A runner charted how long it took her to run certain distances. Here is the information she gathered: 0 8 16 24 0 1 2 3 At this pace, how long will it take her to run 6 miles?

The mass when it is full of water will be 8,961 grams.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The spherical cover of a lamp has a mass of 780 g and a diameter of 25 cm. If you were to use it to carry water.

We know that the density of the water is 1 g / cm³. Then the mass of the water will be given as,

Density = mass / volume

1 = m / [(4/3)πr³]

m = (1/6) πd³

m = 8181 grams

The mass when it is full of water will be

⇒ 780 + 8181

⇒ 8,961 grams

The mass when it is full of water will be 8,961 grams.

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Step-by-step explanation:

72+68=140°

180-140=40°

z=40°

If M is the midpoint of AB  , Value of AB = 28

What is mid points of line?

If M is the midpoint of AB it means AM is equal to MB

AM = 3x + 8 and MB = 6x-4

and AB  = AM + MB

first find the value of x by using AM = MB

6x-4  = 8x-10

-4 + 10 = 8x - 6x

6 = 2x

x = 3

AB = 6( 3 ) - 4

= 18 - 4 = 14 = MB

AB = AM + MB

= 14 + 14

=  28

so, the value of AB is 28

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Answer: reciprocal property

Step-by-step explanation:

2 = 2/1 so flipped would be 1/2

Answer:

Step-by-step explanation:

Use the distributive property to remove the parentheses. Then use the addition property of equality to move the variables to the left and the constants to the right. Then simplify both sides of equation. Divide -1.76 to both sides of equation to solve for d.

1.8(6.4d + 4) = 1.6(8.3d + 6.7)

11.52d + 7.2 = 13.28d + 10.72

11.52d -13.28d = 10.72 -7.2

-1.76d/-1.76 = 3.52/-1.76

d = -2

The average speed of an automobile is a 55 miles per hour.

According to the statement

We have to find that the value of the average speed of an automobile.

So, For this purpose, we know that the

The average speed is the total distance traveled by the object in a particular time interval.

From the given information:

automobile trip of 275 miles that began at 7:30 in the morning and ended at 12:30 in the afternoon

Then

The total distance covered =  275 miles

And

The total time taken = From 7:30 in the morning to 12:30 in the afternoon

Then

The total time taken = 5 hours,

Then

Average speed =  total distance covered / total time taken

Average speed =  275 miles / 5 hours

Then

Average speed =  275 / 5

Average speed =  55 miles per hour.

So, The average speed of an automobile is a 55 miles per hour.

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The answer is 5.12 easy as pie

The most frequent numerical value in a set of data exists named the mode.

The mode in 50, 45, 55, 55, 45, 50, 55, 45, 55 is 55.

There is no mode in 89, 87, 88, 83, 86, 82, 84.

The mode in 11, 17, 14, 12, 12, 14, 14, 15, 17, 17 is 14 and 17.

A data set's mode is its most prevalent value. It is the number that appears most frequently on a list. The number with the highest sum is referred to as the mode.

The most frequent numerical value in a set of data is called the mode. In other words, the number that appears the most times in a list is the mode.

Rearranging the list of integers from least to greatest and then counting the occurrences of each number in the new order will reveal the mode. The mode is the most frequent number.

The average value in a data set exists in the most popular statistical data analysis technique, named Mean.

The median exists the data set's midway.

Mode exists the value that dominates a data set.

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Answer:

Step-by-step explanation:

-4x  ≥ 12  (Add 4 to both sides)

x  ≥  -3  (Divide each side by -4)

Answer: x≤-3

Step-by-step explanation:

[tex]-(4)x-4\geq 8\\-(4)x-(1)(4)\geq (4)(2)[/tex]

Divide both parts of the equation by 4:

[tex]-x-1\geq 2\\-x-1+x\geq 2+x\\-1\geq 2+x\\-1-2\geq 2+x-2\\-3\geq x[/tex]

The slope-intercept form of the given equation of a line is: y = 3/2(x) + 7/2 The slope here, is 3/2 and y-intercept is 7/2.

Now,

The slope-intercept form of an equation of a line is given by: y = mx + c, where m = slope of the line and c = y-intercept of the line.

Transforming the given equation of the line: -3x + 2y = 7

=> 2y = 7 + 3x

=> y = 3/2(x) + 7/2

On comparing it with y = mx + c, we get that: m (slope) =  3/2  and c = 7/2 (y-intercept).

Hence, The slope-intercept form of the given equation of a line is: y = 3/2(x) + 7/2. The slope here, is 3/2 and y-intercept is 7/2.

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According to the question, the crickets don't chirp at all at [tex]34[/tex] degrees or below [tex]40[/tex] degrees and at [tex]56[/tex] degrees they chirp about [tex]140[/tex] times per minute. And [tex]55[/tex] chirps per minute when crickets make at [tex]62[/tex] degrees.

What is the calculation rule?

The calculation rule is to consider chirp rate as input and temperature as output. Then count the number of chirps, divide it by four and add forty to it. Therefore, the standard formula can be written as:

Estimated temperature = [tex](\frac{1}{4} )[/tex] chirp rate+[tex]40[/tex]

This formula is a mathematical model, it predicts the chirp rate with different temperatures. In mathematics, the temperature depends on the chirp rate that means once the chirp rate value is known then the temperature calculation becomes easy.

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Answer:

y = 11

Step-by-step explanation:

Let's solve your equation step-by-step.

[tex] \rightarrow \sf \: y {}^{2} =121[/tex]

Step 1: Take square root.

[tex] \sf \: y=± \sqrt{121} [/tex]

y=11 or y=−11

Step-by-step explanation:

7(× - 3) > - 7

7× - 21 > - 7

7× > -7 + 21

7× > 14

______

7 7

× = 2

If participation continues at the same rate, the participation in 2013 will be 5.75million i.e. 5750000 .

Slope(m) for given two points (x₁,y₁) and (x₂,y₂)  is calculated using the formula

m=(y₂-y₁)/(x₂-x₁)

In the given question ,we will take year as x coordinate and the participation as y coordinate.

Given " The participation in 2004 was 8milllion" , So

The point becomes (2004,8)

and "the attendance in 2006 was 8.5 million" So

the point becomes (2006,8.5)

Now as we have the two points (2004,8) &  (2006,8.5) ,

x₁=2004 , y₁=8 , x₂=2006 , y₂=8.5

slope can be calculated as

m=(8.5-8)/(2004-2006)

m=0.5/2

m=0.25

Hence , the rate of change is 0.25 million participants per year.

It is given in the question that rate of change remains constant.

To predict the attendance for the year 2013.

Let the attendance for the year 2013 be x.

we have (2004,8) and (2013,x)

let m=0.25, x₁=2004 , y₁=8 , x₂=2013 , y₂=x

m=(y₂-y₁)/(x₂-x₁)

Substituting the values above we get  

[tex]0.25=\frac{8-y}{2013-2004} \\ \\ 0.25=\frac{8-y}{9}[/tex]

By cross multiplying we get

[tex]0.25*9=8-y\\ \\ 2.25=8-y\\ \\ y=8-2.25[/tex]

[tex]y=5.75[/tex]

Therefore , If participation continues at the same rate, the participation in 2013 will be 5.75million i.e. 5750000.

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The Given expression in the question is this 3x+y>3; the answer to this expression is (3/4,0).

So, we need to find the solution to the given expression and then compare the answers to see if they match each other. If so, the ordered pair is the solution of the given word; if not, the ordered pair is not the solution of the given expression.

In this problem, you substitute ordered pairs of x and y values ​​into the equation.

3(3/4) + (0) > 3

9/4 + 0 > 3

9/4 > 3 No, 9/4 is not greater than 3, so the ordered pair is (3/4,0). Not the solution to the equation

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The equation of the circle x^2 + y^2 = 14 has a radius of √14 and a center located at (0 , 0).

The standard form of the equation of  circle is given by

(x - h)^2 + (y - k)^2 = r^2

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x^2 + y^2 + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.

If the equation of the circle,x^2 + y^2 = 14, is in standard form, then

h = 0

k = 0

r = √14

Hence, the equation of the circle x^2 + y^2 = 14 has a radius of √14 and a center located at (0 , 0).

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Answer:

SSA stands for side-side angles.

Step-by-step explanation:

SSA means there are two known sides of a triangle and one known angle that is not between the two sides and they are equal to two known sides and a angle of another triangle, the triangles are similar (that’s what SSA has to do with similar triangles)

Answer:

a) 6+9=15

p) -30+20= -10

m) 15-12=3

X) -10-7= -17

Step-by-step explanation:

Normal distributions are symmetric around their mean. The mean, median, and mode of a normal distribution are equal. The area under the normal curve is equal to 1.0. Normal distributions are denser in the center and less dense in the tails.

Answer:

12.5

Step-by-step explanation:

3.75 divided by 0.3 is equal to 12.5

so 4.5 divided by 0.3 is equal to 15

Answer:

12.5

Step-by-step explanation:

The 17 th term of each sequence a₁₈ = -5, d=12 is [tex]a_{17}[/tex] = 187.

a₁₈ = -5, d=12

[tex]a_{17}[/tex] = a + (n-1)d

[tex]a_{17}[/tex] = -5 + (16)12

[tex]a_{17}[/tex] = 187

succession: the doing of one thing after another. A list of books is presented in alphabetical order. a succession of sonnets that is continuous or connected. a later event, outcome, or repercussion; something that happens after.

A series of numbers is an ordered list. The three dots signify moving forward in the set pattern. Each digit in the sequence is referred to as a word. The first term in the list is 1, followed by the second by 3, the third by 5, and so on.

Arithmetic sequences, geometric sequences, quadratic sequences, and special sequences are the four primary categories of distinct sequences you need to be familiar with.

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Answer:

its d

Step-by-step explanation:

The equation relating the circumference (CA) of ®A to the circumference (CB) of ®B is a(CA) - b(CB) = 0.

A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object.

Now it is given that,

scale factor from ®A to ®B = b/a

⇒Ks = b/a

∵ Ks = A/B

By comparison we get,

A = b

and B = a

Thus, circumference (CA) of ®A = 2πr = 2πb

and, circumference (CB) of ®B = 2πr = 2πa

Dividing both we get,

circumference (CA) of ®A/circumference (CB) of ®B = b/a

by cross multiplication we get,

a * circumference (CA) of ®A = b * circumference (CB) of ®B

or, a * circumference (CA) of ®A - b * circumference (CB) of ®B = 0

or, a(CA) - b(CB) = 0

this is the required equation.

Thus, the equation relating the circumference (CA) of ®A to the circumference (CB) of ®B is a(CA) - b(CB) = 0.

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If quadrilateral WXYZ is a rhombus and ∠XYZ = 110°, then ∠ZWY is equal to 110°.

Rhombus is a quadrilateral that is similar to a parallelogram since its opposite sides are parallel with each other and its opposite angles are equal. All four sides of a rhombus are of equal length and the diagonals bisect each other at 90°.

Rhombus has 4 interior angles whose sum is 360°. The opposite angles of a rhombus are equal to each other while the adjacent angles are supplementary.

∠XYZ is the opposite angle of ∠ZWY and opposite angles of a rhombus are equal to each other.

If the measure of ∠XYZ is 110°,

∠XYZ = ∠ZWY

110° = ∠ZWY

then the measure of ∠ZWY is also equal to 110°.

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equation of the line that passes through the point (8,3) is

3 = -2 + c

The equation for a straight line is y=mx + c, where c is the height at which the line intersects the y-axis, also known as the y-intercept, and m is the gradient.

Since the equation of line is

y = mx + c

where m represents the slope

m = -1/4 (given)

and point for  which we have to find the equation is (8,3)

plugging each and every value in the equation

we get the equation of the line ,

           3 = -1/4 (8) + c

           3 = -2 + c

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The three inequalities are y ≤ 18 - x, x + y ≤ 1.50, and x > 4.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given that Rashaad has x dimes and y nickels having no less than 18 coins. The total amount is $1.50. The number of dimes is at least 4.

The inequalities formed by the given data are:-

y ≤ 18 - x,

x + y ≤ 1.50,

x > 4.

The graphical representation of the inequalities is shown in the attached graph below with the answer.

Therefore, the three inequalities are y ≤ 18 - x, x + y ≤ 1.50, and x > 4.

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For the given shirts and pants the cost of the 5 shirts and 2 pairs of pants will be $73.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that the shirts cost $9 each and the pants cost $12 a pair. They also charge $4 shipping and handling for each order. the cost of 5 shirts and 2 pairs of pants will be calculated as below:-

Cost = 9s + 12 p + 4

Cost = 9 ( 5 ) + 12 ( 2 ) + 4

Cost = 45 + 24 + 4

Cost = $73

Therefore, the cost of the 5 shirts and 2 pairs of pants will be $73.

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Answer: 75-30

Step-by-step explanation:

15(5-2)=

(15 * 5) - (15 * 2)=       ==> multiply 15 by 5 and 2

75-30

The required mass of the paper clips in the box is = 61.44 mg.

Given that,
mass of a paperclip = 8.0 × 10⁻⁴
Number of paperclip in the box = 7.68 × 10⁴
The total mass of the paper clips is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Mass of paperclips = 8.0 × 10⁻⁴ x 7.68 × 10⁴
Mass of paperclips = 61.44 * 10 ⁻⁴⁺⁴
Mass of paperclips = 61.44 * 10 ⁰
Mass of paperclips = 61.44 * 1

Thus, the required mass of the paper clips in the box is = 61.44 mg.

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