15n + 24 − 4(n − 3)+ 6 − 2n = 105

Answer:

0.9/3=0.3 First one

Step-by-step explanation:

0.9/3=0.3

The boxes are being divided into 3 equal parts and each section has 0.30 squares

Answer:

The answer is A: 0.9÷3=0.3

Step-by-step explanation:

The boxes are equally divided into thirds

Answer:

 3x - 20

Step-by-step explanation

          simplify 1/2

STEP 3

Pulling out like terms

3.1     Pull out like factors :

6x + 10  =   2 • (3x + 5)

Equation at the end of step

3 (3x + 5) -  25

Final result : 3x - 20

Answer:

C

Step-by-step explanation:

Given

| 6x - 5 | = 7

The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is

6x - 5 = 7 ( add 5 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

OR

- (6x - 5) = 7 ← distribute parenthesis on left side by - 1

- 6x + 5 = 7 ( subtract 5 from both sides )

- 6x = 2 ( divide both sides by - 6 )

x = \(\frac{2}{-6}\) = - \(\frac{1}{3}\)

Then solutions are x = 2, x = - \(\frac{1}{3}\) → C

The chocolate for 140 bon-bons would cost approximately $6.13.

1. Calculate the volume of each chocolate bon-bon using the formula for the volume of a sphere: V = (4/3)πr³, where r is the radius.

  V = (4/3)π(0.7 cm)³

  V ≈ 1.437 cm³

2. Determine the mass of each chocolate bon-bon using the density formula: density = mass/volume.

  density = 1.27 g/cm³

  mass = density * volume

  mass ≈ 1.27 g/cm³ * 1.437 cm³

  mass ≈ 1.826 g

3. Calculate the total mass of chocolate needed for 140 bon-bons.

  total mass = mass per bon-bon * number of bon-bons

  total mass ≈ 1.826 g * 140

  total mass ≈ 255.64 g

4. Determine the cost of the chocolate by multiplying the total mass by the cost per gram.

  cost = total mass * cost per gram

  cost ≈ 255.64 g * $0.04/g

  cost ≈ $10.2256

5. Round the cost to the nearest cent.

  cost ≈ $10.23

Therefore, the chocolate for 140 bon-bons would cost approximately $6.13.

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Answer:

16,800 in^3

Step-by-step explanation:

Volume of a box = length x width x height

or base area x height

672 x 25 = 16,800 in^3

The value of the tr(5ET - D) = -36.

To compute tr(5ET - D), where ET represents the transpose of matrix E and D is a given matrix, we need to perform the following operations:

Find the transpose of matrix E.

Multiply the transpose of E by 5.

Subtract matrix D from the result obtained in step 2.

Compute the trace of the resulting matrix.

Given:

E = | -4 -4 -3 |

| 3 0 0 |

| 1 0 0 |

D = | -2 -2 3 |

| -4 0 0 |

| 1 0 0 |

Transpose of matrix E:

ET = | -4 3 1 |

| -4 0 0 |

| -3 0 0 |

Multiply the transpose of E by 5:

5ET = | -4 3 1 |

| -4 0 0 |

| -3 0 0 | * 5

= | -20 15 5 |

| -20 0 0 |

| -15 0 0 |

Subtract matrix D from 5ET:

5ET - D = | -20 15 5 | | -2 -2 3 | | -20 -15 5 |

| -20 0 0 | - | -4 0 0 | = | -16 0 0 |

| -15 0 0 | | 1 0 0 | | -16 0 0 |

Compute the trace of the resulting matrix:

tr(5ET - D) = -20 - 16 + 0 = -36.

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Answer:

55%

Step-by-step explanation:

99+121=220

121/220 x 100= 55

Answer: 1. multiplication

Step-by-step explanation:

Suppose that you want to change an object with length L with a scale factor a, then the lenght of the rescaled object will be:

L' = a*L

Then the correct option is 1) multiplication.

Notice that sometimes you may find that the scale factor is a number like 1/5 and when you find the new lenght you will end with something like:

L' = L/5 that seems like a division, but this is actually the multiplication between L and 1/5.

Answer:

so the cell phone plan is $70 per month

Step-by-step explanation:

solution in question

Answer:

D,xy=-12

Step-by-step explanation:

y=x²+x-2

x+y=1

or x+x²+x-2=1

x²+2x-3=0

x²+3x-x-3=0

x(x+3)-1(x+3)=0

(x+3)(x-1)=0

either x=-3

or x=1

when x=-3

x+y=1

-3+y=1

y=1+3=4

one solution is (-3,4)

xy=-3×4=-12

if x=1

1+y=1

y=0

second solution is (1,0)

xy=1×0=0

Summarizing a number of survey questions into a single concept could be achieved with which type of analysis?

a. factor analysis

b. multiple discriminant analysis

c. multiple regression analysis

d. cluster analysis

Factor Analysis

The correct option is (a)

Now, According to the question:

Let's know:

What is factor analysis?

Factor analysis is a technique that is used to reduce a large number of variables into fewer numbers of factors. This technique extracts maximum common variance from all variables and puts them into a common score. As an index of all variables, we can use this score for further analysis.

Factor Analysis

The correct option is (a)

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The question is like this:

Summarizing a number of survey questions into a single concept could be achieved with which type of analysis?

a. factor analysis

b. multiple discriminant analysis

c. multiple regression analysis

d. cluster analysis

56 Is the answer.

Step-by-step explanation:

hopeit helps

\(\huge \color{pink} \boxed{x = 56 }\)

Step-by-step explanation:

\(\\ \\ \large\color{lime}\boxed{Given \: Question↣ \: by \: angle \: theorem \: find \: the \: value \: of \: x} \\ \\ \large\sf {triangle \: angle \: sum \: states \: that \: the \: three \: interior \: angles \: of \: any \: triangle \: add \: up \: to \: 180 \: degrees. \: } \\ \\ \large \sf{equation↣31 + 37 + 2x = 180}\\ \\ \large \sf{lets \: solve↣} \\ \\ \large \sf{⇒ \: 68 + 2x = 180}\\ \\ \large \sf{⇒2x = 180 - 68}\\ \\ \large \sf{⇒2x = 112}\\ \\ \large\sf{⇒x=\cancel\frac{112}{2}}\\\\ \large \sf{⇒x = 56}\)

\( \\ \\ \)

\(\large\color{cyan}{\boxed{\mathfrak{❥\:Glossy\:Pearl}}}\)

Therefore, the area of the entire circle is 45 square inches.

To find the area of the entire circle, we'll first determine the circle's radius using the given information about the sector. The formula for the area of a sector is:
Sector area = (central angle / 360°) × π × radius²
We know the sector area is 15 square inches, and the central angle is 120°. Let's use this formula to solve for the radius:
15 = (120° / 360°) × π × radius²
Now, let's find the radius and then calculate the area of the entire circle:
1. Divide both sides by (120° / 360°) × π:
radius² = 15 / ((120° / 360°) × π)
2. Simplify:
radius² = 15 / (⅓ × π)
3. Multiply by 3 to get rid of the fraction:
radius² = 45 / π
4. Take the square root of both sides:
radius = √(45 / π)
Now that we have the radius, let's find the area of the entire circle using the formula:
Area = π × radius²
Plug in the radius we found:
Area = π × (45 / π)
Area = 45 square inches

Therefore, the area of the entire circle is 45 square inches.

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Answer:

Step-by-step explanation:

Answer:

Slope is 1/2 and y intercept is -3 so it is a graph like this

The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:

y^2 / 25 - x^2 / a^2 = 1

where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.

Thus, the equation for the hyperbola is:

y^2 / 25 - x^2 / (400/9) = 1

or

9y^2 - 400x^2 = 900

The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.

To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.

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The pool has a total water capacity of 7.5 gallons.

Let's use "x" gallons to represent the volume of water the pool can contain.

Given:

A capacity of 1 cubic foot can hold 7.5 gallons of water.

Every 1,000 gallons of water in the pool needs 0.13 ounces of chlorine.

Set up the following proportion:

(7.5 gallons) / (1 cubic foot) = (x gallons) / (1 pool volume in cubic feet)

Cross-multiply the proportion:

7.5 * 1 = x * 1

x = 7.5

So, the pool holds is 7.5 gallons.

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Answer: No

Step-by-step explanation:

The sequence is not geometric or arithmetic because there is no common difference or common ratio between each term

The equivalent resistance of the circuit is given by:

D. 2 Ω

In this problem, there are two resistors in parallel, with resistances of 4 Ω, hence:

Req = 4 x 4/(4 + 4) = 16/8 = 2 ohms.

Hence option D is correct.

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(a) The mean number of buses arriving in any interval of minutes is λ = 1.

(b) The probability of buses arriving in a t-minute interval is P(X > 0) = 1 - P(X = 0), where X is a Poisson random variable with parameter λt.

(c) The probability of no buses arriving in a t-minute interval is P(X = 0) = \(e^{(-λt)}\) = \(e^{(-t)}\).

(d) The probability of at least one bus arriving in a t-minute interval is

P(X ≥ 1) = 1 - P(X = 0) = 1 - \(e^{(-t)}\).

To guarantee at least one bus with a certain percentage of probability, we need to solve the inequality:

where p is the desired probability. Solving for t, we get:

Therefore, the minimum wait time necessary to guarantee at least one bus with a probability of p is -ln(1-p) minutes.

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Fingerprinting is a technique used by forensic experts and crime scene investigators to identify individuals based on their unique fingerprints. Fingerprints are unique to each individual and have distinct ridge patterns that are used to identify individuals.

It is an effective way of identifying people because fingerprints remain the same throughout a person's life, unlike other physical characteristics.

When fingerprinting a person who is missing fingers, two notations that should be used on the fingerprint card are "amputation" and "absent." The notations on the fingerprint card should indicate that the fingers are missing due to amputation or absence.

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When fingerprinting a person missing fingers, the two notations that should be used on the fingerprint card are tented arch for a missing middle finger and amputation notation for a completely missing finger.

When fingerprinting a person who is missing fingers, two notations should be used on the fingerprint card:

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Answer:

3

Step-by-step explanation:

Step-by-step explanation:

There are FOUR queens in a deck of 52 cards

4/52 chance of selecting a queen =  1/13  chance  = .07692 chance

The equation in x and y is y = -2x - 3. The graph of the equation is a straight line with a negative slope, indicating a downward orientation.

To find the equation in x and y, we can start by rearranging the given expressions. We have =− and =− . Simplifying these equations, we can rewrite them as y = -2x and x + y = -3. Combining the two equations, we can express y in terms of x by substituting the value of y from the first equation into the second equation. This gives us x + (-2x) = -3, which simplifies to -x = -3, or x = 3. Substituting this value of x back into the first equation, we find y = -2(3), which gives us y = -6.

Therefore, the equation in x and y is y = -2x - 3. The graph of this equation is a straight line with a negative slope, as the coefficient of x is -2. A negative slope indicates that as the value of x increases, the value of y decreases. The y-intercept is -3, which means the line crosses the y-axis at the point (0, -3). The graph extends infinitely in both the positive and negative x and y directions.

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Answer:

no solution

Step-by-step explanation:

|-3x|=-30

Absolute value means take the non negative

An absolute value cannot be negative

There is no solution.

(a) To find the 71st percentile, we look up the corresponding z-score using a standard normal distribution table. The closest values to 0.71 are 0.7107 and 0.7112, which correspond to z-scores of 0.54 and 0.55, respectively. Since the value is closer to 0.7107, we use this z-score. Thus, the 71st percentile corresponds to a z-score of 0.54.

(b) Similarly, for the 29th percentile, we look up the corresponding z-score using a standard normal distribution table. The closest value to 0.29 is 0.2881, which corresponds to a z-score of -0.55. Thus, the 29th percentile corresponds to a z-score of -0.55.

(c) To find the 76th percentile, we look up the corresponding z-score using a standard normal distribution table. The closest values to 0.76 are 0.7557 and 0.7611, which correspond to z-scores of 0.68 and 0.69, respectively. Since the value is closer to 0.7611, we use this z-score. Thus, the 76th percentile corresponds to a z-score of 0.69.

(d) Similarly, for the 24th percentile, we look up the corresponding z-score using a standard normal distribution table. The closest value to 0.24 is 0.2394, which corresponds to a z-score of -0.73. Thus, the 24th percentile corresponds to a z-score of -0.73.

(e) To find the 7th percentile, we look up the corresponding z-score using a standard normal distribution table. The closest value to 0.07 is 0.0694, which corresponds to a z-score of -1.51. Thus, the 7th percentile corresponds to a z-score of -1.51.

Note: Interpolation is used to estimate values that are not explicitly listed in the standard normal distribution table. To interpolate, we find the closest values in the table and estimate the value in between them using the proportionality of the standard normal distribution.

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Answer:

233.3 repeating mg

Step-by-step explanation:

Your teacher was really kind to give you the equation.

9x=2100

divide both sides by 9

we get x= 233.3 repeating mg

The antibiotic given in each​ dose in every 4 hours will be 233.33 mg.

It is given that a patient is given 2100 milligrams of antibiotic over a period of 36 hours.

We have to find that how much antibiotic should be given in each​ dose if antibiotic is to be given every 4 hours.

What is the unitary method?

The unitary method is a method in which we find the value of a unit and then the value of the required number of units.

As per the question ;

In 36 hours dose given is equal to 2100 milligrams.

So,

In 1 hour dose given will be = 2100 / 36

Hence ;

In 4 hours dose given will be = \(\frac{2100}{36}\) × 4

= \(\frac{2100}{9}\)

= 233.33 mg of dose in 4 hours

Thus , antibiotic given in each​ dose in every 4 hours will be 233.33 mg.

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The question refers to the plot of the plate's function of the angle of inclination. When the hot side is tilted both upward and downward over the range of +90°, the discontinuous formulas must be used in different ranges of 0.

It refers to the plot of the function of the angle of inclination of a plate. It is a graph that shows the relationship between the angle of inclination and the plate's function. A plate is tilted on its hot side both upward and downward over a range of +90°. The graph shows that different discontinuous formulas are needed for different ranges of 0. A discontinuous formula refers to a formula that consists of two or more parts, each with a different equation. The two or more parts of a discontinuous formula have different ranges, such that each range requires a different equation. These formulas are used in cases where the same equation cannot be applied throughout the entire range.

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In the proof of Theorem 6.3, the minor detail (iii) states that if U is any open cover of X, then a countable subcover U' can be obtained. This implies that X is Lindelöf.

(iii) In detail, the proof shows that for any open cover U of X, a countable subcover U' can be constructed.

- For each point x in X, we choose a basic open set O_x from the countable base B such that x is contained in O_x and O_x is a subset of some set U_i in the cover U.

- Let V be the set of distinct basic open sets obtained from the previous step. V is countable since each O_x corresponds to a different element in V.

- We can then form the countable subcover U' by selecting one set U_i from U for each O_x in V, such that U' = {U_i : O_x is in V}.

- Since every point in X is covered by at least one set in V, and each set in V is associated with a set in U, U' is a countable subcover of U.

Therefore, by finding a countable subcover for any open cover U, the proof establishes that X is Lindelöf, satisfying the requirements of Theorem 6.3.

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