how do you check your result after factoring a polynomial?

The inequality that represents the least number of days after Monday that Joseph needs to run to reach his goal is [tex]2\frac{1}{2}[/tex] + [tex]1\frac{1}{3}x[/tex]  ≤ 6

Number of miles that Joseph run on Monday = [tex]2\frac{1}{2}[/tex] miles

Number of miles that Joseph run each day after that = [tex]1\frac{1}{3}[/tex] miles

The inequality is the mathematical statement that shows the relationship between two expression using an inequality symbol. The inequality symbols are less than, greater than, less than or equal and greater than or equal.

Then the inequality will be

[tex]2\frac{1}{2}[/tex] + [tex]1\frac{1}{3}x[/tex]  ≤ 6

Where x is the number of days after Monday that Joseph needs to run to reach his goal

Therefore, the inequality is [tex]2\frac{1}{2}[/tex] + [tex]1\frac{1}{3}x[/tex]  ≤ 6

Learn more about inequality here

brainly.com/question/30231190

#SPJ4

Her percentage difference in programming in accordance with the statement is 40%.

It is discussing speed. the velocity at which the position of an object shifts in any direction. Speed is defined as the ratio of the distance traveled to the time required to cover that distance. Speed can be stated as a number since it just has to have 1 element and no magnitude.

You may use the following format to get Rhetta's increased typing speed in percentages:

(New Values - Originally Value) / (Original Value x 100) = Percent Increase

Calculating the percentage increase is as follows: Percentage Point Equals (56 - 40) / 40 x 100 Equals 40% in this instance, where the previous value was 40 words every minute and the new number was 56.

Rhetta was now 40% faster at typing.

To know more about Speed visit:

https://brainly.com/question/28354412

#SPJ1

The measures of angles C and D are 70° and 100°, respectively.

Understanding angles is a fundamental concept in geometry. A quadrilateral is a polygon with four sides, and its angles are essential to determining its properties.

Let's start by labeling the angles in the quadrilateral. We know that two angles measure 100° and 90°, so let's label them as A and B, respectively. The other two angles, which we are trying to find, can be labeled as C and D.

Now, we are given that the ratio of angles C and D is 7:10. This means that we can write the following equation:

C/D = 7/10

We can use this equation to solve for one of the angles. Let's choose angle C. We can rewrite the equation as:

C = (7/10)D

We also know that the sum of the angles in a quadrilateral is 360°. Therefore, we can write another equation:

A + B + C + D = 360°

We can substitute the values we know into this equation and solve for angle D:

100° + 90° + (7/10)D + D = 360°

Simplifying the equation:

(17/10)D = 170°

D = 100°

Now that we know the value of angle D, we can use the equation we derived earlier to find the value of angle C:

C = (7/10)D = (7/10) x 100° = 70°

To know more about angles here.

https://brainly.com/question/4316040

#SPJ4

The vertex of the given graph is (5, 0)

A vertex is a point on a polygon where two rays or line segments meet, and the sides or edges of the object come together. Vertex is the plural form of vertices.

A straight line that can be extended endlessly is known as a ray. An angle is created when two line segments or rays cross one another. A vertex is created by definition whenever two lines come together to produce an angle.

Thus, we can state that a vertex is formed when two line segments or rays intersect.

Here we have a graph  

The equation of the graph is y = |x - 5| + 1  

As we can see that two lines are intersected at a point (5, 0)

Therefore,

The vertex of the given graph is (5, 0)

Learn more about Graphs at

https://brainly.com/question/29119716

#SPJ1

Keenan has placed his solar panel at an optimal angle.

The cosine law is a mathematical relationship between the sides and angles of a triangle. The cosine law states that:

cos(C) = (a² + b² - c²) / 2ab

where a, b, and c are the lengths of the sides of the triangle and C is the measure of one of the angles. This law can be used to find unknown side lengths or angle measures in a triangle when given the other values.

Check the attached image for labelling.

The angle we are trying to calculate is labelled C.

cos (C) = (20² + 18² - 19²) / (2*20*18)

cos (C) = 363/720

C = cos⁻¹(363/720)

C = 59.72°

Since the angle obtained is between 58° and 60°. Thus, Keenan has placed his solar panel at an optimal angle.

Learn more about cosine law on:

https://brainly.com/question/8823652

#SPJ1

Answer:

35 m

Step-by-step explanation:

I will assume the goal is not to waste any wood.  We need to find a common length that will allow each piece of wood to be divided into whole pieces with nothing left over.  The shortest plank is 70 m, but that length will cause a loss of 35 m on the 105m plank, and also 35m on the 175m plank after two 70m sections have been cut off (175 - 140 = 35).

Looking at the actual lengths, one might spot that they are all evenly divisible by 35.  See the table below.  The numbers under "35" are the result of the length divided by 35.  They are all whole numbers.  We can cut each plank into 35m sections and have none left over.

Length (m) 35 (factor)

  70                  2 planks

  105          3 planks

  175          5 planks

This will result in 10 35m planks.  

No need to plank me.

By using the distributive property the sum "36 + 45" can be expressed as product and sum of 2 numbers as 9 × (4 + 5) .

The Distributive Property states that a × (b + c) = a×b + a×c, where a, b, and c are any real numbers.

Using this property, we can rewrite the sum 36 + 45 as:

⇒ 36 + 45 = 9 × 4 + 9 × 5

Factoring out the common factor of 9,

we get ;

⇒ 36 + 45 = 9 × (4 + 5) ;

Therefore,  the sum 36 + 45 as the product of a whole number (9) and a sum of two whole numbers (4 and 5) is 9×(4 + 5)  .

Learn more about Distributive Property here

https://brainly.com/question/6276874

#SPJ4

The given question is incomplete , the complete question is

What is  36+45 by using the distributive property to rewrite the sum as the product of a whole number other than 1 and a sum of two whole numbers ?

The approaches to building a multiple linear regression model is option (C) Backward elimination

Here the multiple linear regression model involves taking all of the possible independent variables, and then systematically eliminating insignificant ones until only significant ones remain

We know the independent variable is the variable that does not depends on any other variables

Here the given elimination methods is eliminating insignificant ones until only significant ones remain

In the backward elimination method starts with explanatory variables in the regression model then starts to eliminates the least significant ones will eliminates one by one

Therefore, the suitable approach is backward elimination method

Learn more about multiple linear regression model here

brainly.com/question/29855836

#SPJ4

Answer: 167.55 cm.

Step-by-step explanation:

Cone volume formula is V=1/3hπr².

Substitute...

V= 1/3 (10) (π) (4)^2

V= 53 1/3 π

V= 167.55 cm

Hope this helps!

MM

Answer:

7x

Step-by-step explanation:

That would be   ( -2x )(-5) + -3x(1) = 10x - 3x = 7x

Answer:

Step-by-step explanation:

Convers 95 min into hours

95/60 = 1.58 Hours

Sara can read 19 pages per hour

Total pages in 95 min or 1.58 hours =

19 * 1.58 = 30.02

Rounding off to nearest whole number- 30

Hope it helps

The probability of selecting a black card first and a red card second from a standard deck of 52 playing cards without replacement is 13/51.

The probability of selecting a black card on the first draw is 26/52, or 1/2, since there are 26 black cards in a standard deck of 52 playing cards.

After the first card is drawn, there are 51 cards remaining, of which 26 are red. Therefore, the probability of selecting a red card on the second draw, given that a black card was selected on the first draw, is 26/51.

To find the probability of both events happening (selecting a black card followed by a red card), we multiply the probabilities of each event:

P(black card first, red card second) = P(black card first) × P(red card second | black card first)

P(black card first, red card second) = (1/2) × (26/51)

P(black card first, red card second) = 13/51

For more such questions on probability

https://brainly.com/question/24756209

#SPJ4

The second statement in your question is the correct response.

What is the sampling distribution?

A sampling distribution is the probability distribution of a statistic (such as the sample mean or sample proportion) based on all possible random samples of a fixed size from a population.

The following statement must be true for an estimator of a population parameter to be unbiased:

The expected value of the estimator is equal to the population parameter.

Hence, the second statement in your question is the correct response.

To learn more about sampling distribution, Visit

https://brainly.com/question/29368683

#SPJ1

The values in the missing observation are:

X1    X2

76 22  

82 25

91 32

101    41

88 28

An expression contains terms with addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

x1 x2

76 22  

82 __

91 32

__    41

88 28

The difference between each row are:

76 - 22 = 54

82 - 25 = 57

91 - 32 = 59

101 - 41 = 60

88 - 28 = 60

We see that,

57 - 54 = 3

59 - 57 = 2

60 - 59 = 1

60 - 60 = 0

So,

The difference between the numbers is consecutive as 3, 2, 1, 0.

Thus,

The missing values of X1 and X2 are 101 and 25.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

The answer option which is not a characteristic of a plane include the following: C. thickness.

In Mathematics, a plane is sometimes referred to as a two-dimensional surface and it can be defined as a flat, two-dimensional surface with zero curvature and zero thickness, that extends indefinitely (infinitely). Additionally, two (2) planes intersect at a line.

Generally speaking, there are different characteristics of a plane and these include the following:

In this context, we can reasonably infer and logically deduce that thickness is not a characteristic of a plane.

Read more on planes here: brainly.com/question/23917559

#SPJ1

Complete Question:

Which of the following is NOT a characteristic of a plane?

A. length

B. flat surface

C. thickness

D. width

Answer:

x=1 , y=1

Step-by-step explanation:

2x+y=3 - - (1)

4x+6=10y
=> 4x-10y=-6 - - (2)
Multiply eq (1) by 2, and we get ;

4x+2y=6 - -(3)

Now subtract eq (3) by eg (2)
4x+2y=6
-4x+10y=+6

12y=12

y=1

Sub value of y in eq (1)

2x+1=3

2x=2

x=1

Answer:

In the expression -17 + (-b) + (-25), the coefficient is a number that multiplies a variable. In this case, the coefficients are -17, -1 (which multiplies the variable "b"), and -25.

Step-by-step explanation:

Answer:

y=5 and x=-1 are parallel

Step-by-step explanation:

Let's do a quick review on some things:

Parallel lines are the lines that never intersect and perpendicular lines are the lines that intersect at 90°.

Lines with the same slope are parallel and if the slope of one line is the negative reciprocal of the second line, then they are perpendicular.

So, this answers to your question that it's parallel!

Hopefully this helps :)

Both the quantity of candy bars and bags of chips sold are Melanie sold five bags of chips and eighteen candy bars (5 + 13).

A product that has been sold has been exchanged for cash. You'll notice a "Sold" sign appear in the front yard of the house across the street whenever new neighbours purchase it.

In addition to being a noun, the verb sell has three different tenses: simple present, simple past, and past participle. I'll sell my current vehicle and purchase a new one. She is distributing water bottles at the football game. My old college textbooks were all sold on the internet yesterday.

Let x be the number of bags of chips sold, then the number of candy bars sold would be x + 13.

The total revenue from the sales of the bags of chips would be $1.25 * x and the total revenue from the sales of the candy bars would be $1.50 * (x + 13).

Since the total revenue was $33.25, we can set up an equation:

$1.25x + $1.50(x + 13) = $33.25

Expanding and simplifying the right side:

$1.25x + $1.50x + $19.50 = $33.25

Combining like terms:

$2.75x + $19.50 = $33.25

Subtracting $19.50 from both sides:

$2.75x = $33.25 - $19.50 = $13.75

Dividing both sides by $2.75:

x = $13.75 / $2.75 = 5

So Melanie sold 5 bags of chips and 5 + 13 = 18 candy bars.

To know more about Sold visit:

https://brainly.com/question/10878600

#SPJ1

Answer:

The answer to your question is 3/10

How do you compare fractions?

First lets find similar fractions

2.5/10 = 25/100 We know that.

Since 3/10 is bigger that 2.5/10 by .5 it would basically conclude that 3/10 is greater/bigger the the fraction 25/100.

Answer:

2d-6

Step-by-step explanation:

Since the d is doubled you are multipling then subtracting 6 from the result

Answer:

the area of the isosceles triangle is approximately 104.49 cm^2.

Step-by-step explanation:

The perimeter of the triangle is 100 cm, so we can write an equation using the lengths of the sides:

x + x + (x + 10) = 100

3x + 10 = 100

3x = 90

x = 30

So the equal sides of the triangle have length 30 cm and the side that is 10 cm greater has length 40 cm.

To find the area of the triangle, we can use the formula for the area of an equilateral triangle:

Area = (sqrt(3) / 4) * (side length)^2

Area = (sqrt(3) / 4) * 30^2

Area = (sqrt(3) / 4) * 900

Area = (sqrt(3) / 4) * 30 * 30

Area = (sqrt(3) / 4) * 900

Area = (30 * sqrt(3)) / 2

Area = 45 sqrt(3)

5 to the power of one sixth (5¹/⁶) will be equal to square root of the cube root of 5.

What is the definition of square root?

The square root of a number is a value that, when multiplied by itself, yields the original number. The square root is the opposite of squaring a number. As a result, squares and square roots are ideas that are connected.

If x is the square root of y, it is denoted as x=√y, or the same equation may be expressed as x² = y. √" is the radical symbol used to symbolise the numerical root here. When a positive number is multiplied by itself, it represents the number's square. The square root of a positive number yields the original value.

Now,

Given that square root of the cube root of 5 i.e. √∛5=?

=√5¹÷³

=5¹/²*¹/³

=5¹/⁶

hence,

          5 to the power of one sixth (5¹/⁶) will be equal to square root of the cube root of 5.

To know more about square root visit the link

https://brainly.com/question/29286039?referrer=searchResults

#SPJ1

[tex]\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} →}[/tex]

Total cards = 52

Total diamond cards = 13

So, probability of getting a card of diamond,

P(diamond) = 13/52 = 1/4

Now,

Total cards with number seven = 4

So, probability of getting a seven,

P(seven) = 4/52 = 1/13

The percentage increase is given by the equation A = t + 0.24t = 1.24t

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the percentage increase be represented as A

Now , the equation will be

The initial quantity be represented as t

Now , the increased quantity be represented as p = 24 %

So , the increased quantity = 24 % x initial quantity

Substituting the values in the equation , we get

The increased quantity = ( 24/100)t

The increased quantity = 0.24t

So , the final quantity = initial quantity + increased quantity

On simplifying the equation , we get

The final quantity = t + 0.24t

The final quantity = 1.24t

Hence , the equation is A = 1.24t

To learn more about percentage click :

https://brainly.com/question/12861068

#SPJ1

The radius line intersects the circle at (4, 8) because the tangent line's slope, which is -1/3, is perpendicular to the radius line's slope of (0, 8), which is 0.

1. Use m = 0 to calculate the slope of the line through point (12, 0).

2. Calculate the radical line's angle between the origin and the tangent point: m = ∞

3. To determine the location where the line touches the circle, use the relationship between the slopes: M2 = -1/M1 = -1/0 = - since M1 M2 = -1

4. To determine a point's coordinates, use the equation for a circle: (x - 8)2 + (y - 8)2 = 82, so (4, 8) (4, 8)

We can use the relationship between the slopes of the tangent line and the radical line from the origin to the tangent point to determine the location where the line contacts the circle. Since the tangent line crosses through point (12,0), its slope is equal to zero. Since the radical line slopes at m2 =, m1 m2 = -1. Accordingly, m2 = -1/m1 = -1/0 = -∞.The coordinates of the spot where the line touches the circle can then be determined using the equation for a circle. (x - 8)2 + (y - 8)2 = 82 is the equation for a circle having the origin as its center and a radius of 8. The coordinates of the place where the line intersects the circle are (4, 8), which can be obtained by substituting in the values for m1 and m2.

Learn more about radius here

https://brainly.com/question/15047456

#SPJ4

If they charges a one-time fee of $45, plus $25 per hour, then the the slope of this situation is $25 per hour.

The situation described can be represented by the linear equation

Cost = $45 + $25 × hours

where "Cost" is the total cost of the tour and "hours" is the number of hours for which the tour is taken.

The slope of this equation represents the rate of change in the cost of the tour with respect to the number of hours.

In other words, it tells us how much the cost increases for each additional hour of the tour.

The slope of this equation is simply the coefficient of the "hours" variable, which is $25.

Therefore, the slope of this situation is $25 per hour.

Learn more about linear equation here

brainly.com/question/29739212

#SPJ4

Answer:

$25 per hour.

Step-by-step explanation:

Answer:

42 mi²

Step-by-step explanation:

Break it up into 2 shapes, top and bottom, then add the areas together.

Area 1 (top rectangle) = 12 x 3 = 36

Area 2 (bottom rectangle) = 2 x 3 = 6

Total area = 36 + 6 = 42 mi²