Can someone please help me?? :(

Answer:

La profesora debe comprar 8 manzanas para reponer la cesta de frutas.

Step-by-step explanation:

La profesora debe reponer la cesta de frutas por la cantidad de manzanas que se encuentran dañadas. La cantidad de manzanas dañadas es igual a las dos séptimas partes del total de manzanas. Es decir:

\(x = \frac{2}{7} \times (28\,manzanas)\)

\(x = \frac{56\,manzanas}{7}\)

\(x = 8\,manzanas\)

La profesora debe comprar 8 manzanas para reponer la cesta de frutas.

Answer:

A. 7

B.−16x^2+10x−19y−56

Explanation:

A. In the first attachment

B. In the second attachment

The equation of the circle graphed below is (x - 1)² + (y - 1)² = 4.

To determine the equation of a circle, we need to know the coordinates of its center and the radius. The general equation of a circle with center (h, k) and radius r is given by:

(x - h)² + (y - k)² = r²

where (x,y) are the coordinates of any point on the circle. The equation shows that the distance between any point (x,y) on the circle and the center (h,k) is always equal to the radius r.

To determine the equation of the circle graphed below, we need to identify the coordinates of its center and the radius. One way to do this is to use the distance formula between two points. We can choose any two points on the circle and use their coordinates to find the distance between them, which is equal to the diameter of the circle. Then, we can divide the diameter by 2 to find the radius.

To find the radius, we can choose any point on the circle and use the distance formula to find the distance between that point and the center. We can use the point (5,1), which is on the right side of the circle. The distance between (5,1) and (1,1) is 4 units, which means that the radius is 2 units.

Substituting the values of (h,k) and r in the general equation of the circle, we get:

(x - 1)² + (y - 1)² = 4

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If rectangle has sides measuring (2x +7) units and (5x +9) units then expression that represents the area of the rectangle is \(10x^2+53x+63\) and degree of this expression is 2 and we proved that it satisfy closure property .

A quadrilateral with four right angles is called rectangle .

Given that sides are (2x+7) and (5x+9)

Hence area of rectangle can be calculated as

\((2x+7)(5x+9)\\\\2x(5x+9)+7(5x+9)\\\\10x^2+18x+35x+63\\\\10x^2+53x+63\\\)

Now we can see that this is a second degree polynomial

We got polynomial   \(10x^2+53x+63\) by multiplying two polynomial (2x+7) and (5x+9) hence it's closure property .

If rectangle has sides measuring (2x +7) units and (5x +9) units then expression that represents the area of the rectangle is \(10x^2+53x+63\) and degree of this expression is 2 and we proved that it satisfy closure property .

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Answer:

x=9

Step-by-step explanation:

plug in the number 9

-2(9)= -18

-18+3= -15

Answer:

2 real and irrational roots

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ )

then the nature of the roots can be determined using the discriminant

Δ = b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational roots

• if b² - 4ac > 0 and a perfect square then 2 real and rational roots

• if b² - 4ac = 0 then 2 real and equal roots

• if b² - 4ac < 0 then 2 complex roots

- 6x² + 7x + 3 = 0 ← is in standard form

with a = - 6 , b = 7 , c = 3

b² - 4ac = 7² - (4 × - 6 × 3) = 49 - (- 72) = 49 + 72 = 121

since b² - 4ac > 0 then the equation has 2 real and irrational roots

Quadratic equation -

\(\: \:\:\:\: \small \underline{ \boxed{ \sf{ -6x^2 +7x+3 =0}}}\\\)

Where-

To find the Discriminant of this equation is given by -

\(\longrightarrow\underline\purple{\boxed{\pmb{D = b^2-4ac}}}\)

On substituting the values -

\( \: \:\:\:\: \longrightarrow\sf { D = \bigg(7\bigg)^2 - 4\times -6\times 3}\\\)

\( \: \:\:\:\: \longrightarrow\sf { D = 49+72}\\\)

\( \: \:\:\:\: \longrightarrow\pmb{ \underline{\purple{D =121}}}\\\)

Since, D>0 hence, this equation has two distinct real roots.

Answer:

2109 meter squared

Step-by-step explanation:

\(Area \: of \: path \\ = (400+3)(300+3)-400 \times 300 \\ = 403 \times 303 - 120000 \\ = 122,109 - 120000 \\ = 2109 \: {m}^{2} \)

Answer:

Carlos Got more votes.

Step-by-step explanation:

If you do the math and find out what 38% of 150 is then you will have your answer

Answer:

96 , 144

Step-by-step explanation:

Ratio = 2 : 3

2x + 3x = 240

        5x = 240

           x = 240/5

           x = 48

2x = 2*48 = 96

3x = 3*48  = 144

Step-by-step explanation:

9.

it is a rectangle. 18m × 4m = 72 m²

the paving costs $35 per m², and we have 72 m², so it does not take a genius to figure out what to do next ...

right : we multiply 35 by 72

35×72 = $2520

10.

how much volume is a liter ?

a liter fits into a cube of 10cm side length.

and 1 meter = 100 cm = 10×10cm.

so, 1 m³ = 10×10×10 = 1000 such cubes of 10cm side length = 1000 liters.

the pool is 5 m × 15 m × 1.5 m = 112.5 m³ = 112500 liters

we need 2 kg salt for every 10000 liters water, so we have how many units of 10000 liters in the pool ?

112500 / 10000 = 11.25

so, we need

11.25 × 2 = 22.5 kg salt

11.

12 seconds = 1/5 of a minute.

so, batman runs at 3 km / min (= 60×3 km/hour = 180 km/h - not possible in real life for any human being, but let's play ...) for 12 seconds = 1/5th of a minute, and so he runs 3km/5 = 600 meters in that time.

that means he has 2km - 600m = 1400m left to run in the 2 km race.

it takes him 1400/3000th of a minute (3000 m would take him the full minute)

1400 m × minute / 3000 m = 14/30 = 7/15 minutes

1/15th minute = 60 seconds / 15 = 4 seconds.

so, 7/15th of a minute = 7×4 seconds = 28 seconds.

the bionic woman runs the full 2000 m with 5 km / minute.

it takes her 2000/5000th of a minute

2000 m × minute / 5000 = 2/5th of a minute.

1/5th of a minute is 60 seconds / 5 = 12 seconds.

so, 2/5th of a minute is 12×2 = 24 seconds.

therefore, the bionic woman wins by 4 seconds (24 seconds vs. 28 seconds).

12.

there is enough food for 150 students for 5 days = 150×5 =750 "food units".

therefore, if there were only 100 students, the food would last 750/100 = 7.5 days.

and if the food runs out after 4 days it means there are

750/4 = 187.5 students (how much sense that makes to have half a student ...).

13.

x = the workload to be done

Michelle's work speed is x/6 days

Danielle's work speed is x/4 days

on each day working together they achieve

1× x/6 + 1× x/4 of the total work load.

that is

2x/12 + 3x/12 = 5x/12

so, they need 5x/12 × a days to finish the whole x.

5x/12 × a = x

5/12 × a = 1

5a = 12

a = 12/5 = 2.4 days to finish the whole work when working together.

Answer:

See explanation

Step-by-step explanation:

Given

\(\triangle LMN \to \triangle PQR\)

\(k = 1.25\)

Required

The length of PQ

\(\triangle LMN \to \triangle PQR\) means that the side lengths of LMN are multiplied by 1.25 to get the side lengths of PQR

And it implies that the following sides are corresponding

\(LM \to PQ\)

\(MN \to QR\)

\(LN \to PR\)

So, we have:

\(PQ = k * LM\)

\(PQ = 1.25* LM\)

The question is incomplete.

Assume LM = 16, then:

\(PQ = 1.25* 16\)

\(PQ = 20\)

Answer:

A = 6 x 7

Step-by-step explanation:

To find the area of a parallelogram we use the equation of Area = base x height. In this case since the base is 6 and the height is 7, we plus in these numbers for the variables (b x h) to get the area.

Answer:

641.96

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

sorry  iiiiiimmm bad at math

Answer:

a. £46144.8

b. ?

Step-by-step explanation:

Answer:

awnser is 1718

Step-by-step explanation:

Answer:

$12,115 - $10,347 = $1,768. the difference is $1,768 this is how much more in sales they had in October

1.  The derivative of the function by the limit process is f'(x) = 2x + 1.

1. For the function  f(x) = x² + x − 8, we can find the derivative through the limit process this following way;

the derivative of a function at a point \(x = c, f'(c)\), and is defined by the limit as Δx approaches 0 of ⇒  \(\frac{(f(c + \triangle x) - f(c))}{ \triangle x}\)

For f(x) = x² + x - 8, we have:

\(f(x + \triangle x) = (x + \triangle x)^2 + (x + \triangle x) - 8\)

\(= x^2 + 2x \triangle x + \triangle x^2 + x + \triangle x - 8.\)

Substituting into the definition of the derivative gives us:

\(f'(x) = lim (\triangle x = > 0) [(f(x + \triangle x) - f(x)) / \triangle x]\)

= lim (Δx → 0) {(x² + 2xΔx + Δx² + x + Δx - 8) - (x² + x - 8)} / Δx

= lim (Δx → 0) [2xΔx + Δx² + Δx] / Δx

= lim (Δx →0) [2x + Δx + 1]

= 2x + 1 (after Δx → 0).

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The ratio of lower-level seats to the total seats in the theater is approximately 0.6923. This means that for every 1 seat in the upper level, there are approximately 0.6923 seats in the lower level.

The ratio of lower-level seats to the total seats in the theater can be calculated by dividing the number of lower-level seats by the sum of lower-level seats and upper-level seats. In this case, the theater has 4,500 lower-level seats and 2,000 upper-level seats.

To find the ratio, we add the number of lower-level seats and upper-level seats: 4,500 + 2,000 = 6,500.

Then, we divide the number of lower-level seats (4,500) by the total number of seats (6,500): 4,500 / 6,500 = 0.6923.

Therefore, the ratio of lower-level seats to the total seats in the theater is approximately 0.6923. This means that for every 1 seat in the upper level, there are approximately 0.6923 seats in the lower level.

It's important to note that the ratio is typically expressed in the form of "x:y" or "x/y," where x represents the number of lower-level seats and y represents the total number of seats. In this case, the ratio is approximately 4,500:6,500 or 0.6923:1.

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Step-by-step explanation:

5x-16 = 3 (10+x)

=> x= 23

To find three additional polar representations of the point (2, 3π/4), we can add or subtract 2πk to the angle, where k is an integer. Using this method, we get:

   (2, -5π/4) - subtract 2π

   (2, 11π/4) - add 2π

   (2, -3π/4) - subtract 2π

To find the smallest and largest values of the angle, we need to consider the interval −2π < θ < 2π. The given angle of 3π/4 lies in the second quadrant. Adding or subtracting 2π to this angle will give us angles in the third and fourth quadrants. Therefore, the smallest value of the angle is −3π/4, and the largest value is 5π/4. Thus, the polar representations are:

   (2, 3π/4)

   (2, -5π/4)

   (2, 11π/4)

   (2, -3π/4)

   (2, 5π/4)

The iterated integral by changing to cylindrical coordinates 2 −2 4 −4 √16 − x2 (x2 y2)3/2 dy dx dz −√16 − x2 is 128π.

To evaluate the iterated integral using cylindrical coordinates, first, we need to change the given rectangular coordinates (x, y, z) to cylindrical coordinates (ρ, φ, z). In cylindrical coordinates, x = ρcosφ, y = ρsinφ, and z = z. The Jacobian for the transformation is |J| = ρ. The given integral can be rewritten as:

∫(φ=0 to 2π) ∫(ρ=0 to 4) ∫(z=-√16-ρ² to √16-ρ²) (ρ²)³/2 * ρ dz dρ dφ

Now, we can evaluate the integral step by step:

1. Integrate with respect to z:

∫(φ=0 to 2π) ∫(ρ=0 to 4) [(z * ρ³) | (z = -√16-ρ²) to (z = √16-ρ²)] dρ dφ

2. Integrate with respect to ρ:

∫(φ=0 to 2π) [(1/4 * ρ⁴) | (ρ = 0) to (ρ = 4)] dφ

3. Integrate with respect to φ:

[(1/4 * 4⁴) * (φ | φ=0 to 2π)] = (256/4) * 2π = 128π

So the value of the iterated integral in cylindrical coordinates is 128π.

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The area of the region that the wiper covers is 640.315 inches²

This formula is used when θ is in radian. Arc Length = θ × (π/180) × r; where θ = Central angle subtended by the arc, and r = radius of the circle. This formula is used when θ is in degrees.

Given here: A car windshield wiper and arm is 26 inches long and rotates at an angle of 108.6°.

A = (θ/360°) × πr²

θ is the sector angle subtended by the arcs at the center (in degrees), r is the radius of the circle. If the subtended angle θ is in radians, the area is given by, A = 1/2 × r² × θ.

A=108.6/360 ×3.14×26²

 =0.30166×3.14×676

=640.315 inches²

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Answer:

The answer is 424.

To plot the function f(x) = -4x^2 + sin(5x) and its derivative, and to save the results in a file named "results.txt" with 2 decimal places.

You can use the following MATLAB code:

```matlab

x = -10:0.5:10; % Generate x values

f = -4*x.^2 + sin(5*x); % Calculate f(x)

df_dx = -8*x + 5*pi*cos(5*x); % Calculate the derivative

% Saving results to file

output = [x', f', df_dx'];

dlmwrite('results.txt', output, 'delimiter', '\t', 'precision', '%.2f');

1. First, we define the range of x values using the vector `-10:0.5:10` to cover the desired interval with a step size of 0.5.

2. Next, we calculate the values of f(x) and its derivative using the defined mathematical expressions.

3. We then plot the function and its derivative using the `plot` function. The red dashed line represents f(x), and the blue solid line represents its derivative.

4. To save the results, we create a matrix `output` that concatenates the x values, f(x), and the derivative column-wise.

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Answer:

box b 0.03

Step-by-step explanation:

i divided and got 1 ounces each

Answer:

the third one i belive so

Step-by-step explanation:

it makes more scence

Answer: See below for the graph

The graph is a straight line through (0,-8) and (1,-3)

======================================================

Further explanation:

You have the correct y intercept. This is where the graph crosses the y axis.

From this starting point, move up 5 units and to the right 1 unit. This motion of "up 5, right 1" is directly from the slope of 5 aka 5/1

slope = rise/run = 5/1

rise = 5 = how far you go up

run = 1 = how far you move to the right

So if we started at (0,-8) and moved up 5, right 1, then we would arrive at (1,-3)

Once these two points are plotted together, we can draw a straight line through them as you see below. I used GeoGebra to make the graph, but you could use Desmos (or similar) if you prefer.

The given sequence is 6, 4.8, 3.6, 2.4, 1.2, ...

To find the nth term of this sequence, we can observe that each term is obtained by multiplying the previous term by 0.8. Therefore, the common ratio between the terms is 0.8.

To find the nth term, we can use the formula: an = \(a1 * r^{n-1)},\) where an is the nth term, a1 is the first term, r is the common ratio, and n is the term number.

For this sequence, a1 = 6 and r = 0.8.

For the 1st term (n = 1): a1 = 6

For the 2nd term (n = 2): a2 =\(6 * 0.8^{(2-1)}\) = 4.8

For the 3rd term (n = 3): a3 =\(6 * 0.8^{(3-1)}\) = 3.84

For the 4th term (n = 4): a4 = \(6 * 0.8^{(4-1)}\)= 3.072

For the 5th term (n = 5): a5 =\(6 * 0.8^{(5-1)}\) = 2.4576

Therefore, the nth term for this sequence is an = 6 * 0.8^(n-1), and the 1525th term would be a1525 = \(6 * 0.8^{(1525-1)}.\)

The given sequence is 13, 11, 9, 7, 5, ...

To find the nth term of this sequence, we can observe that each term is obtained by subtracting 2 from the previous term. Therefore, the common difference between the terms is -2.

To find the nth term, we can use the formula: an = a1 + d * (n-1), where an is the nth term, a1 is the first term, d is the common difference, and n is the term number.

For this sequence, a1 = 13 and d = -2.

For the 1st term (n = 1): \(a1 = 13\)

For the 2nd term (n = 2): \(a2 = 13 + (-2) * (2-1) = 11\)

For the 3rd term (n = 3): \(a3 = 13 + (-2) * (3-1) = 9\)

For the 4th term (n = 4): \(a4 = 13 + (-2) * (4-1) = 7\)

For the 5th term (n = 5): \(a5 = 13 + (-2) * (5-1) = 5\)

Therefore, the nth term for this sequence is an = \(13 + (-2) * (n-1\)), and the 1525th term would be \(a1525 = 13 + (-2) * (1525-1).\)

The given explicit formula for the arithmetic sequence is nth = 65 - 100n.

To find the first five terms, we substitute n = 1, 2, 3, 4, and 5 into the formula:

For the 1st term (n = 1): \(a1 = 65 - 100 * 1 = -35\)

For the 2nd term (n = 2): \(a3 = 65 - 100 * 3 = -235\)

For the 3rd term(n = 3): \(a3 = 65 - 100 * 3 = -235\)

For the 4th term (n = 4): \(a4 = 65 - 100 * 4 = -335\)

For the 5th term (n = 5): \(a5 = 65 - 100 * 5 = -435\)

Therefore, the first five terms of this arithmetic sequence are: -35, -135, -235, -335, -435.

To find the 39th term, we substitute n = 39 into the formula:

\(a39 = 65 - 100 * 39 = 65 - 3900 = -3835\)

Therefore, the 39th term of this arithmetic sequence is -3835.

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Answer:

$6

Step-by-step explanation:

If we divide the amount they spend by the amount of meals they make, we get 6. So this means that they spend $6 per meal.