Find the 61st term of the arithmetic sequence -12, -28, -44, ...

Romans experimental probability is 0.176.

Probability simply means the likelihood that something will happen or take place.

In this case, Roman spun the spinner 34 times and landed on 4 a total of six time.

The probability will be:

= Number of occurence / Total available value

= 6 / 34

= 0.176

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Answer:

23,420

Step-by-step explanation:

10^2=100

4.2×100=420

10^4=10,000

2.3×10,000=23,000

420+23,000=23,420

Answer:

Step-by-step explanation:

Here is what the mixed number looks like. [tex]W\frac{R}{D}[/tex]

W- whole numbers (that is the integers)

R- remainder

D- denominator

If you ever want to convert an improper fraction to a mixed number, here are the steps.

Step 1: Use traditional division. How many does 3 goes into 7? 2 times with remainder, R=1 (how many is left over after dividing).

Step 2: Replace the unknowns with D=3

Note: the denominator always stays the same!

[tex]2\frac{1}{3}[/tex]

The value of the base in the given triangle is 22.96.

Three edges and three vertices make up the three sides of a triangle, which is a three-sided polygon in geometry. The fact that a triangle's internal angles can be added up to equal 180 degrees is its most significant characteristic. Triangle's angle sum property is what this characteristic is known as.

We have given to find m, we will use cosine rule

cos ∅ = base/hypotenuse

Here ∅ = 35°

Base = m

Hypotenuse = 28

lets substitute the values and we get,

⇒ cos 35° = m/28

⇒ m = cos 35°  × 28

⇒ m = 0.82 × 28                   ( cos 35° = 0.82)

⇒ m = 22.96

Thus, the value of the base in the given triangle is 22.96.

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Use proportions to find the values that must be in the blanks.

For the first blank, 2 is to 5 as the value is to 10:

The first blank must be filled with 4.

For the second blank, 2 is to 5 as 6 is to the value:

The second blank must be filled with 15.

For the last blank, 2 is to 5 as the value is to 25:

The last blank must be filled with 10

Step-by-step explanation:

can we become friends????

Answer:Im not sure, but i think it's 443,17$

Step-by-step explanation:

She worked 37 Hours
37*9,25 (9,25 is the money she got by each hour) = 342,25

The sum of all sales is 3,364$, 3% of that is 100,92


342,25 + 100,92 = 443,17

The domain and the range of the function y = 4(2x) + 1 are oo < x < oo and oo < y < oo

The function is given as

y = 4(2x) + 1

Rewrite as a function

f(x) = 4(2x) + 1

Next, we plot the graph of the function (see attachment)

From the graph, we can see that the graph is a linear graph

This means that the function has a domain and a range of all set of real values

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The cost of tickets for senior citizen and students are $11 and $13 respectively.

To solve this problem, we have to write out system of equations and solve the value of the unknown.

Let;

We can express the problem mathematically as;

[tex]6x + 4y = 118..eq(i)\\14x + 8y = 258 ...eq(ii)[/tex]

Solving for x and y;

[tex]6x + 4y = 118..eq(i)\\14x + 8y = 258 ...eq(ii)\\x = 11, y = 13[/tex]

From the calculations above, the value of x and y are 11 and 13 respectively.

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Answer:

Step 1: Judging by the relative lengths of the sides of the two triangles, we can conclude that A corresponds to T, B to S, and C to R, which we can write as

△

A

B

C

∼

△

T

S

R

.

In particular, the smallest sides

A

B

and

T

S

are corresponding sides with known lengths, so we form the ratio of their side lengths

9

15

. Remember that all ratios of corresponding side lengths are equal.

Step 2: Next we form a ratio that involves

x

. Since

B

C

and

S

R

are corresponding sides, we know that the ratio of their side lengths equals the ratio from Step 1:

18

x

=

9

15

Step 3: Finally, we cross-multiply and solve for

x

:

x

⋅

9

=

18

⋅

15

9

x

=

270

x

=

270

9

=

30

That is, the missing side length is 30.

Answer:

Step-by-step explanation:

Need to give more information to solve this problem

Um maybe try it out then ask for help from the teacher

Answer:

Step-by-step explanation:

Given equation:

The first step:

We see right side is same and changes on the left side, similar to:

where the factors are differently grouped, but it doesn't change the product.

This property is called:

The matching choice is C

Answer:

5/2

Step-by-step explanation:

The statement that describes the graph of the proportional relationship is:

"A line passes through the point (0, 0) and continues through the point (15, 5)."

We have a proportional relationship defined by the following table:

x: 15, 8, 21

y: 5, 3, 7

Remember that a general proportional relationship is given by the formula:

y = k*x

Where k is the constant of proportionality.

If we take x = 0, we always get:

y = k*0

y = 0

So the line always passes through the point (0, 0).

And by using the information on the table, we also know that the line passes through (15, 5), (9,3) and (21, 7).

Then the correct option is:

"A line passes through the point (0, 0) and continues through the point (15, 5)."

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Considering the given line and plane, it is found that:

1. Points E and F are colinear to point D.

2. Another name for line p is line AB, as these two points form the line.

3. The intersection of line r and plane K is at point X.

4. One point non-coplanar to plane K is of W.

Two points are colinear if they belong to the same line. In the context of this problem, points D, E and F belong to line q, hence points E and F are colinear to point D.

Given two points, there is only one line that can pass through these points. Line p in this problem is composed by points A and B, hence the line can also be called line AB.

The intersection of a plane and a line is at a single point, and the point of line r that is coplanar to plane K is point X, hence it is the intersection of the line with the plane.

Item 4

A point is coplanar to a plane when the point belongs to the plane. In this problem, points W and Y do not belong to plane K, hence both are non-coplanar to plane K.

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1.The two sides of the triangle that form the right angles. Are always the two shortest lengths given - Legs

2.The sides that's opposite the right angle. The length of this is always greater than the length of either leg.- Hypotenuse.

3. The triangle that contains a right angle(90°) - Right triangle.

4.In a right triangle the sum of the squares of the lengths of the legs equals the square of the lengths of the hypotenuse. - Pythagorean Theorem.

What is a right triangle?

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Answer:

-15/1 is a rational number that gives you the answer. There is other answers such as -45/3 to get -15, but -15/1 is much simpler.

Step-by-step explanation:

-15/1 is a rational number that gives you the answer. There is other answers such as -45/3 to get -15, but -15/1 is much simpler.

Answer:

(20/4)

Step-by-step explanation:

The term "quotient" implies division, which is present in the (20/4) part of the expression.

Total number of people 400 started at the beginning. To calculate the percentage, divide the value by the total value and multiply the result by 100.

Therefore,

Percentage of students dropped = 3%

Number of people dropped this year= 12

To find Total students = (12/3) * 100 = 400

That is to find how many people dropped is = 400 *(3/100) = 12

so we  can rearrange the  formula .

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Answer:

Explanation:

Let's refer to 1st the handle as A and the 2nd handle

Answer: t≈8.93 units

Step-by-step explanation:

The cosine of an angle (cos) is the ratio of the adjoining leg of a right triangle to the hypotenuse

Hence,

[tex]\displaystyle\\cos56^0 =\frac{5}{t} \\[/tex]

Multiply both parts of the equation by t(t≠0):

[tex]\displaystyle\\cos56^0(t)=\frac{5}{t} (t)\\\\t(cos56^0)=5[/tex]

Divide both parts of the equation by cos56°:

[tex]\displaystyle\\t=\frac{5}{cos56^0} \\\\t\approx\frac{5}{0,56} \\\\t\approx8,93\ units[/tex]

We have the following equation to find the simple interes:

where P is the principal amount, r is the rate and n is the time period.

In this case, we have the following:

thus, the interest after 1 year is $240.

To find the future value, we can add the interest to the principal amount to get:

therefore, the future value is $6240

Answer:

the 3(2m+1m) and 9m.

Step-by-step explanation:

Answer:%56

Step-by-step explanation:

Answer: 4 =division 5=multiplication6=subsitution

Step-by-step explanation:

Simple rules

The mathematical expression f(x)=exp or ex denotes the exponential function. A function is said to be an exponential function when the value of the function increases/decreases rapidly.

The mathematical expression f(x)=exp or ex denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

When the input variable x appears as an exponent in the formula f(x) = ax, an exponential function is indicated. The exponential curve is influenced by both the exponential function and the value of x. x can be any real number in the case when a>0 and a=1 are true.

The complete question is,

Which situations can be represented by an exponential function? select each correct answer. an event organizer finds each year's attendance for the past five years is about 45 of the previous year's attendance. on the highway, Kareem's car gets 38 mpg. shu fang has $25.75 deducted from her checking account every month. a toad population is increasing by about 7.5% each year?

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Answer:

Step-by-step explanation:

Given incorrect statements regarding cost relationships involving tickets and hamburgers at a basketball game, you want the corrected versions.

Each given relation involves two elements of the costs in the given situation. The incorrect relation can be resolved two ways: changing one of the elements, or changing the other one.

This can be corrected by identifying what the slope represents:

  The slope represents Arlie's cost per hamburger.

Or, by saying what represents total cost.

  The value of the cost function represents total cost.

This can be corrected by identifying the cost of 4 hamburgers:

  If Arlie buys 4 hamburgers, his cost of hamburgers will be $12.

Or, by saying what the total cost is with 4 hamburgers:

  If Arlie buys 4 hamburgers, his total cost is $15.50.

This can be corrected by identifying Arlie's initial cost at the game:

  Arlie's initial cost at the game is the price of the ticket.

Or, by saying the price per burger:

  Arlie found that $3.00 at the game is the price per burger.