Write an equation in slope-intercept form for the line described. Slope 4, passes through (6,9)

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: third one

Step-by-step explanation:

Answer:

alternate ext angles are <4 <5

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.

Answer:

4 pints

Step-by-step explanation:

Because 16x4=64

Answer:

1800

Step-by-step explanation:

The equation 600t is multiplication (600 x t). Since t represents hours, and they're asking you to solve for 3 hours, all you have to do is multiply 600 x 3, which will get you your answer of 1800.

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: 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:

[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:

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 }

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:

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: 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:

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:

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:

l = (2b-s)/w

Step-by-step explanation:

s=2b+lw

s-2b=lw

(s-2b)/w= l

Answer:

[tex]26^9[/tex]

Step-by-step explanation:

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

( 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:

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

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

Step-by-step explanation:

ppppppp

ppppppp

pppppp

Answer:

38.14

Step-by-step explanation:

Step 1: Write out equation

52.74 - 14.6

Step 2: Subtract

38.14

Answer:

13ft 10.2in

Step-by-step explanation:

First let's convert 3ft to in.

3 * 12 = 36 in

Now let's find the angle

We use tangent because we know the opposite and adjacent distances.

tan x = 36/13

tan x = 2.7692

On your calculator, input the value of your tangent. Then press "inv." This should give you the angle associated with that value. The angle associated with tan 2.7692 is 70.14 degrees.

Now that we know the angle we can find the height.

We use tangent again.

tan 70.14 = x / 5     We don't know the opposite but we know the adjacent length is 5ft.

2.77 * 5 = x

13.85 ft = x

To get it in ft and inches multiply .85 by 12

.85 * 12 = 10.2

13ft 10.2in

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:

Step-by-step explanation:

The quantity of food required for the two cats for one day is ...

  (3/4 can) + (1/2 can) = (3/4 +2/4) can = 5/4 can

Then the cost per day for cat food is ...

  $5/(3 cans) × (5/4 can/day) = $25/12 /day

We note that the cost for some number of days will be the product of this factor and the number of days, rounded up to the next higher $5.

1. The cost for 60 days is ...

  (60 days)($25/12 /day) = $25 × 60/12 = $125

A 60-day supply of cat food costs $125.

__

2. A 29-day supply costs ...

  (29 day) × $25/12 /day = $60 5/12, rounds up to $65 for 29 days

A 30-day supply costs ...

  (30 day) × ($25/12 /day) = $62.50, rounds up to $65 for 30 days

A 31-day supply costs ...

  (31 days) × ($25/12 /day) = $64 7/12, rounds up to $65 for 31 days.

These costs are all the same.

_____

3 cans last, on average, 2 2/5 days. That means some purchases of 3 cans will last for 2 days, and some will last for 3 days. It so happens that the purchase made to cover day 29 will also cover day 30 and day 31.

This question is incomplete

Complete Question

Among the seven nominees for two vacancies on the city council are three men and four women. In how many ways may these vacancies be filled

a) with any two of the nominees?

b) with any two of the women?

c) with one of the men and one of the women?

Answer:

a) 21 ways

b) 6 ways

c) 12 ways

Step-by-step explanation:

We solve this question using combination formula

C(n, r) = nCr = n!/r! (n - r)!

a) with any two of the nominees?

Probability (two of the nominees) = 7C2

= 7!/2! ×(7 - 2)!

= 7!/ 2! × 5!

= 7 × 6 × 5 × 4 × 3 × 2 × 1/2 × 1 ×(5 × 4 × 3 × 2 × 1)

= 21

b) with any two of the women?

We have a total of 4 women

Hence, the probability of any two of the four women, filling the vacancies =

P(any two of the women) = 4C2

= 4!/2! ×( 4 - 2)!

= 4!/ 2! × 2!

= 4 × 3 × 2 × 1/ 2 × 1 ×( 2 × 1)

= 6

c) with one of the men and one of the

Total number of men = 3

Total number of women = 4

= 3C1 × 4C1

= [3!/1! ×(3 - 1)! ] × [4!/1! ×(4 - 1)! ]

= [3!/1! × 2!] × [4!/1! ×3!]

= [3 × 2 × 1/ 1 × 2 × 1] × [4 × 3 × 2 × 1/ 1 × 3 × 2 × 1]

= 3 × [24/6]

= 3 × 4

= 12 ways

The probability for any two of the nominees is 21

The probability for two women is 6

This question is incomplete

Complete Question

Among the seven nominees for two vacancies on the city council are three men and four women. In how many ways may these vacancies be filled

a) with any two of the nominees?

b) with any two of the women?

We have given,

Total number of nominees for two vacancy =7

We solve this question using combination formula

What is the formula for combination?

[tex]C(n, r) = nCr = n!/r! (n - r)![/tex]

a) with any two of the nominees?

Total number of nominees(n)=7

We are selecting r nominees r=2

Probability  = 7C2

= [tex]\frac{7!}{2! (7 - 2)!}[/tex]

= 7!/ 2! × 5!

= 21

b) with any two of the women?

We have a total number of women=4

Out of 4 we have select 2 women

Hence, the probability of any two of the four women is

4C2

= 4!/2! ×( 4 - 2)!

= 4!/ 2! × 2!

= 6

Therefore,probability for two women is 6

To learn more about the combination visit:

https://brainly.com/question/25821700

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:

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