If two lines in a linear system __________, they have exactly one point in common.

Answer:

-22

Step-by-step explanation:

Simplify the expression.

−22

The equation that could be used to solve for the time t in hours that she drove before her stop is 80t + 100(8/3 - t) = 250.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.

Let t = time she drove before her stop

If the total trip time is 3 hours including the stop, which took 20 minutes, then the time she drove after the stop is 3 - t - 1/3 or 8/3 - t.

If altogether she drove a distance of 250 km, then the sum of the products of the rate of speed and time each drive is equal to 250.

(80 km/h)(t) + (100 km/h)(8/3 - t) = 250

Simplify the equation.

80t + 100(8/3 - t) = 250

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p = 8 and q = 4, Nul A is a subspace of R^8 and Col A is a subspace of R^4.

We can use the rank-nullity theorem, which states that for a matrix A with m rows and n columns, the sum of the dimensions of its null space and column space equals n, i.e.,

dim(Nul A) + dim(Col A) = n.

For the given matrix A = [1 2 3 4 5 7 -5 -1 0 3 3 4], find its reduced row echelon form:

[ 1 0 -3 -2 0 0 5 1 0 0 0 0 ]

[ 0 1 2 3 0 0 -3 -1 0 0 0 0 ]

[ 0 0 0 0 1 0 2 1 0 0 0 0 ]

[ 0 0 0 0 0 1 0 1 0 0 0 0 ]

The columns of A corresponding to the pivot columns of the reduced row echelon form form a basis for the column space of A, which has dimension 4. Therefore, we have q = 4.

The columns of A corresponding to the free variables of the reduced row echelon form form a basis for the null space of A, which has dimension 8. Therefore, we have p = 8.

We have p = 8 and q = 4, such that Nul A is a subspace of R^8 and Col A is a subspace of R^4.

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Answer: A) Buddhism

Step-by-step explanation:

Answer:

Thee answer is A. Buddhism. Hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\sqrt{87x} =\sqrt{29\times3\times x}\)

When \(x=21\) we get:

    \(\sqrt{87x} =\sqrt{29\times3\times 21}\)

              \(=\sqrt{29\times3\times3\times7}\)

              \(=3\sqrt{29\times7}\)

               \(=3\sqrt{203}\)

So when \(x=21\) we can simplify \(\sqrt{87x}\).

Step-by-step explanation:

there are many construction vids if you need a visual, but first off you need to a ruler, compass and protractor. draw a straight line horizontally, leave enough space above to add the length given as vertical side.

on the straight line choose a point preferably near centre and. place compass on the point and open to any distance, on the pencil side, draw a semi circle cutting the horizontal line at two points.

label the two points a and b

place compass on point and draw a smaller curve from that point above the center then do the same on other side

remember do not change the Size the compass was opened at for drawing the curves

the two new curves you drew should intersect, using ruler, draw a straight line vertically through intersection and center point

this line can be the required length given

you will notice an inverted T shape

the angle will be 90deg on either side, measure to ensure

Step-by-step explanation:

s = 17b

when b  =2:

s = 17b

s = 17(2)

s = 34

when b = 4

s = 17b

s = 17(4)

s = 68

Answer:three significant figures: the 4, the 1, and the 8. This is ... 3) 7.09 x 10¯5 - three significant figures. ... Here is how it would be written: 9.160 x 104. ... Find the number with the LEAST number of digits in the decimal portion. ... The first value in the problem, with three significant places to the right of the decimal point, ...

Missing: (5.4 ‎| Must include: (5.4

Step-by-step explanation:

☽------------❀-------------☾

Hi there!

~

\((1.52\ \times 10^5)+(5.4\times 10^4)\)

\(= (1.52)(10000)+5.4(10^4)\)

\(= 150000 + 5.4(10^4)\)

\(= 150000 + (5.4) (10000)\)

\(= 150000 + 54000\)

\(=20600\)

❀Hope this helped you!❀

☽------------❀-------------☾

The coordinates of the point on the directed line segment from (−3,4) to (3,8) partitions the segment into a ratio of 1 to 3 is given as follows:

(-1.5, 1).

The coordinates of the point are applied using proportions, as the fact that the point partitions the segment into a ratio of 1 to 3 means that the following equation is built:

Point - Initial Coordinate = 1/4(Final Coordinate - Initial Coordinate).

This equation is used to find both the x-coordinate and the y-coordinate of the point.

The x-coordinate of the point is obtained as follows:

x + 3 = 1/4(3 + 3)

x + 3 = 1.5

x = -1.5.

The y-coordinate of the point is obtained as follows:

y - 4 = 1/4(-8 - 4)

y - 4 = -3

y = 1.

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Hey there!

To find out the answer you have to DIVIDE the number of pies (which is 10) from the number of people (5) because if we do any other operations your result would be way too big or too small to make it equal amounts for each person.

EQUATION:

≈ 10 ÷ 5

CONVERSION of EQUATION:

≈ 10/5

ANOTHER CONVERSION of EQUATION:

≈ 10 ÷ 5 / 5 ÷ 5

SOLVING:

≈ 2/1

SIMPLIFICATION:

≈ 2 ÷ 1

YOUR RESULT: 2

Therefore, your answer is: 2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

it is 2

Step-by-step explanation:

because 10/5= 2

The equation in slope-intercept form of the line passing through the given points is,  y = (-1/2)x + 1

A table containing values of x and y is given:

x           y

-2          2

0           1

2           0

4           -1

So the points on the line are:

(-2,2), (0,1), (2,0) and (4,-1)

The equation in slope-intercept form of a line is,

   y = mx + c,

where m is the slope of the line and c, the y-intercept of the line.

So we need to find the slope and the y-intercept of the line from the given table values.

Let (x₁, y₁) = (-2,2) and (x₂, y₂) = (0,1).

Then slope of the line, m = (y₂-y₁)/(x₂-x₁)

                                           = (1-2)/(0- -2)

                                           = -1/2

The y-intercept of a line is the y-co-ordinate of the point which intersect the y-axis. I.e., it is the y-co-ordinate of the point at which x = 0.

From the table, when x = 0, y = 1.

Hence the y-intercept, c = 1.

So finally, the equation in slope-intercept form of the line is,

y = (-1/2)x + 1

The question is incomplete. Find the complete question below:

Find an equation in slope-intercept form of the line that passes through the given points.

x           y

-2          2

0           1

2           0

4           -1

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Based on the properties of a parallelogram, m∠N = 68°.

Thus:

4x + 36 = 6x - 2

Add like terms

4x - 6x = -36 - 2

-2x = -38

x = 19

m∠M = 6x - 2

Plug in the value of x

m∠M = 6(19) - 2

m∠M = 112°

m∠N = 180 - 112

m∠N = 68°

Therefore, based on the properties of a parallelogram, m∠N = 68°.

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The polynomial function f(x) = x³ - 5x² - 61x - 55 has the following

Real zeros: x = -5, x = -1, and x = 11.  

To find the rational zeros of a polynomial, we use the rational zeros theorem. We look at the factors of the leading coefficient and the factors of the constant coefficient.

The  states that if a polynomial function is defined as P(x) = anxn + an-1xn-1 + ... + a1x + a0 with integers, then each rational zero of the polynomial can be expressed in the form p/q where p is a factor of a0 and q is a factor of an.

For example, if P(x) = 2x³ - 5x² + 3x + 6 then p can be any factor of 6 and q can be any factor of 2.

The factors of the leading coefficient, 1, and the factors of the constant coefficient, -55, are: ±1, ±5, ±11, ±55. So the possible rational zeros are: ±1, ±5, ±11, ±55, ±1/1, ±5/1, ±11/1, ±55/1, ±1/1, ±5/1, ±11/1, ±55/1.

Simplifying the results, we have that the potential rational zeros are: ±1, ±5, ±11, ±55, ±1, ±5, ±11, and ±55.

By testing each possible rational zero, we find that x = -5, x = -1, and x = 11 are the real zeros of f(x).

Hence, using synthetic division, we get:

(x + 5)(x + 1)(x - 11) = x³ - 5x² - 61x - 55

Thus, the function can be factored over the real numbers as

f(x) = (x + 5)(x + 1)(x - 11).

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Answer:

137.5

Step-by-step explanation:

The ratio of John's money to Peter's money is 5/4. This means if John has a total amount of 5 then Peter will have a total of 4 as his amount.

Let's assume John has 'x' amount of  money, Peter has 'y' amount of money, The money John saved is 'p' and the money Peter saved is 'q'

So,

p = x - 80x/100                (equation 1)

q = y - 75y/100                (equation 2)

According to the given question, the amount John saved is equal to the amount Peter saved. Hence, we can equate equations 1 and 2.

p = q

x- 80x/100 = y - 75y/100

x - 0.8x = y - 0.75y

0.2x = 0.25y

x =  0.25y/0.2

x/y = 0.25/0.2

x/y = 25/20

x/y = 5/4

Hence, the ratio of John's money to Peter's money is 5/4.

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Answer:

Step-by-step explanation:

(-2, 0) (0, 4)

(4 - 0)/(0 + 2) = 4/2 = 2

y - 0 = 2(x + 2)

y = 2x + 4

Answer:

Step-by-step explanation:

The given equation is not instandard form. First standard form is neccesary.

The result is 3x + 108 = 12y which is equal to 12y = 3x + 108

The slope is represented in this form as m (Y = mx + b)

(with b as the initial value)

Therefore, 3 is the slope.

To find its perpendicular slope.

To find it's perpendicular, know that it is the negative reciprocal.

FInally, the slope perpendicular to the line whose equation is 3x - 12y = -108 is \(\frac{1}{-3\\}\)

Answer:

4+4=8

Step-by-step explanation:

The standard deviation of all the average cholesterol levels we get will be close to 15 mg/dl.

The standard deviation of the average cholesterol levels will be given by the standard error of the mean, which is calculated as

standard error of the mean = standard deviation / sqrt(sample size)

In this case, the sample size is 4, so we have

standard error of the mean = 30 / sqrt(4) = 15

Therefore, if we take many samples of 4 fourteen-year-old boys and average their cholesterol levels, the standard deviation of all the average cholesterol levels we get will be close to 15 mg/dl.

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The first thing we have to do is transform the value of the man's height from feet to inches:

a) man with 6 feet 3 inches

b) Using the calculated value of the previous z score, we search the z table to find the percentage of men smaller than that height.

So the percentage is 98.81%

c) A woman with 5 feet 11 inches

d) Using the calculated value of the previous z score, we search the z table to find the percentage of women taller than that height.

So the percentage is 0.6%

To solve this problem, we can set up a proportion based on the given information. Let's assume that the number of machines is directly proportional to the number of devices produced .

The time taken is inversely proportional to the number of devices produced. From the given information: 24 machines can make 5 devices in 30 minutes. let's assign variables:  Let m1 be the number of machines.

Let d1 be the number of devices. Let t1 be the time taken. We have the following ratios: m1:d1 = 24:5 (number of machines to number of devices)

t1:d1 = 30:5 (time taken to number of devices).  Now we need to find the time it would take for 4 machines to make 15 devices. Let m2 be the number of machines (4 in this case). Let d2 be the number of devices (15 in this case). Let t2 be the time taken (to be determined). We can set up the following proportion:  m1:d1 = m2:d2.  Substituting the values we have: 24:5 = 4:15.  To find t2, we can set up the following proportion:

t1:d1 = t2:d2.  Substituting the values we have: 30:5 = t2:15.   Now we can solve for t2: 24/5 = 4/d2 (Cross-multiply).  24d2 = 4 * 5.  24d2 = 20.  d2 = 20/24. d2 = 5/6. So, 4 machines will make 15 devices in 5/6 of the time it took 24 machines to make 5 devices. To find the time, we can set up a proportion: 30/5 = t2/(5/6) (Cross-multiply). 30 * (5/6) = t2. 25 = t2. Therefore, 4 machines will take 25 minutes to make 15 devices. To convert this to hours, divide the time by 60: 25 minutes = 25/60 hours

25/60 = 5/12(Answer) .

Therefore , if 24 machines can make 5 devices in 30 minutes,  4 machines will take 5/12 of an hour to make 15 devices.

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Answer:

16

Step-by-step explanation:

The distance from the midpoint to \(K\) is \(|-6-2|=8\).

By definition, this is half the length of \(\overline{JK}\), meaning \(JK=16\).

The price of the advertisement that originally costs $110 after a 15% markdown is $ 83.5.

Original price = $110

Markdown percent = 15%

Reduce in price = 15% of 110

To calculate this, we divide the percent by 100 and multiply it by the number given. Like in the above case, we divide 15 by 100 to get 0.15 and multiply it by 110.

= 0.15 * 110 = 16.5

Price after markdown = original price - reduction in price

= 110 - 16.5

= $ 83.5

Thus, the price for a quarter-page ad of the school yearbook which used to be $110 has come down to $83.5 after a 15 % markdown to attract more sponsors.

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Based on the calculations, the numerical length of line segment FG is equal to 11 units.

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and then divide by two (2).

Based on the given line segment (see attachment), we have:

EF + FG = EG

9 + x + 9 = 10x

18 + x = 10x

10x - x = 18

9x = 18

x = 18/9

x = 2.

Now, we can solve for line segment FG:

FG = x + 9

FG = 2 + 9

Line segment FG = 11 units.

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To solve the question:

9a x 3 + 8a + 4 -11a

First we will apply the rule of BODMAS

By applying the rules, we will first multiply before adding or subtracting

27a + 8a + 4 - 11a

Then we re-arrange after multiplying

27a + 8a -11a + 4

we will add all the numbers with "a" variable

24a + 4

Answer:

              An simplified expression to represent the sum of ∠ABD and ∠DBC is 7n + 6.

Step-by-step explanation:

              Since we are looking to find an expression that represents the sum of ∠ABD and ∠DBC, we simply need to add the two expressions that represent their respective angle measures and simplify. The measure of ∠ABD is 2n + 7, and the measure of ∠DBC is 5n - 1, which means that the sum of the angles can be written with the expression 2n + 7 + 5n - 1, and now combine like-terms to simplify the expression, and you'll get 7n + 6.

Have a great day! Feel free to let me know if you have any more questions :)