given tan 0= -15/8 where 270º < 0 < 360°
Given tan 0 =
Find cos 0

Hey there!

Option A.

(4 + 5) * 3^2 - 9 ÷ 3^2

= 9 * 9 - 9 ÷ 9

= 81 - 1
= 80

Thus, that answer is: [incorrect]

Option B.
4 + 5 * (3^2 - 9) + 3^2

= 4 + 5 * (9 - 9) + 9

= 4 + 5 * (0) + 9

= 4 + 5(0) + 9

= 4 + 0 + 9

= 4 + 9

= 13

Thus, that answer is also [incorrect]

Option C.

4 + 5 * 3^2(-9 ÷ 3^2)

= 4 + 5 * 3^2(-9 ÷ 9)

= 4 + 5 * 3^2(-1)

= 4 + 5 * 9(-9)

= 4 + 5(9) * -1

= 4 + 45 * -1

= 4 - 45

= -41

Thus, that answer is also [incorrect]

Option D.
4 + 5 * 3^2 - 9 ÷ 3^2

= 4 + 5(9) - 9 ÷ 9

= 4 + 45 - 9 ÷ 9

= 49 - 9 ÷ 9

= 49 - 1

= 48

Therefore, your answer is: Option D.

Good luck on your assignment & enjoy your day l!

~Amphitrite1040:)

Answer:

Option D

Step-by-step explanation:

To find out which expression has a value of 48, we need to recall the PEMDAS (where: P = Parenthesis, E = Exponents, M/D = Multiplication or Division, A/S = Addition or Subtraction).

A) [4 + 5] × 3² - 9 ÷ 3²

First, simplify the expression in the parenthesis as PEMDAS

⇒ [9] × 3² - 9 ÷ 3²

Pull the "9" out of the parenthesis

⇒ 9 × 3² - 9 ÷ 3²

Simplify the exponents as PEMDAS

⇒ 9 × 9 - 9 ÷ 9

Multiply the first two terms in the expression as PEMDAS

⇒ 81 - 9 ÷ 9

Divide the last two terms as PEMDAS

⇒ 81 - 1

Finally, simplify the expression.

⇒ 80

⇒ 48 ≠ 80

B) 4 + 5 × (3² - 9) ÷ 3²

First, simplify the expression in the parenthesis as PEMDAS.

We can see here that the expression in the parenthesis includes a constant with a negative sign and an exponent. To simplify the expression, we need to simplify the exponent. Once the exponent is simplified, we can simplify the expression in the parenthesis.

⇒ 4 + 5 × (3² - 9) ÷ 3²

⇒ 4 + 5 × (9 - 9) ÷ 3²

⇒ 4 + 5 × (0) ÷ 3²

Pull the "0" out of the parenthesis

⇒ 4 + 5 × 0 ÷ 3²

Simplify the exponent as PEMDAS

⇒ 4 + 5 × 0 ÷ 9

Multiply the middle two terms as PEMDAS

⇒ 4 + 0 ÷ 9

Divide the last two terms as PEMDAS

⇒ 4 + 0

Add the two terms in the expression as PEMDAS

⇒ 4

⇒ 4 ≠ 48

C) 4 + 5 × 3²(-9 ÷ 3²)

First, simplify the expression in the parenthesis as PEMDAS

⇒ 4 + 5 × 3²(-9 ÷ 3²)

⇒ 4 + 5 × 3²(-9 ÷ 9)

⇒ 4 + 5 × 3²(-1)

*3²(-1) can also be written as 3² × -1*

⇒ 4 + 5 × 3² × -1

Simplify the exponent as PEMDAS

⇒ 4 + 5 × 9 × -1

Multiply the last three terms as PEMDAS

⇒ 4 + 5 × 9 × -1

⇒ 4 + (-45)

Add/Subtract the last two terms as PEMDAS

⇒ 4 - 45

⇒ -41

D) 4 + 5 × 3² - 9 ÷ 3²

Since there are no parenthesis in the expression, we can start simplifying this expression by simplifying the exponents.

⇒ 4 + 5 × 3² - 9 ÷ 3²

⇒ 4 + 5 × 9 - 9 ÷ 9

⇒ 4 + 5 × 9 - 9 ÷ 9

Multiply the second and the third terms as PEMDAS

⇒ 4 + 45 - 9 ÷ 9

Divide the last two terms as PEMDAS

⇒ 4 + 45 - 1

Add/Subtract the terms as PEMDAS

⇒ 4 + 44

⇒ 48

⇒ 48 = 48 ✔✔

In conclusion, we can say that option D is correct because the expression of Option D has a value of 48.

Answer:

2.8 Miles

Step-by-step explanation:

If 7m is 60mins

How many miles is 24 mins

solution:

take unknown miles to be 'x'

7m=60mins

Xm=24mins

cross multiply

7×24/60=2.8m

x=2.8miles

If the actual tower is 125 meters wide, then the height will be approximately 325m

The ratio of the similar sides of the shape is equal to a constant.

If an Eiffel Tower mural is 2 meters high and 0.77 meters wide the  actual tower is 125 meters wide, then the new height will be expressed as;
2/0.77 = H/125

Cross multiply

0.77H = 2 * 125
0.77H = 250
H = 250/0.77
H = 325m

This means that if the actual tower is 125 meters wide, then the height will be approximately 325m

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Answer: C

Step-by-step explanation:

the equation for X is

[tex]\frac{2+x}{2} =\frac{8}{1}[/tex]  use proportion to solve

2 + x = 16

x = 14

(14,y)

The equation for Y is

[tex]\frac{-1+y}{2} =\frac{3}{1}[/tex] use proportion to solve

-1 + y = 6

y = 7

(14,7)

now use the distance formula

(14,7) (2,-1)

which gets you 14.4 or C

Answer:

0.60x + ((x+2)(2)) = total cost

Step-by-step explanation:

The pencils = 60 cents

0.60x = (0.60, the money, multiplied by x number of pencils)

The pens = 2 dollars

2(x+2) = (2, the money, multiplied by x number of pencils + 2 more pens)

Answer:

($2.60x + $4  = TC(x)

Step-by-step explanation:'

The number of pens bought would be x + 2, where x is the number of pencils bought.  Then:

Total cost = ($0.60/pencil)x + ($2/pen)(x + 2) = ($2.60x + $4  = TC(x)

Answer:

Step-by-step explanation:

2n² + 2n - 12 = 0

in quadratic formula = n = 2, -3

[tex]2n^2+2n-12=0\\\\\implies n^2 +n-6=0\\\text{Apply quadratic formula,}~ n = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}. ~\\\\\text{In this case,}~ a=1,b=1, c= -6\\\\n=\dfrac{-1\pm\sqrt{1^2-4\cdot 1 \cdot -6}}{2\cdot 1}\\\\~~~=\dfrac{-1\pm\sqrt{1+24}}{2}\\\\~~~=\dfrac{-1\pm\sqrt{25}}{2}\\\\~~~=\dfrac{-1\pm5}{2}\\\\\text{Hence} ~ n=\dfrac{-1+5}{2} = 2 ~~\text{or}~~n = \dfrac{-1-5}2 = -3[/tex]

Answer:

yes because no one is perfect than god.

The coordinates of B and D are the location of the vertices B and D in the rectangle

The coordinates of B and D are (55, 30) and (55, 14)

From the figure of the rectangle, we have:

A = (25,30)

C = (40, 22)

Point B has the same y-coordinate as point A

So, we have:

B = (x, 30)

The x-coordinate is then calculated as:

Bx = 2Cx - Ax

This gives

Bx = 2*40 - 25

Bx = 55

So, the coordinates of B are:

B = (55, 30)

Point D has the same x-coordinate as point B

So, we have:

D = (55, y)

The y-coordinate is then calculated as:

Dy = Cy - (By - Cy)

This gives

Dy = 22 - (30 - 22)

Dy = 14

So, the coordinates of B are:

D = (55, 14)

Hence, the coordinates of B and D are (55, 30) and (55, 14)

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Answer:

If you are only given the perimter, then you can only find the side lengths of a square

Step-by-step explanation:

e.g. say perimeter = 16

16 / 4 = 4 so each length is 4.

Answer:

If your sales volume is increasing from 50 to 62 units a day. This is a 24% increase.

Step-by-step explanation:

To find this answer this is what I did:

[tex]\frac{(62-50)}{50} * 100 = (?)\\\\=\frac{12}{50} *100\\\\=24%[/tex]

24 = 24%

Hence, the percent increase from 50 to 62 is 24%.

** the "*" in the problem above represents multiplication **

I hope that this answer helps to answer your question completely. If there are any further questions please put them in the comments below and I will try my best to answer them If not, please have a great rest of your day/night.

Answer:

24%

If your sales volume is increasing from 50 to 62 units a day. This is a 24% increase. Step-by-step explanation:To find this answer this is what I did:24 = 24% Hence, the percent increase from 50 to 62 is 24%

Hey there!

This grocer is mixing two kinds of coffee. I always love the smell of coffee!

We will say that x sells for $1.15 per pound and y sells for $2.75 per pound.

Altogether there are 24 pounds of coffee he is selling.

The algebraic equation would be x + y = 24

At $1.30 per pound, he will make 24 * $1.30 = $31.2

So, how many of the x and y kinds of coffee should he use to make the $1.30 per pound mixture which will net him $31.2?

The algebraic equation would be 1.15x + 2.75y = 31.2

We now have two equations :

x+y = 24

1.15x + 2.75y = 31.2

Substituting x= 24 -y in the second equation gives us

1.15(24-y) + 2.75y = 31.2

27.6 - 1.15y + 2.75y = 31.2

27.6 + 1.6y = 31.2

1.6y = 31.2 - 27.6

0.3y= 3.6

y= 2.25

x + y = 24

x + 2.25 = 24

x = 24 -2.25

x = 21.75

If y=2.25, then x= 21.75 as well.

So, he will use 21.75 pounds of the $1.15 per/lb one and another 2.25 pounds of the $2.75per/lb one.

~Done~

Answer:

Karen= 35 messages

Lamar= 25 messages

John= 100 messages

Step-by-step explanation:

[tex]\textcolor{steelblue}{\text{\textcircled{1} Define the variables}}[/tex]

Let the number of messages Karen, Lamar and John send be K, L and J messages respectively.

[tex]\textcolor{steelblue}{\text{\textcircled{2} Form equations with given information}}[/tex]

K +L +J= 160 -----(1)

J= 4L -----(2)

L= K -10 -----(3)

[tex]\textcolor{steelblue}{\text{\textcircled{3} Solve by substitution}}[/tex]

Substitute (3) into (2):

J= 4(K -10)

J= 4K -40 -----(4)

Substitute (3) and (4) into (1):

K +(K -10) +(4K -40)= 160

Simplify:

6K -50= 160

6K= 160 +50

6K= 210

Divide both sides by 6:

K= 210 ÷6

K= 35

Substitute K= 35 into (3):

L= 35 -10

L= 25

Substitute L= 25 into (2):

J= 4(25)

J= 100

[tex]\textcolor{steelblue}{\text{\textcircled{4} Concluding statement}}[/tex]

Thus Karen, Lamar and John sent 35, 25 and 100 messages respectively.

Answer as a fraction = 7/9 which is exact

Answer in decimal form = 0.778 which is approximate

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

Explanation:

The time gap from 8 to 15 is 15-8 = 7 minutes.

The time gap from 7 to 16 is 16-7 = 9 minutes.

Divide those differences: 7/9 = 0.778 approximately

The 7's go on forever, but rounding at some point will bump the last 7 to an 8.

The supply equation of the company is an illustration of a quadratic function

The number of machines that must be made to minimize the unit cost is 150

The equation of the function is given as:

[tex]C(x) = 0.5x^2- 150x +20960[/tex]

Differentiate the function

[tex]C'(x) = x - 150[/tex]

Set to 0

[tex]x - 150 = 0[/tex]

Add 150 to both sides of the equation

[tex]x = 150[/tex]

Hence, the number of machines that must be made to minimize the unit cost is 150

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Answer/Step-by-step explanation:

the fibonacci sequence is {1, 1, 2, 3, 5, 8, 13, 21, 34…} and in the visual for the Golden Ratio, if you look those are the those are the numbers that basically equals the golden ration, 1.618.

Answer:

Option A

Step-by-step explanation:

The median of the trapezoid is the line connecting the midpoints of the legs.The median of the trapezoid can be caculated by the fromula,

[tex]\bf Median = \dfrac{a +b}{2}[/tex]

Here, a and b are the base (parallel sides)

a = 13 inches & b = 19 inches

[tex]\bf Median = \dfrac{13+19}{2}[/tex]

              [tex]= \dfrac{32}{2}\\\\\\= 16 \ inches[/tex]

Answer: 32

Step-by-step explanation:

48 - 16 is 32

Answer:

I think the average speed is 160mph or 180mph

Answer: I guess it is 180180mph

Step-by-step explanation:

Answer:

  260

Step-by-step explanation:

The relationship between the number of standard versions and the total download can be written as ...

  2.3n +4.5(2n) = 2938 . . . . . twice as many high-quality songs (2n)

  11.3n = 2938 . . . . . . . . . simplify

  n = 2938/11.3 = 260 . . . divide by the coefficient of n

There were 260 downloads of the standard version.

Considering a discrete distribution, it is found that the expected number of new employees to be hired by the​ airline is of 446.16.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

In this problem, considering the situation described in the text, the distribution is given by:

Hence, the expected value is given by:

E(X) = 0.37(867) + 0.63(199) = 446.16.

More can be learned about discrete distributions at https://brainly.com/question/24855677

Please see Explanation

[tex]a)\ As\ shown\ in\ the\ figure.[/tex]

[tex]b)\ According\ the\ picutre,[/tex]

[tex]we\ know\ only\ 3\ people[/tex]

[tex]sell\ maize\ and\ 5\ people\ sell\ plantain.[/tex]

I hope this helps you

:)

The 3 people sell only maize, 5 people sell only plantain and 4 people sell maize and plantain and the probability that a woman selected at random from the group sells plantain only is 0.147.

It is given that a group of 34 women sells at least one of the following foodstuffs: yam, maize, and plantain.

22 sell yam, 14 sell maize, 18 sell plantain, 7 sell both yam and maize, 9 sell yam and plantain, and no one sells all three items

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

i) Venn diagram is shown in the picture below:

ii) As per the picture 3 people sell only maize, 5 people sell only plantain        

   and 4 people sell maize and plantain.

iii)  Total number of women in the group = 34

     The number of women who sells plantain = 5  

We know the probability = [tex]\rm \frac{favorable \ event}{total \ outcome}[/tex]

Probability [tex]=\frac{5}{34} \\\\\\= 0.147\\[/tex]

Thus, the 3 people sell only maize, 5 people sell only plantain      

and 4 people sell maize and plantain and the probability that a woman selected at random from the group sells plantain only is 0.147.

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Answer: D

Step-by-step explanation:

None of the above

Answer:

Step-by-step explanation:

d

x=-3+4

y=2-3

So it will be (1;-1)

Since no diagram attached there are two possible options.

Option 1

The quadrilateral is parallelogram.

In this case ∠A and ∠D sum up to 180°, therefore:

Option 2

The quadrilateral is isosceles trapezoid.

In this case ∠A is congruent with ∠D, therefore:

Answer:

115

Step-by-step explanation:

[tex]\sf 2^{-6}[/tex]

these two options apply

[tex]\rightarrow \sf \dfrac{1}{2^6}[/tex]

[tex]\rightarrow \sf 2^{-2} \ * \ 2^4 \ * \ 2^{-8}[/tex]

in decimals : 0.015625

Answer:

Option C and D

Step-by-step explanation:

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Example:

If the given exponent is a⁻ᵇ, then the result will be 1/aᵇ.

This exponent includes a negative sign. To make the exponent positive, take the exponent's reciprocal and change the negative sign to a positive sign. The same will be done to the given expression.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

First, take the exponent's reciprocal as said above.

⇒ [tex]2^{-6}[/tex]

⇒ [tex]\frac{1}{2^{-6} }[/tex]

Now, change the exponent's sign.

⇒ [tex]\frac{1}{2^{-6} }[/tex]

⇒ [tex]\frac{1}{2^{6} }[/tex]

Now, simplify the term.

⇒ [tex]\frac{1}{2^{6} }[/tex]

⇒ [tex]\frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2} }[/tex]

⇒ [tex]\frac{1}{8 \times 8}[/tex]

⇒ [tex]\frac{1}{64}[/tex]

Using the simplified result we obtained, let's verify all the options to see which is equivalent to the term.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

A)------------------------------------------------------------------------------------------------------

Keep in mind that the exponent is the number of times the base needs to multiply itself.

[tex]-2^{6} \rightarrow -2 \times -2 \times -2 \times -2 \times -2 \times -2[/tex]

NOTE: If there are even number of "-", then the result should be positive. If there are odd number of "-", then the result should be negative.

[tex]-2 \times -2 \times -2 \times -2 \times -2 \times -2[/tex]

⇒ [tex]2 \times 2 \times 2 \times 2 \times 2 \times 2[/tex]

⇒ [tex]64[/tex]

[tex]-2^{6} = 64 \neq \frac{1}{64}[/tex]

B)------------------------------------------------------------------------------------------------------

Since -64 is already a simplified term, we can compare this with the simplified result.

[tex]-64 \neq \frac{1}{64}[/tex]

C)------------------------------------------------------------------------------------------------------

[tex]\frac{1}{2^{6}}[/tex]

⇒ [tex]\frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2 }[/tex]

⇒ [tex]\frac{1}{8 \times 8 }[/tex]

⇒ [tex]\frac{1}{64}[/tex]

[tex]\frac{1}{2^{6} } = \frac{1}{64} = \frac{1}{64}[/tex]

D)------------------------------------------------------------------------------------------------------

[tex]2^{-2} \times 2^{4} \times 2^{-8}[/tex]

⇒ [tex]\frac{1}{2^{2}} } \times 16 \times \frac{1}{2^{8} }[/tex]

⇒ [tex]\frac{1}{4} \times 16 \times \frac{1}{256}[/tex]

⇒ [tex]\frac{1}{4} \times 1 \times \frac{1}{16}[/tex]                                                                               [16² = 256]

⇒ [tex]\frac{1}{4} \times \frac{1}{16}[/tex]

⇒ [tex]\frac{1}{64}[/tex]

[tex]2^{-2} \times 2^{4} \times 2^{-8} = \frac{1}{64} = \frac{1}{64}[/tex]

E)------------------------------------------------------------------------------------------------------

[tex]2^{3} \times 2^{-2}[/tex]

⇒ [tex]2^{3 - 2}[/tex]

⇒ [tex]2^{1} = 2[/tex]

[tex]2^{3} \times 2^{-2} = 2 \neq \frac{1}{64}[/tex]

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Answer:

46.66% chance of red marble

Step-by-step explanation:

Red Marbles / Total Marbles gives you the percent

14 / 30 = 46.66%

Answer:

A

Step-by-step explanation:

The answer is (-3,0) which is A.

Answer:

A

Step-by-step explanation:

Tax the assesed home would increase the total amount paid

The tax of a home assesed at $150,000 is $1500

The given parameter can be represented using the following ratio:

Ratio = Tax : Amount

So, we have:

$10 : $1000 = Tax : $150000

Express as fraction

10/1000 = Tax/$150000

Multiply both sides by $150000

Tax = $1500

Hence, the tax of a home assesed at $150,000 is $1500

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Answer:

292.5

Step-by-step explanation:

Since they are driving 65 miles for every hour, you can multiply the 65 miles by 4.5

So:

65 * 4.5 = 292.5

The relationship between the temperature in celsius to the temperature in Fahrenheit is C = (5/9)(F - 32)

An equation is an expression that shows the relationship between two or more numbers and variables.

Let F represent temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.

At 0°C, the temperature is 32°F. Also at 100°C, the temperature is 212°F, hence:

[tex]C-0=\frac{100-0}{212-32} (F-32)\\\\C=\frac{5}{9} (F-32)[/tex]

The relationship between the temperature in celsius to the temperature in Fahrenheit is C = (5/9)(F - 32)

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