Find a solution to the linear equation 11x−y=−11.Find a solution to the linear equation 11x−y=−11.

Answer:

m∠BAC = 40°

Step-by-step explanation:

Note that line BD passes through A, so ∠BAC and ∠CAD form a linear pair.  By the Linear Pair Postulate, ∠BAC and ∠CAD are supplementary angles, and by definition their measures add to 180°:

m∠BAC + m∠CAD = 180°

Since the diagram gives us that m∠CAD = 140°, we can substitute and solve:

Starting supplementary angles definition equation ...

m∠BAC + m∠CAD = 180°

Substituting the known value of m∠CAD ...

m∠BAC + (140°) = 180°

Subtracting 140° from both sides of the equation...

(m∠BAC + 140°) - 140° = (180°) - 140°

Simplifying/evaluating...

m∠BAC = 40°

Answer:

+1560

Step-by-step explanation:

Since the corporation produced 1560 more cars then the answer is simply +1560.

Answer:

Step-by-step explanation:

volume of a cuboid = Length × Width × Height Cubic units

6 × 11 × 6 =

66 * 6 =

396 Km³

to the nearest hundred

400 Km³

Answer: 19683/64

Step-by-step explanation:

[tex]a_{n}=8\left(\frac{3}{2} \right)^{n-1}\\\\\implies a_{10}=8 \left(\frac{3}{2} \right)^{10-1}=\boxed{\frac{19683}{64}}[/tex]

Answer:

undefined

Step-by-step explanation:

Since line m passes through two points that have the same x-value but different y values, line m is horizontal to the y-axis which has an undefined slope.

Marlon's weight is 39.3 pounds with a mean weight of 40 pounds and a standard deviation of 1.3 pounds.

We know that the formula for calculating a z-score is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Given that mean weight = 40 pounds.

and standard deviation = 1.3 pounds.

Also given that Marlon is heavier than 30% of boys his age on average, according to measurements.

The z value of 30% is -0.524.

We can put this value in the formula.

-0.524 = (x - 40)/1.3

i.e. (-0.524) * 1.3 = x - 40

i.e. - 0.6812 = x - 40

i.e. x =  40 - 0.6812 = 39.3188

Therefore, we can conclude that Marlon's weight is 39.3 pounds with a mean weight of 40 pounds and a standard deviation of 1.3 pounds. So, the last option is correct.

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The pairs of variables that have a linear relationship is: A. side length and perimeter of 1 face.

The graph of a linear equation that shows a linear relationship between two variables are straight line graphs.

The graph shown is a straight line graph, therefore, it shows a linear relationship. Therefore, the pairs of variables that have a linear relationship is: A. side length and perimeter of 1 face.

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Answer:

44.70 US dollars

Step-by-step explanation:

euro left=(250/1.3687)-150=32.66(rounded to nearest cents

US dollars=32.66x1.3687

                =44.70US dollars

Answer:

ok so it could be Careful because think about it 10000x 0.01...

Answer:10,000

Step-by-step explanation:

Answer:

Expression that can be used to produce vector b from vector a        

=        T× magnitude of vector a × vector 'a'

Step-by-step explanation:

Given question is based on the concept of vectors

Vectors:-  Vectors is a geometric entity that has both magnitude and direction. Vectors have an initial point at the point where they start and a terminal point that tells the final position of the point. Various operations can be applied to vectors such as addition, subtraction, and multiplication

To produce an another vector form a given vector we increase its magnitude only not its direction as we have to produce another vector 'b' with increased magnitude from a given vector 'a'.

its clear from  the question that only the magnitude of  vector a is increased to produce another vector b

hence we multiply any constant ('T') with the magnitude of vector a to increase its magnitude.

and finally multiply the increased magnitude with the vector 'a' itself to get the answer.

so, the final expression that can be used to produce vector b from vector a is =  T× magnitude of vector a × vector 'a'.

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B) 15 hours, 34 minutes

2:12 + 15 hours = 5:12 A.M

5:12 + 34 minutes = 5:46 A.M

Answer:

112

Step-by-step explanation:

Answer:

I believe its A. 37

Step-by-step explanation:

That seems to be the measure of B

Answer:

A.) x = 21.4

Step-by-step explanation:

When solving the inequality, you can treat the sign like an equal sign. To isolate the "x" variable, you can add "4" to both sides. This eliminates the -4 from the right side.

You are left with the inequality:

x > 19.5

If "x" must be greater than 19.5, the only answer that satisfies this is A.) x = 21.4. All of the other answers are less than 19.5.

[tex]\bf{x -4 > 15.5}[/tex]

[tex]\bf{Add \ 4 \ to \ both \ sides.}[/tex]

[tex]\bf{x-4+4 > 15.5+4 }[/tex]

[tex]\bf{x > 19.5 === > Answer }[/tex]

[tex]\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

The new coordinate will be T'(3.2 , -1.6) .

Dilation is the transformation that changes the size of the object without changing its shape .

If a coordinate point is (x,y) and a dilation of scale factor f is applied then the new coordinates will be (fx ,fy)

The coordinate given in the question is T(8, -4)

The scale factor is 0.4

The new coordinate is

T'( 0.4 * 8 , 0.4 * (-4))

T'(3.2 , -1.6)

Therefore the new coordinate will be T'(3.2 , -1.6)

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97.5% of American women have shoe sizes that are no more than 11.47.

Lets try to solve the question,

Given values ,

Dev (u) = 8.47

Standard deviation (x) = 1.47

So we e have to find the percentage of American women whose shoe size's are not more than 11.47 P(x<11.47).

Lets find z score by using empirical formula.

=> [tex]z= (x-u) / a[/tex]

=> [tex]11.47-8.47/1.5[/tex]

=> [tex]z= 2[/tex]

Now we have to find [tex]P(z < 2)[/tex] . Using the empirical rule, we know that 97.5% data lies below 2 standard deviations above mean.

Therefore the 97.5% of American women have shoe sizes that are no more than 11.47.

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D. 12.5

The equation to find the average rate of change is

[tex] \frac{y2 - y1 }{x2 - x1} [/tex]

To find the average rate of change between points (0,20) and (8,120) you need to plug it into the equation so it'll be

[tex] \frac{120 - 20}{8 - 0} [/tex]

this simplifies to

[tex] \frac{100}{8} [/tex]

which is 12.5

Answer:

middle graph

Step-by-step explanation:

Soluton

The  second (middle ) graph is the only one that works.

Answer:

question 1

the ticket price which results in the greatest revenue is 14+8=22$

question 2

the greatest revenue we get is 22*(7500-250*8)= 22*5500=121000$

Step-by-step explanation:

the cost of a ticket to music concert is 14$

capacity of people for concert = 7500

for every increase in price attendance decreases by 250

so the required equation for getting revenue is
                         y =   (14+x)(7500-250x)
                            = 105000+7500x-3500x-250x^2

by differentiating the above equation with respect to x we can find the local maxima which gives us the price for getting more revenue

      dy/dx = 7500 -3500 - 500x =0

                      4000=500x

                          x= 8

from the above equation we got that if the increase in price was 8$ we will be getting the most revenue out of the concert

question 1

the ticket price which results in the greatest revenue is 14+8=22$

question 2

the greatest revenue we get is 22*(7500-250*8)= 22*5500=121000$

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The multiplication of the expression will be 1215 cubic yd 2295 cubic inches.

It is also known as the product. If the object n is given to m times, then we just simply multiply them.

The expression is given below.

(9 cubic yd and 17 cubic in) × 135

On multiplication, we have

135 × 9 cubic yd and 135 ×  17 cubic in

1215 cubic yd and 2295 cubic inches

1215 cubic yd 2295 cubic inches

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The multiplication is 56,689,335 cu in

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.

9 cu yd 17cu in

1 cu yard = 46656 cu inches

9 cu yard = 9*46656 = 419904 cu inches

Now, total inches

= 419904 cu inches + 17 cu in

= 419,921 cu inches.

and, the multiplication is

=56689335

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The list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have given a linear equation in one variable.

[tex]\rm \dfrac{1}{2}y + 3.2y = 20[/tex]

After solving:

y = 5.40   (one solution)

[tex]\rm \dfrac{15}{2}+ 2z -\dfrac{1}{4}=4z+\dfrac{29}{4} -2z[/tex]

After solving:

[tex]\rm \dfrac{15}{2} -\dfrac{1}{4}=\dfrac{29}{4}[/tex]

[tex]\rm \dfrac{29}{4}=\dfrac{29}{4}[/tex] (Infinitely Many Solutions)

3z + 2.5 = 3.2 + 3z

2.5 = 3.2  (no solution)

Similarly, we can identify which equation has No Solution, One Solution, and Infinitely Many Solutions.

Thus, the list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.

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Answer:

x-intercept is (-1,0)

y-intercept is (0,-3)

Step-by-step explanation:

An intercept is where the graph crosses the axis.

Here the graph crosses the x-axis (numbered horizontal line that goes left and right) at the point (-1,0)

The graph crosses the y-axis (numbered vertical line that goes up and down) at the point (0,-3). These are what are called intercepts.

The solution of the equation is x = -2±2i√2. The solution to the equation is found in the Sridharacharya formula.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given equation;

x² + 4x + 12 = 0

The solution to the equation is found as;

x² + 4x + 12 = 0

The solution to the equation is;

[tex]\rm x=-b \pm \frac{\sqrt{b^2-4ac}}{2a} \\\\ \rm x=-4 \pm \frac{\sqrt{4^2-4\times 4 \times 1}}{2\times 4} \\\\[/tex]

x = -2±2i√2

Hence the solution of the equation is x = -2±2i√2.

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The subpopulations of mechanical and civil engineers are not earning different salaries.

If a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant.

This assertion simply means that average salaries of the  mechanical and civil engineers are not different.

Thus, the subpopulations of mechanical and civil engineers are not earning different salaries.

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The confidence interval for the true mean diastolic blood pressure of all people is 100 ± 2.41 where the lower limit is 97.59 and the upper limit is 102.41

We have:

Mean = 100

Sample size = 80

Standard deviation = 11

At 95% confidence interval, the critical z value is:

z = 1.96

The confidence interval is then calculated as:

[tex]CI = \bar x \pm z \frac{\sigma}{\sqrt n}[/tex]

So, we have:

[tex]CI = 100 \pm 1.96 \frac{11}{\sqrt {80}}[/tex]

Evaluate the product

[tex]CI = 100 \pm \frac{21.56}{\sqrt {80}}[/tex]

Divide

[tex]CI = 100 \pm 2.41[/tex]

Split

CI  = (100 - 2.41,100 + 2.41)

Evaluate

CI  = (97.59,102.41)

Hence, the confidence interval for the true mean diastolic blood pressure of all people is 100 ± 2.41

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Answer:

a= 30

b=60

c=105

Step-by-step explanation:

A forms a vertical angle with another angle that measures 30 degrees, therefore,

a= 30 degrees.

Since a is 30 degrees and a and b are in the same triangle with a 90-degree angle and all interior angles in a triangle equal 180 degrees.

Then, 30+90+b=180

120+b=180

b=60

Angle c and an angle that equals 75 degrees are supplementary. meaning that they add up to 180 degrees.

180-75=c

105=c

The slope of the line is

[tex]\frac{-3-1}{6-3}=\frac{-4}{3}[/tex]

Substituting into point-slope form using the point (3,1),

[tex]\boxed{y-1=-\frac{4}{3}(x-3)}\\\\y-1=-\frac{4}{3}x+4\\\\\boxed{y=-\frac{4}{3}x+5}[/tex]

Answer: The equation of the line that passes through (6,- 3) and (3,1) is  y = [tex]\frac{-4x}{3}[/tex] +5.

Step-by-step explanation:

Point-slope formula : (y - y1) = m(x - x1)

y = y coordinate of second point

y1     = y coordinate of first point

m = slope

x = x coordinate of second point

x1     = x coordinate of first point

slope (m) = [tex]\frac{1-(-3)}{3-6}[/tex]

          m = [tex]\frac{4}{-3}[/tex] or [tex]\frac{-4}{3}[/tex]

now put values in point-slope formula  : (y - 1) = [tex]\frac{-4}{3}[/tex](x - 3)

y - 1 = [tex]\frac{-4x}{3\\}[/tex] + 4

y = [tex]\frac{-4x}{3}[/tex] +5

So the equation of the line that passes through (6,- 3) and (3,1) is y = [tex]\frac{-4x}{3}[/tex]+5.

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Answer:

1000 pencils = $ 20.

10 pencils = ?

10 * 20 / 1000

200/1000

2/10

1/5

0.5.$

Answer:

$0.20

Step-by-step explanation:

If 1000 pencils cost $20, then we must first find the unit rate.

20/1000 = 0.02, so it costs $0.02 for each pencil. To find out what ten pencils cost, we multlipy 0.02 by 10.

0.02 * 10 = 0.2, or $0.20.

Brainliest, please :)

Answer:

either it's 7 and 3 but not sure

Step-by-step explanation:

7x3 =21

now for the negative -10 it would basically be -7+-3=-10