Find the length of the diameter with endpoints of (1,-3) and (5,-6) *

\(~~~~~~11|x+1| < 44\\\\\implies |x+1| < \dfrac{44}{11}\\\\\implies |x+1| < 4\\\\\implies x +1 > -4~~~ \text{and}~~~ x+1 < 4\\\\\implies x > -4-1~~~ \text{and}~~~~ x < 4-1\\\\\implies x > -5~~~~~~~~ \text{and}~~~~~ x < 3\\\\\text{Hence,}~~ -5 < x < 3\)

Domain: 8, 9, 10, 11.Range: -7, 7 This relation does not represent a function because the same x-value (8, 10, 11) is associated with more than one y-value (-7, 7).

Domain: 8, 9, 10, 11

Range: -7, 7

A function is a relation between a set of inputs and a set of outputs such that each input is associated with exactly one output. This particular relation fails to meet this condition because the domain value 8 is associated with two different range values (-7 and 7). In other words, the same input (8) is associated with two different outputs, which means the relation does not represent a function. The domain of the relation is 8, 9, 10, 11 and the range is -7 and 7. Therefore, this relation does not represent a function because it violates the condition that each input must have one and only one associated output.

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

Answer:

1.\(\frac{24}{7}\)
2.\(\frac{21}{6}\)

Step-by-step explanation:

Given the following questions:

\(3\frac{3}{7} \\3\frac{5}{6}\)

To convert mixed numbers into improper fractions we need to multiply the denominators by the whole numbers, and then add that answer to the numerator while of course keeping the denominator the same.

Question one:

\(3\frac{3}{7} \\3\frac{3}{7} =7\times3=21+3=24=\frac{24}{7} \\=\frac{24}{7}\)

Question two:

\(3\frac{5}{6} \\3\frac{5}{6}=6\times3=18+3=21=\frac{21}{6} \\=\frac{21}{6}\)

Your answers are "24/7, and 21/6."

Hope this helps.

Answer: 1.79

Step-by-step explanation: 5.37−2.61−0.97                                                         2.76−0.97                                                                                                                 1.79

Answer:

$27.2

Step-by-step explanation:

680x0.04=. 27.2

She made $27.2 last week

Answer:

A. 2880 acres

Step-by-step explanation:

Formula: a = 640 s

Given information: s = 4.5

--> a = 640 x 4.5 = 2880 (acres)

Solving a system of equations we can see that:

We can use the variables:

x = mass of the 60% solution.

y = mass of the 85% solution.

We can write a system of equations.

x + y = 70

x*0.6 + y*0.85 = 70*0.8

We can isolate x on the first equation to get:

x = 70 - y

Replace that in the other one:

(70 - y)*0.6 + y*0.85 = 70*0.8

Now we can solve this for y.

y*0.25 = 70*0.8 - 70*0.6

y = 14/0.25 = 56

Then he needs to use 56 ounces of the 85% solution, and 14 ounces of the 60% solution.

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

The probability of picking an ace of hearts from a standard deck of playing cards is 1/52.

Consider a standard deck of cards.

We know that a standard deck of cards contains 52 cards.

So, total number of cards in the standard deck of cards = 52 cards

Now, we have to assume that there are no jokers in the set of cards.

We have to find the probability of picking an ace of hearts from a standard deck of playing cards.

For that we need to first find the number of cards which are ace of hearts.

Number of cards which are ace of hearts = 1

Probability of picking an ace of hearts from a standard deck of playing cards is,

P = Number of ace of hearts / Total number of cards

  = 1/52

Hence the probability is 1/52.

Learn more about Probability here :

https://brainly.com/question/29779138

#SPJ1

Answer: vvvvv

Step-by-step explanation:

Let R1 and G1 represent the red and green apples available for the first selection, respectively. Similarly, let R2, G2a, and G2b represent the red and two green apples available for the second selection, respectively. Then, the sample space for the two selections is:

{(R1, R2), (R1, G2a), (R1, G2b), (G1, R2), (G1, G2a), (G1, G2b)}

Out of these six outcomes, only two involve selecting a green apple first: (G1, R2) and (G1, G2a). And out of these two outcomes, only one involves selecting a green apple second: (G1, G2a).

Therefore, since the probability of selecting a green apple second changes based on whether a green apple was selected first, the events of selecting a green apple first and selecting a green apple second are dependent.

Using the subtraction operation, the number of flowers with 10 petals that Mrs. Moth picked was 6.

A subtraction operation is one of the four basic mathematical operations, including addition, division, and multiplication.

The subtraction operation involves the minuend, the subtrahend, and the difference.

The minuend is the number or value being subtracted from by the subtrahend.  The result of a subtraction operation is known as the difference.

The total number of picked flowers = 24

The number of flowers with 9 petals = 6

The number of flowers with 8 petals = 7

The number of flowers with 3 petals = 5

The total number of flowers identified = 18 (6 + 7 + 5)

The number of flowers with 10 petals = x

x = 24 - 18

= 6

Thus, 6 flowers had 10 petals out of the 24 Mrs. Moth picked.

Learn more about mathematical operations at https://brainly.com/question/4721701

#SPJ1

a) In April, the number of students who had not passed their driving test decreased by 5%.

b) The equation is 1.2x + 0.95(1000 - x) = 1000.

c) 200 students passed their driving test in January.

a) At the beginning, of January, x students had passed their driving test, then the remaining number of students who had not passed their driving test was (1000 - x).

In April, the number of students who had not passed their driving test decreased by 5%, which means the remaining number of students who had not passed their driving test is 0.95 times the original number (1000 - x).

b)

The number of students who had passed their driving test increased by 20%, which means the new number of students who passed their driving test is 1.2 times the original number (x).

The number of students who had not passed their driving test decreased by 5%, which means the new number of students who had not passed their driving test is 0.95 times the original number (1000 - x).

Therefore, we can write the equation 1.2x + 0.95(1000 - x) = 1000.

c) We can solve for x in the equation 1.2x + 0.95(1000 - x) = 1000.

Expanding the equation, we get:

1.2x + 950 - 0.95x = 1000

0.25x = 50

x = 200

Therefore, 200 students passed their driving test in January.

Learn more about the equations here:

brainly.com/question/10413253

#SPJ1

The pair that support Angle-Side-Angle Postulate (ASA) be used to prove that △ABC≅△XYZ is option B

Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules

examples of these rules are

The problem requires the prove by Angle - Side- Angle = ASA to ensure that the the triangles are congruent

The Angle - Side - Angle = ASA have it that the two triangles being compared should have their two angles and the included side being equal

Learn more about congruent triangles here:

https://brainly.com/question/29393764
#SPJ1

Answer:

(-25)+(-12)+(-34) = -71

so when you add negative numbers you simply add them such as -2+-2 -4

so same conditions

so it will be -25+-12+-34 and it will simply be 25+12+34 so -71

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

For more questions on Cyclists .

https://brainly.com/question/3807925

#SPJ8

The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)

The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.

The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.

Therefore, the data set that is represented in the histogram is:

{3, 7, 4}

None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)

For such more questions on histogram

https://brainly.com/question/32761368

#SPJ8

A regression through the origin is a linear regression model where the intercept time period is assumed to be 0, meaning the regression line passes through the starting place.

This version is also referred to as zero-intercept regression or homogeneous regression.

It's far frequently used whilst there's a theoretical foundation to agree with that the relationship among the dependent and unbiased variable passes via the foundation or whilst the information propose that the intercept ought to be 0.

The slope coefficient represents the change within the structured variable for a one-unit increase inside the unbiased variable.

However, this kind of regression may not be appropriate in all cases, and a general linear regression version with an intercept term can be greater suitable.

Learn more about linear regression model:-

https://brainly.com/question/30621842

#SPJ1

The graph of the equation y = |x| + 5 is given below.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

The given equation is y = |x| + 5.

Set the given values for x and find the corresponding values of y.

When x = -3, y = |-3| + 5 = 8

When x = -2, y = |-2| + 5 = 7

When x = -1, y = |-1| + 5 = 6

When x = 0, y = |0| + 5 = 5

When x = 1, y = |1| + 5 = 6

When x = 2, y = |2| + 5 = 7

When x = 3, y = |3| + 5 = 8

Graph of the equation is given below.

Hence the graph of the equation is found.

Learn more about Graphing of Functions here :

https://brainly.com/question/9834848

#SPJ1

Answer:

sorry for delay. 37.3 is the answer.

Step-by-step explanation:

The length of arc EC, in the given circle is: 37.3 cm

Length of arc = ∅/360 × 2πr

Given the following:

Radius (r) = FA = 23 cm

∅ = m∠EFC = 180 - 87 = 93°

Length of arc EC = 93/360 × 2π(23)

Length of arc EC = 0.258 × 144.5

Length of arc EC = 37.3 cm

Learn more about length of arc on:

https://brainly.com/question/2005046

Answer:

C. The equation x = 50y represents this situation.

Step-by-step explanation:

Let's examine each statement given and determine if it is correct or not correct based in the information given to in the graph.

Statement A: "The point (2, 100) means that there are 100 pounds of wild rice in 2 bags."

✅This is CORRECT because from the graph, on the x-axis (number of bags), when x = 2, y on the y-axis (pounds of wild rice) is 100.

Statement B: "The data represents a proportional relationship".

✅This is CORRECT because a graph that shows a proportional relationship between x and y, has a line that cuts through the point of origin (0, 0).

Statement C: "The equation x = 50y represents this situation".

❌This is NOT CORRECT. The equation does not represent a proportional relationship between x and y. The correct equation should be y = 50x. Where 50 is the constant of proportionality. That is y/x.

Statement D: "The constant of proportionality is 50."

✅this is CORRECT because constant of proportionality = y/x = 100/2 = 50.

The value of the function f(x) = 3x^2 - 2x + 1 at x = -1, will be 6

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.

Algebraic expressions are expressions that are made up of variables and constants. Any value can be assigned to a variable. The value of an expression changes depending on the values assigned to the variables it includes. There are an unlimited number of points on a number line.

To evaluate the function f(x) = 3x^2 - 2x + 1 at x = -1,

we simply substitute -1 for x in the expression:

f(-1) = 3(-1)^2 - 2(-1) + 1

= 3(1) + 2 + 1

= 6

Therefore, f(-1) = 6.

For more questions on Value of the Expressions

https://brainly.com/question/28993394

#SPJ4

Answer:

The width should be 6.5 inches instead of 0.65 inches.

Hope this helps!

Answer:

Third answer shown

Step-by-step explanation:

Since each equation has a right side equal to the same thing, y, those right sides must be equal to each other.

                                                    x + 3 = -2x + 6

Add 2x to both sides.                2x          2x

                                                   3x + 3 =  0 + 6

                                                   3x + 3 = 6

Subtract 3 on both sides.                -3     -3

                                                      3x    =    3

Divide both sides by 3.                   x = 1

Now, let's see what y must be if x equals 1.

Line M:  y = x + 3 -->  y = 1 + 3 --> y = 4

Line N: y = -2x +6 --> y = -2(1) +6 --> y = -2 + 6 --> y = 4, confirmed

So the ordered pair (x, y) that satisfies both equations is (1, 4)

*** This means that if you graphed both lines on an xy-coordinate plane, the point (1,4) would be the point where the two lines intersect.

That is the third answer shown.

Answer:

i think it is the first one..........

To find the area of the trapezoid, we will use the formula below:

where a and b are the base and h is the height.

From the diagram given, a=7 , b=17 and h = 5.

Substitute the values into the formula and evaluate.

That is;

Hence, the area of the trapezoid is 60 yd².

Tony's should focus on identifying and leveraging its unique strengths and offering a differentiated value proposition to customers.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

As the owner of Tony's Fresh and Hot Pizza Shop lacks creativity in offering a large menu, the best strategy for successfully competing despite this weakness is to focus on a niche and differentiate from the competition.

One possible approach could be to specialize in a specific type of pizza, such as Chicago-style deep-dish or Neapolitan-style pizza, and offer a limited but high-quality menu of toppings and flavors. This would allow Tony's to establish a reputation for excellence in a particular style of pizza, which could attract a loyal customer base.

Another strategy could be to emphasize the convenience and speed of Tony's delivery service, promoting the fact that customers can get hot, fresh pizza delivered to their door quickly. This could appeal to busy customers who prioritize convenience over a large menu selection.

Buying a franchise gourmet pizza shop with a large menu might not be a feasible option for Tony's, as it would require a significant investment and might not align with the business's strengths or values.

Finally, waiting for gourmet pizza to go out of style is not a reliable or proactive strategy for success.

Therefore, Tony's should focus on identifying and leveraging its unique strengths and offering a differentiated value proposition to customers.

To learn more about Algebraic expression from given link.

https://brainly.com/question/28884894

#SPJ1

Answer:

\(15x+2y+33=0\)

Step-by-step explanation:

The slope of the line that goes through (-1, -9) and (-3, 6) is

\(\frac{6-(-9)}{(-3)-(-1)}=\frac{15}{-2}\)

The slope of the line that goes through (-1, -9) and (x, y) is

\(\frac{y-(-9)}{x-(-1)}=\frac{y+9}{x+1}\)

So

\(\frac{y+9}{x+1}=\frac{15}{-2}\\15(x+1)=-2(y+9)\\15x+15=-2y-18\\15x+2y+33=0\)

let's solve for f :

Taking reciprocal of both sides :

They can buy 120 vans, 60 small trucks, and 80 large trucks.

The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck

Therefore,

let

s = number of small truck

number of van = v

let

l = number of large truck

v + s + l = 260

25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000

v + 2s + 2l = 400

Hence,

v = 2s

So,

2s + 2s + 2l = 400

4s + 2l = 400

2s + s + l = 260

3s + l = 260

2s + l = 200

s = 60

l = 200 - 2(60)

l = 200 - 120

l = 80

v = 2(600 = 120

Therefore, they can buy the following:

number of small truck = 60

number of van = 120

number of large truck = 80

learn more on cost here: brainly.com/question/27903912

#SPJ1

Answer:

15

Step-by-step explanation:

2/3 of 30 is 20, so 1/2 of 30 is 15

the answer is in the image above

We know form the image that SR and SU are congruent therefore SW and UW must be congruent.

Therefore if UW=8 SW=8

ANSWER

SW=8

Answer: 1/2

Step-by-step explanation:

f(Ф) = 2sin(Ф) - cos(2Ф)

f(pi/6) = 2sin(pi/6) - cos(pi/3)

Use the pi circle or a calculator

f(pi/6) = 2(1/2) - 1/2 = 1/2