Find the area of the shaded region.​​

A. [tex] \cos \: x - 4 \: \cos \: x \: { \sin}^{2}x[/tex] (first option)

➡️ [tex] \cos(x + 2x) [/tex]

➡️ [tex] \cos \: x \: { \cos}^{2} x - \sin \: x \: { \sin }^{2} x[/tex]

➡️ [tex] \cos \: x(1 - 2 \sin^{2}x) - \sin \: x \times 2 \sin(x) \cos(x) [/tex]

➡️ [tex] \cos(x) - 2 \sin^{2} x \cos(x) - 2 \sin^{2} x \cos(x) [/tex]

➡️ [tex] \cos(x) - 4 \cos(x) \sin^{2} x[/tex]

Answer:

si

Step-by-step explanation:

Answer:

x ≠ -4, -1, 3

Step-by-step explanation:

12/(x^2+5x+4) = 8x/(5x-15)

12/((x+1)(x+4)) = 8x/(5(x-3))

division by zero is undefined

There are 3 answers to your question. x= -1 x= 3 x= -4

Answer:

15

Step-by-step explanation:

3×9 =27

3×4= 12

27-12= 15

:) hope it helps

Answer:

ox,-3

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

2a - 3, where a = -5

= 2(-5) - 3

= -10 - 3

= - 13

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\huge\textsf{2a - 3}\\\\\huge\textsf{= 2(-5) - 3}\\\\\huge\textsf{= -10 - 3}\\\\\huge\textsf{= -13}\\\\\\\huge\textsf{Therefore, your answer is: \boxed{\mathsf{-13}}}\huge\checkmark\\\\\\\huge\textsf{Good luck on your assignment \& enjoy your day!}\\\\\huge\textsf{Amphitrite1040:)}[/tex]

Answer:

x = 13

Step-by-step explanation:

one of the rules of logarithm (for all bases, by the way, not just e for ln) is

[tex]a \times ln(b) = ln( {b}^{a} ) [/tex]

so, we have

ln(3²) = ln(x-4)

=>

3² = x - 4

9 = x - 4

x = 13

Answer:

A: [tex]3\frac{1}{3}[/tex]

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

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

m = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{2} }[/tex]

~~~~~~~~~

( 9 , - 5 )

( 1 , - 1 )

m = ( - 1 - ( - 5 ) ) / ( 1 - 9 ) = - [tex]\frac{1}{2}[/tex]

Answer:

50 yellow marbles.

Step-by-step explanation:

Information:

170 marbles

RED : BLUE : YELLOW

9 : 3 : 5

Solving:

To find out how many yellow parts there are, we need to find out how many marbles 5 parts account to.

Altogether, 9 + 3 + 5 = 17. This means there are 17 parts.

The bag contains 170 marbles and the ratio adds up to 17 parts.

We can figure out what 1 part of the ratio accounts to by dividing 170 by 17.

[tex]\frac{170}{17}[/tex] = 10.

1 part = 10

Now remember yellow is 5 parts, now that we know that 1 part is 10, we need to multiply 10 by 5 to find out how many yellow marbles we have.

5 x 10 = 50.

Therefore we have 50 yellow marbles.

The number of yellow marbles in the bag is 50

Ratio shows the relationship among numbers. Ratio is the frequency a value is contained in other values.  For example, if the ratio of boys to girls in a class is 2:1. It means that there are twice as many boys in the class as there are boys.

In order to determine the number of yellow marbles in the bag, express the ratio of the yellow marbles as the sum of the total ratio and multiply by the total number of marbles in the bag.

Number of yellow marbles = (ratio of yellow marbles / sum of ratios) x total number of marbles

Sum of ratios = 9 + 3 + 5 = 17

(5 / 17) x 170 = 50 marbles.

To learn more about ratios, please check: https://brainly.com/question/19257327?referrer=searchResults

Answer:

Question 8: (3,12)

Question 9: (8,-9)

Step-by-step explanation:

Question 8.

(5+x)/2 = 4

5+x=8

X = 8-5

X=3

(-6+y)/2=3

-6+y=6

Y=12

Question 9

(-2+x)/2=3

-2+x=6

X=8

(9+y)/2=0

9+y=0

Y=-9

Answer:

(x-6)^2 + (y+3)^2= 144

Step-by-step explanation:

The equation of a circle can be written in the form

(x-h) ^2 + (y-k) ^2 = r^2 where (h,k) is the center and r is the radius

( x-6) ^2 + ( y--3)^2 = 12^2

(x-6)^2 + (y+3)^2= 144

Answer:

The answer is -6.

Step-by-step explanation:

2-3*(-6+4)=8

2−3

Answer:

18

Step-by-step explanation:

x+11=3x-25

36=2x

x=18

Answer:

32.25

Step-by-step explanation:

For 40 gallons of gas = $86

For 1 gallon of gas = 86/40 = $2.15

For 15 gallons of gas = 15 x 2.15 = 32.25

Answer:

all limits exist.

Step-by-step explanation:

plz see in the picture for more explaination.

Using weighed averages, it is found that your final grade will be of 82.13.

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

Using the data and the weighed average concept, the final grade is:

[tex]G = 0.67(95) + 0.33(56) = 82.13[/tex]

The final grade is 82.13.

A similar problem is given at https://brainly.com/question/24398353

Answer:

[tex]number = x \\ \frac{x}{4} + 3 = 8 \\ \frac{x}{4} = 5 \\ x = 20 \\ thank \: you[/tex]

Answer:

[tex]let \: the \: number \: be \: x \: \\ then \: \\ \frac{x}{4} + 3 = 8 \\ \frac{x}{4} = 8 - 3 \\ \frac{x}{4} = 5 \\ x = 5 \times 4 \\ x = 20 \\ \: hence \: 20 \: is \: your \: answer \:hope \: it \: helped[/tex]

Answer:

98765 is the greatest digit that can be formed using those numbers

9514 1404 393

Answer:

  the correct answer is 47

Step-by-step explanation:

You are correct down to the part where you're adding the numbers.

  50 -10 +7 = 40 +7 = 47

__

The sign of the 7 is positive. The minus sign only applies to 10.

_____

Additional comment

Here, 50 -10 is an easy sum. Sometimes it is easier to add all the positive numbers, then subtract the sum of the negative numbers. Here, that would look like ...

  (50 +7) -(10) = 57 -10 = 47

Step-by-step explanation:

Steps are in the picture above.

Step-by-step explanation:

[tex] - \frac{5}{6} + ( - 2 \frac{5}{8} )[/tex]

[tex] = - \frac{5}{6} - \frac{21}{8} [/tex]

[tex] = \frac{ - 20 - 63}{24} [/tex]

[tex] = \frac{ - 83}{24} (ans)[/tex]

I think that the anwser is probably 10.6

Answer:

P(blue)= 0.25 or 1/4

Step-by-step explanation:

On this spinner, each spot is the same size; therefore, there is a 1 in 4 chance that the spinner lands on blue. This is because there are 4 options but only one of them is blue. Then, if you want a decimal just divide 1 by 4. This equals 0.25. Additionally. If you wanted the answer as a percentage multiply the decimal by 100, so the percentage would be 25%.

Answer:

1/6 + 1/2 = 1/6 + 3/6 = 4/6

SIMPLIFIED IS = 2/3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

7 less than m=m-7

multiplied by 3 = 3(m-7)

Answer:

Step-by-step explanation:

First,

7 less than m = m - 7

Then,

3 times the quantity of 7 less than m = 3 ( m - 7 )

Hence,

Req. expression is 3(m-7)

Let the input be x

[tex]\\ \rm\Rrightarrow x\geqslant 70mg/dl[/tex]

[tex]\\ \rm\Rrightarrow x\leqslant 130mg/dl[/tex]

Now

[tex]\\ \rm\Rrightarrow 70mg/dl\leqslant x\leqslant 130mg/dl[/tex]

Or

[tex]\\ \rm\Rrightarrow 130mg/dl\geqslant x\geqslant 70mg/dl[/tex]

Answer:

70 ≤ x ≤ 130

130 ≥ x ≥ 70

Step-by-step explanation:

We know that a persons glucose level can only be equal to or between 70 and 130 mg/dL. We can create an inequality to represent this;

70 < x < 130

This means that anything in between will work but anything less or more will not. You can also write this inequality as 130 > x > 70.

In word form you would say this:

Best of Luck!

Answer:

∠HDG = 117°

∠FDG = 180°

Step-by-step explanation:

∠FDG:

Since ∠FDG is a straight line, it measures 180°. This is because every straight line measures 180°.

∠HDG:

∠HDG = ∠FDG - ∠FDH

∠HDG = 180° - 63°

∠HDG = 117°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!