9.- Un pastor colocó ovejas en corrales. En un corral colocó 7 ovejas, en el
segundo y en el tercer corral colocó múltiplos de 7. Si en total colocó 63
ovejas, sabiendo que donde más ovejas, fue en el tercer corral.
¿Qué cantidad de ovejas pudo colocar en los corrales 2 y 3?

Answer: \(x\geq 4\)

Step-by-step explanation:

Solving inequalities is just like solving an equation. The algebra is the same, but you just have to remember the symbol used.

(just remember to flip the sign if you ever divide by a negative number)

Here are the steps to solve this problem:

\(\frac{8x+3}{5}\geq 7\)

Multiply both sides by 5: \(8x+3\geq 35\)

Subtract both sides by 3: \(8x\geq 32\)

Divide both sides by 8: \(x\geq 4\)

\(x\geq 4\) is the final answer.

Answer:

(938>926) 900+38>900+26, 930+8>920+6

Step-by-step explanation:

Pls mark brainliest

Answer:

9

Step-by-step explanation:

The \(n\)term is \(2n+1\).

\(S_n=\frac{3+2n+1}{2}(n)=99 \\ \\ \frac{n(2n+4)}{2}=99 \\ \\ n(n+2)=99 \\ \\ n^2+2n-99=0 \\ \\ (n+11)(n-9)=0 \\ \\ n=9 \text{ } (n>0)\)

The number of terms that needed to make the sum to 99 is 9

The first term of the arithmetic progression = 3

The common difference = 2

The sum of n term is = (n/2) [2a+(n-1)d]

Where a is the initial term

d is the common difference

Substitute the values in the equation

(n/2) [2(3)+(n-1)2] = 99

(n/2) [6 + 2n - 2] = 99

(n/2)[4+2n] = 99

n(2 + n) = 99

2n + \(n^2\) = 99

\(n^2\) + 2n - 99 = 0

Split the terms

\(n^2\) - 9n +11n - 99 =0

n(n -9) + 11(n - 9) = 0

(n + 11)(n - 9) = 0

n = -11 or 9

Since n cannot be a negative number, therefore n = 9

Hence, the number of terms that needed to make the sum to 99 is 9

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Answer:

--------------------------------------

Steps should be self-explanatory. Happy to explain if anything is not clear.

Answer:

Step-by-step explanation:

1) 4v + 7 = 7, for v?

→ 4v + 7 = 7

→ 4v = 7 - 7

→ v = 0/4

→ [ v = 0 ]

2) 3(u + 4) = 27, for u?

→ 3(u + 4) = 27

→ 3u + 12 = 27

→ 3u = 27 - 12

→ u = 15/3

→ [ u = 5 ]

3) -20 = 10(h + 5), for h?

→ -20 = 10(h + 5)

→ 10h + 50 = -20

→ 10h = -20 - 50

→ h = -70/10

→ [ h = -7 ]

4) -10 = (n - 52)/5, for n?

→ -10 = (n - 52)/5

→ n - 52 = -10 × 5

→ n = -50 + 52

→ [ n = 2 ]

5) (48/x) - 3 = 3, for x?

→ (48/x) - 3 = 3

→ 48/x = 3 + 3

→ 6x = 48

→ x = 48/6

→ [ x = 8 ]

6) 8r = 2r + 42, for r?

→ 8r = 2r + 42

→ 8r - 2r = 42

→ r = 42/6

→ [ r = 7 ]

These are required values.

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=3\\ k=-10\\ \end{cases}\implies y=a(~~x-3~~)^2 + (-10)\hspace{4em}\textit{we also know that} \begin{cases} x=0\\ y=8 \end{cases} \\\\\\ 8=a(~~0-3~~)^2 + (-10)\implies 8=9a-10\implies 18=9a\implies \cfrac{18}{9}=a \\\\\\ 2=a\hspace{7em}y=2(~~x-3~~)^2 + (-10)\implies \boxed{y=2(x-3)^2-10}\)

Answer: B.11.07

Step-by-step explanation: (2.7)(4.1)

11.07

Answer:

The answer is 400 :)

Step-by-step explanation:

hope that helped a little

Answer:

A i dont know i think it is i dont know correct me if im wrong

Answer:

A. latitude

Step-by-step explanation:

The type of imaginary line that runs parallel to the Equator on a map:

A. latitude

Answer:

10:4 and 20:8 are equivalent to 15:6.

Step-by-step explanation:

15/6 = 2.5

10/4 = 2.5 yes

7/2 = 3.5 no

20/8 = 2.5 yes

The polynomial of degree 3 with zeros at x = 3, x = -4, and x = 5 is P(x) = x^3 - 4x^2 - 17x + 60.  

To construct a polynomial of degree 3 with zeros at x = 3, x = -4, and x = 5, we can use the fact that the polynomial can be written as a product of linear factors corresponding to each zero.

The factor corresponding to x = 3 is (x - 3).

The factor corresponding to x = -4 is (x + 4).

The factor corresponding to x = 5 is (x - 5).

To obtain the polynomial, we multiply these factors together:

P(x) = (x - 3)(x + 4)(x - 5)

Expanding this expression gives us:

\(P(x) = (x^2 - 3x + 4x - 12)(x - 5)\)

\(= (x^2 + x - 12)(x - 5)\)

\(= x^3 - 5x^2 + x^2 - 5x - 12x + 60\)

\(= x^3 - 4x^2 - 17x + 60\).

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Answer:

112

Step-by-step explanation:

448/4=112

Answer:

  76 units

Step-by-step explanation:

You want the length of AC in the given triangular pyramid.

The Pythagorean theorem can be used to find the lengths of AD and CD.

  AD² + 40² = 41²

  AD² = 41² -40² = 81 . . . . . = 9²

and

  CD² +40² = 85²

  CD² = 85² -40² = 5625 . . . . . = 75²

It can also be used to find AC:

  AD² + CD² = AC²

  81 + 5625 = AC²

  AC = √5706 = 3√634 ≈ 76

The length of side AC is about 76 units.

__

Additional comment

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs of a right triangle.

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200.60 interest does andy’s account earn.

Let x be the amount of interest earned by Andy's account.

According to the problem, Andy's account earns 0.3% more interest than Marty's account, which means that Andy's account earns the same amount plus an additional 0.3% of that amount. Mathematically, we can express this as:

x = 200 + 0.3% of 200

Simplifying the right-hand side of the equation, we get:

x = 200 + 0.003 × 200

x = 200.60

Therefore, the answer is option 1: 200.60.

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The sets of ordered pairs that represents a function are {(10,5), (-10,-5), (5,10), (-5,-10)} and {(-6,-1), (13,8), (1,6), (1,-10)}

Ordered pairs are written as a coordinate (x, y). For the given x coordinate points to be a function, the value of its x coordinates (domain) must not be repeated.

From the given ordered pairs, {(10,5), (10,-5), (5,10), (5,-10)} and {(3,5), (-17,-5), (3,-5), (-17,5)} are not functions since there is repetition in their domains.

Hence the sets of ordered pairs that represents a function are {(10,5), (-10,-5), (5,10), (-5,-10)} and {(-6,-1), (13,8), (1,6), (1,-10)}

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Answer:

1. C = $1.65p

2. $260.10 ÷ $1.65 = 157.64 because we need to round it will be rounded up to 158 pounds

Answer:

5/2 =

2.5

Step-by-step explanation:

The number of M&M's that were in the bowl before Amelia arrived is; 12

Let the original amount in the bowl be x. Thus;

If Amelia grabbed 50%, then amount left = (100% - 50%)x = 50%x = 0.5x

Now, we are told that domicick took 50% of what was keft after amelia. Thus; New amount left = 100%x - (0.5x + 0.25x) = 0.25x

Now, we are told that there were finally 3 left after all the deductions. Thus;

0.25x = 3

x = 3/0.25

x = 12

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By solving a linear equation for the concentration we will see that the guy needs to use 18 ounces.

We know that the guy used 10 ounces of 6% solution with x ounces of a 12% solution to make a 8% solution, then we can write the concentration equation:

0.06*12 + 0.12*x = (12 + x)*0.08

So we just need to solve a linear equation for x.

0.06*12 + 0.12*x = (12 + x)*0.08

0.06*12 + 0.12*x = 12*0.08 + x*0.08

0.12*x - 0.08*x = 12*0.08 - 0.06*12

0.04*x = 0.06*12

x = 0.06*12/0.04 = 18

Which means that the guy needs to use 18 ounces of the 12% substance.

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The shape that CANNOT possibly describe the cross section is a rectangle.

1. The given three-dimensional object consists of two congruent parallel trapezoids.

2. A plane intersects the object perpendicularly to the trapezoids, resulting in a cross section.

3. To determine the shape that cannot possibly describe the cross section, we need to examine the possible outcomes.

4. When a plane intersects the object perpendicularly to the trapezoids, the resulting cross section can be various shapes, such as a parallelogram, triangle, trapezoid, or rectangle.

5. Let's consider each of these possibilities:

  a. Parallelogram: If the cross section is a parallelogram, it means the intersecting plane is parallel to the bases of the trapezoids.

  b. Triangle: If the cross section is a triangle, it means the intersecting plane passes through one of the vertices of the trapezoids.

  c. Trapezoid: If the cross section is a trapezoid, it means the intersecting plane is parallel to one base of the trapezoids and intersects the other base.

  d. Rectangle: If the cross section is a rectangle, it means the intersecting plane is perpendicular to both bases of the trapezoids.

6. Out of these possibilities, the shape that cannot possibly describe the cross section is a rectangle because a perpendicular plane would not intersect both bases of the trapezoids at right angles simultaneously.

7. Therefore, the shape that cannot possibly be the cross section is a rectangle.

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Given:

The polynomial is

\(p(x)=x^3-2x^2+2x\)

To find:

The real and complex zeros of the equation.

Solution:

We have,

\(p(x)=x^3-2x^2+2x\)

For zeros, p(x)=0.

\(x^3-2x^2+2x=0\)

\(x(x^2-2x+2)=0\)

\(x(x^2-2x+2)=0\)

\(x=0\text{ and }x^2-2x+2=0\)

The real value of x is 0. The equation \(x^2-2x+2=0\) will give complex roots. Here, a=1, b=-2 and c=2.

Using quadratic formula, we get

\(x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\)

\(x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(2)}}{2(1)}\)

\(x=\dfrac{2\pm \sqrt{4-8}}{2}\)

\(x=\dfrac{2\pm \sqrt{-4}}{2}\)

On further simplification, we get

\(x=\dfrac{2\pm \sqrt{-1}\sqrt{4}}{2}\)

\(x=\dfrac{2\pm 2i}{2}\)

\(x=\dfrac{2(1\pm i)}{2}\)

\(x=1\pm i\)

Therefore, the real zero is 0 and the complex zeros are 1+i and 1-i.

The limits are : Limits y = \(-\sqrt{9-z^2} \leq y\leq 0\)  and   Limits z = \(-3 \leq z\leq 3\).

The volume of a cylinder is the capacity of the cylinder, which calculates how much matter it can hold. In geometry, there is a specific formula for calculating the volume of a cylinder, which measures the amount of liquid or solid that can be uniformly immersed in it. A cylinder is a three-dimensional shape with two congruent and parallel identical bases. There are different types of cylinders. They are:

(1) Right cylinder: a cylinder with a circular base and of which each line segment constituting the lateral surface is perpendicular to the base.

(2) Inclined Cylinder: A cylinder whose sides are inclined at an angle not equal to a right angle to the base.

(3) Elliptical cylinder: a cylinder with an elliptical base.

(4) Straight hollow cylinder: Cylinder made up of two straight cylinders, one inside the other.

According to the question:

The cylinder has the equation y² + z² = 1 (with x in [0, 2]).

So, we can write the volume 1 dV as (x = 0 to 2) (z = -1 to 1)(y = -a(1 - z²) to a(1 - z²)) 1 dy dz dx.

y-axis in left: y²+ z² =9

y-axis in the plane: y =0

The left part of the circle is :

\(-\sqrt{9-z^2} =y\)

Limits y : \(-\sqrt{9-z^2} \leq y\leq 0\)

Limits z : \(-3 \leq z\leq 3\)

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The monthly Payment for the loan is approximately $271.24.

To calculate the monthly payment for the loan, we can use the formula for calculating the monthly payment on an intermediate-term loan. The formula is:

Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

Given:

Loan Amount = $50,000

Interest Rate = 6.5% per year

Number of Years = 5

First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is:

Monthly Interest Rate = (6.5% / 100) / 12 = 0.00541667

Plugging in the values into the formula, we get:

Monthly Payment = ($50,000 * 0.00541667) / (1 - (1 + 0.00541667)^(-5 * 12))

              = $271.24

Therefore, the monthly payment for the loan is approximately $271.24.

The owners of the restaurant want to use the loan to renovate the kitchen and expand the dining room, which they expect will generate additional monthly revenue between $2,000 and $5,000.

If we assume a conservative estimate of $2,000 per month in additional revenue, the loan payment of $271.24 represents approximately 13.56% of the additional revenue. This means that the owners would still have a significant portion of the additional revenue available for other expenses or profit.

On the other hand, if we consider the higher estimate of $5,000 per month in additional revenue, the loan payment would represent only about 5.42% of the additional revenue, leaving a substantial amount of money for other purposes.

Considering these calculations, it appears that taking this loan is a smart business decision. The monthly payment is manageable and leaves a significant portion of the additional revenue for the restaurant's operation and potential profit. However, it is essential for the owners to ensure that the projected additional revenue is realistic and sustainable to cover the loan payment and other business expenses.

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Answer:

The answer would be: $125 trillion

The country want to keep the debt-to-GDP ratio is at 20% while increasing the debt from $15 trillion to $25 trillion.

If debt-to-GDP is 20% and the debt is $25 trillion then the GDP of the country would be:

debt/GDP= 20%

GDP= debt/ 20%= $25 trillion/20%= $125 trillion

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

4^2= 16

16+7=23

23-3=20

Answer: 6

Step-by-step explanation:

4^2 - 3 +7

16 - 3 +7

16 - 10

6

The value of y is 48.

To find the value of y in this scenario, we need to use the fact that the angle bisector of ∠JSL splits it into two congruent angles.

Let's denote one of these congruent angles as ∠HSL and the other as ∠LSJ. Since ∠JSL is bisected, we have:

m∠JSL = m∠HSL + m∠LSJ

Given that m∠JSL = (4y - 10)° and m∠HSL = m∠LSJ = ∠HSJ = (y + 43)°, we can substitute these values into the equation:

4y - 10 = (y + 43) + (y + 43)

Simplifying the equation:

4y - 10 = 2y + 86

Subtracting 2y from both sides:

2y - 10 = 86

Adding 10 to both sides:

2y = 96

Dividing both sides by 2:

y = 48

Therefore, the value of y is 48.

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Answer: -1 = (-3/3)

Step-by-step explanation

You go from one point to another, i started from 3,1 and went to 3,0. I got down -3 which is my rise and right 3 for the run. Tell me if this is correct

Given statement solution is :-

1) Gather your electricity bills from the period before the summer break.

2) Create a comprehensive list of all the electrical appliances used in your home.

Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.

3) Research or locate the power consumption information for each appliance.

4) Identify areas where energy consumption can be reduced, such as:

Turning off lights when not in use.

Setting air conditioner temperatures at an optimal level.

Using energy-efficient appliances.

5) After the summer break, collect your electricity bill for the corresponding period.

6) Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.

Provide recommendations for further improvements or adjustments to achieve even greater sustainability.

To conduct a comparative study of consecutive electric bills and analyze the impact of a reduction plan, you can follow the steps below:

Examine your electricity bills of pre-summer break:

Gather your electricity bills from the period before the summer break.

Look for details such as total energy consumption (in kilowatt-hours or kWh), billing period, and the cost per unit of electricity.

List the various electrical appliances used in your home:

Create a comprehensive list of all the electrical appliances used in your home.

Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.

Find out the power consumption and duration for each device in use:

Research or locate the power consumption information for each appliance.

This information is typically provided on the appliance itself or in the user manual.

Note down the power rating of each device in watts (W) or kilowatts (kW).

Estimate the average duration each device is used daily in hours (e.g., 2 hours for a television, 8 hours for a refrigerator).

Calculate the estimated electricity consumption and cost:

Multiply the power rating (in kW) of each device by its average daily usage (in hours) to find the daily energy consumption (in kWh).

Multiply the daily energy consumption by the number of days in the billing period to get the total energy consumption for that period.

Multiply the total energy consumption by the cost per unit of electricity to calculate the estimated cost for each appliance.

Sum up the estimated costs for all appliances to get the total estimated electricity bill.

Make an energy reduction plan and determine implementation:

Identify areas where energy consumption can be reduced, such as:

Turning off lights when not in use.

Setting air conditioner temperatures at an optimal level.

Using energy-efficient appliances.

Unplugging devices when not in use.

Determine the feasibility of implementing these energy reduction measures in your home.

Re-examine your electricity bill of post-summer break:

After the summer break, collect your electricity bill for the corresponding period.

Calculate the actual energy consumption and cost using the same method as in step 4.

Compare the actual post-summer break bill with the estimated pre-summer break bill.

Note any changes in energy consumption and cost, and analyze the effectiveness of your energy reduction plan.

Document your reduction plan and changes in the bill:

Write a report summarizing your findings and observations.

Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.

Provide recommendations for further improvements or adjustments to achieve even greater sustainability.

By following these steps, you can conduct a comparative study of consecutive electric bills, analyze the effectiveness of your energy reduction plan, and track changes in energy consumption and costs.

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