Drag each expression to the correct location on the table.
Simplify each exponential expression using the properties of exponents and match it to the correct answer.

Step-by-step explanation:

Answer:a function whose value decreases as the independent variable increases over a given range.

Step-by-step explanation:

[tex]\dfrac{x^2y}{2} = \dfrac{(-1)^2 \cdot 5 }{2} = \dfrac{1 \cdot 5}2 = \dfrac 52[/tex]

The total cost of the car after the $1,200 destination fee is B. $52,500.

To calculate the total cost of the car after the trade-in rate and the destination fee, we shall subtract the trade-in value from the total price of the new car, and then add the destination fee.

Given:

Base price of the car = $50,000

Premium interior = $1,400

Navigation touch-screen = $1,700

Smart traffic sensors = $2,200

Total price before the trade-in

= $50,000 + $1,400 + $1,700 + $2,200 = $55,300.

The trade-in rate = 80% of the trade-in value, which is $5,000.

So, the trade-in value = 80% * $5,000 = $4,000.

Subtract the trade-in value from the total price:

$55,300 - $4,000 = $51,300.

Finally, add the destination fee of $1,200 to the destination fee:

Total cost of the car = $51,300 + $1,200

= $52,500.

Therefore, the total cost of the car after the $1,200 destination fee is $52,500.

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The advance tickets were 35 in number and the same day ticket will be 30 in number.

To find out the number of the tickets sold we will give some notations so the notations are as follows:-

A= Cost of advance tickets=$30

S= cost of same-day ticket-=15

[tex]N_A=[/tex] Number of the advance tickets

[tex]N_S=[/tex]Number of same-day tickets.

The equations made by the given data will be:-

[tex]30N_A+15N_S=1500\\\\\\N_A+N_S=65[/tex]

By solving the above equations:-

[tex]N_S=30\ \ \ \ \ \ N_A=35[/tex]

Hence the advance tickets were 35 in number and the same day ticket will be 30 in number.

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Answer:

Step-by-step explanation:

Remark

The sine of an angle involves the Hypotenuse. So the first job is to find that.

When you do Sin(H) = opposite / hypotenuse

Hypotenuse

Givens

a = √3

b = √13

c = ?

c is the hypotenuse.

Equation

c^2 = a^2 + b^2                  Substitute values

Solution

c^2 = (√3)^2 + (√13)^2

c^2 = 3 + 13                         Combine

c^2 = 16                               Take the Square Root of Both Sides

√c^2 = √16      

c = 4

Sin(H) = opposite / Hypotenuse

Opposite = √3

Hypotenuse = 4

Sin(H) = √3/4

Sin(H) = 1.7321/4

Sin(H) = 0.4330

Answer

Sin(H) = 0.43

Answer:

its C

Step-by-step explanation:

Answer:

The correct answer is:

P(nuts)=7/9

Step-by-step explanation:

The experimental probability that the next sundae sold will have nuts is

7/9

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]

where, [tex]P_e(E)[/tex]  is denoting the experimental probability of occurrence of E.

We are given that At Frosty Freeze, 14 of the last 18 sundaes sold had nuts.

Therefore,

Probability that the next sundae has nuts is 14/18 = 7/9.

Thus, Probability that the next sundae does not have nuts = 2/9

P(nuts)=7/9

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Answer:

915.78cm

Step-by-step explanation:

you do AxBxCxH

a base side

b base side

c base side

height

all multiplied by each other

hope its correct good luck!

Answer:

He ran .7 miles without a cramp

Step-by-step explanation:

Answer:

Step-by-step explanation:

The total cost of Tandoori Seasoning is incorrect.

Vijay made an error when multiplying 3.5 ounces by $3.60 .

Cost of both spice blends is actually $23.6.

it is defined as the deviation of an entitiy from its corrected value while calculating.

Now it is given that,

Tandoori Seasoning = 3.5 ounces for $3.60 an ounce

Garam Masala =  4 ounces for $2.75 an ounce

Hence, total cost of  Tandoori Seasoning =  3.5*$3.60

⇒ total cost of Tandoori Seasoning = $12.6

and total cost of Garam Masala =  4*$2.75

⇒ total cost of Garam Masala = $11

Therefore, total cost for the spices =cost of Tandoori Seasoning + cost of Garam Masala

⇒  total cost for the spices = $12.6 + $11

⇒  total cost for the spices =  $23.6

Hence, we conclude that,

The total cost of Tandoori Seasoning is incorrect.

Vijay made an error when multiplying 3.5 ounces by $3.60 .

Cost of both spice blends is actually $23.6.

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Answer:

The theoretical probability of rolling a 4 on any given roll for a six-sided die is [tex]\frac{1}{6}[/tex], The experimental probability of rolling a 4 is [tex]\frac{6}{25}[/tex].

Step-by-step explanation:

Answer:

Hope the picture will help you........

The relationship between points R , S , and T is that the sum of the RS and RT will be equal to  RT that is RT=RS+ST

Collinear points are defined as the points which lie on the same line. Here we have three points R, S and T that are collinear.

We have the length equal to:

RS=5, RT=12 ST=7

So we can set the relationship as the sum of the RS and RT will be equal to  RT.

So the relation will be given as:-

RT=RS+ST

hence the relationship between points R , S , and T is that the sum of the RS and RT will be equal to  RT that is RT=RS+ST

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Answer:

R, S, and T

Step-by-step explanation:

collinear, is the relationship between all the points

Answer:

Step-by-step explanation:

Remark

You can get 1/2 the unknown just by looking at the givens. The slope is just given -- no need to modify it.

The y intercept is a little harder. You need the point for that.

Givens

Slope = 1/2

point = (-6,8)

Formula

y = mx + b

Solution

m = 1/2

y = 1/2x + b              To find b,

8 = 1/2(-6) + b

8 = -3 + b                 Add 3 to both sides

8 + 3 = b

b = 11

Answer

y = 1/2x + 11

Answer:

y = 1/2x+11

Step-by-step explanation:

Slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

y = 1/2x +b

We can use the point on the line to find b

8 = 1/2(-6) +b

8 = -3+b

Add 3 to each side

8+3 =-3+3 b

11 = b

y = 1/2x+11

Answer:s=12

Step-by-step explanation:s divided by 24 equals 12

Answer:

the first equation or the one below it

Step-by-step explanation:

please mark me as brainliest

Step-by-step explanation:

the area of a triangle is always

baseline × height / 2

where baseline and height are perpendicular (with a 90° angle) to each other.

it does not matter, if the height is inside or outside of the triangle.

so, in our case the area is

4×5/2 = 2×5 = 10 units²

The area of the triangle given in the figure is 10 units².

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given a triangle.

The formula to find the area of the triangle is,

Area  = 1/2 × base × height

Base = 4 units

Height = 5 units

Area of the triangle = 1/2 × 4 × 5

                                 = 10 units²

Hence the area of the triangle is 10 units².

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5000

Measurements can be given in multiple units. Unit conversion is important, especially when dealing with formulas because sometimes only specific units work.

Metric System

In this case, the question is asking about kilometers (km) and meters (m), both of which are in the metric system. Unit conversions are easier in the metric system because it uses prefixes that give you extra information. Each of the prefixes means a different number.

These are not all of the possible prefixes, but they are the most common. This means that a decameter represents 10 meters and 1 millimeter is 1/1000 of a meter.

Conversion

Using the prefixes above, we can tell that 1 kilometer is 1000 meters. So, we can multiply whatever amount of kilometers we have by 1000. This will gives the number of meters.

Thus, 5 km = 5000 m.

Answer:

45 mile

Step-by-step explanation:

One inch is equivalent to 5 miles. Given this comparison in regards to scale, 9 inches would simply be 9 times that. In basic terms, 9 times or inches multiplied by each 5 mile increment would be stated as 9 inches x 5 miles, resulting in a 45 mile distance between the two cities.

Answer:

Answer:

(-4 , 2)

Step-by-step explanation:

      3y - 2x ≥ 8

The ordered point (-4 ,2) satisfies the inequality. So, (-4,2) is the solution for the equation.

3*2 - 2*(-4) ≥ 8

     6 + 8  ≥ 8

         14  ≥ 8

Answer:

pair 1:  (0, - 24)

pair 2: (1, -12)

Step-by-step explanation:

y = 12x − 24

A pair of values that make the linear equation true:

the easiest value is always 0!!

if x = 0 than plug it in to find y

y = 12(0) − 24 → y = -24

so the pair is (0, - 24)

if x = 1 than plug it in to find y

y = 12(1) − 24 → y = 12 - 24

so the pair is (1, -12)

Answer:

  4.0%

Step-by-step explanation:

If we assume that potential impact sites are uniformly distributed over the area, the probability of interest is the ratio of the area of Connecticut to the area of the circle within 200 miles of Hartford.

__

The area of a circle with radius 200 miles is ...

  A = πr²

  A = π(200 mi)² = 40000π mi² ≈ 125,664 mi²

The area of a rectangle 100 miles by 50 miles is ...

  A = LW

  A = (100 mi)(50 mi) = 5000 mi²

The probability of interest is the ratio of these areas:

  p(impact in CT) = (5000 mi²)/(125664 mi²) ≈ 0.03979

The probability the meteor landed in Connecticut is about 4.0%.

Answer:

7.85

Step-by-step explanation:

Arc Length Formula

[tex]\text{arc length} = 2 \pi r (\frac{\text{angle in degrees}}{360^\circ})[/tex],
where r is radius.

Given information:

m<JKL = 30°

JK = r = 15 units

Substitute in equation and solve.

[tex]\text{arc length} = 2 \pi r (\frac{\text{angle in degrees}}{360^\circ})\\\text{arc length} = 2 \pi (15) (\frac{30^\circ}{360^\circ})\\\text{arc length} = \frac{5}{2} \pi \approx 7.85398\\\text{arc length} = 7.85 \text{ units}[/tex]

Answer:

Step-by-step explanation:

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Using the confidence interval, it is found that the correct option regarding the valid conclusion they can make is given by:

b. Because the confidence interval includes 0, we don't have convincing evidence that there is a difference in reaction time.

At the null hypothesis, it is tested if there is not a difference in reaction times, that is:

[tex]H_c - H_d = 0[/tex]

At the alternative hypothesis, it is tested if there is a difference, that is:

[tex]H_c - H_d \neq 0[/tex]

The interval contains 0, hence there is not enough evidence to reject the null hypothesis, which means that option B is correct.

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