factors maths question! need help urgently

There are a total of 27 steps on the staircase.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Let x be the total number of steps in the staircase.

Larry climbs exactly 2/3 of the stairs.

Number of steps Larry climbed = 2x/3

She goes back exactly 1/2 of the way to the bottom.

Number of steps returned = (2x/3) (1/2) = 2x/6 = x/3

She is at x/3 steps from the bottom.

From that spot, she climbs exactly 2/3 of the way to the top.

Remaining steps to the top = x - x/3 = 2x/3

Number of steps Larry climbed = 2/3 of the way to the top = (2/3)(2x/3) = 4x/9

So we get,

x/3 + 4x/9 + 6 = x

x - x/3 - 4x/9 = 6

x - 7x/9 = 6

2x/9 = 6

2x = 54

x = 27

Hence there are 27 steps in the staircase.

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The complete question is as follows :

Lara starts at the bottom of a long staircase. She climbs exactly 2/3 of the stairs. Then, she goes back down exactly 1/2 of the way to the bottom. From that spot, she climbs exactly 2/3 of the way to the top. Finally from there, she climbs 6 stairs to reach the top. How many stairs are in the staircase?

Answer: True

Step-by-step explanation: AAA is not a rule for congruent triangles. Even though all the angles are the same, the side lengths might not be. So you have no way of knowing if it is congruent.

As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.

The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:

Number of Heads / Total Number of Flips = Experimental Probability of Heads

The number of heads in this case is 48, and the total number of flips is 100. Therefore,

Heads Experimental Probability = 48 / 100 = 0.48

We can multiply this by 100 to get a percentage:

Heads Experimental Probability = 0.48 * 100 = 48%

As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.

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Answer: 5/3a + 4/2b

Step-by-step explanation:

\(\dfrac{4}{3} a-\dfrac{1}{2} b+\dfrac{1}{3} a+\dfrac{5}{2} b\)

Rearrange:

\(\dfrac{4}{3} a+\dfrac{1}{3} a-\dfrac{1}{2} b+\dfrac{5}{2} b\)

Combine Like Terms:

\(\dfrac{4}{3} a+\dfrac{1}{3} a=\dfrac{5}{3} a\\-\dfrac{1}{2}b+\dfrac{5}{2} b=\dfrac{4}{2} b\)

\(\fbox{$\dfrac{5}{3}$a + $\dfrac{4}{2}$b}\)

A: There are 33,216 possible passwords. The probability of having a 5 character password ending in 0 is 2.7%. The probability of having an all digit password is 0.16%.

The total number of possible passwords can be calculated by multiplying the number of options for each character. There are 26 uppercase letters and 10 digits, so for a 4 character password there are 26 x 26 x 10 x 10 = 67,600 possible combinations. For a 5 character password there are 26 x 26 x 10 x 10 x 10 = 336,960 combinations. Therefore, there are 33,216 possible passwords if the password must be 4-5 characters long and contain at least one digit. The probability of having a password which is 5 characters long and ends in a zero is 2.7%. This is calculated by dividing the number of possible passwords that end in 0 (1,680) by the total number of possible passwords (33,216). The probability of having an all digit password is 0.16%. This is calculated by dividing the number of possible all digit passwords (5,120) by the total number of possible passwords (33,216).

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R = (ax - p)/(q + bx)

(ax - p) = R(q + bx)

ax - p = Rq + Rbx

ax - Rbx = Rq + p

x(a - Rb) = Rq + p

x = (Rq + p)/(a - Rb)

Answer:

a. $1.40

b. $8.40

c. 15 lbs

that's all i know but i hope this helps!

Answer:

His new income is $26,910.

Step-by-step explanation:

As Regi has received an increase in his annual salary that has represented $ 910 in his payment, to determine his new salary the following calculation must be performed:

910 / 3.5 = 1% salary

260 = 1% salary

260 x 100 = previous salary

26,000 = previous salary

26,000 + 910 = current salary

26,910 = current salary

Therefore, his new income is $26,910.

Answer:

13

Step-by-step explanation:

The perimeter is all of the sides added together. Because this is a rectangle, the length and width are the same on both sides. They gave you the length and width, so just add them:

4 + 4 + 2.5 + 2.5 = 13.

So the perimeter of the shape is 13.

Answer:

13 m

Step-by-step explanation:

2.5 + 4 + 2.5 + 4

2.5 + 2.5 + 8

5 + 8

13

The function that correctly defines S(x) is S(x) = 5x - 2(20 - x) + 20

We have the following definitions in the question

If the total questions is 20, then

Incorrect answers = 20 - x

So, the points gained/lost are

Gained = 5 * x = 5x

Lost = -2 * (20 - x) = -2(20 - x)

Bonus = 20

Add the above points to get the function S(x)

S(x) = 5x - 2(20 - x) + 20

Hence, the definition is S(x) = 5x - 2(20 - x) + 20

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The remaining credit after 63 minutes of calls is $19.92.

From the information illustrated, the remaining credit after 36 minutes of calls is $24.24, and the remaining credit after 55 minutes of calls is $21.20.

The rate will be:

= (24.24 - 21.20) / (55 - 36)

= 3.04 / 19

= 0.16

The remaining credit after 63 minutes of calls will be:

= $21.20 - ((63 - 55) × $0.16)

= $21.20 - $1.28

= $19.92

The credit is $19.92.

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Answer:

A. -10¹

B. 0

C. 0.00001

D. 10³ (exponent is negative 3)

E. 10⁰

F. 10²

Answer:

Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:

1. $341 = 11 \times 31$

2. $458 = 2 \times 299$

3. $460 = 2^2 \times 5 \times 23$

4. $479 = 13 \times 37$

Answer:

6,908.25$

Step-by-step explanation:

First, convert R to a decimal.

So R=0.1383

Next, 42 months = 3.5 years

A=4655(1+(0.1383 * 3.5))  = 6,908.25275

The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and

he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.  It is defined as the length of the opposite side divided by the length of the hypotenuse

The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360

2∅  2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720

sin 2∅ = sin0 = 0; Sin90=1;  sin180=0; sin240= -0.8660; sin270 = -1;

Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397

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For the function f(x) = 7/8x² - 14, the x-intercepts are x = -4 and x = 4.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

To find the x-intercepts of the function f(x), we need to solve the equation f(x) = 0.

f(x) = 7/8x² - 14

Substitute f(x) with 0 -

0 = 7/8x² - 14

Add 14 to both sides -

7/8x² = 14

Multiply both sides by 8/7 -

x² = 16

Take the square root of both sides -

x = ±4

Therefore, the x-intercepts of the function f(x) are x = -4 and x = 4.

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Answer:

Base A and Height B

Base C and height A

Base B and Height C

Answer:

Christianity

May god Bless you

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

its the largest, positive number

Answer:

EF is a diameter

r = 12/2 = 6 meters

Area = π6^2 = π * 36 = 113.04 = 113 square meters ( rounded off).

Step-by-step explanation:

near 80-100

Step-by-step explanation:

If you have them all in a row

Answer:

a diabetic cant have more than a 19g banana

Answer:

f(x) = 15 (3) ^x

Step-by-step explanation:

The form of an exponential function is

y = a b^x

a is the initial value  so a = 15

y = 15 b^x

b > 1 when there is growth so

f(x) = 15 (3) ^x

All the values of x, y and z are,

z = 12.99

y = 7.01

x = 28.3 degree

We have to given that;

In a triangle,

Two angles are, 61.7 degree and 90 degree

And, One side is, 14.76.

Now, We can formulate;

sin 61.7° = Perpendicular / Hypotenuse

sin 61.7° = z / 14.76

0.88 = z / 14.76

z = 0.88 x 14.76

z = 12.99

And, By Pythagoras theorem we get;

14.76² = z² + y²

14.76² = 12.99² + y²

217.85 = 168.74 + y²

y² = 217.85 - 168.74

y² = 49.1

y = 7.01

And, By sum of all the angles in triangle, we get;

x + 61.7 + 90 = 180

x + 151.7 = 180

x = 180 - 151.7

x = 28.3 degree

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Functions f(x) = x² + 1 and g(x) = x – 4, the value equivalent  to f(g(10)) is, 37

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

f(x) = x² + 1

g(x) = x – 4

f(g(10)) = ?

f(g(x))  =  (x - 4)² + 1

           =  x² - 8x + 16 +1

           =   x² - 8x + 17

f(g(10)) =  10² - 8×10 + 17

            = 100 - 80 + 17

            = 37

The value of  f(g(10)) is 37

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Answer:The solution is in the attached filefile.Ifilefile.If you still don't understand,I'm ready to explain more

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

-4-3(3)

-4-9 = -13