Which one doesn't belong? Why?

The value of side length w is 13.75 .

Given right angled triangle,

Perpendicular = w

Hypotenuse = 17

Angle of triangle = 54°

So,

According to the trigonometric ratios,

tanФ = p/b

cosФ = b/h

sinФ = p/h

By using sinФ,

sinФ = p/h

sin 54° =  w/ 17

0.809 = w/17

w = 13.75 .

Thus after correction w will be 13.75

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Answer:

x=1

Step-by-step explanation:

4.3x + 0.7 = 5

Subtract .7 from each side.

4.3x + 0.7.-.7 = 5-.7

4.3x = 4.3

Divide each side by 4.3

4.3x /4.3 = 4.3/4.3

x =1

Answer:

4 hours

Step-by-step explanation:

63-35=28 28 divided by 7= 4

Answer:

Yes

Step-by-step explanation:

\(y=-2^x\)

Yes, this is an exponential function.

The formula for an exponential function is \(f(x) =e^x\), and the equation fits this equation.

Answer:

8 (sorry if i got it wrong)

Heating and cooling curves are graphical representations that show how the temperature of a substance changes over time during the process of heating or cooling.

Heating curves and cooling curves are typically plotted with time on the x-axis and temperature on the y-axis. The curves consist of different segments that correspond to specific changes in the substance's temperature. During the heating process, the substance absorbs heat, causing its temperature to increase. The curve typically shows a gradual rise in temperature until reaching the melting or boiling point, where a plateau appears. The plateau indicates a phase change occurring, such as the substance changing from a solid to a liquid or from a liquid to a gas. After the phase change, the temperature continues to rise again.

Similarly, during the cooling process, the substance releases heat, causing its temperature to decrease. The curve shows a gradual decrease in temperature until reaching a plateau, indicating a phase change in the reverse direction. Once the phase change is complete, the temperature continues to decrease.

Heating and cooling curves provide important information about the specific heat capacity, heat of fusion, and heat of vaporization of a substance. They are commonly used in fields such as chemistry and thermodynamics to analyze and understand the behavior of materials during heating and cooling processes.

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the composite function that can be used to determine the height, in meters, of the flare at any given time is:
h_meters(t) = 0.3048 * h(t)

To determine the height of the flare in meters at any given time, we can use the composite function. The composite function is obtained by converting the height in feet to meters.

The conversion factor to convert feet to meters is 0.3048. So, we can multiply the height in feet by 0.3048 to get the height in meters.

Therefore, the composite function that can be used to determine the height, in meters, of the flare at any given time is:

h_meters(t) = 0.3048 * h(t)  Where h(t) is the height of the flare in feet, and h_meters(t) is the height of the flare in meters.

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The answer is "The height of the building is 400 feet. A tall pole casts a long shadow. Also, a nearby building casts a long shadow. We need to find the height of the building.

Given, a tall pole casts a long shadow. Also, a nearby building casts a long shadow. We need to find the height of the building. A shadow is formed when an object obstructs light. If we measure the shadow and know the height of the object that cast it, we can determine the height of other objects that cast the same shadow.

Let's assume the height of the tall pole is x. It casts a long shadow. If we measure the length of the shadow, let's say it is y. We can then use the following proportion to find the height of the nearby building.

h/p = s/q

where h is the height of the building, p is the length of the shadow of the building, s is the height of the pole, and q is the length of the shadow of the pole. Now we can substitute the given values and solve for h.

x/y = s/qx/y = x/px = y*px = 20*7x = 140 feet

Therefore, the height of the pole is 140 feet. To find the height of the building, we need the length of the shadow of the building. Since it is given that the building casts a long shadow, we can assume that it is the same length as the shadow of the pole, which is 140 feet. Using the same proportion, we can find the height of the building.

h/p = s/qh/140 = 20/7h = (20/7)*140h = 400 feet

Therefore, the building is 400 feet tall. Hence, the answer is "The height of the building is 400 feet.

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Answer:

129723

Step-by-step explanation:

\(1800(1+0.13)^{35} \approx 129723\)

The best findings that support the hypothesis that NPY is necessary for the generation of the preovulatory LH surge include studies that show NPY acting on neurons in the hypothalamus, which is a critical brain region involved in regulating reproductive functions.

Additionally, experiments in animals have shown that disrupting NPY signaling can prevent the preovulatory LH surge and ovulation. Finally, clinical studies in women have found that alterations in NPY levels or activity can lead to menstrual irregularities and infertility, further supporting the role of NPY in ovulation.
To best support the hypothesis that NPY (neuropeptide Y) is necessary for the generation of the preovulatory LH (luteinizing hormone) surge, which triggers ovulation, scientists would need to find evidence such as:

1. A positive correlation between NPY levels and LH surge timing, indicating that higher NPY levels are associated with the initiation of the LH surge.
2. Experimental manipulation of NPY levels leading to changes in LH surge and ovulation, showing a cause-and-effect relationship between NPY and the hormonal event.
3. Identification of NPY receptors on the gonadotropin-releasing hormone (GnRH) neurons, which are responsible for releasing LH, suggesting a direct mechanism of action.

These findings would provide strong evidence for the proposed role of NPY in the generation of the preovulatory LH surge and ovulation.

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Answer:

not simplified:12/14

reduced/simplified:6/7

Step-by-step explanation:

1/2 ÷ 7/12 =1/2×12/7=

1×12

-- -- = 12/14

2×7

and if simplified then you just do

12÷2=6

----

14÷2=7

In a survey of 232 professional athletes, 23 athletes do not own any of the three items. 49 owns a convertible and a tv, but not a store. 163 athletes owns a convertible or a tv. 109 athletes owns exactly one type of item in the survey. 209 athletes owns at least one type of item in the survey. 55 owns a tv or a store, but not a convertible.

Using Venn diagram, a diagram used to present the relationship between sets in a logical form, we analyze the given information.

athletes who do not own any of the three items = 232 - (121 + 100 + 93) +(54 + 38 + 18) - 5 = 23

athletes who owns a convertible and a tv, but not a store = 54 - 5 = 49

athletes who owns a convertible or a tv = (121 + 93) - (18 + 38 - 5) = 163

athletes who owns exactly one type of item in the survey = (121 - 54 - 18 + 5) + (100 - 38 - 54 + 5) + (93 - 18 - 38 + 5) = 109

athletes who owns at least one type of item in the survey = 121 + 100 + 93 - 54 - 38 - 18 + 5 = 209

athletes who owns a tv or a store, but not a convertible = (100 - 54 -38 + 5) + (93 - 18 - 38 + 5) = 55

See attached photo for reference.

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Answer:

\(\frac{17\pi }{6}\)

Step-by-step explanation:

To convert from degrees to radians

radian = degree measure \(\frac{\pi }{180}\)

           = 510 × \(\frac{\pi }{180}\)

           = \(\frac{51\pi }{18}\)

           = \(\frac{17\pi }{6}\) radians

510 degrees is equal to (17π / 6) radians, which is determined by using the fact that 180 degrees is equal to π radians.

The given angle is  510°.

To convert 510 degrees to radians, we can use the fact that π radians is equivalent to 180 degrees.

First, we convert 510 degrees to radians by setting up a proportion:

180 degrees = π radians

510 degrees = x radians

Solving for x, we find:

x = (510 degrees) * (π radians / 180 degrees)

Simplifying the expression, we have:

x = (17π / 6) radians

Therefore, 510 degrees is equal to (17π / 6) radians.

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Answer:

8x+4 and 2x-4

Step-by-step explanation:

We are going to use factoring to make equivalent expressions. What you do is you take the number next to the parenthesis and multiply it with what is inside the parenthesis. So it would be 8x+4 and 2x-4. Hope this helps! :)

Step-by-step explanation:

2x+4=20 => 2x=16 => x=8.

therefore putting the value of x in 4x+5.

=> 4x+5=> 32+5 => 37.(D).

Therefore, option D is correct answer.

Answer:

D) 37

Step-by-step explanation:

2x + 4 = 20

2x = 20 - 4

2x = 16

x = 8

4(8) +5

= 32 + 5

= 37

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The area of one petal of the rose curve r = 5 sin(2θ) is π/16 square units. The calculation involves integrating 1/2 r^2 dθ from 0 to π/4, where r = 5 sin(2θ).

To find the area of one petal of the rose curve r = 5sin(2θ) over limit of [0, π/4], we use the formula for the area in polar coordinates

A = (1/2 \(\int\limits^a_b\) (f(θ))^2 dθ.

Substituting f(θ) = 5sin(2θ), a = 0 is upper limit of integral, and b = π/4 is lower limit of integral, we get

A = (1/2)\(\int\limits^0_\(\pi /4\) (5sin(2θ))^2 dθ

= (1/2)\(\int\limits^0_\(\pi /4\) 25sin^2(2θ) dθ

= (1/2)\(\int\limits^0_\(\pi /4\) (1 - cos(4θ))/2 dθ

= (1/4)\(\int\limits^0_\(\pi /4\) (1 - cos(4θ)) dθ

evaluating the limit

= (1/4)(π/4 - (1/4)sin(π))

Simplifying, we get

A = (1/16)(π - sin(π))

= (1/16)(π - 0)

= π/16

Therefore, the area of region of one petal of the rose curve is π/16 square units.

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Answer

slope of 4x - 5: m = 4

Answer:

7g+14h

Step-by-step explanation:

hope it helped you

Answer:

7g + 14h

Step-by-step explanation:

What is an equivalent expression?

7(g + 2h)

7(g) + 7(2h) <== multipe both terms by 7

7g + 14h

Hope this helps!

The standard deviation eliminates the drawback of having the measure of dispersion in squared units rather than in the original measurement units. This is because the standard deviation is calculated by taking the square root of the variance, which is in squared units. So, the standard deviation gives a measure of dispersion in the same units as the original measurements.
Hi! The option that eliminates the drawback of having the measure of dispersion in squared units rather than in the original measurement units is a. standard deviation. This is because standard deviation is the square root of variance, which brings the measurement back to the original units.

The option that eliminates the drawback of having the measure of dispersion in squared units rather than in the original measurement units is the standard deviation. option A

Scattering alludes to the spread or changeability of information focuses in a dataset.

Variation could be a degree of scattering, but it is calculated by squaring the contrasts between each information point and the cruel. As a result, the variation is communicated in squared units, which may not be straightforwardly interpretable or significant within the setting of the initial estimation units.

The standard deviation, on the other hand, is the square root of the change. By taking the square root, it brings the degree of dispersion back to the initial estimation units, making it more effortlessly interpretable and comparable to the first information.

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In the ratio of 2:6 , Lacey will get 6 cards and Martha will get 18 cards

Total number of cards = 24

Let Lacey gets "x" numbers of cards and Martha gets "y" numbers of cards

Ratio of cards given to Lacey to Martha = 2:6

x:y = 2:6

and we also know that total cards are 24

x + y = 24

x = 24 - y

putting value of x in the ratio,

\(\frac{24 - y}{y} = \frac{2}{6}\\\)

cross multiplication,

6(24 - y) = 2y

144 - 6y = 2y

8y = 144

y = 18

Substituting value of y ,

x = 24 - 18

x = 6

Hence , Lacey will get 6 cards and Martha will get 18 cards.

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The equation in function notation is f(x) = 5x - 4, and the solution of the Function when x = 5 is 21.

Function notation is the process of writing down a function in terms of its input variable. It is a way of representing a function in which input values are substituted for the variable and the resulting output values are determined. This can be represented in the form of a formula using a combination of mathematical symbols and expressions.
The given equation is y = 5x - 4, we can write it in the form of a function using the function notation as:
f(x) = 5x - 4
Here, f(x) represents the output of the function, which is the value of y for a given input x.
To solve the function for x = 5, we simply substitute the value of x in the equation and evaluate the function.
f(5) = 5(5) - 4
= 25 - 4
= 21
Therefore, the solution of the function f(x) = 5x - 4, when x = 5, is 21.
The function can be graphed using the ordered pairs (x, y) where x is the input variable and y is the output of the function. To graph the function, we can plot the ordered pairs on the Cartesian coordinate plane and draw a line that passes through them.
The graph of the function f(x) = 5x - 4 is a straight line with a slope of 5 and a y-intercept of -4. It passes through the point (0, -4) and has a slope of 5/1 or 5.
Therefore, the equation in function notation is f(x) = 5x - 4, and the solution of the function when x = 5 is 21.

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Answer:

8 miles

Step-by-step explanation:

We start by calculating the distance between the two points

To calculate this, we use the distance formula

Let the distance be D

We have the formula as;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(-2+2)^2 + (-5-3)^2

D = √(64)

D = 8 units

Since 1 unit is 1 mile,

then 8 units will be 8 * 1 = 8 miles

the relationship is a function because she "made up time".

A relation that states that there should only be one output for each input are called a function. alternatively, a function is a particular kind of relation—a set of ordered pairs—that adheres to a specific rule—each X-value should be associated with only one y-value.

if a relation is one-to-one or many-to-one it is a function.

Function            Not a Function

one-to-one        many-to-many

many-to-one     one-to-many

In the above-mentioned scenario, She basically made up for the time she had spent standing at the location by increasing her pace. Since she picked up the pace, you can assume that she completed the task in the same amount of time as if she had not stopped.

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Answer:

c

Step-by-step explanation:

Answer: Choice A.

Knowing that 5^2 + 12^2 = 13^2, draw the 5 cm side and the 12 cm side with a right angle between them. The 13 cm side will fit to form a right triangle.

The diagram is shown below.

The converse of the pythagorean theorem states that if a^2+b^2 = c^2, then we have a right triangle with hypotenuse c. The hypotenuse is always the longest side and always opposite the 90 degree angle.

Note how 5^2+12^2 = 25+144 = 169 while 13^2 = 169, so that shows how 5^2+12^2 = 13^2 is true.

Answer:

yes for the final exam its A

Step-by-step explanation:

The first derivatives for the given functions are:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For  \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.

For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.

For the function\(y = 3x^2 + 5x + 10:\)

Taking the derivative term by term:

\(d/dx (3x^2) = 6x\)

d/dx (5x) = 5

d/dx (10) = 0

Therefore, the first derivative is:

dy/dx = 6x + 5

For the function y = 100200x + 7x:

Taking the derivative term by term:

d/dx (100200x) = 100200

d/dx (7x) = 7

Therefore, the first derivative is:

dy/dx = 100200 + 7 = 100207

For the function \(y = ln(9x^4):\)

Using the chain rule, the derivative of ln(u) is du/dx divided by u:

dy/dx = (1/u) \(\times\) du/dx

Let's differentiate the function using the chain rule:

\(u = 9x^4\)

\(du/dx = d/dx (9x^4) = 36x^3\)

Now, substitute the values back into the derivative formula:

\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)

Therefore, the first derivative is:

dy/dx = 4/x

To summarize:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For y = 100200x + 7x, the first derivative is dy/dx = 100207.

For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

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Answer:

Supplementary

Step-by-step explanation:

Buy the land !all angles will be greater than 30 °

Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circular functions) that make up trigonometry.

A branch of mathematics called trigonometry examines connections between triangles' sides and angles. Due to the fact that every straight-sided shape can be decomposed into a group of triangles, trigonometry can be found throughout all of geometry.

cos x = 500²+800²-900²/-2(800)(900)

x = \(cos^{-1}\)(+1200000/+1440000)

=336°

Buy the land !all angles will be greater than 30 °

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For a sale of $8400 made his gross pay is $373.21

In this question, we have been given Mike Lasueze is guaranteed a minimum salary of $220 per week or 5.5 percent of his total sales, whichever is greater.

We need to find his gross pay for a week in which his total sales were $8,400

weekly pay = $220

commission = 5.5% of sales

                    = 0.055 of sales

Let m be the total sale and his gross pay be represented by y.

So, we get an equation for the total/gross pay:

y = 0.055x + 220

Required is the gross pay y for x = 8400

y = 0.055(8400) + 220

y = 682

Therefore, for a sale of $8400 made his gross pay is $373.21

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Answer:

4/5 of his crop

Step-by-step explanation:

1/4 of an hour which is 60 minutes is 15 minutes mean 1/5 of his crop is planted in 15 minutes x 4 = 4/5 of his crop is planted within a 60 minute span