Helen had Php7500 for shopping money. When she got home, she had Php132.75 in her pocket. How much did she spend for shopping?

Answer:

Step-by-step explanation:

If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.  

7x12=84  

1/2x12=6

6+84=90

Answer:

\(x^2 - 2x + 10\), option B

Step-by-step explanation:

Complex numbers:

The most important relation that involves complex numbers is given by:

\(i^2 = -1\)

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

\(ax^{2} + bx + c, a\neq0\).

This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:

\(x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}\)

\(x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}\)

\(\bigtriangleup = b^{2} - 4ac\)

In this question:

The solutions are:

\(x_1 = 1 - 3i, x_2 = 1 + 3i\)

We have to find the polynomial. All option have \(a = 1\). So

\((x - (1 - 3i))(x - (1 + 3i)) = x^2 - x(1 + 3i) - x(1 - 3i) + (1 - 3i)(1 + 3i) = x^2 - x -3ix - x + 3ix + 1^2 - (3i^2) = x^2 - 2x + 1 - 9i^2 = x^2 - 2x + 1 - 9(-1) = x^2 - 2x + 10\)

The correct answer is given by option b.

Answer:

-27

Step-by-step explanation:

3(p-g) p=-8 g=1

3(-8-1)

-27

The next two elementary row operations that should beRow4=Row4-4*Row3. This will make the element zero. The second step is we divide 8 by -2 to get 4th unknown as d=8/(-2)=-4.

A collection of numbers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics. In computer graphics, where they have been used to describe picture rotations and other transformations, matrices have vital applications as well.

Presently 3rd element in Row 3 is the pivot element,

For solving the matrix, we need to make 3rd element of fourth row as zero,

Hence, we do the operation Row4=Row4-4*Row3.

This will make the element zero.

The second step is we divide 8 by -2 to get 4th unknown as d=8/(-2)=-4.

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Answer: 0.02

Step-by-step explanation:

Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.

I prefer Wills method because it is easier and less complicated.

Wills method:

(5x + 6x) - (2x - 1)

Subtract both 2x and -1

5x + 6x - 2x - - 1

5x + 4x + 1

In conclusion, Wills method is preferred when both methods are compared.

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yeaaa free coins

I DONT CARE

Step-by-step explanation:

An expression for given sequence of operations is: j + 3^9

In this question, we need to write an expression for the sequence of operations described below.

raise 3 to the 9th power, then add the result to j

Consider the part of given statement,

raise 3 to the 9th power

We write this as: 3^9

then we add this result to j.

So, we get an expression: 3^9 + j

Therefore, an expression for given sequence of operations is: j + 3^9

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Answer:

The pencils at store A cost more.

Step-by-step explanation:

First find the price of one pencil at store A

y=0.55(1)=

y=0.55

One pencil at store A costs 0.55

Now find the price of one pencil at store B

3.06/6=

0.51

One pencil at store B costs 0.51

0.55>0.51 so The pencils at store A cost more.

Hope this helps!

Using a TI-83, TI-83 Plus, or TI-84 Population standard deviation is 56.4 and Population variance is 3178.5 .

To calculate the population standard deviation and variance using a TI-83, TI-83 Plus, or TI-84 calculator, we can use the following steps:

Enter the data into a list on the calculator. To do this, press the STAT key, then select Edit. Enter the data into L1.

Calculate the sample mean by pressing STAT, then CALC, then 1-Var Stats. Make sure L1 is selected as the list, then press ENTER.

Find the population variance by pressing STAT, then CALC, then 2-Var Stats. Make sure L1 is selected as the list, then press ENTER. The variance will be displayed as sX².

Take the square root of the population variance to find the population standard deviation. To do this, press the MATH key, then select PRB, then select 5:√(. Enter the population variance, then press ENTER.

Using this method, we find that the population standard deviation is approximately 56.4 and the population variance is approximately 3178.5.

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Complete question is:

A statistics professor gives a survey to each of the 10 students in an introductory statistics course. The survey asks the students how many text messages they think they sent yesterday. The data are included below. Use a TI-83, TI-83 Plus, or TI-84 to calculate the population standard deviation and the population variance. Round your answers to one decimal place .

Texts sent yesterday: 29 211 130 21 5 21 19 67 60 95

Answer:

0.25

Step-by-step explanation:

0.25*100=25

0.05*100=5.25

25 is greater than 5.25 so 0.25 is your answer

Hope this helps :) and pls give brainliest

Answer:

y=4x+11

Step-by-step explanation:

you find the function rule using the slope which is 4.

Answer:

1.25

Step-by-step explanation:

-3/4+2=1.25

Answer:

Step-by-step explanation:

Answer:

11ft

Step-by-step explanation:

The area of a square garden=121ft^2

Side ×side=11×11

SIDE=11ft

Answer:

66-26 = 40

Step-by-step explanation:

u = 40 degrees

Answer:

a) There is a 59.87% probability that none of the LED light bulbs are defective.

b) There is a 31.51% probability that exactly one of the light bulbs is defective.

c) There is a 98.84% probability that two or fewer of the LED light bulbs are defective.

d) There is a 100% probability that three or more of the LED light bulbs are not defective.Step-by-step

explanation:

For each light bulb, there are only two possible outcomes. Either it fails, or it does not. This means that we use the binomial probability distribution to solve this problem.

Answer:

40x4x<60

x<5

Step-by-step explanation:

40x4x<60

4x<60-40

4x<20

x<20÷4

x<5

Answer:

20 apples is 55.55% of 36 apples.

Step-by-step explanation:

Given that I had 36 apples, to determine what is the percentage of 20 of them, the following calculation must be performed:

36 = 100

20 = X

(20 x 100) / 36 = X

2000/36 = X

55.55 = X

Therefore, 20 apples is 55.55% of 36 apples.

Answer:

a

Step-by-step explanation:

Answer:

43°

Step-by-step explanation:

supplementary angles sum to 180° , then

second angle + 137° = 180° ( subtract 137° from both sides )

second angle = 43°

The angles complementary to the angle 57 are ∠1 and ∠3.

What are complementary angles?

Angles that have a total angle of less than 90 degrees are said to be complementary. To put it another way, if two angles combine to form a right angle, that combination is said to be complementary. In this instance, we say that the two angles complement one another well.

We are given a figure showing different angles.

It is given that ∠5 is 90°.

This means that 57° + ∠1 will be 90°.

So, ∠1 is complementary to angle 57.

We know that vertically opposite angles are equal.

So, ∠1 = ∠3.

Therefore, ∠3 is also complementary to the angle 57.

Hence, the angles complementary to the angle 57 are ∠1 and ∠3.

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Answer:

yes

Step-by-step explanation:

The actual consumer spending at a price of $27 per unit is $268.26.

Substitute the given price into the supply equation to get the corresponding quantity supplied:

p = q + 10

27 = q + 10

q = 17

Substitute q = 17 into the demand equation to get the corresponding price:

4q² + p² = 1405

4(17)² + p² = 1405

p² = 1405 - 1156

p² = 249

p = 15.78

The actual consumer spending can be calculated by multiplying the quantity demanded by the price:

Actual consumer spending = quantity demanded x price per unit

= 17 x 15.78

= $268.26

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The demand and supply equations for a certain product are given by space 4 q squared plus p squared equals 1405 and p equals q plus 10 where p is in dollars per unit and q is in units. For a price of $27 per unit, determine the actual consumer spending.

9514 1404 393

Answer:

  a = 14.9

  b = 11.1

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relevant relationships.

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

In this triangle, that means ...

  sin(48°) = b/a

  cos(48°) = 10/a

Using the cosine relation, we can find 'a':

  a = 10/cos(48°) ≈ 14.9

Then using the sine relation, we have ...

  b = a·sin(48°) ≈ 11.1

_____

Additional comment

When computing 'b', the full precision value of 'a' should be used.

In the graph B we can see that y intercept is 9 and zero is 3. So the graph b is the correct answer.

In the given question, linear function k has a zero at 3 and a y-intercept of 9.

We have to choose which graph best represents k.

As we know that;

A linear equation represent the relationship between the two unknown variable. The equation of linear equation is of one degree.

The simplest linear equation shows the correlation between (x,y), which may then be used to make a table or a graph on the coordinate plane or to assess at a specific x or y value.

We represent linear function in the form of y=mx+c.

where m is the slope of the line, c is the y intercept of the line, x is independent variable and y is the dependent variable.

As we see the y intercept in the graph crosses the y axis.

Here y intercept is 9.

The zeros of the linear function is that where y value is zero.

As in the graph B we can see that y intercept is 9 and zero is 3. So the graph b is the correct answer.

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