Over 5 days, Kimberly sheared 300 sheep. How many would she be able to shear in 26 days?
What was her rate per day?

Answer: -1/2

Step-by-step explanation:

-3 2/3+3 1/6=

-(3*3+2)/3 + (6*3+1)/6=

-11/3+19/6=

-22/6+19/6=

(-22+19)/6=

-3/6=-1/2

Answer:

Vertically opposite angles are equal

So

x = 75°

Vertically opposite angles are equal

So

5y = 135°

Divide both sides by 5

y = 27

Hope this helps you

The turtle’s distance from the starting point is increasing for 18 seconds, and the distance between 10 and 12 seconds, the turtle, is -10cm, and the distance between 12 and 14 seconds, the turtle, is 0 cm.

The turtle’s distance from the starting point is 16+(20-16)*1/2=16+2=18sec.

To calculate the distance between 10 and 12 seconds, the turtle is as per the graph shown below we can consider the turtle is in 12:30 cm and 10:30 cm so 30-40=-10cm

To calculate the distance between 12 and 14 seconds, the turtle is as per the graph shown below we can consider the turtle is in 14:30 cm and 12:30 cm so 30-30=0cm

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Answer:The turtle’s distance from the starting point is increasing for

✔ 10

seconds.

Between 10 and 12 seconds, the turtle’s distance is

✔ decreasing

.

Between 12 and 14 seconds, the turtle is

✔ standing still

.

Step-by-step explanation:

Answer:

4,144

Step-by-step explanation:

I have no idea what you are trying to say, but if you meant what does 592 x 7 equal to, it will be 4,144.

Check:

4,144 / 7 = 592

4,144 / 592 = 7

Hope this helped!

Have a supercalifragilisitcexpialidocious day!

Answer:

1/250

Step-by-step explanation:

5^-3 × 2^-1

Solve the powers.

1/5³ × 1/2

1/125 × 1/2

Multiply.

1/250

Answer:

0.004

Step-by-step explanation:

\(5^{-3}*2^{-1}=\\0.008*0.5=\\0.004\)

Therefore, the required solution for D is:

\(D = \frac{6V}{(A1 + A2 + (L1 + L2) * (W1 + W2))}\)

To solve for D in the equation

\(V = \frac{(D * (A1 + A2 + (L1 + L2) * (W1 + W2))}{6}\)

We can follow these steps:

Multiply both sides of the equation by 6 to eliminate the denominator:

6V = D * (A₁ + A₂ + (L₁ + L₂) * (W₁ + W₂))

Divide both sides of the equation by (A₁ + A₂ + (L₁ + L₂) * (W₁ + W₂)):

\(\frac{6V}{(A_{1}+ A_{2} + (L_{1} + L_{2}) * (W_{1} + W_{2}))} = D\)

Therefore, the solution for D is:

\(D = \frac{6V}{(A1 + A2 + (L1 + L2) * (W1 + W2))}\)

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the equivalent decimal length is ( B )

Answer:

Option B

Step-by-step explanation:

18 \(\frac{3}{8}\)

multiply the whole NO. (18) by the denominator (8), add 3 to them and then divide the result by 8

18 × 8 = 144

144 + 3 = 147

\(\frac{147}{8} = 18.375\)

Hope this helps you

The triangle PQR is an equilateral triangle

From the question, we have the following parameters that can be used in our computation:

PQ=QR.

m/P = (2x - 26) and m/R= (x+17)

When two sides of a triangle are congruent, then the triangle is an isosceles triangle

Using the above as a guide, we have the following:

2x - 26 = x + 17 --- base angles of an isosceles triangle

So, we have

x = 43

This gives

m/P = 2 * 43 - 26 = 60

m/R= 43 + 17 = 60

If two angles of a triangle measure 60 degrees, then the third angle is 60 degrees

This implies that the triangle is an equilateral triangle

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The measure of the angle Q is 46.4°

Recall that the sum of the angles of a triangle is equal to 180 degrees

We are told that

PQ = QR

Q = 100°

As PQ and QR are equal so,

By theorem angle opposite to equal sides are equal so,

We can say that angle P = angle R = X

Therefore by angle sum  property of the triangle,

angle P + angle Q + angle R = 180°

X +(2x - 26)+ (2x - 26) = 180°

This implies that 5x-52=180

Collecting like terms

5x=180+52

5X = 232°

X =46.4°

Therefore the measure of R = 40°

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The equation of the line (y+10)=4(x−3)  or  y=4x−22

We can use the point-slope formula to find an equation for this line.

The point-slope formula states: \((y-y_{1} )=m(x-x_{1} )\)

Where m is the slope and \((x_{1}, y_{1} )\) is a point the line passes through.

Substituting the values from the problem gives:

(y − −10) = 4(x − 3)

(y + 10) = 4(x − 3)

To transform this into the more familiar slope-intercept form we can solve for y:

y + 10 = (4 × x) − (4 × 3)

y + 10 = 4x − 12

y + 10 − 10 = 4x − 12 − 10

y + 0 = 4x − 22

y = 4x − 22

Hence the answer is the equation of the line is (y+10) = 4(x−3)  or  y = 4x−22

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Igor has not been skiing in 10 years. however, when he gets on his skis, his body remembers exactly how to ski. the kind of memory that makes it possible for him to remember how to ski is procedural.

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Answer:

Step-by-step explanation:

Answer:

Option 2 you welcome

explanation: I had this question a while back and I'm 100% sure that this is the right answer!

Answer:

200 ft^2

Step-by-step explanation:

The surface area of the pyramid is the sum of the area of the base and the areas of the 4 congruent triangular sides.

SA = LW + 4 * bh/2

SA = 10 ft * 10 ft + 4 * (10 ft)(5 ft)/2

SA = 100 ft^2 + 2(50 ft^2)

SA = 200 ft^2

(P.S. It's impossible to make a pyramid with these dimensions.)

Answer:

\(\boxed{\sf 200 \ feet^2}\)

Step-by-step explanation:

The 3D shape is a square-based pyramid.

The surface area of a square-based pyramid is given as:

\(\sf SA=2 \times (base \ length) \times (slant \ height) + (base \ length)^2\)

Plug in the values.

\(\sf SA=2 \times 10 \times 5 + 10^2\)

\(\sf SA=100 + 100\)

\(\sf SA=200\)

Answer: nope, Its not. :)

4

Answer:

Was the park administrator girl? I have never seen a Female park adminstrator especially one who is counting people who bring dogs.

well i think she should use a machine or ask the gaurd and give extra salary to him for counting.

An annual interest rate (APR) of approximately 6.35% would be required for $22,500 to accumulate to $50,000 in 14 years with interest compounded semi-annually.

To determine the annual interest rate (APR) required for $22,500 to accumulate to $50,000 in 14 years with interest compounded semi-annually, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the final amount ($50,000)

P = the principal amount ($22,500)

r = the annual interest rate (APR)

n = the number of times interest is compounded per year (2 for semi-annual compounding)

t = the number of years (14)

We can rearrange the formula to solve for r:

r = ( (A/P)^(1/(nt)) ) - 1

Substituting the given values into the formula, we have:

r = ( (50000/22500)^(1/(2*14)) ) - 1

r ≈ 0.0635

To express the annual interest rate as a percentage, we can multiply by 100:

r ≈ 6.35%

Therefore, an annual interest rate (APR) of approximately 6.35% would be required for $22,500 to accumulate to $50,000 in 14 years with interest compounded semi-annually.

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Answer:

Step-by-step explanation:

At the end of practice, Joseph will need to run another 1.75 miles or 1 3/4 miles.

To determine this we need to subtract the amounts he already has run during practice from the goal of 3 miles.

3 miles - 1/2 miles - 1/4 miles - 1/4 miles - 1/4 miles = 1.75 miles

Answer:

x = 21/4

x = 5  1/4

Step-by-step explanation:

Hi there !

- 3/4 = x - 6

- 3 = 4(x - 6)

- 3 = 4x - 24

4x = 24 - 3

4x = 21

x = 21/4

x = 5  1/4

Good luck !

Answer:

(3,4,5) is the answer

Step-by-step explanation:

Answer:

The point on the vertical axis (y-axis) represents the y-intercept.

It represents the height over the sea level at the starting point of hiking

Step-by-step explanation:

From the graph

→ The point on the vertical axis (y-axis) represents

→ Which means it represents their height at 0 hour

→ The real-world meaning of that point is:

The point on the vertical axis (y-axis) represents the y-intercept.

It represents the height over the sea level at the starting point of hiking

The given values are 2,6,5,3,0,3,4,3,2,4,5,2,4

There are the following values as shown in the given data.

To find the mode first we have to assign each value that how many times it appears.

1. 2-3 the number 2 appears only Three times.

2. 6-1 the number 6 appears one time.

3. 5-2 the number 5 appears only two times.

4. 3-3 the number 3 appears only three times.

5. 0-1 the number 1 appears only one time.

6. 4-3 the number 4 appears only Three times.

So, the mode of the given data is 4,3,2 as it appears the most number of times.

If a given set of values with two modes is bimodal, a given set of numbers with three modes is trimodal, and any set of numbers with more than one mode is multimodal.

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The midline of f is y = 0, the amplitude is 4, and the period is 4π. The graph of the function f(θ) will show a sine wave oscillating between y = 4 and y = -4 with a period of 4π.

The given function is f(θ) = 4sin(0.5θ).

To determine the midline of the function, we need to find the average value of f(θ) over one period. The average value of the sine function is zero over one complete cycle. Therefore, the midline of f(θ) is the horizontal line y = 0.

The amplitude of a sine function is the maximum value it reaches above or below the midline. In this case, the coefficient of the sine function is 4, which means the amplitude of f(θ) is 4. This indicates that the graph of the function will oscillate between y = 4 and y = -4 above and below the midline.

To find the period of the function, we can use the formula T = 2π/|b|, where b is the coefficient of θ in the sine function. In this case, b = 0.5, so the period of f(θ) is T = 2π/(0.5) = 4π.

Now, let's graph the function f(θ). Since the midline is y = 0, we draw a horizontal line at y = 0. The amplitude is 4, so we mark points 4 units above and below the midline on the y-axis. Then, we divide the x-axis into intervals of length equal to the period, which is 4π.

Starting from the midline, we plot points that correspond to different values of θ, calculating the corresponding values of f(θ) using the given function.

The resulting graph will be a sine wave oscillating between y = 4 and y = -4, with the midline at y = 0. The wave will complete one full cycle every 4π units on the x-axis.

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Answer:

\({ \tt{ - {2b}^{2} - 18 {b}^{2} }} \\ = - {20 {b}^{2}} \)

Answer:

a. y=4x-3

b. y=x+3

c. y=3/2x+6

d. y=-2/3x+2

Step-by-step explanation:

a. y-4x=-3

  +4x     +4x

y=4x+3

b. 3y-3x=9

÷3           ÷3

y-x=3

y=x+3

c. 3x+2y=12

2y=3x+12

y=3/2x+6

d.

2(x-3)+3y=0

2x-6+3y=0

3y=-2x+6

y=-2/3x+2

Answer:

2/9 and 3/12

Step-by-step explanation:

2/9 = 8/36

3/12 = 9/36

To find the critical points at which profit is maximized given the total revenue TR = 4700 - 302 and total cost TC = 320/10,500, we need to compute the marginal revenue and marginal cost, equate MR = MC to find the optimal quantity Q∗, verify if Q∗ is a relative maximum point, and compute the maximum profit level (π) by evaluating π∗ = 9(π(Q∗)).

Marginal Revenue (MR) is the derivative of the total revenue function with respect to quantity (Q). In this case, MR = dTR/dQ. By taking the derivative of TR = 4700 - 302 with respect to Q, we can find the expression for MR.

Marginal Cost (MC) is the derivative of the total cost function with respect to quantity (Q). In this case, MC = dTC/dQ. By taking the derivative of TC = 320/10,500 with respect to Q, we can find the expression for MC.

To find the optimal quantity Q∗, we equate MR and MC by setting MR = MC and solve for Q. This is because profit is maximized when MR equals MC.

Once we have found Q∗, we need to verify if it is a relative maximum point. This can be done by checking the second derivative of the profit function and determining if it is negative at Q∗. If the second derivative is negative, it confirms that Q∗ is a relative maximum point.

Finally, to compute the maximum profit level (π∗), we evaluate π(Q∗) by substituting Q∗ into the profit function. In this case, we can multiply the value of π(Q∗) by 9 to obtain the maximum profit level (π∗).

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Answer: 6

Step-by-step explanation:

just plug two into the equation

The winner of the race finished the race in eleven twenty-fourths(11/24) minutes which is option B

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

Kyla finished her race in 1 3/8 minutes.

converting this to improper fraction, we have 11/8 minutes

The winner of the race finished in 1/3 of Kyla's time which is 1/3 x 11/8

= 11/24 minute

The winner of the race finished in 11/24 minute.

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