In one lottery, a player wins the jackpot by matching all five distinct numbers drawn in any order from the white balls (1
through 43) and matching the number on the gold ball (1 through 34). If one ticket is purchased, what is the probability
of winning the jackpot?

Answer:

5 more matches was won by yu-na kim

Answer:

4

Step-by-step explanation:

the y intercept three is 4 away from -1

The function which represents a graph which has been vertically shifted by 3 units is; y= log (x) + 3.

It follows from the task content that the graph which has been shifted vertically is to be identified.

For a vertical shift, it means that the y value of such graphs must have increased or decreased. This is However, evident in the equation y= log (x) + 3 and hence, is the solution.

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Answer:

D. \(10^{\circ}\)

Step-by-step explanation:

Let the measure of minor arc \(AE\) be \(\alpha\) and the measure of minor arc \(BD\) be \(\beta\).

Using the secant-secant theorem, \(\frac{\alpha-\beta}{2}=32 \implies \alpha-\beta=64^{\circ}\).

By the inscribed angle theorem, \(\alpha=84^{\circ}\).

Thus, \(\beta=20^{\circ}\).

By the inscribed angle theorem, \(x=10^{\circ}\).

Answer:

Step-by-step explanation:

1) with the angle 120degrees, we know that external angles on a pair of parallel lines are the same. we can give this as an equation  

120 = x + 130

re arrange to make x the subject

so subtract 130 on both sides

120-130=x

-10=x

x=-10

2) Corresponding angles in between parallel lines are the same. we can write this as

15x = 75

rearrange to make x the subject

x = 75 ÷ 15

x = 5

3)Internal angles inbetween parallel lines add to 180, so we can turn this into an equation

14x - 3 = 85

14x = 88

x = 88 ÷ 14

x = 6.285714 or just 6.29

Answer:1.2675x10^37

Step-by-step explanation:

3.9x10^33 x 3.25x10^3

3.9x3.25x10^33x10^3

12.675x10^(33+3)

12.675x10^36

1.2675x10^1x10^36

1.2675x10^(1+36)

1.2675x10^37

Answer:

for 3.25 ⋅ 10 to the power of 3 should be 3250 because 10 to the power of 3 equals 10 ⋅ 3 = 1000 and 1000 ⋅ 3.25 is 3250 because you move the decimal three places to the right ( someone helped my on it and i got it right)

for 3.9 ⋅ 10 to the power of 33 I think it is 1.2675x10^37

im not sure but i hope it helps :)

The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.

Now, For the greatest distance that can be filmed by a drone with a maximum altitude of 0.12 km, we can use the Pythagorean theorem.

Let's a right triangle with one leg being the radius of the Earth 6378 km and the other leg being the maximum altitude of the drone 0.12 km.

Hence, The hypotenuse of this triangle represents the line of sight from the drone's camera to the horizon.

Hence, By Using the Pythagorean theorem, we can solve for the length of the hypotenuse:

h² = 6378² + 0.12²

h = √40684000.145

h = 6374.5 km

Therefore, The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.

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The length of the rectangle is 10.5 units.

What is perimeter?

Perimeter is the distance of a two-dimensional shape. It is equal to the sum of the lengths of all the sides of the shape. The perimeter is measured in units, such as centimeters, meters, feet, or inches, depending on the unit of measurement used for the dimensions of the shape.

The perimeter of a rectangle is given by the formula:

P = 2l + 2w

where P is the perimeter, l is the length, and w is the width.

In this case, we know that the perimeter is 34 units, and the width is 6.5 units. So we can substitute these values into the formula and solve for the length:

34 = 2l + 2(6.5)

Simplifying, we get:

34 = 2l + 13

Subtracting 13 from both sides, we get:

21 = 2l

Dividing both sides by 2, we get:

l = 10.5

So the equation to determine the length of the rectangle is:

2l + 2w = P

Substituting the known values, we get:

2l + 2(6.5) = 34

Simplifying and solving for l, we get:

2l + 13 = 34

2l = 21

l = 10.5

Therefore, the length of the rectangle is 10.5 units.

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Complete question: The perimeter of a rectangle is 34 units, its width is 6.5 units. Write an equation to determine the length (l) of the rectangle.

Answer:

240°

Step-by-step explanation:

measure of XWZ = 360 - 120 = 240°

The measure of arc wz is 240 degrees.

here, we have,

we know that,

A small arc is one with a measure of fewer than 180 degrees. A major arc is one with a measure greater than 180 degrees. A semicircle is an arc that divides a circle in half and has a measure of 180 degrees.

An arc is a continuous segment of a circle. There are two sections, one of which is larger than the other. The major arc is the larger one, and the minor arc is the smaller one.

Given:

From diagram, m ∠xz = 120 degrees.

We know that whole circle = 360 degrees

So, measure of arc wz = 360 - 120

                                     = 240

Hence, the measure of arc wz is 240 degrees.

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Given dimensions:

x=31 feet, y= 24 feet and z= 95 feet

We can split the shape above into 3 components: A, B, and C

To find the total area, we will find the sum of the areas of each component

For A

The shape of A is that of a semi-circle.

The area of a semi-circle is given to be

The radius will be the diameter divided by 2

y= diameter

r= radius = y/2

r=24/2 =12 feet

pi=3.14

For B

The shape is a rectangle

The area of a rectangle is given by

A = l x b

where l = 31 and b = 24

Area = 31 x 24

Area = 744 square feet

For C

The shape is a triangle

The area of the triangle is given by

base = 64 feet, height = 24 feet

The total area is

22

Answer:

25

Step-by-step explanation:

considering that the coin can either land on heads or tails, the probability of each of those situations is 50%. Now multiply: 50 (the number flips) * 0.5 (probability of tails)= 25

Answer:

4.5 hrs

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

Using the work word problems, 1/3 + 1/6 = 2/6 + 1/6

3/6 = 2

setting 1/x, where 1 is a completed job, then x/1 = 2/1, therefore, the combined effort finishes the job in 2 hours. This is from the best of my knowledge. Purple Math is a great resource if extra help is needed.

Answer:

The correct answer is B: Saturday.

The relationship between Monday and Thursday is that they are two days apart in a typical Monday-to-Sunday week. Similarly, Friday is also two days apart from Tuesday in a typical week, so the relationship between Friday and Tuesday would be the same as the relationship between Monday and Thursday. Therefore, the correct answer is B: Saturday.

cot θ = 7/4 and θ in degrees = 29.744881 degrees. In this case, the adjacent side is 7 and the opposite side is 4.

Cotangent (cot) is the ratio of the adjacent side to the opposite side of a right triangle.

In this right angle triangle, cot θ can be calculated using the formula

cot θ = adjacent/opposite.

In this case, the adjacent side is 7 and the opposite side is 4.

Therefore, cot θ = 7/4.

Now, to find theta in degrees, we can use the inverse cotangent function, arccot.

arccot (cot θ) = θ.

Therefore, θ = arccot (7/4).

Using a calculator, arccot (7/4) = 29.744881 degrees

Therefore, cot θ = 7/4 and θ in degrees = 29.744881 degrees.

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The total principal and interest payment that Nelson will have to pay after 2 months is $4665.50.

To calculate the total principal and interest payment, we need to determine the interest amount and add it to the principal.

First, let's find the interest amount:

Interest = Principal x Interest Rate x Time

Given:

Principal = $4650

Interest Rate = 2% per year

Time = 2 months

Since the interest rate is given on an annual basis, we need to convert the time from months to years. There are 12 months in a year, so 2 months is equivalent to 2/12 = 1/6 years.

Interest = $4650 x 0.02 x (1/6) = $15.50

Now, we can calculate the total principal and interest payment:

Total Payment = Principal + Interest

Total Payment = $4650 + $15.50 = $4665.50

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The solution to this question is the use of a tangent concept.

Let us try to solve the angle alpha.

Answer:

It depends on the number of charms that your bracelet can have.

here we need to count the number of selections that we have, and the number of options for each one of these selections.

So if we can have only one charm, we have only one selection, and for that selection, we have 9 options, then there are 9 different one-charm bracelets.

If each bracelet can have 2 charms then we have two selections.

For the first selection, we have 9 options,

If each charm can be selected only one time, then for the next selection we will have 8 options, now the total number of combinations is equal to the product between the numbers of options for each selection, so here the total number of combinations is:

C = 9*8 = 72

If we can select 3 charms, then:

first charm = 9 options

second charm = 8 options

third charm = 7 options

Total number of combinations = 9*8*7 = 504 combinations.

Notice that we can not give an exact answer because we do not know the number of charms in each bracelet and we do not know if a charm can be selected multiple times or only one, but here you could see the general way to solve this kind of problems.

Answer:

Step-by-step explanation:

To multiply 14/5 and 8/2 using cross multiplication, you can follow these steps:

Write the two fractions next to each other, separated by a multiplication sign:

14/5 x 8/2

Multiply the numerator of the first fraction by the denominator of the second fraction, and write the result as the numerator of a new fraction:

14 x 2 = 28

Write this as a fraction with the denominator of the first fraction:

28/5

Multiply the numerator of the second fraction by the denominator of the first fraction, and write the result as the numerator of a new fraction:

8 x 5 = 40

Write this as a fraction with the denominator of the second fraction:

40/2 = 20

Write the two fractions together as a product:

14/5 x 8/2 = 28/5 x 20

Simplify the product if possible. In this case, we can simplify by dividing both the numerator and denominator of 28/5 by 2:

28/5 = 14/5 x 2/2 = 14/5

So the final result is:

14/5 x 8/2 = 14/5 x 20 = 56

Answer: 40/28 or 10/7 or 1 3/7

Step-by-step explanation:

14/5 x 8/2

= 8 x 5 and 14 x 2

= 40 and 28

Thus, you would just put the 2 numbers in a fraction form to get your product.

If you want the simplified versions, you would get 10/7 or 1 3/7.

Answer:

Step-by-step explanation:

\(\frac{3}{n}\) - 10.

The quotient of 3 and a number translates to \(\frac{3}{n}\), then, all you have to do is subtract 10 from that value, giving the expression above.

Answer:

0.2142857143

Step-by-step explanation:

4/7 × 3/8

=12/56

=0.2142857143.

Answer:

C. -2 and -1

Step-by-step explanation:

-1.5 is bigger than -2 but smaller than -1.

Thus, it is between these two number

Answer:

C

Step-by-step explanation:

Mark me brainlest plzz

Task:

Enter the function's domain, range, and end behavior.

f(x) = 600(0.55)^x

P.S. So it can be found on the internet.

Answer:

domain: {x | x ∈ R}

range: {y | y > 0}

As x approaches -∞, y approaches +∞

As x approaches ∞, y approaches 0

Step-by-step explanation:

Just to describe the function:

\(600(0.55)^{x}\)

600 is basically the y-intercept, 0.55 indicates that the function is decreasing

You have a horizontal asymptote on the y = 0 and the domain is (-∞, ∞)

the range is (0, ∞) because you have the horizontal asymptote at 0

About "x such that" notation, I am not sure but here it is:

domain: {x | x ∈ R}

range: {y | y > 0}

As x approaches -∞, y approaches +∞

As x approaches ∞, y approaches 0

Answer:

y=⅔m-8 or 3y=2m-8

Step-by-step explanation:

put both equations in the form y=mx+c and solve simultaneously. when done, you will recive values for m and c. replace those values into y=mx+c

The present value of an annuity that pays $500 per year from year 1 - 16 is $4711.24

An annuity can be defined as the payment of a specified amount of money for a stated period.

Present value is the value of the discounted cash flows at time zero

Present value is the sum of the discounted cash flows from year 1 to 16

Present value in year 0 = $500

Present value in year 1 =  $500 / (1.08) = 462.96

Present value in year 2 = $500 / (1.08^2) = 428.67

Present value in year 3 = $500 / (1.08^3) =396.92

Present value in year 4 = $500 / (1.08^4) = 367.51

Present value in year 5 = $500 / (1.08^5) =340.29

Present value in year 6= $500 / (1.08^6) = 315.08

Present value in year 7 = $500 / (1.08^7) =291.45

Present value in year 8 = $500 / (1.08^8) = 270.13

Present value in year 9 = $500 / (1.08^9) = 250.12

Present value in year 10 = $500 / (1.08^10) = 231.60

Present value in year 11 = 0

Present value in year 12 = $500 / (1.08^12) =198.56

Present value in year 13 = $500 / (1.08^13) =183.85

Present value in year 14 = $500 / (1.08^14) =170.23

Present value in year 15 = $500 / (1.08^15) =157.62

Present value in year 16 = $500 / (1.08^16) =145.95

Sum of present values is $4711.24

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

look at the picture

Step-by-step explanation:

the picture explains everything

The dot represents the data point of 5, and there are no other data points to include on the dot plot.

You can still make a dot plot even if you just have one number in the tens by placing a dot on a number line above the number. If your data point is 5, for instance, you can represent it by placing a dot above the tick mark for 5 on a number line that has tick marks for each integer from 0 to 9. Here is an illustration of how the dot plot might appear:

  |      

5  •      

  |      

  |      

  |      

  |      

  |      

  |      

  |      

  |      

  +   -   -    -   -   -   -   -

  0  1   2   3  4  5  6  7

There are no additional data points to place on the dot plot because the dot in this illustration represents the data point of 5.

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The relation between the legs and the hypotenuse in the right triangle is

Since leg1 = leg2 = 10 inches

Take a square root for both sides

Round it to the nearest tenth

hypotenuse = 14.1 inches

a. It will take 7 months to pay off the credit card.

b. it will take 4 months to pay off the credit card.

Since, APR stands for Annual Percentage Rate. It is the interest rate charged on a loan or credit card, expressed as a yearly percentage rate. The APR takes into account not only the interest rate, but also any fees or charges associated with the loan or credit card.

a. If you put half of the available money each month toward the credit card, then you are paying $150.00 per month towards the credit card balance.

We can use the formula for the present value of an annuity to find how many months it will take to pay off the credit card:

PV = PMT × ((1 - (1 + r)⁻ⁿ) / r)

where:

PV is the present value of the debt

PMT is the payment amount per period

r is the monthly interest rate

n is the number of periods

Substituting the values, we get:

754.43 = 150 × ((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)

Simplifying and solving for n, we get:

n = log(1 + (PV ×r / PMT)) / log(1 + r)

n = log(1 + (754.43×0.011333 / 150)) / log(1 + 0.011333)

n = 6.18

Therefore, it will take 7 months to pay off the credit card if you put half of the available money each month toward the credit card.

b. If you put all of the available money each month toward the credit card, then you are paying $300.00 per month towards the credit card balance.

754.43 = 300 ×((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)

Simplifying and solving for n, we get:

n = log(1 + (PV × r / PMT)) / log(1 + r)

n = log(1 + (754.43× 0.011333 / 300)) / log(1 + 0.011333)

n = 3.43

Therefore, it will take 4 months to pay off the credit card if you put all of the available money each month toward the credit card.

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