An amusement park charges $20 for an all-day pass and $10 for a pass after 5 P.M. On Wednesday the amusement park collected $1000 in pass sales. This situation can be modeled by the equation 1000 = 20x + 10y where x is the number of all-day passes sold and y is the number of passes sold after 5 P.M. a. Find the x-intercept of the graph of the equation. What does it represent? b. Find the y-intercept of the graph of the equation. What does it represent? c. Graph the equation using a scale of 10 on the x- and y-axes.

No information is given for x and it can be fraction or real number, so option D is correct.

What is fraction ?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator.

It tells how many equal parts of the whole or collection are taken.

No information is given for x and it can be fraction or real number, so option D is correct.

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Answer:

5

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

Answer:

Slope (m): 1/2

Step-by-step explanation:

The rise is 1. As you can see on (-6,0), it goes up one and goes to the right 2 times. ( rise/run). This pattern continues as you can see on your graph.

f ' (0) exists if the limit,

\(\displaystyle \lim_{h\to0}\frac{f(0+h)-f(0)}h\)

exists, and f ' (0) has the value of this limit.

In order for this limit to exist, both limits from either side of h = 0 must exist.

Suppose h < 0. Then 0 + h is also negative, so by definition of f(x) we have

f (0 + h) = ((0 + h) + 1)² = h ² + 2h + 1

Then in the limit, if h is approaching 0, it must be from below or from the left:

\(\displaystyle \lim_{h\to0^-}\frac{f(0+h)-f(0)}{h} = \lim_{h\to0^-}\frac{(h^2+2h+1)-1}{h} = \lim_{h\to0^-}(h+2) = 2\)

Now suppose h > 0, so that 0 + h is positive and h approaches 0 from above or from the right. Then

f (0 + h) = 2 (0 + h) + 1 = 2h + 1

and

\(\displaystyle \lim_{h\to0^+}\frac{f(0+h)-f(0)}h = \lim_{h\to0^+}\frac{(2h+1)-1}{h} = \lim_{h\to0^+}2 = 2\)

Both one-sided limits match, so f ' (0) = 2.

The maximum and minimum value of η at q = 10 and q = 85 respectively.

The demand equation is p = 190/ (q + 10) where 10 < 0 < 85.

η is the elasticity of demand.

Then, the elasticity of demand is given as:

η = ( dq/ dp) × ( p / q )

Now, we have p = 190/ (q + 10)

Therefore,

p ( q + 10 ) = 190

pq + 10p = 190

q = ( 190 - 10p ) / p

Now,

dq / dp = ( d/dp ) ( ( 190 - 10p ) / p )

dq / dp =  ( -190/ p² )

Substituting these values in the elasticity demand,

η = ( dq/ dp) × ( p / q )

η = ( -190/ p² ) × ( p / q )

η = ( -190/ pq )

η = ( -190/ [190 / (q + 10 ) ]q )

η = [ - ( q + 10 ) / q ]

| η | = | - ( q + 10 ) / q |

η =  ( q + 10 ) / q = 1 + 10/q

The critical point is when | η' | = 0.

η' = ( d / dq ) ( 1 + 10/q )

η' = - 10/ q²

- 10/ q² = 0

Hence, - 10/ q² is not defined.

Therefore, the function is not defined at q = 0.

Therefore, q = 0 is not a solution.

We have 10 ≤ q ≤ 85

The value of functions at the endpoint,

At q = 10,

η = ( 1 + 10/q )

η = ( 1 + 10/10 )

η = 1 + 1 = 2

At q = 85,

η = ( 1 + 10/q )

η = ( 1 + 10/85 )

η = 1.11764

Therefore, the absolute value of the elasticity of demand is maximum at q = 10.

The absolute value of the elasticity of demand is minimum at q = 85.

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Answer:

105

Step-by-step explanation:

15÷1/7 = 15/1 x 7/1 = 105

Answer:

x=-3

Step-by-step explanation:

55+54 equals 109

180 minus 109 equals 71

-3 plus 74 equals the 71 degrees that you need

Answer: 340

Step-by-step explanation:

10 x 5 = 50

10 x 5 = 50

10 x 8 = 80

10 x 8 = 80

8 x 5 = 40

8 x 5 = 40

50 + 50 + 80 + 80 + 40 + 40

100 + 160 + 80

340

Answer:

7 movie tickets 59.5

Step-by-step explanation:

divide 34 by 4 and then you get 8.5 then multiply that by 7

Answer:

33/44 = 0.75

0.75*44 = 33

Answer:

44% of 75 = 33

Step-by-step explanation:

The value of 6315 ×41 is 260391.

Multiplication is a method of finding the product of two or more numbers

We have to find the product of 6315 times of forty one

 6351

×     41

_______

    6351

25404+

__________

260391

Hence, the value of 6315 ×41 is 260391.

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The trigonometric function on the graph is:

f(x)= -cos(x)

So the correct option is B.

Here we can see the graph of a trigonometric function. We can see that the x-intercept is -1.

Notice that:

sin(0)= 0

cos(0) = 1

So the function can be an inversion over the x-axis of the cosine function, we coulod write this as:

f(x) = -cos(x)

That is the graphed function.

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Answer:

42.5°

Step-by-step explanation:

Reference angle = θ

Side opposite to θ = 2.7

Hypotenuse = 4

Applying trigonometric ratio, we have:

\( sin (\theta) = \frac{opp}{hyp} = \frac{2.7}{4} \)

\( sin (\theta) = 0.675 \)

\( \theta = sin^{-1}(0.675) \)

\( \theta = 42.4541502 \)

θ = 42.5° (nearest tenth)

The equation of a line that passes through points (2,5) and (4,3) is

y = -x+7.

Finding the equation of a line:

First, we need to find out the slope for the given points.

(X1,Y1) = (2,5)

(X2,Y2) = (4,3)

formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)

substitute the points in the above formula

\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)

\(\frac{-2}{2}\) = -1

slope for the given points(m) = -1.

m = -1

The equation of a line is y-y1 = m(x-x1), where x and y are variables.

substituting the values in the above equation then :

y-5 = -1(x-2)

y-5 = -x+2

y+x = 2+5

x+y = 7

y = -x+7

Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7

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Answer:

X=1

Step-by-step explanation:

3x+1=4

3x=4-1

3x=3

x=1

a. The graph represents a proportional relationship.

b. The graph does not represent a proportional relationship.

c. The graph does not represent a proportional relationship.

d. The graph represents a proportional relationship.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.

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We have that for the Question ,it can be said that the next 3 sequence is

Respectively

Generally

We notice that the difference between numbers in the sequence rises by 4

therefore

For the first differ

9-2=7

7+4=11

Hence

11+9=20

Generally

for the sixth value

4*5=20

20+7=27

27+77=104

Therefore

the next 3 sequence is

Respectively

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Answer:

Addition = 3656999

Step-by-step explanation:

Predecessor of number = (Number - 1)

Predecessor of 365000 = 365000 - 1

                                         = 364999

Successor of a number = (Number + 1)

Successor of 3291999 = 3291999 + 1

                                      = 3292000

Now we have have to add the predecessor of 365000 and successor of 3291999,

364999 + 3292000 = 3656999

In other words addition of predecessor of any number and successor of other number will be same as the sum of both the numbers.

Answer:

t = 8588 years

Step-by-step explanation:

From the given information:

Using the formula:

\(k = \dfrac{In (2)}{t_{1/2}}\)

Given that:

\(t_{1/2}\) = 5730 years

Then:

\(k = \dfrac{In (2)}{5730}\)

\(k = \dfrac{0.6931472}{5730}\)

k = 1.20968 × 10⁻⁴

However; the expression to find the value of x is:

\(x= x_oe^{-kt}\)

\(4.6 \times 10^{-13} = 1.3 \times 10^{-12} \times e^{(-1.20968\times 10^{-4} \times t)}\)

\(\dfrac{4.6 \times 10^{-13} }{1.3 \times 10^{-12}}= e^{(-1.20968\times 10^{-4} \times t)}\)

\(0.353846= e^{(-1.20968\times 10^{-4} \times t)}\)

(-1.20968 × 10⁻⁴ × t) = In(0.353846)

(-1.20968 × 10⁻⁴ × t) = -1.03889

\(t = \dfrac{-1.03889}{-1.20968 \times 10^{-4}}\)

t = 8588 years

Answer:

The probability that there will be

(a) at least 2 such accidents in the next month?

= 0.864

(b) at most 1 accident in the next month?

= 0.136

Step-by-step explanation:

This is a Poisson Distribution question.

The formula is given as:

For X = x ,

= λ^x × e^-λ/x!

The monthly worldwide average number of air- plane crashes of commercial airlines is 3.5. What is the probability that there will be

(a) at least 2 such accidents in the next month?

= λ^x × e^-λ/x!

λ = 3.5

x = at least 2 such accidents

x ≥ 2

= 1 - [P(x = 0) + P(x = 1)]

= 1 - [(3.5^0 × e^-3.5/0!)+ (3.5^1 × e^-3.5/1!)]

= 1 - [ 1 × 0.0301973834 + 3.5 × 0.0301973834]

1 - [ 0.0301973834+ 0.105690842]

= 0.8641117746

≈ 0.864

(b) at most 1 accident in the next month?

= λ^x × e^-λ/x!

λ = 3.5

x = at most 1 such accidents

x ≤ 1

= [P(x = 0) + P(x = 1)]

= [(3.5^0 × e^-3.5/0!)+ (3.5^1 × e^-3.5/1!)]

= [ (1 × 0.0301973834) + (3.5 × 0.0301973834)]

[ 0.0301973834+ 0.105690842]

= 0.1358882254

≈ 0.136

Find the total minutes:

15 + 30 + 25 + 35 = 105 minutes

This is equal to 1 hour and 45 minutes

Subtract 1 hour and 45 minutes from 9:30

She woke up at 7:45 am

The speed of the plane was  3 mph.

We are given that Otis took 2 hours to fly from Phoenix to Denver with the wind. Coming back later in the day ,at the same speed, took her 3 hours. If the wind was 15 mph

Consider v is the speed of the wind,

Then the equation of the speed:

(15+ v ) × 2 = (15- v) × 3

30 +2v = 45 - 3v

5v = 45- 30

5v =15

v = 15/5

v = 3

therefore, the speed of the wind = 3mph

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Hence, in answering the stated questiοn, we may say that We knοw they equatiοn are perpendicular tο each οther since the prοduct οf their slοpes equals -1.

A math equatiοn is a methοd that links twο claims and represents equivalence using the equals sign (=). An equatiοn is a mathematical statement that establishes the equivalence οf twο mathematical expressiοns in algebra. In the equatiοn 3x + 5 = 14, fοr example, the equal sign separates the numbers 3x + 5 and 14. A mathematical fοrmula may be used tο describe the relatiοnship between the twο sentences οn οppοsite sides οf a letter. In usually, the lοgο and the prοgramme are the same. Fοr instance, 2x - 4 equals 2.

The οld rοad has a slοpe οf 3, hence the new rοad will have a slοpe οf -1/3.

Let's name the new rοad's equatiοn y = mx + b, where m is the slοpe and b is the y-intercept.

We knοw that the new rοad must gο past pοint (1,1), therefοre

1 = (-1/3)(1) + b

b = 4/3

y = (-1/3)x + 4/3

We may cοmpute the prοduct οf their slοpes tο ensure that this new rοad crοsses the current rοad at a perpendicular angle.

Because the new rοad's slοpe is -1/3 and the present rοad's slοpe is 3, their prοduct is:

(-1/3) * 3 = -1

We knοw they are perpendicular tο each οther since the prοduct οf their slοpes equals -1.

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Answer:

$495 (745 if you include the $250 deductible)

Step-by-step explanation:

70% of 700 is 490

700 - 490 = 210

70% of 950 is 665

950 - 665 = 285

210 + 285 = $495

Answer:

495

Step-by-step explanation:

70% of 700= 490

700 - 490= 210

70% of 950= 665

950 - 665= 285

Add them together

210 + 285= 495

The reason you might have gotten 345 is because you subtracted 495 with 250 but 250 is how much he has to pay for the medical insurance, not how much he also get off

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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The table of integrals can be a useful tool for simplifying the integration process, but it's important to have a solid understanding of calculus concepts in order to use it effectively.

The table of integrals is a tool used in calculus to simplify the process of finding antiderivatives. It lists various functions and their corresponding antiderivatives, or integrals.

To use the table of integrals, you first need to identify the function you are trying to integrate. Then, find a similar function in the table and use the corresponding antiderivative to solve your integral.

It's important to note that not all functions have a corresponding antiderivative listed in the table, and in those cases, other integration techniques must be used.

Additionally, it's always a good idea to double check your work and make sure the answer makes sense in the context of the original problem.

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If we use the table of integrals, the solution would be In | tan(x+7) + sec(x+7)|+C. Option A

Using the table of integral, we say

∫ (1/cos(x +7)) dx ⇒ ∫sec (x+7) dx

u = x+7   ⇒ du = dx

= ∫sec (u) du

Expand the fraction by tan (u) + sec (u)

= ∫(sec(u) (tan(u) + sec (u))/ tan (u) + sec (u)

= ∫((sec(u) tan(u) + sec²(u))/ (tan (u) + sec (u))) du

Substitute v= tan(u) + sec (u) ⇒ dv = (sec(u) tan(u) + sec²(u))du

= ∫(i/v)dv

= In(v)

Undo substitution v = tan(u) + sec(u)

=In(tan(u) + sec(u))

= In(tan(x+7) + sec(x +7))

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Answer:

Complete question :

A conglomerate corporation​ develops, manufactures, and markets a wide range of​ products, including medical diagnostic imaging​ devices, jet​ engines, lighting​ products, and chemicals. In​ 2013, the stock price rose 34.83 %, and in​ 2014, the stock price declined ​8.2%. If one purchased​ $1,000 of some social media stock at the start of​ 2013, its value would be ​$ at the end of 2014.

Answer: 0.2078330

Step-by-step explanation:

The geometric mean is calculated using :

[((1 + r1)(1+r2)(1+r3)...(1+rn))^(1/n) ]- 1

From the question:

2014 stock decline = 8.2% = rate 1(r1) = 0.082

2013 stock increase = 34.83% rate 2(r2) = 0.3483

Number of observations (n) = 2

Hence, geometric mean:

[((1 + r1)(1 + r2))^(1/n)] - 1

[((1 + 0.082) (1 + 0.3483))^(1/2)] - 1

Sqrt[(1.082)(1.3483)] - 1

Sqrt(1.4588606) - 1

= 1.2078330 - 1

= 0.2078330

Complete the following question:

Medical diagnostic imaging devices, jet engines, lighting products, and chemicals are just some of the products that a conglomerate corporation develops, manufactures, and markets. In 2013, the stock price increased by 34.83 percent, but it fell by 8.2 percent in 2014. If you bought $1,000 worth of social media stock in the beginning of 2013, it would be worth $ by the end of 2014.

0.02078330 is the answer.

Step-by-step instructions:

The geometric mean is found by multiplying the following numbers together:

[((1 + r1)(1+r2)(1+r3)...(1+rn))(1/n) ] (((1 + r1)(1+r2)(1+r3)...(1+rn) ] ((1 + r1)(1+r2)(1

+ 1

As a result of the question:

Rate 1(r1) = 0.082 for 2014 stock decline = 8.2 percent

Increase in stock in 2013 = 34.83 percent rate 2(r2) = 0.3483

The number of observations (n) is equal to two.

As a result, the geometric mean is calculated as follows:

[((1 + r1)(1 + r2))(1/n)] [(1 + r1)(1 + r2)] [(1 + r1)(1 + r2)] [ + 1

[((1 + 0.082) (1 + 0.3483)) [((1 + 0.082) (1 + 0.3483)) [((1 + 0.082) (1 + 0.3483)) [ + 1

Sqrt[(1.082)(1.3483)] is the square root of the number Sqrt[(1.082)(1.3483)]. + 1

sqrt(1.4588606) - 1 sqrt(1.4588606) sqrt(1.4588606) sqrt

1.2078330 - 1 = 1.2078330 + 1 = 1.2078330 + 1 = 1.

equals 0.2078330

combine liked terms the 7 and 2 y3. and then arrange them in exponential order