What is the equation of a line, in general form, that passes through points (-1, 2) and (5, 2)?


y - 2 = 0
y - x - 2 = 0
x - 2 = 0

The measure of angles of

Consider the inner triangle
The sum of interior angles of the triangle is 180 degrees

Then,

77 + 77 + ∠3 = 180 degrees

∠3 + 154 = 180

∠3 = 180 - 154

∠3 = 26 degrees

Consider the middle triangle

60 + 60 + 26 + ∠2 +∠4 = 180 degrees

146 +∠2 + ∠4 = 180

∠2 + ∠4 = 180 - 146

∠2 + ∠4 = 34

Here ∠2 and  ∠4 are equal

Then ∠2 = ∠4 = 34/2 = 17 degrees

Consider the outer triangle

42 + 42 + ∠1 + ∠5 + 34 + 26 = 180

∠1 + ∠5 + 144 = 180

∠1 + ∠5 = 180 - 144

∠1 + ∠5 = 36

∠1 and ∠5 are equal

Then,

∠1 = ∠5 = 18 degrees

Hence, the measure of angles of

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Answer:

the relationship is a function....

The cubic root of 1000 is of 10, as 10³ = 1000.

We have that 1000 is equivalent to 10³, as:

10³ = 10 x 10 x 10 = 100 x 10 = 1000.

Then the cubic root is found as follows:

\(\sqrt[3]{1000} = \sqrt[3]{10^3} = 10\)

Hence, the cubic root of 1000 is of 10, as 10³ = 1000.

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Answer:

³√1000 = 10

Step-by-step explanation:

Now we have to,

→ Evaluate ³√1000

Let's solve the problem,

→ ³√1000

→ 10

Checking the answer,

→ x³ = 10³

→ 10 × 10 × 10 = 1000

Hence, the answer is 10.

Answer:

5 is the median

Step-by-step explanation:

The "median" is the "middle" of the set of numbers. Considering there are 13 total numbers, making it un-even, there can be an equal amount of numbers taken off of each side with a middle number remaining. That middle number will be your median..

You can put 14 boxes of candy weighing 3/4 lb each in the bin.

To determine how many 3/4 lb boxes of candy can fit in a bin, we divide the total weight of the bin by the weight of each box.

First, let's convert the mixed number 10 1/2 lbs to an improper fraction.

10 1/2 lbs = (10 * 2 + 1) / 2 = 21/2 lbs

Next, we divide the total weight of the bin (21/2 lbs) by the weight of each box (3/4 lb):

(21/2 lbs) / (3/4 lb) = (21/2) * (4/3) = (21 * 4) / (2 * 3) = 84/6 = 14

As a result, you can fill the bin with 14 boxes of sweets that each weigh 3/4 lb.

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The area of the parallelogram will be 3285/8 square feet.

What is the area of the parallelogram?

The space bounded by a parallelogram's four sides is known as its area. A parallelogram's area is determined by multiplying its length by its height. A quadrilateral's interior angles add up to 360 degrees. Two pairs of parallel sides with equal lengths make up a parallelogram.

Here, we have

Given: A parallelogram with a base of 22 and one-half feet and a height of 18 and one-fourth feet.

Area of the parallelogram = H × W square units

The length is 22 ¹/₂ ft. And the height is 18 ¹/₄ feet.

Convert the mixed fraction number into a fraction number. Then we have

22 ¹/₂ = 45/2 feet

18 ¹/₄ = 73/4 feet

The area of the parallelogram is given as,

A = (45/2) x (73/4)

A = 3285 / 8 square feet

Hence, the area of the parallelogram will be 3285/8 square feet.

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Step-by-step explanation:

-3 +(-3)

= -3 -3

True because (+)(-) = -

Answer:

60x24

Step-by-step explanation:

60x24=1224

The commutator is zero, we can conclude that the observables A and B are compatible.

To determine whether the observables A and B are compatible, we need to check if their corresponding operators commute. Two operators A and B commute if their commutator, [A, B], is equal to zero.

Given the matrices representing the observables A and B:

A = |2, 0, 0|

   |0, 0, 0|

   |0, 0, 0|

B = |b1, 0, 0|

   |0, b2, 0|

   |0, 0, b3|

To check for commutativity, we need to calculate the commutator [A, B]:

[A, B] = AB - BA

Multiplying the matrices A and B:

AB = |2b1, 0, 0|

      |0, 0, 0|

      |0, 0, 0|

BA = |2b1, 0, 0|

      |0, 0, 0|

      |0, 0, 0|

Now, subtracting BA from AB:

[A, B] = AB - BA

         = |2b1, 0, 0| - |2b1, 0, 0|

            |0, 0, 0|    |0, 0, 0|

            |0, 0, 0|    |0, 0, 0|

Simplifying the subtraction:

[A, B] = |0, 0, 0|

           |0, 0, 0|

           |0, 0, 0|

As we can see, the commutator [A, B] is a zero matrix. Therefore, [A, B] = 0.

Since the commutator is zero, we can conclude that the observables A and B are compatible.

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Consider two observables A and B in a three-dimensional Hilbert space. In the basis: 11) = 0 12) = 1 13) = 0 01 0 0 A → 9) 0 0 0 the observables A and B are represented, respectively, by the matrices (2 by 0 0 0 0 Bb 2 0 0 0 where the parameters 01, 43, bı, by are real numbers, and Q1 # 03. a) (5 points] Show that the observables A and B are compatible.

Answer:

Dario's hourly salary

is $11

Given:

The equation that models the amount of calories in the snack is

\(4c+9f=120\)

where c is the number of grams of carbohydrates and  f is the number of grams of fat.

To find:

The combination of carbohydrates and fat meet the constraint  of 120 calories.

Solution:

In option A, 4 grams of carbohydrates and 12 grams of fat.

Put c=4 and f=12 in the given equation.

\(4(4)+9(12)=16+108=124\neq 120\)

In option B, 4 grams of carbohydrates and 21 grams of fat.

Put c=4 and f=21 in the given equation.

\(4(4)+9(21)=16+189=205\neq 120\)

In option C, 3 grams of carbohydrates and 12 grams of fat.

Put c=3 and f=12 in the given equation.

\(4(3)+9(12)=12+108=120\)

In option D, 3 grams of carbohydrates and 13 grams of fat.

Put c=3 and f=13 in the given equation.

\(4(3)+9(13)=12+117=129\neq 120\)

Only the combination of 3 grams of carbohydrates and 12 grams of fat meet the constraint  of 120 calories.

Therefore, the correct option is C.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

triangle ABC:

CA = 10

AB = 8

CB = 6

triangle DEF:

FD = x

DE = 12

FE = y

Step 02:

similar triangles:

10 * 12 = 8 * x

120 = 8x

120 / 8 = x

15 = x

6 * 12 = 8 * y

72 = 8y

72 / 8 = y

9 = y

The answer is:

x = 15

y = 9

A study conducted in 2004 examined the usage of cable television and radio among 10 individuals to determine if there was a significant difference in the average hours spent on each medium. Using a significance level of 0.05, statistical analysis was performed to test for a disparity between the population mean usage of cable television and radio.

The researchers collected data on the number of hours per week spent watching cable television and listening to the radio from a sample of 10 individuals. The objective was to determine if there was a significant difference in the average usage between cable television and radio, considering the increasing competition among various entertainment options.

To test for a difference between the population mean usage for cable television and radio, a statistical hypothesis test was conducted. The significance level (α) of 0.05 was chosen, which means that the results would be considered statistically significant if the probability of obtaining such extreme results by chance alone was less than 5%.

The test compared the means of the two samples, namely the average hours spent watching cable television and listening to the radio. By analyzing the data using appropriate statistical techniques, such as a two-sample t-test, the researchers determined whether the observed difference in means was statistically significant or could be attributed to random variation.

After conducting the hypothesis test, if the p-value associated with the test statistic was less than 0.05, it would indicate that there was a significant difference between the population mean usage of cable television and radio. Conversely, if the p-value was greater than 0.05, there would be insufficient evidence to conclude a significant disparity.

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Answer:

18.10

Step-by-step explanation:

6x2.40= $14.40 + $3.70= 18.10

Answer:

18.1 dollars

Step-by-step explanation:

2.40x6+3.70

Answer:

2 gallons

Step-by-step explanation:

Answer:

2 gallons for 5.98$

Step-by-step explanation:

for two gallons.

1/4g milk = 12.92

1/2g milk= 8.36

1g milk= 8.50

Answer:

5

Step-by-step explanation:

slopes of the parallel lines are always same this line has slope five

because equation in y intercept form is y=mx+b

where m is the slope.

so the slope of the new line will be five

Answer:

154 inches tall.

Step-by-step explanation:

In this scenario, the sun's angle is the same for both objects. Since we have three values and 1 variable (height of the pole) we can use the Rule of Three to solve this. In this, we simply multiply the diagonal values of the ratios and divide by the third value to get the value of the variable like so...

55 in.  <=====>  70 in.

x  <=========>  196 in.

(55 * 196) / 70 = x

10,780 / 70 = x

154 in. = x

Finally, we can see that the flagpole is 154 inches tall.

The instrument used to measure the air taken in by and expelled from the lungs is called a spirometer. It measures lung volumes and capacities.

Which are important indicators of lung function and respiratory health. Spirometry is a common test used to diagnose and monitor respiratory diseases such as asthma, chronic obstructive pulmonary disease (COPD), and pulmonary fibrosis.

air that a person inhales and exhales. It measures several lung volumes and capacities, including:

Tidal Volume (TV): This is the amount of air that is inhaled or exhaled during normal breathing.

Inspiratory Reserve Volume (IRV): This is the additional amount of air that can be inhaled after a normal inhalation.

Expiratory Reserve Volume (ERV): This is the additional amount of air that can be exhaled after a normal exhalation.

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Using the combination formula, it is found that 4845 combinations of four students are possible.

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this problem, four students are taken from a set of 20, hence the number of combinations is given by:

\(C_{20,4} = \frac{20!}{4!16!} = 4845\)

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Answer: So for a it is 12 and for b it is 6 which means that you have to multiply throughout

Step-by-step explanation:

Answer:

I believe b?

Step-by-step explanation:

I think i took this course

Null space is defined as the set of vectors 'x' in Rn that are solutions to the matrix equation A*x = 0. False: The set of all vectors of the form 1 x y where x and y range over all real numbers is a subspace of R3. True: The set of all vectors of the form 0 x y where x and y range over all real numbers is not a subspace of R3.

1) False Null space can consist of zero vector only. A null space is defined as the set of vectors 'x' in R^n that are solutions to the matrix equation A*x = 0.

2) True The number of columns can never be less than the number of rows of the matrix in order for a null space to exist, hence a 4x3 matrix may have the null space of only the zero vector.

3) True The set of all vectors of the form 1 x y where x and y range over all real numbers, is a subspace of R^3. This set contains zero vector because for x=0 and y=0, we get the vector as [0,0,0]. Hence it is a subspace of R^3.

4) False The set of all vectors of the form 0 x y where x and y range over all real numbers, is not a subspace of R^3 as it doesn't contain zero vector. To have a subspace of R^3, it should contain a zero vector.

So, the correct options are:1) False2) True3) True4) False

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Step-by-step explanation:

Examples of like terms in math are x, 4x, -2x, and 7x. These are like terms because they all contain the same variable, x. The terms 8y2, y2, and -2y2 are like terms as well. These all contain the same variable, y, raised to the second power.

The function

means that the input of the function is 36 and the output is the value that we get when we input 36 onto the function r which is put on the function A.

Let's find the composite function

Now, we find the value of (A o r) (36):

So the size of contamination is approximately 3117.25 sq. m.

We want the time (t) when the size of the contamination would be 6250. Let's find it:

The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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Answer:

13 inches

Step-by-step explanation:

In any circle, the radius is always half of the diameter.

So, the diameter can be found by multiplying the radius by 2, and the radius can be found by dividing the diameter by 2.

Since the diameter is 26 inches, we can divide this by 2 to get the radius

26/2

= 13

The radius is 13 inches

Answer:

\( \bf \huge13\)

Step-by-step explanation:

we know that,

finding the radius

⟼ diameter = 26 inches

⟼ radius = diameter / 2

⟼ radius = 26 / 2 inches

⟼ radius = 13 / 1 inches

⟼ radius = 13 inches.

∴ radius is 13 inches .