Solve for x. Question 9 options: A) 7 B) 5 C) 4 D) 6

Answer:

x = 58.03°

Step-by-step explanation:

Given:

Solve for x:

1. \(x=cos^{-1}(\frac{9}{17})=58.03\)

Answer:

So, the measure of angle x is equal to 58.03.

Distance traveled after toll payment is 1.2 miles on highway 40.

The distance may be calculated using a curved route. Displacement measurements can only be made along straight lines. Distance is path-dependent, meaning it varies depending on the direction followed. Displacement simply depends on the body's beginning and ending positions; it is independent of the route.

Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.

The size or extent of the displacement between two points is referred to as distance. Keep in mind that the distance between two points and the distance traveled between them are not the same. The entire length of the journey taken between two points is known as the distance traveled. Travel distance is not a vector.

Distance traveled before toll payment =3/5 miles on highway 40

Distance traveled after toll payment =2*3/5  = 6/5 =

1.2 miles on highway 40.

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The perfect square in this problem is given and factored as follows:

x² + x + 0.25 = (x + 5)².

The perfect square of the sum of two terms is given by the notable product presented as follows:

(x + a)² = x² + 2ax + a².

In the context of this problem, the expression is given as follows:

x² + x +

Then the coefficient a is obtained comparing the above function to the standard function as follows:

x² + x = x² + 2ax.

Then:

2a = 1

a = 0.5.

Hence the final term of the expression is given as follows:

a² = 0.5² = 0.25.

Thus the complete expression is:

x² + x + 0.25.

And the factored expression is of:

(x + 0.5)².

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9514 1404 393

Answer:

  (6, 4)

Step-by-step explanation:

The midpoint is found as the average of the coordinates of the end points.

  M = (A +B)/2

  M = ((9, 1) +(3, 7))/2 = (9+3, 1+7)/2 = (12, 8)/2

  M = (6, 4)

The midpoint of segment AB is (x, y) = (6, 4).

Answer:

3

Step-by-step explanation:

374274 =3.74274 x 100000=3.74272x 10^5

Answer:

-3

Step-by-step explanation:

can you mark me brainliest

Answer:

x=-3

Step-by-step explanation:

14-4x=26

-14       -14

-4x=12

/-4    /-4

x=-3

Answer:

x=4 and y=2

Step-by-step explanation:

I'm not 100% sure but I substituted different numbers into the equation:

If x=4 and y=2 then 4+2=6 and 3x2=6 so it would be 6=6

Another option is x=7 and y=3 then 7+2=9 and 3x3=9 so it would be 9=9

I'm more confident with x=4 and y=2 because of the small size of the triangle.

I hope this helps! Good luck! :)

Answer:

(C)

Step-by-step explanation:

looking from the slope: f'(2) is negative

f(2)=0

the curve concave upward: f''(2) is positive

f'(2)<0

f(2)=0

0<f''(2)

f'(2)<0<f''(2)

The expression which is true n the graph of a twice differential function is f' (2) < 0 < f'' (2) so, option C is correct.

A function that has a derivative at each point in its domain is referred to as a differentiable function of one real variable in mathematics. In other words, each interior point in the domain of a differentiable function's graph has a non-vertical tangent line.

Given:

The coordinate of the graph is shown in figure  (2, 0),

As we can see from the graph, the slope: f' (2) is negative (Downwards)

Again, from the graph

f(2) = 0

Thus, the curve concave upward: f'' (2) is positive (upward)

f' (2)<0

f (2)=0

0 < f'' (2)

f' (2) < 0 < f'' (2)

Therefore, f' (2) < 0 < f'' (2) is true in the given graph.

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Answer:

x = -7

Step-by-step explanation:

6+2x=-8

2x=-14

x = -7

Answer:

x= -7

Step-by-step explanation:

6+ 3x = x-8

   -x.     -x

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

6+2x = -8

-6.        -6

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

2x = -14

---      ---

2.       2

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

x= -7

If the equation is y = - 11sin(4x - 8). Then amplitude will be 11, the time period is 4, and the phase difference is 8.

It is a function that repeats itself in a particular time interval.

The sinusoidal function is given as

y= |A| sin(ωx - Φ) ...1

Where A is amplitude, ω is the time period, and Φ is the phase difference.

The equation is given below.

y =  -11 sin(4x - 8) ...2

Comparing the equations 1 and 2, then we have

Amplitude will be 11, the time period is 4, and the phase difference is 8.

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(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

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The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.

Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.

According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:

x + y = 191   ...(1)

The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:

y = x - 47   ...(2)

To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:

x + (x - 47) = 191

Simplifying the equation:

2x - 47 = 191

2x = 191 + 47

2x = 238

Dividing both sides by 2:

x = 238/2

x = 119

Substituting the value of x back into equation (2):

y = 119 - 47

y = 72

As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.

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Answer:

241 per min

Step-by-step explanation:

just take 2169/9 and get 241 per min

Answer:

241 turns in 1 minute.

Step-by-step explanation:

to find the answer 241 you need to divide 2169 by 9 which will get you 241 turns

So the wheel does 241 turns a minute.

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

If you project S onto the (x,y)-plane, it casts a "shadow" corresponding to the trapezoidal region

T = {(x,y) : 0 ≤ x ≤ 10 - y and -4 ≤ y ≤ 4}

Let z = f(x, y) = √(16 - y²) and z = g(x, y) = -√(16 - y²), each referring to one half of the cylinder to either side of the plane z = 0.

The surface element for the "positive" half is

dS = √(1 + (∂f/∂x)² + (∂f/dy)²) dx dy

dS = √(1 + 0 + 4y²/(16 - y²)) dx dy

dS = √((16 + 3y²)/(16 - y²)) dx dy

The the surface integral along this half is

\(\displaystyle \iint_T xz \,dS = \int_{-4}^4 \int_0^{10-y} x \sqrt{16-y^2} \sqrt{\frac{16+3y^2}{16-y^2}} \, dx \, dy\)

\(\displaystyle \iint_T xz \,dS = \int_{-4}^4 \int_0^{10-y} x \sqrt{16+3y^2}\, dx \, dy\)

\(\displaystyle \iint_T xz \,dS = \frac12 \int_{-4}^4 (10-y)^2 \sqrt{16+3y^2} \, dy\)

\(\displaystyle \iint_T xz \,dS = 416\pi\)

You'll find that the integral over the "negative" half has the same value, but multiplied by -1. Then the overall surface integral is 0.

Answer:

120

Step-by-step explanation:

Use the counting principle.

6 × 5 × 4 = 120

Answer: 120

Answer:

4.

128

5.

40

hope this helps

Answer:

The circumference of a circle is divided by the diameter of that circle. PI

Step-by-step explanation:

Hope this helps you!!!! :D

There are 3 dοοrs and 4 curtains behind each dοοr, sο the tοtal number οf chοices pοssible fοr the player is 3 x 4 = 12.

The first chοice is tο pick a dοοr, and there are 3 dοοrs tο chοοse frοm.

The secοnd chοice is tο pick a curtain behind the chοsen dοοr, and there are 4 curtains behind each dοοr. Sο, the player has 4 chοices fοr the curtain behind the chοsen dοοr.

Carnival is a Western Christian festive seasοn that οccurs befοre the liturgical seasοn οf Lent. The main events typically οccur during February οr early March, during the periοd histοrically knοwn as Shrοvetide (οr Pre-Lent). Carnival typically invοlves public celebratiοns, including events such as parades, public street parties and οther entertainments, cοmbining sοme elements οf a circus.

Elabοrate cοstumes and masks allοw peοple tο set aside their everyday individuality and experience a heightened sense οf sοcial unity. Participants οften indulge in excessive cοnsumptiοn οf alcοhοl, meat, and οther fοοds that will be fοrgοne during upcοming Lent. Traditiοnally, butter, milk, and οther animal prοducts were nοt cοnsumed "excessively", rather, their stοck was fully cοnsumed during Shrοvetide as tο reduce waste. This festival is knοwn fοr being a time οf great indulgence befοre Lent (which is a time stressing the οppοsite), with drinking, οvereating, and variοus οther activities οf indulgence being perfοrmed.

The first chοice is tο pick a dοοr, and there are 3 dοοrs tο chοοse frοm.

The secοnd chοice is tο pick a curtain behind the chοsen dοοr, and there are 4 curtains behind each dοοr. Sο, the player has 4 chοices fοr the curtain behind the chοsen dοοr.

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Answer:

Step-by-step explanation:

\(\sqrt{14}/\sqrt{18}\)= \(\sqrt{14*18} /18=\sqrt{2*7*2*3*3} /18=\)6\(\sqrt{7} /18\)=\(\sqrt{7}/3\)

Answer:

125

Step-by-step explanation:

n= 25 less than 150

150-25= 125

n= 125.

Answer:

6

Step-by-step explanation:

The length of v to the nearest 10th of an inch is 2.0 inches.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

We can use the Law of Sines,

Which states that for any triangle ABC:

a/sin(A) = b/sin(B) = c/sin(C)

where a, b, and c are the lengths of the sides of the triangle opposite the angles A, B, and C.

Now,

a = UV = u = 3.4 inches

A = ∠TUV

  = 180° - m∠U - m∠V

  = 180° - 144° - 35°

  = 1°

B = ∠UTV

   = m∠U

   = 144°

C = ∠TVU

  = m∠V

  = 35°

Using the Law of Sines,

v/sin(C) = u/sin(B)

Substituting in the values.

v/sin(35°) = 3.4/sin(144°)

Solving for v.

v = (3.4 × sin(35°)) / sin(144°)

v = 1.97 inches

Therefore,

The length of v to the nearest 10th of an inch is 2.0 inches.

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The distance it will take to drive from Toronto to buffalo (distance between Toronto and buffalo is 154km) is 1.75 hours.

We are given that;

distance = 154 km speed = 88 km/hr

Now,

we need to use the formula:

time = distance / speed

where time is in hours, distance is in kilometers, and speed is in kilometers per hour.

Plugging these values into the formula, we get:

time = 154 / 88 time ≈ 1.75

Therefore, by speed the answer will be 1.75 hours.

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Answer:

50

Step-by-step explanation:

Cynthia can install 50  shingles in an hour.

Two or more expressions with an Equal sign is called as Equation.

Given that Dominic can install 180 shingles in the same time it takes Cynthia to install 150 shingles.

180=150c is the relationship where d and c are the respective rates for Dominic and Cynthia.

Dominic can install 10 shingles more per hour than Cynthia.

D=C+10

and 180/d=150/c

180/c+10=150/c

Apply cross multiplication

180c=150(c+10)

180c=150c+1500

Subtract 150c from both sides

30c=1500

Divide both sides by 30

c=1500/30

c=50

Hence,  Cynthia can install 50  shingles in an hour.

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Answer:

-5x=35            divide both sides by 5

-x=7                multiply both sides by -1

x=-7

It will take the snail 40,271.33 hours (time) to travel 1,171.1 miles (distance) at 0.013 meters per second (speed).

The hours that it will take the snail to travel the distance is determined by first converting the miles into meters at 1 mile = 1,609.34 meters.

The speed per second is also converted into speed her hour.

The conversions use the mathematical operations of division and multiplication.

Time = distance/speed.

Total distance in miles = 1,171.1 miles

Total distance in meters = 1,884,698.07 meters (1,171.1 x 1609.34)

Speed = 0.013 meters per second

Speed in hours = 46.8 meters per hour (0.013 x 60 x 60)

The number of hours to cover the distance = Total Distance/Speed

= 40,271.33 hours (1,884,698.07/46.8)

Thus, it will take the snail 40,271.33 hours to cover a distance of 1,171.1 miles at a speed of 0.013 meters per second.

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Answer:

2.5 sec

Step-by-step explanation:

Height of wall = 2.5 m

initial speed of ball = 14 m/s

height from which ball is kicked = 0.4 m

we calculate the speed of the ball at the height that matches the wall first

height that matches wall = 2.5 - 0.4 = 2.1 m

using  =  + 2as

where a = acceleration due to gravity = -9.81 m/s^2 (negative in upwards movement)

=  + 2(-9.81 x 2.1)

= 196 - 41.202

= 154.8

v =  = 12.44 m/s

this is the velocity of the ball at exactly the point where the wall ends.

At the maximum height, the speed of the ball becomes zero

therefore,

u = 12.44 m/s

v = 0 m/s

a = -9.81 m/s^2

t = ?

using V = U + at

0 = 12.44 - 9.81t

-12.44 = -9.81

t = -12.44/-9.81

t = 1.27 s

the maximum height the ball reaches will be gotten with

=  + 2as

a = -9.81 m/s^2

0 =  + 2(-9.81s)

0 = 196 - 19.62s

s = -196/-19.62 = 9.99 m. This the maximum height reached by the ball.

height from maximum height to height of ball = 9.99 - 2.5 = 7.49 m

we calculate for the time taken for the ball to travel down this height

a = 9.81 m/s^2 (positive in downwards movement)

u = 0

s = 7.49 m

using s = ut + a

7.49 = (0 x t) +  (9.81 x  )

7.49 = 0 + 4.9

 = 7.49/4.9 = 1.53

t =  = 1.23 sec

Total time spent above wall = 1.27 s + 1.23 s = 2.5 sec