boy can mow a lawn in 90 minutes and his sister can mow the same lawn in 60 minutes. how long will it take for both mowing at the same time to mow the lawn?

After the solution of the expression 3x/2-|x| ≤ 1 the interval notation is:

[tex]\left(-2, \frac{1}{2}\right] \cup(2, \infty)[/tex]

So, get x, by simplification of both sides of the inequality before isolating the variable.

Form of Inequality:

Interval notation:

(Refer to the graph diagram given below)

Therefore, after the solution of the expression 3x/2-|x| ≤ 1 the interval notation is:

[tex]\left(-2, \frac{1}{2}\right] \cup(2, \infty)[/tex]

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Please the image attached below to find the image by pure translation of the figure seen in the picture set aside.

In this problem we find a figure formed by eight vertices: (1, 3), (1, 4), (4, 4), (4, 3), (2, 3), (3, 3), (2, 1), (3, 1), each of which has to be modified by applying the translation vector (4, 5). Now we proceed to find the resulting coordinates:

(1, 3) + (4, 5) = (5, 8)

(1, 4) + (4, 5) = (5, 9)

(4, 4) + (4, 5) = (8, 9)

(4, 3) + (4, 5) = (8, 8)

(2, 3) + (4, 5) = (6, 8)

(3, 3) + (4, 5) = (7, 8)

(2, 1) + (4, 5) = (6, 6)

(3, 1) + (4, 5) = (7, 6)

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Answer:

Commutative Property

Step-by-step explanation:

Using the critical value, we should reject the null.

So,

Therefore, using the critical value, we should reject the null.

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As per kinematic theory, when any object is moving on a rough surface, the friction force will act on the surface. And the friction force is in the opposite direction to the motion of the object.

Using kinematic formulas, the acceleration speed can be calculated:

[tex]v^{2} = u^{2} +2as[/tex]

As per the given data,

The initial speed of the skater [tex](u) = 12m/s[/tex]

The width of the pitch on the rough ice [tex](s) = 7.0 mt[/tex]

The final speed of the skater [tex](v) = 6.0m/s[/tex]

Substituting these values in the kinematic formula, we get

[tex]a = \frac{v^{2}-u^{2} }{2s}[/tex]

[tex]a = \frac{6^{2}-12^{2} }{14}[/tex]

[tex]a=- 7.71 m/s[/tex]

Therefore the calculated acceleration on the rough ice is [tex]-7.71m/s[/tex]

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The cat ran 3 miles in one hour

A car runs 3/5 of a mile in 2/10

The number of miles ran in one hour can be calculated as follows

3/5= 2/10

x= 1

Cross multiply

2/10x= 3/5

x= 3/5 ÷ 2/10

= 3/5 × 10/2

= 3

Hence the car ran 3 miles in 1 hour

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The area of a circle as a function of its diameter is A(d) =  [tex]\frac{\pi d^2}{4}[/tex].

We have to find the area of a circle as a function of its diameter.

Let the diameter of the circle be d.

We know the formula,

Area of circle = [tex]\pi r^2[/tex]

Where,

r is the radius of the circle.

[tex]\pi[/tex]  = constant.

We know that,

Radius is equal to half the diameter of a circle.

Hence, we can write

r = d/2

Where d is the diameter of the circle.

Hence, we can write,

Area of circle as a function of its diameter = A(d) = [tex]\pi (\frac{d}{2})^2 = \frac{\pi d^2}{4}[/tex].

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The population mean pulse is approximately 70.44 beats per minute. The mean pulse of sample 1 is approximately 65 beats per minute.

The mean pulse of sample​ 2, is approximately 73.67 beats per minute.

a. mean = ∑x/n

= 634 / 9

= 70.44

b. The mean of sample 1

= 64 + 65 + 66 / 3

= 195 / 3

= 65

c. the mean of sample 2

= 81 + 67 + 73 / 3

= 221 / 3

= 73.67

In summary,  The population mean pulse is approximately 70.44 beats per minute. The mean pulse of sample 1 is approximately 65 beats per minute. The mean pulse of sample​ 2, is approximately 73.67 beats per minute.

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Complete question

Student

Pulse

Perpectual Bempah

64

Megan Brooks

81

Jeff Honeycutt

67

Clarice Jefferson

68

Crystal Kurtenbach

80

Janette Lantka

70

Kevin McCarthy

73

Tammy Ohm

65

Kathy Wojdya

66

(a) Determine the population mean pulse is approximately ____?__beats per minute.

​(Type an integer or decimal rounded to the nearest tenth as​ needed.)

​(b) Determine the sample mean pulse of the following two simple random samples of size 3.

Sample​ 1: {Perpectual, Tammy Kathy}

Sample​ 2: {Jeff, Megan, Kevin}

The mean pulse of sample 1 is approximately ___?___ beats per minute.

​(Round to the nearest tenth as​ needed.)

The mean pulse of sample​ 2, is approximately ____?__ beats per minute.

​(Round to the nearest tenth as​ needed.)

The equation of the line having slope = -1 and passing through a point (-3, 5) is y = -x + 2 and graph is given below.

The general equation of a line is y = m × x + c, where m is the slope and c is the y-intercept of the line.

Given slope is equal to -1.

Therefore the equation of the required line is y = (-1) × x + c.

Given that this line passes through the point (-3, 5).

Therefore we have 5 = (-1) × (-3) + c

⇒ 5 = 3 + c

⇒ 5 - 3 = c

⇒ 2 = c

⇒ c = 2

Therefore the y-intercept of the required line in cartesian coordinate form is (0, 2).

Therefore the required equation of the line is y = (-1) × x + 2

⇒ y = -x + 2.

Refer to the attached image for the graph of this line.

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Disclaimer: The question is not incomplete.

Assuming the following as the complete question.

Find the equation of the line having slope = -1, through point (-3,5) and also draw the graph of the line.

Answer:

24

Step-by-step explanation:

so edge length means you count how many cubic units you can see when looking from length width and height

since the edge length is four, you multiply that by 3 (length width and height are all 4)  and that would be 12

since there are two you do two times 12= 24 (im not 100% sure cuz I haven't learned this yet)

Here is the completed table:

Name of the food                         Price with 15% profit

Apple (whole)                                    $9.20

Banana  (whole)                                 $8.34

Chocolate  (whole)                             $6.90

Chocolate chip ( 1 dozen)                   $5.46

Oatmeal ( 1 dozen)                               $5.75

Pecan  (whole)                                       $11.50

Pumpkin  (whole)                                    $13.80

Snickerdoodle  ( 1 dozen)                       $4.89

Vanilla  (whole)                                      $5.18

Percentage is used to represent statistics. Percentage means to rewrite a number per hundred. To convert a number to percentage, multiply the number by 100. The sign that is used to represent percentage is %.

Profit is the excess of the cost of production over the price at which the good is sold.

Profit = ( 1 + targeted profit) x cost

= (1 + 0.15) x cost

1.15 x cost

Profit on Apple (whole) = 1.15 x 8 = $9.20

Profit on Banana  (whole) = 1.15 x 7.25 = $8.34

Profit on Chocolate  (whole) = 1.15 x 6 = $6.90

Profit on Chocolate chip ( 1 dozen) = 1.15 x 4.75 = $5.46

Profit on Oatmeal ( 1 dozen) = 1.15 x 5 = $5.75

Profit on Pecan  (whole) = 1.15 x 10 = $11.50

Profit on Pumpkin  (whole) = 1.15 x 12 = $13.80

Profit on Snickerdoodle  ( 1 dozen)= 1.15 x 4.25 =$4.89

Profit on Vanilla  (whole) = 1.15 x 4.5 = $5.18

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The equation is | x - 4 | = 3

Here, we are given that x represents all numbers that are at a distance of 3 units from 4.

Now, the distance of x from 4 can be in the positive direction or in the negative direction.

This can be represented by an absolute value function as follows-

| x - 4 | = 3

we can check our result by solving the given equation

| x - 4 | = 3 can be written as-

x - 4 = 3  or  -x + 4 = 3

x = 7 or x = 1

Both, x = 1 and 7 are at a distance of 3 units from 4.

Thus, | x - 4 | = 3 is the absolute value function.

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Answer:

a) X= 13

b) already answered

c) 18

d) 2

The dependent variable in a study, also known as the response variable, is affected by the independent variables.

What is a variable?
A variable is a sign and placeholder for any mathematical object (from the Latin variabilis, "changeable") in mathematics. A variable can, for example, represent a number, a vector, a matrix, a function, the argument of a function, a set, or a set's component.

Numerous issues are resolved in a single computation by using variables in algebraic calculations as if they were explicit integers. For instance, by exchanging the variables that represent them in the quadratic formula with the numerical values of the coefficients in any given quadratic equation, the quadratic formula may solve any quadratic equation. A variable in mathematical logic is either a symbol for an undefined term in the theory or an undefined phrase itself (a meta-variable).

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We'll observe that the evaluated expression equals 244 in the next step.

To evaluate an expression, we only need to swap out the variables with the desired values.

When x = 5 x = 5 x=5, you can be asked to "Evaluate 3 x 3x 3x." In the formula 3 x 3x 3x, take note of the proximity of the number 3 to the variable x. This denotes "x times three."

Here, we must assess:

2(s+t)³-6

By substituting them in the formula for t = 2 and s = 3, we obtain:

2(3+2)³- 6

= 2*(5) (5)³ - 6

= 2*125 - 6

= 244

Consequently, the evaluated expression equals 244.

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The solution of the system of the equations is gotten using substitution method and the values of the unknown are x = -8 and y = - 4

Given data

x + 5y = -28

-x + y = 4

From -x + y = 4

step 1 make y the subject of formula to have

y = 4 + x

step 2 substitute y = 4 + x into the equation x + 5y = -28

x + 5y = -28

x + 5 ( 4 + x) = -28

x  + 20 + 5x = -28

x + 5x = -28 - 20

6x = -48

x = -8

step 3 substitute x = -8 into  y = 4 + x

y = 4 + x

y = 4 - 8

y = - 4

Hence we can say that The solution of the system of the equations is gotten using substitution method and the values of the unknown are x = -8 and y = - 4

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Answer:

C=36

Step-by-step explanation:

Answer:

c = 36

Step-by-step explanation:

so our equation is 21 = 5/6c - 9

first we need to get rid of the 9. in order to do this, we have to do the opposite of the action shown. so in this case, we would add 9 to both sides. we add it to both sides to keep the equation balanced and equal.

adding 9 to 21 gives us 30. so our equation would then be 30 = 5/6c

now we need to get the c by itself. so we divide by 5/6 because in the original equation the 5/6 and the c are being multiplied to each other.

when we devide 5/6c by 5/6, it cancels out. leaving us with c. 30 divided by 5/6 will in turn gives 36. and there is your answer.

The side length of rug is 6.16 ft which is not a rational number.

Area of square rug = 38 ft square

Area of square = side * side

area of square = area of square rug

side*side=38

(side)^2= 38

side=√38

side=6.16

Hence, The side length of rug is 6.16 ft which is not a rational number.

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Answer:

3.5/5x12=8.4

Step-by-step explanation:

The Red Savina Habanero is hotter than the Thai Pepper with a number of 6. 1 times

A ratio can be defined as the comparison of two or more numbers on the basis of  their sizes in relation to each other.

It also indicates how many times one number contains another.

Given that;

To determine the ratio, we have to divide Red Savina Habanero hotness rating by Thai Pepper  hotness rating

=  4.6 x 10^5 /  7.5 x 10^4

= 6. 1 times

Thus, the Red Savina Habanero is hotter than the Thai Pepper with a number of 6. 1 times

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The equation of a line that passes through the point ( − 18 , 2 )with slope 1 will be

y=x+20

equation of a line that passes through the point ( x₁ ,y₁ )with slope m is

y-y₁ = m(x-x₁)

y-2=1(x-(-18))

y-2=x+18

y=x+20

coordinate geometry is a system that makes use of one or greater numbers, or coordinates, to uniquely determine the placement of the factors or other geometric factors on a manifold inclusive of Euclidean space.

The order of the coordinates is full-size, and they may be once in a while diagnosed through their function in an ordered tuple and sometimes via a letter, as in "the x-coordinate".

The coordinates are taken to be actual numbers in basic arithmetic, however may be complicated numbers or elements of a extra abstract system together with a commutative ring. the usage of a coordinate device permits troubles in geometry to be translated into issues approximately numbers and vice versa; that is the idea of analytic geometry

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Answer:

True, True, False, False, True

Step-by-step explanation:

X, Y, and Z are on the same line.

Point W is on line I, not line M.

YW and YD aren't on the same line.

YX and YZ are on the same line.

The volume of the spherical dome will be 12.9π cubic feet when the surface area of the dome is 13.924π.

The volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space. The dome is the shape of a semi-sphere the volume of the dome will be half of the volume of the sphere.

Given that the Reunion Tower in Dallas, Texas, is topped by a spherical dome that has a surface area of approximately 13,924π square feet.

The volume of the dome will be calculated as below:-

SA = 13.924π

2πr² = 13.92π

r = √6.96

r = 2.63 feet

Volume = 2 / 3 πr³

Volume = ( 2 / 3 ) π ( 2.63)³

Volume = 12.24π cubic feet

Therefore, the volume of the spherical dome will be 12.9π cubic feet.

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B. Statement: 2. m 1 + m 4 = 180°; Reason: 2. definition of supplementary angles. Angle 1 and angle 3 are vertically opposite angles because, for this reason, they are equal.

Given details in the question are as follows:

Two lines are interesting to each other at one point and make 4 angles which are as follows: Angle 1,2,3,4

If two lines intersect at a point, then the vertically opposite angles are always equal.

When two lines intersect at any point, the vertically opposite angles are equal and are known as the vertically opposite angles.

This is because any two pairs of adjacent angles will be supplementary pairs.

B. Statement: 2. m 1 + m 4 = 180°; Reason: 2. definition of supplementary angles

A linear pair is a pair of adjacent, supplementary angles. Adjacent means next to each other, and supplementary means that the measures of the two angles add up to equal 180°

Supplementary angles are two angles whose measures add up to 180 degrees.

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Answer:

[tex]8\left(u-v\right)^2-8\left(u-v\right)[/tex]

Step-by-step explanation:

[tex]\left(u-v\right)\left(u-v\right)=\left(u-v\right)^2\\\left(u-v\right)^2\cdot \:8-8\left(u-v\right)\\=8\left(u-v\right)^2-8\left(u-v\right)[/tex]

➲ Hope this helps.

➲ Notify me of any concerns.

Answer:

the one with the answer -10

Step-by-step explanation:

Answer:

So you do -8 + -2 which equals -10. it is the 3rd answer

Step-by-step explanation:

Answer:

A. By the time Grandma arrives, Chloe will have cleaned her room.

Step-by-step explanation:

<3

Answer:

D. Caleb felt calm because he knows the solution to his problem.

Step-by-step explanation:

In the sentence "Caleb felt calm because he knows the solution to his problem.", 'felt' and 'knows' are the verbs. Both of these verbs describe Caleb in one situation, so they have to be in the same tense.