1
If ZA and ZB are complementary angles and mA = 60°, then m B =?

Answer:

The hourly growth rate parameter is of 4.74%

Step-by-step explanation:

Continuous growth model:

The continuous growth model for a population after t hours is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(0) is the initial population and r is the hourly growth rate parameter, as a decimal.

A sample of 1500 bacteria selected from this population reached the size of 1805 bacteria in four hours.

This means that [tex]P(0) = 1500, P(t) = 1805, t = 4[/tex]

Find the hourly growth rate parameter.

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]1805 = 1500(1+r)^4[/tex]

[tex](1+r)^4 = \frac{1805}{1500}[/tex]

[tex]\sqrt[4]{(1+r)^4} = \sqrt[4]{\frac{1805}{1500}}[/tex]

[tex]1 + r = (\frac{1805}{1500})^{\frac{1}{4}}[/tex]

[tex]1 + r = 1.0474[/tex]

[tex]r = 0.0474[/tex]

0.0474*100% = 4.74%

The hourly growth rate parameter is of 4.74%

Answer:

Nine to thirty-six equals ten to forty.

Step-by-step explanation:

The word ‘to’ can be substituted in for the colon (:). This is to denote the mathematical concept of ratios.

The word ‘equals’ can be used in place of the equal sign (=).

Answer: y = 3,x =7

Step-by-step explanation:

A regular polygon has equal side lengths and congruent interior angles.

The sum of the interior angles of any regular polygon is determined using the formula: (n - 2)180, where n is the number of sides.

Thus, given polygon GHIJK has 5 sides, we would have the following:

The polygon is a regular pentagon.

Sum of all its interior angles = (5 - 2)180 = 540°.

Each interior angle = 540/5 = 108°

Therefore, the statement that is true about the regular polygon are:

Learn more about regular polygon on:

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Answer: b, c, e

Step-by-step explanation:

Step-by-step explanation:

Several ways in which television can disrupt or alter sleep patterns:

People who don't watch Television won't have these problems.

Answer:

If you think numbers with fractions are annoying, consider transforming the number into fractions!

Step-by-step explanation:

7 1/2 is (14+1)/2, and 3 1/8 is (24+1)/3. Not you have 15/2 miles for 25/3 days and by dividing them you get 0.9 miles a day

Answer:

Reflected OVER Y makes A

A (-7,3) -> (7,3)

Translated makes

A (7,3) -> (7-5, 3-5) = (2,-2)

B)

Step-by-step explanation:

Answer:

pretty sure its twenty

Step-by-step explanation:

you have to subtract the maximum from the minimum values

so 25-5=20

have a nice day!!!!!!!!

36 to the nearest hundredth is just 36

To round 36 to the nearest hundredth consider the thousandths' value of 36, which is 0 and less than 5. Therefore, the hundredths' value of 36 remains 36

Answer:

Round 36 to the nearest tenth, Leaving only one number after the decimal point, Then you have come to the right post.

Step-by-step explanation:

Round off to nearest 10. Rounding every place-value of number. Round off a number to the nearest tens round off to the nearest multiple of ten.

A large number may be rounded off to the nearest 10.

Hope It Helps!

Solution :

Let [tex]$x_i$[/tex] represents the prices for the digital camera.

              [tex]$x_i$[/tex]                   [tex]$x_i^2$[/tex]

           225              50625

           236              55696

            217               47089

           202              40804

           231               53361

           185               35225

           193               37249

           185               34225

           217               47089

[tex]$\sum x_i = 2136$[/tex]       [tex]$\sum x_i^2 = 460388$[/tex]

Mean, [tex]$(\overline X) = \frac{\sum x_i}{n}$[/tex]

                 [tex]$=\frac{2136}{10}$[/tex]

                 = 213.6

Variance, [tex]$\sigma^2 = \frac{\sum x_i^2}{n}-(\overline X)^2$[/tex]

                     [tex]$ = \frac{460388}{10}-(213.6)^2$[/tex]

                    = 46038.8 - 45624.96

                    = 413.84

Therefore, standard deviation,

[tex]$\sigma = \sqrt{Var}$[/tex]

   [tex]$=\sqrt{413.84}$[/tex]

   = 20.343

Now to find the 93% confidence interval, the formula us

[tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]

For 93%, the value of z is 1.81

∴ Confidence interval = [tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]

C.I. = [tex]$213.6\pm 1.81 \times \frac{20.343}{\sqrt{10}}$[/tex]

      [tex]$=213.6 \pm 11.6438$[/tex]

Therefore, lower bound = 213.6 - 11.6438

                                        = 201.9562

                  Upper bound = 213.6 + 11.6438

                                         = 225.2438

∴ [tex]$201.9562 < \mu < 225.2438$[/tex]

or [tex]$202< \mu < 225.2$[/tex]

Answer:

Number of game package = 16.5

Number of food package = 8.5

Step-by-step explanation:

LET :

Food package = a

Game package = b

a + b = 25 - - - (1)

20a + 32b = 602 - - - (2)

a = 25 - b

Put a = 25 - b into (2)

20(25 - b) + 32b = 602

500 - 20b + 32b = 602

12b = 102

b = 102 / 12

b = 8.5

a = 25 - b

a = 25 - 8.5

a = 16.5

Number of game package = 16.5

Number of food package = 8.5

Part A:

There are 25 blocks for the length, and the length of each is 5.5 inches. 5.5x25=137.5

There are 9 blocks for the height, and each is 2.75 inches. 2.75x9=24.75

Since we're trying to find how much longer the length is to the width, we find the difference. 137.5-24.75=112.75

So part A answer is 112.75 (or 112¾)

Part B:

We know the length is 137.5 and the height is 24.75. To find how many times longer the length is, we need to divide to see how many 24.75 can go into 137.5.

137.5÷24.75=5.55

So the answer to part B is 5.55. Given the context, the answer would probably be 5, because that's how many entire height can fit.

Sorry if it's wrong lol

Answer:

1 / 2

Step-by-step explanation:

Cos 60°

= 1 / 2

1 / 2 is the answe.

Answer:

443.736759 day

Step-by-step explanation:

To convert a seconds to days, divide the time by the conversion ratio.

So.....

One day is equal to 86,400 seconds, you can use this formula to convert:

 days = seconds ÷ 86,400

The time in days is equal to the seconds divided by 86,400.

Example: Convert 50,000 seconds to days (use the formula above)

50,000 sec = (50,000 ÷ 86,400) = 0.578704 day

Answer:

Step-by-step explanation:600

Answer:

The correct answer is "9√2 units".

Step-by-step explanation:

The given equations are:

⇒ [tex]3x^2-y^2=3[/tex]...(equation 1)

⇒ [tex]y+x-5=0[/tex]...(equation 2)

According to the 2nd equation, we get

⇒ [tex]y+x-5=0[/tex]

⇒              [tex]y=5-x[/tex]

On substituting the value of "y" in the 1st equation, we get

⇒  [tex]3x^2-y^2=3[/tex]

     [tex]3x^2-(5-x)^2=3[/tex]

     [tex]3x^2-(25+x^2-10x)=3[/tex]

     [tex]2x^2+10x-28=0[/tex]

On taking common, we get

     [tex]x^2+5x-14=0[/tex]

On applying factorization, we get

     [tex]x^2+7x-2x-14=0[/tex]

   [tex]x(x+7)-2(x+7)=0[/tex]

           [tex](x+7)(x-2)=0[/tex]

                        [tex]x+7=0[/tex]

                              [tex]x=-7[/tex]

or,

                         [tex]x-2=0[/tex]

                                [tex]x=2[/tex]

Now,

The points are:

(-7, 12) = (x₁, y₁)

(2, 3) = (x₂, y₂)

By using the distance formula, the length of chord will be:

= [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

On substituting the values in the above formula, we get

= [tex]\sqrt{(2-(-7))^2+(3-12)^2}[/tex]

= [tex]\sqrt{(9)^2+(-9)^2}[/tex]

= [tex]\sqrt{81+81}[/tex]

= [tex]9 \sqrt{2}[/tex] units

Step-by-step explanation:

Step-by-step explanation: Here's your solution

Step-by-step explanation: Here's your solution=> x^2 - 64 > 0

Step-by-step explanation: Here's your solution=> x^2 - 64 > 0 => x^2 > 64

Step-by-step explanation: Here's your solution=> x^2 - 64 > 0 => x^2 > 64 => x = 6√64

=. x = 2

hope it helps

The angle of elevation of a kite is 53.13°

"It is the angle formed by the line of sight and the horizontal plane for an object above the horizontal surface."

"For a right triangle, the sine of acute angle [tex]\theta[/tex] is,

[tex]sin(\theta)=\frac{opposite ~side}{hypotenuse}[/tex]"

For given question,

Consider the following diagram for given question.

The length of the string (AC) = 50m

The kite is flying 40m vertically above the ground.

⇒AB = 40m

We need to find the angle of elevation [tex]\theta[/tex]

Consider the sine of angle  [tex]\theta[/tex]

[tex]\Rightarrow sin(\theta)=\frac{AB}{AC} \\\\\Rightarrow sin(\theta)=\frac{40}{50}\\\\\Rightarrow sin(\theta)=0.8\\\\\Rightarrow \theta=sin^{-1}(0.8)\\\\\Rightarrow \theta=53.13^{\circ}[/tex]

Therefore, the angle of elevation of a kite is 53.13°

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Answer:

25

Step-by-step explanation:

a square has 4 sides.

100/4=25

Answer:

v=433.33

Step-by-step explanation:

Answer:

a) Let's define the variables:

t = number of tulips bought

r = number of roses bought

We know that each tulip costs $5, and each rose costs $3.

Then the total cost will be:

$5*t + $3*r

We know that Morty spent a total of $54, then we have the equation:

$5*t + $3*r = $54

We also know that he bought a total of 14 flowers, then:

r + t = 14

Then the system of equations is:

$5*t + $3*r = $54

r + t = 14

b) To solve the system, first, we need to isolate one of the variables in one of the equations. I will isolate r in the second one:

r = 14 - t

Now we can replace this into the other equation:

$5*t + $3*r = $54

$5*t + $3*(14 - t) = $54

Now we can solve this for t.

$5*t + $3*14 - $3*t = $54

$2*t + $42 = $54

$2*t = $54 - $42 = $12

t = $12/$2 = 6

t = 6

He bought 6 tulips.

Now we can use the equation r = 14 - t

r = 14 - 6 = 8

r = 8

He bought 8 roses.

Answer: 37 pieces of candy

Step-by-step explanation:

24-8.50 is 15.50 she wants to save 6.25, so, 15.50-6.25 is 9.25. 9.25 divided by the cost of each candy (0.25) is 37

Answer:

42

Step-by-step explanation:

(8+13)*4/2 = 42

Answer:

42 in

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

angle A +angle B +angle C = 180

30° +B+90°= 180

120°+B=180°

B=180°-120°

B=60°

9514 1404 393

Answer:

  107°

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

  X = 180° -Q

  X = 180° -73° = 107°

Answer: =3x^3+5

Step-by-step explanation: Hope this help :D

Answer:

D

Step-by-step explanation:

Step-by-step explanation:

sorry I don't know the answer I want some points so because I do this I really really sorry. and thanks for point

Answer:

Step-by-step explanation:

Edge 2022

Answer:

c

Step-by-step explanation:

2/3 in