please help I don't know what to do ​

Distance cycled on Monday = p km

Distance cycled of Tuesday

= 8 km less than the distance cycled on Monday

= p km - 8 km

= (p - 8) km

So, distance cycled of Tuesday is (p - 8) km.

Answer:

Step-by-step explanation:

-3x + 1 + 10x = x + 4

      -1                  -1

        7x  = x  + 3  

       -x          -x

        6x = 3

      ÷6      ÷6

         x = 1/2

Using the values provided in the ordered pair, The linear inequality is satisfied by putting the ordered pair values and checking if the statement is true or false.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

When two mathematical statements or two numbers are compared in an unequal way, it is known as an inequality in mathematics. Inequalities can generally be classified as either algebraic or numerical, or as a combination of the two.

ordered pair=(1,2)

linear inequality equation,

\(4x_{1}-x_{2} > 0\)

using value from ordered pair,

\(4*1 - 2 > 0\)

\(2 > 0\)

which is true. That is it satisfies the given linear inequality.

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Answer: Option B

Step-by-step explanation:

By definition, the ratio is a comparison between two different things. It can be written in:

Odd notation

\(a:b\)

Fractional notation

\(\frac{a}{b}\)

Or in words:

\(a\) \(to\) \(b\)

Given the ratio 3 to 4 and the ratio of 4 to 3, you can rewrite them the fractional form:

\(\frac{3}{4}\)

\(\frac{4}{3}\)

To know if these ratios are the same number, divide the numerator by the denominator of each one of them:

\(\frac{3}{4}=0.75\)

\(\frac{4}{3} =1.33\)

Therefore, the ratio of 3 to 4 and the ratio of 4 to 3 ARE NOT the same number.

Answer: (x+1)(x+4) is the solution

Step-by-step explanation:

Use the sum-product pattern

Common factor from the two pairs

Rewrite in factored form

Answer:

(x+1)(x+4)

Step-by-step explanation:

x²+5x+4

x²+4x+x+4

x(x+4)+1(x+4)

(x+1)(x+4)

Dilation and rotation will not produce a congruent triangle

What is rotation ?

The rotation of a point with regard to the origin is described by the rotation formula. To get the position of the point after rotation, apply the rotation formula. Rotation is a circular movement about the specific axis or point of rotation. In general, there are two common directions for rotation: clockwise and anti-clockwise or counter-clockwise.

Rotations, reflections and translations are known as rigid transformations; this means they do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.

Dilation, however, are not rigid transformations, since they change the size of a shape. Dilation would not change the shape, just the size; the angle measures would be the same, and the ratio of corresponding sides would be equal to the scale factor used in the dilation. This would give us a similar, but not congruent, figure.

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Answer:

see explanation

Step-by-step explanation:

On each median the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, or

the distance from the centroid to the midpoint is one third of the median

23

LF = 2 × HL = 2 × 30 = 60

HF = HL + LF = 30 + 60 = 90

24

KL = \(\frac{1}{3}\) KE = \(\frac{1}{3}\) × 15 = 5

LE = 2 × KL = 2 × 5 = 10

25

LJ = \(\frac{1}{2}\) DL = \(\frac{1}{2}\) × 24 = 12

DJ = DL + LJ = 24 + 12 = 36

Answer:

C

Step-by-step explanation:

problems states the explaination

Answer:

D

Step-by-step explanation:

Since we know that (2,3) is on the graph of f, we can conclude that f-1(3) = 2. Therefore, the answer is e) 2.

The graph of an invertible function f passes through the points (1,2), (2,3), and (3,5), and we need to find f-1(3).

If we have a function f and its inverse function f-1,

we can write

f(f-1(x)) = x and

f-1(f(x)) = x for all values of x in the domain of f and f-1.

The given points on the graph of an invertible function f are (1,2), (2,3), and (3,5).

We need to find f −1(3).

Inverse of a function:

If y = f(x) is a function, then its inverse function is given by:

x = {f^{ - 1}}(y).

In other words, f-1(y) is the value of x such that f(x) = y.

We have f(1) = 2, f(2) = 3, and f(3) = 5.

Using these values, we can form the following equation:

f-1(3) = x, where f(x) = 3.

We need to find the value of x.

Since we know that f(2) = 3, we have f-1(3) = 2.

Therefore, the answer is e) 2.

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Answer:

C 30

Step-by-step explanation:

Answer:

C. Circle B and circle H are similar.

Step-by-step explanation:

From Euclidean Geometry we remember that all circles are similar to each other and from Analytical Geometry we know that all circles are characterized by two things: Center and radius. Both circles B and H are known for having a respective radius and center.

In consequence, we conclude that correct answer is C.

Answer:

Step-by-step explanation:

area of rectangle=l*b

=8*15

=120 cm^2

area of rectangle=l*b

96=16*b

96/16=b

6=b

Answer:

1) Pr(all three) = 0.064

2) Pr(none) = 0.216

3) Independent event

Step-by-step explanation:

Let Probability of homes constructed in the Quail Creek area with a security system = Pr (security)

Where Pr = probability

This is a binomial distribution problem. There ate only two outcomes in this distribution: a success and a failure

Where p = success, q = failure

For n trials,

Pr(X = x) = n!/[(n-x)!x!] × p^x × q^(n-x)

Pr (security) = 40% = 0.4

p = 0.4

q = 1-p = 1-0.4 = 0.6

Numbers selected at random = n = 3

See attachment for more details on the workings.

1) Probability all three of the selected homes have a security system = Pr(all three)

Pr(all three) = 1× (0.4)³ (0.6)^0 = 0.4³

= 0.4×0.4×0.4

Pr(all three) = 0.064

2) Probability none of the three selected homes have a security system

= Pr(none)

Pr(none) = 1 × (0.4)^0 × (0.6)³

= 0.6³ = 0.6×0.6×0.6

Pr(none) = 0.216

3) The events were assumed to be independent as the selection of one house doesn't affect the outcome of the selection of another.

Answer: C (The Last One)

Step-by-step explanation:

The answers correct because, If the range and median is 13 that means that the highest and lowest point equal 13 and the middle/the line in the graphs should be on 13. A doesn't have the line/median on 13 so it is not that answer. But B and C have the line/median on the line so we just have to check the range. The range of B is: 9, The range of C is: 13. So based off that we know that the answer is C.

Hope This Helps!

Answer: L=46in

Step-by-step explanation:

Using the formulaP=2(l+w)Solving forll=P2﹣w=1362﹣22=46in

Answer:

1953.125

Step-by-step explanation:

(12.5)³

= 12.5 × 12.5 × 12.5

= 1953.125

Answer: 1953.125

(12.5)³

so 12.5 multiplied to itself thrice

12.5x12.5x12.5

which is 1953.125

The expression provided, 24824 125 d²v/dt SHIN 2 dt, seems to involve differentiation and integration. The notation "d²v/dt" implies taking the second derivative of v with respect to t. It is not possible to provide a meaningful solution.

The expression appears to be a combination of mathematical symbols and notations, but it lacks clear context and proper notation usage. It is important to provide clear instructions, variables, and equations when seeking mathematical solutions. To address the expression correctly, it is necessary to provide the intended meaning and notation used.

Please clarify the notation and provide any additional information or context for the expression, and I would be happy to assist you in solving the problem or providing an explanation based on the given information.

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Answer:

Steps:

1. locate the incenter by constructing the angle bisectors of at least two angles of the triangle.

2. construct a perpendicular from the incenter to one side of the triangle to locate the exact radius.

3. place compass point at the incenter and measure from the center to the point where the perpendicular crosses the side of the triangle (the radius of the circle).

4. draw the circle.

Constructed incenter '\(I_{c}\) 'of the the inscribed circle after bisecting ∠P, ∠Q , ∠R and draw the tangents from incentre to one of the side of the triangle.

"Incenter is defined as the the intersecting point of bisector of all the angles of a triangle."

According to the question

To construct a inscribed circle

Write steps of construction:

Hence, inscribed circle with incenter '\(I_{c}\)' is drawn.

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Right angled triangle is formed by the points (3, 2), (-2, -3) and (2,3).

Let the given points be,

A = (3, 2), B = (-2, -3) and C = (2, 3)

The formula for the distance between two points:

The length of the line segment bridging two points on a plane is known as the distance between the points.

The formula to find the distance between the two points is usually given by \(D = $$\sqrt{\left(X_2-X_1\right)^2+\left(Y_2-Y_1\right)^2}$$\).

Therefore,

A = \((x_{1} , y_{1} )\) = (3, 2), B = \((x_{2} , y_{2} )\) = (-2, -3)

\(& \mathrm{AB}=\sqrt{(3+2)^2+(2+3)^2}=\sqrt{50}=5 \sqrt{2}\)  units

B = \((x_{1} , y_{1} )\) = (-2, -3), C = \((x_{2} , y_{2} )\) = (2, 3)

\(& \mathrm{BC}=\sqrt{(-2-2)^2+(-3-3)^2}=\sqrt{52}=2 \sqrt{13}\)  units

A = \((x_{1} , y_{1} )\) = (3, 2), C = \((x_{2} , y_{2} )\) = (2, 3)

\(& \mathrm{AC}=\sqrt{(3-2)^2+(2-3)^2}=\sqrt{2}\)  units

By using the Pythagorean theorem:

According to Pythagoras's Theorem in a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides.

Now, we can see that,

\(& (2 \sqrt{13})^2=(5 \sqrt{2})^2+(\sqrt{2})^2 \\\)

\(& \mathrm{BC}^2=\mathrm{AB}^2+\mathrm{AC}^2\)

Therefore, the given triangle is a right angled triangle.

Therefore, option(A) s correct.

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What type of triangle do the points (3, 2), (-2, -3) and (2,3) form a triangle? If so, name the type.

A. right triangle

B. equilateral triangle

C. isosceles triangle

D. none of these

Initial-value problem is y' y = t sin t, y(0) = 0. The Laplace transform can be used to solve it. The table of Laplace transforms in Appendix III can be used as needed.

Step 1:Apply the Laplace transform to both sides of the equation.

We get:

L [y' y] = L [t sin t]

Step 2:To make the LHS easy to calculate, we use the product rule of the Laplace transform.

L [y' y] = s

L [y] - y(0) y(0) = 0L [y' y] = s

Y - 0

Step 3:Using the Laplace transform table in Appendix III, we find that:

L [t sin t] = 2 s / (s² + 1)³

Step 4:Substituting these values into the original equation and simplifying, we get:

sY - 0 = 2 s / (s² + 1)³

Solving for Y, we get:

Y = 2 / (s² + 1)³

Step 5:Use partial fraction decomposition to simplify Y into a form that can be easily transformed back to the time domain.

(2 / (s² + 1)³) = (A / (s + i)) + (B / (s - i)) + (C / (s² + 1)) + (D / (s² + 1)²)

Solving for A, B, C, and D, we get:

A = (-1/4i), B = (1/4i), C = 0, D = (1/2i)

Step 6:Combine the four terms in the partial fraction decomposition and simplify.

(2 / (s² + 1)³) = (-1/4i) / (s + i) + (1/4i) / (s - i) + (1/2i) / (s² + 1)² + 0

We now have an expression that can be easily transformed back to the time domain using the Laplace transform table.

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The long run behavior of the function f(x)=5(2)x+1 is that it approaches 1 as x approaches negative infinity and it approaches infinity as x approaches positive infinity.

The long-term behavior of the function f(x)=5(2)x+1 can be discovered by examining how the function behaves as x gets closer to negative and positive infinity.

As x→−[infinity], f(x) = 5(2)^ -∞+1 = 5(0)+1 = 1

As x approaches negative infinity, the value of the function approaches 1.

As x→[infinity], f(x) = 5(2)^ ∞+1 = 5(∞)+1 = ∞

As x approaches positive infinity, the value of the function approaches infinity.

As a result, the function f(x)=5(2)x+1 behaves in the long run in such a way that it approaches 1 as x approaches negative infinity and infinity as x approaches positive infinity.

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V = (1/3) * * r2 * h, where V is the volume, is a mathematical constant roughly equal to 3.14159, r is the radius of the base, and h is the height of the cone, can be used to determine a cone's volume.

We can enter the following values into the formula given a radius of 1.75 feet and a height of 2.1 feet:

V = (1/3) * 3.14159 * (1.75^2) * 2.1

Further streamlining the equation:

V = (1/3) * 3.14159 * 3.0625 * 2.1

(Rounded to the nearest three decimal places) V = 10.824 cubic feet.

As a result, the cone's volume is roughly 10.824 cubic feet.

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The statistical technique used to estimate future values by successive observations of a variable at regular intervals of time that suggest patterns is called trend analysis.

Trend analysis is a statistical technique that helps identify patterns and tendencies in a variable over time. It involves analyzing historical data collected at regular intervals to identify a consistent upward or downward movement in the variable.

By examining the sequential observations of the variable, trend analysis aims to identify the underlying trend or direction in which the variable is moving. This technique is particularly useful when there is a time-dependent relationship in the data, and past observations can provide insights into future values.

Trend analysis typically involves plotting the data points on a time series chart and visually inspecting the pattern. It helps in identifying trends such as upward or downward trends, seasonality, or cyclic patterns. Additionally, mathematical models and statistical methods can be applied to quantify and forecast the future values based on the observed trend.

This statistical technique is widely used in various fields, including finance, economics, marketing, and environmental sciences. It assists in making informed decisions and predictions by understanding the historical behavior of a variable and extrapolating it into the future.

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Answer:

x = 11

Step-by-step explanation:

90-35 = 55

55/5 = 11

The value of M and N from the given expression is -10 and -21 respectively

Sum of functions is the addition of expression. Given the expression below;

M = 5(x + 1) and;

N = (6x - 3)

Take the difference of the expressions

M - N = 10

Substitute

5(x+1) - (6x-2) = 10

Expand the expression to have:

5x + 5 -6x + 2 = 10
5x - 6x + 5 + 2 = 10
-x + 7 = 10
-x = 10 - 7
-x = 3
x = -3

Determine the value of M

M = 5x + 5
M = 5(-3) + 5
M = -15 + 5
M = -10

Determine the value of N

N = 6x - 3
N = 6(-3) - 3
N = -18 - 3
N = -21

Hence the value of M and N from the given expression is -10 and -21 respectively

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Answer:

50.24

Step-by-step explanation:

4^2=16

16*3.14=50.24

Answer its 25.12

Step-by-step explanation:

The evaluated integral is ∫2T10 x sin(x) cos(x) dx = -1/4 × x × cos(2x) + 1/16 ×sin(2x) + C

To evaluate the integral ∫2T10 x sin(x) cos(x) dx, integration by parts. The formula for integration by parts is:

∫u dv = uv - ∫v du

assign the following:

u = x (differentiate to get du)

dv = sin(x) cos(x) dx (integrate to get v)

Differentiating u with respect to x,

du = dx

Integrating dv,

v = ∫sin(x) cos(x) dx

To integrate sin(x) cos(x), the trigonometric identity:

sin(2x) = 2sin(x) cos(x)

Rearranging this identity,

sin(x) cos(x) = 1/2 × sin(2x)

integrate v:

v = ∫sin(x) cos(x) dx = 1/2 × ∫sin(2x) dx = -1/4 × cos(2x)

Using integration by parts, substitute u, du, v, and dv into the formula:

∫2T10 x sin(x) cos(x) dx = uv - ∫v du

= x × (-1/4 × cos(2x)) - ∫(-1/4 × cos(2x)) dx

= -1/4 × x × cos(2x) + 1/8 × ∫cos(2x) dx

= -1/4 × x × cos(2x) + 1/16 × sin(2x) + C

where C is the constant of integration.

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Answer:4

Step-by-step explanation:

H= 2*26/5+8