Please Show your work

Two consecutive angles in a parallelogram have measures (2a+33) and (5a+14) find the measure of the smaller angle

[tex]$P(t)=\frac{19.71}{1+61.22 e^{-0.03513 t}}$[/tex]  can be used to simulate the population of New York state. where t is the number of years since 1800 and P is the population in millions.

A population is a distinct group of individuals that can be distinguished for the purposes of data collection and analysis by at least one feature. Populations are used in statistics and other branches of mathematics. Between sample size and population, the population will always be larger in number. The entire group of individuals under study is referred to as the population.

250 persons, the size of the high school under study, make up the population in the case. The population mean can be computed by dividing the sum of all values in the given data/population by the total number of values in the given data/population. We can refer to the total of a set of numbers as a sum. A symbol that represents the population mean is  μ.

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1377952.7559 feet as we multiply the value in kilometers by the conversion factor so 420 kilometers .

A nanometer, sometimes known as a nanometer, is a unit of measurement that, according to the International System of Units, is one billionth of a metre and one thousandth of a picometre. A nanometer is denoted in scientific notation by the figures 1 109 m and 1/1000000000 meters. The International System of Units (SI) defines the prefix "nano" as one billionth, or 10-9. Therefore, one billionth of a meter is equal to one nanometer. One billionth of a meter is the nanometer, a unit of length in the metric system (0.000000001 m). The shorthand for it is nm, which stands for nanometer. The nanometer (nm), or billionth of a meter, is 109 meters, or one billionth of a micrometer.

given

multiply the value in kilometers by the conversion factor '3280.839895'.

So, 420 kilometers = 420 × 3280.839895 = 1377952.7559 feet.

1377952.7559 feet as we multiply the value in kilometers by the conversion factor so 420 kilometers .

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The required midpoint of the given coordinates (-6,-6) and (4,-2) is ( -1, -4)

A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.

Let two points A (x₁, y₁) and B (x₂, y₂), the midpoint between A and B is given by,

M(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2

Given (-6,-6) and (4,-2)

So for the line segment with endpoints (-6,-6) and (4,-2), the midpoint is:

= [(-6 + 4)/2, (-6 +( -2))/2]

=  [(-2)/2, (-8)/2]

= ( -1, -4)

Hence, the midpoint of(-6,-6) and (4,-2) is ( -1, -4).

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The domain of the log function will match the range of the exponential function since g(x) = logb(x) is the inverse function of f(x), and vice versa. The range of g(x) = logb(x) is therefore (∞, ∞), while the domain is (0, ∞).

A logarithm is a measurement of the amount that a fixed number (the base) must be increased in order to create a particular number.

Basically,

if y=ax

So, logₐ(y) = x

The base of the logarithm in this instance is a. The following two bases are frequently employed: base-10 and Base-e

'e' is a mathematical constant having a value of around 2.718.

If the base is "e," we use a specific expression: ln(x)

Fundamentally,

ln(x)=loge(x)  

Here, e is the base.

Base-10 will be used if no base is provided, as in the formula

log(x)=log10(x)

Here 10 is the base

The domain of a function is the set of all input values (sometimes referred to as independent variables) for which the function is defined and produces an acceptable result (also called dependent variable). Most often, the domain is represented by a collection of numbers or a range of numbers.

The term "range" refers to the entire set of potential output values (dependent variable) that a function can produce for any set of valid input values inside its domain. Usually, a group of numbers or a range of numbers is used to represent the range.

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12x + 3y = 24. Finally y= 4x-8, b=-8which shows us that the rise is 4 and the run is 1. This means that to go from point to point, we can go up 4 and over 1

Take a look at the straight line equation Ax + By = C. Alternatively, Substitute y = 0 and solve for x to obtain the x-intercept. To determine the y-intercept, replace x with 0 and solve for y. 1) Write the equation in the form y = mx + b to determine the slope m and y-intercept (0, b). 2) Next, determine the y-intercept. 3) Depending on whether the slope is positive or negative, go up or down and left or right from the y-intercept.

The slope intercept form is y=mx+b, where m represents the slope and b represents the y-intercept. We may draw the graph of a linear equation using this form of the equation.

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The highest common factor of 12, 18 and 24 is 6. This is because all three numbers can be divided by 6 without any remainder. Therefore, 6 is the greatest number that can divide all three numbers evenly.

The highest common factor (HCF) of 12, 18 and 24 is 6. This means that 6 is the largest number that can divide each of these numbers evenly without any remainder.

To find the highest common factor of any set of numbers, it is helpful to start by expressing each number as the product of its prime factors. For example, 12 can be expressed as 2 × 2 × 3, 18 can be expressed as 2 × 3 × 3, and 24 can be expressed as 2 × 2 × 2 × 3.

The HCF is the product of all prime factors shared by all of the given numbers. In this case, the common prime factors are 2 and 3, so the HCF is 2 × 3, or 6. This means that 6 is the greatest number that can divide all three numbers evenly.

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The ratio of likely outcomes to all other possible outcomes of an event is known as probability. The likelihood of getting a perfect roll of a four is 1.65*10. (-8)

The simple definition of probability is the likelihood that something will occur.We can discuss the probabilities of different outcomes, or how likely they are, whenever we are unsure of how an event will turn out.

Statistics refers to the study of events subject to probability.The ratio of likely outcomes to all other possible outcomes of an event is known as probability. We are aware that an event's probability is equal to the sum of its favorable outcomes.Once we throw the die, we obtain

The likelihood of receiving 4 is 1/6.

Currently, a dice is spun ten times.

=(1/6) 10

= 1/60466176

= 1.65 * (10) (10)

The probability of rolling exactly 1 four is  1.65* 10(-8)

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a2 + b2 = c2. Sines: sin A = a/c, sin B = b/c. Cosines: cos A = b/c, cos B = a/c. Tangents: tan A = a/b, tan B = b/a.

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The required net total of purchase with sale tax of 7% is $98.92.

A sales tax is a consumption tax that local or state governments apply on the purchase price of products or services from consumers. When a company has some sort of link to the jurisdiction, it is their job to collect sales tax and send payments to the government.

We have,

Price of two notebooks = 2($8. 75) = $17.5

Price of one textbook = $74. 95

Then,

Total price = $17.5 + $74. 95

= $92.45

If the sales tax for 7% the total of Allen’s purchase

7% of $92.45

=  $6.47

Now,Net total of purchase is

= $92.45 + $6.47

= $98.92

Thus,required Net total of purchase is $98.92.

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On solving the provided question, we can say that by unitary method for next 6 miles will charge  = 3*6 + 2*3 = $22

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

A delivery truck driver charges a fixed base price of = $6 for 2 miles

He charges an additional = $2 for every mile

so, for next 6 miles will charge  = 3*6 + 2*3 = $22

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It's worth noting that some of these fractions can be simplified further by dividing both the numerator and denominator by a common factor. For example, the fraction 18/50 can be simplified to 9/25. Additionally, some decimal numbers may not have exact fraction forms, these values can be approximated by fractions with a large denominator, this means that the numbers will not be exact representation of the decimal but it's close enough.

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Complete question:

Fraction form.

Learning Task 4: Convert the following decimal form into fraction

1) 0. 75  

2) 0. 35

3) 0. 90

4) 0. 80

5) 0. 9

6) 0. 60

7) 0. 15

8) 0. 95

9) 0. 36

10) 0. 16

11) 0. 50

12) 0. 49

The bankers have made $3,125 by investing the same amount of money

at the 2014 interest rate.

In year 2013,

250000 x 4.25/100 = $10625

In year 2014 with 5.5%,

250000 x 5.5/100 = $13750

So, 13750 - 10625 = $3125 more money were made comparing to that in 2013.

Investments are financial commitments made to acquire assets in the hopes that their value would rise over time. Investment necessitates the loss of a current resource, such as time, money, or effort.

In the world of finance, investing is done in order to profit from the asset being put to use. A gain (profit) or loss realized through the sale of a home or investment, unrealized capital gain (or loss), investment income like dividends, interest, or rental income, or a mix of capital gain and income may all be included in the return. The return may also include foreign exchange profits or losses as a result of shifting exchange rates.

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The total number of soda cans on Carrie’s head are 4.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Carrie’s head is full of curlers. There are 16 in all. One-fourth of the curlers are pink. There are twice as many green curlers as pink ones. The rest are soda cans.

Assume the number of pink curlers be {x}. So, we can write -

x = (1/4) x 16 = 4

x = 4                          .... (1)

The number of green curlers {y}, will be -

y = 2x = 2 x 4 = 8

y = 8                           ..... (2)

The number of soda cans {s} remaining -

16 - ({x} + {y}) = 16 - 12 = 4

{s} = 4                                 ...... (3)

Therefore, the total number of soda cans on Carrie’s head are 4.

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Using more than 30% amount of your available credit limit can have a negative impact on your credit score, so if you have a credit limit of $5,000 and only $100 left, you should be careful with your spending.

1. Determine total credit limit: $5,000

2. Determine remaining credit before limit is reached: $100

3. Calculate the percentage of the credit limit that has been used: $100/$5,000 = 0.02 = 2%

4. Determine if the percentage of credit limit used is more than 30%: 2% < 30%

5. Conclusion: Your credit score will be affected if you max out your credit limit.

Your credit score will be affected if you max out your credit limit, meaning if you reach or exceed your credit limit. To calculate this, you will need to determine the total credit limit, the remaining credit before the limit is reached, and then calculate the percentage of the credit limit that has been used. If the percentage of credit limit used is more than 30%, then your credit score will be negatively impacted.

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In the number line described, the relationship between the points is

B. The values are opposites of each other, and their distance to zero is three halves units.

A number line is a horizontal representation of number parts with equal intervals

The numbers in a number line is arranged to be increasing from left to right , hence drawing a number line will have the smaller values to the left of the bigger values

A negative value is located at the left of zero while a positive value is located to the right of zero, the distance from the number to zero is the absolute value

For the problem, the negative of a number is the additive inverse of the problem which is also the opposite of the positive number. The two numbers have same distance from zero which is equal to three halves units.

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Answer: you could make 16 dozen cookies

The measure of side EF is 15.

The polygon that has three sides and three vertices is called a triangle.

When it comes to Euclidean geometry, two triangles are said to be comparable if they have the same shape or the same shape as each other's mirror image. One can be produced from the other more precisely by evenly scaling it, perhaps with the addition of further translation, rotation, and reflection.

Since the two triangles are equivalent, their corresponding sides are proportional. So we can write,

BC/EF = CD/FG

Given that, DC =8, BC=5, and FG =24. By substituting these values, we get

5/EF = 8/24

EF = (5*24)/8 = 15

Hence, the value of side EF is 15.

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The needed inequality is (6 X)   > (12 Y) .6 hens x 200 eggs per year = 1,200 eggs per year, or 23+ eggs per week.

According to the given data:

The number of eggs laid by first hen per week = 6 eggs

So, the number of eggs laid by first hen in X weeks

= (Eggs Laid per week) x  (X)   = 6 X

So, the first hen lays a total of (6 X) eggs in X weeks.

Similarly,

The number of eggs laid by second hen per week =  9 eggs

So, the number of eggs laid by second hen in Y weeks

= (Eggs Laid per week) x  (Y)   = 9 Y

So, the second hen lays a total of (9 Y) eggs in Y weeks.

As given:

The total number of eggs laid by the first hen >  The total number of eggs laid by the second hen.

⇒ (6 X)   > (9 Y)  

Hence, the needed inequality is (6 X)   > (9 Y) .

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System A can be transformed into system B by the transformation -2 × Equation [A₁] + Equation [A₂] → Equation [B₂].

System B can be transformed into system C by the transformation -2 × Equation [B₂] + Equation [B₁] → Equation [C₁].

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Given are three system of linear equations.

System A :

-7x + 2y = 13 [A₁]

-8x + 5y = 4 [A₂]

System B :

-7x + 2y = 13 [B₁]

6x + y = -22 [B₂]

System C :

-19x = 57 [C₁]

6x + y = -22 [C₂]

Transformation from A to B :

Equation A₁ = Equation B₁

We have to transform only the equation A₂ to B₂.

-2 (Equation A₁) + (Equation A₂) is

14x - 4y - 8x + 5y = -26 + 4

6x + y = -22, which is B₂

So the transformation is  -2 × Equation [A₁] + Equation [A₂] → Equation [B₂].

Transformation from B to C :

Equation B₂ = Equation C₂

We have to transform B₁ to C₁.

-2 (Equation B₂) + (Equation B₁)  is,

-12x - 2y - 7x + 2y = 44 + 13

-19x = 57, which is C₁

So the transformation is -2 × Equation [B₂] + Equation [B₁] → Equation [C₁].

Hence both the transformations are found as above.

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To create function h, function f was translated 2 units to the Left, translated 4 units down, and reflected at x = -2.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Given, The function fx= x³ has been transformed, resulting in function h.

h(x)=-(x+2)³-4

Since f(x) = x^3 is transformed to h(x) = -(x+2)³ -4, by

1. Adding 2 to x in x³ to give f'(x) = f(x + 2) = (x + 2)³.

2. We now translate f(x + 2) down by subtracting 4 from f(x + 2) to give

f''(x) = f'(x) - 4 = f(x +2) - 4 = (x + 2)³ - 4.

3. We now reflect f'(x) at x = -2 by multiplying (x + 2)³ by -1 to get

h(x) = -(x + 2)³ - 4.

Therefore, Function f was translated 2 units to the left, 4 units down, then reflected at x = -2 to generate function h.

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The figure for better understanding the situation Blue one is h and the red one is f:

Answer:

Long division is a method of solving division problems by breaking them down into smaller steps. Here's how you can use long division to solve 110.5 / 13:

Write the problem as shown:

110.5 | 13

Divide the first digit of the dividend (110) by the divisor (13). This gives 8 with a remainder of 6. Write 8 above the dividend and the remainder (6) next to the dividend.

110.5 | 13

|- 8) 110

6

Bring down the next digit of the dividend (the digit after the decimal point) to get the new dividend. In this case, the new dividend is 0.5.

110.5 | 13

|- 8) 110

6.5

Divide the new dividend (6.5) by the divisor (13). This gives 0 with a remainder of 6.5

110.5 | 13

|- 8) 110

6.5

|- 0

6.5

You can see that 110.5 divided by 13 is 8 with a remainder of 6.5, so the quotient is 8 and the remainder is 6.5 .

110.5 / 13 = 8 remainder 6.5

Alternatively, you can express the remainder as a fraction, 110.5 / 13 = 8 + 6.5 / 13 = 8 + 0.5 = 8.5

Answer:

For number 2 you need to multiply 3 and 4, dont add

remember when you multiply you add exponents

so your answer would be 12a^7

Step-by-step explanation:

Answer:

  ? = 50°

Step-by-step explanation:

You want the measure of the angle between tangents, when the major arc they intercept is 230°.

The exterior angle (?) is half the difference of the two arcs it intercepts. Here, the two arcs form a circle, so we have ...

  ? = 1/2(230° -(360° -230°)) = 1/2(2·230° -360°)

  ? = 230° -180° = 50°

The angle at C is 50°.

__

Additional comment

The external angle between tangents at C can also be found as the supplement of the central angle BOD if the center of the circle is point O.

The above relation (half the difference of intercepted arcs) is true for secants as well as tangents.

The table represents a direct proportion between the number of tickets sold and the total cost is

Tickets         1    2     3       4

Total Cost   9   18   27    36

Here we have to know what is meant direct proportion is written as the relation between two quantities where the ratio of the two is equal to a constant value.

And it is represented by the proportional symbol, ∝.

Here we know that the same symbol is used to represent inversely proportional, the matter of the fact that the other quantity is inverted here.

According to the given table the option (d) is correct one because in this one, while the value of the tickets is increases then the value of the total cost is also increased in the same manner.

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For the roots of the polynomial to be real and equal the values of K are 0 and 4.

Given: - The roots of the polynomial equation [tex]x^{2}+Kx+k=0[/tex] are real and equal.

To find: - The values of K to satisfy the given condition of roots of the equation.

Solution: -

∵ Since the given equation is a quadratic equation.

∴ For the roots of the equation to be real and equal, the discriminant must be equal to zero, i.e., D = 0.

Now,

∵ D = b² - 4ac

∴ b² - 4ac = 0        ......(1)

We have,

a = 1, b = K and c = K

putting these values in equation (1) we get,

(K)² - 4*(1)*(K) = 0

⇒ (K)² - 4K = 0

⇒ K (K - 4) = 0

⇒ K = 0 or 4

∴ The values we got for K are 0 and 4.

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