The value for angle C is 120° and the value for angle D is 80°.
Solve for x and y. hint: opposite angles add up to 180°
Show all work- no work = no points

Step-by-step explanation:If x and y vary directly, it means that they are proportional to each other. We can write an equation that relates x and y using the proportionality constant k:

y = kx

To find k, we can use the given information that y = 56 when x = 14:

56 = k(14)

Solving for k, we get:

k = 4

Now we can use this value of k to find y when x = 5:

y = 4x

y = 4(5)

y = 20

Therefore, when x = 5, y = 20.

The surface area of a cell phone screen is 117 cm².

What is unit conversion?

Unit conversion is the process of converting a quantity expressed in one unit of measurement to an equivalent quantity expressed in another unit of measurement.

We can convert mm² to cm² by dividing the area in mm² by the square of the conversion factor, which is (10 mm / 1 cm) = 100 mm² / cm². Therefore, we have:

11700 mm² / (100 mm² / cm²) = 117 cm²

Rounding to the nearest whole number, we get 117 cm².

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Answer:

The jumping dolphin is approx. 6 meters under sea level

The flying seagull is approx. 8 meters under sea level

The mobula ray is approx. 2 meters under sea level

The clownfish is approx.t 4 meters under sea level

The octopus is approx.  8 meters under sea level

The jumping dolphin: The mobula ray is 9 meters lower than the jumping dolphin.

The flying seagull: The mobula ray is 11 meters lower than the flying seagull.

The octopus: The mobula ray is 11 meters higher than the octopus.

The jumping dolphin: The albatross is 1 meter lower than the jumping dolphin.

The flying seagull: The albatross is 3 meters lower than the flying seagull.

The octopus: The albatross is 13 meters higher than the octopus.

The jumping dolphin: The clownfish is 8 meters lower than the jumping dolphin.

The flying seagull: The clownfish is 10 meters lower than the flying seagull.

The octopus: The clownfish is 6 meters higher than the octopus.

If the new dolphin is above the dolphin in the picture, then its distance from the surface of the ocean is 6 - 3 = 3 meters.

If the new dolphin is below the dolphin in the picture, then its distance from the surface of the ocean is 6 + 3 = 9 meters.

✧☆*: .｡. Hope this helps, happy learning! (✧×✧) .｡.:*☆✧

the surface area of the triangular prism is 151.18 cm².by using  triangular prism surface area formula we can solve this

what is triangular prism ?

A triangular prism is a three-dimensional geometric shape that consists of two parallel congruent triangles as its bases and three rectangular faces that connect the corresponding sides of the two triangles.

In the given question,

To find the surface area of a triangular prism, we need to add up the areas of all its faces.

In this case, the triangular prism has two identical triangular bases and three rectangular faces. The dimensions of the triangular base are 5 cm, 5 cm, and 8 cm, while the height of the prism is 6 cm. The dimensions of the rectangular faces are 5 cm by 6 cm and 8 cm by 6 cm, and 4 cm by 6 cm.

The surface area can be calculated as follows:

The area of each triangular base is (1/2) * base * height, where the base is the length of one of the sides and the height is the perpendicular distance between the side and the opposite vertex. The height can be calculated using the Pythagorean theorem, since the base is an isosceles triangle. Thus, the area of one base is:

(1/2) * 5 cm * √(5² - (5/2)²) = 24.59 cm²

Therefore, the total area of both bases is 2 * 24.59 cm² = 49.18 cm².

The area of each rectangular face is the product of its length and width. Thus, the area of the rectangular face with dimensions 5 cm by 6 cm is 5 cm * 6 cm = 30 cm², the area of the rectangular face with dimensions 8 cm by 6 cm is 8 cm * 6 cm = 48 cm², and the area of the rectangular face with dimensions 4 cm by 6 cm is 4 cm * 6 cm = 24 cm²

Therefore, the total area of all three rectangular faces is 30 cm² + 48 cm² + 24 cm² = 102 cm².

Finally, we add up the area of the two triangular bases and the three rectangular faces to get the total surface area:

49.18 cm² + 102 cm² = 151.18 cm²

Therefore, the surface area of the triangular prism is 151.18 cm².

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let's say A(-6 , 4) and B(-2 , -4), so let's have point C partitions it from A to B in a 3:5 ratio, so

[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(-6,4)\qquad B(-2,-4)\qquad \qquad \stackrel{\textit{ratio from A to B}}{3:5} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{3}{5}\implies \cfrac{A}{B} = \cfrac{3}{5}\implies 5A=3B\implies 5(-6,4)=3(-2,-4)[/tex]

[tex](\stackrel{x}{-30}~~,~~ \stackrel{y}{20})=(\stackrel{x}{-6}~~,~~ \stackrel{y}{-12}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-30 -6}}{3+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{20 -12}}{3+5} \right)} \\\\\\ C=\left( \cfrac{ -36 }{ 8 }~~,~~\cfrac{ 8}{ 8 } \right)\implies C=\left(-\cfrac{9}{2}~~,~~1 \right)\implies C=\left(-4\frac{1}{2}~~,~~1 \right)[/tex]

Answer:

  (A)  x² +8

Step-by-step explanation:

You want to select the quadratic binomial from the given list.

The term "quadratic" is used interchangeably with "degree 2" when referring to a polynomial's degree.

A "binomial" is a 2-term polynomial. The prefixes mono-, bi-, tri- are used with -nomial to describe the number of terms as being 1, 2, or 3, respectively.

The quadratic binomial in the list is ...

  x² +8

__

Additional comment

This is a vocabulary question. You are expected to be familiar with the meaning of these descriptive terms. The others on the list are ...

Therefore, Mr. Livingston can give each of his 9 students 5 stamps, with 3 stamps left over.

the quotient is the result of dividing one quantity (dividend) by another quantity (divisor). It represents the number of times the divisor can be evenly divided into the dividend. The quotient is typically expressed as a numerical value, and it can be an integer or a fraction, depending on the nature of the division.

For example, if we divide 10 by 2, the quotient is 5, because 2 can be evenly divided into 10 five times. Similarly, if we divide 9 by 4, the quotient is 2 with a remainder of 1, because 4 can be divided into 9 two times, but there is one left over.

To find out how many stamps Mr. Livingston can give to each student, we need to divide the total number of stamps (48) by the number of students (9):

48 ÷ 9 = 5 R3

The quotient is 5, meaning each student can receive 5 stamps. However, there is a remainder of 3, meaning there will be 3 stamps left over that cannot be divided equally among the students.

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The solution to the integral of e^√x with respect to x is:

∫ e^√x dx = 2√x * e^√x - 2e^√x + C.

The integral of e^√x with respect to x is:

∫ e^√x dx

This integral can be solved using substitution. Let u = √x, then du/dx = 1/(2√x), which means that dx = 2u du.

Substituting these values, the integral becomes:

∫ e^√x dx = ∫ e^u * 2u du

This integral can be solved using integration by parts.

Let u = u and dv = e^u * 2u du, then du/dx = 0 and v = e^u.

Using the integration by parts formula, we have:

∫ e^√x dx = ∫ e^u * 2u du

= u * e^u - ∫ e^u du

Simplifying this expression, we get:

∫ e^√x dx = 2√x * e^√x - 2e^√x + C

where;

Therefore, the solution to the integral of e^√x with respect to x is:

∫ e^√x dx = 2√x * e^√x - 2e^√x + C

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The point (4, 4) is a solution to the equation 2y + x = 12 because it is on the graph of that equation. However, the point (4, 4) is not on the graph of the equation y = x – 2. Therefore, (4, 4) cannot be a solution to the system of equations.

Answer: The equation of the line through the points (-3,-4) and (5,3) using point-slope form is y - (-4) = (7/8)(x - (-3)) and the equation of the line in slope-intercept form is y = (7/8)x - (11/8).

Step-by-step explanation:

Answer:

13/15

Step-by-step explanation:

We Know

2/3 of them are chocolate chip cookies.

1/5 of them are sugar cookies.

What fraction of the cookies are chocolate chip or sugar?

2/3 + 1/5 = 10/15 + 3/15 = 13/15

So, 13/15 of the cookies are chocolate chip or sugar.

After 29 years of compounded interest at a rate of 5% quarterly, the retirement account would be worth approximately $455527.25.

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.

We can use the formula for compound interest to find the future value of the retirement account:

[tex]FV = P(1 + r/n)^{(nt)[/tex]

where FV is the future value, P is the principal, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the time in years.

In this case, P = $100509, r = 0.05 (5% expressed as a decimal), n = 4 (since interest is compounded quarterly), and t = 29. Plugging these values into the formula, we get:

[tex]FV = $100509(1 + 0.05/4)^{(4*29)[/tex]

FV ≈ $455527.25

Therefore, after 29 years of compounded interest at a rate of 5% quarterly, the retirement account would be worth approximately $455527.25.

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Troy needs a score of 80.28 or higher to be in the top 10% of his class. Since he scored 83, he did perform in the top 10% of his class on this exam.

Percentage is a way of expressing a fraction or a proportion as a portion of 100.

To convert Troy's score to a z-score, we use the formula:

z = (X - M) / SD

where X is Troy's score, M is the class average, and SD is the standard deviation. Plugging in the values we have:

z = (83 - 76.80) / 3.10 = 2.00

To plot this on a distribution, we look up the corresponding area in the z-table. A z-score of 2.00 corresponds to an area of 0.9772.

To convert Troy's score to a percentile rank, we use the formula:

Percentile rank = (number of scoreS below X / total number of scores) x 100%

His percentile rank is approximately:

Percentile rank = (0.9772) x 100% = 97.72%

We can do this by subtracting the area to the left of Troy's z-score from the area to the left of the class average's z-score:

Area  = 0.9772 - 0.5000 = 0.4772

This means that about 47.72% of the scores are between Troy's score and the class average.

Using the formula for z-scores, we can solve for X:

X = (z)(SD) + M = (1.28)(3.10) + 76.80 = 80.28

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Answer: B

Step-by-step explanation:

Dont trust me

[tex]\textit{lateral area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=4\\ r=3 \end{cases}\implies LA=\pi (3)\sqrt{3^2 + 4^2} \\\\\\ LA=3\pi\sqrt{9+16}\implies LA=3\pi \sqrt{25}\implies LA=3\pi (5)\implies LA=15\pi~cm^2[/tex]

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{(-2)}) \implies y -1 = \cfrac{1}{3} ( x +2) \\\\\\ y-1=\cfrac{1}{3}x+\cfrac{2}{3}\implies y=\cfrac{1}{3}x+\cfrac{2}{3}+1\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x+\cfrac{5}{3} \end{array}}[/tex]

Answer:

3657

Step-by-step explanation:

I multiplied the number of people by how much the tickets cost (23x159) which got me 3657

The main difference between a pyramid and a prism is their base shape and the number of faces, edges, and vertices they possess.

A pyramid is a 3D shape that has a base in the form of a polygon, with triangular faces that meet at a single point known as the apex. The shape of the base can vary, with some common ones being triangles, squares, and pentagons. Pyramids have a total of five faces, including the base. The number of edges and vertices depends on the number of sides of the polygonal base. Pyramids are commonly found in ancient architecture, such as the Egyptian pyramids, and are often used to represent power and strength.

A prism, on the other hand, is a three-dimensional shape that has two identical polygonal bases that are connected by rectangular faces. The shape of the bases can vary, with some common ones being triangles, rectangles, and hexagons. Prisms have a total of six faces, including the two identical polygonal bases. The number of edges and vertices of a prism depends on the shape and number of sides of its bases. Prisms are often found in modern architecture, such as in the design of buildings and bridges.

Pyramids and prisms are two distinct three-dimensional geometric shapes that differ primarily in their base shape. A pyramid's base is a polygon, whereas a prism has two parallel polygonal bases connected by rectangular faces. Pyramids have a total of five faces, including the base, while prisms have six faces, with two identical polygonal bases. The number of edges and vertices of both shapes is determined by the shape and number of sides of their respective bases.

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The complete question is: "The difference between a pyramid and a prism."

The cost is $8712 when the two companies charge the same for 12 tons of sugar.

What is equality?

Equality is a concept in mathematics that refers to the idea that two values, expressions, or equations are equal to each other. In an equality, the values on either side of an equals sign have the same numerical or algebraic value.

Let x be the amount of sugar in tons. The total cost for the first company is given by:

C1 = 7500 + 100.50x

The total cost for the second company is given by:

C2 = 6597 + 175.75x

We want to find the amount of sugar x for which the two companies charge the same, so we can set the two expressions equal to each other and solve for x:

7500 + 100.50x = 6597 + 175.75x

Subtracting 6597 from both sides gives:

903 = 75.25x

Dividing both sides by 75.25 gives:

x ≈ 12

So the two companies charge the same for 12 tons of sugar. To find the cost, we can plug x = 12 into either expression:

C1 = 7500 + 100.50(12) = 8712

C2 = 6597 + 175.75(12) = 8712

So the cost is $8712 when the two companies charge the same for 12 tons of sugar.

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Q1 = 15.15 Q2=

Step-by-step explanation:

do 5.5×3 or 5.5 to the power of 3 or add 5.5 + 5.5 + 5.5 then each square is 11secs times 3(how many sides there is ) and that's your answer

The measure of angle D in the given parallelogram, is 127° on the basis of the fact that the 360° is the angle sum property of any four sided quadrilateral.

what is parallelogram?

A four-sided polygon or quadrilateral with two pairs of sides  parallel is known as a parallelogram. The opposing sides must be equal and congruent. Four edges and four corners make up a parallelogram. A parallelogram is a two-dimensional shape having parallel, equal-length sides on two matching pairs of its opposite sides. The angles inside the two sides of the shape must sum up to 180°, which means that they must add up to 360° overall. It has parallel and equal sides on either side. It has equal opposite angles. Its diagonals cut each other in half.

Given that ∠A= (13x - 25)° , ∠C=(9x - 1)°

We know that in a parallelogram, the opposite angles are congruent & sum of adjacent angles are 180°

∴∠A = ∠C

(13x - 25)° = (9x - 1)°

13x - 9x = -1 + 25

        4x = 24

          x = 6

∠A= (13x - 25)°

    = 13(6) -25

    = 78 - 25

∠A = ∠C = 53°

As ∠A & ∠D are adjacent angles,

∠A + ∠D = 180°

53° + ∠D = 180°

         ∠D = 180° - 53

          ∠D = 127°

∴The measure of angle D in parallelogram ABCD=127°

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In order to fulfill the requirements, we need to draw exactly 5 quadrilaterals with appropriate markings on the grid. Here's an example design:

. . . . . 1 . . . .

. . . . / \ . . .

. . . ./. \.\ . .

. . . / . . \ \ .

. . ./. 5 . \.\ .

. . / . . . . \ \ .

. ./. . 4 . . \.\ .

. 2-----------3 .

. .\ . . . . . /. .

. . \ . . . ./. .

. . .\.\ . / /. .

. . . \.\./ / . .

. . . . \  / . .

. . . . .\/. . .

A parallelogram has two pairs of parallel sides.

A rectangle is a type of parallelogram where all angles are right angles.

A rhombus is a type of parallelogram where all sides are equal in length.

A square is a type of rectangle where all sides are equal in length.

A trapezoid has one pair of parallel sides.

A quadrilateral with no other classification is any quadrilateral that does not fit into the above categories

In this design, we have:

Parallelogram 1, marked with arrows to indicate its parallel sides.

Rectangle 2, marked with right-angle symbols to indicate its right angles.

Rhombus 3, marked with tick marks to indicate its equal sides.

Square 4, marked with tick marks and a right-angle symbol to indicate its equal sides and right angles.

Trapezoid 5, marked with a line and arrows to indicate its parallel sides and non-parallel sides.

All of the shapes in this design are quadrilaterals, and we have exactly 3 parallelograms, 2 rectangles, 1 rhombus, 1 square, 1 trapezoid, and 1 quadrilateral with no other classification.

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The table that identifies the one-sided and two-sided limits of function f at x = 2 is table A.

It should be.noted that to graph this piecewise function, follow these steps:

Plot the two given points: open circle (2, 4) and closed circle (2, 1).

Draw a smooth curve that starts at the open circle (2, 4) and curves down toward the x-axis in quadrant 2. This is the curve part of the piecewise function.

Draw a straight line that starts at the closed circle (2, 1) and passes through the point (3, -2). This is the line part of the piecewise function.

The two parts of the piecewise function meet at the point (2, 0), which is where the curve intersects the x-axis. Mark this point with an open circle to indicate that it is not included in the function.

Shade in the region above the curve and to the left of the line, since those are the parts of the plane where the function is defined. The correct option is A.

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For a large sample size (greater than 30), distribution is normal.

An insurance company claims that in the population of homeowners, the mean loss and standard deviation from fire is

μ = $250

o = $5000

The distribution of loss is strongly right skewed.

a). Since for a simple random sample of size n= 15 drawn from  the population of homeowners.

Since the given sample size is small. Therefore for small sample size less the 30 the distribution of

follow t- distribution.

Since t distribution has more variance than normal distribution.

Also t- distribution is symmetric as normal distribution at t=0.

For small sample size sampling distribution is t -distribution.

b). Now if the simple random sample of size n = 10000 drawn from the population of homeowners.

Thus for the large sample size and given mean and standard deviation sampling distribution of x follow normal distribution. Also we know that normal distribution have a bell-shaped curve which is symmetric to z=0.

For a large sample size (greater than 30), distribution is normal.

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Answer:

12.5 km

Step-by-step explanation:

To convert m to Km, divide the distance in m by 1000.

   1000 m = 1 Km

          [tex]\sf 1 m =\dfrac{1}{1000}km\\\\\\12500 \ m = \dfrac{1}{1000}*12,500\\\\[/tex]

                        = 12.5 Km

47) Given the above f(30) = 4(30) - 3 = 117.

48) The differences between the areas are 5 and 16, respectively, which are not the same.
49) The range of an arithmetic sequence is also discrete, since the terms of the sequence are usually integers.
50) the range of an arithmetic sequence can contain both positive and negative numbers.

47- We can see that the areas of the figures form an arithmetic sequence. The common difference is 4, since each subsequent figure has 4 more square inches than the previous one. The first term is 1, so the function that represents this arithmetic sequence is f(n) = 4n - 3, where n is the number of the figure.

Thus, f(30) = 4(30) - 3 = 117.

48- We can see that the areas of the figures do not form an arithmetic sequence. The differences between the areas are 5 and 16, respectively, which are not the same.

49- The domain of an arithmetic sequence is discrete, since it consists of a set of integers. The range of an arithmetic sequence is also discrete, since the terms of the sequence are usually integers.

50- Your friend is not entirely correct. While it is true that the domain of an arithmetic sequence is a set of positive integers and the output values either constantly increase or constantly decrease, this does not necessarily mean that the range contains only positive or negative numbers.

For example, consider the arithmetic sequence with first term 0 and common difference 1/2: 0, 1/2, 1, 3/2, 2, ... The range of this sequence includes both positive and negative numbers. Therefore, the range of an arithmetic sequence can contain both positive and negative numbers.

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Answer:

Step-by-step explanation:

f(x) = x^5 -2x^2 + 2

f(1)=1-2+2

f(1)=1

Answer:

Step-by-step explanation:

Answer: The answer is B

Step-by-step explanation:

Answer:

[tex]\dfrac{1}{4}(y - 2)[/tex]

Step-by-step explanation:

To take out (1/4) as a common term, multiply the denominator and the numerator of the second term by 2.

    [tex]\dfrac{1}{4}y- \dfrac{1}{2}=\dfrac{1}{4}y - \dfrac{1*2}{2*2}\\[/tex]

                [tex]= \dfrac{1}{4}y-\dfrac{1}{4}*2\\\\=\dfrac{1}{4}(y-2)[/tex]

The value of x and y in the both equations are -3 and 2 respectively.

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations.

Given the equations:

y + 3x = -4     (1)

And

y = x + 4         (2)

To solve both equations simultaneously, substitute x + 4 for y in the first equation:

x + 4 + 3x = -4

4x + 4 = -4

4x = -8

x = -2

y = x + 4

y = -2 + 4

y = 2

The value of x is -3 and the value of y is 2.

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