Match the parametric equations with the correct graph.
x=t cos (t), y=t, z=t sin(t), t ≥ 0

The numbers which have only two factors either 1 and the number itself are called prime numbers.

Prime number is a natural number greater than 1 that is not a product of two smaller natural numbers while a natural number greater than 1 that is not prime is called a composite number

Therefore a prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29

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Reason:

There are 6 sides to the number cube. It gives 6*6*6 = 216 ways to roll three such dice. Only one of those ways has the sequence "1,1,1" that we're after. Therefore, the probability is 1/216.

It roughly approximates to 0.0046296; which is about a 0.46% chance of happening.

This all assumes that each side is equally likely. The answer will be different if the die is loaded in some fashion.

The given drug experiment is an example of observation.

There are three major types of statistical studies :

Given is that a doctor gives 10 patients Drug A and 10 patients Drug B and records the differences.

Giving 10 patients Drug A and 10 patients Drug B and then recording the differences is an example of observation.

Therefore, the given drug experiment is an example of observation.

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The image that shows the graph equivalent to the fraction 1/4 is option A, because only one part of the 4 available is shaded.

To identify the correct graph, we must first identify which fraction we must represent. In this case, the fraction is 1 / 4. To understand this fraction, we must take into account that the top number (1) refers to the number of parts that are shaded and the bottom number (4) refers to the number of total parts. into which the figure is divided.

According to the above, we can infer that it is a figure that is divided into 4 parts, and one of them is shaded. So the correct choice would be option A.

Note: This question is incomplete because there is some information missing. Here is the complete information:

image attached

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The error in the work lies in line 3 where the square root is calculated inaccurately.

The opposite of squaring an integer is finding its square root. The square root of a number can be found by looking for a number that, when squared, yields the original value.

The error is in line 3, line 4 and line 5.

The error in line 3 is inaccurate calculation of the value of square root of 4.

The error in line 4 is a mathematical calculation error.

The error in line 5 is a mathematical calculation error.

The correct answer in Line 3 is:

[tex]6 * 2 *\sqrt{5} -3\sqrt{5}[/tex]

The correct answer in Line 4 is:

[tex]12\sqrt{5} - 3\sqrt{5}[/tex]

The correct answer in Line 5 is:

[tex]9\sqrt{5}[/tex]

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Answer:

theres three possible answers, they either QUACK, HONK, or hum

Step-by-step explanation:

The sum of the given two expressions -7g and 4g+2 is -3g+2.

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown number using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables.

There are mainly 3 types of algebraic expressions which are:

The sum of given expressions , -7g and 4g+2 can be performed as follows:

   -7g + (4g + 2)

=  (-7+4)g + 2

= -3g + 2

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Using the provided quadratic expression and factorizing it, The answer is  x = ± √6.4 or x = ± 2.51 and  x = 1 or x = -2.5 .

An equation is a statement of equality between two expressions. It typically includes numbers and mathematical operations such as addition, subtraction, multiplication, and division. For example, the equation 2x + 3 = 7 is a statement that the value of the expression 2x + 3 is equal to the value of 7. Equations can also include variables, which represent unknown values that can be solved for.

Roots of an equation are the values of the variable that make the equation true. For example, the roots of the equation x^2 + 2x - 3 = 0 are -1 and 3, because (-1)^2 + 2(-1) - 3 = 0 and 3^2 + 2(3) - 3 = 0. In general, finding the roots of an equation can be a difficult task and may require the use of mathematical techniques such as factoring, graphing, or numerical methods. Roots are also known as solutions or zeroes of an equation. They can be found by setting the equation equal to zero and solving for the variable.

(4+5x²-36) = 0 or (2x²+9x-5) = 0

Solving the first factor:

4+5x²-36 = 0

5x²-32 = 0

5x² = 32

x² = 6.4

x = ± √6.4

x = ± 2.51 or -2.51

Solving the second factor:

2x²+9x-5 = 0

x²+4.5x-2.5 = 0

(x-1)(x+2.5) = 0

x = 1 or x = -2.5

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As a result, the graph of the equation y=(x-2)2 in the xy plane has the y-intercept of y = -9.

The number is said to be in its simplest form when divided into its smallest equivalent fraction. What should be done to find the most basic form. Look for common factors in the numerator and denominator. Verify a fractional integer to verify if it qualifies as a prime number. A statement having two collinear and an equal marker in the middle is called an equation in mathematics. The general form of any equation contains the degrees of all the variables in descending order. The conventional form of a linear equation is an x + b = 0. The general form of a linear equation with two variables is an x + b y + c = 0. (or something similar).  An identity holds true regardless of the value given to the variables.

given

Equation as given:

y = 6 (x - 1/2)(x+3)

To identify the equation's graph's y-intercept

Put x = 0 in place of it in the equation.

y = 6 (0 - 1/2)(0+3)

Apply the math operation, then find y.

y = -9

As a result, the graph of the equation y=(x-2)2 in the xy plane has the y-intercept of y = -9.

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The given statement “if the slope of a line is 3, then the slope of a parallel line is 4” is false because parallel lines have equal slopes

From the question, we have the following parameters that can be used in our computation:

Slope of a line = 3

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = 3

This means that the slope is 3

The slopes of parallel lines are equal

This means that the slope of the other line is 3

Hence, the statement is false

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Answer: Yes.

Step-by-step explanation: They are in 1:4::1:4

Hope this helps

Answer:

Step-by-step explanation:

Are The Numbers 16,64,18 and 72 In Proportion​?

16 : 64 = 18 : 72

0.25 = 0.25

or

1/4 = 1/4

so your answer is yes

Answer:

Step-by-step explanation:

33

Answer:

No it is not an exponential function

[tex]9x-5=3x+7[/tex]

Subtract 3x from both sides:

[tex]9x-5-3x=3x+7-3x[/tex]

[tex]6x-5=7[/tex]

Add 5 to both sides:

[tex]6x-5+5=7+5[/tex]

[tex]6x=12[/tex]

Divide both sides by 6:

[tex]\dfrac{6x}{6} =\dfrac{12}{6}[/tex]

[tex]\fbox{x = 2}[/tex]

Answer:

[tex] \sf \: x = 2[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of x.

The equation is,

[tex] \sf \rightarrow \: 9x - 5 = 3x + 7[/tex]

Then the value of x will be,

[tex] \sf \rightarrow \: 9x - 5 = 3x + 7[/tex]

[tex] \sf \rightarrow \: 9x - 3x = 7 + 5[/tex]

[tex] \sf \rightarrow \: 6x = 12[/tex]

[tex] \sf \rightarrow \: x = \frac{12}{6} [/tex]

[tex] \sf \rightarrow \: x = 2[/tex]

Hence, the value of x is 2.

Answer: -2, -3, and -4.

Step-by-step explanation:

The range is all the Y Values the graph uses, and the Y values range from -0.5 to -5.5, making every number in between those included.

Answer:

C, neither.

I've attached a picture of what it looks like when you plot it on a graph. As you can see, it is neither. So the answer is C

Hope this helped :)

Answer:

2x^5+y^12*x^2/3

Step-by-step explanation:

The speed of the carts after collision is  3 m/s.

We have to note that in this case, we would need to apply the principle of the conservation of linear momentum. This implies that the momentum before collision would have to be the same as the momentum after collision.

Then we have;

Momentum before collision = Momentum after collision thus;

(3 * 4) + ( 1 * 0) = (3 + 1) v

Note that the two carts are said to stick together and move with a common speed

Hence;

12 = 4v

v = 12/4

v = 3 m/s

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Step-by-step explanation:

No, Richard's inequality is not correct. In order to determine the correct inequality, we first need to find the total number of books that Richard read in 4th and 5th grade. In 5th grade, he read 9 more books than in 4th grade, so the total number of books he read in 5th grade was 37 + 9 = 46 books. The total number of books he read in 4th and 5th grade is therefore 46 + 37 = 83 books.

Since Richard plans to read at least 12 more books than the total number of books he read in 4th and 5th grade, he needs to read at least 83 + 12 = 95 books in 6th grade. In order to have read at least 180 books in total over 4th, 5th, and 6th grade, his inequality should be b ≥ 180. However, b represents the number of books he plans to read in 6th grade, which means the inequality should be 95 ≥ 180, which is not true. Therefore, Richard's inequality is not correct.

Answer:

The estimated total cost for 20 spinners is $3.2.

Step-by-step explanation:

To find out how much Braulio would pay for 20 spinners, we can first calculate the unit rate (price per spinner), and then use that to estimate the total cost of 20 spinners.

The unit rate is the price of a single item (spinner in this case) divided by the number of items. In this case, the unit rate is:

$5.44 / 34 spinners = $0.16 (approximately)

We can now use this unit rate to estimate the total cost of 20 spinners by multiplying it by the number of spinners:

20 spinners * $0.16/spinner = $3.2

So the estimated total cost for 20 spinners is $3.2.

In this process, we first found out the unit rate i.e how much one spinner costs, which is $0.16. We then multiplied the unit rate with the number of spinners we wanted to buy. By doing this, we were able to estimate the total cost of buying 20 spinners. It's important to note that this is an estimate, as the actual cost may be slightly different due to rounding or other factors. However, the unit rate method provides a useful way to quickly estimate the cost of a purchase when the unit price and quantity are known.

Therefore , the solution of the given problem of algebra comes out to be

60 garden beds in the students plans.

Algebra, a subfield of mathematics, is concerned with symbols and the mathematical operations carried out on them. Because these symbols don't have predetermined values, they are referred to as variables. These symbols are additionally put through a variety of addition, subtraction, multiplication, and division arithmetic operations in order to obtain the values.

Here,

Given: actual flower bed: 18

This represents 30% of all garden beds.

Assume that x is the size of the entire flowerbed.

So, 30% of x= 18

30/100 x = 18

x= 1800/ 30

x= 60

60 garden beds are therefore planned by the students.

Therefore , the solution of the given problem of algebra comes out to be

60 garden beds in the students plans.

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The coordinates of the midpoint of CD with endpoint at C(-7,-2) and D(-3,-5) is E(-5, -3.5)

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

Let (x, y) represent the coordinate of the midpoint E. Point E is the midpoint of CD, hence:

x = [(-7) + (-3)] / 2 = -5

y = [(-2) + (-5)] / 2 = -3.5

Therefore the coordinates of the midpoint of CD with endpoint at C(-7,-2) and D(-3,-5) is E(-5, -3.5)

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search in to find answer

Answer:

10 hrs 35 min

Step-by-step explanation:

ohh yeahh which show tell me in comment lol

btw it would take u total

621 minutes to complete the show

which meaning 10 hrs and 35 min

and if you touch the grass then it would take few hours more

Answer:

3.5 miles per hours

Step-by-step explanation:

7/2 =3.5

Therefore ,the top limit of the normal class of three parts of mean class 10th is therefore 60, and the median class is 40–60.

Simply average a collection of three or more numbers yields the phrase "mean." The median method, which employs the maximum of a group of products, and the arithmetic average approach, which uses the sum of both the series' values, are two ways to determine the mean for just a given set of numbers.

Given:

Grades received:

X   f   fi   xi

0-20,     10  15   150

20-40,  30  18   540

40-60, 50 21   1050

60-80, 70 29 2030

80-100 90 p   90p

Total: 3770 + 90p + 83p

Mean (3770 plus 90 pi)/(83 plus pi) = 53

=> 3770 + 90p = 83 * 53 + 53p

=> 37p = 629

=> p = 17

17 students received scores in the 80–100 range.

f = 29 and modal class 60-80

minimum of modal class 60

=> 60 + 20 * 8/20

=>68

68 is the modal marks value.

=> ∑fixi = 3770 + 90p = 3770 + 90(17) = 5300

=> 100/2 = 50

60 is the maximum median class for 3 phases of class 10 with a median class of 40–60.

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Answer:

53/75

Step-by-step explanation:

15 = 3 × 5

25 = 5²

PPCM = 3 × 5² = 75

75/15 = 5

75/25 = 3

7/15 + 6/25 =

= (7 × 5)/(15 × 5) + (6 × 3)/(5 × 3)

= 35/75 + 18/75

= 53/75

The locations of the points on the number line are:

point 1: 1 step to the right of 0.

point 4: 4 steps to the right of 0.

point -3:  3 steps to the left of 0

A number lines is an horizontal straight line in which the integers are placed in equal intervals.

All positive numbers on the number line are on the right side of zero while the negative numbers are on the left side of zero.

To locate 1: starting from 0, count 1 step to the right.

To locate 4: starting from 0, count 4 steps to the right.

To locate -3: starting from 0, count 3 steps to the left.

Check the attached image to see the points.

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