How many solutions are there for this equation?
3(4x + 2) = 8x + 24 –2x

The speed of spin of carousel is 0.286 miles/minutes. The The speed at which something moves in a specific direction is known as its velocity. as the speed of a car driving north on a highway or the speed at which a rocket takes off.

based on the distance traveled in a given amount of time. These cars can travel at speeds of more than 150 kilometers per hour (km/h). Meters per second (m/s) is the fundamental unit of speed in the metric system.

Given,

distance spinned=2 miles

time taken=7min

speed=distance/time

speed=2/7=0.286 miles/minute

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The correct pair of constraints that needs to be added to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units is: P24 - P25 <= 80; P25-P24 <= 80. Therefore, the correct option is 5.

Here, the given information is Pij = the production of product i in period j. We need to find the pair of constraints that will specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Thus, let the production of product 2 in period 4 and in period 5 be represented as P24 and P25 respectively.

Therefore, we can write the following inequalities:

P24 - P25 <= 80

This is because the production of product 2 in period 5 can be at most 80 units less than that of period 4. This inequality represents the difference being less than or equal to 80 units.

P25-P24 <= 80

This is because the production of product 2 in period 5 can be at most 80 units more than that of period 4. This inequality represents the difference being less than or equal to 80 units.

Therefore, we need to add the pair of constraints P24 - P25 <= 80 and P25-P24 <= 80 to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Hence, option 5 is the correct answer.

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The flux of F across S is equal to 2304/5π.

Given vector field is F= 32x3 + yi + 2 (cosz + 3y3) j + 32z3k.

The surface S is the one which is bounded by the hemisphere z = - 4 - x2 - y2

and the plane z = 0.

This is a closed surface enclosing a region R which is the upper part of the solid sphere x2 + y2 + z2 = 16.

The divergence theorem states that the flux of the vector field across a closed surface is equal to the triple integral of the divergence of the vector field over the region it encloses. Hence, the flux can be calculated as follows:

S F . n d S = R (del. F) d V where n is the outward pointing unit normal vector on the surface S.

The divergence of F is given by del.

F = 96x2 + 3 + 2 (-sinz) + 96z2

Therefore, R (del . F) d

V = ∫0π/2∫0π/2∫04- r

2sinΦ (96r2cos2Θ + 96r

2sin2Φ + 3) + 2(-sin(4 + r2)) drdΘdΦ

where R is the region enclosed by the surface S.

So, we have the following equation after integrating it: R (del . F) dV = 2304/5π.

The flux of F across S is equal to 2304/5π.

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Answer:

C. 16

Step-by-step explanation:

5 is half of 10, so 8 should be half of the next number.

Answer:

C. 16

Step-by-step explanation:

\( \frac{y}{x} = \frac{10}{5} = \frac{?}{8} \\ \frac{2}{1} = \frac{?}{8} \)

cross multiplying

\(16 = ?\)

so the missing number is 16

Answer:

18

Step-by-step explanation:

9+(-15)+4+20

9-15+4+20

18 ans

Answer:

0.318

Step-by-step explanation:

Answer:

X = 2

Step-by-step explanation:

5x + 10 = 2x + 16

3x + 10 = 16

3x = 6

x = 2

Hope this helps! Pls give brainliest!

Answer: 1/10

1/5 divided by 1/2 = 0.1 = 1/10

Answer:

Step-by-step explanation:

You want to know the price per bushel for wheat, corn, and rye, given the sales ...

Using x, y, and z for price per bushel of wheat, corn, and rye, respectively, the given sales tell us ...

The easiest way to solve a system of equations like this is to make use of the matrix manipulation capabilities of a calculator. The attached calculator display shows the reduction of the augmented matrix of coefficients to "reduced row-echelon form". That puts the solution in the last column:

  x = y = 3.61, z = 1.91

The price per bushel for wheat and corn is the same: $3.61; the price per bushel for rye is $1.91.

__

Additional comment

The second attachment shows a solution using a graphing calculator. In this solution, an expression for z based on the first equation is used in the remaining two equations, which then tell us the values of x and y.

If you add all of the equations, you get 10x +10y +10z = 91.30, which gives you ...

  x + y + z = 9.13

This can be solved for any variable you may want to substitute into any pair of the equations. This approach avoids any messy fractions.

<95141404393>

Step-by-step explanation:

(1 + 3.75%)^2.5 = 1.0964

FV = 1580 (1.0964)

= 1732.31

Answer:

A.       2

      ----------

     3x^3 y^5 z

B.         49k^8 m^6

         --------------------

                  81

C.          a^9 b^3

           ---------------

              27c^12

D.         -125y^9

          --------------

                 x^6

Step-by-step explanation:

A.

12x^2 y^-4                2

-----------------  =     -----------

18x^5 yz               3x³y^5z

B.

 (9k^2 m)^-2        -81k^-4 m^-2               49k^12 m^8           49k^8 m^6

---------------     =   ----------------------     =    ---------------------   =   --------------

(7k^6m^4)            -49k^-12 m^-8              81k^4 m^2                    81

C.

 ( 4a² b² )³                 64 a^9 b^6                   a^9 b^3

-------------------    =   -------------------------   =       -------------

( 12a^-1 bc^4 )³          1728 b^3 c^12                27c^12

D.

( -5x^-2 y³ )³   =   -125 x^-6 y^9   =       -125y^9

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

                                                                  x^6

I hope this helps!

Answer:

1/10 deg  every 15 minutes   x 4   =  4/10th   degree in an hour    (there are 4 15 minute segments in an hour)

= 2/5  degree/hr

The rate, in degrees per hour, that the temperature of the compound rose will be 1.5 degrees per hour.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Victoria conducted a scientific experiment. For a certain time, the temperature of a compound rose 2 ¹/₂ degrees every 1 ²/₃ hours.

Convert the mixed fraction number into a fraction number. Then we have

2 ¹/₂ = 2 + 1/2 = 5/2

1 ²/₃ = 1 + 2/3 = 5/3

The rate is calculated as,

Rate = (5/2) ÷ (5/3)

Rate = (5/2) x (3/5)

Rate = 3 / 2

Rate = 1.5 degrees per hour

The rate, in degrees per hour, that the temperature of the compound rose will be 1.5 degrees per hour.

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Answer: 5x (x-3) or 5(x^2-3x)

Step-by-step explanation:

Total time

Convert to only hour

Total decrease=11/20

Per hour decrease

\(\\ \sf\longmapsto \dfrac{11}{20}\div 14.08\)

\(\\ \sf\longmapsto 0.55\div 14.08\)

\(\\ \sf\longmapsto 0.03/h\)

Answer:

Don't join the points with lines

Make the numbers on the vertical axis larger

Label the axes

Step-by-step explanation:

Make all the points different colours → I don't think that would be useful. Unless the teacher asked you to in class, it's probably not a good answer.

Put the title on the bottom → Same. Unless the teacher asked you to in class, it's not really useful and probably not a good answer.

Don't join the points with lines → Teachers ask indeed not to do this, so I think it's a good answer. Most of the time they prefer students to use curves (hope it's the good translation).

Make the numbers on the vertical axis larger → Since both axes represent notes, it would be easier to compare with the same scale. If that's what the teacher meant, then I think it's correct.

Label the axes → This one is interesting, because right now we don't what they represent at all.

Hope it helps, good luck for your exercices :)

Answer:

C, \(\frac{-168}{3}\)

Step-by-step explanation:

The number of coyotes is decreasing, which makes it negative, but you can't have a negative year, so the answer must be \(\frac{-168}{3}\)

Answer:

10

Step-by-step explanation:

substitute -3 in for x

f(-3)=(-3)²+1=

9+1=10

(You can ignore the g(x) part - it has nothing to do with this question.)

Answer:

A

Step-by-step explanation:

The first thing you need to do is find the slope. Find two perfect points.

In this case I chose (0,0) and (4,1). Slope is basically rise over run. In other words, how much you go up, and how much you go right. We rise up one and to the right 4.

The sum of 1039 g and 36.7 kg expressed in milligrams (mg) to the correct number of significant figures is 37,739,000 mg.

To perform the addition, we need to convert 36.7 kg to grams before adding it to 1039 g. There are 1000 grams in 1 kilogram, so we multiply 36.7 kg by 1000:

36.7 kg * 1000 g/kg = 36,700 g

Now, we can add 1039 g and 36,700 g:

1039 g + 36,700 g = 37,739 g

To convert grams to milligrams, we multiply by 1000 because there are 1000 milligrams in 1 gram:

37,739 g * 1000 mg/g = 37,739,000 mg

The final result, expressed in milligrams with the correct number of significant figures, is 37,739,000 mg.

The sum of 1039 g and 36.7 kg, expressed in milligrams (mg) with the correct number of significant figures, is 37,739,000 mg. Remember to consider unit conversions and maintain the appropriate number of significant figures throughout the calculation.

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Answer:

the answer is the first one

Step-by-step explanation:

if you see good the line is going up, so there is you just have to count 1 up and 2 to the right I hope it help

The polynomial function f with the specified properties and zeros is a quadratic equation.

The zeros of -5 and 4 indicate that the factors of the polynomial are (x + 5) and (x - 4), respectively. To obtain a polynomial with rational coefficients and a leading coefficient of 1, we multiply these factors together: f(x) = (x + 5)(x - 4).

The zeros of -3 and -1 suggest that the factors of the polynomial are (x + 3) and (x + 1), respectively. To achieve rational coefficients and a leading coefficient of 1, we multiply these factors: f(x) = (x + 3)(x + 1).

The zero of -1 indicates the factor (x + 1) for the polynomial. Since no other zeros are given, this factor is quadratic on its own: f(x) = (x + 1)^2.

The zeros of -1, 2, and 6 imply the factors (x + 1), (x - 2), and (x - 6), respectively. To obtain a polynomial with rational coefficients and a leading coefficient of 1, we multiply these factors together: f(x) = (x + 1)(x - 2)(x - 6).

The zeros of -2, -1, and 10 suggest the factors (x + 2), (x + 1), and (x - 10), respectively. To achieve rational coefficients and a leading coefficient of 1, we multiply these factors: f(x) = (x + 2)(x + 1)(x - 10).

In summary, the polynomial functions f with the given zeros have degrees as follows: 1. Degree 2, 2. Degree 2, 3. Degree 2, 4. Degree 3, 5. Degree 3.

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Answer:

Step-by-step explanation:

Here is the complete question

The number of students treated per month has been recorded for the last 60 months. Which type of graph would allow us to quickly see how many months between 100 and 200 students were treated

A) box plot

B)dot plot

C)historgram

An histogram is a bar-like graph used to represent numerical data. On the x-axis the range of data being described is given and on the y-axis, the frequency is provided.

The  x-axis would show the range of 100 - 200 that were treated

a box plot displays numerical data using their quartiles

A dot plot is display of data using dots

Answer:

49.2

Step-by-step explanation:

Answer: $55

Step-by-step explanation:

$11 divided by 2 = $5.50

$5.50 x 10 = $55

Answer:

Refer to the attached image.

Step-by-step explanation:

Answer:

523.8 miles

Step-by-step explanation:

The drawing attached represents the question. We create a triangle with the distances from each pair of cities, and we call the distance from B to C by 'd'.

First, we need to find the angle BAC:

55° + BAC + 7° = 90°

BAC = 28°

Then, we can use the law of cosines to find the value of d:

d^2 = 470^2 + 890^2 - 2*470*890*cos(BAC)

d^2 = 470^2 + 890^2 - 2*470*890*0.8829

d^2 = 274365.86

d = 523.8 miles

Answer:

\(P(x)=2x^3-2x^2-49x+48\)

Step-by-step explanation:

Let the original polynomial be \(P(x)\).

We know that when it is divided by \((x-5)\), the quotient is \(2x^2+8x-9\) and we get a remainder of 3.

Therefore, this means that:

\(\frac{P(x)}{x-5}=2x^2+8x-9+\frac{3}{x-5}\)

Remember what it means when we have a remainder. Say we have 13 divided by 3. Our quotient will be 4 R1, or 4 1 over 3. We put the remainder over the divisor. This is the same thing for polynomials.

So, to find our original polynomial, multiply both sides by \((x-5)\):

\((x-5)\frac{P(x)}{x-5}=(x-5)(2x^2+8x-9+\frac{3}{x-5})\)

The left side will cancel. Distribute the right:

\(P(x)=2x^2(x-5)+8x(x-5)-9(x-5)+\frac{3}{(x-5)}(x-5)\)

Distribute:

\(P(x)=(2x^3-10x^2)+(8x^2-40x)+(-9x+45)+(3)\)

Combine like terms:

\(P(x)=(2x^3)+(-10x^2+8x^2)+(-40x-9x)+(45+3)\)

Evaluate:

\(P(x)=2x^3-2x^2-49x+48\)

And we're done!

measure of arc AB = 2 × 82

                               = 164

It is a rule there isn't much to say :>

i. The capacitance of the capacitor is approximately 53.1 nF. ii. The magnitude of charge on each plate is approximately 6.372 μC. iii. The new capacitance with acrylic between the plates is approximately 318.6 nF. iv. The flux density for the capacitor is approximately 1.2712 μC/m².

i. To determine the value of capacitance for the parallel plate capacitor, we can use the formula:

C = ε₀ * (A / d),

where C is the capacitance, ε₀ is the permittivity of vacuum (8.85 x 10^(-12) F/m), A is the cross-sectional area of the plates, and d is the separation between the plates.

Plugging in the given values:

A = 6 x 10^3 m²,

d = 5 mm = 5 x 10^(-3) m,

C = (8.85 x 10^(-12) F/m) * (6 x 10^3 m²) / (5 x 10^(-3) m)

  = 53.1 x 10^(-9) F

  = 53.1 nF.

Therefore, the capacitance of the capacitor is approximately 53.1 nF.

ii. The magnitude of charge on each plate can be determined using the formula:

Q = C * V,

where Q is the charge, C is the capacitance, and V is the voltage.

Plugging in the given values:

C = 53.1 x 10^(-9) F,

V = 120 V,

Q = (53.1 x 10^(-9) F) * (120 V)

  = 6.372 x 10^(-6) C.

Therefore, the magnitude of charge on each plate is approximately 6.372 μC.

iii. If acrylic is placed between the plates, the relative permittivity (εᵣ) of the medium affects the capacitance. The formula for the capacitance with a dielectric material is:

C' = εᵣ * C,

where C' is the new capacitance with the dielectric, εᵣ is the relative permittivity of the dielectric material, and C is the initial capacitance without the dielectric.

Plugging in the given values:

εᵣ (acrylic) = 6,

C (without dielectric) = 53.1 x 10^(-9) F,

C' = 6 * (53.1 x 10^(-9) F)

   = 318.6 x 10^(-9) F

   = 318.6 nF.

Therefore, the new capacitance with acrylic between the plates is approximately 318.6 nF.

iv. The flux density (D) for the capacitor can be calculated using the formula:

D = ε₀ * εᵣ * E,

where D is the flux density, ε₀ is the permittivity of vacuum (8.85 x 10^(-12) F/m), εᵣ is the relative permittivity of the dielectric material, and E is the electric field strength.

In the case of a parallel plate capacitor, the electric field strength is given by:

E = V / d,

where V is the voltage applied to the capacitor and d is the separation between the plates.

Plugging in the given values:

ε₀ = 8.85 x 10^(-12) F/m,

εᵣ (acrylic) = 6,

V = 120 V,

d = 5 x 10^(-3) m,

E = (120 V) / (5 x 10^(-3) m)

  = 24,000 V/m.

D = (8.85 x 10^(-12) F/m) * (6) * (24,000 V/m)

  = 1.2712 x 10^(-6) C/m².

Therefore, the flux density for the capacitor is approximately 1.2712 μC/m².

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Converting 1,000 mg to 1 gram would require moving the decimal place zero places to the left.

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters. By definition conversion of units means the conversion between different units and measurements of the same quantity done by the process of multiplication or division. In maths, conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons. Units are used for measuring length, measuring weight, measuring capacity, measuring temperature, and measuring speed.

If we want to calculate how many Grams are 1000 Milligrams we have to multiply 1000 by 1 and divide the product by 1000. So for 1000, we have (1000 × 1) ÷ 1000 = 1000 ÷ 1000 = 1 Gram.

So finally 1000 mg = 1 g

Thus, converting 1,000 mg to 1 gram would require moving the decimal place zero places to the left.

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Answer: y=(x-9)(x-1)

Step-by-step explanation: