I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answer:

$3.00 is the constant

Step-by-step explanation:

let x be the mile driven then

total charge=$3.00+[x($0.30)]

Answer:

Blue and Red line

Step-by-step explanation:

Hope I helped!

Answer:

The blue and the pink lines are parallel

Step-by-step explanation:

because they have the same slope

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The equations which can be used to find the measurement of each angle will be 6x-30=180.

The supplementary angles are defined as the angles whose sum is equal to 180°.

It is given that:-

One angle in a pair of supplementary angles has a value of 2x

The other angle is 30 degrees less than two times the first angle.

Now from the first condition, One angle in a pair of supplementary angles has a value of 2x we can write that:-

2x   +    A   =     180 .........................1

Now from the second condition,The other angle is 30 degrees less than two times the first angle

A     =    4x  -   30 ..............................2

Hence from the above two equations put the value of A in equation 1

the equation will be:-

2x    +   4x    -   30    =    180

6x      -      30        =   180

Hence the equations which can be used to find the measurement of each angle will be 6x-30=180.

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Answer:

y = 6h  h = hour

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:A= 75

B-150

C-225

D-300

Step-by-step explanation:. Y=15x, so you would take the x axis numbers and times it by 15, and then your answer will be there.

Answer:

order from top to bottom 75  150  225  300

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

For this graph, you are using the linear equation formula: y = mx + b

Step-by-step explanation:

\(\tt{}3 \frac{7}{8} - 2 \frac{5}{8} \)

\(\tt{}(3 -2) + ( \frac{7}{8} - \frac{5}{8} )\)

\(\tt{}1 + \frac{1}{4} \)

\(\tt{}1 \frac{1}{4} \)

\(\tt{} \frac{5}{4} \)

\(\tt{}1.25\)

Answer:

Its 1

Step-by-step explanation:

just do the steps

Answer:2

Step-by-step explanation:{[(30-60) ÷ (-30)1²-15} = (-7)=2

Answer:

Ali has 1528. She has 1146 more cards than Max. In total, there are 1910 cards.

Step-by-step explanation:

382 x 4 = 1528

1528 - 382 = 1146

1528 + 382 = 1910

Answer:

Answer:

C, D, E and F

Step-by-step explanation:

Given

4x+5y=18

6x−5y=20

Required

Determine which procedure will result in a single equation in one variable

To do this; we'll test each of the options

A. Subtract the first equation from the second equation.

\((6x - 5y=20) - (4x+5y=18)\)

\(6x - 4x - 5y - 5y = 20 - 18\)

\(2x - 10y = 2\) --- This didn't produce the desired result

B.  Subtract the second equation from the first equation.

\((4x+5y=18) - (6x - 5y=20)\)

\(4x - 6x + 5y + 5y =18 - 20\)

\(-2x + 10y = -2\) --- This didn't produce the desired result

C. Multiply the first equation by 18; multiply the second equation by 18; add the equations.

First Equation

\(18 * (4x+5y=18)\)

\(72x + 90y = 324\)

Second Equation

\(18 * (6x - 5y=20)\)

\(108x - 90y = 360\)

Add Resulting Equations

\((72x + 90y = 324) + (108x - 90y = 360)\)

\(72x + 108x + 90y - 90y = 324 + 360\)

\(72x + 108x = 324 + 360\)

\(180x = 684\) --- This procedure is valid

D. Multiply the first equation by − 6; multiply the second equation by 4; add the two equations.

First Equation

\(-6 * (4x+5y=18)\)

\(-24x - 30y = -108\)

Second Equation

\(4 * (6x - 5y=20)\)

\(24x - 20y = 80\)

Add Resulting Equations

\((-24x - 30y = -108) + (24x - 20y = 80)\)

\(-24x + 24x - 30y -20y = -108+ 80\)

\(-50y = -28\)

\(50y = 28\)  --- This procedure is valid

E. Multiply the first equation by 3; multiply the second equation by − 2; add the two equations.

First Equation

\(3 * (4x+5y=18)\)

\(12x + 15y = 54\)

Second Equation

\(-2 * (6x - 5y=20)\)

\(-12x + 10y = -40\)

Add Resulting Equations

\((12x + 15y = 54) + (-12x + 10y = -40)\)

\(12x - 12x + 15y - 10y =54 - 40\)

\(5y = 14\)  --- This procedure is valid

F. Multiply the first equation by 3; multiply the second equation by 2; subtract the equations in any order

First Equation

\(3 * (4x+5y=18)\)

\(12x + 15y = 54\)

Second Equation

\(2 * (6x - 5y=20)\)

\(12x - 10y = 40\)

Subtract equation 1 from 2 or 2 from 1 will eliminate x;

Hence, the procedure is also valid;

Answer:

∠ ABC = 49°

Step-by-step explanation:

the chord- tangent angle ABC is half the measure of the intercepted arc AB

∠ ABC = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 98° = 49°

Answer:

x- intercept = - 8 , y- intercept = 4

Step-by-step explanation:

to find the x- intercept let y = 0 in the equation and solve for x

x - 2(0) = - 8

x - 0 = - 8

x = - 8 ← y- intercept

to find the y- intercept let x = 0 in the equation and solve for y

0 - 2y = - 8

- 2y = - 8 ( divide both sides by - 2 )

y = 4 ← y- intercept

Answer:

H0: Having health insurance is independent of the size of the company.

Ha: Having health insurance is not independent of the size of the company.

χ²= 9.284

The corresponding p-value for the test is  = 0.0096

Reject H0. We conclude health insurance coverage is not independent of the size of the company.

For small companies, 40% do not provide health insurance. For medium companies, 11.4% do not provide health insurance. For large companies,18 % do not provide health insurance.

These percentages support the conclusion that small companies are less more equally likely to provide health insurance coverage when compared to medium and large companies.

Step-by-step explanation:

       small medium large Total

yes      30         59         82              171

no       20            16        18             54

Total: 50             75       100        225

Expected Values      small         medium       large          Total

yes { 50* 171/225} = 38                   57                76         171

no                                 12               18                   24              54

Total                   50                      75            100                     225  

Squared Distances                small           medium            large

yes                     {(30 - 38)^2}/38

                                          = 1.684                 0.07              0.474

no                      {(20 - 12)^2} /12

                                      = 5.333                   0.22                 1.5

1) The  null and alternative hypotheses can be formulated as

H0: Having health insurance is independent of the size of the company.

Ha: Having health insurance is not independent of the size of the company.

(2) the significance level is alpha =0.05 ,

the number of degrees of freedom is df = (2 - 1) * (3 - 1) = 2df

so then the rejection region for this test is  χ 2 :χ 2 >5.991.

3) Test Statistics under H0 is

χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency

4) χ²= 1.684+5.333+0.07+0.222+0.474+1.5

= 9.284

Since it is observed that χ²=9.284 >χ²= 5.991  it is concluded that the null hypothesis is rejected.

5) Conclusion

It is concluded that the null hypothesis H0 is rejected. Therefore, there is not enough evidence to claim that the two variables are dependent at 0.05 significance level.

The corresponding p-value for the test is  = 0.0096

b)  The percentages of

Small %= 20/50= 0.4= 40%

Medium %= 16/75 = 0.786= 11.4%

Large %= 18/100= 0.18= 18%

For small companies, 40% do not provide health insurance. For medium companies, 11.4% do not provide health insurance. For large companies,18 % do not provide health insurance.

These percentages support the conclusion that small companies are less more equally likely to provide health insurance coverage when compared to medium and large companies.

Я люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать vvvvЯ люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать vЯ люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать vvvvЯ люблю тебя так сильно, что не знаю, как это сделать vvЯ люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать      

=3

The domain of the rational function h(x) = (x - 3)/(x² - 4) is equal to (-∞, -2)  ∪ (-2, 2) ∪ (2, ∞).

The possible points that would lie on h(x) = x² - x + 1 are (3, 7).

True: (1, -1) is a point of the graph of f(x) = -2(x + 1)² + 7.

In Mathematics, a domain is the set of all real numbers for which a particular function is defined.

From the graph of h(x) = (x - 3)/(x² - 4), the domain in interval notation and set builder notation is as follows;

Domain = (-∞, -2)  ∪ (-2, 2) ∪ (2, ∞)

Domain = {x|x ≠ 2, -2}.

Next, we would determine possible x-value for the given quadratic function as follows;

h(x) = x² - x + 1

7 = x² - x + 1

7 - 1 = x² - x

6 = x² - x

x² - x - 6 = 0.

x² - 3x + 2x - 6 = 0.

x(x - 3) + 2(x - 3) = 0

(x + 2)(x - 3) = 0

x = 3 or x = -2.

For second quadratic function f(x) = -2(x + 1)² + 7, we have:

f(x) = -2(x + 1)² + 7

-1 = -2(1 + 1)² + 7

-1 = -2(2)² + 7

-1 = -8 + 7

-1 = -1 (True).

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Answer:

(3*7-6)*5=75

(5+7)*6+3=75

Step-by-step explanation:

Answer:

The second choice

40

Step-by-step explanation:

All the ratos are 10:1

20/2 = 10/1 ==> 10:1

80/8 = 10/1 ==> 10:1

120/12 =10/1 => 10:1

For a 40 serving size the ratio is
40/6 = 20/3 not equal to  10/1

Answer:

The cappuccinos cost $3.59 each and the caffe lattes cost $4.19 each

Step-by-step explanation:

Let's call:

x= price of each cappuccino

y= price of each caffe latte

According to the statement, two cappuccinos and three caffe lattes cost $19.75, thus:

\(2x+3y=19.75\qquad\qquad [1]\)

Also, one cappuccino and two caffe lattes cost $11.97, thus:

\(x+2y=11.97\qquad\qquad [2]\)

The equations [1] and [2] form a system of equations. We'll solve it by elimination.

Multiply [2] by -2:

\(-2x-4y=-23.94\qquad\qquad [3]\)

Add [1] and [3]:

\(3y-4y=-4.19\)

Simplifying:

\(-y=-4.19\)

Solving:

\(y=4.19\)

From [2] we have:

\(x=11.97-2y\)

\(x=11.97-2*4.19=3.59\)

x=3.59

The cappuccinos cost $3.59 each and the caffe lattes cost $4.19 each

Answer:

60

Step-by-step explanation:

1. \((3 + 7) * (6)\)

2. \((10) * (6)\)

3. \(60\)

The solution of the trigonometric equation sec²θ = 2tanθ is θ = π/4 or 5π/4

A trigonometric equation is an equation that contains the trigonometric ratios.

Given that  sec²θ = 2tanθ.

We solve the trigonometric equation as follows

sec²θ = 2tanθ.

We know that the trigonometric identity tan²θ + 1 = sec²θ

Substituting this into the equation, we have that

sec²θ = 2tanθ.

tan²θ + 1 = 2tanθ.

Re-arranging the equation, we have that

tan²θ - 2tanθ + 1 = 0

Factorizing, we have that

tan²θ - tanθ - tanθ + 1 = 0

tanθ(tanθ - 1) - (tanθ - 1) = 0

(tanθ - 1)(tanθ - 1) = 0

(tanθ - 1)² = 0

(tanθ - 1) = 0

tanθ = 1  (twice)

Taking inverse tan of both sides, we have

θ = tan⁻¹(1)

= π/4 or π +  π/4

= π/4 or 5π/4

So, the solution is θ = π/4 or 5π/4.

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Answer:

a) P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = \(\frac{1}{9}\)

b) P( the sum of both dice adding up to 4) = \(\frac{5}{54}\)

Step-by-step explanation:

Given - You roll two six-sided dice. Die 1 is fair. Die 2 is unfair such that the probability of rolling an odd number is  and the probability of rolling an even number is  , though the probability rolling of each odd number is the same, and the probability of rolling each even number is the same.

To find - What is the probability of:

                a) rolling a number less than 4 on Die 1 and rolling a 5 on Die 2.

                b) the sum of both dice adding up to 4.

Proof -

The sample space , S = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

                                          (2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

                                          (3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

                                           (4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

                                           (5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

                                            (6,1), (6,2), (6,3), (6,4), (6,5), (6,6) }

Now,

Given that , Dice 1 is fair

⇒P₁(1) = P₁(2) = P₁(3) = P₁(4) = P₁(5) = P₁(6) = \(\frac{1}{6}\)

Also,

Given Dice 2 is unfair

⇒P₂(1) = P₂(3) = P₂(5) = \(\frac{2}{3}.\frac{1}{3} = \frac{2}{9}\)

    P₂(2) = P₂(4) = P₂(6) = \(\frac{1}{3}.\frac{1}{3} = \frac{1}{9}\)

Now,

a)

P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = P₁(1)P₂(5) + P₁(2)P₂(5) + P₁(3)P₂(5)

= P₂(5) [ P₁(1) + P₁(2) + P₁(3) ]

= \(\frac{2}{9}\) [ \(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{6}\) ] =  \(\frac{2}{9}\)\([\frac{3}{6} ]\) = \(\frac{1}{9}\)

⇒P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = \(\frac{1}{9}\)

b)

P( the sum of both dice adding up to 4) = P₁(1)P₂(3) + P₁(2)P₂(2) + P₁(3)P₂(1)

                                                                   = \(\frac{1}{6}\) × \(\frac{2}{9}\)  + \(\frac{1}{6}\) × \(\frac{1}{9}\) + \(\frac{1}{6}\) × \(\frac{2}{9}\)   =  \(\frac{5}{54}\)

⇒P( the sum of both dice adding up to 4) = \(\frac{5}{54}\)

The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

The vertex of the function f(x)−4=(x+1)2 is (-1, 4).

What is the vertex of the function?

In mathematics, the vertex of a function is the highest or lowest point on the graph of a quadratic function. The vertex can be expressed in the form (h, k), where h represents the x-coordinate of the vertex and k represents the y-coordinate of the vertex.

The given function is in vertex form, which is f(x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Comparing with the given function, we have:

a = 1

h = -1

k = 4

Therefore, the vertex of the function f(x)−4=(x+1)2 is (-1, 4).

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Answer:

we can conclude that there is no significant evidence to conclude that the mean score in 2010 differs from the mean score in 2009.

Step-by-step explanation:

H0 : μ = 582

H1 : μ < 582

Test statistic :

T = (xbar - μ) ÷ σ/√n

Xbar = 515 ; n = 20 ; σ = 120

T = (515 - 582) ÷ 120/√20

T = -67 / 26.832815

T = 2.50

Pvalue at t score = 2.50 ; df = 19 is 0.0187

At α = 0.0187

Pvalue > α ; Hence, we fail to reject the Null

Hence, we can conclude that there is no significant evidence to conclude that the mean score in 2010 differs from the mean score in 2009.