-2(x+4)
Help find answers

Answer:  Choice B)  \(\boldsymbol{4\sqrt{5}}\\\\\)

Work Shown:

\(\sqrt{2}*\sqrt{5}*\sqrt{8}\\\\\sqrt{2*5*8}\\\\\sqrt{80}\\\\\sqrt{16*5}\\\\\sqrt{16}*\sqrt{5}\\\\\boldsymbol{4\sqrt{5}}\\\\\)

The rule I'm using is \(\sqrt{x*y} = \sqrt{x}*\sqrt{y}\)

Answer:

Option B

Step-by-step explanation:

√2 × √5 × √8

√2 × √5 × 2√2 [√8 = 2√2]

(√2 × √2) × √5 × 2

2 × √5 × 2

4√5

Option B is correct

Answer:

-1,000

Step-by-step explanation:

Answer:

The answer is -1000

Step-by-step explanation:

Hope this helps!

Answer: D) 54 inches = 1 1/2 yards

explanation: 1 1/2 yards = 54 inches.

Answer:

Step-by-step explanation:

Coordinate geometry is always used in a certain cartesian system such as the X-Y cartesian system to represents the location of a point.

For example a point  

P  ( x , y )  , occupies an identical position in the cartesian system and the coordinate 'x' and 'y' represents the distances of the point from the X and Y-axis respectively with respect to the origin.  If a point  

P ( x , y )  between two other points  

A ( x 1 , y 1 )  

and  

B ( x 2 , y 2 ) , divides in just two halfs then point P is known as the Midpoint of the points A and B.

And

P ( x = x 1 + x 2 2 ,     y = y 1 + y 2 2 )

When substituting y = 11 into the equation y = 1/2(x) - 25, we find that x = 72, confirming that (23.5, 11) is a valid point of intersection.

Given that x is 23.5, it is required to prove that it is an intersection point for the equation y = 1/2(x) - 25 when y is equal to 11.

The equation is given as y = 1/2(x) - 25

When y = 11, we can substitute the value of y in the equation to obtain 11 = 1/2(x) - 25

This can be simplified as 11 + 25 = 1/2(x)36 = 1/2(x)

On solving, x = 72Thus, when y is equal to 11 and x is equal to 72, the given point of intersection is valid.

Therefore, it can be concluded that x = 23.5 is a point of intersection for the equation y = 1/2(x) - 25 when y is equal to 11.

In summary, when given an equation with two variables, we can find the point of intersection by setting one of the variables to a given value and solving for the other variable. In this case, when y is equal to 11, we can solve for x and obtain the point of intersection as (72,11).

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Answer:460

Step-by-step explanation:

Angle that the tent pole makes with the sides of the tent is 39.6°.

Trigonometric functions are defined as the real functions which are simply the functions of an angle of a triangle. They are basically the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.

Given that,

A conical circus tent has a 20 ft central pole that supports it. The slant height of the tent is 26 ft long.

The central pole forms a right triangle with the floor of the tent.

We need the angle tent pole makes with the sides of the tent.

We have the hypotenuse as the slant height and the central pole is the adjacent side of the angle.

The cos of the missing angle is the ratio of the length of the central pole to the length of the side of the tent.

cos x = 20 / 26 = 0.7692 ≈ 0.77

Applying arccosine,

x = cos⁻¹ (1.3) = 39.6°

Hence the required angle is 39.6°.

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Answer:

63/4 or 15 3/4 miles each day

Step-by-step explanation:

Answer:15.75

Step-by-step explanation:63/4 = 15.75

Answer:

Step-by-step explanation:

The angle of depression is the downward angle the air traffic controller

looks down from in the tower.  It also equals the angle of elevation which is the angle formed by the runway and the line of sight.

With this information you can find the remaining angle:

180 - (90 + 18)

180 - 108 = 72

Let Angle B = 72°

Angle A = 18°

Angle C =90°

We have one side - 140 feet - this is side a - it is across from angle A.

There is a right triangle formed by the runway (side b) the tower, side a, and the line of sight (side c)

Using the law of sines:

sin A/a = sinB/b

sin 18°/a = sin72°/b

.3090/140 = .9510/x

cross multiply and then divide

140 × .9510/.3090

133.14/.3090

430.873 ft

round to a tenth = 430.9 ft

Answer:

x = 8

Step-by-step explanation:

3x^2 + 7 = 199

3x^2 = 199 - 7

x^2 = 192/3

x = sqrt 64

x = 8

4/13 is the probability of drawing a club out of the deck of card if a card at random is selected from a 52-card deck.

There are 13 clubs and 4 jacks in a standard 52-card deck. However, we need to be careful not to double-count the jack of clubs, which is both a club and a jack.

So the number of cards that are either a club or a jack (excluding the jack of clubs) is:

13 (clubs) + 4 (jacks) - 1 (jack of clubs) = 16

Therefore, the probability of drawing a club or a jack (excluding the jack of clubs) is:

P(club or jack) = number of favorable outcomes / total number of outcomes

= 16 / 52

= 4 / 13

So the probability of drawing a club or a jack is 4/13.

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Answer:

Step-by-step explanation:

sin (B) = \(\frac{2}{5}\)

Answer:

the third one.

Step-by-step explanation:

clockwise rotation of 90*

Answer:

clockwise rotation of 90 degrees

Step-by-step explanation:

Please put me as brainliest answer :)

Answer:

The speed of the plane in the still air is 420 miles/hour

The speed of the wind 60 miles/hour

Step-by-step explanation:

Let the speed of the plane with the wind be v

Let the speed of the plane against the wind be u

Now, speed = distance/time

With the wind,

v = (1440 miles)/(3 hours) = 480 miles/hour

v = 480 miles/hour

Against the wind,

u = (1440 miles)/(4 hours) = 360 miles/hour

u = 360 miles/hour

Now, let the speed of plane be p, and speed of wind be w,

Now, with the wind, the speed is 480 mph,

so,

speed of plane + speed of wind = 480 mph

p + w = 480  (i)

and against the wind, the speed is 360 mph,

so,

speed of plane - speed of wind = 360mph

p-w = 360 (ii)

adding equations (i) and (ii), we get,

p+w + p-w = 480 + 360

2p = 840

p = 840/2

p = 420 miles/hour

Then, the speed of the wind will be,

p + w = 480,

420 + w = 480

w = 480 - 420

w = 60 miles/hour

The speed of the plane in still air is calculated to be 420 mph, and the speed of the wind is calculated to be 60 mph by solving the two simultaneous equations obtained from the time, rate, and distance relationship.

This problem is about the rate, time, and distance relationships. The rate at which the airplane travels in still air is r (unaffected by wind), and the speed of the wind is w. When the plane flies with the wind, it is 'assisted' and therefore travels faster - at a speed of (r + w); against the wind, it travels slower - at a speed of (r - w).

From the problem, we know that:

By solving these two equations, we get the following:

Adding these two gives 2r = 840 => r = 420 mph (the speed of the plane in still air), and subtracting gives 2w = 120 => w = 60 mph (the speed of the wind).

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Answer:

y=3(x+3)^2-8

Step-by-step explanation:

Vertex form:

y=a(x-h)^2+k

h=-3, k=-8

y=a(x+3)^2-8

sub (-4,-5)

-5=a(-4+3)^2-8

a=3

y=3(x+3)^2-8

Answer:

127 ft = 1,524 inches + 3.375

Step-by-step explanation:

127 ft = 1,524 inches + 3.375

Answer:

1527 3/8 inches

Step-by-step explanation:

since 12 inches = 1 foot                       

to convert feet to inches multiply the feet value (127) by 12

127 * 12 = 1524

add the rest of the in

1524 + 3 3/8 = 1527 3/8

your answer is 1527 3/8 inches

hope this helps:)

Answer:

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

Simplify in below steps:

The inequality that represents the number of each type of calculator she can buy will be 25x + 65y ≤ 800

Given that teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each.

Consider that x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators.

The inequality that represents the situation becomes as;

25x + 65y ≤ 800

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Answer: $1.50r + $6

Step-by-step explanation:

1.50 times 7 is $10.5 without admission

1.50 times 10 is $15 without admission

(R for rides)

so $1.50r + $6 is the equation

Answer:

43.6 has 3 significant figures.

Answer:

Step-by-step explanation:10 quarters is $2.50

11 nickels is $0.55

14 dimes is $1.40

159 pennies is $1.59

Add the sum of all of those ($6.04) to the money that was originally in the bank acc.

6.04+46.76=52.80

Answer:52.80

a) Yes given statment concluded from the ANOVA test

b) No given statment cannot concluded from the ANOVA test

c) No given statment cannot concluded from the ANOVA test

d) Yes given statment concluded from the ANOVA test

a) On average, people in the middle class agree with the new government policies to a different extent than people in the upper class.

Can conclude: Yes, this can be concluded from the ANOVA test, as the null hypothesis was rejected in Test 2, indicating that there is a significant difference between at least two levels of socio-economic class.

b) All of the socio-economic classes are different in relation to the average extent of voter agreement with the new government policies.

Cannot conclude: No, this cannot be concluded from the ANOVA test, as Test 3 did not reject the null hypothesis, indicating that there is no significant interaction effect between age group and socio-economic class.

c) All of the socio-economic classes are the same in relation to the average extent of voter agreement with the new government policies.

Cannot conclude: No, this cannot be concluded from the ANOVA test, as Test 2 rejected the null hypothesis, indicating that there is a significant difference between at least two levels of socio-economic class.

d) At least one of the socio-economic classes is different to the rest in relation to the average extent of voter agreement with the new government policies.

Can conclude: Yes, this can be concluded from the ANOVA test, as Test 2 rejected the null hypothesis, indicating that there is a significant difference between at least two levels of socio-economic class.

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Given that tan has a negative value in the second and fourth quadrants. Based on the lengths of the tan periods, the angle might be (π-π/6) which is 5π/6, or (2π-π/6) which is 11π/6

This is further explained below.

Any one of the four sections that are created when a plane is cut into quarters using rectangular coordinate axes that lie in that plane.

Generally, the equation is  mathematically given as

√3* tanx - 1 = 0

tanx = +1/√3

After that, we may create a right triangle and start by taking the tan value that is positive.

Tan = opposite /adjacent i,e from SOHCAHTOA

Because of the connection that exists between the sides of that triangle, after we have drawn that triangle, we will easily be able to determine that angle (one of the special right triangles). The angle is 30° or π/6

In conclusion, We are aware that tan has a negative value in the second and fourth quadrants. Based on the lengths of the tan periods, the angle might be (π-π/6) which is 5π/6 or (2π-π/6) which is 11π/6

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Answer:

the answer is 2.75 to this question

Answer:

2.75

Step-by-step explanation:

22 divided by 8 will get the ounces per serving.

Answer:

The answer is 16pi or 50.3cm² to 1 d.p

Step-by-step explanation:

The non shaded=area of shaded

d=8

r=d/2=4

A=pir³

A=p1×4²

A=pi×16

A=16picm² or 50.3cm² to 1d.p

Answer:

3.45 cm (3 s.f.)

Step-by-step explanation:

We have been given a 5-sided regular polygon inside a circumcircle. A circumcircle is a circle that passes through all the vertices of a given polygon. Therefore, the radius of the circumcircle is also the radius of the polygon.

To find the radius of a regular polygon given its side length, we can use this formula:

\(\boxed{\begin{minipage}{6 cm}\underline{Radius of a regular polygon}\\\\$r=\dfrac{s}{2\sin\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

Substitute the given side length, s = 8 cm, and the number of sides of the polygon, n = 5, into the radius formula to find an expression for the radius of the polygon (and circumcircle):

\(\begin{aligned}\implies r&=\dfrac{8}{2\sin\left(\dfrac{180^{\circ}}{5}\right)}\\\\ &=\dfrac{4}{\sin\left(36^{\circ}\right)}\\\\ \end{aligned}\)

The formulas for the area of a regular polygon and the area of a circle given their radii are:

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{nr^2\sin\left(\dfrac{360^{\circ}}{n}\right)}{2}$\\\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a circle}\\\\$A=\pi r^2$\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Therefore, the area of the regular pentagon is:

\(\begin{aligned}\textsf{Area of polygon}&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(\dfrac{360^{\circ}}{5}\right)}{2}\\\\&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(72^{\circ}\right)}{2}\\\\&=\dfrac{\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}}{2}\\\\&=\dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}\\\\&=110.110553...\; \sf cm^2\end{aligned}\)

The area of the circumcircle is:

\(\begin{aligned}\textsf{Area of circumcircle}&=\pi \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\\\\&=\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\&=145.489779...\; \sf cm^2\end{aligned}\)

The area of the shaded area is the area of the circumcircle less the area of the regular pentagon plus the area of the small central circle.

The area of the unshaded area is the area of the regular pentagon less the area of the small central circle.

Given the shaded area is equal to the unshaded area:

\(\begin{aligned}\textsf{Shaded area}&=\textsf{Unshaded area}\\\\\sf Area_{circumcircle}-Area_{polygon}+Area_{circle}&=\sf Area_{polygon}-Area_{circle}\\\\\sf 2\cdot Area_{circle}&=\sf 2\cdot Area_{polygon}-Area_{circumcircle}\\\\2\pi r^2&=2 \cdot \dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\\end{aligned}\)

                                                 \(\begin{aligned}2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)-16\pi}{\sin^2\left(36^{\circ}\right)}\\\\r^2&=\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}\\\\r&=\sqrt{\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}}\\\\r&=3.44874763...\sf cm\end{aligned}\)

Therefore, the radius of the small circle is 3.45 cm (3 s.f.).

Answer:

The exact value of the other leg is 10.

Step-by-step explanation:

Finding the exact value of x given a 45 degree angle and a side length of 10 can be done using trigonometry. In a 45-45-90 right triangle, the two legs are congruent and the hypotenuse is equal to the square root of 2 times the length of the legs.

Therefore, if one leg is 10, the hypotenuse is 10 times the square root of 2. To find the length of the other leg, we can use the Pythagorean theorem:

c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the legs of the right triangle.

Substituting known values, we get:

(10√2)^2 = 10^2 + b^2

200 = 100 + b^2

b^2 = 100

b = 10

Therefore, the exact value of the other leg is 10.

It asks for partial derivative, and you have to derive it with respect to 'y' variable.

\(f_y(x,y)=\frac{\partial f}{\partial y}=\frac{\partial}{\partial y}( 6x+2y+4)=2\)

Answer:

i personally think the 65 in. one

Step-by-step explanation:

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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By using the division property of equality we can divide both sides by -12 to get the solution x = -4

An equation:

A = B

Says that the number A is equal to the number B, so basically, are the same number.

So, if we divide both A and B by the same number C, we will get:

A/C and B/C

And A and B are the same numbers, then A/C and B/C also are the same numbers.

So in an equation, we can divide both sides by the same number (except 0) and the equation will not change.

In this case we have:

-12*x = 48

We could divide both sides by -12, so we will get:

-12*x/-12 = 48/-12

x*(-12/-12) = -4

x = -4

And thus we used the division property of equality to solve the equation.

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