3n(5+3n-8-3n) what is the answer

Answer:   143.8 units²

Step-by-step explanation:

Since you know the length of two sides and the measure of the included angle, you can use the following trig formula:

[tex]Area=\dfrac{1}{2}ac \sin B[/tex]

Given: a = 14, c = 21, B = 87°

[tex]Area=\dfrac{1}{2}(14)(21) \sin 87^o\\\\.\qquad =147\sin 87^o\\\\.\qquad =143.8[/tex]

Answer:

[tex]\huge \boxed{\mathrm{146.8 \ units^2 }}[/tex]

Step-by-step explanation:

We can solve for the area of the triangle when two sides are given and the angle in between the two sides.

[tex]\displaystyle A=\mathrm{\frac{1}{2}ac \cdot sinB }[/tex]

[tex]\displaystyle A=\mathrm{\frac{1}{2} \cdot 14 \cdot 21 \cdot sin87 }[/tex]

[tex]\displaystyle A=\mathrm{147 \cdot sin87 }[/tex]

[tex]\displaystyle A=\mathrm{146.79854160...}[/tex]

The area of the triangle is 146.8 units².

Answer:

38.14

Step-by-step explanation:

Step 1: Write out equation

52.74 - 14.6

Step 2: Subtract

38.14

Answer:

[tex]\huge\boxed{\sf x = 7}[/tex]

Step-by-step explanation:

According to the given statement

HJ = HK + KJ

Given that HJ = 25 , HK = x - 5 and KJ = 5x-12

[tex]\sf 25 = x-5+5x-12[/tex]

Adding like terms

[tex]\sf 25 = 6x-17\\Adding \ 17\ to\ both\ sides\\25 + 17 = 6x\\42 = 6x\\Dividing \ both \ sides \ by \ 6\\7 = x\\OR\\x = 7[/tex]

Answer:

1) let the larger number be x and the smaller is y

2) 9x + 2y = 6

3x - y = 7

3) 9x+2y=6 and 9x -3y = 21

5y = -15

y= -3

5)

3x=4

x=4/3

Answer:

32

Step-by-step explanation:

The perimeter of a figure is the sum of all the sides.

So, add up all the sides which equals the perimeter.

And we are given that the perimeter is 66. Thus:

[tex](4z)+(5z-3)+(z-1)=66[/tex]

Combine like terms:

[tex]10z-4=66[/tex]

Add 4 to both sides:

[tex]10z=70[/tex]

Divide both sides by 10:

[tex]z=7[/tex]

So, z is 7.

And VW is 5z-3. Thus:

[tex]VW=5z-3\\VW=5(7)-3=35-3=32[/tex]

Our answer is 32 :)

Answer:

11,15,19,23,27,31,35,39,43,47,51,55,59,63,67,71,75,79,83,87,91,95,99,103,107,111,115

Step-by-step explanation:

I think this is what you wanted

Answer:

A

Step-by-step explanation:

|x|< 3 translates to

x < 3 AND -x < 3

which simplifies to

x < 3 AND x > -3

so, yes, -3 < x < 3

Answer:

l = (2b-s)/w

Step-by-step explanation:

s=2b+lw

s-2b=lw

(s-2b)/w= l

Answer:

The linear equation relating price to demand is Q=-0.5*P + 30

Step-by-step explanation:

The demand for a good is the quantity of that good that the demanders are willing to purchase at a given price.

Then, the Demand Curve relates the quantity that a consumer would be willing to buy as a function of price.

You seek to determine the linear equation that relates the price to the demand Q = m * P + b where Q is the quantity demanded at a price P, and compared with the equation of the straight line y = mx + b, m is the slope and b is the ordinate to the origin.

On a line of the form y = m * x + b, the value of m, having two points, is calculated by:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

And the ordinate to the origin b is calculated, taking the value of m, replacing any of the two points (replacing any of the two because it must give the same value of b) in the expression y = m * x + b and solving its value.

In the case of Q=m*P+b, the value of m, having two points, is calculated by:

[tex]m=\frac{Q2-Q1}{P2-P1}[/tex]

Being:

and replacing:

[tex]m=\frac{10-5}{40-50}[/tex]

you get:

m= -0.5

So, being Q=-0.5*P+b,  b is calculated by:

5= -0.5*50 + b → 5= -25 + b → 5+25= b → b= 30

10= -0.5*40 + b → 10= -20 + b → 10+20= b → b= 30

Then, the linear equation relating price to demand is Q=-0.5*P + 30

Answer:

The answer is

Step-by-step explanation:

Let the measure of it's supplement be x

Supplementary angles sum up to 180° which means the sum of 76° and it's supplement is 180°

To find its supplement add 76° and it's supplement and equate it to 180° to find x

So we have

76 + x = 180

x = 180 - 76

We have the final answer as

Hope this helps you

( eight thousand times one hundred thousand ) plus ( four times one thousand) plus ( six times one )

or if you want the answer to that equation (804,006)

eight hundred four thousand and six

Answer: B

Step-by-step explanation:

To find the factors, you know that they are known as the zeros. The zeros are located on the x-axis, where the graph crosses. On the graph, we see that the parabola crosses the x-axis at x=-5 and x=-1. Unfortunately, those are not displayed in our answer choices.

We know that each factor is set equal to 0 to get x=?. With this knowledge, let's make it so that we can get factors.

x=-5                                      [add both sides by 5]

x+5=0

Now, we see that it is a factor, (x+5).

x=-1                                     [add both sides by 1]

x+1=0

Now, we see that it is a factor, (x+1).

Our final answer is (x+5) and (x+1) or (x+1) and (x+5).

Answer:

2

Step-by-step explanation:

The gradient of the straight line is equal to (y2-y1)/(x2-x1), where

(x1,y1) and (x2,y2) coordinates of the points A and B which belong to the line.

So y2=2 ,x2=1-2p , y1=2+4p, x1=1

k=(2-(2+4p))/((1-2p)-1)= (2-2-4p)/(1-2p-1)= (-4p)/(-2p)=2

The gradient of the straight line joining (1, 2+4p) to (1-2p, 2) is 2 and this can be determined by using the two-point slope formula.

Given :

Points  --  (1,2+4p) and (1-2p,2)

The following steps can be used in order to determine the gradient of the straight line joining (1, 2+4p) to (1-2p, 2):

Step 1 - According to the given data, the points on the straight line are (1, 2+4p) to (1-2p, 2).

Step 2 - The two-point slope formula can be used in order to determine the gradient of the straight line joining (1, 2+4p) to (1-2p, 2).

Step 3 - The two-point slope formula is given below:

[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

Step 4 - Substitute the values of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above expression.

[tex]\rm m = \dfrac{2-(2+4p)}{1-2p-1}[/tex]

Step 5 - Simplify the above expression.

[tex]\rm m = \dfrac{-4p}{-2p}[/tex]

m = 2

For more information, refer to the link given below:

https://brainly.com/question/3605446

Answer:

Cross multiplication

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Since we know that T is the midpoint of SU, we know that it bisects SU. Now, we know that it cuts SU in half. With that, we know that ST and TU are equal.

3x=2x+20                                            [subtract both sides by 2x]

x=20                        

Now that we know x, we can plug them in to solve for each segment.

ST

3x                                                        [plug in x=20]

3(20)                                                    [multiply]

60

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

TU

2x+20                                                 [plug in x=20]

2(20)+20                                             [multiply]

40+20                                                  [add]

60

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

SU

60+60=120

We know that SU is ST and TU combines, therefore, we add the values of ST and TU.

Answer:

5x+12=42

x=6

Step-by-step explanation:

8+x+x+2+3x+2=42

5x+12=42

5x=42-12

5x=30

x=6

Answer:

2.16 cm

Step-by-step explanation:

5 through 11 = 6 hours

total of cms  = 13

13/6 = 2.16

Answer: 6.3 km

Step-by-step explanation:

So we know that to convert meters into km we have to divide the length value by 1000

So:

6300 ÷ 1000 =  6.3

Therefore the answer is 6.3

Answer:

the value of the t test statistic is - 3.419

Step-by-step explanation:

Given that;

n₁ = 18, u₁ = 78.3, s₁ = 6.4

n₂ = 11, u₂ = 84.3, s₂ = 5.3

α = 0.1

Now The hypothesis are;

H₀ : u₁ = u₂

H₁ : u₁ < u₂

To compute the value of the t test statistic;

t = [(x₁ - x₂) / s × √(1/n₁ + 1/n₂)]

where

s = √ [ ((n₁-1) × s₁² + (n₂ - 1 ) × s₂²) / ( n₁ + n₂ - 2)]

s = √ [ ((18-1) × 6.4² + (11 - 1 ) × 5.3²) / ( 18 + 11 - 2)]

s = √ [ (7 × 40.96 + 10 × 28.09 ) / 27 ]

s = √ [ (286.72 + 280.9) / 27 ]

s = √(567.62/27)

s = √21.0229

s = 4.585

Now  t test statistics t = [(x₁ - x₂) / s × √(1/n₁ + 1/n₂)]

t = [(78.3 - 84.3) / 4.585 × √(1/18 + 1/11)]

t = -6 / (4.585 × 0.3827)

t = - 6 / 1.7546795

t = - 3.419

Therefore the value of the t test statistic is - 3.419

as as level of significance α  = 0.1

df = 18+11-2 = 27

∴ T(csal) = t(0.1, 27) = -1.313

That is

t(statistics) < t(cal)

{ - 3.419  < -1.313 }

Answer:

[tex]26^9[/tex]

Step-by-step explanation:

[tex]26^1 *26 ^8\\=26^{1+8} \\=26^{9}[/tex]

Step-by-step explanation:

ppppppp

ppppppp

pppppp

Hi there! :)

Answer:

[tex]\huge\boxed{(-1, 3)}[/tex]

Use the midpoint formula to derive the midpoint of the segment:

[tex](x_{m} ,y_{m}) = (\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} )[/tex]

Substitute in the coordinates:

[tex](x_{m} ,y_{m}) = (\frac{-3+1 }{2} , \frac{4+2 }{2} )[/tex]

Simplify:

[tex](x_{m} ,y_{m}) = (-1 , 3 )[/tex]

The coordinates of the midpoint are:

[tex](-1, 3)[/tex]

Answer:    

(52,1)

(4,49)

(27,3)

(6,24)

(7,19)

(22,4)

key: (r,s)

Answer:

36

Step-by-step explanation:

you would just to 39^2-15^2 which is 1296 and the square root of that is 36 so 36 would be the answer

Answer:

B.7/2

Step-by-step explanation:

4/3 = 1.3333...

The number is greater than one, but it is NOT a terminating decimal.

7/2 = 3.5

The number is greater than one and terminating.

1/4 = 0.25

The number is terminating but less than one.

13/11 = 1.181818...

The number is greater than one, but it is NOT a terminating decimal.

Option B is the correct answer.

Hope this helps.

Considering that a fraction is a division, the correct option is:

B.7/2

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

To convert the fraction to decimal, we divide the numerator by the denominator.

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

Option A:

[tex]\frac{4}{3} = 1.333333....[/tex]

Greater than one, but non-terminating.

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

Option B:

[tex]\frac{7}{2} = 3.5[/tex]

Greater than one and terminating, thus this is the correct option.

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

Option C:

Denominator greater than the numerator, thus less than one.

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

Option D:

[tex]\frac{13}{11} = 1.1818181818....[/tex]

Greater than one, but non-terminating.

A similar problem is given at https://brainly.com/question/17772407

Answer:   115.2 units²

Step-by-step explanation:

Since you know the length of two sides and the measure of the included angle, you can use the following trig formula:

[tex]Area=\dfrac{1}{2}ac \sin B[/tex]

Given: a = 19, c = 14, B = 60°

[tex]A=\dfrac{1}{2}(19)(14) \sin 60^o\\\\.\quad =133\sin 60^o\\\\.\quad =115.2[/tex]

Answer:

[tex]\huge \boxed{\mathrm{115.2 \ units^2 }}[/tex]

Step-by-step explanation:

We can solve for the area of the triangle when two sides are given and the angle in between the two sides.

[tex]\displaystyle A=\mathrm{\frac{1}{2}ac \cdot sinB }[/tex]

[tex]\displaystyle A=\mathrm{\frac{1}{2} \cdot 19 \cdot 14 \cdot sin60 }[/tex]

[tex]\displaystyle A=\mathrm{\frac{133\sqrt{3} }{2} }[/tex]

[tex]\displaystyle A=\mathrm{115.18137870...}[/tex]

The area of the triangle is 115.2 units².

Answer:

[tex]C(D(5))[/tex]

Step-by-step explanation:

Given:

D(p): Items demanded when price is P

C(x): Production cost of x items

Required

Cost of producing when price is $5

First, we need to get the number of items demanded;

To do this, we substitute 5 for P in D(p)

This gives;

[tex]D(5)[/tex]

Next, we determine the production cost;

To do this, we substitute D(5) for x in C(x)

This gives;

[tex]C(D(5))[/tex]

None of the listed options answer the question

Answer:

Center is (3,4)

Radius is √55 which is approximately 7.42

Step-by-step explanation:

First, recall the equation for a circle. The equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h,k) is the center and r is the radius.

We have the equation:

[tex]x^2+y^2-6x-8y-30=0[/tex]

Thus, we want to turn this into the circle equation.

To do so, we need to complete the square.

First, put all the x-terms together and all the y-terms together. Also, add 30 to both sides:

[tex](x^2-6x)+(y^2-8y)-30=0\\(x^2-6x)+(y^2-8y)=30[/tex]

Now, complete the square for both of the variables. Recall how to complete the square. If we have:

[tex]x^2+bx[/tex]

We divide b by 2 and then square it. Then we will have a perfect square trinomial. To keep things balanced, we must also subtract what we added.

Thus, for the first term:

[tex](x^2-6x)\\=(x^2-6x+9)-9\\(x-3)^2-9[/tex]

And for the second term:

[tex](y^2-8y)\\=(y^2-8y+16)-16\\=(y-4)^2-16[/tex]

Replace the two terms:

[tex]((x-3)^2-9)+((y-4)^2-16)=30[/tex]

Simplify. Add -9 and -16:

[tex](x-3)^2+(y-4)^2-25=30[/tex]

Add 25 to both sides:

[tex](x-3)^2+(y-4)^2=55[/tex]

This is now in the form of the circle equation.

Thus, the center is (3,4).

And the radius is √55 which is approximately 7.42

Answer:

to be honest I'm not sure

Answer:

D) 11/16

Step-by-step explanation:

Here are the possible combinations she could pull out.  

1,1 - 1,4 - 1,5 - 1,8 - 4,1 - 4,4 - 4,5 - 4,8 - 5,1 - 5,4 - 5,5 - 5,8 - 8,1 - 8,4 - 8,5 - 8,8

There are 16 possible combinations.   11 would be above 7, so it’s 11/16.