- 12(x - 3)
I need help

\(\huge\boxed{Hi\:there!}\)

\(\huge\sf{3x=9^2}\)

\(\huge\sf{3x=81}\)

\(\huge\sf{Divide\:both\:sides\:by\:3\:to\:isolate\:x:}\)

\(\huge\sf{x=27}\)

\(\huge\boxed{Hence,\:x=27.}\)

\(\huge\sf\underline{Hope\:it\:helps}\)

\(\boxed{CheerfulGirlie\:here\:to\:help}\)

Find the value of x

3x = 9²

x = 27

=> 3x = 9²

=> 3x = 81 [9² = 9×9 = 81]

=> x = 81/3

=> x = 27

Answer:

15

Step-by-step explanation:

f(x) = 5(2 - x)

Let x = -1

f(-1) = 5(2 -  -1)

f(-1) = 5(2 +1)

     = 5(3)

     = 15

Answer:

363.741 feet

Step-by-step explanation:

Let the height of the cliff be represented by x. Applying the appropriate trigonometric function, we have;

Tan θ = \(\frac{opposite side}{adjacent side}\)

Tan \(60^{0}\) = \(\frac{x}{210}\)

cross multiply to have;

   x = 210 × Tan \(60^{0}\)

      = 210 × 1.7321

      = 363.741

The cliff is 363.741 feet high.

When measuring wind speed with a cup anemometer on a sailboat trip across the Atlantic Ocean, there are a few situations that may arise, as shown below:1. When the bearing of the axle is old, the type of error that occurs is systematic error. To reduce or overcome this error, you would need to replace the bearing to avoid it.

2. When there is turbulent flow, the type of error that occurs is random error. To overcome this error, you would have to wait for the wind to stabilize or take an average of many measurements.  3. When there is icing on the cups, the type of error that occurs is also random error.

To overcome this error, you would need to remove the ice or wait for it to melt before continuing the measurement.4. When there is strong tumbling of the sailboat, the type of error that occurs is systematic error. To overcome this error, you would need to find a way to stabilize the boat or take measurements when the boat is less unstable.

It is not well posed to use a cup anemometer to measure in-cabin air flow in a quiet environment because the device is not sensitive enough. The device needs a minimum wind speed to provide accurate readings, and it is not designed to measure low wind speeds. Therefore, it may not be the right tool for the job, and a different instrument may be more appropriate.

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Answer:

What percent of 9 is 18 = 200% and for the second part it is B.

Step-by-step explanation:

I just know that is the answer.

Mr. Schwartz will need to order more wheels after building 12 cars.

The number of cars x Mr. Schwartz builds before he places an order for more wheels can use the following steps:

Determine how many wheels are used per car:

4 wheels/car

Determine the number of wheels available at the start of the week:

85 wheels

Determine the minimum number of wheels needed to be available before placing an order:

40 wheels

Set up an inequality to represent the situation using x to represent the number of cars built before an order is placed:

Number of wheels used = 4x

Number of wheels remaining = 85 - 4x

Order is placed when number of wheels remaining is less than 40:

85 - 4x < 40

Solve for x by isolating the variable:

85 - 4x < 40

-4x < -45

x > 11.25

Since x represents the number of cars built can't have a fractional value for x.

The nearest integer to get the minimum number of cars that need to be built before an order is placed:

x > 12

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Answer:

Step-by-step explanation:

Trick quesition you asked

Answer:

at what?

Step-by-step explanation:

Answer:

All you have to do is ask a question and someone will find and answer.

The area of the adjoining trapezium is 276 \(cm^{2}\).

Given the sides of trapezium be 16 cm, 15 cm, 30 cm, 13 cm.

We are required to find the area of adjoining trapezium.

Draw two perpendiculars on AD and the points will be E and F.

From triangles ABE and CFD.

let the length of AE=x, FD=30-16-x=14-x.

BE=\(\sqrt{169-x^{2} }\), CF=\(\sqrt{225-(14-x)^{2} }\)

BE=CF

\(\sqrt{169-x^{2} }\)=\(\sqrt{225-(14-x)^{2} }\)

Squaring both sides.

169-\(x^{2}\)=225-196-\(x^{2}\)+28x

140=28x

x=5 cm.

Put in BE=\(\sqrt{169-x^{2} }\)

BE=\(\sqrt{169-25}\)

=\(\sqrt{144}\)

=12 cm.

Area of trapezium=1/2 (sum of parallel sides)*height

=1/2 (30+16)*12

=23*12

=276 \(cm^{2}\)

Hence if the sides of trapezium are 16 cm, 15 cm, 30 cm, 13 cm then the area of the adjoining trapezium is 276 \(cm^{2}\).

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The correct statement regarding the variation of the two measures is given as follows:

C. Yes, they vary directly. When one quantity increases, the other quantity also increases.

For this problem, we have that when the number of correct answers on the test increases, the score also does, hence the two quantities vary directly, and option c is the correct option for this problem.

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Answer: (4, -2)

Step-by-step explanation:

Answer:

(4,-2)

letter C

The value of the given expression without using a calculator is (16 - 16√226)/15√226.

We can evaluate the expression using the identities that tan(arctan(x))

= x and tan(π/2 - θ)

= cotθ, and the fact that sin²θ + cos²θ

= 1.

Using these,cos(tan-¹(-15) + tan COS stan ¹(-15)) + tan-¹(-1)We have tan-¹(-15) = -tan-¹(15), because tan(-θ)

= -tanθ.cos(tan-¹(-15) + tan COS stan ¹(-15)) + tan-¹(-1)

= cos(-tan-¹(15) + tan COS stan ¹(-15)) + tan-¹(-1)

= cos(tan-¹(15) - tan(π/2 - tan-¹(15))) + tan-¹(-1)

= cos(tan-¹(15) - cot(tan-¹(15))) + tan-¹(-1)

We know that cotθ

= 1/tanθ

= -15/1

= -15.

Now,cos(tan-¹(15) - cot(tan-¹(15))) + tan-¹(-1)

= cos(tan-¹(15) + tan-¹(15)) + tan-¹(-1)

= cos(2tan-¹(15)) + tan-¹(-1)

Using the identity 2tanθ

= (2tanθ)/(1 - tan²θ) * (1 - tan²θ)/(1 - tan²θ), and letting tanθ

= x, we can simplify as follows:2tanθ

= (2x)/(1 - x²) * (1 + x²)/(1 + x²)

= (2x(1 + x²))/[(1 - x²)(1 + x²)]cos(2tan-¹(15)) + tan-¹(-1)

= cos(arctan(15)) + tan-¹(-1)

= 1/√(1 + 15²/(1 + 15²)) - 1/15

= 1/√(1 + 15²)/16 - 1/15

= 1/√226/16 - 1/15

= 1/(15√226/16) - 1/15

= (16/(15√226)) - (16√226)/(15√226)

= (16 - 16√226)/15√226.

The value of the given expression without using a calculator is (16 - 16√226)/15√226.

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The equation of the line that passes through the point (-8,6) is x + 4y = 16.

What is a slope?

A line's slope often indicates the steepness and direction of the line. By calculating the difference between the coordinates of the two points, (x1,y1) and (x2,y2), it is simple to calculate the slope of a straight line between them. The letter "m" is frequently used to denote slope.

Given:

point = (-8,6)

equation : x+4y=20

x+4y=20

=> 4y = -x + 20

=> y = - x/4 + 5

Here the slope  m is -1/4.

Now  as the lines are parallel therefore the slope will be equal.

Therefore from the slope intercept form,

y - y1 = m (x - x1)

=> y - 6 = -1/4 ( x + 8 )

=> y - 6 = -x/4 - 2

=> x/4 + y = 4

=> x + 4y = 16

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Answer:

m∠B = 43°

b = 26.1

c = 38.3

Step-by-step explanation:

By applying triangle sum in the given triangle,

47° + 90° + m∠B = 180°

137° + m∠B = 180°

m∠B = 43°

By applying sine ratio to the angle measuring 47°.

sin(47°) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

            = \(\frac{28}{c}\)

c = \(\frac{28}{\text{sin}(47^{\circ})}\)

c = 38.28

c ≈ 38.3

By applying cosine rule,

cos(47°) = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)

             = \(\frac{b}{c}\)

             = \(\frac{b}{38.3}\)

b = 38.3[cos(47°)]

b = 26.1

Their bills will never be the same because the toppings cost the same.

Question must probably wants to know the number of toppings it would take for their bills to be equal.

Assume the number of toppings is x, Dennis's bill will be:

= Cost of Pizza + Cost of toppings x number of toppings

= 16.50 + 2x

Sheng's bill will be:

= 13.25 + 2x

Equate their bills to find the number of toppings that would equate their costs:

16.50 + 2x = 13.25 + 2x

16.50 - 13.25 ≠ 2x - 2x

3.25 ≠ 0

In conclusion, their bill will never be the same because the toppings are the same price.

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Answer:

○ B) m∠XOA = m∠OYC

Step-by-step explanation:

Since Point O is circumcentered into the square, we keep it in the midst when we are making comparisons, and since this was simple to identify, this automatically is a false statement. Point O stays in the midst at all times.

- Hope this helps!

Answer:

No

Step-by-step explanation:

x=(b-5)/c≠(5-b)/c

supposedly

b=6

c=1

x=6-5/1=1

x=5-6/1= -1

1≠ -1

Answer:

No

Step-by-step explanation:

x = b - 5 / L equal to - (5 - b) / L

Answer:

Step-by-step explanation:

perpendicular bisector AB is dividing the line segment XY at a right angle into exact two equal parts,

therefore,

ΔABY ≅ ΔABX

also we can prove the perpendicular bisector property with the help of SAS congruency,

as both sides and the corresponding angles are congruent thus, we can say that B is equidistant from X and Y

therefore,

ΔABY ≅ ΔABX

Table B correctly represents the ratio of students to adult

Ratio is an ordered pair of numbers x and y, which can written in form x/ y where y is not 0.

For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is 8 :6 Similarly, the ratio of lemons to oranges is 6:8

ratio 48:6= 48/6

= 8

this means that 8 student to 1 adult

in table B all ratio of student to adult is 8:1

therefore only table 2 obeys this ratio

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The solution to the initial value problem is y(x) = (1/4)sin(2x) + xex/2, y(0) = 1, y'(0) = 2.

To solve this initial value problem using the method of undetermined coefficients, we first assume that the solution has the form y(x) = Axex + Bcos(2x) + Csin(2x), where A, B, and C are coefficients to be determined.

We then find the first and second derivatives of y(x):

y'(x) = Aex + (-2Bsin(2x) + 2Ccos(2x))

y''(x) = Aex - 4Bcos(2x) - 4Csin(2x)

Substituting these expressions into the differential equation, we get:

Aex - 4Bcos(2x) - 4Csin(2x) + (Axex + Bcos(2x) + Csin(2x)) = xex - cos(2x)

Simplifying this equation, we get:

(A + 1)xex + (-4B)cos(2x) + (-4C)sin(2x) = xex - cos(2x)

Equating the coefficients of like terms, we get the following system of equations:

A + 1 = 1    (coefficient of xex)
-4B = 0      (coefficient of cos(2x))
-4C = -1     (coefficient of sin(2x))

Solving this system, we get A = 0, B = 0, and C = 1/4.

Therefore, the solution to the initial value problem is:

y(x) = (1/4)sin(2x)

To find the initial conditions, we use the given values:

y(0) = 1   =>   (1/4)sin(0) = 1   =>   0 = 4   (not true)

y'(0) = 2   =>   A + (-2B) = 2   =>   A = 2B + 2

We can't determine the value of A and B using this condition alone, so we need to differentiate the expression for y(x) again and use the given values:

y''(x) = -2sin(2x)

y''(0) = -2   =>   A - 4B = -2

Substituting A = 2B + 2 into this equation, we get:

(2B + 2) - 4B = -2

Solving for B, we get B = 1/2.

Substituting A = 2B + 2 and B = 1/2 into the expression for y(x), we get:

y(x) = (1/4)sin(2x) + xex/2

Therefore, the solution to the initial value problem is:

y(x) = (1/4)sin(2x) + xex/2, y(0) = 1, y'(0) = 2.

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Answer:

HELLO CARA IT'S ME CONNIE, I MISS U SO MUCH!! <33

Answer:

put your fingers out in the shape of L's. Which ever finger has the L facing the proper way, is left, and the other is right.

Step-by-step explanation:

Answer: 11/2

Step-by-step explanation:

The rate of change of the circle diameter with respect to the radius is a constant value of 2.

The diameter of a circle is twice the radius, so we can write:

Diameter = 2 * Radius

To find the rate of change of the diameter with respect to the radius, we can take the derivative of both sides of this equation with respect to the radius:

diameter/d(radius) = d(2 * radius)/d(radius)

The derivative of 2*radius with respect to radius is simply 2, so we can simplify the equation:

diameter/d(radius) = 2

Therefore, the rate of change of the circle diameter with respect to the radius is a constant value of 2. This means that if we increase the radius by a small amount, the diameter will increase by twice that amount. Conversely, if we decrease the radius by a small amount, the diameter will decrease by twice that amount.

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Answer:

50

Step-by-step explanation:

Hope this helps!

Answer:

see below

Step-by-step explanation:

The graph is shifted to the RIGHT so it will be a   ' x-1'

and it is shifted UP 3 units  so:

Looks like    log3 (x-1) + 3

   at x = 4 the value of the graph is 4

            log3 (4-1) + 3 = 4    CHECK !

Answer:

56.25%

Step-by-step explanation:

The width of each locker is 1 1/4 foot.

We have,

Length = 1 foot

Volume = 7 1/2 cubic feet

Height = 6 foot

So, Volume of Prism = l w h

7 1/2 = (1) w (6)

15/2 = 6w

w= 15/(2 x 6)

w = 5/4

w= 1 1/4 foot

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The shortest distance between Caroline's and Mattie's houses is 10 blocks .

In the question ,

it is given that,

Caroline leaves her house and walks 6 blocks ,

let the point where she starts be A , and the point where she ends be B .

So the distance AB = 6 blocks .

then she turns east and heads to 8 blocks to reach Mattie's house ,

let the point where she stops be C ,

So, the distance BC = 8 blocks ,

the shortest distance(AC) between Caroline and Mattie house can be calculated using the Pythagoras Theorem

AB + BC = AC

6 + 8 = AC

AC = 64 + 36

AC = 100

AC = 10

Therefore , The shortest distance between Caroline's and Mattie's houses is 10 blocks .

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