find the domain of f(x)=sec(2x)

Answer:

34 is greater than or equal to z which is greater than or equal to 30

Answer: [tex]1456\ ft^2[/tex]

Step-by-step explanation:

Given

Length of whole fence is 155 feet

If the length of rectangle is 45.5 ft

Suppose width is w

Length of whole fence is perimeter which is given by

[tex]\Rightarrow 155=2(45.5+w)\\\Rightarrow 77.5=45.5+w\\\Rightarrow w=32\ ft[/tex]

Area of the rectangle is given by the product of length and width

[tex]\Rightarrow A=lw\\\Rightarrow A=45.5\times 32\\\Rightarrow A=1456\ ft^2[/tex]

Thus, total area of pasture is [tex]1456\ ft^2[/tex]

Answer:

6:9 ÷3

2:3

Step-by-step explanation:

1st write the ratio then simplify it with dividing with the Highest common factor on both sides

Given:

The dotted boundary line passes through the points (-3,-8), (1,-2) and (9,10).

Above line is shaded.

To find:

The inequality for the given graph.

Solution:

Consider any two points on the line. Let the two points are (1,-2) and (9,10). So, the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-(-2)=\dfrac{10-(-2)}{9-1}(x-1)[/tex]

[tex]y+2=\dfrac{10+2}{8}(x-1)[/tex]

[tex]y+2=\dfrac{12}{8}(x-1)[/tex]

[tex]y+2=\dfrac{3}{2}(x-1)[/tex]

Multiply both sides by 2.

[tex]2(y+2)=3(x-1)[/tex]

[tex]2y+4=3x-3[/tex]

[tex]2y-3x=-3-4[/tex]

[tex]-3x+2y=-7[/tex]

Above line is shaded and the boundary line is a dotted line. So, the sign of inequality must be >.

[tex]-3x+2y>-7[/tex]

This inequality is not in the equations. So, multiply both sides by -1 and change the inequality sign.

[tex](-3x+2y)(-1)<-7(-1)[/tex]

[tex]3x-2y<7[/tex]

Therefore, the correct option is D.

Answer:

[tex]h = 6 + 11 - 22 \\ h = 17 - 22 \\ h = - 5[/tex]

Answer:

-5

Step-by-step explanation:

6+11 = 17↓

17-22 = -5

or

11-22 = -11↓

-11+6 = -5

Answer:

[tex]f(0) = 6[/tex]

Step-by-step explanation:

Given

See attachment for table

Required

Determine [tex]f(0)[/tex]

From the table;

[tex]f(x) = 6[/tex] when [tex]x =0[/tex]

So:

[tex]f(0) = 6[/tex]

Answer:

m = 5/4

y intercept = -3

Step-by-step explanation:

The given equation of the line is ,

[tex]\implies y = \dfrac{5}{4}x -3[/tex]

We know that the Standard equation of Slope Intercept Form of the line is,

[tex]\implies y = mx + c[/tex]

Where ,

On comparing to the Standard form of the line we get ,

[tex]\implies Slope = \dfrac{5}{4}\\[/tex]

[tex]\implies y - intercept= -3 [/tex]

general slope intercept form of a straight line is, y = mx + c

Slope of the line (m) = 5/4,

y-intercept of the line if when x=0 i.e.

y = 5/4x - 3

y = 5/4×0 - 3

y = -3

Answered by GAUTHMATH

Answer:

(8,2.40)

Step-by-step explanation:

Answer:

f=x−32

Step-by-step explanation:

Subtract 3232 from both sides.

Answer:

f=32.2m

Step-by-step explanation:

got it right on edge

[tex]\displaystyle\bf \boxed{V=abh \ ; \ 1dm^3=1litre=1000cm^3} \\\\a=12cm \ ; \ b=8 cm ;\: h_1=7 \; ; \ h_0=h_1+h_2=?\\\\abh_2=1,2litre=1,2dm^3\ = 1200cm^3\\\\ 8\cdot 12 h_2=1200\\\\h_2=12.5 cm\: then \\\\h_0= 7+12,5=19,5 \\\\Answer : the \ height \ of \ the \ tank \ is \ 19,5 cm[/tex]

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

Explanation:

The volume of a rectangular block is V = L*W*H. So we multiply the length L, width W and H.

For the smaller rectangular block, up to the water level shown, we have a volume of V = L*W*H = 12*8*7 = 672 cubic cm

Since 1000 cm^3 represents 1 liter, this means the tank has 672/1000 = 0.672 liters of water already.

Add on another 1.2 liters of water to get to 1.2+0.672 = 1.872

Therefore, the full tank's capacity is 1.872 liters

This converts to 1.872*1000 = 1872 cm^3

--------------------------------------------

The largest rectangular block has volume 1872 cm^3

We know the length and width (along the bottom) is L = 12 and W = 8 respectively. The height is unknown, but we can solve for it like so

V = L*W*H

L*W*H = V

12*8*H = 1872

96H = 1872

H = 1872/96

H = 19.5

The height of the tank is 19.5 cm

Answer:

2). The cost of the trash cans and plastic bags.

Step-by-step explanation:

As per the details provided, the information regarding 'the cost incurred on buying the trash cans, as well as, plastic bags for the cleanup process' is very necessary to find the money left with the drama club from their earnings. The amount they earned within the day is given and the amount left is being asked in the question post the expenditure of the cans and plastic bags for the cleaning process. To subtract the incurred expense from the total earnings, one will need information regarding the cost of those bags and cans. Thus, option 2 is the correct answer.

Answer:

A=2

B=8

C=-38

X=2.8/X=-6.8

Step-by-step explanation:

Answer:

The probability that this occurs is 25%, as 3/6 (chance to roll an odd number) multiplied by 1/2 (chance to flip a head) is .25.

Step-by-step explanation:

Answer:

I think its 43%

Explanation

math

The probability of Pier choosing a boy is 0.43 or 43%.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The total number of students in the class is:

13 boys + 17 girls

= 30 students

The probability of Pier choosing a boy is the number of boys in the class divided by the total number of students:

Probability of choosing a boy.

= number of boys / total number of students

Probability of choosing a boy.

= 13 / 30

Probability of choosing a boy.

= 0.4333 or approximately 0.43

Therefore,

The probability of Pier choosing a boy is 0.43 or 43%.

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Step-by-step explanation:

C. represent the number line for x

where x ix

Answer:

a = 1

b = 3

c = 1

d = 2

e = 6

f = 8

Step-by-step explanation:

found the answer on socratic and brainly

The values of the exponential functions, a, b, c, d, e and f are 1, 3, 1, 2, 6, 8 respectively.

Exponential function is defined as a mathematical function which is written in the form f(x) = aˣ where a is a constant called base of the function and x is a variable. It is used to find the exponential growth or decay of a given data.

Here,

(a) Value of x = 0

   So, a = 2ˣ = 2⁰

     a = 1

(b) Value of x = 0

   So, b = 3 * 2ˣ

       b = 3 * 1

       b = 3

(c) Value of x = 0

    c = 2³ˣ = 2⁰

    c = 1

(d) Value of x = 1

    d = 2ˣ = 2¹

    d = 2

(e) Value of x = 1

     e = 3 * 2ˣ

     e = 3 * 2¹ = 3 * 2

     e = 6

(f) Value of x = 1

    f = 2³ˣ = 2³

    f = 8

Hence,

The values of the exponential functions, a, b, c, d, e and f are 1, 3, 1, 2, 6, 8 respectively.

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Answer:

36 spuare units

Step-by-step explanation:

A= 1/2 b*h

b=8

h=9

A=1/2(8*9)

A=1/2(72)

A=36

[tex]\displaystyle\ \Large\boldsymbol p^q=16 \ \ then \\\\ 1) p=2 \ ; \ q=4 \Longrightarrow q^{pq}=4^{2\cdot 4}= 4^{8}=65536 \\\\\\2) p=4 \ ; \ q=2\Longrightarrow q^{pq}=2^{4\cdot2} =256[/tex]

Answer:

[tex]gradient = - \frac{1}{3} \\ { \tt{equation \: is \: y = - \frac{1}{3}x + 3 }}[/tex]

Answer:

The equation of a perpendicular line to  

y =( -1/3 )x+b (b is a normal number)

Step-by-step explanation:

1.Use the slope-intercept form to find the slope.

Tap for more steps...

m = 3

2. the perpendicular line to y=3x+3

must have a slope that is the negative reciprocal of the original slope.

thus,

m perpendicular  =  −1/3

Answer:

4/7 as a decimal is 0.57142857142857.

Answer:

Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data into this table.

Ice Cubes 4 2 3 5 5 3 1

Juice (milliliters) 177 234 202 140 155 210 265

She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing the milliliters of juice. Then she used the graphing tool to find the equation of the line of best fit:

y = -29.202x + 293.5.

Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice

Step-by-step explanation:

Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice.

Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data into this table.

Ice Cubes             4        2      3        5       5      3        1

Juice (milliliters)  177    234   202   140   155   210   265

She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing the milliliters of juice. Then she used the graphing tool to find the equation of the line of best fit:

y = -29.202x + 293.5.

A line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points. Statisticians typically use the least-squares method to arrive at the geometric equation for the line, either through manual calculations or regression analysis software.

Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice.

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Answer:

7 and 13

Step-by-step explanation:

let the 2 numbers be x and y , x > y , then

x = y + 6 → (1)

[tex]\frac{1}{4}[/tex] (x + y) = y - 2 ( multiply both sides by 4 to clear the fraction )

x + y = 4y - 8 ( subtract 4y from both sides )

x - 3y = - 8 → (2)

Substitute x = y + 6 into (2)

y + 6 - 3y = - 8

- 2y + 6 = - 8 ( subtract 6 from both sides )

- 2y = - 14 ( divide both sides by - 2 )

y = 7

Substitute y = 7 into (1)

x = 7 + 6 = 13

The 2 numbers are 7 and 13

Answer:

B. center ( -3,2) ; radius 3

Answer:

The choose (A)

central (3,-2) , radius 3

Answer:

3/2 liters/minute

Step-by-step explanation:

Divide 11/15 liters by 22/45 minutes:

 11

------

 15

-----------

 22

-----

 45

This is equivalent to:

11      45

----- * -----  =  3/2 (liters/min)

15      22

The flow rate of the pipe is 3/2 (or 1.5) litres per minute.

To calculate the flow rate of the pipe, we divide the volume of water (in litres) by the time taken (in minutes).

Given:

Volume of water = 11/15 liters

Time taken = 22/45 minutes

Flow rate = Volume / Time

Flow rate = (11/15) liters / (22/45) minutes

To divide by a fraction, we multiply by its reciprocal:

Flow rate = (11/15) x (45/22) liters/minutes

Simplifying the expression:

Flow rate = 495/330 litres/minutes

The fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 165 in this case:

Flow rate = (495/165) / (330/165) litres/minutes

Flow rate = 3/2 liters/minutes

Therefore, the flow rate of the pipe is 3/2 (or 1.5) litres per minute.

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Answer:

2.39

Step-by-step explanation:

Convert everything to a decimal.  

To do that with a fraction divide the numerator by the denominator.  

185 divided by 100 = 1.85

185/100 = 1.85

To convert a percent to a decimal divide the number by 100.

50 divided by 100 = 0.5

50/100 = 0.5

4 divided by 100 = 0.04

4/100 = 0.04

Now add:

1.85 + 0.5 + 0.04 = 2.39

Answer:

Step-by-step explanation:

Given:

Geometric mean of two digit = √ab

Answer 1;

Geometric mean of [8,18] = √(8)(18)

Geometric mean of [8,18] = √144

Geometric mean of [8,18] = 12

Answer 2;

Geometric mean of [3,7] = √(3)(7)

Geometric mean of [3,7] = √21

Geometric mean of [3,7] = 4.58

Answer 3;

Geometric mean of [5,8] = √(5)(8)

Geometric mean of [5,8] = √40

Geometric mean of [5,8] = 6.32

Answer 4;

Geometric mean of [8,4] = √(8)(4)

Geometric mean of [8,4] = √32

Geometric mean of [8,4] = 5.65

Answer 5;

Geometric mean of [6,3] = √(3)(6)

Geometric mean of [6,3] = √18

Geometric mean of [6,3] = 4.24

Answer 6;

Geometric mean of [2,8] = √(2)(8)

Geometric mean of [2,8] = √16

Geometric mean of [2,8] = 4

Answer:

C.  3/9

Step-by-step explanation:

First, you need to understand what the tree diagram means.

You spin a three-color spinner once. You can get one of three results:

green, blue, or yellow. This is shown in the figure under "1st spin."

Now you spin the spinner a second time. This second spin can also have three outcomes, green, blue, or yellow. For each of the three outcomes of the first spin, you can have 3 different outcomes of the second spin. That is shown under the "2nd spin."

That means there are 9 possible outcomes (numbered from 1 to 9 below):

1. green, green

2. green, blue

3. green, yellow

4. blue, green

5. blue, blue

6. blue, yellow

7. yellow, green

8. yellow, blue

9. yellow, yellow

Each of the 9 outcomes above shows the outcome of the first spin followed by the outcome of the second spin. As you can see there are 9 different outcomes of the two spins.

Now count the number of outcomes that have the same color for the first and second spin. They are shown in bold below.

1. green, green

2. green, blue

3. green, yellow

4. blue, green

5. blue, blue

6. blue, yellow

7. yellow, green

8. yellow, blue

9. yellow, yellow

3 out of 9 outcomes are the same color twice.

Answer: C.  3/9

Answer:

24 , 12x12 = 144. , 144/6 =24