PLS HELP FOR BRAINLIEST ANSWER

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:

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:

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.

Step-by-step explanation:

ppppppp

ppppppp

pppppp

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:

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: 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:

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:

[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:

Probability of getting 4 hearts = 11/833

Step-by-step explanation:

Find:

Probability of getting 4 hearts

Computation:

Probability of getting 1st heart = 13 / 52

Probability of getting 2nd heart = 12 / 51

Probability of getting 3rd heart = 11 / 50

Probability of getting 4th heart = 10 / 49

Probability of getting 4 hearts = [(13 / 52)(12 / 51)(11 / 50)(10 / 49)]

Probability of getting 4 hearts = 11/833

( 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:

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: 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:

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:

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:

38.14

Step-by-step explanation:

Step 1: Write out equation

52.74 - 14.6

Step 2: Subtract

38.14

Answer:

4 pints

Step-by-step explanation:

Because 16x4=64

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:    

(52,1)

(4,49)

(27,3)

(6,24)

(7,19)

(22,4)

key: (r,s)

Complete question :

Data of shoe sizes :

X:

8.5

9.0

9.0

9.5

10.0

10.0

10.5

10.5

11.0

11.0

11.0

12.0

12.0

12.5

Height (y) :

66.5

68.5

67.5

70.0

70.0

72.0

71.5

70.0

71.0

71.5

73.0

73.5

74.0

74.0

Answer:

Kindly check explanation

Step-by-step explanation:

Using the online regression calculator :

The regression model obtained in the form:

ŷ = mx + c is ;

ŷ = 1.792X + 52.176

Where ŷ is the predicted or dependent variable

m = 1.792 is the gradient or slope of the regression line

x = the independent variable

c = 52.176 = intercept, where the line of best fit intersects the y axis.

Given the following x values, predict ŷ

(a) x= 11.5

ŷ = 1.792(11.5) + 52.176 = 72.784

(b) x= 8.0

ŷ = 1.792(8.0) + 52.176 = 72.784 = 66.512

(c) x = 15.5

ŷ = 1.792(15.5) + 52.176 = 79.952

(d) x = 10.0

ŷ = 1.792(10.0) + 52.176 = 70.096

The predicted values are meaningful as they show are very close to the actual values of height (y). This could be attributed to the high correlation Coefficient of 0.9299 which exists between both variables

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:

[tex]26^9[/tex]

Step-by-step explanation:

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

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:

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:

[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:

l = (2b-s)/w

Step-by-step explanation:

s=2b+lw

s-2b=lw

(s-2b)/w= l