A fair coin is tossed three times. What is the probability of getting exactly two heads in the three tosses?

The value of next two terms are,

⇒ 0 and - 60

A relation between a set of inputs having one output each is called a function.

Given that;

The values are,

⇒ f (1) = 120,

⇒ f (2) = 60

And, The function is,

⇒ f (n) = f (n - 1) + ___

For n ≥ 2

Now,

Since, The values are,

⇒ f (1) = 120,

⇒ f (2) = 60

And, The recursive formula is,

⇒ f (n) = f (n - 1) + b

For n ≥ 2

Substitute n = 2;

⇒ f (2) = f (2 - 1) + b

⇒ 60 = f (1) + b

⇒ 60 = 120 + b

⇒ b = 60 - 120

⇒ b = - 60

So, The recursive formula is,

⇒ f (n) = f (n - 1) - 60

Substitute n = 3;

⇒ f (3) = f (3 - 1) - 60

⇒ f (3) = f (2) - 60

⇒ f (3) = 60 - 60

⇒ f (3) = 0

Substitute n = 4;

⇒ f (4) = f (4 - 1) - 60

⇒ f (4) = f (3) - 60

⇒ f (4) = 0 - 60

⇒ f (4) = - 60

Thus, The next two term are 0 and - 60.

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Answer:

choice 3) 11,488.21 cm³

Step-by-step explanation:

r= 28/2 = 14

volume = 4/3πr3 = 4/3(3.14)(14³) = 11,488.21 cm³

There are 12 weeks will Sonja's balance remain above $377.

What is account balance?

The balance is the sum owed on an account in banking and accounting. The term "balance" in bookkeeping refers to the difference between the total of debit entries and the total of credit entries made into an account over the course of a given financial period. The account shows a debit balance when total debits exceed total credits.

Given:

Sonja has a bank account balance of $1400. Each week, her balance changes by -$85.25. She wants to keep the balance above $377.

We have to find the number of  weeks will Sonja's balance remain above $377.

Let, $1400 - $377 = $1023.

⇒  $1023 / $85.25 = 12

Hence, there are 12 weeks will Sonja's balance remain above $377.

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Answer: 72 feet²

Step-by-step explanation: Area scale factor = 1.5² = 2.25 Area of the window after it is enlarged = Original area × 2.25 The original area = 8 feet × 4 feet = 32 feet² Area of the window after it is enlarged = 32 feet² × 2.25 = 72 feet²

Answer: 112 degrees

Explanation:

By the alternate interior angles theorem, m<CAD=40 and m<ACD=28. The quadrilateral is divided into two triangles. The sum of the angles of a triangle is equal to 180 degrees. Now that you know the measurements of two out of the three angles, you can add them up and subtract them from 180.

180-(40+29)=112

The length of the triangle ΔABC will be √7 inches.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

In triangle ΔABC, AC = BC, the CD is perpendicular to AB with D belonging to AB, AB = 4 inches, and CD = √(3) inches.

The CD is half of the length AB. Then we have

CD = AB / 2

CD = 4 / 2

CD = 2 inches

Then the length of AC is calculated as,

h² = (√3)² + (2)²

h² = 3 + 4

h= √7 inches

The length of the triangle ΔABC will be √7 inches.

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The Power e is to which a number should be raised to get the specified number is called the logarithm of that specific number. For example, the logarithm to the base of 10 of 1000 is 3 because 10 raised to the power 3 is 1000.

The logarithmic function is the reverse of the Mathematical function of the exponential function. The logarithmic function is log ax = y is equal to x = ay.

There are mainly two types of logarithms normally used in Mathematics. They are one is common logarithms and second natural logarithms.

The log number ‘e’ is an irrational Mathematical constant and is mostly used as the base of natural logarithms. The number ‘e’ is the only unique number in mathematics whose value of natural logarithm is equal to unity.

The value of log ‘e’ was calculated in 1683 by Jacob Bernoulli.

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Answer: 105x²y

Step-by-step explanation:

[tex]12 \frac{3}{4} [/tex]

or 12.75

Answer:

x=12.75

Step-by-step explanation:

Follow the steps within the image.

-Hope this helped

Answer:

2x+14

Step-by-step explanation:

2(x+7)

2x+2x7

then you have your answer 2x+14

1.75% is rate of increse does not change.

What's the math rate?

An unusual ratio in which the two parts are expressed in distinct units is called a rate. The price is 69 for 12 ounces, for instance, if a 12-ounce can of maize costs that much.

                    This is not a proportion of two comparable units, like shirts. This ratio combines the values of the two dissimilar units, cents and ounces.

1960 = 88,000,000

2010 = 242,000,000

formula: (new-old)/old* 100

(242,000,000 - 88,000,000)/88,000,000 * 100

154,000,000/88,000,000*100

1.75*100

= 1.75%

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By graphing both equations on the same axis and findin where do they intercept, we willsee that the solution is (-2, 6).

Here we have the following system of equations:

y = x + 8

y = -(1/2)x+5

And we want to solve it graphically.

To solve it in that way, we just need to graph both equations on the same coordinate axis and find the ponit where the graphs intercept, that point will be the solution for the system.

The graph of the system of equations can be seen in the image below:

There, we can see that the lines intercept at the point (-2, 6), so that is the solution of our system.

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Answer:

I think it would be 23

Step-by-step explanation:

not sure hope this helps if not leave the answer in the comments, have a good day.

Sum of all angles of a triangle = 180°

Let the angle be x.

So,

x+104°+53° = 180°

x + 157° = 180°

x = 180° - 157°

x = 23°

So, the unknown angle is of measure 23°.

The sum of the natural numbers is (a) 25

From the question, we have the following parameters that can be used in our computation:

Number type = natural number

Condition = 5 times bigger than their last digit

This means that

Number = 5 * Last digit

Because the number is a natural number, then the number cannot end in 0

This is so because 0 is not a natural number

Solving further, the last digit of the number is at most, 9

Using the above as a guide, we have the following:

The number is at most 45 i.e. 5 * 9

Also, it means that it can not have more than 2 digits.

The above highlights in a nutshell is that the number is a multiple of 5 that does not end in 0 and the last digit is 5

Since the last digit is 5, then we have the number to be 25 i.e. 5 * 5

Hence, the number is (a) 25

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Answer:

A) 22%

Step-by-step explanation:

probabilities of selecting:

starburst = .40

jolly = .18

milky = .20

These probabilities total 78% which means the other 22% must be what remains for snickers.

Answer: 32

Step-by-step explanation: 4 x 8 = 32 . I am concerned how simple this is ;-;

Answer:

32

Step-by-step explanation:

each boxes have 4 muffins

so,in 8 boxes

by question

8×4=32

The coefficient of Y is 10 in  2y 5.

Any integer or symbol that multiplies the variable of a single term or the terms of a polynomial to represent a constant value is known as a coefficient in mathematics. In some phrases, a letter might be substituted for the usual number. For example, x is the variable and a and b are the coefficients in the formula: ax2 + bx + c.

What is a coefficient?

A coefficient is a quantity or number that is coupled with a variable. Frequently, an integer is multiplied by the variable and written next to it. The variables that don't have a corresponding number are presumed to have a coefficient of 1.

10 is the Y coefficient in 2y 5.

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Answer:

1 + 2x

Step-by-step explanation:

3x + 1 - 6x + 4x + x ← collect like terms

= 1 + 2x

Sum of 3x, (1 - 6x), 4x and x is 2x + 1.

A summation, also called a sum, is the result of arithmetically adding numbers or quantities. A summation always contains a whole number of terms. There can be as few as two terms, or as many as a hundred, a thousand, or a million. Some summations contain infinitely many terms.

A sum is the result of an addition.

Sum is a way of putting all things together. The sum brings two or more numbers together to make a new total.

According to the question

We have to find the sum of 3x, (1 - 6x), 4x and x

A sum is the result of an addition.

Sum = 3x + (1 - 6x) + 4x + x

Sum = 3x + 1 -6x + 4x + x

Sum = 8x - 6x + 1

Sum = 2x + 1

Hence,

Sum of 3x, (1 - 6x), 4x and x is 2x + 1.

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Answer:

16

Step-by-step explanation:

8*2*1=16

Answer:

7.5% of x = 15

75%x=15

15/75%=x

200=x

Therefore

x=200

Answer:

? whats the number your multiplying by

Step-by-step explanation:

Answer:

-12.5

Step-by-step explanation:

Hope it helps

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Answer:

6

Step-by-step explanation:

If u add up all sides of a cube, you get 6 because there's 6 sides.

Answer:

6 in

Step-by-step explanation:

There are 6 sides of a cube and each is 1 in so it adds up to 6 in

On solving the provided question we cans ay thatVertical Angles: TZU, XZW Adjacent Angles: TZU, UZV are Vertical angle and adjacent angle.

What is Vertical angle and adjacent angle,?

Vertical angles are two angles that share the same vertex and are formed by two intersecting lines. They are congruent (i.e. have the same measure) and are opposite each other

Adjacent angles are two angles that share a common vertex and side, but do not overlap. They are also called "next to" or "sharing an arm" angles.

Fig 1:

Vertical Angles: NMJ, LMK

Adjacent Angles: NMJ, JMK

Fig 2:

Vertical Angles: DEA, CEB

Adjacent Angles: DEA, AEB

Fig 3:

Vertical Angles: LQM, PQN

Adjacent Angles: LQM, MQN

Fig 4:

Vertical Angles: TZU, XZW

Adjacent Angles: TZU, UZV

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Answer:

130,a circle is 360 around so minus 230

The amount of money which the chef spends on steak as calculated from the data given is found to be $412.50.

Now as we know that ,

for a meal of 12 meals the chef uses 3 pounds.

Therefore , for a meal of 250 meals the chef uses x pounds

Now , we will solve this proportion.

x=(250 meals*3 pounds)/12 meals

= 62.5 pounds

Now , cost of steaks = 6.60 dollars.

Therefore cost of 62.5 pounds of steaks will be ,

62.5 pound x $ 6.60/pound

=  $ 412.50

A comparison between two numbers is called a proportion. If two sets of provided numbers increase or decrease in the same ratio, then the ratios are said to be directly proportional to each other.

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The correct order of match is 1-a, 2-b, 3-d and 4-c.

The term "conic" refers to a curve formed by the intersection of a right circular cone with a plane. In Euclidean geometry, it has distinctive features. The cone is split into two nappes, the upper nappe and the lower nappe, at its vertex.

A plane crosses the cone, and the resulting section is referred to as a conic section.

Given the equations,

the equation for parabola is given by

(y - b)² = 4p(x - a)

Vertex is (a,b)

equation 2 follows the same

x = -2(y - 4)² + 3

this is the equation for parabola.

Equation for ellipse is

(x − a)²/h² + (y − b)²/k² = 1

the equation x²/4 + (y - 8)²/144 = 1

(x/2)² + ((y - 8)/12)² = 1

the equation is same is equation for ellipse,

Equation for circle

(x - h)² + (y - k)² = r²

fourth equation

(x - 9)² + (y + 2)² = 7²

is same as equation of circle

Equation for hyperbola

(x − a)²/h² − (y − b)²/k²  = 1

equation (x - 3)²/5 - (y + 4)²/25 = 1

is same as equation of hyperbola.

Hence the correct order is a, b, d, and c.

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Answer:

Slope = -2  Y intercept is (0,4)

Step-by-step explanation:

The equation of the straight line in slope - intercept form will be y = (1/4)x - 2.

The slope - intercept form of a line is -

y = mx + c                                                     ... { 1 }

where -

{m} is slope of line.
{c} is y - intercept of the line.

Given is the slope of the line as {m} = 1/4 and the y - intercept as {c} = -2.

From Eq { 1 }, we can write the slope - intercept form as -

y = mx + c

y = (1/4)x - 2

Therefore, the equation of the straight line in slope - intercept form will be y = (1/4)x - 2.

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Answer:

120 km/h

Step-by-step explanation:

average speed=total distance÷time

=1080÷9

=120 km/h