Find the area of the figure

Answer:

39.   An adult male Western Banded Gecko is 5 1/2 (or 5.5) inches long.

41.    13,000 feet long, because 1 4/9 of 9,000 is 13,000.

43.  to answer the question we need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be ammended, and that is represented like this:

35/50 >= 3/4

that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify the fractions to compare easily:

35/50 >= 3/4

7/10 >= 3/4

now we need to find the least common multiplier of 10 and 4 to take the fractions to a common denominator and compare easy. Lets multiply numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:

7/10 >= 3/4

(2/2)(7/10) >= (5/5)(3/4)

2*7/2*10 >= 5*3/5*4

14/20 >= 15/20

we can see that the inequality does not hold, so,

35/50 >= 3/4

does not hold either, therefore the Constitution cannot be ammended

40.  10 students play chess and sudoku,

30*2/5 is 12, out of 12; the number of students that play chess,5/6 play sudoku.

So..12*5/6 is 10 and that is the number of students that play both sudoku and chess.

42. Four fifths of 7/8 will be less than 7/8 (because you've multiplied by a number less than 1).

Similarly, 7/8 of 4/5 will be less than 4/5.

This means that the product will be less than each of the original factors.  

answer: no

44.  The answer is 7/12 because 3/4 - 1/6= 7/12

3/4 converts to 9/12 and 1/6 converts to 2/12. The domanaters stay the same, but 9-2=7. that is how you get 7/12

Answer:

Step-by-step explanation:

\(\begin{cases}a_1=-3\\a_n=a_{n-1}\cdot\dfrac18\end{cases}\\\\\\a_2=a_{2-1}\cdot\frac18=a_1\cdot\frac18\\\\r=\dfrac{a_2}{a_1}=\dfrac{a_1\cdot\frac18}{a_1}=\dfrac18\\\\\\a_n=a_1\cdot r^{n-1}\\\\a_n=-3\cdot\left(\frac18\right)^{n-1}\)

Answer:

52in^2

Step-by-step explanation:

The area of a triangle is A= 1/2bh

The area of a rectangle is A=lw

The base of the top triangle would be the length of the base of the two right triangles plus the length of the width of the the rectangle.

A=1/2bh

A=1/2(2+2+4)(4)

A=1/2(8)(4)

A=1/2(32)

A=16in^2

        2. The two right triangles

A=1/2bh

A=1/2(2)(6)

A=1/2(12)

A=6in^2

(Because the two triangle are the same we just multiply the area by 2 to get the value of both)

A=12in^2

       3. The rectangle

A=lw

A=6(4)

A=24in^2

-

Now just add the value of the areas for the different shapes.

16in^2 + 12in^2 + 24in^2 = 52in^2

The number of minutes required to wash 12 windows is 8 4/7 minutes.

According to the given question.

You can wash one window in 15 minutes, so each minute you can wash 1/15.

Your sister can wash one window in 20 minutes, so each minute the sister can wash 1/20.

If working together you can wash 1/15 + 1/20 = 7/60.

Hence, the time required to wash 12 windows together

= 12 × 7/60

= 8 4/7 minutes.

Therefore, the number of minutes required to wash 12 windows is 8 4/7 minutes.

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When graphing the marginal product curve, the x-axis is labeled "number of workers" and the y-axis is labeled "output per worker" or "quantity."

The curve represents the additional output or quantity of goods produced as the number of workers is increased by one unit. It shows the diminishing marginal returns as the number of workers increases beyond a certain point, leading to a decrease in the marginal product of labor.

The cost per worker is not directly represented on the graph, but it can be calculated by dividing the cost of labor by the number of workers. Similarly, the cost per unit of output can be calculated by dividing the total cost of production by the quantity produced.
Hi! When graphing the marginal product curve, the x-axis is labeled "number of workers," and the y-axis is labeled "output per worker." This helps you visualize the relationship between the number of workers and their corresponding marginal product.

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The distance between the points (0, 0) and (0, 6) on the coordinate plane will be 6 units. Then the correct option is D.

The shortest distance (length of the straight line segment's length connecting both given points) between points (p, q) and (x, y) is:

D² = (x – p)² + (y – q)²

Point M is 6 units away from the origin.

Take option D assuming correct, then the point will be (0, 6)

Then the distance between the points will be

D² = (0 - 0)² + (6 - 0)²

D² = 0² + 6²

D² = 0 + 36

D² = 36

D = 6 units

Then the correct option is D.

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Answer:

3.2 miles

Step-by-step explanation:

Given the following question:

Yesterday Janice jogged 2.35 miles
Today Janice jogged 2.45 miles

\(2.45+2.35=4.8\)

Janice ran 4.8 miles in total, so if she wants to run approximately eight miles by tomorrow, she needs to run....

\(8-4.8=3.2\)

Janice needs to run another 3.2 miles if she wants to run a total of eight miles.

Hope this helps.

Answer:

y = x+5

x+2y=16

x+2(x+5)=16

x+2x+10=16

3x+10=16

16. 3x + 10 = 16

3x+10=16

    -10  -10

3x=6

Divide 3 from both sides

x=2

y=x+5

y=2+5

y=7

17. (2,7)

Answer:

y = 1/2x - 3

Step-by-step explanation:

Plug in -2 for y and 2 for x. The solve for b or "y-intercept". Then you should get -3 after that put the slope and y-intercept into the formula. I hope that helps!!!

a. The volume of the cylinder is 216π cm³  

b. The volume of the cone is 72π cm³

c. The volume of the hemisphere is 144π cm³

The volume of the cylinder is 216π cm³  

Since the hemisphere fits snugly inside the cylinder, and the radius of the cylinder is 6 cm, the radius of the hemisphere equals the radius of the cylinder. Also, the height of the cylinder equals the radius of the hemisphere.

So, the volume of the cylinder V = πr²h where

So, V = πr²h

= πr² × r

= πr³

= π(6 cm)³

= 216π cm³

So, the volume of the cylinder is 216π cm³  

The volume of the cone is 72π cm³  

Since the cone fits snugly inside the same hemisphere, the radius and height of the cone equals the radius of the hemisphere.

So, the volume of the cone V' = πr²h/3 where

So, V' = πr²h/3

= πr² × r/3

= πr³/3

= π(6 cm)³/3

= 216π/3 cm³

= 72π cm³

So, the volume of the cone is 72π cm³  

The volume of the hemisphere is 144π cm³  

Since the volume of hemisphere, V" equals the averages of the volume of the cylinder, V and volume of the cone, V'

So, V" = (V + V')/2

V" = (216π cm³ + 72π cm³)/2

V" = 288π cm³/2

V" = 144π cm³  

So, the volume of the hemisphere is 144π cm³  

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Answer:

You are absolutely correct!

Step-by-step explanation:

The correct answer is C!

Hope this helps you realize!

Answer:

C. 104

Step-by-step explanation:

First, translate 69 1/3 feet to inches. 69 1/3 * 12 = 832.

Because the lightbulbs are 8 inches apart, we can divide 832 by 8 to get 104.

Answer:

B. (2, 4)

D. (10, -1)

Step-by-step explanation:

The solution sets must be in the shaded region of the systems of inequalities. It cannot be on either lines because both lines are dotted. In that case, only B and D work because they are inside the shaded regions while the other points are not.

Answer:

B. (2, 4)

D. (10, -1)

Step-by-step explanation:

To be a solution, a point must be in the shaded part of the graph.

Answer: (2, 4), (10, -1)

Answer:

Step-by-step explanation:

co-ordinates = (6,-2) (5,-4)

slope = (y² - y¹) / (x² - x¹)

slope = (-4 - 6) / (5 - (-2))

slope = (-10) / (5+2)

slope = (-10) / 7

slope = -10 / 7

Answer:

10/7

Step-by-step explanation:

Answer:

(a)

Step-by-step explanation:

Note the expansion of (x - 5y)² is

(x - 5y)² = x² - 10xy + 25y² , that is

(x - 5y)² = x² + 25y² - 10xy ← substitute given values

(- 16)² = 416 - 10xy

256 = 416 - 10xy ( subtract 416 from both sides )

- 160 = - 10xy ( divide both sides by - 10 )

xy = 16 → (a)

Answer:

1.5m

Step-by-step explanation:

A hexagon has 6 sides,

so divide 6 by 9.0m

you get 1.5m

3x - 1 = 0 is not a quadratic equation.

A variable with the largest power of two in a quadratic equation is called a variable. Quad, which signifies square, is the root of the term quadratic. The phrase must be two times its own strength, neither higher nor lower.

Given that they are the x values for which f(x) = 0, the roots of the function f(x) = ax² + bx + c correspond to the solutions of the quadratic equation ax² + bx + c = 0.

The term ax² is known as the quadratic term (hence the function's name), the word bx is known as the linear term, and the value c is known as the constant term.

In the given equation: 3x - 1 = 0 , no ax² term is given, so it is not a quadratic equation.

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The complete question is as follows:

Is 3x - 1 = 0 a quadratic equation?

Answer:

b. To find the probability a customer who ordered pancakes came to thediner late, we need to look at the intersection of the "pancakes" row and the "late" column. This gives us a probability of 0.1, or 10%

c. To determine whether breakfast choice and meal time are independent, we need to see if the probability of one event changes based on the occurrence of the other event. In this case, it seems that breakfast choice and meal time are not independent, as the probability of being late seems to differ based on what breakfast item the customer chose. For example, the probability of being late is higher for customers who ordered pancakes compared to those who ordered cereal. Therefore, the choice of breakfast item appears to be related to the probability of being late, and so breakfast choice and meal time are not independent.

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

i took the quiz

The recursive formula for Lindsey's scores is aₙ = aₙ₋₁ \(\times\) r, and the explicit formula is aₙ \(= 67 \times r^{(n-1).\)

To find the recursive and explicit formulas for the given geometric sequence, let's analyze the pattern of Lindsey's scores.

From the given information, we can observe that Lindsey's scores are increasing at the same rate.

This suggests that the scores form a geometric sequence, where each term is obtained by multiplying the previous term by a common ratio.

Let's denote the first term as a₁ = 67 and the common ratio as r.

Recursive Formula:

In a geometric sequence, the recursive formula is used to find each term based on the previous term. In this case, we can write the recursive formula as:

aₙ = aₙ₋₁ \(\times\) r

For Lindsey's scores, the recursive formula would be:

aₙ = aₙ₋₁ \(\times\) r

Explicit Formula:

The explicit formula is used to directly calculate any term of a geometric sequence without the need to calculate the previous terms.

The explicit formula for a geometric sequence is:

aₙ = a₁ \(\times r^{(n-1)\)

For Lindsey's scores, the explicit formula would be:

aₙ \(= 67 \times r^{(n-1)\)

In both formulas, 'aₙ' represents the nth term of the sequence, 'aₙ₋₁' represents the previous term, 'a₁' represents the first term, 'r' represents the common ratio, and 'n' represents the term number.

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Answer:

JL = 11

Step-by-step explanation:

JK + KL = JL

o_____o_______________o

J   <3>   K              <8>            L

3 + 8 = 11

The volume of the cylinder is 1204.16 cubic units.

The space in three-dimension occupied by the cylinder is called the volume of a cylinder.

The formula for the volume of a cylinder is:

V = πr²h

Where V is the volume, r is the radius, and h is the height.

Substituting the given values:

V = π(8)²(6)

V = 384π cubic units

Therefore, the volume of the cylinder is 384π cubic units. If we want to get an approximate numerical value, we can use the approximation π ≈ 3.14:

V ≈ 384(3.14)

V ≈ 1204.16 cubic units

Therefore, the volume will be 1204.16 cubic units.

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Answer:

solution,

Draw a line RM parallel to line PQ and ST .And the line RM divides the angle W in two part .i.e x° and y°

<w=X+y

If RM is parallel to ST then,

<MRT=<SRT (being alternate angles)

<X=34°

If RM is parallel to PQ then,

<PQR=<MQR( being alternate angles)

52°=y

y=52°

now,

w=X+y

=34° +52°

=86°

Hope this helps...

Good luck on your assignment..

Answer:

x=-1

Step-by-step explanation:

Divide both sides by 6 you should get x-2=-3

then move the 3 infront of the 2 and make this - into this + so it should be x= -3+2

and then you get x=-1

Answer:

Solution given:

6a+[4(2 + a) +2/3 (3a)]

Substitute value

6*5+[4(2 + 5) +2/3 (3*3)]

Use BODMAS rule and solve

30+[4*7+2/3*

30+[28+6]

30+34

64

Therefore, the values of constants a, b, and c are a = -2, b = 14, and c = 10 to satisfy the given conditions.

To find the values of constants a, b, and c so that the graph of y = ax^3 + bx^2 + cx has a local maximum at x = -2, a local minimum at x = 4, and an inflection point at (1, -26), we can use the given conditions to set up a system of equations.

Condition 1: Local maximum at x = -2

To have a local maximum at x = -2, the derivative of the function at x = -2 should be equal to 0, and the second derivative should be negative.

Taking the derivative of the function, we get:

y' = 3ax^2 + 2bx + c

Evaluating the derivative at x = -2:

0 = 3a(-2)^2 + 2b(-2) + c

0 = 12a - 4b + c ... Equation 1

Taking the second derivative of the function, we get:

y'' = 6ax + 2b

Evaluating the second derivative at x = -2:

y''(-2) < 0

6a(-2) + 2b < 0

-12a + 2b < 0

6a - b > 0 ... Equation 2

Condition 2: Local minimum at x = 4

To have a local minimum at x = 4, the derivative of the function at x = 4 should be equal to 0, and the second derivative should be positive.

Evaluating the derivative at x = 4:

0 = 3a(4)^2 + 2b(4) + c

0 = 48a + 8b + c ... Equation 3

Taking the second derivative of the function:

y'' = 6ax + 2b

Evaluating the second derivative at x = 4:

y''(4) > 0

6a(4) + 2b > 0

24a + 2b > 0

12a + b > 0 ... Equation 4

Condition 3: Inflection point at (1, -26)

To have an inflection point at (1, -26), the function should satisfy the coordinates of the inflection point.

Substituting x = 1 and y = -26 into the function:

-26 = a(1)^3 + b(1)^2 + c

-26 = a + b + c ... Equation 5

Now we have a system of equations (Equations 1, 2, 3, 4, and 5) that we can solve simultaneously to find the values of a, b, and c.

Solving this system of equations, we find the values:

a = -2, b = 14, c = 10

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Answer:

mid point: (4,5)

hope that helps :)

Step-by-step explanation: