5x + 8 - 7x = -4x + 1
Choose 1 answer:
А
No solutions
Exactly one solution
Infinitely many solutions

Answer:

500m

Step-by-step explanation:

Given data

Frequency= 600,000 Hz

Speed= 300,000,000 m/s

We know that the formula for speed is

v=fλ

substitute

300,000,000=600,000λ

λ=300,000,000/600,000

λ=500 m

Hence the wave length is 500m

Answer:

$4752  was collected during that time

Answer:

$4752 was made in the 2 hour time period.

Hope this helps :)

Step-by-step explanation:

12 * 396 = 4752

Answer:

0.51

Step-by-step explanation:

0.55 - (0.9 - 0.8) x 4

0.55 - 0.1 x 4

0.55 - 0.4

0.51

Answer:

QN ⊥ PQ

Step-by-step explanation:

The additional information required to conclude that MNPQ is a rectangle is MP = QN, MP || QN, and PQ || MN.

A quadrilateral with equal angles and parallel opposite sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and width of any rectangle form serve as its two distinguishing attributes.

As per the given information in the question,

MP = QN and,

MN = QP

Now, the conditions that will conclude that MNPQ is a rectangle will be,

MP = QN

MP should be parallel to the side QN,

MP || QN

Also, side PQ should be parallel to the side MN

PQ || MN

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Answer:If you are following a area of a triangle is bxhx1/2 or bxh/2

1,800

Step-by-step explanation:100x36=3,600/2=1,800

Answer: all except C

Step-by-step explanation: cause 50% is a half of the 2nd number. Which means that the 1st number multiply by 2 it will be the 2nd number

If Jina used three times as many pounds of Type B coffee as Type A, then the amount of Type A coffee used is 27 pounds.

Let the number of pounds of type A coffee used in the blend be denoted by "x",

The shop used 3times as many pounds of type-B coffee,

So, the number of pounds of type B coffee used in the blend is = 3x.

The total cost of the blend is given as $503.55, and

We know that the cost of "type A" coffee is $5.75 per pound, and the cost of "type B" coffee is $4.3 per pound.

So, we can write the following equation,

⇒ 5.75x + 4.3(3x) = 503.55

Simplifying and solving for x, we get:

⇒ 5.75x + 12.9x = 503.55

⇒ 18.65x = 503.55

⇒ x = 27

Therefore, Jina used 27 pounds of type A coffee in the blend.

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The equivalent units for the Compounding Department for August 2019 is 57,000 pounds.

Here is the explanation -

To calculate the equivalent units for the Compounding Department in August 2019 using the weighted average method, we need to consider the units that were started and completed, as well as the ending work-in-process.

Step 1: Calculate the equivalent units for units started and completed:
- 36,000 pounds were started.
- 34,000 pounds were transferred out.
Equivalent units for units started and completed = 34,000 pounds.

Step 2: Calculate the equivalent units for ending work-in-process:
- Ending work-in-process was 70% processed.
- Beginning work-in-process was 2,000 pounds (60% processed).
Equivalent units for ending work-in-process = (70% x Ending work-in-process) + (60% x Beginning work-in-process)
Equivalent units for ending work-in-process = (70% x 2,000 pounds) + (60% x 36,000 pounds)
Equivalent units for ending work-in-process = 1,400 pounds + 21,600 pounds
Equivalent units for ending work-in-process = 23,000 pounds.

Step 3: Calculate the total equivalent units:
Total equivalent units = Equivalent units for units started and completed + Equivalent units for ending work-in-process
Total equivalent units = 34,000 pounds + 23,000 pounds
Total equivalent units = 57,000 pounds.

Therefore, the equivalent units for the Compounding Department for August 2019 is 57,000 pounds.

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The product of two integers is always positive is not true.

What is product?

One of the four fundamental operations of arithmetic is multiplication. The other three are addition, subtraction, and division. A product is what is produced when you multiply two numbers.

Consider the given statement

The product of two integers is always positive.

The given statement is not always true.

Example:

Consider, the product of integers 2 and 5

2 x 5 = 10 it is true.

Counterexample:

Consider, the product of integers 3 and -4

3 x (-4) = -12

-12 is not a positive number.

Hence, the product of two integers is always positive is not true.

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Answer:

download graphing calc, it'll help u sm

Step-by-step explanation:

　　°　　　•　　.°•　　　 ✯

　　　★　*　　　　　°　　　　 　°·　　                          

.　　　•　° ★　•  ☄

▁▂▃▄▅▆▇▇▆▅▄▃▁▂

Answer:

1

Step-by-step explanation:

Given \(a\), half the length of the major axis, and \(b\), half the length of the minor axis for an ellipse, its eccentricity is \(\displaystyle e=\sqrt{1-\frac{b^2}{a^2}}\), which tells us how close the ellipse is to the shape of a circle or how flat and round it is. An infinitely long ellipse would have an infinitely long major axis, so the greater the \(a\) value, the eccentricity gets infinitely closer to 1.

Probability of defect: 0.0027. Probability of defect: 0.00006.  Advantage of reducing process variation is that it results in a larger distance between the mean and the control limits, which makes it easier to identify and correct issues.

Using the normal distribution with a mean of ounces and a standard deviation of , the probability of a defect is the area under the curve outside the control limits, which is approximately 0.0027 or 0.27% (to 4 decimals). The number of defects in a production run would depend on the sample size and the proportion of defective items in the sample.

With a reduced standard deviation of , the probability of a defect is now approximately 0.00006 or 0.006% (to 4 decimals). In a production run of parts, the number of defects would be expected to be much lower than in part a, again depending on the sample size and the proportion of defective items in the sample.

The advantage of reducing process variation is that it allows for greater control limits, which means that more items can be produced within the control limits and fewer will be classified as defects. This can lead to higher quality products, lower production costs, and greater customer satisfaction.

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One ounce of food contains average  about 28 grams of carbs.

One of the three macronutrients that the body needs for energy, carbohydrates can be found in a wide variety of foods. Sugar, starch, and fiber are the three elements that make up carbohydrates. Weight is measured in ounces, which weigh 28.35 grams. As a result, one ounce of food contains about 28 grams of carbs. Carbohydrates are crucial for supplying the body with the 4 calories per gram of energy it needs to function, fuel physical activity, and help with digestion. Foods like fruits, vegetables, grains, nuts, and dairy products all naturally include ounces of carbs. It is crucial to remember that there are several kinds of carbs, some of which are healthier than others.

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The complete question is

How many grams of carbs in an ounce of food ?

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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A) -3

B) 5

C) -2

D)-6

i have to write 20 characters so sisiasskklsa

Answer:

a) -3

b)5

c)-2

d)-6

Step-by-step explanation:

4 - 7 =-3

4 is positive and 7 is negative

a positive minus a negative is equal to a negative

3 is negative and 8 is positive, but 8 is bigger than 3, so take the sign of the bigger number which is 8.

c) is the same as question b

same signs rule

a negative + a negative is = to negative

positive and a positive is = to a positive

a negative +/_ a positive = a negative

Answer:

4

Step-by-step explanation:

Answer:

\(\displaystyle h'(x) = \cos (x) f'(\sin x)[2 + f(\sin x)]'''\)

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Addition/Subtraction]:                                                         \(\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]\)

Derivative Rule [Basic Power Rule]:

Derivative Rule [Chain Rule]:                                                                                 \(\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)\)

Step-by-step explanation:

Step 1: Define

Identify.

\(\displaystyle h(x) = [2 + f(\sin x)]''\)

Step 2: Differentiate

From here, if you would like, you can take the 3rd derivative of the last piece.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

(A) sample of 13 mature female pink seaperch was collected in winter, with a mean length of 109 millimeters and a standard deviation of 11 millimeters.

(B)  The critical value(s) and rejection region(s) are determined based on the significance level of 0.10 and the degrees of freedom

(c) The standard test statistic, also known as the t-value, is calculated using the formula:

t = (mean₁ - mean₂) / sqrt[(s₁²/n₁) + (s₂²/n₂)]

In order to determine whether the mean length of mature female pink seaperch is different in fall and winter, a hypothesis test is conducted with a significance level (alpha) of 0.10. The marine biologist collected a sample of 14 mature female pink seaperch in fall, with a mean length of 113 millimeters and a standard deviation of 10 millimeters. Another sample of 13 mature female pink seaperch was collected in winter, with a mean length of 109 millimeters and a standard deviation of 11 millimeters.

To support or refute the biologist's claim, the following steps are taken:

(b) The critical value(s) and rejection region(s) are determined based on the significance level of 0.10 and the degrees of freedom. Since the sample sizes are relatively small and the population variances are assumed to be equal, the appropriate test statistic to use is the t-distribution. The critical values are obtained from the t-distribution table or a statistical software. The rejection region(s) correspond to the extreme values in the tails of the t-distribution.

(c) The standard test statistic, also known as the t-value, is calculated using the formula:

t = (mean₁ - mean₂) / sqrt[(s₁²/n₁) + (s₂²/n²)]

where mean₁ and mean₂ are the sample means, s₁ and s₂ are the sample standard deviations, and n₁ and n₂ are the sample sizes.

By plugging in the given values, the standard test statistic is calculated.

In order to reach a conclusion about the biologist's claim, the test statistic is compared to the critical value(s) obtained in step (b). If the test statistic falls in the rejection region, the null hypothesis (mean length is the same in fall and winter) is rejected, providing support for the biologist's claim. Conversely, if the test statistic falls outside the rejection region, there is not enough evidence to support the claim, and the null hypothesis cannot be rejected.

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The equation of parabola is f(x) = 7(x-3)² + 5

According to the question,

The parabola is like  f(x) = 7x²

Vertex of parabola = (3,5)

Equation of parabola = f(x) = a(x-h)² + k

f(x) = 7x² have vertex (0,0) mean h = 0 and k = 0

Putting h and k in the equation of parabola ,

f(x) = a(x-0)² + 0

f(x) = ax²

Comparing f(x) = ax²  with f(x) = 7x²

a = 7

So, equation of required parabola is given by f(x) = a(x-h)² + k

where vertex is (3,5) means h = 3 , k = 5

and we have calculated value of a =7

f(x) = a(x-h)² + k

Putting all together,

f(x) = 7(x-3)² + 5 is required equation of parabola

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Answer:

see below

Step-by-step explanation:

5x-2y= -10

Let y=0, and solve for x

5x = -10

Divide by 5

5x/5 = -10/5

x = -2

The x intercept is -2  or (-2,0)

Let x=0, and solve for y

-2y = -10

Divide by -2

-2y/-2 = -10/-2

y = 5

The y intercept is 5 or  (0,5)

Step-by-step explanation:

Order from least to greatest. -0.36, 0.65 , - 8/15, 1/5

-0.36 = -0.36

0.65 = 0.65

- 8/15 = - 0.533333

1/5 = 0.2

least to greatest:

- 8/15 , -0.36 , 1/5 , 0.65

Answer: I believe its 2

Step-by-step explanation:

Start on the top, 4 squared is 16, then divided by two is 8, plus 6 is 14, then on the bottom 4+3 equals 7 so then you get, 14/7 and that equals 2.

hope this helps

If using the method of completing the square to solve the quadratic equation number 1 be added to both side of the equation to be added to "complete the square".

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. The requirement that the coefficient of x² be a non-zero term (a 0) is necessary for an equation to qualify as a quadratic equation. The x² term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term.

Add 1 to both sides of the equation to get:

\(x^2+4x+4=1\)

The left hand side is now a perfect square:

\(x^2+4x+4=(x+2)^2\)

So we have:

\((x+2)^2=1\)

Hence:

\(x+2=\pm\sqrt{1} =\pm1\)

Subtract 2 from both ends to get:

x = -2 ± 1

That is:

x = -3 or x = -1.

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Answer:

17:14 or 17 to 14

Step-by-step explanation:

since you know there are 14 girls, subtract 14 from 31 and then you'll get 17. since its asking for a ratio of boys to girls not girls to boys, you put boys first, then girls. so your answer will be 17:14

De acuerdo con la información podemos inferir que si realizas un planteamiento directo y realizas las operaciones, obtendrás un resultado o solución al problema planteado.

Cuando realizas un planteamiento directo, estás presentando una situación o problema de manera clara y precisa. Luego, al realizar las operaciones necesarias, como cálculos matemáticos o análisis de datos, estarás aplicando los pasos necesarios para resolver ese problema.

Al finalizar las operaciones, obtendrás un resultado o solución que corresponde a la respuesta buscada en el planteamiento directo inicial. Este enfoque te permite abordar de manera sistemática y estructurada la resolución de problemas.

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The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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Step-by-step explanation:

d^2=(2^2)+(5^2)

=4+25

=29

d=√29 =4.58units

Answer:

x=4.8

Step-by-step explanation:

9.6 is the diameter, and x is the radius. The radius is half of the diameter, so 9.6/2.

x=4.8

The z-score for X = 48, given a population with a standard deviation of 8 and a mean of 40, is 1.

A bell-shaped curve, also known as a normal distribution, is a symmetric curve with a single peak resembling a bell. It is commonly used to represent data that follows a normal distribution pattern.

In the provided graph, the location of the mean (μ) is marked on the bell-shaped curve. Additionally, the numbers corresponding to each standard deviation, which are -1, -2, +1, and +2, are also indicated. These values represent the distance from the mean in terms of standard deviations.

To calculate the z-score for X = 48, we can use the z-score formula: $z = \frac{X - \mu}{\sigma}$, where X is the raw score, μ is the population mean, and σ is the population standard deviation.

Applying the formula to the given values, we have:

$z = \frac{48 - 40}{8} = 1$

Therefore, the z-score for X = 48 is 1.

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