2(4w-1)=-10(w-3)+4 solve the question

Answer:

Minimum 1/4 Hour Maximum 1/2 Hour

Speed is the ratio of distance and time.

The maximum number of hours the boat will cruise is 1/2 hours.

The minimum number of hours the boat will cruise is 1/4 hour.

Speed is the ratio of distance and time.

It tells us how fast a body is moving.

We have,

Boat speed = 24 miles per hour.

Speed = distance / time

Distance = 9 miles

Time = distance / speed

Minimum number of hours:

Distance = 9 - 3 = 6 miles

Time = Distance / Speed = 6 / 24 = 1/4 hours

Maximum number of hours:

Distance = 9 + 3

Time = Distance / Speed = 12 / 24 = 1 / 2 hours

Thus,

The maximum number of hours the boat will cruise is 1/2 hours.

The minimum number of hours the boat will cruise is 1/4 hour.

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The length of the garden will be - L = 3x - 8.

We have a rectangular garden.

We have to determine its length.

The area of rectangle is -

A = L x B

According to the question -

Area = [tex]24x^{2} -64x[/tex]

Width = [tex]8x[/tex]

Therefore -

Area = Length x Width

Length = Area / width

Length = [tex]$\frac{24x^{2} -64x}{8x} = 3x -8[/tex]

Hence, the length of the garden will be - L = 3x - 8.

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Answer: 3720087

Step-by-step explanation:

n=term number

an=term value

terms: 7, 21, 63...

term number: 1, 2, 3, ...

7 is 1st term. 21 is 2nd term. 63 is 3rd term.

21/7=3

63/21=3

Common change in each term is multiplication by 3

Hence, the formula can be expressed in exponents.

an=3^(n-1) * 7 where n is the term number, an is the term value, and 7 is the 1st term in the sequence.

an=3^(13-1) * 7

an=3^12 * 7

an=531441 * 7

an=3720087

7 - 0 = 7/5(0 - (-5)) is the equation in slope intercept form for the line passes through points (-5,0) and (0,7).

A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane allows one to anticipate whether a line is parallel, perpendicular, or not.

The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. Δy is the net change in the y coordinate, while Δx is the net change in the x coordinate.  

Therefore,

m =  y₂-y₁/x₂-x₁ (where m denotes the slope) can be used to express how the y coordinate changes in relation to the x coordinate.

Be aware that tan ∅ = y/x

We also refer to this tan as the line's slope.

We have been asked  to write an equation of the line in point-slope form

of a  line which passes through (-5,0) and (0,7)

We know that  point-slope form = y₂ - y₁ = m(x₂ - x₁)

But first we will find slope(m)

We know that slope = m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

For the pairs of points (-5,0) and (0,7)

⇒ m = [tex]\frac{7- 0}{0 - (-5)}[/tex]

⇒ m = [tex]\frac{7}{5}[/tex]

⇒ m = 7/5

After we substitute the given information we get

7 - 0 = 7/5(0 - (-5))

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Answer:

1/4 or 25% or 0.25

Step-by-step explanation:

The number of ways that a book can be chosen from all the books can be determined by using combination.

Combination is a method of choosing items from a set in a way that order of selection does not matter. It refers to the combination of n items taken k at a time without repetition. From example, selection of food, menu, subjects, etc.

A combination is the selection of r items from a set of n items without replacement and where order is unimportant.

nCr=n!/r!(n-r)!

Where n! = 1*2*3*….*n

In the given situation, r = 1(number of books to be chosen) and n=10(total number of books)

10C1=10!/1!(10-1)!

10C1=10!/1!(9)!

10C1=(10*9!)/1!(9)!

10C1=10

The number of ways to choose a book from the ten books is 10.

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The 20 randomly generated pairs for the numbers 1 to 6 is (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,2), (2,3), (2,4), (2,5), (2,6), (3,3), (3,4), (3,5), (3,6), (4,4), (4,5), (4,6), (5,5), (5,6) and  the sum of each pair is 2, 3, 4, 5, 6, 7, 4, 5, 6, 7, 8, 6, 7, 8, 9, 8, 9, 10, 10, 11.

Sum of the number:

When we add two or more numbers, the result or the answer we get can be defined as the SUM. The numbers that are added are called addends.

For example if we add the numbers 2 and 7 then we get the um as 9.

Given,

Here we need to generate the 20 pairs of integers between 1 and 6 . And also we have to record the sum of each pair.

The 20 pairs by using the number 1 to 6 are,

Listed as,

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,2), (2,3), (2,4), (2,5), (2,6), (3,3), (3,4), (3,5), (3,6), (4,4), (4,5), (4,6), (5,5), (5,6).

Now the sum of these 20 pairs are,

(1,1) = 1 + 1  = 2

(1,2) = 1 + 2 = 3

(1,3) = 1 + 3 = 4

(1,4) = 1 + 4 = 5

(1,5) = 1 + 5 = 6

(1,6) = 1 + 6 = 7

(2,2) = 2 + 2 = 4

(2,3) = 2 + 3 = 5

(2,4) = 2 + 4 = 6

(2,5) = 2 + 5 = 7

(2,6) = 2 + 6 = 8

(3,3) = 3 + 3 = 6

(3,4) = 3 + 4 = 7

(3,5) = 3 + 5 = 8

(3,6) = 3 + 6 = 9

(4,4) = 4 + 4 = 8

(4,5) = 4 + 5 = 9

(4,6) = 4 + 6 = 10

(5,5) = 5 + 5 = 10

(5,6) = 5 + 6 = 11

Therefore, the sum of each pair is 2, 3, 4, 5, 6, 7, 4, 5, 6, 7, 8, 6, 7, 8, 9, 8, 9, 10, 10, 11.

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If an infinite geometric series is a convergent series then it must have a sum.

What is a convergent series?

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Considering the definition of an equation and the way to solve it, each cupcake cost $0.85.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The solution of a equation means determining the value that satisfies it and the equality is true. To solve an equation, keep in mind:

Being "x" thecost of the cupcake, and knowing that:

the equation in this case is:

Amount spent by Michele= Amount spent by Myka

12.75 + 9x= 24x

Solving:

12.75= 24x - 9x

12.75= 15x

12.75÷ 15= x

0.85=x

Finally, each cupcake cost $0.85.

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Answer:

Her age is 15.

Step-by-step explanation:

13 + 14 + 15 = 42

Julia is the oldest and 15 is the greatest of the 3 numbers

therefore Julia is 15

The function's domain and range as represented either by set of ordered pairs:

Domain = (-13 , -7 , 5 , 11)

Range = (9 , -5 , 14 , 11)

Range and domain The domain of something like a function is the set of values that can be plugged into it. This set contains the x values in a function like f. (x). A function's range is the collection of values  that the function can take. This is the set of values that the function returns after we enter an x value.

The set of ordered pairs = {(-13, 9), (-7,-5), (5, 14), (11,-10)}.

(x,y)

x=input

y=output

As a result, the domain consists only of the first numbers.

range refers to all of the second numbers.

x=domain

y=range

So,

Domain = (-13 , -7 , 5 , 11)

Range = (9 , -5 , 14 , 11)

The function's domain and range as represented either by set of ordered pairs:

Domain = (-13 , -7 , 5 , 11)

Range = (9 , -5 , 14 , 11)

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Answer:

7. ) 3 3/4   9.) 3 1/8  11.) 7/16  13.) 5 13/15  15.) 7 1/2

Step-by-step explanation:

Number 7, first make 4 1/6 into an improper fraction.

6x4+1= 25/6

25/6x9/10

225/60

Simplified- 3 3/4

Number 9, make 4 3/8 into an improper fraction.

4x8+3= 35/8

35/8x5/7

175/56

Simplified- 3 1/8

Number 11, make 2 5/8 into an improper fraction.

2x8+5= 21/8

21/8x1/6

21/48

Simplified- 7/16

Number 13, make 1 3/5 and 3 2/3 into an improper fraction.

1x5+3= 8/5,   3x3+2=11/3

8/5x11/3

88/15

Simplified- 5 13/15

Number 15, make 3 1/3 and 2 1/4 into an improper fraction.

3x3+1= 10/3,   2x4+1=9/4

10/3x9/4

90/12

Simplified- 7 1/2

Hope that helped! :D

3x^4-5x³

Step-by-step explanation:

Answer:

Step-by-step explanation:

The statements 6 covers the operation:

This is the reflection of the distributive property of multiplication.

The matching answer choice is B.

Answer:

a 50% chance of getting tails

but about the spinner It depends on what kind of spinner it is and how many sides/numbers/etc

does it have

   The given function y = x- 2(x+5), is a linear function.

 A function is a mathematical expression or equation that allows us to visualize graphically the behavior of a function. A function is not real when it cuts the vertical axis at the same point of x.

   A function can be linear or quadratic, this is evidenced by the higher exponential degree.

   We rewrite the function and reduce it to its minimum expression:
y = x- 2(x+5)

y = x + (-2x - 10)

y = x - 2x - 10

y = -x - 10 ,   linear function.

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Answer:

Step-by-step explanation:

x+4x+1=76 is the answer

The coordinates of point m if it is known that am : md = 1 : 2 is (4/3, 5)

The given parameters are

A = (-1, 5)

B = (6, 5)

Ratio, m : n = 1 : 2

The coordinates of point m are calculated using

M = 1/(m + n) * (mx2 + nx1, my2 + ny1)

So, we have

M = 1/(1 + 2) * (1 * 6 + 2 * -1, 1 * 5 + 2 * 5)

Evaluate the sum of products

So, we have

M = 1/3 * (4, 15)

Evaluate the product

M = (4/3, 5)

Hence, the coordinates of point m if it is known that am : md = 1 : 2 is (4/3, 5)

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The least preferable and reliable method of selecting people to participate in a research study is convenience sampling.

Convenience sampling is a type of sampling in which you include people who are easy to reach. Convenience sampling is included in non-probability sampling because it doesn't include a random selection of the participants. Convenience sampling can be used when you need to conduct a study quickly or when you are on a shoestring budget as it is inexpensive compared to other methods of sampling.

It is the least preferable method because of the inability to generalize the result of the survey to the population as a whole. In addition to this, there is a possibility of under or over-representation of the population as a whole. The biggest problem with convenience sampling is dependence as the sample items are connected to each another in some way. This dependency interferes with statistical analysis.

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The expression for 36+48 is 12(3 + 4).

A number or algebraic expression that divides another number or expression evenly—i.e., with no remainder.

Given:

36+48

Now, factorise 36 and 48

36=2*2*3*3

48=2*2*2*2*3

So, the common factor is 12.

Hence, the for the factor is 12(3 + 4)

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The inverse of the function is f-1(x) = √1/7(x - 8)

The function is given as

h(x) = 7x^2 + 8

Express h(x) as y

So, we have

y = 7x^2 + 8

Swap the positions of x and y

So, we have

x = 7y^2 + 8

Rewrite as

7y^2 = x - 8

Divide by 7

y^2 = 1/7(x - 8)

Take the square roots

y = √1/7(x - 8)

Hence, the inverse of the function is f-1(x) = √1/7(x - 8)

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Since LM ⊥ JK, LM is an altitude by the definition of altitude. We don't know if it is a perpendicular bisector because it is not evident that M is the midpoint of JK.

An altitude of a triangle is a line segment through a vertex that is perpendicular to a line containing the base in geometry. The extended base of the altitude is the line that contains the opposite side. The intersection of the extended base and the altitude is known as the altitude's foot.

A triangle's altitude is the perpendicular drawn from the triangle's vertex to the opposite side. The altitude, also known as the triangle's height, forms a right-angle triangle with the base.

Since LM ⊥ JK, LM is an altitude by the definition of altitude. We don't know if it is a perpendicular bisector because it is not evident that M is the midpoint of JK.

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The domain of the given function is a 180.62 to 355.55.

According to the statement

We have to find that the linear equation domain.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

The total cost to buy gloves for the football team can be found using the function \(p=24.99g+5.69\), where \(g)\ is the number of gloves bought. If there are at least \(7\) players but no more than \(14\) players on the football team

Then

p=24.99g+5.69

Now find the value of the g is

p=24.99g+5.69

Here the domain of the g]function is a From 1 to 14.

Then

For 7

p=24.99(7)+5.69

p=174.93+5.69

p = 180.62.

And for 14

p=24.99(14)+5.69

p=349.86+5.69

p = 355.55.

So, The domain of the given function is a 180.62 to 355.55.

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The solution fo the equation by completing the square is x = 12.544 or -4.544

Completing the square method is a method of solving quadratic equations in which the equation is converted into a perfect square binomial.

Given (x - 12)(x + 4) = 9

Expanding the brackets, we have

x² - 12x + 4x - 48 = 9

x² - 8x - 48 = 9

x² - 8x - 48 - 9 = 0

x² - 8x - 57 = 0

To complete the square, we add half the square of the coefficient of x to both sides. so,

x² - 8x - 57 = 0

x² - 8x - 57 + (-8/2)² = 0 + (-8/2)²

x² - 8x - 57 + (-4)² = 0 + (-4)²

x² - 8x + (-4)² - 57  = 0 + (-4)²

(x - 4)² - 57 = 16

(x - 4)² = 16 + 57

(x - 4)² = 73

Taking square roots, we have

x - 4 = ±√73

x - 4 = ±8.544

x = 4 ± 8.544

x = 4 + 8.544 or x = 4 - 8.544

x = 12.544 or -4.544

So, the solution fo the quadratic equation by completing the square is x = 12.544 or -4.544

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Answer:

Step-by-step explanation:

x=+/-square root 73

Answer: –1, 9, 19, 29, … (1 point)

38, 37, 32

40, 51, 62

39, 49, 59

38, 47, 56.

Step-by-step explanation: tried

Answer:

real x values is x < -1

Step-by-step explanation:

The slope of the line that contains the points (4,3) and (-2,-5) is 4/3

In this question,

we need to find the slope of the line that contains the points (4,3) and (-2,-5).

We know that the slope of the line passing though points (x1, y1), (x2, y2) is:

m = (y2 - y1) / (x2 - x1)

Let (x1, y1) = (4, 3),

(x2, y2) = (-2, -5)

Using the formula of the slope,

m = (y2 - y1) / (x2 - x1)

m = (-5 - 3) / (-2 - 4)

m = -8 / (-6)

m = 4/3

Therefore, the slope of the line that contains the points (4,3) and (-2,-5) is 4/3

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Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]0.5*\frac{10}{10} = \frac{5}{10} = \frac{1}{2}[/tex]

The value of x² for 8 degrees of freedom and an area of .05 in the left tail of the chi-square distribution is 1.344

Chi-square Distribution:

The chi-square distribution is a continuous probability distribution. It is skewed to the right or positively skewed for low degrees of freedom but shifts towards the symmetric distribution as the degrees of freedom are increased.

Given,

Degree of freedom = 8

Area of the left = 0.05

Here we need to find the value X² of the chi-square distribution.

The value of X² of the chi-square distribution is calculated through the formula,

X² = X²₍₁ ₋ₓ₎,y

Where

x represents the area of the given tails

y represents the degree of freedom

Apply the values on the formula,

=> X² = X²₍₁ ₋₀.₀₅₎,8

=> X² = X²₍₀.₉₉₅₎,8

Now, based on the Chi square distribution table,

The value of

=> X² = 1.344

Therefore, the value of x² for 8 degrees of freedom and an area of .05 in the left tail of the chi-square distribution is 1.344

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