For the parametric system x=t2−3 and y=2−t where 0≤t≤4 the point (0, -3)lies between the initial and terminal pointis the terminal pointis not on the graph of the systemis the initial point

Answer:

middle east/north Africa 23

x + 30 = 2x (since angleA = angle D, due to congruency between the two triangles.)

30 = 2x - x

30 = x

hope it helps...!!!

Answer:

Shore

Step-by-step explanation:

Thanks <3

The measure of the angles for the similar triangles are ∠G = 105°; ∠H = 55° and ∠I = 20°

Two triangles are said to be similar if the ration of their corresponding sides are in the same proportion. Also, all their corresponding angles are congruent with each other.

From the diagram shown:

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

20 + 105 + ∠Z = 180

∠Z = 55°

Since triangle XYZ and triangle GHI are similar, hence:

∠X = ∠G = 105°; ∠Z = ∠H = 55° and ∠Y = ∠I = 20°

The measure of the angles are ∠G = 105°; ∠H = 55° and ∠I = 20°

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There were approximately 6056 no votes.

Let's assume the number of yes votes is represented by the variable "5x," where x is a positive constant.

Similarly, the number of no votes can be represented by "8x" since the ratio of yes votes to no votes is 5 to 8.

The total number of votes is given as 9854, so we can set up the following equation:

\(5x + 8x = 9854\)

Combining like terms, we have:

\(13x = 9854\)

To solve for x, we divide both sides of the equation by 13:

\(x = \frac{9854 }{13}\)

\(x \approx 757.23\)

Since x represents a positive constant, we round it to the nearest whole number, giving us x = 757.

Now, we can find the number of no votes by multiplying x by the ratio of no votes:

No votes \(= 8x\)

\(= 8 \times 757\)

\(= 6056\)

Therefore, there were approximately 6056 no votes.

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The y-intercept for the equation is (0, -2). So option C is correct.

When a line crosses the x-axis, or the location where y=0, this point is known as the x-intercept of the line. Setting y=0 in the equation of the line will allow you to find the x-intercept of the line. Typically, the x-intercept is shown as (a,0), where a represents the point's x-coordinate.

The point where a line crosses the y-axis, or where the value of x equals 0, is known as the y-intercept. By setting x=0 in the line's equation and calculating y, you can determine the y-intercept of a line. Typically, the y-intercept is shown as (0,b), where b is the point's y-coordinate.

Given that,

A line,

-2x + 5y = -10

y-intercept = ?

-2 x 0 + 5y = -10

5y = -10

y = -10/5

y = -2

Hence, the  y-intercept is (0, -2)

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The correct option is A) Vertex = (–3,4), y-intercept = (0,–5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = –3.

A quadratic function is a type of polynomial function with a degree of two, represented by a parabolic curve when graphed, and can have a maximum or minimum point known as the vertex.

To determine the correct option, we need to compare each feature given in the options with the graph. Here are the steps:

Step 1: Identify the vertex of the graph.

From the graph, we can see that the vertex is located at (–3,4).

Step 2: Identify the y-intercept.

From the graph, we can see that the y-intercept is located at (0,–5).

Step 3: Identify the x-intercepts.

From the graph, we can see that there are two x-intercepts located at (1,0) and (5,0).

Step 4: Identify the axis of symmetry.

The axis of symmetry is the vertical line that passes through the vertex and divides the parabola into two symmetric halves. From the graph, we can see that the axis of symmetry is the vertical line x = –3.

Comparing the features given in the options with the graph, we can see that option A matches all the features correctly.

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Answer:

Step-by-step explanation:

Given that 79 balcony and 27 general admission tickets sell for $5550, and 79 balcony and 36 general admission tickets sell for $5820, you want the cost of each kind of ticket.

The equations representing the sales are ...

  79b +27g = 5550

  79b +36g = 5820

Subtracting the first equation from the second, we have ...

  (79b +36g) -(79b +27g) = (5820) -(5550)

  9g = 270 . . . . . . . . . simplify

  g = 30 . . . . . . . divide by 9

  79b +27(30) = 5550 . . . . . . substitute into the first equation

  79b = 4740 . . . . . . . . . . subtract 810 & simplify

  b = 60 . . . . . . . divide by 79

A balcony seat ticket costs $60; a general admission floor ticket costs $30.

The expression arcctg(tg(x)) simplifies to arcctg(tan(x)).

To simplify the expression arcctg(tg(x)), we can apply trigonometric identities and properties.

The function arcctg(x) is the inverse cotangent function, which is the angle whose cotangent is x. Similarly, tg(x) represents the tangent function.

First, let's simplify the expression inside the arcctg function, which is tg(x):

tg(x) = sin(x) / cos(x)

Now, we can substitute this value into the original expression:

arcctg(tg(x)) = arcctg(sin(x) / cos(x))

Using the property of inverse trigonometric functions, we can rewrite this as:

arcctg(sin(x) / cos(x)) = arcctg(1 / tan(x))

Now, we can simplify further using the identity:

1 / tan(x) = cot(x)

Therefore:

arcctg(1 / tan(x)) = arcctg(cot(x))

Using another identity, we know that the cotangent function is the reciprocal of the tangent function:

cot(x) = 1 / tan(x)

Therefore, we can simplify the expression to:

arcctg(cot(x)) = arcctg(1 / tan(x)) = arcctg(tan(x))

Finally, we arrive at the simplified expression:

arcctg(tg(x)) = arcctg(tan(x))

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Answer:

Step-by-step explanation:

A

Answer:

   Y = 2.843+ 0.037 X

Step-by-step explanation:

Let the equation of the straight line to be fitted to the data , be Y = a+b X where a and b are to be evaluated. The normal equations fro determining a and b are

∑Y = na +b ∑X

∑XY = a∑X + b∑X²

We now calculate ∑X, ∑Y , ∑X², and ∑XY

X                Y                XY              X²

5                  4                 20            25

7                  3              21                49

6                  2                 12            36

2                  5                 10             4

1                    1                1                 1          

21                 15                 64           115  

Thus the normal equation becomes

                                                 5a + 21b =15

                                                21a +115b = 64

Solving these two equations simultaneously we get

                                                105 a + 441b = 315

                                                105a + 575b = 320

                                                            134b= 5

b= 0.037 , a= 2.843

Hence the equation for the required straight line is

                    Y = 2.843+ 0.037 X

Answer:

Step-by-step explanation:

THE ANSWER IS 10

Answer:

1111 is the answer to your question.

If wheel on a scooter completes 124 revolutions and travels 22.4 meters then  diameter of the wheel is 57 mm

Each revolution of the wheel covers a distance equal to the circumference of the wheel.

The diameter of the wheel "d".

The distance covered in 124 revolutions is:

distance = 124 x circumference

= 124 x pi x d

= 124 x 3.14 x d

We know that this distance is equal to 22.4 meters, so we can set up an equation:

124 x 3.14 x d = 22.4

Simplifying and solving for d:

d = 22.4 / (124 x 3.14)

d = 0.057 meters

As we know that 1 meter is equal to thousand millimeters so multiply by 1000 to get in millimeters

d = 57 millimeters

Therefore, the diameter of the wheel is approximately 57 mm.

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Divisor is an integer, not equal to zero.

A divisor is a number that divides another number either outright or with a remainder. The divisor is represented in the division formula as follows:

Dividend ÷ divisor = quotient.

A divisor is any number that divides another number.

A factor is a divisor but all divisors are not factors.

Given expression,

33 + 63 - 222 - 4

= 96 - -226

= - 130

The dividend is an integer, divisor can be any integer except 0.

Hence, divisor can be any integer except 0.

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Answer:

unlikely as there are more girls but there could be 1 boy and girl as this is probability

Step-by-step explanation:

The Surface area of Triangular Prism is 132 cm².

We have have the dimension of prism as

Sides = 3 cm, 4 cm, 5 cm

and, l = 10 cm

and, b= 4 cm

Now, Surface area of Triangular Prism as

= (sum of sides) l + bh

= (3 + 4 + 5)10 + 4 x 3

= 12 x 10 + 12

= 120 + 12

= 132 cm²

Thus, the Surface area of Triangular Prism is 132 cm².

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Answer:

4:5:1

Step-by-step explanation:

so first of all the ratio will be 140:70:35 but after we simplify it with 35 we'll get the final simplified ratio which is 4:5:1

Answer:

She has 12 oranges left

Step-by-step explanation:

convert 3/5 to a decimal

3÷5=0.6

then multiply that by 20

0.6*20=12

After answering the given query, we can state that The expression for the difference between a number s and -6 is: s - (-6) or s + 6

In numbers, you can multiply, split, add, or take away. The following is how a phrase is made together: Numeric number, expression, and arithmetic operator The elements of a mathematical expression are integers, factors, and functions.   It is feasible to use contrasting words and terms. Any mathematical declaration containing variables, integers, and a mathematical action between them is known as an expression, also known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the provided equation, which are all separated by the mathematical symbol +.

The expression for the difference between a number s and -6 is:

s - (-6)

or

s + 6

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Answer:

The most appropriate  value of the critical value is 2.289.

Step-by-step explanation:

We are given that a researcher takes a random sample of 41 bulbs and determines  that the mean consumption is 1.3 watts per hour with a standard deviation of 0.7.

We have to find that when constructing a 97% confidence interval, which would be the most appropriate  value of the critical value.

Firstly, as we know that the test statistics that would be used here is t-test statistics because we don't know about the population standard deviation.

So, for finding the critical value we will look for t table at (41 - 1 = 40) degrees of freedom at the level of significance will be \(\frac{1 - 0.97}{2} = 0.015\) .

Now, as we can see that in the t table the critical values for P = 1.5% are not given, so we will interpolate between P = 2.5% and P = 1%, i.e;

     \(\frac{0.015 - 0.025}{0.025-0.01}= \frac{\text{Critcal value}-2.021}{2.021-2.423}\)

So, the critical value at a 1.5% significance level is 2.289.

Answer:a or possibly c

Step-by-step explanation:

Answer: D. The experimental probability is greater than the theoretical probability.

Step-by-step explanation:

Experimental Probability

Sam rolled a 6 39/75 times

39/72 = 0.52 probability

Theoretical Probability

The likelihood of rolling a 6, in general, is 1/6, as a die has 6 sides, and a 6 is found on one of the six sides.

1/6 = 0.167 probability

52% experimental > 16.7% probability, thus the answer would be D.

Answer:60 inches squared

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

bc i got it right on edg test/ exam 2021

Answer:

I wish I knew that answer

Step-by-step explanation:

volume of sphere is 4.8 times the volume of cone (1).

A). Options (C) and (E) is correct.

B). 4.8 times

To choose the figure.

The act of measuring geometry applied to the computation of lengths, areas, or volumes from given dimensions or angles.

Given that:

Part A

Volume of cylinder (1) = πr²h

                                   = π*(6)²*(5)

                                   = 565.5 cubic inches

Volume of cone (1)=π*r²*h/3

                             =π*6²*5/3

                             = 188.5 cubic inches

Volume of sphere =4π*r²*r/3

                               =4π*6²*6/3

                                = 904.8 cubic inches

Figure having volume greater than 600 cubic inches are cylinder (2) and sphere.

Part (B)

Volume of sphere/Volume of cone (1)=904.8/188.5 =4.8

Therefore, volume of sphere is 4.8 times the volume of cone (1).

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Answer:

6a+12b+18c

Step-by-step explanation:

you distribute it

Answer: 6a+12b+18c

Explanation: you break the parenthesis and multiply 6 with 1, 2, and 3

We have the following:

The first thing is to calculate the equation of each line, we have that the equation in slope form and y-intercept is

where m is the slope and b is the y-intercept, replacing:

1

The line is:

2.

The line is:

3.

The line is:

4.

The line is:

now, all in one diagram

Answer:

Dylan is 10 years old, and Genesis is 11.

Step-by-step explanation:

If Genesis and Dylan's age are consecutive integers, and Genesis is older, we can represent their ages as:

Dylan's age: x

Genesis' age: x+1

This would mean Genesis is a year older than Dylan.

The product of their ages is 110.

We can write an equation:

x×(x+1)=110

x²+x=110 (Distribute x)

x²+x-110=0 (Move 110 to the other side)

You can solve this by the quadratic equation, by factoring or by completing the square

I'll solve it by the quadratic equation:

We must first find the coefficients a, b and c, and then plug it into the formula.

\(x = \frac{ - 1 + - \sqrt{ {1}^{2} - 4 \times 1 \times - 110} }{2 \times 1} \\ x = \frac{ - 1 + - \sqrt{1 + 440} }{2} \\ x = \frac{ - 1 + - 21}{2} \)

Since we have a ± symbol, we get 2 real solutions, x1 and x2.

x=-1±21/2

x1=-1+21/2

x1=20/2

x1=10

x2=-1-21/2

x2=-22/2

x2=-11

Since their age can't be negative, x2 can't be a solution, so Dylan's age must be 10, and Genesis' age must be 11.

Hope this helps, and let me know if you need help with another method to solve this problem!