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Answers

Answer 1

Answer:

  x = 42

Step-by-step explanation:

The marked angles are supplementary, so their sum is 180°.

  (2x +8) +(2x +4) = 180

  4x +12 = 180 . . . . . . . . . simplify

  x +3 = 45 . . . . . . . divide by 4 (because we can)

  x = 42 . . . . . . subtract 3

_____

Additional comment

A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and  eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.


Related Questions

Which character from The Owl House there name A luz B amity C gus D eda​

Which character from The Owl House there name A luz B amity C gus D eda

Answers

Answer:

B AMITY

Step-by-step explanation:

Owl House is a very good serial!

Answer:

Straight hair, straight A's straightforward, who is my profile picture?

Step-by-step explanation:

Our lord amity

Supreme Auto Parts produces components for motorcycle engines. It has plants in Amarillo, Texas, and Charlotte, North Carolina, and supply factories in Detroit and Atlanta. Production and cost data for a major component are as follows. Freight Costs Plant Detroit Atlanta Capacity Unit CostAmarillo $15 $9 $1,500 $110Charlotte $7 $5 $3,300 $120Demand 2,100 1,000 Formulate a transportation model to determine the best distribution plan. If the constant is equal to one, enter "1".Let: X11 = number of components produced in Amarillo and supplied to DetroitX12 = number of components produced in Amarillo and supplied to AtlantaX21 = number of components produced in Charlotte and supplied to DetroitX22 = number of components produced in Charlotte and supplied to Atlanta Min X11 + X12 + X21 + X22 Subject to the constraints X11 + X12 -Select-≤≥=Item 7 X21 + X22 -Select-≤≥=Item 11 + X21 -Select-≤≥=Item 15 X12 + X22 -Select-≤≥=Item 19 X11, X12, X21, X22 ≥ 0

Answers

According to the given information the Minimize equation is

Z = 110X11 + 120X12 + 120X21 + 130X22.

What is Statistics ?

Statistics is a branch of mathematics that deals with collecting, analyzing, interpreting, presenting, and organizing data. It provides methods and techniques to make sense of complex data sets, to draw conclusions and make decisions based on the data. Statistics can be applied to a wide range of fields, including business, economics, social sciences, medicine, and many others. Some key topics in statistics include probability theory, hypothesis testing, regression analysis, and data visualization.

Minimize:

Z = 110X11 + 120X12 + 120X21 + 130X22

Subject to:

X11 + X12 ≤ 1500 (capacity constraint for Amarillo)

X21 + X22 ≤ 3300 (capacity constraint for Charlotte)

X11 + X21 ≥ 2100 (demand constraint for Detroit)

X12 + X22 ≥ 1000 (demand constraint for Atlanta)

where:

X11 = number of components produced in Amarillo and supplied to Detroit

X12 = number of components produced in Amarillo and supplied to Atlanta

X21 = number of components produced in Charlotte and supplied to Detroit

X22 = number of components produced in Charlotte and supplied to Atlanta

Therefore, according to the given information the Minimize equation is

Z = 110X11 + 120X12 + 120X21 + 130X22

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What is
4*10^5/4*10^-6=?

Answers

my calculator says 0.1

Make a the subject of the formulae

5c = 3b(6a + 2)

Answers

Answer:

\(a = \frac{5c-6b}{18b}\)

Step-by-step explanation:

\(5c = 3b(6a + 2)\)

\(\frac{5c}{3b} = (6a + 2)\)

\(\frac{5c}{3b}-2 = 6a\)

\(\frac{5c-6b}{3b} = 6a\)

\(\frac{5c-6b}{18b} = a\)

plz help me with this??!

plz help me with this??!

Answers

Step-by-step explanation:

–5/6 + 7/5 = –25/30 + 42/30

= 17/30

Please use the following to answer the next 4 questions. A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. A random sample of 49 bottles is selected, and the contents are measured. The sample yielded a mean content of 11.88 ounces with a standard deviation of 0.35 ounces.

1.State the null and alternative hypotheses.

a. H0: µ = 0, Ha: µ > 11.88

b. H0: µ = 0, Ha: µ ≠ 11.88

c. H0: µ = 0, Ha: µ > 12

d. H0: µ = 0, Ha: µ ≠ 12

2.Specify the rejection region for = 0.01. Reject H0 if

a. t > 2.68

b. t < -2.68

c. |t| > 2.68

d. z < 2.68

3.Calculate the p-value

a. 0.01

b. 0.02

c. 0.005

d. 0.05

4. What is your conclusion?

a. Reject H0

b. Fail to reject H0

c. Reject Ha

d. Fail to reject Ha

Answers

The null and alternative hypotheses can be stated as follows:

c. H0: µ = 12, Ha: µ ≠ 12

The null hypothesis (H0) assumes that the population mean content of the bottles is 12 ounces, indicating perfect adjustment of the filling machine. The alternative hypothesis (Ha) states that the population mean content is not equal to 12 ounces, suggesting that the machine is not in perfect adjustment.

The rejection region for α = 0.01 can be specified as:

c. |t| > 2.68

This means that we would reject the null hypothesis if the absolute value of the calculated t-statistic is greater than 2.68.

To calculate the p-value, we need the t-statistic corresponding to the sample mean and standard deviation. With a sample mean of 11.88 ounces, a standard deviation of 0.35 ounces, and a sample size of 49, we can calculate the t-statistic. The p-value represents the probability of observing a sample mean as extreme as the one obtained, assuming the null hypothesis is true.

The p-value cannot be determined without the t-statistic value or the corresponding degrees of freedom.

Without the p-value, we cannot draw a definitive conclusion. To make a conclusion, we would compare the calculated t-statistic to the critical t-value based on the chosen significance level (α = 0.01). If the calculated t-statistic falls within the rejection region (|t| > 2.68), we would reject the null hypothesis. If the calculated t-statistic falls outside the rejection region, we would fail to reject the null hypothesis.

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Simplify the following expressions by performing the operation.
(3+4i) 2(5 + 6i)

Answers

After solving the Expression using the properties of complex number we get the number as -18 + 76i.

What is iota ?

Complex Number is a number that consists both real part and imaginary part. It can be generally written in equation as z=a + bi  where  is real part while  is imaginary part.

Since complex number consists two parts - real and imaginary, we can say that all real numbers and imaginary numbers are indeed complex number.

As by the Property of iota,

i² = -1

Then the next step is to simplify the terms,

After Simplifying, we get

30 + 36i + 40i + 48i²

= 30 + 76i + (-48)

= 76i - 18

Hence we get the number as -18 + 76i

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The circumference of the cylinder below is 6 cm and the height is 8 cm. What is the curved surface area of the cylinder? If your answer is a decimal, give it to 1 d.p. circumference = 6 cm
8 cm​

Answers

The curved surface area of the cylinder is 48.06 cm².

The circumference of a cylinder is given by the formula:

C = 2πr

where C is the circumference and r is the radius of the base.

In this case, the given circumference is 6 cm.

So, 6 = 2πr

r = 6 / (2π)

r ≈ 0.955 cm

Now, the curved surface area (CSA) of the cylinder using the formula:

CSA = 2πrh

Given the height as 8 cm, we can substitute the values into the formula:

CSA = 2π(0.955 cm)(8 cm)

CSA ≈ 48.06 cm²

Therefore, the curved surface area of the cylinder is 48.06 cm².

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Kristina paid mortgage interest of
$6,320.00 and Medical Expenses of
$19,500.00 during 2022. Her
GROSS INCOME was $32,500.
16. Should Kristina take the
standard deduction or itemize her
two expenses? Why?
A)She should take the standard
deduction because it would be larger than her itemized deductions.
B) She should take the itemized
deductions because they would be larger than the standard deduction.
C) It wouldn't matter. Choosing either one
wouldn't change the outcome of your tax calculations.

Answers

Answer:

B) She should take the itemized deductions because they would be larger than the standard deduction.

Step-by-step explanation:

Given Kristina will file a single so her standard deduction for 2022 is $12,950.

For itemized deduction, she can include her mortgage interest of $6,320.00.

For her medical expenses, it has to be more than 7.5% of her gross income of $32,500 => 7.5% of $32,500 = $2437.5.

so her deduction for medical expenses is $19,500 - $2437.50 = $17,062.5

so her total itemized deduction is $6,320.00 + $17,062.50 = $23,382.50

Her itemized deduction is larger than standard deduction for single filing. So itemized deduction is the best option for Kristina.

A board that is 6.5 feet long has a section cut off that is 3.8 feet long. How much of the board is left?

Answers

I am not too sure but i think it is 2.7 feet.

micah was giving $200 for his birthday each week he spends 15$ on comic book. in how many weeks will his birthday money be gone? ​

Answers

Micahs money will be gone within about 13 weeks. He will, however, still have $5 left over.

arccsc(\(\frac{2}{3}\)\(\sqrt{3}\))

Answers

The arc cossecant of the given value is of 30º.

Cosecant and arc cosecant

The cosecant of an angle is given by the ratio between 1 and the sine of the angle, as follows:

cos(x) = 1/sin(x)

The arc cossecant of an angle is represented by the expression arc csc(x), and represents the inverse of the cossecant, that is, it is the angle which has a cosecant of x.

In this problem, the arc cossecant that is asked is:

\(\arccsc{\left(\frac{2}{3\sqrt{3}}\right)}\)

Basically, it asks for the angle which has a cossecant value of 2/(3sqrt(3)). This angle is found using a calculator, and it is of 30º.

Hence the numeric value of the expression is presented as follows:

\(\arccsc{\left(\frac{2}{3\sqrt{3}}\right)} = 30^\circ\)

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6 and 5 hundredths written in decimal

Answers

Answer:6.05

Step-by-step explanation:

6 is the ones place. 0 is the tenths place. 5 is the hundredths place.

pls help I GIVE BRAINIEST.In the graph above, determine where the image for vertices A, B, C, and D will be located after Quadrilateral ABCD is reflected over the y = 0 mirror line and then dilated using a scale factor of 2.5.

pls help I GIVE BRAINIEST.In the graph above, determine where the image for vertices A, B, C, and D will

Answers

Step-by-step explanation:

reflect the shape, will give you:

A = (-1,0)

B= (3, -5)

C= (-6, -7)

D= (-4, -1)

If a point A(x, y) is dilated by a factor P, the new point would be at

A'(Px, Py).

A = -1/2.5 = -0.4             0/2.5= 0

= ( - 0.4, 0)

B = 3/2.5 =  1.2              -5/2.5 = -2

= (1.2, -2)

C = -6/2.5= -2.4       -7/2.5 = -2.8

= ( -2,4, -2.8)

D = -4/2.5 = -1.6.     -1/2.5 = -0.4

= ( -1.6, -0.4)

You're Welcome!

Answer:

Step-by-step explanation:

( -1.6, -0.4)

I have to turn this in today!!! Please help me ASAP!

I have to turn this in today!!! Please help me ASAP!

Answers

Answer:

D. 9/5

Step-by-step explanation:

27:15= 9:5

18:10= 9:5

Answer:

D) \(\frac{9}{5}\)

Step-by-step explanation:

The scale factor between the shapes is 1.8 or 9/5 as a fraction.

Hope it helps!

Need help with this math. It’s either C or D? Please help

Need help with this math. Its either C or D? Please help

Answers

Answer:

C

Step-by-step explanation:

From my sources, it seems that each sine function's curve repeats itself. Or another word, "periodicity". The length for the sine and cosine curves is 2π. So I think it is C because the option says how "The cycle repeats every πradius."

I hope this helps!! If it isn't right I'm really sorry, tell me and I can correct it. Have a nice day. Also, sorry to ask but if someone else ever answers can you mark me as brainliest? I'm trying to go up a rank. Thank you.

C is the correct answer

What is the IQR for 10, 14, 15, 15, 16, 18, 19, 21

Answers

Answer:

15-18

Step-by-step explanation:

The IQR is the middle 50% of a set of numbers

There are 8 numbers, so its the middle 4

The middle 4 consists of 15,15,16,18

The range is 15-18

389.85+ 12.24 the lattice method

Answers

Answer: 402.09

Step-by-step explanation:

389.85+ 12.24 the lattice method

How do you find the answer to 4x+6<-6

Answers

Answer:

x < -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

4x + 6 < -6

Step 2: Solve for x

Subtract 6 on both sides:                  4x < -12Divide 4 on both sides:                      x < -3

Complete the table of values

Complete the table of values

Answers

Answer/Step-by-step explanation:

✔️when x = 0:

\( 4^{-x} \)

Plug in the value of x

\( 4^{-0} \)

\( \frac{1}{4^0} \) (negative exponent)

\( \frac{1}{1} \) (whatever number that is raised to the power of 0 = 1)

a = 1

✔️when x = 2:

\( 4^{-x} \)

Plug in the value of x

\( 4^{-2} \)

\( \frac{1}{4^2} \) (negative exponent)

\( b = \frac{1}{16} \)

✔️when x = 4:

\( 4^{-x} \)

Plug in the value of x

\( 4^{-4} \)

\( \frac{1}{4^4} \) (negative exponent)

\( c = \frac{1}{256} \)

write an equation in point-slope form for the line through the given point with the given slope
(10,-9)m is -2

Answers

Answer:

Step-by-step explanation:

Point: 10,-9

k=-2

y=-2x+b

So: 9, -7

8,-5

7,-3

6,-1

5,1

4,3

3,5

2,7

1,9

0,11

y=-2x+11

Answer:

y + 9 = - 2(x - 10)

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - 2 and (a, b ) = (10, - 9 ) , then

y - (- 9) = - 2(x - 10) , that is

y + 9 = - 2(x - 10)

Jacob can swim the 400-meter distance in 6.4 minutes now.How many more meters per minutes will Jacob need to swim to reach is goal?Explain how you found your answer.

Answers

Answer:

62.5 meters per minutes

Step-by-step explanation:

Find the circumference of the circle. Round to the nearest tenth.

A. 148.4 m

B. 169.6 m

C. 84.8 m

D. 54.0 m

Find the circumference of the circle. Round to the nearest tenth.A. 148.4 mB. 169.6 mC. 84.8 mD. 54.0

Answers

Answer:

251.2 in

Step-by-step explanation:

Circumference of circle = 2 · π · r

π = 3.14

r = 40 in

Let's solve

2 · 3.14 · 40 = 251.2 in

So, the circumference of the circle is 251.2 in

Help&EXPLAIN
•••••••••••••••••••

Help&amp;EXPLAIN

Answers

Answer:

46 in squared

Step-by-step explanation:

Rectangular prism surface area formula

Surface area = 2(lw + wh + lh)

Where w is width, h is height, and l is length

Plug in numbers and solve

4t^2-6 when t is 3
Math question

Answers

Answer:

30

Step-by-step explanation:

4t^2-6 when t is 3

Since we know t=3, we can substitute that in

4(3^2) - 6

Simplify.

3^2 = 9

= 4(9) - 6

= 36 - 6

= 30

Expressed in simplest form,(3x^3)(2y)^2(4x^4) is equivalent to

Answers

Answer:

Step-by-step explanation:

3\(x^{3}\)\((2y)^{2}\)4\(x^{4}\)

So I wrote down exactly above how the eq. is put in the question, note that the 2y is the only coefficient that is inside of the parenthesis,  I hope that is how the question is asked.  The 3 and 4 coefficient are NOT part of the exponential part.. is my point.. which will make a big difference if they were.  

anyway

3\(x^{3}\)4\(y^{2}\)4\(x^{4}\)

48\(y^{2}\)\(x^{3}\)\(x^{4}\)    ( b/c the x bases are the same we can just add the exponents)

48\(y^{2}\)\(x^{3+4}\)

48\(y^{2}\)\(x^{7}\)   ( this is your answer )

side note: an important learning point that was implied above is that you could rewrite the expression as 48\(y^{2}\)\(x^{2}\)\(x^{2}\)\(x^{2}\)\(x^{1}\)... why would you want to write it that way?  b/c often a square is needed to make a problem work out easier.

as in  Cos^2(Ф) + Sin^2(Ф) = 1     but that's another question L :P

(if you're read this far.. good for  you.. if it's the 1st time you've heard of that rule for exponents then ask your teacher / professor if I can have 1/2 of their pay since I am doing their job  :D  )  

Solve each system by elimination.

3) 3x + 4y = 12
-3x - y = 6

4) -5x – 6y = 5
-6x + 6y = 6

5) 7x - 4y = 19
10x - 2y = 16

6) 10x - 9y=-13
5x – 3y =-11

Answers

Answer:

3) x = -4 and y = 6

4) x = -1 and y = 0

5) x = 1 and y = -3

6) x = -4 and y = -3

Step-by-step explanation:

3) Add the equations:

(3x + 4y = 12) + (-3x - y = 6) (eliminate the x)

= 3y = 18

y = 18/3

y = 6

3x + 4(6) = 12

3x = 12 - 24

x = -12/3 = 4

4) Add the equations:

(-5x - 6y = 5) + (-6x + 6y = 6)

-11x = 11

x = -1

-5(-1) -6y = 5

-6y = 5 - 5

y = 0

5) 7x -4y = 19

10x - 2y = 16

Multiply the second equation by -2 to eliminate the y and add both equations.

-2(10x -2y = 16) =

(-20x + 4y = -32) + (7x - 4y = 19)

-13x = -13

x = 1

7(1) - 4y = 19

-4y = 19-7

y = 12/-4

y = 3

6) multiply the second equation by -2 to eliminate the x and then add the equations.

-2(5x - 3y = - 11) =

(-10x + 6y = 22) + (10x - 9y = - 13)

= -3y = 9

y = - 3

10x - 9(-3) = - 13

10x = -13 - 27

x = -40/10

x = -4

In a soccer​ field, four fifths

of the field is made up of soil and the remaining part is made up of grass and has 24 square meters. How many meters does the soil part​ have?

Answers

Answer: 96 square meters

Step-by-step explanation:

x=total meters.

y=4/5 * x

x=5/4 * y

x=4/5*x+24

5/4*y=y+24

(5/4*y=y+24)*4

5y=4y+96

y=96 square meters

determine the measure of CD from the diagram below

determine the measure of CD from the diagram below

Answers

Answer:

100 degrees

Step-by-step explanation:

This is because AED And CED ARE supplimetary.

80+<CED=180

-80           -80

<Ced=100

What is the domain and range of y=2x+5

Answers

-5/2 or x=-2 1/2, x=-2.5
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Ignacio has excellent hard skills, including his competency in ________, as demonstrated by his expertise in developing, delivering, and analyzing his companys social media impact.A) computational thinkingB) information technology applicationC) new media literacyD) decision making "Order management is all about keeping track of orders coming into a retail business and managing the processes required to fulfil them. Some organizations have expanded the order management concept to include the length of time it takes an organization to receive payment for an order, or what is called the order to cash cycle." With example, discuss the components of order cycle. how to say hippo in spanish Which celestial object is found in the Kuiper Belt? . . Mars B. Pluto C. Saturn D. Uranus 11. If you want something done right, you have to do it yourself. (Identify the Adverb Clause in the given sentence)12. All the plans, which he had for making money quickly, have failed.(Identify the Adjective Clause in the given sentence)13. That she should forget me so quickly hurts me. (Identify the NounClause in the given sentence) The work that Ryan did to find the greatest common factor of 48 and 72 is shown below.Prime factorization of 48: 2x2x2x2x3Prime factorization of 72: 2x2x2x3x3The greatest common factor is 2'2'2'3x3What is Ryan's error?(A) Ryan did not add the common prime factors to get the greatest common factor(B) Ryan did not list all the factors in the prime factorization of 48(C) Ryan did not list all the factors in the prime factorization of 72(D) Ryan did not include only common prime factors in the greatest common factor You report a confidence interval to your boss but she says that she wants a narrower range. SELECT ALL of the ways you can reduce the width of the confidence interval. oIncrease the sample size oDecrease the sample size oIncrease the confidence level oDecrease the confidence level Ioncrease the mean oDecrease the mean an organizational chart of a company shows vice presidents with responsibility for key areas such as design, manufacturing, sales, marketing, and after-sales support. this reflects a Accounting project grade 12 2022 term 2 eastern cape The Texas Bill of Rights is different from the U.S. Bill of Rights because Group of answer choices it is a separate document from the Texas Constitution. it does not list any specific protections for those accused of committing a crime. it is shorter than the federal Bill of Rights, containing only three protections. it grants rights and protections that are not found in the U.S. Bill of Rights. Write a sentence for this equation.2+3n=4n what two countries besides france supplied forces for operation overlord the security rules requirements are organized into which of the following three categories brief exercise 19-15 (static) eps; convertible preferred shares [lo19-9] ahnberg corporation had 800,000 shares of common stock issued and outstanding at january 1. no common shares were issued during the year, but on january 1, ahnberg issued 100,000 shares of convertible preferred stock. the preferred shares are convertible into 200,000 shares of common stock. during the year ahnberg paid $60,000 cash dividends on the preferred stock. net income was $1,500,000. what were ahnberg's basic and diluted earnings per share for the year? note: round your answers to 2 decimal places. the sailor 2025 program and the implementation of its core tenets fosters which design for maritime superiority line of effort Cholera is a disease that can spread when sewage mixes with drinking water. cholera is spread by _____ transmission. The National Wildlife Refuge supports ______ wildlife refugesA) 150B) 37C) 550D)227 which statements about openness to change are true? (choose every correct answer.) multiple select question. it is critical for the success of organizational change. it typically leads to positive work outcomes for the employee. it is a characteristic possessed by managers, but not by employees. it is an example of an important career readiness competency. which of the following statements is correct relating to preparation of statement of cash flows?a.Partnerships are not allowed to prepare a statement of cash flows.b.Statement of cash flows is prepared according to cash basis of accounting.c.Statement of cash flows shows only the investing activities of a business.d.Statement of cash flows is prepared according to the accrual basis of accounting.e.Statement of cash flows must only be prepared using the indirect method. in a survey of 1065 people, 797 people said they voted in a recent presidential election. voting records show that 72% of eligible voters actually did vote. given that 72% of eligible voters actually did vote, find the probability that among 1065 randomly selected voters, at least 797 actually did vote, then determine what the results suggest.