/10

rewrite 1/5 as 2/10

2(2/10) = 4/10

14/10 + 4/10 = 18/10 feet or simplified to 9/5 feet if they want an improper fraction

Answer:

Option B.)

\( - {2x}^{8} {y}^{18} \)

The equivalent expression of 2(x² – 1) + 3x(x – 4) is 5x² - 12x - 2

Here, we have,

We know that,

The equivalent expression of the expression can be found as follows;

2(x² – 1) + 3x(x – 4)

open the brackets

2x² - 2 + 3x² - 12x

Therefore, let's combine like terms

2x² + 3x² - 12x - 2

Let's do the arithmetic for like terms

2x² + 3x² - 12x - 2

5x² - 12x - 2

Therefore, the equivalent expression of  2(x² – 1) + 3x(x – 4) is

5x² - 12x - 2.

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Answer:

The result is different

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

\((-1,4)=(x_1 ,y_1)\\\\y=-6x +3\\\\m = -6\)

Substitute values into point-slope form

\(y-y_1=m(x-x_1)\\\\\\y -4=-6(x -(-1))\\\\y-4=-6(x+1)\\\\y-4 =-6x -6\\\\y =-6x-6+4\\\\y =-6x -2\)

1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year

Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year

Gross Yearly Income = $31,200

2)Gross Monthly Income = Gross Yearly Income / Months in a Year

Gross Monthly Income = $31,200 / 12 months

Gross Monthly Income ≈ $2,600

Each force in Cartesian vector form and determine the magnitude and coordinate direction angles of the resultant force would be in 32.54 degrees.

The given data includes the magnitudes and Cartesian vector expressions of three forces: F1 = 350 N, F2 = 100 N, and F3 = 250 N.

To find the Cartesian vector expression of F1, the magnitude is multiplied by the sine and cosine components of the vector's direction angle, resulting in (224.97j + 268.11k) N.

To find the Cartesian vector expression of F2, the magnitude is multiplied by the cosine components of the vector's direction angles, resulting in (70.7i + 50j - 50k) N.

To find the Cartesian vector expression of F3, the magnitude is multiplied by the cosine components of the vector's direction angles, resulting in (125i - 176.77j + 125k) N.

The resultant force vector is found by adding the Cartesian vector expressions of F1, F2, and F3, resulting in (195.7i + 98.2j + 343.11k) N.

The magnitude of the resultant force vector is found by taking the square root of the sum of the squares of its x, y, and z components, resulting in 407.02 N.

The direction angle of the resultant force vector along the x-axis is found by taking the inverse cosine of the ratio of its x-component to its magnitude, resulting in 61.26 degrees.

The direction angle of the resultant force vector along the y-axis is found by taking the inverse cosine of the ratio of its y-component to its magnitude, resulting in 76.04 degrees.

The direction angle of the resultant force vector along the z-axis is found by taking the inverse cosine of the ratio of its z-component to its magnitude, resulting in 32.54 degrees.

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The question is -

The cables attached to the screw eye are subjected to the three forces shown. Express each form in a Cartesian vector and determine the magnitude and coordinate direction angles of the resultant force

Answer:

x = -53/8

Step-by-step explanation:

6(2x + 7) = 5x - 11 - x

12x + 42 = 5x -11 - x (Distributive property)

12x + 42 = 4x - 11 (Subtraction property)

8x + 42 = -11 (Subtraction Property)

8x = -53 (Subtraction Property)

x = -53/8

Answer:

x = -53/8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

6(2x + 7) = 5x - 11 - x

Step 2: Solve for x

pick one point at the shaded area like (-1,0) and check which system of inequalities is true

For the first option 0 > 1 is not true

The first option is wrong

for the second option:

0 <= 1

y - x = 0 - (-1) = 1 > 0

the second option is true

the third option

0 <= 1

y - x = 0 - (-1) = 1 < 0 this is not true

the third opt

Answer:

Okawa's favorite food is milk bread! His personal Motto is.....

The answer is D. |-9| > |8|

Answer:

Step-by-step explanation:

Consider that the absolute value is always positive. Then it is easy to compare.

A.

B.

C.

D.

29 years from now, the father will be 49 years old.

Let's start by setting up the given information:

Currently, the father is 20 years old, and the son is 5 years old.

In 10 years, the father will be twice as old as the son.

The father is currently four times as old as the son.

Determine the age of the father and son in 10 years:

In 10 years, the father's age will be 20 + 10 = 30 years.

In 10 years, the son's age will be 5 + 10 = 15 years.

Write equations based on the given information:

The father's age in 10 years will be twice the son's age in 10 years: 30 = 2 × 15.

The father's current age is four times the son's current age: 20 = 4 × 5.

Solve the equations:

From the second equation, we find that the son's current age is 5 years.

Plugging this value into the first equation, we get: 30 = 2 × (5 + 10).

Simplifying further, we have: 30 = 2 × 15, which is true.

Determine the current age of the son in 29 years:

The son's current age is 5 years.

Adding 29 years to the son's current age, we find that the son will be 5 + 29 = 34 years old.

Determine the current age of the father in 29 years:

The father's current age is 20 years.

Adding 29 years to the father's current age, we find that the father will be 20 + 29 = 49 years old.

Therefore, 29 years from now, the father will be 49 years old.

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Step-by-Step Explanation:

n = 45

Therefore, 2 + 4(n - 1)

Putting n = 45, we have

2 + 4(45 - 1)

= 2 + 4 × 44

= 2 + 176

= 178

Answer:

B) 178

Hope it helps.

If you have any query, feel free to ask.

The five number summary of the data-set in the histogram is given as follows:

Before obtaining the five number summary, we need to know the meaning of the histogram, which shows the absolute frequencies of each range, that is, the number of observations in each range that were observed.

As the observations are given in intervals, the mid-point rule is used, that is, for each interval, all the observations are considered to be the mid-point of the interval.

Considering the mid-point rule and the intervals, all the observations on the histogram are given as follows:

1.5, 3.5, 4.5, 4.5, 4.5, 4.5, 5.5, 6.5, 6.5, 7.5, 8.5, 8.5, 8.5 and 10.5.

The minimum and maximum values are quite straightforward to find, which are of 1.5 and 10.5, respectively.

The median is composed by the mean of the two middle values of the data-set, due to it's even cardinality, hence:

Median = (5.5 + 6.5)/2 = 6.

The halves of the data-set are given as follows:

Then the first quartile is the median of the first half, obtained as follows:

Q1 = (4.5 + 4.5)/2 = 4.5.

(mean of the two middle elements due to the even cardinality).

The third quartile is the median of the second half, obtained as follows:

Q3 = (8.5 + 8.5)/2 = 8.5.

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In the slope-intercept form y = mx+b, m is the slope and b is the y-intercept.

We need to write in that form the following equation:

To do so, we can apply the same operations on both sides of the equation until we isolate the variable y on the left side.

We obtain:

Thus, the slope is 2 and the y-intercept is -5.

Therefore, the answer is:

y = 2x - 5 slope: 2 y-intercept: -5

Step-by-step explanation:

This is an equation, where we need to find the value of x.

To solve this equation, we can first use the distributive property to expand 3.4(x + 7) which gives 3.4x + 3.4 * 7 = 3.4x + 23.8

Now we have the equation:

3.4x + 23.8 - 2.1 = 35.5

Next, we can add 2.1 to both sides of the equation:

3.4x + 23.8 = 37.6

Then, we can subtract 23.8 from both sides of the equation:

3.4x = 13.8

Finally, we can divide both sides of the equation by 3.4 to find the value of x:

x = 4

Therefore, the value of x that solves the equation is 4.

With the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects.

Circles that overlap share certain characteristics, whereas circles that do not overlap do not.

Venn diagrams are useful for showing how two concepts are related and different visually.

When two or more objects have overlapping attributes, a Venn diagram offers a simple way to illustrate the relationships between them.

Venn diagrams are frequently used in reports and presentations because they make it simpler to visualize data.

So, we need to find:

A ∪ B

Now, calculate as follows:

The collection of all objects found in either the Blue or Green circles, or both, is known as A B. Its components number is:

8 + 7 + 14 + 6 + 1 + 8 = 44

n(A∪B) = 44

Therefore, with the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

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Answer:

$113.1

Step-by-step explanation:

: you add the 30% + the 87 bucks. Hope it helps friend! Please mark the brainliest. A.

Step-by-step explanation:

The equation of the given line is 3x - 4y = 1

A line parallel to the given line will have slope that is the same as this one.

The equation of a straight line is expressed as;

           y  = mx + c

y and x are the coordinates

   m is the slope

    c is the y-intercept

  Now, we write the given line in the slope - intercept form;

       3x - 4y  = 1

            -4y  = -3x + 1

  Divide through by -4

       \(\frac{-4y}{-4}\)   = \(\frac{-3x}{-4}\)  + \(\frac{1}{-4}\)  

          y  = \(\frac{3}{4} x\) - \(\frac{1}{4}\)  

The slope of this line is \(\frac{3}{4}\)  

Any line with the slope  \(\frac{3}{4}\)  will be parallel to the given line.

The tangent of 62 degree is 24/7 because tan is the ratio of side opposite to the angle to side adjacent to the angle option (A) is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a right angle triangle shown in the picture with side length.

As we know the tan is the ratio of side opposite to the angle to side adjacent to the angle.

tan62 = 24/7

Thus, the tangent of 62 degree is 24/7 because tan is the ratio of side opposite to the angle to side adjacent to the angle option (A) is correct.

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The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.

To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).

In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.

Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:

2n = 60

Solving this equation, we find:

n = 60/2 = 30

Thus, the value of n is 30.

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Expanding the desired form, we have

\(A \sin(\omega t + \phi) = A \bigg(\sin(\omega t) \cos(\phi) + \cos(\omega t) \sin(\phi)\bigg)\)

and matching it up with the given expression, we see that

\(\begin{cases} A \sin(\omega t) \cos(\phi) = 2 \sin(4\pi t) \\ A \cos(\omega t) \sin(\phi) = 5 \cos(4\pi t) \end{cases}\)

A natural choice for one of the symbols is \(\omega = 4\pi\). Then

\(\begin{cases} A \cos(\phi) = 2 \\ A \sin(\phi) = 5 \end{cases}\)

Use the Pythagorean identity to eliminate \(\phi\).

\((A\cos(\phi))^2 + (A\sin(\phi))^2 = A^2 \cos^2(\phi) + A^2 \sin^2(\phi) = A^2 (\cos^2(\phi) + \sin^2(\phi)) = A^2\)

so that

\(A^2 = 2^2 + 5^2 = 29 \implies A = \pm\sqrt{29}\)

Use the definition of tangent to eliminate \(A\).

\(\tan(\phi) = \dfrac{\sin(\phi)}{\cos(\phi)} = \dfrac{A\sin(\phi)}{\cos(\phi)}\)

so that

\(\tan(\phi) = \dfrac52 \implies \phi = \tan^{-1}\left(\dfrac52\right)\)

We end up with

\(y(t) = 2 \sin(4\pi t) + 5 \cos(4\pi t) = \boxed{\pm\sqrt{29} \sin\left(4\pi t + \tan^{-1}\left(\dfrac52\right)\right)}\)

where

• amplitude:

\(|A| = \boxed{\sqrt{29}}\)

• angular frequency:

\(\boxed{4\pi}\)

• phase shift:

\(4\pi t + \tan^{-1}\left(\dfrac 52\right) = 4\pi \left(t + \boxed{\frac1{4\pi} \tan^{-1}\left(\frac52\right)}\,\right)\)

a) The algebraic fraction \(\frac{{x + 2}}{{(x - 1)^2}}\) is proper. b) The algebraic fraction \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\) can be expressed as \(-\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

Let's solve each part step by step and determine whether the fraction is proper or improper, and then express it accordingly.

a) \(\frac{{x + 2}}{{(x - 1)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 1 (linear term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is less than the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

\(\frac{{x + 2}}{{(x - 1)^2}} = \frac{A}{{x - 1}} + \frac{B}{{(x - 1)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 1)^2)\) to eliminate the denominators:

  (x + 2) = A(x - 1) + B.

Expand the equation and collect like terms:

  x + 2 = Ax - A + B.

Equate the coefficients of like terms:

  Coefficient of x: 1 = A.

  Constant term: 2 = -A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = 1.

Substituting A = 1 into the constant term equation: 2 = -1 + B, we find B = 3.

Therefore, the partial fraction decomposition is:

  \(\frac{{x + 2}}{{(x - 1)^2}} = \frac{1}{{x - 1}} + \frac{3}{{(x - 1)^2}}\).

b) \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 2 (quadratic term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is equal to the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = \frac{A}{{x - 4}} + \frac{B}{{(x - 4)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 4)^2)\) to eliminate the denominators:

  (4x^2 - 31x + 59) = A(x - 4) + B.

Expand the equation and collect like terms:

  4x^2 - 31x + 59 = Ax - 4A + B.

Equate the coefficients of like terms:

Coefficient of \(x^2\): 4 = 0 (No \(x^2\) term on the right side).

Coefficient of x: -31 = A.

Constant term: 59 = -4A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = -31.

Substituting A = -31 into the constant term equation: 59 = 4(31) + B, we find B = -25.

Therefore, the partial fraction decomposition is:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = -\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

The above steps provide the solution for each part, including determining if the fraction is proper or improper and expressing it in partial fractions.

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Answer:

It add up by 6.

Step-by-step explanation:

6 plus 6 is 12 plus another is 18 and it keeps going.

Answer:

time x 6 = your distance

Step-by-step explanation:

Time x 6 = distance

EXample:

2 x 6 = 12

Hope this helps!

Answer:

$232,241.07

Step-by-step explanation:

To calculate the total amount in the account after 30 years of depositing $3,000 each year and earning 6% interest compounded annually, we can use the formula for the future value of an annuity:

FV = P * (((1 + r)^n - 1) / r)

where:

FV is the future value of the annuity

P is the periodic payment (in this case, $3,000 per year)

r is the interest rate per compounding period (in this case, 6% per year, compounded annually)

n is the number of compounding periods (in this case, 30 years)

Substituting the given values, we get:

FV = $3,000 * (((1 + 0.06)^30 - 1) / 0.06)

Using a calculator, we get:

FV ≈ $232,241.07

Therefore, the total amount in the account after 30 years, rounded to the nearest cent, is $232,241.07.

Answer:

271.1   32.3907   -4.02      10.577907  2330.958

Step-by-step explanation:

Answer:

Monthly revenue = R(x) = (11,200 - 400x) * (7 + x)

Step-by-step explanation:

Monthly revenue = Number of members * Monthly fee ......... (1)

Where;

Number of members = 11,200

Monthly fee = $7

For each $1 monthly increase in membership fee, we have

For 1 month, one dollar the decrease = 400 * 1 = 400

For 2 months, 2 dollar increase will lead to decrease of 400* 2 = 800 members

Therefore, for x months

Innrease in membeship fee or price increase = 7 + x

Decrease in the numbers of members = 400x

Substitute the values into equation (1), we have:

Monthly revenue = R(x) = (11,200 - 400x) * (7 + x)

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Answer:

Step-by-step explanation:

Divide the numbers and write what you got in distributive property

Answer:

x>1

x>2

range of f

Step-by-step explanation:

Answer:

see pic attached

Step-by-step explanation:

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