Wavelength varies inversely with frequency. Let k be the product of wavelength and frequency. Complete the table using the inverse variation relationship.

Answer:

Create a function representing number of published articles per month:

[tex]a=12m+60[/tex]

Where:

Now substitute in the values of m to get the a-value:

Answer:

Area: x^2+x-6

Perimeter: 4x+2

Step-by-step explanation:

Area: multiply x+3 and x-2 and combine the like terms

Perimeter: multiply the length and width by two, then combine the like terms.

Answer: -3 (option D) is the answer.

(-8)-(-5)= -8+5 = -3

Answer:

A) Histogram

Step-by-step explanation:

A) The first step would be to look at the purpose and use for each type of plotting method;

Dot Plot: Used to represent the distribution of data (for ex; #of Strawberries, Blueberries, and Raspberries.

Histogram: A histogram is used to summarize discrete or continuous data. In other words, it provides a visual interpretation of numerical data by showing the number of data points that fall within a specified range of values

Box Plot: Summerizes a set of data measured on an interval scale.

Best choice: Histogram- The reason why a histogram is the best representation of the student quartiles is because a histogram is used to summarize discrete or continuous data, and the given data is discrete

B)

To create your histogram you first have to create a frequency table like the one below;

On the vertical axis, place frequencies. Label this axis "Frequency".

On the horizontal axis, place the lower value of each interval. Label this axis with the type of data shown (Score, etc.)

Draw a bar extending from the lower value of each interval to the lower value of the next interval. The height of each bar should be equal to the frequency of its corresponding interval.

That's how it's done!

Answer:

this is only for part a: a histogram

Step-by-step explanation: a histogram is like a bar graph and instead of putting dots or X's just graph it its much easier

Step-by-step explanation:

soln no. k

LHS: cosø√1+cot^2ø

= cosø×cosecø

= cosø× 1/sinø

= cosø/sinø

= cotø

=√cosec^2-1. [: cot^2ø=cosec^2ø-1

according to equation

sending the (^2) will be

root over in another Sid]

= RHS proved

for number m take the help of the pic

Answer:

-50

Step-by-step explanation:

x / (-10) = 5

Multiply both sides by -10:

x = -50

Answer:

50

Step-by-step explanation:

50/10=5

[tex]50 \div 10 = 5 \\ [/tex]

Answer:

12 is the answer of this questions.

Step-by-step explanation:

Thank you for you question.

Answer:

56.57

Step-by-step explanation:

See attached photo for steps

EDIT: I forgot to add 3.14, I am so sorry

Answer:

56.52

Step-by-step explanation:

Answer:

I) 54.2 X 94 = 5094.8

J) 36.39 X 28 = 1018.92

K) 43.73 X 74.4 = 3253.512

Answer number 3. Since it's obvious in the picture.

Answer:

-2 and -1

Step-by-step explanation:

Thus ; from -1 we will move to -1.5,-2 moving to -2.5 and continuous

Answer:   B) 6

Explanation:

Segment BA is half as long as ZY, since BA is a midsegment.

This means ZY is twice as long as BA

ZY = 2*BA

2*BA = ZY

2*(x-1) = 10

2x-2 = 10

2x = 10+2

2x = 12

x = 12/2

x = 6

Note how this leads to BA = x-1 = 6-1 = 5, which is half as long as ZY = 10.

Answer:

x <9

Step-by-step explanation:

6(2x-11)<-3+5x

Distribute

12x -66 < -3+5x

Subtract 5x from each side

12x-5x -66 < -3+5x-5x

7x -66< -3

Add 66 to each side

7x-66+66<-3+66

7x<63

Divide by 7

7x/7 <63/7

x <9

Answer:

43.49

Step-by-step explanation:

let his normal hourly rate be x

16x+7x/2=848

39x/2=848

x=848 ÷ 39/2

=43.48717

Answer:

m<c = 104°

m<d = 80°

Step-by-step explanation:

Recall: Opposite angles of a cyclic quadrilateral are supplementary. Therefore, their sum equals 180°. Thus:

m<c + 76° = 180°

m<c + 76° - 76° = 180° - 76° (subtraction property of equality)

m<c = 104°

m<d + 100° = 180°

m<d +100° - 100° = 180° - 100° (subtraction property of equality)

m<d = 80°

Answer:          

.,.,.,.,.,.,.,.,.,.,.,.,.,.,.,.,.

.

.

2/5

Answer:

[tex] \frac{2}{5} [/tex]

Step-by-step explanation:

[tex] - 2\frac{4}{5} \div ( - 7)[/tex]

[tex] = \frac{2 \times 5 + 4}{5} [/tex]

[tex] = \frac{10 + 4}{5} [/tex]

[tex] = \frac{14}{5} [/tex]

[tex] = - \frac{14}{5} \times 7[/tex]

[tex] = \frac{14}{5} \div 7[/tex]

[tex] = \frac{2}{5} [/tex]

Answer:

f(-8) = 64

Step-by-step explanation:

Since x =-8, we need to use x^2 since -8 <0

(-8)^2 = 64

When x = -8 f(-8) = 64

Answer:

B

Step-by-step explanation:

There are 2 functions, one if x > 0 and one if x < 0

The x we are given is -8, and -8 is less than 0

Plug -8 into the function for if x < 0, which is x^2

(-8)^2=64

Step-by-step explanation:

Universal Set(U)={2,3,4...16}

M={2,4,6,8..16}[Even numbers between 2-16]

N={3,5,7...15}[Odd numbers between 2-16]

(PUM)'=U-(PUM)={2,3,4...16}-[{2,4,6,8..16}U{3,5,7...15}]={}

For shading, Shade the area outside the two circles but inside the square.

Answer:

27 inches

Step-by-step explanation:

We can use The Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

21.6 ^2 + 16.2^2 = c^2

466.56+262.44 = c^2

729 = c^2

Taking the square root of each side

sqrt(729) = sqrt(c^2)

27  = c

Answer:

D.

24x + 18y ≤ 225

x + y ≥ 10

Step-by-step explanation:

"He wants to frame no fewer than 10"

x + y ≥ 10

"and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18."

24x + 18y ≤ 225

Answer:

D.

24x + 18y ≤ 225

x + y ≥ 10

Answer: D.

24x + 18y ≤ 225

x + y ≥ 10

Step-by-step explanation: "He wants to frame no fewer than 10"

x + y ≥ 10

"and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18."

24x + 18y ≤ 225

Answer: D.

24x + 18y ≤ 225

x + y ≥ 10

Answer:

28 > x

Step-by-step explanation:

7>x/4

Multiply each side by 4

4*7 > x/4 *4

28 > x

Answer:

28 > x

Step-by-step explanation:

7>x/4

Multiply each side by 4

4*7 > x/4 *4

28 > x28 > x

Answer:

x = 60

2x = 120

2x + 30 = 150

2x - 30 = 90

Step-by-step explanation:

2x + 2x - 30 + 2x + 30 = 360

2x + 2x + 2x + 30 - 30 = 360

6x + 0 = 360

6x = 360

x = 360 / 6

x = 60

2x

= 2 x 60

= 120

2x + 30

= 120 + 30

= 150

2x - 30

= 120 - 30

= 90

Answer:

-4x^3 - 4y^2

Step-by-step explanation:

-5y^2 + 5 - 4 - 4y^2 + 5y^2 - 4x^3 - 1

= -4x^3 -4y^2

Answer:

1/6x = 9

x = 54

Step-by-step explanation:

Let x = number

1/6x = 9

Multiply each side by 6

1/6x * 6 = 9*6

x = 54

Answer:

1/6n = 9 ---> the equation

x = 54 ----> equation's answer

Step-by-step explanation:

The variable used can be either x or n, doesn't really matter.

It says 1/6th of a number is 9 --> write 1/6, n for the number, and then = 9

so, 1/6n = 9

Now, you are going to multiply each side by 6

1/6x * 6 = 9 * 6 --------> 54

x = 54

Answer:

B. 51

Step-by-step explanation:

first do inside the parenthesis

83 - 4 * (6-4)^3 = 83 - 4 * (2)^3

now multiply 4 and the third power of 2  (the third power of 2 is 2x2x2=8)

83 - 4 * (2)^3 = 83 - 32 subtract  and the answer is 51

Answer:

[tex]83 - 4 \times {(6 - 4)}^{3} \\ = 83 - 4 \times {(2)}^{3} \\ = 83 - 4 \times 8 \\ = 83 - 32 \\ = 51 \\ thank \: you[/tex]

Answer:

75.875m^2

Step-by-step explanation:

12-4=8

8x4=32

12x4=48

1/2(1.5+4)1.5=4.125

32+48-4.125=75.875

Answer:

40. A c=60

41 B z= 40

Step-by-step explanation:

The sum of the angles in a triangle is 180

40.  61+59+c = 180

Combine like terms

120+c = 180

c = 180-120

c =60

41.  90+50+z = 180

140 +z = 180

z = 180-140

z = 40

Answer:

5/12

Step-by-step explanation:

We know its a right angled triangle because of phythogorean theorem,

h^2=p^2+b^2

Take angle A as reference,

13^2=12^2+5^2

or,169=144+25

169=169

Now,

We know,

Tanx=p/b

As we took angle A as reference,

p=5

b=12

h=13

Put that in tanx=p/b

We get,

tanx=p/b=5/12

Answer:

Step-by-step explanation:

[tex]tan \ A = \frac{opposite \ side}{adjacent \ side}\\\\tan \ A = \frac{5}{12}[/tex]

Answer:

62 ft

i know its a late answer but i just did the test

If the length of ST is 62 feet the length of RS or the distance across a body of water will also be 62 feet.

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅. When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

It is given that the length of s ST is 62 feet and PS = PQ.

The measurements of the sides and angles of two or more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of corresponding sides and angles of two triangles are equal, they are said to be congruent.

Since the one angle in both triangles is 90° and the two sides are equal the two triangles are equal.

The ratio of the sides is equal if the triangle is congruent. As a result,

PS / PQ = RS / ST

1 = RS / ST

RS =  ST

RS = 62 feet

Thus, if the length of ST is 62 feet the length of RS or the distance across a body of water will also be 62 feet.

Learn more about the congruent triangle here:

brainly.com/question/12413243

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