Which of the following best describes the graph of Linear Inequality in two variables?

A. Straight line
B. Parabola
C. Half plane
D. Curve line​

The measure of the angle BCD is 60 degrees.

Ok, remember that the sum of the interior angles of a triangle is always equal to 180°.

And we can write the top angle at C as:

(5x + 10) + C = 180°

C = 180 - 5x - 10

Then the sum of the interior angles gives:

3x + 3x + (180 - 5x - 10) = 180

Now we can solve that for x to get:

6x -5x - 10 = 180 - 180

x - 10 = 0

x = 10

Then the measure of BCD is:

BCD = 5x + 10

BCD = 5*10 + 10 = 60

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The nurse asks the patient about their ability to stand when preparing to measure their height and weight because it is the most accurate way to measure these physical characteristics. By asking about their ability to stand, the nurse can determine if alternative methods of measurement need to be used, and can also identify any underlying health issues that need to be addressed

When a patient is admitted to a healthcare facility, one of the first things the healthcare provider does is gather information about the patient's physical characteristics. This includes measuring the patient's height and weight.

As part of the preparation process for measuring height and weight, the nurse may ask the patient about their ability to stand. There are several reasons why this is important.

First, the most accurate way to measure height is to have the patient stand upright, with their head facing forward and their feet together. If the patient is unable to stand, the nurse may have to use alternative methods to measure height, such as a measuring tape, which may not be as accurate.

Second, standing is also the most accurate way to measure weight. If the patient is unable to stand, the nurse may have to use a bed scale, which may not provide an accurate measurement of the patient's weight.

Finally, asking the patient about their ability to stand helps the nurse to determine if there are any underlying health issues that need to be addressed. For example, if the patient is unable to stand, it may indicate that they have a mobility issue that needs to be addressed.

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The dependance on experience is reflected in the syntactic distinction between prior probability statements.

syntax refers to alphabet, while semantics refers to meaning. Syntax is the set of rules demanded to insure a judgment is grammatically correct; semantics is how one's wordbook, grammatical structure, tone, and other rudiments of a judgment coalesce to communicate its meaning. syntax is the arrangement or order of words, determined by both the pen's style and alphabet rules. consisting of or noting coinages that are combined in the same order as they would be if they were separate words in a corresponding construction The word blackberry, which consists of an adjective followed by a noun, is a syntactic emulsion.

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Step-by-step explanation:

changing 0.5 to fraction is 1/2

0.5 is equal to 1/2 as a fraction.

0.5×10 /1×10=5 / 10

5 /1 0 =  1 /2 .

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The volume of the solid obtained by rotating the region enclosed by the graphs [tex]x=y^4[/tex] and [tex]x= y^1/4[/tex] about the y-axis over the interval [0,1] is 4π/7.

[tex]V = π ∫y^4 - y^1/4 dy[/tex]

 = π ∫[tex]y^7/4 dy[/tex]

 =[tex][4π/7*y^(7/4+1)]_0^1[/tex]

 = [tex]4π/7[/tex]

To find the volume of the solid obtained by rotating the region enclosed by the graphs[tex]x=y^4[/tex] and [tex]x= y^1/4[/tex] about the y-axis over the interval [0,1], we first use the formula for the volume of a solid of revolution: V = π ∫[tex]y^2 - y^1/4 dy.[/tex] Then, we rewrite the upper limit of the integral as [tex]y^7/4[/tex]and evaluate the integral from 0 to 1. This gives us the volume as 4π/7.

The volume of the solid obtained by rotating the region enclosed by the graphs [tex]x=y^4[/tex] and [tex]x= y^1/4[/tex] about the y-axis over the interval [0,1] is 4π/7.

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Answer: [tex]ST=27[/tex]

Step-by-step explanation:

[tex]RU=\sqrt{29^2 -21^2}=20\\\\SU=\sqrt{52^2 -20^2} \implies ST=\sqrt{52^2 -20^2}-21 =27[/tex]

From the combination of 251 textbook, 92 sociology and 159 biology textbook were sold.

Let the number of biology textbook be x. So, the number of sociology textbook = 251 - x. The difference between the number of two books is 67. Representing this as equation.

Number of biology textbook = number of sociology textbook + 67

Keep the values in formula -

x = 251 - x + 67

Rewriting the equation

x + x = 251 + 67

Performing addition on both sides of the equation

2x = 318

x = 318/2

Performing division

x = 159

Number of biology textbook = 159

Number of sociology textbook = 251 - 159

Number of sociology textbook = 92

Thus, 92 sociology and 159 biology textbook 1ere sold.

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The complete question is -

A textbook store sold a combined total of 251 biology and sociology textbook in a week. The number of sociology textbook old was 67 less than the number of biology textbook sold. How many textbook of each type were sold?

in option A and B a right triangle is formed when three squares are joined at their vertices, the area of the largest square is the same as the combined area of the two smaller squares.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

A) From the given figure, side of a largest square is 17 inches, side of a larger square is 15 inches and the area of a smaller square is 64 square inches.

We know that, the area of a square is side².

The side(c) of a smaller square is side²=64

Then, c=8 units

By using Pythagoras theorem, we get

17²=15²+c²

289=225+8²

289=289

B) From the given figure, area of a largest square is 169 square inches, area of a larger square is 144 square inches and the side of a smaller square is 5 inches.

We know that, the area of a square is side².

The side(a) of a largest square is side²=169

Then, a=13 inches

The side(b) of a larger square is side²=144

Then, b=12 inches

By using Pythagoras theorem, we get

13²=12²+5²

169=144+25

169=169

Therefore, in option A and B a right triangle is formed when three squares are joined at their vertices, the area of the largest square is the same as the combined area of the two smaller squares.

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Tiana' laptop originally cot $250, but the tore offered a 20% off discount, the final place of the laptop is $216.

Let the Laptops original price be $250

But he tore the offer of 20% discount, after getting a 20% discount,

(100 - 20)% x 250

= 200

Tiana then paid also a 8% tax on this price so,

= (100+8)% x 0.8(250)

=1.08 x 200

=216

So final price be ,

P = L (0.8)(1.08)

P = 250 x 0.8 x 1.08

P = $216

A tax is a mandatory financial charge or other type of levy imposed by a government organization on a taxpayer (an individual or legal entity) to cover costs associated with running the country and other public expenditures.

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The worth at the end of the third​ year is 15,400.

Depreciation:

The purchase value of an asset is the amount that it is purchased for. The value of the asset after a certain number of years is the difference between the purchase value and the accumulated depreciation.

There is a general formula to calculate Depreciation:

Depreciation Method = (Cost of an Asset – Residual Value)/Useful life of an Asset.

Given that Cost of an Asset=25000

Residual Value=2600

The useful life of an Asset=7

Now plug the given values in the above formula:

(25,000-2,600)/7=22,400/7=3,200

DM=3,200 which is calculated annually.

For the 3 years worth:

25,000-3,200*3

25,000-9,600=15,400.

At the end of the third year, the worth is 15,400.

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The area of a rectangle is calculated by multiplying its two sides together. This is because a rectangle is a shape with four straight sides, and the area of a rectangle is the amount of space inside the rectangle.

A rectangle is a four-sided shape with four right angles and four equal sides. It is a type of quadrilateral, which means it has four sides. Rectangles are the most common type of shape and can be found in many areas of life, from art to architecture and engineering. Rectangles are sometimes referred to as geometric shapes and are used to define and measure space.

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The complete question is: How do you find an area with two sides?

The probability of Tabria randomly selecting a peanut butter cookie and then an oatmeal cookie is 8/35 or 8 in 35 chance

The probability of selecting a peanut butter cookie first is 8/29, since there are 8 peanut butter cookies and 29 total cookies of all variety in the bag. Then, the probability of selecting an oatmeal cookie after eating a peanut butter cookie is 8/28, since there are now only 28 cookies remaining in the bag and 8 of them are oatmeal cookies. To find the combined probability, we multiply the individual probabilities:

8/29 × 8/28 = 8/35.

This means there is an 8 in 35 chance that Tabria will randomly select a peanut butter cookie and then an oatmeal cookie.

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The area of the given figure in square centimeters would be = 45cm².

Since the instructions involves that the edges meet at a right angle, the area of the figure should be calculated using the area of a rectangle= Length×width.

The length of the figure= 2+3= 5cm

The width of the figure= 2+2+5= 9cm

Therefore the area of the figure= 9×5= 45cm²

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Check the picture below.

The missing values in the ratio table are:

The equivalent ratios in the order they appear in the table are:

Ratios that are the same when compared are referred to as equivalent ratios. To determine whether two or more ratios are equivalent, they can be put side by side.

An equivalent ratio is, for instance, 1 : 2 and 2:4.

Divide or multiply both amounts by the same number to arrive at an equivalent ratio. The method is the same as determining equivalent fractions.

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As per the differential equation, the value of k for which the constant function is 1.

The term called differential equation in math is defined as an equation which contains one or more terms and the derivatives of one variable

Here we know that the differential equation is

=> 4t³ dx/dt + 2x - 2 = 0

Here we have also know that x(t) = k is a solution of the differential equation.

Which means the t the value of x' = 0.

Then the value of 4t³ dx/dt = 0.

So, here we have rewritten the equation like the following,

=> 0 + 2x - 2 = 0

Here we know that the value of x = k, then we get the equation like the following,

=> 2k - 2 = 0

=> k = 1

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The values of b for the function f(x) = x² + bx + 1  has

(a) two real roots is |b| > 2 .

(b) has only one real roots is b = ±2  .

(c) has no real roots is  b < -2 or b > 2.

A Quadratic Function of the form f(x) = x² + bx + 1 has two real roots if and only if its discriminant (b² - 4ac) is positive, where a = 1, c = 1 .

So ,the discriminant can be written as ⇒ b² - 4 × 1 × 1

⇒ b² - 4.

Part (a) ; the two roots are real if and only if b² - 4 > 0,

⇒ b² > 4.

⇒ |b| > 2 .

Part (b) : function has only one real root if and only if its discriminant =0 .

⇒ b² - 4 = 0  ;

⇒ b² = 4  ;

which implies ⇒ b = ±2  .

Part (c) : function has no real root if and only if its discriminant < 0 .

⇒ b² - 4 < 0  ;

⇒ b² < 4  ;

which implies ⇒  b < -2 or b > 2.

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The probability that a randomly selected set of 3 will include 1 a and 2 b is 45/182.

Probability

The probability is equal to the variety of possible outcomes.

For instance, there is only one way to get a head and there are a total of two possible outcomes, so the probability of flipping a coin and getting heads is 1 in 2. Writing P(heads) = 12.

the total number of outcomes that could occur.

there are total 4 types of probability,

1- Classical

2- Empirical

3- Subjective.

4- Axiomatic

There are 66 equally likely outcomes, or C(9+5,3) =C(14,3)= 364 possible outcomes.

Only C(9,1) * C(5,2)= 90 of these contain 1A and 2B. thus, the likelihood is 90/364.

The value of the solution is 90/364 or 45/182.

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The value of the expression 42+6⋅52−33÷32 is 352.96

An expression is combination of variables, numbers and operators.

Remember the order of operations rules.BODMAS: parentheses first, then exponents, then multiplication, then division, then addition and subtraction is last.

= 42+6⋅52−33÷32

multiply first

= 42 + (6*52) - 33 ÷ 32

= 42 + 312 - 33 ÷ 32

division second

= 42 + 312 - 1.03125

addition next

= 354 - 1.03125

subtraction last

= 352.96875

Hence, the value of the expression 42+6⋅52−33÷32 is 352.96

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Within 100 feet of a bridge, viaduct, tunnel, intersection, or railroad grade crossing.

In contrast to crossing over or under using an overpass or tunnel, a level crossing is an intersection where a railway line crosses a road, path, or (in rare circumstances) an airport runway at the same level. The phrase also applies when a light rail line crosses a road in a similar manner but has a separate right-of-way or reserved track.

Other terms include road through railroad, criss-cross, train crossing, and RXR. They also include railway level crossing, railroad crossing (mostly international), grade crossing, or railroad crossing (primarily American) (abbreviated).

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Answer: 0.6

Step-by-step explanation:

3 divided by 5 is 0.6

0.6 x 5 = 3

3/5 = 0.6

Answer: y = -6x + 1

Step-by-step explanation:

An equation for a line written in slope-intercept form is written as y = mx + b, with m being the slope and b being the y-intercept.

When the angle of elevation from a point on the structure to its top is 40°, the building has a height to the nearest foot of 758 feet.

Offered that it has sides and three vertices, a triangle qualifies as a polygon. It belongs to the fundamental geometric shapes. Triangle ABC is the term used to refer to a triangle with the endpoints A, B, and C. When the three points are not collinear, a unique rectangle and triangle in Trigonometry are discovered. Triangles are polygons because they have three sections and three corners. The points where the four sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.

given

Using the triangles OBD and OAD and the SOH CAH TOA identity

OAD in triangle

Divide the two resulting equations to obtain the value of "x" for the triangle OBD.

The building's height must then be determined to the closest foot.

Just to refresh your memory, H = xtan50 H = 636tan50

H = 636(1.1918)

H = 757.96 feet.

Consequently, the building is 758 feet tall to the nearest foot.

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Answer: Reduce the fraction to the simplest form.

Hope this helps :)

Step-by-step explanation:

8/10

/ 2

4/5

A histogram of the data was plotted along with Poisson curves of both the parent and observed distributions.

a) The mean decay rate is 3.2 decays per minute and its standard deviation is 1.8 decays per minute. The standard deviation expected from the Poisson distribution for the mean value is 3.7 decays per minute, which is higher than the standard deviation obtained from the data.

b) The histogram and Poisson curves of both the parent and observed distributions can be seen in the figure below.

The mean decay rate of the source was found to be 3.2 decays per minute with a standard deviation of 1.8 decays per minute. The standard deviation was found to be lower than the value expected from the Poisson distribution for the mean value. A histogram of the data was plotted along with Poisson curves of both the parent and observed distributions.

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Answer:

Step-by-step explanation:

The expression representing the area covered by the pavilion can be found by multiplying the length by the width:

A = (x + 8) * (x - 4)

where A represents the area and x is the length of one of the sides.

Answer: ill explain

Step-by-step explanation:

the form for linear equations are f(x) = mx+b

b is the y-intercept (otherwise known as the place where the line crossed the y-axis)

since there is no b, the y-intercept is 0. The line with cross the point (0,0)

your problem is f(x) = x/1

x/1 is equal to 1x/1.

to graph linear functions, you do rise over run (rise/run)

in this case, you rise (go up) one unit, and run (go right) one unit since your digits are 1 and 1

Answer:The box plots for Theo’s math scores and language arts scores.

2 box plots. The number line goes from 50 to 100.

For math, the whiskers range from 55 to 90, and the box ranges from 60 to 85. A line divides the box at 80.

For language arts, the whiskers range from 50 to 90, and the box ranges from 60 to 80. A line divides the box at 70.

About 50% of Theo’s scores are in which range for each subject?

60 to 85 for math; 60 to 80 for language arts

55 to 90 for math; 50 to 90 for language arts

55 to 60 for math; 50 to 60 for language arts

85 to 90 for math; 80 to 90 for language arts

Step-by-step explanation:

the whiskers range from 55 to 90 =>   ( min 55 , max 90  , range = 90-55 = 45)

the box ranges from 60 to 85.  =>  (Q₁ = 60 and Q₃ = 85)

A line divides the box at 80   => (Q₂ = Median = 80)

For language arts,

the whiskers range from 50 to 90 => ( min 50 , max 90  , range = 90-50 = 40)

the box ranges from 60 to 80.  =>  (Q₁ = 60 and Q₃ = 80)

A line divides the box at 70.  => (Q₂ = Median = 70)

50% of Theo’s scores lies between Q₁ and Q₃

Answer:

2*7*7

Step-by-step explanation:

Answer: 2*7^2

Step-by-step explanation:

98=2*49

and 49=7^2

so 98=2*7^2