(−2x−8y)is subtracted from (−3x−7y) in simplest terms.

Angle M′P′O′ must be a straight line with a measure of 180° for the connection to be valid.

Given;

In Parallelogram MNOP, Angle M has a measure of 60°. If this parallelogram is rotated 30° clockwise to form M' N' O' P' which relationship must be true?

A) M'N' ⊥ N'O'

B) M'N' ⊥ O'P'

C) M'N' || N'O'

D)M'N' || O'P'

From above given options,

When Parallelogram MNOP is rotated 30° clockwise to form M′N′O′P′, several changes occur in the shape. Firstly, the position of each vertex shifts, and the shape becomes skewed. However, the length of each side and the measure of each angle remain the same.

Since angle M has a measure of 60° in parallelogram MNOP, its opposite angle P has the same measure. When the shape is rotated, angle M′ has a measure of 30°, which means its opposite angle P′ must also have a measure of 30°. Similarly, angle N′ has a measure of 150°, which means its opposite angle O′ must also have a measure of 150°.

Therefore, the relationship that must be true is that angle M′P′O′ is a straight line, and its measure is equal to 180°. This is because the sum of the measures of the angles in any triangle is always 180°, and angles P′ and O′ are adjacent angles that together make up a straight line.

To learn more about Parallelogram refer to:

brainly.com/question/29147156

#SPJ4

Answer:

yes

Step-by-step explanation:

no

The expression equivalent to the 5ⁿ/2ⁿ will be (5/2)ⁿ , (2/5)⁻ⁿ ,  (2.5)ⁿ , 2⁻ⁿ/5⁻ⁿ.Options A, B, D, and F are correct.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the expression is, 5ⁿ/2ⁿ

The expression can be written in different ways as,

5/2)ⁿ

(2/5)⁻ⁿ

(2.5)ⁿ

2⁻ⁿ/5⁻ⁿ

Thus, the expression equivalent to the 5ⁿ/2ⁿ will be (5/2)ⁿ , (2/5)⁻ⁿ ,  (2.5)ⁿ, 2⁻ⁿ/5⁻ⁿ. Options A, B, D, and F are correct.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ1

Answer:

D. x<=–7

Step-by-step explanation:

An open circle at the end of an interval means that the end point is not included in the interval, i.e. strictly less than or strictly greater than. A closed circle means the end point is included. Also to know is, what does an open circle mean?

The mean number of cloudy days that can be found in Pittsburgh during the month of June is 7 days.

Since about 56% of the days in a year are cloudy, the number of cloudy days will be:

= 56% × 365

= 204 days

Therefore, the mean number of cloudy days during the month of June will be:

= 204/30

= 6.8 = 7 days

The mean number of cloudy days during the month of June will be 7 days.

Learn more about mean on:

https://brainly.com/question/1136789

Answer:

n = -21/11

Step-by-step explanation:

11(n - 1) + 35 = 3

Expand the brackets.

11n - 11 + 35 = 3

Add the terms -11 and 35.

11n + 24 = 3

Subtract 24 on both sides.

11n = 3 - 24

Subtract.

11n = -21

Divide 11 into both sides.

n = -21/11

Answer:

\(n = - \frac{21}{11} \\ \)

Step-by-step explanation:

\(11(n - 1) + 35 = 3 \\ 11n - 11 + 35 = 3 \\ 11n + 24 = 3 \\ 11n = 3 - 24 \\ 11n = - 21 \\ \frac{11n}{11} = \frac{ - 21}{11} \\ n = - \frac{21}{11} \)

Answer:

A

Step-by-step explanation:

Answer:

x≤5p

Step-by-step explanation:

40/8=5 Kaitlin can buy UP TO 5 pounds of candy at $8/pound. So she will buy less than or equal to 5 pounds

The predicted number of runs for the player with 149 hits is roughly 81 runs. The predicted number of runs for the player with 86 hits is roughly 43 runs.

To calculate this, you can use a linear regression equation which is R = (H*b) +a, where R is the predicted number of runs, H is the number of hits, b is the slope of the line, and a is the intercept.

Using the above formula, we can say that:

R= (81*149) - 80*(149)

= 81.

Similarly for 2nd part:

R= (43*86) - 85*43

= 43.

For more similar questions on number:

brainly.com/question/12088221

#SPJ11

A system of equations with one linear equation and one quadratic equation has "zero or one or two" solutions.

Consider a system of equations with one linear equation and one quadratic equation as

Case (1): y = x² + 4x + 2 ...(1)

and x + y = 2 ...(2)

By the substitution method:

from (2), y = 2 - x; Substituting in (1)

⇒ 2 - x = x² + 4x + 2

⇒ x² + 4x + 2 + x - 2 = 0

⇒ x² + 5x = 0

⇒ x(x + 5) = 0

∴ x = 0 and x = -5

If x = 0, then y = 2 - 0 = 2

If x = -5, then y = 2 + 5 = 7

So, the system has two solutions at (0, 2) and (-5, 7).

Case (2): y = x² + 4x + 2 ...(1)

and x - y = 2 ...(2)

By the substitution method:

from (2), y = x - 2; Substituting in (1)

⇒ x - 2 = x² + 4x + 2

⇒ x² + 4x + 2 + 2 - x = 0

⇒ x² + 3x + 4 = 0

we know that b² - 4ac will decide the nature of roots.

So, (3)² - 4(1)(4) = 9 - 16 = -7 < 0

Since the determinant is less than 0, the roots are imaginary. Hence the system has no solution. That means the line and the parabola do not meet.

Case (3): y = x² + 4x + 2 ...(1)

and y = x - 1/4 ...(2)

Substituting (2) in (1), we get

⇒ x - 1/4 = x² + 4x + 2

⇒ x² + 4x + 2 - x + 1/4 = 0

⇒ x² + 3x + 9/4 = 0

⇒ 4x² + 12x + 9 = 0

⇒ (2x + 3)² = 0

⇒ 2x + 3 = 0

∴ x = -3/2

If x = -3/2 then y = -3/4 - 1/4 = -7/4

So, the system has one solution at (-3/2, -7/4).

Therefore, the given type of system has "zero or one or two" solutions.

Learn more about the system of equations here:

brainly.com/question/2376175

#SPJ1

As per the Triangle ABC shown, and the data provided about it's various segments and sides, in the reference attachment attached thereby along with the question statement, ΔDEC is proved to be an equilateral triangle

As per the question statement, we are provided with a reference attachment attached thereby, which contains the structure of a triangle, ΔABC, and some information about the perpendiculars and sides of it, such as (BE ⊥ AD), (AC ⊥ BD), (AC ≅ BE) and (DE ≅ EC).

We are required to prove that, the interior triangle formed, ΔDEC is an equilateral triangle.

Now, considering ΔACD and ΔBED also formed inside ΔABC,

(AC ≅ BE)...[given],

(∠BED = ∠ACD = 90°)...[∵(BE ⊥ AD) and (AC ⊥ BD), given],

And (∠ADC = BDE)...[Common angle]

That is, ΔACD and ΔBED are congruent triangles by Side-Angle-Angle similarity.

Therefore, (DE = DC)...[Since they are corresponding sides of ΔACD and ΔBED and they are congruent to each other, already proved]

Also, since given in question statement that (DE = EC), therefore,          (DE = DC) also.

And since DE, EC and DC form a triangle where (DE = EC = DC), therefore, ΔDEC is proved to be an equilateral triangle.

To learn more about Equilateral Triangles, click on the link below.

https://brainly.com/question/26108076

#SPJ9

Answer:

Second option

Step-by-step explanation:

Check the relationship between the x digits and compare with y digits. It must be the same all through

In the second option x =2y for all the digits

4:2, 7:3.5,8:4,10:5

\(\sf \: Given \: x = - 7\)

\(\sf \: Substitute \: the \: value \: of \: x \: as \: - 7 \: in \: the \: eq.\: \: {x}^{2} + 4x - 5\)

\(\sf \: {x}^{2} + 4x - 5 \\ \sf = ( - 7) ^{2} + 4( - 7) - 5 \\\sf = 49 - 28 - 5 \\ \sf =\underline 1\underline6\)

Answer ⟶ \(\boxed{\bf{16}}\)

The decoder will decode the input combination into a one-hot representation, and the OR gate will combine the outputs to generate the desired function.

In this scenario, we have four inputs and a 4:16 one hot decoder. The one hot decoder will take the four inputs and convert them into a one-hot representation. It will have four input lines and sixteen output lines, with only one output line being active (high) at a time, corresponding to the specific input combination.

To combine the outputs of the decoder and implement the desired function, we would use an OR gate with 16 inputs. The active output lines from the decoder will be connected to the inputs of the OR gate. When the decoder outputs a high signal on a specific line, it will pass through the OR gate, resulting in a high output for that particular input combination.

By selecting an OR gate with 16 inputs, we ensure that all the active lines from the decoder can be connected to the inputs of the OR gate. The OR gate will then generate the desired function output based on the active input combination.

In this way, by utilizing the 4:16 one hot decoder and the OR gate, we can implement a function with four inputs effectively.

Learn more about OR gate here:

https://brainly.com/question/31152943

#SPJ11

A t-shirt company offers four different sizes of shirts: small (S), medium (M), large (L), and extra-large (XL). Additionally, the shirts are available in five different colors: blue, red, white, black, and gray.

A random shirt is selected and a tree diagram is used to depict the sample space. The root of the tree diagram represents the selection of a shirt. There are four possible outcomes: S, M, L, and XL.

Each of these outcomes branches out to the five color choices: blue, red, white, black, and gray. This yields 20 different outcomes. The tree diagram will look like this:To compute the probability of any given outcome, divide the number of favorable outcomes by the total number of outcomes. Since there are 20 total outcomes, the probability of any one outcome is 1/20.

Know more about compute the probability here:

https://brainly.com/question/17137681

#SPJ11

Answer:

1. 1.3

2. 2.12

Step-by-step explanation:

Answer:

1. is 1 3/8

2. is 2 12/16 or 3/4

please mark brainliest

Step-by-step explanation:

Answer:

p<-12/5

Step-by-step explanation:

Answer:

Multiply each term in \(-\frac{5}{6}p > 2\) by \(-\frac{6}{5}\) to eliminate the fractions.

Inequality form:

\(p < \frac{-12}{5}\)

Interval Notation:

(-∞, \(-\frac{12}{5}\) )

Answer:

E

Step-by-step explanation:

Perimeter =5s+5s+2s+2s+0.75+0.75

2 off each implies part E

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

Learn more about Moving average here: https://brainly.com/question/28495879

#SPJ11

Triangle with sides AB = 8cm , CA = 5cm , BC = 7cm and AB = 7cm , BC = 10cm , CA = 8cm can construct a Triangle.

Condition : For forming the triangle, the sum of two sides must be greater than the third side.

a.  AB = 4cm, CA = 3cm, BC = 10cm

   CA+BC=AB

   3+1=4

   4=4

Therefore, it cannot form a triangle because it is not satisfying the condition.

b.  AB = 8cm , CA = 5cm , BC = 7cm

    AB+CA>BC

    AB+BC>CA

    CA+BC>AB

    Therefore, it can form a triangle because it satisfies the condition.

c.  AB = 7cm, BC = 10cm, CA = 8cm

   AB+BC>CA

   AB+CA>BC

   BC+BC>AB

  Therefore, it can form triangle because it satisfies the condition.

Learn more about Triangle construction here:

https://brainly.com/question/10984479

#SPJ4

Answer:

Step-by-step explanation:

m is number of miles

A: 45+0.21m (45 is the initial cost)

B: 28+0.38m (28 is the initial cost)

To know how in many miles the cost will be equal,

45+0.21m=28+0.38m

0.38m-0.21m=45-28

0.17m=17

m=17/0.17 = 100

So, at 100 miles the cost will be same for company A and B.

Answer:

B x =-2 and x = -4

Step-by-step explanation:

A y-intercept is the value at which x = 0.

(4,0) is not a y-intercept because x = 4.

(-1, 1) is not a y-intercept because x = -1.

(0,0) is a y-intercept because x = 0.

(0, -7) is a y-intercept because x = 0.

(-2, 2) is not a y-intercept because x = -2.

(0, -0.25 is a y-intercept because x = 0.

Answer:

here's the answer

Step-by-step explanation:

Answer:

\(x=7.4\) m and \(x=11.2\) m

Step-by-step explanation:

To do these problems, we will need to use the Pythagorean Theorem.

Recall that it states \(a^2+b^2=c^2\), where c is the longest side, the hypotenuse, of the triangle.

a) We have a triangle with side lengths 4.2 m and 6.1 m. These two sides correspond to a and b in this equation.

Now, we can plug these values into the equation and solve for c, which is x.

\((4.2)^2+(6.1)^2=x^2\\\\17.64+37.21=x^2\\\\x=\sqrt{54.85}\\\\x=7.406\\\\x=7.4\)

b) We have a triangle with side lengths 5.1 m and 12.3 m. These sides correspond to a and c, so b will be x.

Now, we can plug these values into the equation and solve for x.

\((5.1)^2+x^2=(12.3)^2\\\\26.01+x^2=151.29\\\\x=\sqrt{151.29-26.01}\\\\x=\sqrt{125.28}\\\\x=11.193\\\\x=11.2\)

Answer:

Step-by-step explanation:

Formula: A squared + B squared = C squared

For the first question:

4.2 squared = 17.64

6.1 squared = 37.21

17.64+37.21 = 54.85

C squared = 54.85

The square root of 54.85 = 7.4

So, x = 7.4 m

For the second question:

5.1 squared = 26.01

12.3 squared = 151.29

26.01 + 151.29 = 177.3

C squared = 177.3

The square root of 177.3 = 13.3

So, x = 13.3 m

Hope this helps!

A distribution in which all the values have the same frequency is called a rectangular distribution. This type of distribution is also known as a uniform distribution ,

because the probability of any given value occurring is equal to every other value in the distribution. Rectangular distributions can be represented graphically by a flat, straight line that runs across the entire range of values, indicating that each value has an equal chance of occurring.

This type of distribution is commonly used in probability and statistics, as well as in financial analysis and risk management. While rectangular distributions are relatively simple and easy to understand, they may not always accurately reflect the true nature of a dataset, particularly if there is a significant amount of variation or outliers.

It is important to note that bimodal and standard distributions have different properties and are not the correct terms for this scenario. Bimodal refers to a distribution with two distinct peaks, while standard distribution typically refers to a normal distribution with a mean of 0 and a standard deviation of 1.

To know more about probability click here

brainly.com/question/15124899

#SPJ11

Answer:

1/2 =0.5

1/2+0i=io+1/2

1/2i=1/2i

1+2i

=1+2i

Step-by-step explanation:

The option 1/2+0i is the correct answer.

"Complex numbers are the numbers that are expressed in the form of a+ib where, a,b are real numbers and 'i' is an imaginary number called iota".

For the given situation,

The real number is 1/2.

The complex number is of the form, a + ib

On setting b = 0, we can write the real number as a complex number.

Thus the real number \(\frac{1}{2}\) becomes as a complex number

\(a+ib=\)  \(\frac{1}{2} + 0i\)

Hence we can conclude that the option 1/2+0i is the correct answer.

Learn more about complex number here

https://brainly.com/question/12375854

#SPJ2

The integral is ∫ x sec x tan x dx. We can solve it using integration by parts xln|sec(x) + tan(x)| - x + C

We have u = x, dv = sec(x)tan(x)dx, du = dx, and v = ln|sec(x) + tan(x)|.

The integral is then

Integrating the second part we get:

xln|sec(x) + tan(x)| - x + C

The integral is ∫ x sec x tan x dx. We can solve it using integration by parts. We let u = x and dv = sec(x)tan(x)dx. Then, du = dx and v = ln|sec(x) + tan(x)|. So, the integral becomes xln|sec(x) + tan(x)| - ∫ ln|sec(x) + tan(x)| dx. We can integrate the second part to get xln|sec(x) + tan(x)| - x + C.

Learn more about integral here

https://brainly.com/question/18125359

#SPJ4