please help! Ill give the brainlist thing :)

Answer:

A

Step-by-step explanation:

Arrange the 4 set of numbers above each other and add the corresponding numbers.

9 and 5, 16 and 16, 9 and 5, 16 and 16

Answer:

the sum of 9 16 9 15 and 5 16 5 16 is 14 32 14 32 which is (A)

Step-by-step explanation:

9 16 9 16+

5 16 5 16

14 32 14 32

Hence, the values of cοsine and cotangent functions for angle theta are -√(2)/2 and -1, respectively.

Angles between 0 and 90 degrees are cοnsidered acute. Obtuse angles fall within this range and vary frοm 90° to 180°.  A right angle is knοwn as an angle with a 90-degree angle (= 90°).

The pοint (-√(2)/2, √(2)/2) lies on the unit circle in the second quadrant, which means that the cοrresponding angle theta has a reference angle of pi/4.

The cοsine of theta is the x-coordinate of the point on the unit circle corresponding to theta. Since the x-coοrdinate of the given point is -√(2)/2, we have:

cοs(θ) = -√(2)/2

The cοtangent of theta is the ratio of the cosine of theta to the sine of theta. We can find the sine of theta by using the Pythagοrean theorem, since the pοint (-√(2)/2, √(2)/2) lies on the unit circle:

sin(θ) = √(1 - cos²(θ)) = √(1 - (-√(2)/2)²) = √(2)/2

Therefοre, we have:

cot(θ) = cos(θ) / sin(θ) = (-√(2)/2) / (√(2)/2) = -1

Hence, the values of cοsine and cotangent functions for angle theta are -√(2)/2 and -1, respectively.

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The sectors of the circle graph is solved and the field trip with the measure of section is

Aquarium = 90°

Science Museum = 144°

Botanical Gardens = 54°

Planetarium = 72°

In circles, a sector is said to be a part of a circle made of the arc of the circle together with its two radii. This means that it is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.

The formula for Area of a sector is given as;

θ/360 * πr²

where;

θ is the central angle of the sector

r is radius

Now, looking at the given options we can say that the only one that represents the area of the sector is;

A = n/360 * πr²

where n is the central angle of the sector

Given data ,

Let the area occupied by the circle be represented as A

Now , the values of A are

Let the field trip be represented as y

Let the number of votes be represented as x

y = { Aquarium , Science Museum , Botanical Gardens , Planetarium }

x = { 30 , 48 , 18 , 24 }

Now , the total sector angle occupied by field trip is T = 120°

x₁ = ( 30/120 ) x 360

x₁ = ( 1/4 ) x 360

x₁ = 90°

when x₂ = 48

x₂ = ( 48/120 ) x 360

x₂ = ( 0.4 ) x 360

x₂ = 144°

when x₃ = 18

x₃ = ( 18/120 ) x 360

x₃ = ( 0.15 ) x 360

x₃ = 54°

when x₄ = 18

x₄ = ( 24/120 ) x 360

x₄ = ( 0.2 ) x 360

x₄ = 72°

Hence , the measures of the section of circle is solved

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In response to the query, we can state that r: the annual rate of increase equation (6% in this case)

In a math equation, two assertions are connected by the equals sign (=), which denotes equivalence. A mathematical assertion used in algebraic equations establishes the equivalence of two mathematical statements. For instance, in the equation 3x + 5 = 14, the equal sign creates a space between the values 3x + 5 and 14. To comprehend the relationship between the two sentences written on opposing sides of a letter, utilise a mathematical formula. The logo and the specific programme typically correspond. An illustration would be 2x - 4 = 2.  

Explicit Formula:

[tex]a_n = a_0 \times (1 + r)^n[/tex]

Recursive Formula:

[tex]a_n = a_{n-1} \times (1 + r)[/tex]

where:

[tex]a_n[/tex]: the value of the action figure after n years

[tex]a_0[/tex]: the initial value of the action figure ($1100 in this case)

r: the annual rate of increase (6% in this case)

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V(0) is the initial value of the action figure, and the recursive formula calculates the value of the action figure after n years by adding 6% of the previous year's value to the previous year's value.

What is equation?

In a math equation, two assertions are connected by the equals sign (=), which denotes equivalence. A mathematical assertion used in algebraic equations establishes the equivalence of two mathematical statements.

Let V(n) be the value of the action figure after n years.

Explicit formula:

V(n) = 1100(1 + 0.06)^n

Recursive formula:

V(0) = 1100

V(n) = V(n-1) + 0.06V(n-1)

Therefore, V(0) is the initial value of the action figure, and the recursive formula calculates the value of the action figure after n years by adding 6% of the previous year's value to the previous year's value.

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Therefore, the probability that X is between 5.5 and 7.5 is approximately 0.0808.

If a company creates apparel and sells it to people directly through an online site, it may be using direct distribution.

To solve this problem, we need to standardize the distribution of X to a standard normal distribution. This is done using the following formula:

Z = (X - μ) / σ

where Z is the standard normal variable, X is the normally distributed variable, μ is the mean of X, and σ is the standard deviation of X.

Using the given values, we have:

Z1 = (5.5 - 2.6) / 2.2 = 1.318

Z2 = (7.5 - 2.6) / 2.2 = 2.682

We can then find the probability using the standard normal distribution table or a calculator with a built-in normal distribution function.

Using the table or calculator, the probability is:

P(5.5 ≤ X ≤ 7.5) = P(1.318 ≤ Z ≤ 2.682) = 0.0808 (rounded to four decimal places)

Therefore, the probability that X is between 5.5 and 7.5 is approximately 0.0808.

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The value of the x-coordinate of point A is  -0.342

If we measure the angle from the x-axis, we will get:

angle = 90° + 20° = 110°

Now remember that the rectangular coordinates are for a point with radius R and defined by an angle a are given by the expressions below:

x = R*cos(a)

y =R*sin(a)

Where in this case we can see that we have an unit circel, thus, R = 1, and a is the angle, in this case 110° as we saw above.

Then the x-coordinate of point A is:

x = 1*cos(110°) = -0.342

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As a result, the price of the ribbons is proportional to the number of party favours, with each Favour costing (3/4) dollars.

A measurable quality such as weight, length, time, volume, or pressure is referred to as quantity. A unit is a unit of measurement that is used to measure other quantities (for example, a gramme, a second, a liter, or a pascal are unit of the above quantities). Chemists employ a wide range of measurements.

The amount of ribbon required for n party favours is calculated as follows:

19n inches (since each party Favour requires 9 inches of ribbon)

As the price is stated in dollars per yard, we must first convert the amount of inches to yards before we can determine the ribbon's total cost. Since there are 36 inches in every yard, we can calculate the number of yards by dividing the total amount of inches by 36:

Total yards of ribbon = (9n) / 36 = (n) / 4

Thus, the following phrase represents the ribbon's overall cost:

3 × (n/4) = (3n) / 4 dollars

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Answer: 9x

Step-by-step explanation:

You combine like terms.

The correct inequality that represents how many video games he could buy is C. 15.99x + 9.99 ≤ 100.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Let x be the number of video games Manny wants to buy.

The total cost will be the sum of the cost of the video games and the shipping charges:

Total cost = (number of video games) × (cost per game) + (shipping charges)

Total cost = 15.99x + 9.99

Since Manny can spend at most $100, we can write the inequality:

Total cost ≤ 100

15.99x + 9.99 ≤ 100

Therefore, the correct inequality that represents how many video games he could buy is C. 15.99x + 9.99 ≤ 100.

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Answer:[tex]m[/tex] = [tex]d[/tex]/[tex]25[/tex]

Step-by-step explanation:I don't know if this is correct but i think it is:

Solve D=25m

Evaluate powers D = 25m

Subtract D from both sides D= 25m[tex]1[/tex] - D

Add D to both sides D=25m1

Evaluate powers D=25m

Divide both sides by 25 D/25 =m

Solution m = D/25

The quadrilateral is most specifically a D. square, because C. all sides are congruent.

What is a square?

A quadrilateral with four equal edges is called a square. There are numerous items in our environment that have a square form. Equal sides and interior angles that are both 90 degrees distinguish each square form.

A square is a quadrilateral where all sides are congruent and all angles are right angles.

This matches the given description of the figure with 4 vertices, where the diagonal angles are same and all the sides are equal.

Therefore, the correct option for the first blank is D, and the correct options for the second blank is C.

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Answer:

The quadrilateral is most specifically a rhombus because all sides are congruent.

Step-by-step explanation:

From inspection of the given quadrilateral, we can see that:

(This is denoted by the same number of tick marks on each congruent line segment and each congruent angle).

All sides of a square and a rectangle meet at right angles, i.e. their interior angles are congruent. Since the interior angles of the given quadrilateral are not all equal, the figure cannot be a square or a rectangle.

All sides of a rhombus are equal in length, and its opposite angles are congruent. This description matches the given shape. Therefore, the quadrilateral is a rhombus.

Answer:

A reciprocal function can be written in the form of f(x) = a / (x-h) + k, where a is a constant, h is the x-value of the vertical asymptote, and k is the y-value of the horizontal asymptote.

Given that the vertical asymptote is located at x = -2 and the horizontal asymptote is located at y = 5, we can write:

f(x) = a / (x - (-2)) + 5

Simplifying this expression, we get:

f(x) = a / (x + 2) + 5

Therefore, an equation that could represent this reciprocal function is:

f(x) = a / (x + 2) + 5

Step-by-step explanation:

Answer:

In business and economics, cost, revenue, and profit are key concepts that relate to the financial aspects of a business.

Cost refers to the expenses incurred by a business in order to produce, sell or distribute its products or services. This includes direct costs, such as the cost of raw materials, labor and overhead expenses, as well as indirect costs, such as marketing and administrative expenses.

Revenue, on the other hand, refers to the income generated by a business through the sale of its products or services. Revenue can be calculated by multiplying the price of a product or service by the number of units sold.

Profit is the difference between revenue and cost, and is a measure of how much money a business earns after all of its expenses are paid. A business earns a profit when its revenue exceeds its total costs, including both fixed and variable costs.

Profit can be further broken down into gross profit and net profit. Gross profit is the difference between revenue and the direct cost of producing or delivering a product or service. Net profit, on the other hand, is the profit that remains after all expenses, including indirect costs, taxes and interest payments, have been deducted from revenue.

In summary, cost refers to the expenses incurred by a business, revenue refers to the income generated by the sale of products or services, and profit is the difference between revenue and cost, indicating how much money a business earns after all expenses are paid.

Step-by-step explanation:

Fabian has $0.05x + $0.01y in total.

If Fabian has 130 nickels, his collection is worth:

130 nickels at $0.05 each translate to $6.50.

Moreover, if he has 120 cents, the total amount is:

120 pennies multiplied by the price of a penny ($0.01) equal $1.20.

Combining these two numbers, Fabian has:

$6.50 + $1.20 = $7.70

Fabian now has $7.70 in total.

If Fabian owns x nickels, the worth of those nickels is:

x nickels * 0.05 cents each nickel = 0.05x

Moreover, if he possesses y cents, the total worth is:

y pennies * $0.01 per penny = $0.01y

Combining these two numbers, Fabian has:

$0.05x + $0.01y

Fabian therefore has a total of $0.05x + $0.01y.

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Answer:

Jennifer went grocery shopping; She purchased supplies to make sandwiches.

Step-by-step explanation:

Out of all the other sentences, "Jennifer went grocery shopping; She purchased supplies to make sandwiches." is the only grammatically correct answer.

The future population of the rabbit in the first year is 290.

Logistic growth is defined as the population growth where the growth rate gets smaller as the size of the population approaches the maximum. This maximum point is called carrying capacity.

Here given that,

Carrying capacity, K = 2000

Initial population, P₀ = 200

Growth rate, r = 50% = 0.5

Population in the first year, P₁ = P₀ + r [(1 - P₀/K) P₀]

                                                 = 200 + 0.5 [(1 - 200/2000) 200]

                                                 = 200 + 90

                                                 = 290

Hence the population in the first year is 290.

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The answer should be: x [tex]\geq[/tex] -10

The amount that Fatima will pay each month for the student loan of $15,000 for 10 years at 8.25% interest is $183.98.

The monthly payment can be computed using an online finance calculator below.

The monthly payment shows the periodic amount that the borrower repays the financier to settle the student loan, including accumulated interest.

N (# of periods) = 120 months (10 years x 12)

I/Y (Interest per year) = 8.25%

PV (Present Value) = $15,000

FV (Future Value) = $0

Results:

Monthly payment (PMT) = $-183.98

Sum of all periodic payments = $-22,077.47

Total Interest = $7,077.47

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The possible value of angle M is 30.6°.

Law of sines is defined as that ratio of the length of the sides of a triangle to the sine of the angle opposite to the these sides are equal.

That is, if a, b and c are sides opposite to the angles A, B and C respectively, then,

a / sin A = b / sin B = c / sin C

Given is a triangle LMN.

Given,  m = 4.1 inches, I = 3.9 inches

∠L = 151°. We have to find ∠M.

Using law of sines,

l / sin L = m / sin M

3.9 / sin (151°) = 4.1 / sin (M)

sin (M) = [4.1 × sin (151°)] / 3.9

           = 0.5097

M = sin⁻¹ (0.5097) = 30.64° ≈ 30.6°

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The question is incomplete. The complete question is,

In triangle LMN, m = 4.1 inches, I = 3.9 inches and ∠L = 151°. Find all possible values of ∠M to the nearest 10th of a degree.

So, by resolving the given, we obtain the result: Hence, the two angles angles  have respective measurements of 18 degrees and 54 degrees.

An angle is a form in Euclidean geometry made composed of two rays, referred to as the angle's sides, that converge at a centre point known as the angle's vertex. In the plane where they are positioned, two rays may come together to make an angle. A planar collision produces an angle as well. Dihedral angles are what these are known as. A potential arrangement of two rays or lines that share a termination is called an angle in plane geometry. The Latin word "angulus," which means "horn," is where the English word "angle" originates. The intersection of the two rays, often referred to as the angles' sides, is known as the vertex.

Let's designate "x" for the smaller angle and "y" for the greater angle.

We understand the following from the problem:

x + y = 72 (the total of the measurements of two neighbouring angles equals 72) (the sum of the measures of two adjacent angles is 72)

x/y = 1/3 (the ratio of the smaller angle to the bigger angle is 1:3) (the ratio of the smaller angle to the larger angle is 1:3)

x/y = 1/3

x = (1/3)y

x + y = 72

(1/3)y + y = 72

(4/3)y = 72

y = (3/4) * 72

y = 54

Hence, 54 degrees is the greater angle.

We can now utilise the second equation once more to get the value of x:

x/y = 1/3

x/54 = 1/3

x = (1/3) * 54

x = 18

The smaller angle is 18 degrees as a result.

Hence, the two angles have respective measurements of 18 degrees and 54 degrees.

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Answer:

4x+14

Step-by-step explanation:

Let x represent the cost of one movie ticket. If we have 4 sisters, we can write the first term as 4x.

Then, because we have the additional $14, we just add 14 to the expression.

Thus the answer is 4x+14

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The exact values are;

Sin 2x = 7/8

Cos 2x = 7/4

Tan 2x = 1

Trigonometric ratios are mathematical functions that relate the angles and sides of a right-angled triangle. The three primary trigonometric ratios are:

Sine (sin) - the ratio of the length of the opposite side to the length of the hypotenuse.

Cosine (cos) - the ratio of the length of the adjacent side to the length of the hypotenuse.

Tangent (tan) - the ratio of the length of the opposite side to the length of the adjacent side.

Given that sinx = 7/16

opposite = 7

Hypotenuse = 16

Adjacent is now;

b^2 = 16^2 - 7^2

b = 14

Thus;

Sin 2x = 14/16 = 7/8

Cos 2x = 2(14/16) = 28/16 = 7/4

Tan 2x = 2(7/14) = 14/14 = 1

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The response to the given question would be that As a result, we have demonstrated that ABCD's opposing sides are parallel, proving that ABCD is a parallelogram.

A simple quadrilateral with two sets of parallel sides is known as a parallelogram in Euclidean geometry. Both sets of opposite sides are parallel and equal in a particular type of quadrilateral known as a parallelogram.

We must demonstrate that the opposing sides of ABCD's parallelogram are parallel.

CBA = DAB (Alternate interior angles)

Alternative interior angles (ABD = BAC; ADC = CBD) (Alternate interior angles)

DCA = ACD (Alternate interior angles)

Considering that AD = BC, we also have:

A + B Equals A + C. (Also on both sides)

AD = BC

Think about the two pairs of sides that are diagonally opposed: AB and CD and AD and BC.

We have these for AB and CD:

Interior angles of a quadrilateral: DAB + ABD + BCD + CDA = 180°; CBA + BAC + ADC + DCA = 180°. (Substituting corresponding angles)

We may insert them in and simplify to get: since DAB = CBA and ABD = BAC.

BCD = ADC

As a result of having the same transversal CD and equal alternative interior angles, AD and BC are also parallel. As a result, we have demonstrated that ABCD's opposing sides are parallel, proving that ABCD is a parallelogram.

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a. A ⋁ G: Elvis is alive or Elvis gained weight.

b. ~(A ⋀ G): Elvis is not both alive and gained weight.

c. G → ~A: If Elvis gained weight, then Elvis is not alive.

d. A ↔ ~G: Elvis is alive if and only if Elvis did not gain weight.

Answer:

Step-by-step explanation:

[tex]6x-10=2x+18[/tex]   (opposite sides of parallelogram are equal)

[tex]4x-10=18[/tex]           (subtracted [tex]2x[/tex] from both sides)

[tex]4x=28[/tex]                   (added 10 to both sides)

[tex]x=7[/tex]                       (divided both sides by 4)

Substitute [tex]x=7[/tex] to find length AB:

[tex]AB=6x-10[/tex]

      [tex]=6[/tex]×[tex]7-10[/tex]

       [tex]=32[/tex]

Using basic arithmetic operation, Ann's stock investment has increased in value more, by $331.25, compared to her bond investment, which has increased in value by $378.66.

The current value of Ann's bond investment can be calculated using the following formula:

Current Value of Bonds = Par Value x Market Rate

Since Ann has 7 bonds with a par value of $500 each, the total par value of her bond investment is:

$500 x 7 = $3,500

Using the market rate of 106.384, we can calculate the current value of Ann's bond investment as:

Current Value of Bonds = $3,500 x 1.06384 = $3,725.44

The current value of Ann's stock investment can be calculated by multiplying the number of shares she owns by the current stock price:

Current Value of Stock = Number of Shares x Stock Price

Since Ann owns 125 shares of Cilla Shipping stock and the current stock price is $30.65, the current value of her stock investment is:

Current Value of Stock = 125 x $30.65 = $3,831.25

To determine which investment has increased in value more, we need to compare the difference between the current and original values of each investment. The original value of Ann's bond investment is:

Original Value of Bonds = Par Value x Market Rate = $500 x 7 x 0.95626 = $3,346.78

The difference between the current and original value of Ann's bond investment is:

$3,725.44 - $3,346.78 = $378.66

The original value of Ann's stock investment is:

Original Value of Stock = Number of Shares x Stock Price = 125 x $28.00 = $3,500

The difference between the current and original value of Ann's stock investment is:

$3,831.25 - $3,500 = $331.25

Hence, Ann's stock investment has increased in value more, by $331.25, compared to her bond investment, which has increased in value by $378.66.

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(a) The break-even points are approximately 1,581 and 2,809 units produced.

(b)  The maximum revenue is approximately $2,088,931.47.

(c) P(x) = -5/9x² + 919x - 49,400

(d) The price that will maximize the profit is approximately $1,829.17 per unit.

An algebraic expression is when we use numbers and words in solving a particular mathematical question.

(a) To find the break-even points, we need to find the values of x at which the total revenue equals the total cost. The total revenue is the product of the selling price and the number of units sold, while the total cost is the sum of the fixed cost and the variable cost per unit multiplied by the number of units sold. Thus, we have:

Total revenue = Selling price × Number of units sold = (2148 - 5/9x)x

Total cost = Fixed cost + Variable cost per unit × Number of units sold = 49,400 + (49x/9 + 222)x

Setting the total revenue equal to the total cost, we get:

2148x - 5/9x² = 49,400 + (49x/9 + 222)x

Multiplying both sides by 9, we get:

19332x - 5x² = 445,110

Simplifying, we get:

5x²- 19332x + 445,110 = 0

Using the quadratic formula, we get:

x = (19332 ± sqrt(19332² - 4(5)(445,110))) / (2(5))

x ≈ 2808.6 or x ≈ 1581.4

Hence, the break-even points are approximately 1,581 and 2,809 units produced.

(b) The revenue function is given by:

R(x) = (2148 - 5/9x)x

To find the maximum revenue, we can take the derivative of the revenue function with respect to x, set it equal to zero, and solve for x:

R'(x) = 2148 - 10/9x = 0

x = 19332/10 ≈ 1933.2

Substituting this value of x into the revenue function, we get:

R(1933.2) ≈ $2,088,931.47

Hence, the maximum revenue is approximately $2,088,931.47.

(c) The profit function P(x) is given by:

P(x) = R(x) - C(x) = (2148 - 5/9x)x - (49,400 + (49x/9 + 222)x)

Simplifying, we get:

P(x) = -5/9x² + 919x - 49,400

(d) To find the maximum profit, we can take the derivative of the profit function with respect to x, set it equal to zero, and solve for x:

P'(x) = -10/9x + 919 = 0

x = 8265

Substituting this value of x into the profit function, we get:

P(8265) ≈ $1,077,927.78

Therefore, the maximum profit is approximately $1,077,927.78.

To find the price that will maximize the profit, we need to substitute the value of x into the selling price function:

Selling price = 2148 - 5/9x = 2148 - 5/9(8265) ≈ $1,829.17

Hence, the price that will maximize the profit is approximately $1,829.17 per unit.

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P(sum of 8 | sum > 7) = 2/36 = 1/18

So the probability of rolling a sum of 8 given that the sum is greater than 7 is 1/18 or approximately 0.056.

We must first ascertain the total number of outcomes where the sum is larger than 7 in order to calculate the likelihood that the sum of two fair dice will be 8.

A sum larger than 7 can only result in the following outcomes: (2,6), (3,5), (4,4), (5,3), and (6,2). As there are six alternative outcomes for each die roll, there are 36 permutations in which these five events can occur.

We must now count the number of these 36 outcomes that have a sum of 8. There are just two outcomes that could satisfy this requirement: (2,6) and (3,5). Hence, provided that the sum is more than 7, the following is the likelihood of rolling an 8:

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XPO's minimum tax credit carryover to 2019 is $20,500.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants. An algebraic expression is a mathematical phrase that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

XPO's minimum tax credit from 2017 is $51,000. This means that they are allowed to reduce their 2018 tax liability by up to $51,000 using this credit.

Since their 2018 tax liability before any MTC carryover is $30,500, they have not used the entire minimum tax credit for 2017. Therefore, they can carry over the remaining credit to 2019.

To calculate the minimum tax credit carryover to 2019, we need to subtract the amount of the minimum tax credit that XPO used in 2018 from the total minimum tax credit of $51,000:

Minimum tax credit carryover = $51,000 - $30,500 = $20,500

Therefore, XPO's minimum tax credit carryover to 2019 is $20,500.

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Based on the information provided, it can be concluded the loan's simple interest is 4.01%.

The simple interest is the difference between the future value of the loan and the loan amount.

Simple interest = future value - loan amount $2762 - $2300 = $462

The simple interest rate is a linear function of the loan amount, the interest rate, and the duration of the loan. The simple interest that is paid is the same each year for each period of the duration of the loan.

Simple interest = loan amount x time x interest rate

Interest rate = simple interest / (loan amount x time) = 462 ÷ (6/12 x 2300) = 0.401= 4.01%

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