Write the contrapositive statement of the following:

If it is not Thursday, then I did not have salad for lunch.

Answer:

all of the following are radi except ij or ji the other two are right

Step-by-step explanation:

Answer:

Step-by-step explanation:

Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own.

But these things will change direction of the inequality: ...

Don't multiply or divide by a variable (unless you know it is always positive or always negative)

Cute Root: C

Exponential: D

Logarithmic: A

A function assigns the value of each element of one set to the other specific element of another set. The options can be matched with the function as C, D, and A, respectively.

A function assigns the value of each element of one set to the other specific element of another set.

The function of different functions is mentioned below.

Hence, the options can be matched with the function as C, D, and A, respectively.

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You can use Pythagoras theorem as it is a right angle

a^2 + b^2 = c^2

where 'c' is the hypotenuse

Rearrange this to find a side length

c^2 - a^2 = b^2

where 'b' is the missing length

10^2 - 8^2 = b^2

100 - 64 = b^2

b^2 = 36

Square root this to get the answer

b = 6cm

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Answer:

C) 32 mpg

This is because to get his miles per gallon,

We divide 634 miles by 19.8 miles to give us 32.0202020....... rounded to 32 mpg

Answer:

the interger would be 15 because you earn 15 so therfore it would be 15.

Step-by-step explanation:

Answer: log n = 4log2

Step-by-step explanation:

The 4th option is correct. The expression [tex]\log n=4(\log 2)[/tex] is equivalent to the given expression.

Important information:

We need to find the equivalent equation.

Using the property of logarithm, the given expression can be written as:

[tex]\dfrac{\log n}{\log 2}=4[/tex]           [tex]\left[\because \log_ab=\dfrac{\log b}{\log a}\right][/tex]

[tex]\log n=4(\log 2)[/tex]

Thus, the 4th option is correct.

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Answer:

Width = 139.445 ft and Length = 1721.11 ft or

Width = 860.555 ft and Length = 278.89 ft

Step-by-step explanation:

If the school has a rectangular shape, we have that its perimeter and area are:

Perimeter = 2*Length + 2*Width

Area = Length * Width

If we just want to cover 3 sides of the school, we can affirm that:

2000 = Length + 2*Width (eq1)

And the area is 240,000 ft2, so:

240000 = Length * Width (eq2)

From (eq1), we have that:

Length = 2000 - 2*Width

Using this value in (eq2), we have:

240000 = (2000 - 2*Width) * Width

240000 = 2000*Width - 2*Width^2

Width^2 - 1000*Width + 120000 = 0

Using Bhaskara's formula, we have:

Delta = 1000^2 - 120000*4 = 520000

sqrt(Delta) = 721.11

Width1 = (1000 + 721.11)/2 = 860.555 ft

Width2 = (1000 - 721.11)/2 = 139.445 ft

If we use Width = 139.445 ft, we will find Length = 1721.11 ft

If we use Width = 860.555 ft, we will find Length = 278.89 ft

Both pairs of dimensions are valid answers, as they would use 2000 feet of gate and the area of the school would be 240,000 ft2

Answer:

[tex] 2 \frac{2}{3} [/tex]

Step-by-step explanation:

[tex] - 2 \frac{1}{3} - ( - 5) = - \frac{(6 + 1)}{3} + 5 \\ \\ = - \frac{7}{3} + 5 \\ \\ = - \frac{7}{3} + \frac{15}{3} \\ \\ = \frac{ - 7 + 15}{3} \\ \\ = \frac{8}{3} \\ \\ = 2 \frac{2}{3} [/tex]

Answer:

b. x = -2

Step-by-step explanation:

x - 8 = -10

x = -10 + 8

x = -2

Answer:

Step-by-step explanation:

Since the length of both legs of the right angle triangle are given, we would determine the hypotenuse, h by applying Pythagoras theorem which is expressed as

Hypotenuse² = one leg² + other leg²

Therefore,

h² = (3a)³ + (4a)³

h² = 27a³ + 64a³

h² = 91a³

Taking square root of both sides,

h = √91a³

The formula for determining the perimeter of a triangle is expressed as

Perimeter = a + b + c

a, b and c are the side length of the triangle. Therefore, the expression for the perimeter of the right angle triangle is

√91a³ + (3a)³ + (4a)³

= √91a³ + 91a³

Answer:

9x-y+9

Step-by-step explanation:

so what you do first is combine -14y and 13 y and you get -y

Answer:

Is a tangent

Step-by-step explanation:

~ By definition, a tangent to circle is a straight line, presently perpendicular to a radius if one. In this case tangent AB should be perpendicular to the radius. If we were to call the center O, we would say AB should be perpendicular to OA. ~

1. Now let us say at the moment that AB is a tangent. If that is so, it should be that m∠A = 90 degrees ( ° ), provided AB is ⊥ to OA by definition.

2. Now the triangle ABO is a right triangle, and with that is should be that Pythagorean Theorem is applied. This can help us prove if AB is a tangent or not. If Pythagorean Theorem is not applicable it would mean ABO is not a right angle triangle, that AB is not ⊥ to OA, and thus can't be a tangent.

3. Let us say x ⇒ side OA, and that side BO = 9 + 8 + 17:

AB^2 + OA^2  =  BO^2,

15^2 + x^2 = 17^2,

x = 8

4. Now there are two radii present, OA is only one of them. As radii are ≅, OA = other radii, 8 = 8

5. This proves that Pythagorean Theorem is applicable, that ABO is a right triangle, that m∠A = 90°, and that by definition AB is a tangent

* I have already answered this question before *

============================

Work Shown:

12*sin(2pi/5*x)+10 = 16

12*sin(2pi/5*x) = 16-10

12*sin(2pi/5*x) = 6

sin(2pi/5*x) = 6/12

sin(2pi/5*x) = 0.5

2pi/5*x = arcsin(0.5)

2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n

2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n

x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)

x = 5/12+5n or x = 25/12+5n

these equations form the set of all solutions. The n is any integer.

--------

The two smallest positive solutions occur when n = 0, so,

x = 5/12+5n or x = 25/12+5n

x = 5/12+5*0 or x = 25/12+5*0

x = 5/12 or x = 25/12

--------

Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.

Answer:

a

Step-by-step explanation:

12sin(⅖pi x) + 10 = 16

sin(⅖pi x) = 6/12

⅖pi x = sin^-1(½)

⅖pi x = pi/6, pi - pi/6

⅖pi x = pi/6, 5pi/6

x = 5/12, 25/12

Answer:

0.27

Step-by-step explanation:

To solve this problem, we will use Set Theory Approach to Probability.

Let U = the Sample Space which consists of all possible tests.

Of course U = {1,2,3 .... ,30}

So, no elements in that.

U = n = 30

Let Q = the event bearing a multiple of 4 No winning ticket, and,

R = the case that has the No. 19 winning ticket

∴

Q  = { 4,  8, 12 , 16 , 20, 24 , 28} ,  and

R  = {19} , so that

Q ∩ R  = ϕ

P(Q ∩R ) = 0

As, n(Q) = 7 , n(R) = 1  , we have,

P (Q) = [tex]\frac{n (A)}{n(U)}[/tex] = [tex]\frac{7}{30}[/tex],  and P (R) = [tex]\frac{1}{30\\}[/tex]

P (Q∪R) = P(Q ) + P(R) − P(A∩B) = [tex]\frac{7}{30}[/tex] +  [tex]\frac{1}{30\\}[/tex] − 0 = [tex]\frac{8\\}{30\\}[/tex]

≅ 0.27 .

Answer:

A.) 1/3

B.) 1/6

C.) 1/2

D.) 0

Step-by-step explanation:

Total number of faces on spinner = 6

Probability = (required outcome / Total possible outcomes)

A)

P(spinning Red):

n(Red) / n(total)

n(red) = 2, n(total) = 6

P(spinning red) = 2/6 = 1/3

B.)Spinning a 1 :

n(1) = 1

Therefore, P(spinning 1) = 1/6

C.) spinning an odd number :

Odd numbers = 1,3,5

P(spinning an odd number) = 3/6 = 1/2

D.) spinning a 9:

9 isn't a number on the wheel

P(spinning a 9) = 0/6 = 0

Answer:

The true statements

Step-by-step explanation:

lol

Answer:

Step-by-step explanation:

Consider a utlity bill which shows a minimum initial cost plus variable costs dependent upon how many units are sold.

Then:  total cost ≥ (fixed cost) + (unit cost)(number of units sold)  

This involves the "equal to or greater than" concept.

Answer:

Error: +3x should be -3x

x should equal 3

Step-by-step explanation:

In this problem, you have to pay attention how values are transferred from one side to the other. This includes paying attention t the signs.

In 3x + 4 = 8x - 11, you want to try an keep all the values positive

      3x   +   4   =   8x  -   11

    - 3x                - 3x

                  4   =   5x  -   11

                 +11               +11      <--This part of the equation was correct.

                  15  =  5x

                  /5       /5   <--This part of the equation should result in dividing by 5

                  3   =  x

Hope this helps!

Answer:

6

Each Person should get 6 marbles

Step-by-step explanation:

edg2020

Answer: The answer is 60p.

Step-by-step explanation:

1) You first simplify what is in parenthesis.

         (6p+9p) = (15p)

2) Next, you multiply (15p) by 4.

        4(15p) = 60p

3) You simplified the expression of

        4(6p+9p) to 60p.

Answer:

1/4, or 4 times smaller

Step-by-step explanation:

Since the surface area of a cube is just the combination of the area of all of the square sides, and the formula for those is s^2, if the side length was decreased by 1/2 then the surface area would decrease by (1/2)^2=1/4. Hope this helps!

Answer:

Step-by-step explanation:

total marbles=11+4=15

plastic yellow marbles=4/2=2

P=(plastic marbles)/(total marbles)=2/15

Answer:

2/15

Step-by-step explanation:

11+4 = 15 marbles

Half of the yellow marbles are made of plastic = 2 plastic yellow marbles

P(yellow plastic marbles) = number of yellow plastic marbles / total

                                          =2/15

Answer:

Its letter B.

Step-by-step explanation:

on edge 2021

The y-intercept of the quadratic function f(x) = (x-6)(x-2) is (0,12).

Given,

f(x) = (x-6)(x-2)

We need to find the y-intercept of this given function f(x).

The point at the y-axis where the function passes through is called the y-intercept.

We take x = 0 for finding y-intercept.

We have,

f(x) = (x-6)(x-2)

Let f(x) = y.

y = (x-6)(x-2)

Put x = 0 in y.

y = (0-6)(0-2)

y = -6 x -2 = 12.

The y-intercept is at 12 on the y-axis and we represent it as (0, 12).

Thus the y-intercept is (0,12).

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Answer:

see below

Step-by-step explanation:

1/2 + 4/6

Get a common denominator of 6

1/2 * 3/3 = 3/6

3/6 + 4/6 = 7/6

We change back to a mixed number

1  1/6

Answer:

7/6 or 1 1/6

Step-by-step explanation:

In this case, you're adding 1/2 plus 4/6.

One strategy you can use to solve this problem is by getting the common denominator.

1/2 is equal to 3/6.

Then you could add 3/6 to 4/6 and you'll get 7/6.

Now depending on the teacher they might want you to have an improper fraction or mixed number.

You can get this mixed number by dividing 7/6 which equals 1 1/6.

Hope this helped :)

Answer:

1 infinity

2 one

3 no

4 one

5 infinity

Step-by-step explanation:

The trip will take 3 days and 3 hours to complete.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Mr. Tram was planning his trip from Dallas, TX to Detroit, MI.

He knows that the total distance he needs to cover is 1620 km. He usually drives at a speed of 60 km per hour.

That means, the total time,

= 1620/60

= 27 hours.

He is willing to drive up to 8 hours per day.

The trip will take 27/8 = 3 days and 3 hours.

Therefore, the trip will take 27/8 = 3 days and 3 hours.

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Answer: $5

Step-by-step explanation: The interquartile range (IQR) refers to the difference between the upper(75%) quartile and lower(25%) quartile of a distribution. Hence, ensuring that the middle 50% is being captured. With the average given as $60, having a interquartile range capturing the middle 50% as $1 seems so small from a statistical stand point. Similarly, an interquartile range of $100 capturing the middle 50% is also too large and nearly impossible if the average price is $60. However, a price of $5 sit well in between considering the average price of $60

Answer:

Step-by-step explanation:

Givens

Based on the given information, we can form the following equations.

[tex]b=\frac{1}{2}s[/tex]

Where [tex]b[/tex] is the brush and [tex]s[/tex] is the sketchbook.

[tex]s=\frac{3}{4}p[/tex]

Where [tex]p[/tex] is paint set.

Now, the sum of all three items would give $1.50 of leftover.

[tex]p+b+s=35.25-1.50[/tex]

Replacing expressions, we have

[tex]p+\frac{1}{2}s+\frac{3}{4}p=30.75\\ \frac{7}{4}p +\frac{1}{2}(\frac{3}{4} p)=30.75\\\frac{7}{4}p+\frac{3}{8}p=30.75\\ \frac{56p+12p}{32}=30.75\\ 68p=984\\p=\frac{984}{68}=14.50[/tex]

Then, we use this value to find the other variables

[tex]s=\frac{3}{4}(14.50)=10.88[/tex]

[tex]b=\frac{1}{2}(10.88)=5.44[/tex]

Therefore, the brush cost $5.44, the sketchbook cost 10.88 and the paint set cost 14.50, approximately.

Answer: paint set costs $18

sketchbook costs $13.5

Brush costs $2.25

Step-by-step explanation:

Let x represent the cost of the paint set.

The sketchbook cost 3/4 the cost of the paint set. It means that the cost of the sketchbook is

3/4 × x = 3x/4

The brush was 1/6 as much as the sketchbook. It means that the cost of the brush is

1/6 × 3x/4 = 3x/24 = x/8

Audrina brought $35.25 to the art supply store. If Audrina had $1.50 leftover after buying these items, it means that the amount spent on the items is

35.25 - 1.5 = 33.75

Therefore,

x + 3x/4 + x/8 = 33.75

Multiplying through by 8, it becomes

8x + 6x + x = 270

15x = 270

x = 270/15

x = 18

The cost of the sketchbook is

(3 × 18)/4 = 13.5

The cost of the brush is

1/8 × 18 = 2.25