dr. ellison says that the equation y = -3x 7 has a solution of (2, 13). is dr. ellison right or wrong

A rock that has been significantly reshaped on multiple surfaces by windborne particles and sometimes has a sharp edge is a(n)  ventifact:

A rock refers to the solid portion of the earth crust which contains minerals. There are three types of rocks; The sedimentary rock: They are formed from dead plants, dead animals, sand etc.

The metamorphic rock: They are formed from previously existing rocks. The igneous rock: They are formed from the solidification of the molten magma.

Hence, ventifact are rock  that has been significantly reshaped on multiple surfaces by windborne particles and sometimes has a sharp edge.

Read more on rocks:

https://brainly.com/question/25846908

#SPJ4

Answer:

The answer is letter A

Step-by-step explanation:

Area of a circle in terms of radius:

A circle of radius = 6.996 or 7, or diameter = 13.99 or circumference = 43.96 meters

Area = π · r^2 = 3.14 * 7^2 = 153.86 square meters

Answer:

100.26 squared inches

Step-by-step explanation:

(πr²)/2 + lb + (bh)/2

= 28.26 + 60 + 12

To find the matrix $M$ that performs the transformation sending $a$ to $a',$ $b$ to $b',$ $c$ to $c',$ and $d$ to $d',$ we can set up the following system of equations:

$$
Ma = a' \\
Mb = b' \\
Mc = c' \\
Md = d'
$$

We can rewrite this system as a matrix equation:

$$
\begin{pmatrix}
a_1 & b_1 & c_1 & d_1 \\
a_2 & b_2 & c_2 & d_2 \\
a_3 & b_3 & c_3 & d_3 \\
1 & 1 & 1 & 1
\end{pmatrix}
\begin{pmatrix}
m_{11} & m_{12} & m_{13} & m_{14} \\
m_{21} & m_{22} & m_{23} & m_{24} \\
m_{31} & m_{32} & m_{33} & m_{34} \\
m_{41} & m_{42} & m_{43} & m_{44}
\end{pmatrix}
=
\begin{pmatrix}
a'_1 & b'_1 & c'_1 & d'_1 \\
a'_2 & b'_2 & c'_2 & d'_2 \\
a'_3 & b'_3 & c'_3 & d'_3 \\
1 & 1 & 1 & 1
\end{pmatrix}
$$

We can solve for $M$ by left-multiplying both sides by the inverse of the matrix on the left:

$$
M = \begin{pmatrix}
a'_1 & b'_1 & c'_1 & d'_1 \\
a'_2 & b'_2 & c'_2 & d'_2 \\
a'_3 & b'_3 & c'_3 & d'_3 \\
1 & 1 & 1 & 1
\end{pmatrix}
\begin{pmatrix}
a_1 & b_1 & c_1 & d_1 \\
a_2 & b_2 & c_2 & d_2 \\
a_3 & b_3 & c_3 & d_3 \\
1 & 1 & 1 & 1
\end{pmatrix}^{-1}
$$

So the b$M$ that performs the transformation sending $a$ to $a',$ $b$ to $b',$ $c$ to $c',$ and $d$ to $d'$ is given by this formula.

To know more about "Matrix" refer here:

https://brainly.com/question/31017647#

#SPJ11

Solution

We have the following coordinates given:

a= (4,4)

b= (3, -1)

c= (-2, -2)

Then the other 3 coordinates are:

(1,7) (-4,6) (-5,1)

Since the equation for the line given is : y= x-3

Answer:

8:27 p.m.

Step-by-step explanation:

5:43 + 2:44

~~~

43+44= 87

87-60= 27

~~~

5+2= 7

7+1 (from the subtracted 60)= 8

~~~

8:27 p.m.

Hope this helps! Have a nice day :)

the length of the sections will be 24 and 18 respectively.

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Given, Some pair of lines in that three lines are parallel and two of them are intersecting them.

Since, these are the the section made by two parallel lines. Thus, these given section will be Proportional to each other.

Thus,

20/15 = ( 7x - 11)/(4x - 2)

4/3 = ( 7x - 11)/(4x - 2)

16x - 8 = 21x - 33

5x = 25

x = 5

therefore, the length of the sections will be 24 and 18 respectively.

Learn more about parallel lines here:

https://brainly.com/question/28969931

#SPJ1

The simplified expression is \(21x^2 - 25x - 28\) in the given case.

An expression in mathematics is a combination of numbers, symbols, and operators (such as +, -, x, ÷) that represents a mathematical phrase or idea. Expressions can be simple or complex, and they can contain variables, constants, and functions.

"Expression" generally refers to a combination of numbers, symbols, and/or operations that represents a mathematical, logical, or linguistic relationship or concept. The meaning of an expression depends on the context in which it is used, as well as the specific definitions and rules that apply to the symbols and operations involved. For example, in the expression "2 + 3", the plus sign represents addition and the meaning of the expression is "the sum of 2 and 3", which is equal to 5.

To simplify the expression, first distribute the -3x and (3x + 4) terms:

\(-3x(4 - 5x) + (3x + 4)(2x - 7) = -12x + 15x^2 + (6x^2 - 21x + 8x - 28)\)

Next, combine like terms:

\(-12x + 15x^2 + (6x^2 - 21x + 8x - 28) = 21x^2 - 25x - 28\)

Therefore, the simplified expression is \(21x^2 - 25x - 28.\)

To know more about expression here

https://brainly.com/question/1859113

#SPJ4

9514 1404 393

Answer:

  £59.25

Step-by-step explanation:

The tricky part here is finding the height of the trapezoid shape of the lawn. You will notice the difference in lengths of the parallel edges is 20-12 = 8 meters. This means you can use the Pythagorean theorem to find the missing height, as it is the second leg of a right triangle with one leg 8 and hypotenuse 17.

  h^2 = 17^2 -8^2 = 289 -64 = 225

  h = √225 = 15

So, the lawn's shape is a trapezoid with bases 20 and 12 and height 15. These can go into the area formula ...

  A = 1/2(b1 +b2)h

  A = 1/2(20 +12)(15) = 240 . . . . . . square meters

__

That area is 2.4 times 100 square meters. That means 2.4 cans of weedkiller are all that are needed. If we can only purchase whole cans, then we need to purchase 3 cans of weedkiller, for a cost of ...

  £19.75 × 3 = £59.25

The cost of the cans of weedkiller needed will be £59.25.

Answer:

160 is the answer pls mark me as brainlist

Answer:

3rd model

Step-by-step explanation:

Well 125-35=90 and the 3rd model shows 125-35=90 so the correct answer is the t3rd model

Answer:

2 donuts

Step-by-step explanation:

All we need to do to find the unit price is divide both values.

5.40 / 12 = $0.45 per donut

The question is asking how many donuts you can get for $1 so lets divide again.

1 / 0.45 = 2.22...

We know that the store won't cut the donut so we can only get 2 donates for a dollar. We can laos save the 10 cents we have over for taxes.

Best of Luck!

The study of hypnosis and its relationship to hysteria was the starting point for the development of psychoanalysis by Sigmund Freud.

The study of hypnosis and hysteria in the late 19th century by Sigmund Freud and his contemporaries led to the development of psychoanalysis, a form of psychotherapy that emphasizes the role of unconscious thoughts and feelings in shaping behavior. Through his work with patients suffering from hysteria, Freud became interested in the idea that psychological conflicts could be traced back to early childhood experiences, and that these conflicts could be resolved through the exploration of unconscious thoughts and feelings. This eventually led to the development of psychoanalysis as a theory and practice for the treatment of psychological disorders.

To know more about hypnosis,

https://brainly.com/question/14375336

#SPJ11

2−1⋅22−12−2−1⋅22−12

Step-by-step explanation:

The solution for the system of equations is (21.5, 2).

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, the sum of two numbers is 23.5.

Let the two unknown numbers be x and y.

x+y=23.5 --------(i)

The difference of two numbers is 19.5.

x-y=19.5 --------(ii)

From equation (ii), x=19.5+y

Substitute x=19.5+y in equation (i), we get

19.5+y+y=23.5

2y=4

y=2

Substitute y=2 in equation (i), we get

x-2=19.5

x=21.5

Therefore, the solution for the system of equations is (21.5, 2).

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ1

Answer:

A = Rs 48,000

B = Rs 24,000

C = R2 8,000

Step-by-step explanation:

To solve this problem, create and solve a system of linear equations using the given information.

From the given information:

Therefore, the system of linear equations is:

\(\begin{cases}A=2B\\B=3C\\A+B+C=80000\end{cases}\)

Substitute the second equation into the first to create and equation for A in terms of C:

\(\begin{aligned}A &= 2B\\&=2(3C)\\&=6C\end{aligned}\)

Substitute this and the second equation into the third equation and solve for C:

\(\begin{aligned}A+B+C&=80000\\6C+3C+C&=80000\\10C&=80000\\C&=8000\end{aligned}\)

Now that we have found the monthly income of person C, substitute this value into the expressions for A and B to calculate the monthly incomes of persons A and B:

\(\begin{aligned}A &=6C\\&=6(8000)\\&=48000\end{aligned}\)

\(\begin{aligned}B &=3C\\&=3(8000)\\&=24000\end{aligned}\)

Therefore, the monthly income of each person is:

The method of critical regions is an alternative approach to hypothesis testing, used to validate a claim. This method is based on comparing the observed sample statistic to one or more critical values, predetermined by the desired significance level, that determine the rejection or acceptance of the null hypothesis.

To use this method, the researcher first establishes the critical regions, typically denoted by critical values or cutoff points. A decision to reject or fail to reject the null hypothesis is then made by comparing the observed statistic to the critical values. If the observed value is beyond one or more of the critical values, the null hypothesis is rejected. If the observed statistic falls within the critical regions, the null hypothesis is accepted.

The critical region method is sometimes used instead of the p-value method when the probability of a Type II error is more important than the probability of a Type I error. Additionally, this method can be used to compare multiple population means, whereas the p-value method is limited to comparing one population mean. Therefore, the critical region method can be used in addition to or instead of the p-value method, depending on the researcher's desired result.

Learn more about hypothesis: https://brainly.com/question/606806

#SPJ11

The equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27 is y = 3x + 3.

What is a perpendicular line?

If two geometrical objects overlap at a right angle, they are perpendicular.  It can be defined between two planes, two lines, or two planes and another line.

Here, we have

Given

The point (1, 6) and is perpendicular to the line x + 3y = 27

The slope of the line x + 3y = 27

m = -1/3

The slope of the line perpendicular to the line x + 3y = 27

M = 3

The equation of the line:

y - 6 = 3(x - 1)

y = 3x + 3

Hence, the equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27 is y = 3x + 3.

To learn more about the perpendicular line from the given link

https://brainly.com/question/1202004

#SPJ1

The coefficient of (x - 2)* in the fourth- degree Taylor polynomial for f about x =2 is E) 1/4.

To find the coefficient of (x - 2)* in the fourth-degree Taylor polynomial for the function f(x) = -\((4x+1)^{2}\) about x = 2, we need to compute the fourth-degree Taylor polynomial for f(x) centered at x = 2 and determine the coefficient of (x - 2)* term.

The nth-degree Taylor polynomial for a function f(x) centered at x = a is given by the formula:

Pn(x) = f(a) + f'(a)(x - a) + (f''(a)\((x-a)^{2}\))/2! + (f'''(a)\((x-a)^{3}\)/3! + ... + (f'''n(a)\((x-a)^{n}\))/n!

Let's calculate the fourth-degree Taylor polynomial for f(x) about x = 2:

1st derivative: f'(x) = -2(4x + 1)(4) = -8(4x + 1)

2nd derivative: f''(x) = -8(4) = -32

3rd derivative: f'''(x) = 0 (since the given function has a constant third derivative)

Substituting these derivatives into the Taylor polynomial formula:

P4(x) = f(2) + f'(2)(x - 2) + (f''(2)\((x-2)^{2}\))/2! + (f'''(2)\((x-2)^{3}\))/3! + (\(f^{4}\)(2)\((x-2)^{4}\))/4!

Now, let's evaluate the terms:

f(2) = -\((4(2)+1)^{2}\) = -\((8+1)^{2}\) = -\(9^{2}\) = -81

f'(2) = -8(4(2) + 1) = -8(9) = -72

f''(2) = -32

f'''(2) = 0

f^4(2) = 0 (since the given function has a constant fourth derivative)

Substituting these values into the Taylor polynomial:

P4(x) = -81 - 72(x - 2) - 32(x - 2)^2/2

Simplifying the polynomial:

P4(x) = -81 - 72x + 144 - 16\((x-2)^{2}\)

P4(x) = -81 - 72x + 144 - 16(\(x^{2}\) - 4x + 4)

P4(x) = -81 - 72x + 144 - 16\(x^{2}\) + 64x - 64

P4(x) = -16\(x^{2}\)- 8x - 1

The coefficient of (x - 2)* in the fourth-degree Taylor polynomial is -8.

Therefore, the correct option is E) 1/4.

To learn more about Taylor polynomial here:

https://brainly.com/question/30481013

#SPJ4

Answer:

D

C

Step-by-step explanation:

Answer:

0.5 as a fraction is written as 1/2.

Step-by-step explanation:

Answer:

Multiply the coordinate by the scale factor, 1/5 to get (7/25,-5/20).  You can simplify this to (7/25, -1/4)

Answer: 2/63

Step-by-

Answer:

Hello,There! I'll be glad to help!

what is 4/2/3 x 1/3/7 ?

\(6\frac{2}{21}\)

Step-by-step explanation:

Rewriting our equation with parts separated

\(4 +\frac{2}{3} + 1 +\frac{3}{7}\)

Solving the whole number parts

\(4 + 1 =5\)

Solving the fraction parts

\(\frac{2}{3}+\frac{3}{7} =?\)

Find the LCD of 2/3 and 3/7 and rewrite to solve with the equivalent fractions.

LCD = 21

\(\frac{14}{21} +\frac{9}{21} =\frac{23}{21}\)

Simplifying the fraction part, 23/21,

\(\frac{23}{21} =1\frac{2}{21}\)

Combining the whole and fraction parts

\(5 + 1+ \frac{2}{21} =6\frac{2}{21}\)

Hence, The answer is \(6\frac{2}{21}\)

Considering the volume of the given rectangular prism, the height is of 5.03 feet.

The volume of a rectangular prism of length l, width w and height h is given by:

V = lwh.

In this problem, we have that:

The volume is of 365 cubic feet, hence:

lwh = 365

(2h + 2)(h + 1)h = 365

(2h² + 4h + 2)h - 365 = 0

2h³ + 4h² + 2h - 365 = 0.

Using a cubic equation calculator, the height is of h = 5.03 feet.

More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528

#SPJ1

68,887 is the sum of the sequence (7+21+63...) to the 9th term.

That is, the sequence (as far as we are given) has a common ratio r=3, between successive terms. The initial term  a= 7 and we are interested in the sum to N = 9 terms.

and the sum of the 9th term is

[a^n = a( 1 - r^N)/1 - r ]

=[7 ( 1 - 3^9 )/ 1 - 3 ]

=7 ( 1 - 19683) / -2

= - 137,774 / -2

= 68,887

9th term = 68,887

To know more about the sequence

https://brainly.com/question/21961097

If sample has mean-mass of 2.47 grams and standard-deviation of 0.04 gram, then test-statistic for population mean has (d) a "t-distribution" with 9 degrees-of-freedom.

A "test-statistic" is defined as a value calculated from a sample of data which is used in hypothesis testing.

The test statistic(t) for population mean can be calculated using formula:

⇒ t = (x' - μ)/(s/√n),

where x' = sample mean, μ = population mean, s = sample standard deviation, and n = sample size,

Substituting the values,

We get,

⇒ t = (2.47 - 2.5)/(0.04/√10) ≈ -2.38,

Since the population standard deviation is unknown, we need to use the t-distribution to find the p-value and make a conclusion about the null hypothesis.

The degrees-of-freedom for the t-distribution is = n - 1 = 10 - 1 = 9.

Therefore, the test statistic for the population mean has a t-distribution with 9 degrees of freedom, the correct option is (d).

Learn more about Degree Of Freedom here

https://brainly.com/question/30398137

#SPJ4

The given question is incomplete, the complete question is

The distribution of mass for United States pennies minted since 1982 is approximately normal with mean 2.5 grams. A random sample of 10 pennies minted since 1982 was selected. The sample had a mean mass of 2.47 grams and a standard deviation of 0.04 gram.

The test statistic for the population mean has which of the following distributions?

(a) A normal distribution with mean 0 and standard deviation 1,

(b) A normal distribution with mean 2.5 and standard deviation 0.04,

(c) A normal distribution with mean 2.47 and standard deviation 0.04,

(d) A t-distribution with 9 degrees of freedom,

(e) A t-distribution with 10 degrees of freedom.

Answer: 5

Step-by-step explanation:

Find the prime factorization of both these numbers:

95 = 5 * 19

145 = 5 * 29

The largest common factor is 5

Answer:

8.

Step-by-step explanation:

Using Order of operations PEMDAS.

Arithmetic operations are done in the following order:

Parentheses, Exponents, Multiply, Divide, Add, Subtract.

So, we have:

-18 - 7(-10 + 8) + 12

= -18 - 7 * -2 + 12

= -18 + 14 + 12

= -4 + 12

= 8.

In a 4x3x2x2 factorial experiment, you have 4 independent variables and potentially 4 main effect hypotheses.

The 4 independent variables are represented by the four numbers in the experimental design

(i.e., 4 levels of variable A, 3 levels of variable B, 2 levels of variable C, and 2 levels of variable D).

The potentially 4 main effect hypotheses are one for each independent variable, which states that there is a significant effect of that independent variable on the outcome variable.

A factorial experiment includes multiple factors simultaneously, each consisting of two or more

levels. Many factors simultaneously influence what is studied in a factorial experiment, and

experimenters consider the main effects and interactions between factors.

To know more about Factorial experiment:

https://brainly.com/question/18402941

#SPJ11

The value of x that satisfies the given conditions is 6. Let's solve the problem step by step.

We are given that the apples are shared in the ratios 1:3:x, where x > 3. This means that the total number of parts in the ratio is 1 + 3 + x = 4 + x.

To find the number of apples in each person's share, we divide the total number of apples (60) by the total number of parts in the ratio (4 + x):

Number of apples in each part = Total number of apples / Total number of parts

= 60 / (4 + x)

Now, we are given that the number of apples in Carol's share is 18 more than the number of apples in Betty's share. Therefore, we can set up the equation:

Number of apples in Carol's share = Number of apples in Betty's share + 18

Using the ratios, we can express the number of apples in each person's share:

Number of apples in Betty's share = 3 * (Number of apples in Abbie's share)

Number of apples in Carol's share = x * (Number of apples in Abbie's share)

Substituting these values into the equation, we get:

x * (Number of apples in Abbie's share) = 3 * (Number of apples in Abbie's share) + 18

Simplifying the equation, we have:

x * (60 / (4 + x)) = 3 * (60 / (4 + x)) + 18

To solve for x, we can multiply both sides of the equation by (4 + x) to eliminate the denominators:

x * (4 + x) * (60 / (4 + x)) = 3 * (4 + x) * (60 / (4 + x)) + 18 * (4 + x)

Simplifying further:

60x = 3 * 60 + 18 * (4 + x)

60x = 180 + 72 + 18x

42x = 252

x = 6

Therefore, x = 6.

Learn more about ratios at: brainly.com/question/13419413

#SPJ11