In the diagram, the area of
the shaded region is

Answer:

-8m

Step-by-step explanation:

This question only requires to to substitute t = 0 and t = 1 into the equation to find the displacement.

Lets find the displacement at t = 0.

[tex]x(0)=4sin(\pi (0)+\frac{\pi }{2} )\\=4sin(\frac{\pi }{2} )\\= 4m[/tex]

Lets find the displacement at t = 1.

[tex]x(1) = 4sin(\pi (1)+\frac{\pi }{2} )\\=4sin(\pi +\frac{\pi }{2} )\\=-4m[/tex]

Total displacement = Final Position - Initial Position

= x(1)-x(0)

= -4m - 4m

= -8m

A cubic function is known as a function whose graph is in the shape of a horizontal S.

The graph that meets these requirements is the graph D.

Answer: D, (272,127)

Step-by-step explanation:

sorry it’s late but just took it on edge

Answer:

i need help

Step-by-step explanation:

The sequence is neither geometric nor arithmetic

The sequence is given as:

7, 9, 10, 12, ....

Calculate the common difference to determine if the sequence is arithmetic;

d = 12- 10 = 10 - 9 = 9 - 7

Evaluate

d = 2 = 1 = 2

The above is false because 2 and 1 are not equal.

So, the sequence is not arithmetic

Calculate the common ratio to determine if the sequence is geometric;

r = 12/10 = 10 /9 = 9/7

Evaluate

r = 1.2 = 1.11 = 1.29

The above is false because the numbers are not equal.

So, the sequence is not geometric.

Hence, the sequence is neither geometric nor arithmetic

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Women can be seated in 89 ways.

Let Sn be the number of possible seating arrangements with n women. Consider n≥3 and focus on the rightmost woman. If she goes back to her seat, then there are Sn−1 ways to seat the remaining n−1 women. If he is sitting in the penultimate seat, then the woman who was sitting there before must now sit in the rightmost seat.

This gives us Sn−2 ways to seat another n−2 woman, so we get the recursion Sn=Sn−1+Sn−2. Starting with S1=1 and S2=2 we can calculate S10=89.

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Answer:

142318 trees

Step-by-step explanation:

8254x17=140318

Answer:

Let R be the radius of the tank, H(t) the height of the water at time t, and V(t) the volume of the water. The quantities V(t), R and H(t) are related by the equation

V(t) = πR²H(t) ___(1)

The rate of increase of the volume is the derivative with respect to time,

dV/dt

and the rate of increase of the height is

dH/dt

We can therefore restate the given and the unknown as follows

Given:

dV/dt = 4m³/min

Unknown:

dH/dt

Now we take derivative of each side of (1) with respect to t:

dV/dt = πR²dH/dt

So

dH/dt = 1/πR²dV/dt

Substituting R = 3 m and dV/dt = 4m³/min we have

dH/dt = 1/π(3)² ⋅ 4 = 4/9π

Answer: the height of the water increasing at a rate of

dH/dt = 4/9π²

The class spends $1436.4 per year on pizza. Since the population grows x² in one year, the strength of the class on the last day of the year is 12² = 144.

It is given that,

The current population of the classroom is 12. I.e., x = 12

So, at the end of the year, the population of the class = x²

⇒ 12² = 144

Thus, the population of the classroom on the end day of the year is 144.

It is given that,

On the last day of the year, each person in the classroom eats 3 slices of pizza.

So, 144 persons eat,

144 × 3 = 432 slices of pizza

Thus, 432 slices of pizza are required for the given population.

It is given that,

A single pizza has 8 slices and every single pizza costs $26.60.

Since there are 432 slices, then the number of pizzas

= 432/8

= 54 pizzas

Then, the cost of 54 pizza's = 54 × $26.60 = $1436.4

Therefore, $1436.4 was spent on pizza per year.

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The thing that I notice about the two triangles in terms of their size and shape is that they  that is the triangles tend to appear to be of the same size and shape.

Congruent triangles are known to be triangles that are said to have both the same shape and also of the same size for the two triangles.

Note that in the case above, we need to understand that the factors of a triangle are composed of 3 angles and the 3 facets and when you put the three together following the description given, a Congruent triangle will be formed.

Therefore, The thing that I notice about the two triangles in terms of their size and shape is that they  that is the triangles tend to appear to be of the same size and shape.

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Based on the triangle midpoint theorem, the statement which must be shown is that: B. the length of GH is half the length of KL.

Triangle midpoint theorem states that the line segment which joins the midpoints of two (2) sides of a triangle is parallel to the third side, and it's congruent to one-half of the third side.

Based on the triangle midpoint theorem, we can infer and logically deduce that the statement which must be shown is that the length of GH is half the length of KL.

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Answer:  B. The length of GH is half the length of KL.

Step-by-step explanation:   TRUST ME!  The answer is correct on Edge.  :)

The statement which is true is  ΔGHI ~ ΔGJK.

This is commonly used in geometry to describe a function which moves object at distances.

This therefore means that translation of ∠I onto ∠K means shifting of point I to point K.

The triangles given are HGI and JGK.

Translation in this scenario therefore means that the triangles are similar only if other angles are mapped to their corresponding angles.

It confirms that ΔGHI ~ ΔGJK thereby making it the most appropriate choice.

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Answer:

ΔGHI ~ ΔGJK

Step-by-step explanation:

Answer:

1: Slope intercept form is y=mx+b, where m is slope and b is the y-intercept. We can use this form of a linear equation to draw the graph of that equation on the x-y coordinate plane.

2: We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal. If we subtract the same number from both sides of an equation, both sides will remain equal.

A: For example: If you pay 30 dollars a month for your cell phone and 10 cents per minute of usage the monthly cost of using your cell phone would be a linear equation of a function, C, the monthly cost based on the number of minutes you use monthly.

Answer:

Option 3 is the correct answer :)

Step-by-step explanation:

The reciprocal relationship of the graph is graph (a)

The reciprocal relationship implies that:

The x and the y axes are swapped.

When the x and the y axes are swapped, the value on both axes swap their positions

As per the given graph, the reciprocal relationship is represented by graph (a)

This is shown in the attached graph

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Answer:

uhhh i think its a carrot

Step-by-step explanation:

Answer: 1/3

Step-by-step explanation:

7/21=1/3

The trigonometric function gives the ratio of different sides of a right-angle triangle. The given problems can be solved as given below.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

1st.) x = 5 /Sin(30°)

x = 10

!) sin(45°) = 4/x

x = 4/sin(45°)

x = 4√2

I) Cos(45°) = √3 / x

x = √3 / Cos(45°)

x = √6

E) Tan(60°) = 3√3 / x

x = 3√3 / 3

W) For isosceles right-triangle, the angle made by the legs and the hypotenuse is always 45°.

x = 45°

N) x² + x² = (7√2)²

x = 7

V) Tan(60°) = 7 / x

x = 7√3/3

K) x² + x² = (9)²

x = 9/√2

Y) Sin(60°) = 7√3/x

x = 14

M) Sin(30°) = x/11

x = 11/2

T) Sin(45°) = x/√10

x = √5

A) x + 2x + 90° = 180°

x = 30°

O) Sin(45°) = √2 / x

x = 2

R) Tan(30°) = x / 4

x = 4/√3 = 4√3 / 3

S) Sin(60°) = x / (10/3)

x = 5√3 / 3

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70 grams of protein are needed per day by a male non-athlete, weighing 87 kilograms.

87 kg x 0.8 g protein/kg/day

= 69.6 g protein/day,

Rounded up to 70 g/day.

Maximum American adults eat approximately a hundred grams of protein consistent with a day or roughly two times the advocated amount. Even on a vegan weight-reduction plan people can effortlessly get 60 to eighty grams of protein for the duration of the day from foods like beans, legumes, nuts, broccoli, and entire grains.

The encouraged Dietary Allowance (RDA), which is the minimal amount you want to be healthy, is 0.8 grams in line with a kilogram (zero.36 grams consistent with pound) of body weight in keeping with day 46 grams for a median woman.

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The equation that represents the graph is g(x) = |x – 1| + 3. Then the correct option is C.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The graph is shown.

In the graph, the mode function is given.

If the subtracts 1 from the variable then the function gets shifted toward the right and if 3 is added to the function then it gets shifted upwards.

Then the correct equation that represents the graph is g(x) = |x – 1| + 3.

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Answer:

Step-by-step explanation:

The equation that represents the graph is g(x) = |x – 1| + 3. Then the correct option is C.

What is a function?

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The graph is shown.

In the graph, the mode function is given.

If the subtract 1 from the variable then the function gets shifted toward the right and if 3 is added to the function then it gets shifted upwards.

Then the correct equation that represents the graph is g(x) = |x – 1| + 3.

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Answer:

C(t) = 9t + 14

Step-by-step explanation:

write two equations with the given information

x + 6y = 68

x + 3y = 41

(x and y are just random variables, with x being the number of credits from high school and y being the number of credits earned each semester)

subtract (x+3y=41) from (x+6y=68) to get 3y=27

y = 9

then plug back in to one of the equations to find x

x + 3(9) = 41

x + 27 = 41

x = 14

then write the equation for C(t)

C(t) = 9t + 14

because you start with 14 credits from high school then add 9 credits for each semester taken

The graphs to use are box plots, histogram and dot plots

From the question, the most important factors are:

Using the box plots, histogram and dot plots, one would see the shape and the spread.

While the stem and leaf plot would show specific data values

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Answer:  D, B, C, A

Step-by-step explanation:

A: [tex]4^5 = 1024[/tex]

B: [tex]6^2=36[/tex]

C: [tex]5^3=125[/tex]

D: [tex]9[/tex]

D, B, C, A

Answer:

- Please see the attached picture for full solution!:)

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Answer: there's no orange fish

Answer:

The 2nd one.

Step-by-step explanation:

The 2nd one is a quadratic function as it is a parabola.

Answer:

[tex]1.\ x^2+y^2=5^2.\\2.\ y^2=9-x.\\3.\ y=2x-2.[/tex]

The sum of measures of angles A and B is 90°

Hence the angles are complementary

Answer:

[tex]n=0.001[/tex]

Step-by-step explanation:

[tex](2\times10)+(5\times1)+(3\times n)=25.003\\\\\implies 20 + 5 + 3n = 25.003\\\\\implies 3n+25=25.003\\\\\implies 3n+25-25=25.003-25\\\\\implies 3n = 0.003\\\\\implies n=0.001[/tex]

The total expenditure is Rs 72,000.

The total expenditure can be determined using this equation:

(total amount spent on a good x total value of circle) / degree of the sector of good

(8000 x 360) / 40 = Rs 72,000

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Answer:

P' (- 3, 4 ) , Q' (2, 7 )

Step-by-step explanation:

the line passing through the origin and (4, 4 ) has equation

y = x

a point reflected in the line y = x

(x, y ) → (y, x ) , then

P (4, - 3 ) → P' (- 3, 4 )

Q (7, 2 ) → Q' (2, 7 )

The test static value is 1.44 and its associated p-value is 0.1335.

Given that the problem deals with the concept of test for single proportion. The parameter of the interest is the population proportion of graduates with GPA of 3.00 or below is less than 0.09.

Let the population proportion be p=0.09.

Let the number of graduates in a sample be n=260.

Let the number of students have a GPA of 3.00 or below be x=20.

Based on the known data, the null and alternative hypothesis are,

H₀:p≥0.09

H₁:p<0.09

The sample proportion of students have a GPA of 3.00 or below is,

[tex]\begin{aligned}\hat{p}&=\frac{x}{n}\\ &=\frac{20}{260}\\ &=0.07\end[/tex]

Under the null hypothesis, the test static value is,

[tex]\begin{aligned}z&=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}\\ &=\frac{0.07-0.09}{\sqrt{\frac{0.09(1-0.09)}{260}}}\\ &=\frac{-0.02}{0.018}\\ &=-1.11\end[/tex]

The p-value for the left-tailed test is

p-value=p(z<-1.11)

p-value=0.1335

Hence, the value of the test statistic and its associated p-value for the proportion of graduates with a GPA of 3.00 or below is less than 0.09. are 1.44 and 0.1335.

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