Find DE
3x - 28
3x - 30
D
G
E
F
33

Answer: C

Step-by-step explanation:

Therefore ,in light of this, the solution (n -2) * 180 can be used to solve the following polygon issue, where is the actual number of sides.

It has straight sides. A polygon's vertices (or corners) are the points at which two of its sides meet. A figure with three or more straight sides is known as a closed, two-dimensional polygon. Any form with angular sides, such as a triangle or a rectangle, is a polygon. Open-sided or curved figures are not considered to be polygons.

Here,

example

The sum of each internal angle in a polygon can be calculated by applying the formula (n-2)*180, where n is the total number of sides in the polygon.

The required polygon has nine sides, hence the sum of external angles in this case is (9-2)*180, or 7, which is equivalent to 1,260 degrees.

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Answer: Slope:5/3

Y-intercept: y=1.67x+-4

Step-by-step explanation:

Slope:

Take two points and put it in for m=y2-y1/x2-x1

we can use (0,-4) and (3,1)

m=1--4/3-0

m=5/3

m=1.67

Then we use m in y intercept and use the first point as b

y = mx + b

y=1.67x+b

-4 = 1.67(0) + b

-4 = 0 + b

-4 = b

b = -4

y = 1.67x + -4

Y intercept: y = 1.67x + -4

Slope: 5/3

Good luck

Answer:

Step-by-step explanation:

t1= 60/57

t2=60/40=1.5

v= (57+40)/2= 48.5

i got nothin

like what?

The theoretical probability of landing on pink is 3/10, and the experimental probability is 30%. Therefore, option D is the correct answer.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Given that, a spinner with 4 equal sections is spun 20 times.

The frequency of spinning each color is recorded in the table below.

Outcome         Frequency

   Pink                    6

   White                  3

   Blue                    7

   Orange               4

Probability of landing on color pink is 6/20

= 3/10

= 3/10 ×100

= 30%

Therefore, option D is the correct answer.

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The integral represents a graph of the signed area, and the geometry is calculated. The area is found to be 100 units².

A plane that is created when two perpendicular coordinate axes cross each other is known as a cartesian plane. Everywhere in the Cartesian plane, the functions define the boundaries of regions with regular geometrical patterns. The right triangle and other regular regions are good examples of how the area of a region may be computed using the geometry of the region.

The given function is [tex]\int\limits^{10}_{-10} {|x|} \, dx[/tex].  The function of this integrand is defined as f(x)=|x| with -10 ≤ x ≤ 10. Now, the graph is drawn for this function.

From the graph, we can tell the base and height of the two right-angle triangles are 10 units and 10 units. Then, the area is,

[tex]\begin{aligned}A&=2\left(\frac{1}{2}\times b\times h\right)\\&=2\times \frac{1}{2}\times 10 \times 10\\&=\mathrm{100\;{units}^2}\end{aligned}[/tex]

The area can also be calculated by solving the integrals,

[tex]\begin{aligned}\int\limits^{10}_{-10} {|x|} \, dx &=\int\limits^0_{-10} {-x} \, dx +\int\limits^{10}_0 {x} \, dx\\&=\left[\frac{x^2}{2}\right]^{0}_{-10} +\left[\frac{x^2}{2}\right]^{10}_{0}\\&=\frac{1}{2}(100+100)\\&=\mathrm{100\;units^2}\\\end{aligned}[/tex]

The required answer is 100 units².

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Answer:

25:5:12

wat

Step-by-step explanation:

follow me

pls

Answer: 10, 5, 12, and 3 compear each other.

Step-by-step explanation: only this way, I don't know is there other

The probability of getting a household income of $75,000 in Maryland is 0.3989.

The normal distribution formula is given by:

P(x) = 1/√(2πσ^2) * e^[-(x-μ)^2 / (2σ^2)]

Where,

P(x) - Probability of getting a household income of x

μ - Mean annual household income in Maryland

σ - Standard deviation of annual household income in Maryland

Assuming that the mean annual household income in Maryland is $75,000 and the standard deviation is $10,000, the probability of getting a household income of $75,000 can be calculated using the formula given above.

P(75000) = 1/√(2π10000^2) * e^[-(75000-75000)^2 / (2*10000^2)]

= 0.3989 * e^(0)

= 0.3989

Therefore, the probability of getting a household income of $75,000 in Maryland is 0.3989.

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1.125 cups of frozen mango is needed to serve one

A smoothie recipe contains 2 1/4 cups of frozen mango

This recipe can serve a total number of two people

The first step is to change the mixed fraction to an improper fraction

2 1/4

9/4

The number of cups of frozen mango needed to serve one person is

9/4 ÷ 2

9/4 × 1/2

= 9/8

= 1.125

Hence the number of cups of frozen mango required to serve one person is 1.125

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Answer:

W = -8

Step-by-step explanation:

Sorry fir taking so long, the description is pretty long, and difficult to type, but if you need one let me know :D

Answer: (0,10) and (3,1)

Step-by-step explanation:

Before I solve the system, I am going to rewrite it to make it easier for me to understand it.

[tex]y=(x-3)^2+1\\y=-3x+10[/tex]

Notice that f(x) and g(x) have been changed into y. The reason is because f(x) and g(x) are the same and stand for y, but we only use f and g to distinguish between the 2 equations. We can use equal values to solve.

[tex](x-3)^2+1=-3x+10[/tex]              [exponent]

[tex]x^2-6x+9+1=-3x+10[/tex]        [add both sides by 3x]

[tex]x^2-3x+10=10[/tex]                        [subtract both sides by 10]

[tex]x^2-3x=0[/tex]                                  [factor]

[tex]x(x-3)=0[/tex]

Notice that x=0 and x-3=0. This means the solutions are x=0 and x=3.

To find the actual full solution, we have to plug those points back into the original equations.

[tex]-3(0)+10=0+10=10\\-3(3)+10=-9+10=1[/tex]

Therefore, the solutions to this system are (0,10) and (3,1).

The number of flowers that can be planted in 1 hour is 6 flowers.

To solve equations or determine the value of a variable, cross multiplication is employed in mathematical operations. In this procedure, the numerator of one side is multiplied by the denominator of the other side.

Given that the time required to plant trees is:

3. 5 hours = 21 flowers

Convert 3.5 hours into minutes.

3 hours 60 = 180 minutes,

Additional half hour can be represented as: 1/2 hours 60 = 30 minutes.

Total hours is 180 + 30 = 210 minutes.

So it takes, 210 minutes to plant 21 flowers.

The time taken to plant flowers in 60 minutes is:

[tex]x = \frac{(21)(60)}{210} \\\\x=6[/tex]

Hence, the number of plants that can be planted in 1 hour is 6 flowers.

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Answer:

[tex]\frac{35}{12}[/tex]

Step-by-step explanation:

The tangent of an acute angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

Therefore , the solution to the given problem of equation comes out to be y = 2x + 4.

A proclamation of the equivalency of two expressions is an algebraic equation, which is calculated by performing the algebraic of addition, removal, multiplication, division, raising to a power, or extracting a root to a collection of variables. Examples include (y4x2 + 2xy - y)/(x - 1) = 12 and x3 + 1.

Here,

It is important to remember that parallel lines have the same slopes before trying to determine this line's equation.

As a result, we can predict that the new line will have a slope of 2 because the previous line has a slope of 2.

Now that we have that knowledge, we can utilize it to find the equation using point-slope form and the supplied point.

y - y1 = m(x - x1) (x - x1)

y - 8 = 2(x - 2) (x - 2)

y - 8 = 2x - 4

y = 2x + 4

Therefore , the solution to the given problem of equation comes out to be y = 2x + 4.

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The complete distance in feet on the table are a=6, b=7, c=8, d=7, and e=6.

In mathematics, a revolution is a full rotation, or a full 360-degree turn. The item starts and ends in the same location during a 360-degree revolution.

The circumference of the wheel is equal to the length of a full revolution, or 2*pi*radius. The whole rotation of the wheel is 360 degrees.

The eight of the point is 6 feet, and the wheel's radius is 1 feet.

The point will be in its initial position, which is 6 feet high.

The height will thus be a = 6 + 0 = 6 ft.

The point will reach half the whole height of the wheel, or 2 feet, when the distance travelled is pi/2.

Height of b = 6 + 1 = 7 feet will result.

The point will be at the top of the wheel, which is 2 feet higher than the lower point of the wheel, when the distance travelled equals pi.

The height will thus be c = 6 + 2 = 8 ft.

The point will be half the whole height of the wheel, or 2 feet, when the distance travelled is 3 pi/2.

The height will thus be d = 6 + 1 = 7 ft.

The point will be in its initial position, which is 6 feet high, when the distance travelled is 2 pi.

The height will thus be e = 6 + 0 = 6 ft.

Hence, the complete distance in feet on the table are a=6, b=7, c=8, d=7, and e=6.

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Since the midsegment of each trapezoid is parallel to each base and is half, it has a GH value of 0.85.

Having at least one pair of parallel sides, a trapezoid is a quadrilateral in American and Canadian English. In the UK and other nations that speak English, it is referred as as the Trapezium. A trapezoid is a convex quadrilateral according to Euclidean geometry. Its parallel sides make up the trapezoid's base. The trapezoid, a convex quadrilateral, is defined by an identical pair of opposite sides that are parallel to one another. On paper, the two-dimensional trapezoid shape seems like a table. The term "quadrilateral" in Euclidean geometry refers to a polygon with four sides and four vertices.

given

A trapezoid's midsegment runs parallel to each base and is half as long as all of the bases combined.

1/2 * 3x - 6 = 2x

3x - 6 = 4x

= -6 = 7x

x = 0.85

Since the midsegment of each trapezoid is parallel to each base and is half, it has a GH value of 0.85.

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Equations now take the shape:

  [1]    3x - 4y = 24

  [2]    3x + 4y = 6

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The number √ 54 is an irrational number.

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Given that;

The number is,

⇒ √54

Now,

⇒ √ 54 = 7.348469...

Hence, By definition of an irrational number,

It is an Irrational number.

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81 is the standard form of 3⁴

A number system is defined as a system of writing to express numbers.

The given expression is 3⁴

We need to write in the form of the standard form

3⁴ is nothing but three is multiplied four times

3×3×3×3

Thee times of three for two times

81

Hence, 81 is the standard form of 3⁴

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The given linear relationship slope of the line is D) 6.

What is slope?

An indication of how steep a line is is its slope. When calculating slope mathematically, "rise over run" is used (change in y divided by change in x). The ratio of how much y grows as x grows by a certain amount is known as the slope of a line. A line's slope, or the amount by which y rises as x rises, indicates how steep a line is. The slope is constant (the same) along the line.

Here from given tables lets take any two points to find slope, then

[tex](x_1,y_1)=(0,-6) and (x_2,y_2)=(1,0)[/tex]

Now using slope formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] then

=> m = [tex]\frac{0-(-6)}{1-0}[/tex]

=> m =[tex]\frac{6}{1}[/tex]

=> m = 6.

Hence the slope of the given table is D)6.

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2051/2 miles,The plane is travelling in a different direction from its original position, and the distance from the original position can be calculated by using the Law of Cosines.

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The requried pair of functions which are inverse of each other is f(x) = 13x - 7 and g(x) = x + 7 / 13.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
(A)

Given function,
f(x) = x / 3 + 10
Its inverse function is given as,
f(x) - 10 = x/3
x = 3(f(x) - 10)
change x = g(x) and f(x) = x
g(x) = 3[x - 10]

Similarly,
Inversfunciton,
B. g(x) = 9/x - 5
C. g(x) = x + 7 / 13
D. g(x) = x³/4

Thus, the requried pair of functions which are inverse of each other is f(x) = 13x - 7 and g(x) = x + 7 / 13.

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1. y = -1.15x + 102.8 is the equation of the line of best fit.

2. Using the line of best fit's equation, the estimated price is: $62.55.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

A statement is not an equation if it has no "equal to" sign.

According to our question-

1. Making use of the two points (20, 80) and (72, 20)

Slope (m) is equal to change in y/change in x, or (80 - 20)/(20 - 72) = 60/-52.

Slope is -1.15 meters.

Change y - b = m to m = -3 and (a, b) = (72, 20). (x - a)

y - 20 = -1.15(x - 72) (x - 72)

y - 20 = -1.15x + 82.8

y = -1.15x + 82.8 + 20

y = -1.15x + 102.8

The best line of fit is the equation y = -1.15x + 102.8.

2. To calculate the monthly heating expense, y, for a month with an average temperature of 35°F (x), enter x = 35 into the formula: y = -1.15x + 102.8.

y = -1.15(35) + 102.8

y = 62.55

The estimated monthly expenditure is $62.55.

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The trapezoid is a form of quadrilateral that has at least one parallel sides. The trapezoid here is given by the mentioned coordinates.

A point is a dot on a sheet of paper or in a plane. There are no lengths, widths, or heights in a point. It establishes a plane's position or location.

It is possible to find any point in a 2D plane or 3D space using coordinates, which are ordered pairs of points. You may have observed the use of grids in mathematics.

Select a point on the graph according to the given coordinates. Connect all the points on the graph using a line segment. The shape formed by joining all the points together is knows as a trapezoid.

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So on solving the provided question, we can say that  y= |x| makes a starlight line, this equation is a linear function.

Two distinct but related concepts are referred to as linear functions in mathematics. A polynomial function of degree 0 or 1 is a linear function in calculus and related subjects if its graph is a straight line. Any function that depicts a straight line on a coordinate plane is said to be linear. For instance, y = 3x - 2 is a linear function since it depicts a straight line on the coordinate plane. f(x) = 3x - 2 can be used to represent the function since f(x) can be linked to y.

equation represents a linear function is that polynomial function of degree 0 or 1 is a linear function in calculus and related subjects if its graph is a straight line.

so, here  y= |x| makes a starlight line, this equation is a linear function.

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The answer for y + 6 = -2 (x + 1) the equation in the general form is y - 2x = -8.

What is equation?

Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.

The equation is represented in the general form Ax+By=C.

The given equation is -

y + 6 = -2 (x + 1)

Simplify further -

y + 6 = -2 (x + 1)

y + 6 = -2x -2

y - 2x = -2 - 6

y - 2x = -8

Therefore, the equation is y - 2x = -8.

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Solving the provided question, we cans say that by quadratic equation, the age where a person's systolic pressure is 127.54 mm Hg is 46

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared.

systolic pressure for a person of age 45 years, just plug in y = 45:

systolic pressure is 127.54 mm Hg, plug in P = 127.54

P = 0.004y2 - 0.02y + 120

127.54 = 0.004y2 - 0.02y + 120

0 = 0.004y2 - 0.02y - 7.54

Use the quadratic formula to solve this. The quadratic formula (for ay2 + by + c = 0) is:

y = [-b ± √(b2 - 4ac)]/(2a)

In this case a = 0.004, b = - 0.02 and c = - 7.54 so:

[tex]y = [-b + \sqrt{(b2 - 4ac)]/(2a)}\\y = [-(-0.02) +\sqrt{((0.02)2 - 4(0.004)(-7.54))]/(2(0.004))}\\y = [0.02 + \sqrt{(0.0004 + 0.12064)]/0.008}\\y = [0.02 + \sqrt{0.12104]/0.008}\\y = [0.02+ 0.3479]/0.008\\ y = [0.02 + 0.3479]/0.008 or y = 0.3679/0.008 = 45.989\\ y = [0.02 - 0.3479]/0.008 or y = -0.3279/0.008 = -40.989\\[/tex]

Since -40.988 makes no sense (40.989 years before birth), we throw that answer out.

The age where a person's systolic pressure is 127.54 mm Hg is 46

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(a) the value of a material weighing 5 kg is 31.25

(b)the value of a material weighing 50 kg is 3125

(c) the weight of a material worth 720 is 24 kg

Variation is a relation between a set of values of one variable and a set of values of other variables

If the value Q of a material is directly proportional to the square of its weight W. We can write:

Q α W²

Q = kW²   (where k is constant of proportionality)

If a material weighing 20 kg is worth 500, we have:

Q = kW²

500 = k × 20²

500 = 400k

k = 500/400

k = 5/4

k = 1.25

(a)the value of a material weighing 5 kg

Q = kW²

Q = 1.25 × 5² = 31.25

(b)the value of a material weighing 50 kg

Q = kW²

Q = 1.25 × 50² = 3125

(c)the weight of a material worth 720

Q = kW²

720 = 1.25 × W²

W² = 720/1.25

W² = 576

W = √576

W = 24 kg

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