(6x ^ 3 - x ^ 2 - 14x + 5):(2x - 1)​

Equalizing ratios refer to two ratios with the same value.Multiply or divide both values by the same number to arrive at an equivalent ratio. The ratio 1: 3.5 will be the equivalent of the ratio 8: 28.

A ratio shows how many of one number there are of another.Two numbers are expressed as x: y, which is equivalent to x/y, to represent their ratio.

where each of the two variables, x and y, is a separate quantity.Additionally, the combined total is given as x + y.

Knowing that;

is the ratio;

8 : 28

And the ratio has the following equivalent form: 1: n.

Now,

The ratios 8: 28 and 1: n are identical, thus.

in order to formulate;

8 : 28 = 1 : n

Calculate n as;

8 / 28 = 1 / n

n = 28 / 8

n = 3.5

As a result, 1: 3.5 will be the ratio that the ratio 8: 28 corresponds to.

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Answer:3:5

Step-by-step explanation:

12/4 is 3 and 20/4 is 5

so 3:5

Answer:9 and 5

Step-by-step explanation:k12

Therefore , the solution to the given problem of combination comes out to be thus, we might deduce that Brooklyn has 720 options from which to choose.

Combinations are mathematical procedures that count the number of possible configurations from a set of things, where the ordering of the selection of the elements is not important. You can select any set of items in any arrangement. Combinations and permutations are frequently wrong.

Here,

For the predicament,

six pants pairs

8 t-shirts

5 pairs equal 1 pair.

hoodies= 3

The formula to determine how many ways there are in a combination is = C. (n,r)

The number of possible outfit combinations is equal to C(n,r)* C(n,r)* C(n,r)* C (n,r)

=> C(6,1)*C(8,1)* C(5,1)* C(3,1) (3,1)

=> 6*8*5*3

=> 720

Therefore , the solution to the given problem of combination comes out to be thus, we might deduce that Brooklyn has 720 options from which to choose.

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Answer:

720

Step-by-step explanation below:

Brainly pls

The inequality which represents the number of backpacks need to be sold is 40x - (10x + 12,000) ≥ 980. Factory should sell at least 433 backpacks in a week.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Selling price of 1 backpack = $40

Cost to make 1 backpack = $10

Operating expense per week = $12,000

Let x be the number of backpacks which are sold in a week.

Total revenue per week = 40x

Total expense per week = 10x + 12,000

Profit = Revenue - Expense

         = 40x - (10x + 12,000)

Factory's goal is to make a profit of at least $980 each week.

40x - (10x + 12,000) ≥ 980

This is the inequality that represents the number of backpacks need to be sold.

Solving the inequality,

40x - (10x + 12,000) ≥ 980

40x - 10x - 12,000 ≥ 980

30x ≥ 980 + 12,000

30x ≥ 12,980

x ≥ 432.67 ≈ 433

Hence factory must at least a total of 433 backpacks to meet it's weekly goal of $980.

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A child can receive 0.5 kg /ml of drug.

What is density?

It is the quantity of a substance per unit volume. A   quantity of mass is divided by volume, and we get a density of a particular substance.

A 66 lb. child can receive 1 meq/ kg of drug.

but the drug is available in 2 meq/ 4ml.

we need to divide kg by ml to estimate how much quantity is suitable.

From the standard unit, if we divide the quantity in kg by the quantity in ml we achieve a density of drug.

(1 meq / kg) / (2 meq/ 4ml) = 2 ml / kg

the above value is inversed, and we get a density.

the density of drug = 0.5 kg / ml

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Answer:

Volume = 2094.40 ft³ (2 d.p.)

Surface area = 1016.64 ft² (2 d.p.)

Step-by-step explanation:

If the diameter of a cone is 20 ft, then its radius is 10 ft since d = 2r.

[tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a cone}\\\\$V=\dfrac{1}{3} \pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}[/tex]

Given:

Substitute the given values of r and h into the formula for the volume of a cone and solve for V:

[tex]\implies V=\dfrac{1}{3} \pi \cdot 10^2 \cdot 20[/tex]

[tex]\implies V=\dfrac{1}{3} \pi \cdot 100 \cdot 20[/tex]

[tex]\implies V=\dfrac{1}{3} \pi \cdot 2000[/tex]

[tex]\implies V=\dfrac{2000}{3} \pi[/tex]

[tex]\implies V=2094.40\;\rm ft^3\;\;(2\;d.p.)[/tex]

[tex]\boxed{\begin{minipage}{4 cm}\underline{Surface Area of a cone}\\\\$SA=\pi r \left(r+\sqrt{h^2+r^2}\right)$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}[/tex]

Given:

Substitute the given values of r and h into the formula for the surface area of a cone and solve for SA:

[tex]\implies SA=10\pi \left(10+\sqrt{20^2+10^2}\right)[/tex]

[tex]\implies SA=10\pi \left(10+\sqrt{400+100}\right)[/tex]

[tex]\implies SA=10\pi \left(10+\sqrt{500}\right)[/tex]

[tex]\implies SA=10\pi \left(10+\sqrt{100\cdot 5}\right)[/tex]

[tex]\implies SA=10\pi \left(10+10\sqrt{5}\right)[/tex]

[tex]\implies SA=100\pi +100\sqrt{5}\: \pi[/tex]

[tex]\implies SA=1016.64\; \rm ft^2\;\;(2\;d.p.)[/tex]

Answer: $125

Step-by-step explanation:

$55 per tire (2)

$30 per hour of labor (0.5)

$55(2)+30(0.5)=$125

Answer:

$125

Step-by-step explanation:

2 tires =$110 ($55 each tire)

half an hour of labor=$15

Answer:

4

Step-by-step explanation:

9 , 13, 17, 21

9 + 4 = 13

13 + 4 = 17

17 + 4 = 21

Solving by function The NFL punished Ray Rice, Adrian Peterson, Tom Brady, and Ezekiel Elliott for a variety of reasons, but each of those reasons had to do with their personal lives.

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found.

By function

f(x) = 23x  243.2y + 23.2xy

we have Ray Rice struck his future wife. Adrian Peterson took part in kidnapping. In accordance with the NFL's Personal Conduct Policy, all of these players were suspended.

Also, both in arbitration and court, the NFL was successful in upholding these punishments.

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Using the Factor Theorem, it is found that none of these options represent a linear factor of f(x) = x³ + 7x² + 4x - 12.

The Factor Theorem states that if x - a is a factor of the polynomial y = f(x), then f(a) = 0.

The polynomial for this problem is defined as follows:

f(x) = x³ + 7x² + 4x - 12.

The numeric values for each of the options are given as follows:

As none of the values of a have f(a) = 0, none of these terms are linear factors of the polynomial x³ + 7x² + 4x - 12.

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The function that represents the charges  is [tex]t_{n}=[/tex] 10 + (n- 1 )12

The formula for the nth term is given by

        [tex]t_{n}=[/tex] a +(n-1)d

        [tex]t_{n}=[/tex] a +(n-1)d

        [tex]t_{n}=[/tex] 10 + (n- 1 ) 12

a ) First hour

n = 1

[tex]t_{1 }=[/tex] 10 + (1- 1 ) 12

   = 10

b ) Second  hour

n = 2

[tex]t_{2 }=[/tex] 10 + (2- 1 ) 12

   = 10 + 12

   = 22

c ) Third hour

n = 3

[tex]t_{3}=[/tex] 10 + (3- 1 ) 12

   = 10 + 24

   = 34

d ) Fourth hour

n = 4

[tex]t_{4 }=[/tex] 10 + (4- 1 ) 12

   = 10 + 36

    = 46

e ) Fifth hour

n = 5

[tex]t_{4 }=[/tex] 10 + (5- 1 ) 12

   = 10 + 48

    = 58

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If Jaxson makes a constant hourly wage (unit rate) and earns $62 for 4 hours of work, the table representing the relationship between the number of hours he works, and his total earnings is C. as follows:

Time       Pay

(Hours)

  4          $62.00

  5          $77.50

  6          $93.00.

The unit rate is the ratio of two values.

The unit rate is the average of the total value divided by the total units.

We can also describe the unit rate as the constant rate of change, the variable cost per unit, or the slope in a linear equation.

Time       Pay             Unit

(Hours)                      Rate

  4          $62.00      $15.50 ($62/4)

  5          $77.50      $15.50 ($77.50/5)

  6          $93.00     $15.50 ($93/6)

Thus, the unit rate of $15.50 is constant across all time hours that Jaxson works, making Option C to be correct.

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Answer:

Step-by-step explanation:

i dont know either

Answer:

[tex]\dfrac{155}{18} \pi \textrm{ cm}[/tex]

Step-by-step explanation:

This problem asks us to find the length of an arc ACB on the circumference of a circle with center O and a radius of 5 cm.

We first must solve for the total circumference (perimeter) of the circle. This is represented by the formula C = 2πr. Hence, the circumference of this circle is:

C = 2π(5) cm

C = 10π cm

Next, we have to find what fraction of 360º the major arc ACB is in order to deduce how much of the circle's total circumference the arc takes up.

[tex]\dfrac{(360 - 50)\textdegree}{360\textdegree} = \dfrac{31}{36}[/tex]

Finally, we can multiply the amount of circumference that arc ACB takes up by the length of the whole circumference to get the length of arc ACB.

[tex]\textrm{Length of arc } ABC = \dfrac{31}{36} \cdot 10\pi[/tex]

[tex]= \dfrac{310}{36} \pi[/tex]

[tex]= \dfrac{155}{18} \pi \textrm{ cm}[/tex]

Answer:

[tex]\textsf{Length of major arc $\overset{\frown}{ACB}$}: \;\; \boxed{\dfrac{155}{18}\pi\; \sf m}[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6.4 cm}\underline{Arc length}\\\\Arc length $= \pi r\left(\dfrac{\theta}{180^{\circ}}\right)$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $\theta$ is the angle measured in degrees.\\\end{minipage}}[/tex]

Angles around a point sum to 360°.  Therefore:

[tex]\begin{aligned}\implies m \angle BOA&=360^{\circ}-m \angle AOB\\&=360^{\circ}-50^{\circ}\\&=310^{\circ}\end{aligned}[/tex]

Therefore, the given values are:

To find the length of the major arc ACB, substitute the given values into the arc length formula:

[tex]\begin{aligned}\implies \overset{\frown}{ACB}&=\pi \cdot 5 \cdot \left(\dfrac{310^{\circ}}{180^{\circ}}\right)\\\\&=5\pi \cdot \dfrac{31}{18}\\\\&=\dfrac{155}{18}\pi\; \sf m\end{aligned}[/tex]

The value of the sales tax applied to the bill is $0.36

If we have an initial value A, and we increase it by a percentage X, then the new value (after the increase) is given by:

A' = A*(1 + X/100%).

Here we know that the bill before the tax and the tip (it will be the initial value) is:

A = $11.85

And a sales tax of 3% is applied to that bill, then the new amount is:

A' = $11.85*(1 + 3%/100%)

A' = $11.85*(1 + 0.03) = $12.21

The sales tax is equal to the difference between the amount above and the initial value of the bill.

tax = $12.21 - $11.85 = $0.36

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The statements are:

(a) If a linear system has n variables and m equations, then the augmented matrix has n rows equations = False

(b) A consistent linear system must have infinitely many solutions. = False

(c) If a row operation is done to a consistent linear system, the resulting system must be consistent = True

(d) If a series of row operations on a linear system results in an inconsistent system, the original system is inconsistent = True

(A) An equation with n variables. Order of the matrix is m*m=. enhanced matrix Instead of (m+1) rows, this matrix has m rows. Thus, the claim is false.

(b) Either a singular or infinite linear system that is consistent. This technology is reliable and offers a distinctive solution. Therefore, statement (c) is false. If a consistent linear system is subjected to a row operation, the new system must also be consistent. We are aware that the matrix's rank remains unchanged after conducting a row action. So, it is accurate.

(d) The initial system is inconsistent if a succession of row operations on a linear system yields an inconsistent system. We are aware that the resulting system is identical to the original system of linear equations after conducting a sequence of row operations. So, it is true.

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Answer:

Step-by-step explanation:

6:55 to 7 o'clock is 5 minutes.

from 7 to 8 is 60 minutes

from 8 to 8: is 15 minutes.

So, 5+60+15=80 minutes, also calls one hour and 20 minutes.

she ran for 3hours

06:55

08:15

14:60 therefore 14 is 2hours and 60 is 1hour

There is no evidence to reject the claim that there a difference in the proportion of people who think Red label is produced in Russia.

It should be noted that we want to test the claim at 5% level of significance. The z critical value at 5% level of significance for two tailed test is 1.96.

The test statistic is 0.5. Since the z critical value is greater than the test statistic we do not reject the null hypothesis at 5% level of significance.

Therefore, we do not have enough evidence to reject the claim that there a difference in the proportion of people who think Red label is produced in Russia and the proportion of people who think Hennessy is produced in Russia.

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Answer:

x <= -5 or x >= 5.

Step-by-step explanation:

The boundary values (-5) and (5) contain closed circles to show that these values are included in the solution sets for the given inequalities.

Had our given compound inequality been:

   x < -5 or x > 5

Then the boundary values (-5) and (5) would have contained open circles to show that these values are not included in the solution sets for these inequalities.

Answer: one solution

Step-by-step explanation:

y=-2x+4   y=2x

2x=-2x+4

4x=4

x=1

Answer:

Step-by-step explanation:

one

A: To find the intersection of the sets A and B, we need to find the elements that are common to both sets.

A = {x ∈ ℕ : 2 ≤ x < 19}

B = {x ∈ ℕ : x is even}

The intersection of the sets A and B is {x ∈ ℕ : 2 ≤ x < 19, x is even}

∩ = {4,6,8,10,12,14,16,18}

B: To find the difference of the sets A and B, we need to find the elements that are in set A but not in set B.

A = {x ∈ ℕ : 2 ≤ x < 19}

B = {x ∈ ℕ : x is even}

The difference of the sets A and B is {x ∈ ℕ : 2 ≤ x < 19, x is not even}

∖ = {3,5,7,9,11,13,15,17}

So the solution for A is ∩={4,6,8,10,12,14,16,18} and for B is ∖={3,5,7,9,11,13,15,17}

Answer:

x=3-3/5y

Step-by-step explanation:

5x+3y=15

5x=15-3y

x=(15-3y)/5

x=3-3/5y

Answer:

x= 3 y=5

Step-by-step explanation:

solving for x

5x + 3y = 15 Zero out the substitute

5x +( 3y * 0) = 15

5x + 0 = 15 Adding by zero can be ommited

5x = 15 Divide both side by 5

x = 3

if solving for y

5x + 3y = 15

(5x*0) + 3y = 15 zero out the substitute

0 + 3y = 15

3y = 15 devide by the number in front of x

y= 5

The mode is 2.

The mode is the value that appears often in a set of data values.

The mode is a way of expressing, in a single number, important details about a random variable. The numerical value of the model is the alike as that of the mean and median in a normal distribution, and it may be very different in highly skewed distributions.

Given Data :

84, 87,84,88,85,90,91

First, arranging the data in ascending order :

84, 84, 85, 87, 88, 90,91

Now, we have to find how many times this number occurs :

⇒ 84 occurs 2 times

⇒ 85 occurs 1 time

⇒ 87 occurs 1 time

⇒ 88 occurs 1 time

⇒ 90 occurs 1 time

⇒ 91 occurs 1 time

So, the mode is 2.

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On solving the provided question, we can say that  equation that has a solution of 4 is -8+16=0

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

If we solve   -8+16=0, we get

-4-4n+16=0

(-4)-4(-4)=0

(-4)(-4)=0

which give -4=0

=4

Hence, the equation  -8+16=0 has solution =4.

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Answer: The Fair Labor Standards Act (FLSA) establishes a rule about overtime that requires covered employers to pay their employees a premium rate for any hours worked over 40 in a workweek. The premium rate is one and a half times the regular rate of pay for the employee. This overtime rule applies to all non-exempt employees, meaning those who are eligible for overtime pay.

The outcome of multiplying by 8/3 is the same as multiplying with 8 and then by 1/3.

The two fractions that want to multiply come first when multiplying fractions.

For the stated number.

The number given is 8/3.

Other set of numbers are-

Multiplying 1/3 with 8.

= 1/3*8

= (1*8)/3

= 8/3, which is equal to the stated number.

Thus, the outcome of multiplying by 8/3 is the same as multiplying with 8 and then by 1/3.

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Answer:

[tex]w(z(7))=189[/tex]

Step-by-step explanation:

[tex]z(7)=7+5=12 \\ \\ w(z(7))=w(12)=12^2+4(12)-3=189[/tex]

Answer: yo wyd ?

Step-by-step explanation: pull up

The maximum and minimum x-coordinates at the point of inflection are, respectively,[tex]$\left(\frac{\pi}{4}+2 \pi n, \sqrt{2}\right)$[/tex] and [tex]$\left(\frac{5 \pi}{4}+2 \pi n,-\sqrt{2}\right)$[/tex], and the function f is defined as f(x)=cos x+sin x for 0≤x≤ 2.

[tex]$\frac{d}{d x}(\cos (x)+\sin (x))$[/tex]

Continuity of [tex]$\cos (x)+\sin (x): \quad 2 \pi$[/tex]

Domain of [tex]$\cos (x)+\sin (x):\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$[/tex]

Range of [tex]$\cos (x)+\sin (x):\left[\begin{array}{cc}\text { Solution: } & -\sqrt{2} \leq f(x) \leq \sqrt{2} \\ \text { Interval Notation: } & {[-\sqrt{2}, \sqrt{2}]}\end{array}\right]$[/tex]

Axis points of interception [tex]$\cos (x)+\sin (x)$[/tex] [tex]: X Intercepts: $\left(\frac{3 \pi}{4}+2 \pi n, 0\right),\left(\frac{7 \pi}{4}+2 \pi n, 0\right)$,[/tex]

The Y intercept: (0,1)

the asymmetrical [tex]$\cos (x)+\sin (x)$[/tex] : None

Excessive Points of [tex]$\cos (x)+\sin (x): \quad$[/tex] Maximum [tex]$\left(\frac{\pi}{4}+2 \pi n, \sqrt{2}\right)$[/tex] ,  Minimum [tex]$\left(\frac{5 \pi}{4}+2 \pi n,-\sqrt{2}\right)$[/tex]

We put the second derivative of the function equal to zero to get the x-coordinate of the point of inflection. Re-inserting the x-coordinate into the initial function yields the point's y-coordinate.

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1000 ml of sodium silicate is used to make 10 liters soap

An equation is a expression that shows the relationship between numbers and variables.

The standard form of a linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept

Let y represent the amount of sodium silicate in x ml of liquid soap.

From the graph, using the points (1000, 100) and (3000, 300):

y - 100 = [(300 - 100)/(3000 - 1000)](x - 1000)

y - 100 = 0.1(x - 1000)

y = 0.1x

For 10 L (10000 ml)of soap:

y = 0.1(1000) = 1000 ml

1000 ml of sodium silicate is used to make the soap

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The reasons are  When two lines intersect, the angles formed opposite to each other are termed as vertical angles

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