CAN SOMEONE HELP WITH THIS QUESTION?✨

Answer:

The first thing you want to d is find out how many centimeters are in 1 foot, because if a flat bar cost 2 pesos per centimeter, and they want 1 foot, then you will multiply how many centimeters in 1 foot, by how much each centimeter cost: 2 pesos:

There are exactly 30.48 centimeters in 1 foot, so you will multiply that by 2:

2 * 30.48 = 60.96

It will cost 60.96, or rounded up to 61 pesos for a 1 foot flat bar.

Step-by-step explanation:

Hope it helps! =D

Answer:

Step-by-step explanation:

We can start by simplifying the denominator, which is cot(a) + tan(a):

cot(a) + tan(a) = cos(a)/sin(a) + sin(a)/cos(a)

To combine these terms, we can find a common denominator of sin(a)cos(a):

cos^2(a)/(sin(a)cos(a)) + sin^2(a)/(sin(a)cos(a))

= (cos^2(a) + sin^2(a))/(sin(a)cos(a))

= 1/(sin(a)cos(a))

Now we can substitute this expression into the original equation:

sec(a)/(cot(a) + tan(a))

= sec(a) / (1/(sin(a)cos(a)))

= sec(a) * (sin(a)cos(a))

= (1/cos(a)) * (sin(a)/cos(a))

= sin(a)/cos^2(a)

= csc(a)sec(a)

Therefore, the simplified form of sec(a)/(cot(a) + tan(a)) is csc(a)sec(a).

Answer:

$29.34.

Step-by-step explanation:

To calculate the minimum payment, we need to find the current balance, which is the sum of the previous balance and the new charge for the Christmas presents:

Current balance = previous balance + new charge

Current balance = $319 + $170

Current balance = $489

The minimum payment is 6% of the current balance:

Minimum payment = 6% x current balance

Minimum payment = 6% x $489

Minimum payment = $29.34

Therefore, the minimum payment on the credit card would be $29.34.

Answer:

$29.34.

Step-by-step explanation:

To calculate the minimum payment, we need to find the current balance, which is the sum of the previous balance and the new charge for the Christmas presents:

Current balance = $319 + $170 = $489

Minimum payment = 6% x $489 = $29.34

The minimum payment on the credit card would be $29.34.

Hope this helped, have a GOOD DAY!!!!!

Applying the secant-tangent theorem, the value of x is calculated as: x = 5.

The secant-tangent theorem states that if there is a point outside of a circle and we draw a tangent line and a secant line from that point to the circle, then the length of the tangent line squared is equal to the length of the secant line multiplied by the length of the part of the secant line that is outside the circle.

Therefore, applying the secant-tangent theorem:

4 * (x + 4) = 6²

4x + 16 = 36

4x = 36 - 16

4x = 20

4x/4 = 20/4

x = 5

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Answer:

B 16

Step-by-step explanation:

It will take 8 days to eat one carton so 2 cartons will be 16 days.

Answer:

it will take approximately 15.42 years for an investment of $567 at 4.5% continuous compounding to double to $1134.

Step-by-step explanation:

The formula for continuously compounded interest is:

A = Pe^(rt)

where A is the final amount, P is the initial principal, r is the annual interest rate, t is the time in years, and e is the mathematical constant approximately equal to 2.71828.

We want to know how long it will take for an initial investment of $567 to double, so our final amount will be $1134. We know that the interest rate is 4.5% or 0.045 as a decimal. Substituting these values into the formula, we get:

1134 = 567e^(0.045t)

Dividing both sides by 567, we get:

2 = e^(0.045t)

Taking the natural logarithm of both sides, we get:

ln(2) = 0.045t

Solving for t, we get:

t = ln(2)/0.045

Using a calculator, we get:

t ≈ 15.42 years

Therefore, it will take approximately 15.42 years for an investment of $567 at 4.5% continuous compounding to double to $1134.

Answer:

it Will give it 15 years in as much as the previous comment is accurate to my answer

A function is defined as the relationship between input and output, where each input has exactly one output. The inputs are the elements in the domain and the outputs are elements in the co-domain.

Step-by-step explanation:

f(x)= x¹ - x² +9

g(x) = x³ + 3x² + 12

To find (f-g)(x):

The operations on functions are as easy as the operations on numbers or polynomials.

We have to subtract the functions to find the above mentioned operation.

(f-g) (x)= f(x)-g(x)

         = (x¹ - x² +9)-(x³ + 3x² + 12)

The minus will change the signs of function g.

The probability that the individual must stop at at least one light that is 0.45.

Probability is the mathematical tool or procedure of predicting how likely a given event is going to happen.

Given is that there are two traffic lights on the route used by a certain individual to go from home to work. Let {E} denote the event that the individual must stop at the first light, and define the event {F} in a similar manner for the second light. Suppose that -

We can write -

P{E ∪ F} = P{E} + P{F} - P{E ∩ F}

P{E ∪ F} = 0.4 + 0.2 - 0.15

P{E ∪ F} = 0.6 - 0.15

P{E ∪ F} = 0.45

Therefore, the probability that the individual must stop at at least one light that is 0.45.

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The distance across the lake VW is 185m.

Triangles that are similar but not necessarily the same size are called similar triangles. This indicates that their sides are proportional and that their angles are the same.

We can see there are two similar triangles with interior parallel line.

So, apply the Side Angle Side (SAS) rule for ΔUVW ≈ ΔUXY;

⇒   [tex]\frac{VW}{XY} = \frac{UV}{UX}[/tex]

⇒   [tex]\frac{VW}{120.25}=\frac{(130+70)}{130}[/tex]

Cross multiply both sides,

⇒   VW  =  [tex]\frac{200}{130}*120.25[/tex]

⇒    VW = 185 m

Therefore, the value of VW is 185m.

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The sinusoidal function is y = 2sin(2x) - 1

The general form of a sinusoidal function is given by:

y = A sin(Bx + C) + D

where:

We know that the period is π and the amplitude is 2.

So, we have

A = 2

B = (2π)/(π) = 2

So, we have

y = 2sin(2x + C) + D

The point (-11π/4, 1) implies that, the function is shifted down by 1 unit

So, we have

y = 2sin(2x) - 1

Hence, the function is y = 2sin(2x) - 1

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Answer:

x ∈ R or (-∞,∞)

Step-by-step explanation:

The equation |x - 5| > -2 results in true for all x-values. No matter which x-values you substitute in the absolute value; positive, negative real numbers or zero, you'll always end up with the positive value which is greater than negative

Therefore, |x - 5| > -2 is true for all real x-values.

Hiya,

We literally just learnt about congruent shapes before the holidays.

I think it's like this-

If the shape is an SSS (Side, Side, Side) congruent or SAS (Side, Angle, Side), then you do the following:

a) Write the congruent statement... I'm not sure what the congruent statement is but it may be something you have learnt to do previously like an expression on revealing how to find the congruent shape and what type it is.

b) Sorry I'm not sure what a postulate is you may need to look back at your notes or research it.

I have attached images of the worksheet we were given in class which may or may not help!

Answer:

6. ΔANG ≅ ΔRWT by SAS Postulate.

7. The two triangles are congruent by SAS Postulate.

Step-by-step explanation:

If two sides and the included angle in one triangle are congruent to two sides and the included angle in another triangle, the triangles are congruent.  

The included angle is the angle between two sides of a triangle.

Therefore:

We are told that AN ≅ RW, GN ≅ TW, and ∠N ≅ ∠W.

Therefore, as two sides and the included angle in triangle ANG is congruent to the two sides and the included angle in triangle RWT, the SAS Postulate can be used to prove that the triangles are congruent.

The two given triangles have two sides of equal length, denoted by the same number of tick marks on each congruent line segment.  The included angles are also congruent (both are 90°).  Therefore, the SAS Postulate can be used to prove that the triangles are congruent.

Answer:

25

Step-by-step explanation:

Let's assume the number of boys in the class is "x". Then, according to the problem, the number of girls in the class is 2.5 times the number of boys, which can be expressed as:

number of girls = 2.5 * number of boys

We also know that the total number of students in the class is 35. Therefore, we can write an equation in terms of "x" as follows:

x + 2.5x = 35

Simplifying the above equation, we get:

3.5x = 35

Dividing both sides by 3.5, we get:

x = 10

This means that there are 10 boys in the class. To find the number of girls, we can use the equation we derived earlier:

number of girls = 2.5 * number of boys

number of girls = 2.5 * 10 = 25

Therefore, there are 25 girls in the class.

Answer:

Step-by-step explanation:

a. The average rate of change in DVD sales during this period can be calculated as:

average rate of change = (change in DVDs sold) / (change in years)

We are given that in 2011, 6.1 billion DVDs were sold, and in 2021, 1.2 billion DVDs were sold. The change in DVDs sold is:

change in DVDs sold = 1.2 billion - 6.1 billion = -4.9 billion

The change in years is:

change in years = 2021 - 2011 = 10

So the average rate of change in DVD sales during this period is:

average rate of change = (-4.9 billion) / 10 = -0.49 billion DVDs per year

Therefore, DVD sales declined by an average of 0.49 billion per year during this period.

b. Using the numbers in 2011 as an initial value, we can write a linear model that models the number of DVD sales worldwide as:

DVD sales = -0.49(t - 2011) + 6.1

where t is the year and DVD sales are measured in billions.

c. If the rate stays the same, we can predict the number of DVD sales in the year 2023 by substituting t = 2023 into the linear model and solving for DVD sales:

DVD sales = -0.49(2023 - 2011) + 6.1 ≈ 0.5 billion DVDs

Therefore, if the rate of decline in DVD sales stays the same, we can predict that there will be about 0.5 billion DVDs sold worldwide in 2023.

The company had 32,500 employees a year ago.

Let x be the number of employees the company had a year ago.

According to the problem, the company now has 36% more employees than it did a year ago. This can be expressed mathematically as:

x + 0.36x = 44200

Simplifying the left-hand side of the equation:

1.36x = 44200

Dividing both sides by 1.36:

x = 32500

Therefore, the company had 32,500 employees a year ago.

Percentage is a way of expressing a portion or part of a whole as a fraction of 100. It is often represented by the symbol "%".

For example, if 20 out of 100 students in a class are absent, we can say that the percentage of absent students is 20%. This means that 20 out of every 100 students in the class are absent.

To calculate a percentage, you divide the part by the whole and multiply by 100. For example, if 30 out of 50 students passed a test, the percentage of students who passed the test is:

(30 ÷ 50) × 100 = 60%

This means that 60 out of every 100 students in the class passed the test.

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By making and solving the equations we know that the number of children and adults that swam at the pool is 350 and 335 respectively.

An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.

As in 3x + 5 = 15, for example.

There are many different types of equations, including linear, quadratic, cubic, and others. Let's learn more about math equations in this tutorial.

For instance, a formula might be 3x - 5 = 16.

After solving this equation, we learn that the value of the variable x is 7.

So, make equations as follows:

c + a = 685 (1)

c = 685 - a

Now, substitute c = 685 - a in the 2nd equation as follows:

1.75c + 2a = 1.282.50 (2)

1.75(685 - a) + 2a = 1,282.50

1,198.75 - 1.75a + 2a = 1,282.50

0.25a = 83.75

a = 83.75/0.25

a = 335

Then, the children:

c = 685 - a

c = 685 - 335

c = 350

Therefore, by making and solving the equations we know that the number of children and adults that swam at the pool is 350 and 335 respectively.

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The solutions of the system of inequalities are:

(0, 3)

(6, 2)

Here we have the graph of a system of inequalities, the solutions are all the points on the area where the two shaded regions intercept (it would be on the purple area).

And we can see that one line is solid, the points on that line are solutions, the other line is dashed, the points on that line are not solutions.

Then the points that are solutions are:

(0, 3)

(6, 2)

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Answer:

Step-by-step explanation:

n+7=8

n=1

Answer:

14

Step-by-step explanation:

So, 49 divided by 7 is 7 so there are 7 groups of 7 strawberries. With each of those 7 groups there are 2 blueberries. So, you are then going to multiply 7 by 2 and that gives you 14 blueberries.

Finally, we can use the earlier equations to find the number of bass and bluegills in pond B:

2x + 6y = 300

2(15) + 6(45) = 300

30 + 270 = 300

Therefore, pond B has 30 bass and 270 bluegills.

In algebra, a statement of mathematics that proves the equality of two mathematical expressions is known as an equation. Consider the equation 3x + 5 = 14, where the word "equal" is used to denote the relationship between the terms 3x + 5 and 14.

Let's denote the number of bass in pond A as "x" and the number of bluegills in pond A as "y".

According to the problem, Gage stocks pond B with twice the amount of bass as pond A, so the number of bass in pond B is 2x. He also stocks pond B with six times the amount of bluegills as pond A, so the number of bluegills in pond B is 6y.

We know that Gage stocks pond A with a total of 60 fish, so:

x + y = 60

We also know that Gage stocks pond B with a total of 300 fish, so:

2x + 6y = 300

x + 3y = 150

Now we have two equations:

x + y = 60

x + 3y = 150

We can solve for x in the first equation:

x = 60 - y

Substitute this expression for x into the second equation:

(60 - y) + 3y = 150

2y = 90

y = 45

Now that we know that pond A has 45 bluegills, we can use the equation x + y = 60 to find that pond A has 15 bass (since 45 + 15 = 60).

2x + 6y = 300

2(15) + 6(45) = 300

30 + 270 = 300

Therefore, pond B has 30 bass and 270 bluegills.

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Answer:

30 cm²

Step-by-step explanation:

The formula to find the area of a parallelogram.

Area = Base × Height

Accordingly, let us find the area.

Area = Base × Height

Area = 10 cm × 3 cm

Area = 30 cm²

The value of standard matrix of T is,

⇒ [tex]\left[\begin{array}{ccc}1&-2&3\\- 4&9&- 8\\\end{array}\right][/tex]

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Define T : R³ to R² as;

⇒ T(e₁) = (1, 4), T(e₂) = (-2,9), T(e₃) = (3,-8),

where e₁, e₂, and e₃ are the columns of the 3x3 identity matrix.

Now, The value of the standard matrix of T is,

T = [ T(e₁)   T(e₂)   T(e₃)]

  =  [tex]\left[\begin{array}{ccc}1&-2&3\\- 4&9&- 8\\\end{array}\right][/tex]

Therefore, The value of standard matrix of T is,

⇒ [tex]\left[\begin{array}{ccc}1&-2&3\\- 4&9&- 8\\\end{array}\right][/tex]

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By proportion formula and Pythagorean theorem, the length of line segment AB is equal to 8 units.

Herein we find a geometric system formed by two similar right triangles, then we can determine the length of side BD by following proportion formula:

BD / AD = CD / BD

BD² = AD · CD

BD = √(AD · CD)

And the length of the line segment AB can be determined by Pythagorean theorem:

AB = √(BD² + AD²)

If we know that AD = 4 and CD = 12, then the length of the line segment AB is:

BD = √(4 · 12)

BD = √48

BD = 4√3

AB = √[(4√3)² + 4²]

AB = 8

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After doing some thinking, I believe it's 6 m.

Answer:

1.15%

Step-by-step explanation:

The original number that satisfies the condition the square of a non-zero number is equal to 68% of the original number is 1.68.

Variables and constants are used to create algebraic expressions using a variety of techniques.

It is a mathematical expression made up of terms and includes variables, constants, and algebraic operations like addition, subtraction, etc. When operations like addition, subtraction, multiplication, division, etc. are performed on any variable, the resulting equations are called algebraic expressions.

An algebraic expression (or variable expression) is the name given to a grouping of terms that have undergone operations including addition, subtraction, multiplication, and division.

Let us suppose a non zero number = x.

Given that, the square of a non-zero number is equal to 68% of the original number.

This can be represented algebraically as follows:

x² = x(1 + 68/100)

x² = x(1 + 0.68)

x² = x(1.68)

x = 1.68

Hence, the original number that satisfies the condition the square of a non-zero number is equal to 68% of the original number is 1.68.

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The correct symbol for the given equation in the blank is the sign of non-equal to that ≠.

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

here, we have,

Let's solve the given equation,

3 (3+4) = 3³

3 (7) = 27

21 ≠ 27.

Therefore, it shows that LHS ≠ RHS.

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As wetlands make up about 31% of the area of Florida, the expressions that represent this fraction is:

Florida wetlands generally include swamps, marshes, bayheads, bogs, cypress domes and strands, sloughs, wet prairies, riverine swamps and marshes, hydric seepage slopes, tidal marshes etc. According to the United States Environmental Protection Agency (EPA), wetlands cover approximately 31% of the total land area of the state of Florida.

Total land mass of Florida is: 170,312 Km². The landmass of Wetland areas is: 31% *  170,312 Km² = 52796.72Km²

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