Use the diagram below to find mPRQ.
a. 226°
b. 67°
c. 113°

Answer:

C.

C(0, 3), D(3, 0)

Step-by-step explanation:

I just finished the tutorial and the quiz, this is your answer. I hope this helps!

Answer:

all the  fractions that are equivalent to 2/5 are 4/10, 6/15, 8/20

Step-by-step explanation:

this is all I can rember

Answer:

11

Step-by-step explanation:

-2 • f(-6) -7 • g(-7) = ?

As per graph:

f(-6) = 5

g(-7) = -3

Calculation:

-2 • f(-6) -7 • g(-7) =

-2(5) - 7(-3) =

-10 + 21 =

11

Answer:

We know sum of all sides of quadrilateral is 360°

using the same concept,

110 + 70 + 110 + x = 360

290 + x = 360

x = 70°

now x is 70 , therefore quadrilateral is parallelogram since parallelogram has equal opposite angles..

Answer:

x = 70

parallelogram

Step-by-step explanation:

x is equal to 70 because the opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. \

Classify the quadrilateral:

parallelogram

It is a parallelogram because it has two pairs of parallel sides.

Answer:

18

Step-by-step explanation:

3 × 3/5 = 9/5

9/5 = x/10

x = (9 × 10) ÷ 5

x = 18

Step-by-step explanation:

I hope she is your correct answer

Answer:

Step-by-step explanation:

Sum of cubes is a^3+b^3=(a+b)(a^2-ab+b^2)

64x^3+1

(4x+1)(16x^2-4x+1)

Answer:

it would take him a minute to complete 4 problems

Answer:

4 problems per minute.

Step-by-step explanation:

Divide 24 by 6 and you would get 4.

Check: 6 x 4 = 24

6, 12, 18, 24

Hope this helps!

~Jerc~

Answer:9/10ths

Step-by-step explanation:

First, convert the 4 and 1/2 tons of gravel to a fraction

You get 9/2

Multiply 9/2 by 1/5 to get your answer

You get 9/10ths of a ton of gravel

The given graph can be expressed as an equation of f(x) = tan(-x) - 2.

What is a graph of a trigonometric function?

In these trigonometry graphs, the x-axis values of the angles are in radians, and the y-axis value of the function at each given angle is taken as f(x).

The given graph is of a negative angle of a tangent.

So if we draw the graph of the tangent of a negative angle, the graph will pass through the origin, but

If we subtract 2 from the graph of the tangent of the negative angle then we will get the same graph as shown in the given figure.

So the equation would be f(x) = tan(-x) - 2.

Hence, the equation of the graph will be f(x) = tan(-x) - 2.

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Answer:

See below for proof

Step-by-step explanation:

\(\displaystyle y=x^3-kx^2+1\\\\\frac{dy}{dx}=3x^2-2kx\\\\6=3(2)^2-2k(2)\\\\6=3(4)-4k\\\\6=12-4k\\\\-6=-4k\\\\1.5=k\)

Answer:

29.5

Step-by-step explanation:

First, you find the area of a 7 by 5 rectangle.

Then you subtract the two triangles that are the access pieces.

Answer:

a

Step-by-step explanation:

General equation of a circle : \((x-h)^2+(y-k)^2=r^2\)

where (h,k) is at center and r = radius

Here, we want to find the equation of a circle with a given center at (3,4) and a given radius of 6

This is very simple, all we have to do is assign variables and then plug in the values of the variables into the general equation of a circle

First lets assign variables.

(h,k) is center and the circle has a given center at (3,4)

so (h,k) = (3,4) thus, h = 3 and k = 4

r = radius and the circle has a given radius of 6 so r = 6

now we plug this into the general equation of a circle.

recall equation : (x-h)² + (y-k)² = r²

h = 3, k = 4 and r = 6

plug in values

(x-3)² + (y-4)² = 6²

simplify exponent

(x-3)² + (y-4)² = 36

and we are done!

The answer is A

The lateral surface area of the triangular prism with side lengths of the base of a triangular prism are 5 meters, 8 meters, and 10 meters the height of the prism is 16.5 meters is 379.5 m²

Lateral surface area of prism = (a + b + c )h

a =  base side = 5m

b = base side = 8m

c = base side = 10m

h = height = 16.5 m

Lateral surface area of prism = (5 + 8 + 10)16.5

The lateral surface area of the prism = 379.5m²

The lateral surface area of the triangular prism is 379.5 m²

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The percentage of people living on boat in Florida is 15.4%. The equivalent of this percentage to decimal is 0.154 and to fraction is 77/500.

55% live in a house, 25% live in an apartment, 4.6% in condo while the rest live on a boat. If all the percentages are summed up, they must be equal to 100%.

Let a% equals to the percentage of adult living on boat

55+25+4.6+a = 100

84.6 + a = 100

Collect like terms

a = 100 - 84.6

a = 15.4%

Therefore, the percentage of adult living on boat is 15.4%

To convert the percentage to decimal equivalence, one must divide it by 100%

15.4%/100%

= 15.4/100

= 0.154

To convert the percentage to fraction equivalence, one have to divide it by 100%

15.4%/100%

= 15.4/100

One has to make both the numerator and denominator of the fraction whole numbers, to do that one has to shift the decimal place behind the last digit, for a number without decimal point a 0 is added to the back of the number.

= 154/1000

Reducing the fraction to its lowest term, this is done by diving the numerator and denominator by a common factor

= 77/500

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The distance and time are not proportional and it is not uniform speed or velocity

When an object travels an equal amount of distance in an equal amount of time then it is moving with a uniform speed. It is a scalar quantity. Its unit is m s - 1 . For example, a truck moving on a highway covers equal distances in equal time intervals regardless of the direction of motion of the truck.

In the table above,

The interval of time between 6 and 8 is 2 and the

interval of time between 8and 12 is 4. Though the interval in time are equal but the distances are not equal. This means that the speed between 8 and 12 is higher to the speed it uses between 6 and 8

speed = distance/time

= 2/5 = 0.4km/min

speed = distance/time

= 4/5 = 0.8km/min

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Answer:

22 to 8

Step-by-step explanation:

purple beads-> 22

pink beads-> 8

ratio of purple beads to pink beads-> 22:8

The question asks which combined solid the person selected to make their own models. Without additional context or information, it is difficult to provide a specific answer.

Platonic solids are regular, convex polyhedra that have identical faces and vertices. There are five Platonic solids: tetrahedron, cube, octahedron, dodecahedron, and icosahedron. A combined solid is formed by joining two or more Platonic solids together. Some common combined solids that can be made from Platonic solids include:

Cuboctahedron: This is a combination of a cube and an octahedron. It has 8 triangular faces and 6 square faces.

Icosidodecahedron: This is a combination of an icosahedron and a dodecahedron. It has 20 triangular faces and 12 pentagonal faces.

Rhombicuboctahedron: This is a combination of a cube and an octahedron, with each face being a rhombus. It has 8 triangular faces and 18 square faces.

Truncated octahedron: This is formed by truncating the corners of an octahedron. It has 8 hexagonal faces and 6 square faces.

Without additional context or information about the person's preferences or intended use for the models, it is impossible to determine which combined solid they selected.

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The function f with its inverse function \(f^{-1}\) is equal to the identity function. The value of \(f^{-1}(4)f\) is equal to 4.

To determine the value of \(f^{-1}\)(4)f−1(4)f, we would need to know the function f and its inverse function \(f^{-1}\).

In this case, we are asked to find \(f^{-1}\)(4)f−1(4)f, start superscript minus 1, end superscript, left parenthesis 4, right parenthesis. This means we need to find \(f^{-1}(4)\) and then plug that value into the original function f.

Now, \(f(f^{-1}(4))\) can be simplified as follows:

\(f(f^{-1}(4)) = 4\)

This is because \(f^{-1}(4)\) is the input that produces an output of 4, and then f is applied to that input to produce the same output.

Multiplying \(f^{-1}(4)\) by f is equivalent to evaluating the function f at the point \(f^{-1}(4)\). Thus, we have:

\(f(f^{-1}(4)) = 4\)

This means that the composition of the function f with its inverse function \(f^{-1}\) is equal to the identity function. Therefore, the value of \(f^{-1}(4)f\) is equal to 4.

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Answer:

the leading coefficent is 16 or 16n (leading term)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Gl on your finals

The vertex angle of an isosceles triangle is not equal to the base angles of the isosceles triangle.

Given, an isosceles triangle

and we are asked that is vertex angle congruent to the base angles,

Let suppose ABC is an isosceles triangle with AB = AC

as we know that the angles opposite to the equal sides are also equal.

so, ∠ABC = ∠ACB

now, if ∠ABC = ∠ACB = x

then, on using angle sum property, we get

∠ABC + ∠ACB + ∠BAC = 180°

x + x + ∠BAC = 180°

∠BAC = 180° - 2x

as, x ≠ 180° - 2x

therefore, ∠BAC ≠ ∠ABC

So, the vertex angle of an isosceles triangle is not equal to the base angles of the isosceles triangle.

Hence, the vertex angle of an isosceles triangle is not equal to the base angles of the isosceles triangle.

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Answer:

5

Step-by-step explanation:

30/6=5

Answer:

B

Step-by-step Explanation

B is true

For a 95% confidence interval, number of blocks that must be sampled is 139, and for a 99% confidence interval, number of blocks that must be sampled is 238.

We will use the formula for the sample size in a confidence interval estimation:
n = (Z * σ / E)²

Where n is the sample size, Z is the Z-score corresponding to the desired confidence level, σ is the standard deviation, and E is the margin of error.

a. For a 95% confidence interval, the Z-score is 1.96. The standard deviation is 0.6 kg, and the margin of error is ±0.1 kg. Plugging these values into the formula:

n = (1.96 * 0.6 / 0.1)²
n ≈ 138.3

Since we need to round up the final answer to the nearest integer, the number of blocks that must be sampled for a 95% confidence interval is 139.

b. For a 99% confidence interval, the Z-score is 2.576. Using the same formula with this new Z-score:

n = (2.576 * 0.6 / 0.1)²
n ≈ 237.8

Again, rounding up the final answer to the nearest integer, the number of blocks that must be sampled for a 99% confidence interval is 238.

In summary, for a 95% confidence interval, 139 blocks must be sampled, and for a 99% confidence interval, 238 blocks must be sampled.

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The specified value of n for trapezoidal rule, the midpoint rule, and simpson's rule is 10.36 , 10.72 and 10.52.

Trapezoidal Rule: In Calculus, “Trapezoidal Rule” is one of the important integration rules. The name trapezoidal is because when the area under the curve is evaluated, then the total area is divided into small trapezoids instead of rectangles. This rule is used for approximating the definite integrals where it uses the linear approximations of the functions.

The trapezoidal rule is mostly used in the numerical analysis process. To evaluate the definite integrals, we can also use Riemann Sums, where we use small rectangles to evaluate the area under the curve.

Midpoint rule : In mathematics, the midpoint rule, also known as the midpoint Riemann sum or midpoint method, is a method of estimating the integral of a function or the area under a curve by dividing the area into rectangles of equal width. The midpoint rule formula is. The midpoint method formula works by summing the areas of each of the rectangles to produce an estimate for the area under a curve.

Simpson's Rule: Simpson's rule is used to find the value of a definite integral (that is of the form b∫ₐ f(x) dx) by approximating the area under the graph of the function f(x). While using the Riemann sum, we calculate the area under a curve (a definite integral) by dividing the area under the curve into rectangles whereas while using Simpson's rule, we evaluate the area under a curve is by dividing the total area into parabolas. Simpson's rule is also known as Simpson's 1/3 rule (which is pronounced as Simpson's one-third rule).

Now,

a=1,b=4,Δx =(b-a)/n =3/6 =1/2

f(x)=4√(ln(x))

trapezoidal rule:

∫4√(ln(x)) dx =(Δx /2)[f(1)+2*[f(1.5)+f(2)+f(2.5)+f(3)+f(3.5)]+f(4)]

∫4√(ln(x)) dx =((1/2) /2)[4√(ln(1))  +2*[4√(ln(1.5)) +4√(ln(2)) +4√(ln(2.5)) +4√(ln(3)) +4√(ln(3.5))] +4√(ln(4))]

∫4√(ln(x)) dx =10.365336

midpoint rule :

∫4√(ln(x)) dx =(Δx)[f(1.25)+f(1.75)+f(2.25)+f(2.75)+f(3.25)+f(3.75)]]

∫4√(ln(x)) dx =(1/2)[4√(ln(1.25))  +4√(ln(1.75)) +4√(ln(2.25)) +4√(ln(2.75)) +4√(ln(3.25)) +4√(ln(3.75)) ]

∫4√(ln(x)) dx =10.724182

simpsons rule:

∫4√(ln(x)) dx =(Δx /3)[f(1)+4*f(1.5)+ 2*f(2)+ 4*f(2.5)+  2*f(3)+  4*f(3.5)]+f(4)]

∫4√(ln(x)) dx =((1/2) /3)[4√(ln(1))  +4*4√(ln(1.5)) +  2*4√(ln(2))  +4*4√(ln(2.5))  +2*4√(ln(3)) + 4*4√(ln(3.5)) +4√(ln(4))]

∫4√(ln(x)) dx =10.527905

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The slope of the equation is m that is derivative of the given function if you take the graph of ln (K) and 1/T. I t makes intercept at ln[A] and the slope is given by m= -Ea/R that means option D is correct.

For many physical and chemical reactions, the relationship between reaction rate and temperature is described by the Arrhenius equation.

Based on hydrolysis S2 peak data measured at multiple heating rates and burial histories occurring over geological time scales, Arrhenius-equation first-order reactions are useful for modelling the timing and temperatures of petroleum generation from organic-rich shakes and oestrogens at laboratory scales.

The slope of the equation is m that is derivative of the given function if you take the graph of ln (K) and 1/T. I t makes intercept at ln[A] and the slope is given by m= -Ea/R that means option D is correct.

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Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).