Mrs. Jones makes scented candles and wax warmers. The table shows the ratio of the number of candles to the number of wax warmers she makes. Candles 7 14 21 28 77 OC. 55 OD. 75 Wax Warmers 5 10 15 20 ? How many wax warmers will she make when she makes 77 candles? O A. 69 O B. 40​

Answer:

\( \frac{ - 1}{3} w \leqslant - 5\)

\(w \leqslant - 5 \div \frac{ - 1}{3} \)

\(w \leqslant - 5 \times - 3\)

\(w \leqslant 15\)

Answer:

Step-by-step explanation:

(2x + 5)(x + 5) = 0

2x + 5 = 0

2x = - 5

x = -5/2

x + 5 = 0

x = -5

Answer:

x=4

Step-by-step explanation:

2(8 - 12x) + 8x = -25x + 52

Distribute

16 -24x +8x = -25x +52

Combine like terms

16 - 16x = -25x +52

Add 25x to each side

16 -16x+25x = -25x+52+25x

16+9x = 52

Subtract 16 from each side

16+9x-16 = 52-16

9x = 36

Divide by 9

9x/9 = 36/9

x =4

Answer:

x = 4

Step-by-step explanation:

Remember to follow PEMDAS. PEMDAS is the order of operation and equals:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, distribute 2 to all terms within the parenthesis:

2(8 - 12x) = (2 * 8) - (2 * 12x) = 16 - 24x

Next, combine like terms. Like terms are terms with the same variables and the same amount of variables:

16 - 24x + 8x = -25x + 52

16 - 16x = -25x + 52

Isolate the variable, x. Add 25x and subtract 16 from both sides:

16 (-16) - 16x (+25x) = -25x (+25x) + 52 (-16)

-16x + 25x = 52 - 16

Combine like terms:

25x - 16x = 52 - 16

9x = 36

Isolate the variable, x. Divide 9 from both sides:

(9x)/9 = (36)/9

x = 36/9

x = 4

x = 4 is your final answer.

~

To calculate the net gain or loss, we need to consider both the realized and unrealized components. Therefore, the net gain/loss is -$20,000. This indicates a net loss of $20,000.

The net gain or loss is calculated by adding the realized gains or losses and the unrealized gains or losses:

Net Gain/Loss = (Realized Gain/Loss) + (Unrealized Gain/Loss)

Given the information provided:

Realized Loss = $40,000

Realized Loss = $10,000

Unrealized Gain = $30,000

Net Gain/Loss = (-$40,000) + (-$10,000) + $30,000

Net Gain/Loss = -$50,000 + $30,000

Net Gain/Loss = -$20,000

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The probability that it will come up heads on the next flip is  still 0.5 (or 50%), regardless of the previous five consecutive heads or any previous outcomes.

The probability of flipping a fair coin and getting heads is always 0.5 (or 50%) because the coin has no memory of previous flips.

Each flip of a fair coin is an independent event, meaning the outcome of one flip does not affect the outcome of subsequent flips.

Even if a fair coin has come up heads five times in a row, the probability of getting heads on the next flip remains 0.5 (or 50%).

The previous outcomes do not influence the outcome of the next flip. Each flip is a separate event with an equal chance of heads or tails.

The probability of the coin coming up heads on the next flip is still 0.5 (or 50%), regardless of the previous five consecutive heads or any previous outcomes.

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Given statement solution is :- We cannot find the missing value from the given options (3656, 2739, 1841, 5418, or 3556).

The given sequence is: 5 2 1 4 0 0 7 2 8 1 m m 7 m 5 m A.

To find the missing value, let's analyze the pattern in the sequence. We can observe the following pattern:

The first number, 5, is the sum of the second and third numbers (2 + 1).

The fourth number, 4, is the sum of the fifth and sixth numbers (0 + 0).

The seventh number, 7, is the sum of the eighth and ninth numbers (2 + 8).

The tenth number, 1, is the sum of the eleventh and twelfth numbers (m + m).

The thirteenth number, 7, is the sum of the fourteenth and fifteenth numbers (m + 5).

The sixteenth number, m, is the sum of the seventeenth and eighteenth numbers (m + A).

Based on this pattern, we can deduce that the missing values are 5 and A.

Now, let's calculate the missing value:

m + A = 5

To find a specific value for m and A, we need more information or equations. Without any additional information, we cannot determine the exact values of m and A. Therefore, we cannot find the missing value from the given options (3656, 2739, 1841, 5418, or 3556).

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Answer:9

Step-by-step explanation: 30= 2n + 12

Subtract 1Subtract12 from both sides

Divide both sides by 2

The least common denominator (LCD) of the rational expressions is (x+1)(x-1).

When adding or subtracting rational expressions, we need to find a common denominator. The least common denominator (LCD) is the smallest multiple of the denominators of the rational expressions.

To find the LCD, we follow these steps:

Let's consider an example to illustrate this process:

Example:

Find the LCD of the rational expressions:

x/(x+1) and 1/(x-1)

Step 1: Factor the denominators:

x+1 and x-1

Step 2: Identify the common factors:

There are no common factors in this case.

Step 3: Take the product of the highest powers of each common factor:

Since there are no common factors, we skip this step.

Step 4: Include any unique factors:

The unique factors are x+1 and x-1.

Step 5: Simplify the resulting expression:

The LCD is (x+1)(x-1).

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The least common denominator of the rational expressions in this problem is given as follows:

4x(x + 5).

The rational expressions for this problem are defined as follows:

9/(4x + 20), 10/(x² + 5x).

The denominators are given as follows:

The denominators can be simplified as follows:

The least common denominator is the multiplication of the unique factors, hence it is given as follows:

4x(x + 5).

The expression that completes this problem is given as follows:

9/(4x + 20), 10/(x² + 5x).

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Answer:

x = 107 , y = 60

Step-by-step explanation:

Each lower base angle is supplementary to the upper base angle on the same side, then

x + 73 = 180 ( subtract 73 from both sides )

x = 107

and

y + 2y = 180

3y = 180 ( divide both sides by 3 )

y = 60

Based on the given data, there is no significant difference between the means of the two samples at the 95% level.

To test whether there is a significant difference between the two samples, we can use the independent samples t-test. Here are the steps to perform the test:

Step 1: State the null hypothesis (H₀) and alternative hypothesis (H₁):

H₀: There is no significant difference between the means of the two samples.

H₁: There is a significant difference between the means of the two samples.

Step 2: Set the significance level (α):

In this case, the significance level is given as 95%, which corresponds to α = 0.05.

Step 3: Calculate the test statistic:

The test statistic for the independent samples t-test is given by:

t = (x₁ - x₂) / sqrt((s₁²/n₁) + (s₂²/n₂))

Where:

x₁ and x₂ are the sample means,

s₁ and s₂ are the sample standard deviations,

n₁ and n₂ are the sample sizes.

In this case, x₁ = 60, x₂ = 59, n₁ = 100, n₂ = 200, and σ = 50.

Step 4: Determine the critical value:

Since the significance level is 0.05 and the test is a two-tailed test, we divide the significance level by 2 to find the critical value. Using the t-distribution table or a statistical software, we find that the critical value for a two-tailed test with α = 0.05 is approximately 1.96.

Step 5: Compare the test statistic with the critical value:

If the absolute value of the test statistic is greater than the critical value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Let's calculate the test statistic:

t = (60 - 59) / sqrt((50²/100) + (50²/200))

Using a calculator or software, the test statistic is calculated as:

t ≈ 0.1407

Since the absolute value of the test statistic (0.1407) is less than the critical value (1.96), we fail to reject the null hypothesis.

Therefore, based on the given data, there is no significant difference between the means of the two samples at the 95% level.

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Answer:

its C

Step-by-step explanation:

x = 16250

hope it helps!

To solve the integral of 1/sqrt(x^2 - a^2) dx, we can use the substitution method. Let u = x^2 - a^2, then du/dx = 2x, and dx = du/2x.
Substituting into the integral, we get:

∫ 1/sqrt(x^2 - a^2) dx = ∫ 1/sqrt(u) * du/2x
= (1/2) ∫ 1/sqrt(u) du  

= (1/2) * 2sqrt(u) + C
= sqrt(x^2 - a^2) + C

Therefore, the answer to the integral of 1/sqrt(x^2 - a^2) dx is sqrt(x^2 - a^2) + C, where C is the constant of integration.

In summary, the integral of 1/sqrt(x^2 - a^2) dx can be solved using the substitution method, where u = x^2 - a^2. The final answer is sqrt(x^2 - a^2) + C, where C is the constant of integration.

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The integral of \(\frac{1}{\sqrt{x^2 - a^2}} dx\) is \(\ln\left|\frac{\sqrt{x^2 - a^2}}{a} + \frac{x}{a}\right| + C\), where C is the constant of integration

What is intergration?

Integration is a fundamental concept in calculus that involves finding the antiderivative or integral of a function. It is the reverse process of differentiation, which is concerned with finding the derivative of a function.

To find the integral of \(1/\sqrt(x^2 - a^2) dx\), we can use a trigonometric substitution. Let's substitute \(x = a sec(\theta)\), where \(sec(\theta)\) is the reciprocal of the cosine function.

By making this substitution, we can express dx in terms of \(d(\theta)\) as follows:

\(dx = a sec(\theta) tan(\theta) d(\theta)\)

Now, let's substitute these values into the integral:

\(\int \frac{1}{\sqrt{x^2 - a^2}} dx\\\\= \int \frac{1}{\sqrt{(a \sec(theta))^2 - a^2}} (a \sec(\theta) \tan(\theta)) d(\theta)\\\\= \int \frac{1}{\sqrt{a^2(\sec^2(theta) - 1)}} (a \sec(\theta) \tan(\theta)) d(\theta)\\\\= \int \frac{1}{\sqrt{a^2(\tan^2(theta))}} (a \sec(\theta) \tan(\theta)) d(\theta)\\\\= \int \frac{1}{a \tan(theta)} (a \sec(\theta) \tan(\theta)) d(\theta)\)

Simplifying the expression, we have:

\(= \int \sec(\theta) d(\theta)\)

The integral of \(sec(\theta)\) can be evaluated as the natural logarithm of the absolute value of \(sec(\theta)\) plus the tangent\((\theta)\):

\(= \ln|\sec(\theta) + \tan(\theta)| + C\)

Finally, substituting back \(x = a sec(\theta)\), we get:

\(= \ln|\sec(\theta) + \tan(\theta)| + C\\\\= \ln\left|\frac{\sqrt{x^2 - a^2}}{a} + \frac{x}{a}\right| + C\)

Therefore, the integral of \(\frac{1}{\sqrt{x^2 - a^2}} dx\) is \(\ln\left|\frac{\sqrt{x^2 - a^2}}{a} + \frac{x}{a}\right| + C\), where C is the constant of integration

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Answer:

I wish I knew the answer to this, I asked my grandmother too, she also doesn't know sorry

Answer:

ok so the graph tells you 24 seconds by 4 ounces

Step-by-step explanation:

The point where both lines meet is the point where they are both equal.

The point where both lines meet is (24,4)

Since the x-axis represents seconds the x-coordinate will represent the number of seconds it takes for them to be equal which is 24.

Since the y-axis represents ounces the y-coordinate will represent the number of ounces they have when they are equal which is 4.

Answer:

Degrees = Radians x 180/π

or

Degrees = 57.2958  x radians

Step-by-step explanation:

1 radian = 180/π degrees

1 radian = 57.2958 degrees

Multiply radians by this factor of 57.2958  to get the equivalent measure in degrees

π radians = 180°

2π radians = 360° which is the number of degrees in a circle

For anything greater than 2π radians you will have to subtract 360°

For example, 7 radians using the formula is 7 x (57.2958  ) ≈ 401.07°

But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Answer:

D

Step-by-step explanation:

bc it starts with -square root of 20 and then - square root of 6 and the 3.14 and then square root of 8 and then square root of 18

Answer:

\(a^3+3a^2b+3ab^2+b^3\)

Step-by-step explanation:

If have \((a+b)^3\), we can solve this as:

\((a+b)(a+b)(a+b)\)

So, applying distribution with the first two factors and simplifying, we get:

\((a^2+ba+ab+b^2)(a+b)\\(a^2+2ab+b^2)(a+b)\)

Then, multiplying both expressions and simplifying again, we get:

\(a^3+a^2b+2a^2b+2ab^2+b^2a+b^3\\a^3+3a^2b+3ab^2+b^3\)

Answer:

No

Step-by-step explanation:

$6 x 5 weeks = $30

$5 x 3 weeks = $15

$30+$15 = $45

He will not have enough for new snow pants. He would need $3 more.

Answer:

6

+

9

3

+

5

Step-by-step explanation:

Answer:

AB and CD would be 30

AC and BD would be 16

Step-by-step explanation:

The scale factor is what you multiply the sides by. Dilate means wider or larger so you multiply each side by the scale factor of 2 to get the higher scaled rectangle.

The side lengths on the new dilated rectangle will be 30cm and 16cm

Given the following parameters

If the length and breadth are dilated by a factor of 2, hence the new dimansion will be:

New length = 2(15) =30cm

New width =2(8) = 16cm

Hence the side lengths on the new dilated rectangle will be 30cm and 16cm

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The angle that maximizes the range of the projectile is either pi/4 or 5pi/4 (45 degrees or 225 degrees).

The range of a projectile is the horizontal distance it travels before hitting the ground. In the given parametric equations, the horizontal distance (range) traveled by the projectile can be found by setting y = 0 and solving for t.

0 = 50 sin(#)*t - 16t²

0 = t(50 sin(#) - 16t)

Therefore, the two possible values of t are t = 0 (when the projectile is launched) and t = (50 sin(#))/16.

The horizontal distance traveled by the projectile is given by the x-coordinate when t = (50 sin(#))/16:

x = 50 cos(#) * (50 sin(#))/16 = (25/8)*sin(2#)

To maximize the range, we need to find the angle (#) that maximizes the expression (25/8)*sin(2#).

The derivative of (25/8)*sin(2#) with respect to # is:

d/d# [(25/8)*sin(2#)] = (25/4)*cos(2#)

Setting this equal to zero to find the critical points:

(25/4)*cos(2#) = 0

cos(2#) = 0

2# = pi/2 + n*pi, where n is an integer

= pi/4 + (n/2)*pi, where n is an integer

Therefore, the angle that maximizes the range of the projectile is either pi/4 or 5pi/4 (45 degrees or 225 degrees).

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The equilibrium number of firms will be the smallest integer such that the price is 6 or higher. This occurs when n = 2. At this equilibrium, the price is P = 6, the output of each firm is y = 3/2, the industry's output is Y = 3, and the profit of each firm  = -2.

a) Supply curve of an individual firm

The price received by the individual firm will be P. Its demand curve is given by

D(p) = 20 - p.

Each firm chooses output to maximize its profit. Profit maximization occurs when the price is equal to the marginal cost. Mathematically,

P = MC(y)

4y = P

y = P/4

Thus the supply curve of the firm is y = P/4

b) The smallest price at which the product can be sold. The product can be sold at the minimum of the supply curve, which is y = 0, given P ≥ 0. Therefore the smallest price is P = 0.

c) Equilibrium price and output

Equilibrium occurs when each firm is producing at its profit-maximizing output given the output of other firms. Let the number of firms in the industry be n. The output of the industry is Y = ny. The industry supply curve is given by

S(P) = nP/4

The equilibrium price intersects the industry supply curve with the demand curve. Thus the equilibrium price satisfies

S(P) = Y

nP/4 = 20 - P

=> P = 80/(4 + n).

The equilibrium number of firms is the number that makes the industry supply curve equal to the demand curve. Thus

20 - P = nP/4

=> P = 80/(4 + n)

=> n = (80 - 20P)/P

= 20/P - 4.

Thus the equilibrium number of firms is a function of P and can range between 1 and infinity, but it must be an integer. The equilibrium output of each firm is given by

y = P/4 = 20/(4n + n²)

The equilibrium output of the industry is given by

Y = n

y = 5/P = (n² + 4n)/80.

d) Equilibrium number of firms with new demand curve D(p) = 21 - p.

The intersection of this curve with the marginal cost curve is at p = 21/5. This is greater than the minimum possible price of 0. Thus there is a positive profit to be earned in this industry, and new firms can enter the market.

e) Equilibrium price and output with new demand curve with the new demand curve D(p) = 21 - p, the industry supply curve and the equilibrium price are as given in part (d). The equilibrium output of each firm is given by y = P/4 = 21/20, and the equilibrium output of the industry is given by Y = 21/4.

f) Equilibrium number of firms, price, output, and profit with demand curve D(p) = 24 - p. This demand curve intersects the marginal cost curve at p = 6. The minimum possible price is P = 0. Thus there is a range of prices from 0 to 6 where firms can profit positively.

The equilibrium number of firms will be the smallest integer such that the price is 6 or higher. This occurs when n = 2. At this equilibrium, the price is P = 6, the output of each firm is y = 3/2, the output of the industry is Y = 3, and the profit of each firm is (6)(3/2) - (2)(2(3/2)² + 8) = -2.

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Sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to underestimate the true population variance and standard deviation.

The reason for this is that the sample variance and standard deviation are based on a sample of the population, not the entire population. The sample may not accurately represent the entire population, and thus the sample variance and standard deviation may not accurately reflect the true population variance and standard deviation. To correct for this bias, a correction factor is usually added to the sample variance calculation. For example, when estimating the population variance from a sample of size n, the sample variance is divided by (n-1) instead of n. This correction factor helps to provide a more accurate estimate of the population variance. Similarly, the sample standard deviation is calculated as the square root of the sample variance, and the correction factor is also applied to the sample standard deviation calculation. This corrected sample standard deviation is known as the unbiased sample standard deviation.

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Complete Question

sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to: What?

If y = -x + 2, then substituting this into the first equation lets you solve for x :

x + 4y = 5

x + 4 (-x + 2) = 5

x - 4x + 8 = 5

-3x = -3

x = 1

Now solve for y :

y = -x + 2 = -1 + 2 = 1

So the solution is indeed (x, y ) = (1, 1).

Step-by-step explanation:

what ? nothing makes any sense here.

please read your problem statement again and type it here again, letter by letter, digit by digit, symbol by symbol.

Answer: True false true false false

Step-by-step explanation:

Answer:

Step-by-step explanation:

True false true true

Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)