-6+-3-(-18)? what is the answer to this problem?

Answer:

Here you go

Step-by-step explanation:

Hope this helps :)

Answer:

204

Step-by-step explanation:

4+17=21

21+30=51

51:3

÷ 3

17:1

x 12

204:12

\(~~~~k^2-2k-8=0\\\\\implies k^2 - 2k +1^2-1-8=0\\ \\\implies ( k-1)^2-9=0\\\\\implies (k-1)^2-3^2 =0\\\\\implies (k-1-3)(k-1+3)=0\\\\\implies (k-4)(k+2)=0\\\\\implies k=4,~~ k= -2\)

Answer:

the answer is 9 :  )

Answer:

Step-by-step explanation:

(√9)²

3²= 3 · 3 = 9

the antiderivative of the function f(x) = 2 csc(x) cot(x) sec(x) tan(x) is F(x) = 2x + C.

To find the antiderivative F(x) of the function f(x) = 2 csc(x) cot(x) sec(x) tan(x), we can simplify the expression and integrate each term individually.

We know that csc(x) = 1/sin(x), cot(x) = 1/tan(x), sec(x) = 1/cos(x), and tan(x) = sin(x)/cos(x).

Substituting these values into the expression:

f(x) = 2 * (1/sin(x)) * (1/tan(x)) * (1/cos(x)) * (sin(x)/cos(x))

= 2 * (1/sin(x)) * (1/(sin(x)/cos(x))) * (sin(x)/cos(x)) * (sin(x)/cos(x))

= 2 * (1/sin(x)) * (cos(x)/sin(x)) * (sin(x)/cos(x)) * (sin(x)/cos(x))

= 2 * 1

= 2

The antiderivative of a constant function is simply the constant multiplied by x. Therefore:

F(x) = 2x + C

where C represents the constant of the antiderivative.

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Answer:

(a.)  8m

(b.) 12 cm

Step-by-step explanation:

a:

given: area of square = 64m²

formula of area of a square A = s²

We will reverse the formula to find the sum of the sides:

S = √A

S =√64

S = 8

b:

Given: perimeter of a square is 48 cm

formula for a perimeter of a square: P = 4 · s

We will reverse the formula to find the sum of the sides:

S = P ÷ 4

S = 48 ÷ 4

S = 12

Whenever possible, research should be designed so that the data can be anlyzed using option (a) statistics

-This includes both parametric tests (which assume that the data is normally distributed and meet certain assumptions) and non-parametric tests (which do not make these assumptions and are useful for non-normal data). SPSS is a software program commonly used for statistical analysis, but it is not necessary for conducting statistical analyses.

a. statistics

Research should be designed so that the data can be analyzed using statistics. Statistics provide a set of methods and tools for analyzing and interpreting data, which can help researchers draw meaningful conclusions from their findings. Statistical analysis can be used to identify patterns, trends, and relationships in data, as well as to test hypothesis and make predictions.

Depending on the research question, data type, and sample size, different types of statistical tests may be appropriate. Both parametric and non-parametric tests can be used to analyze data, depending on the assumptions made about the underlying distribution of the data and the level of measurement of the variables. SPSS is a statistical software program that can be used to perform statistical analysis, but it is not necessary for designing research studies or analyzing data.

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In a bigram model, the probability is computed using pairs of consecutive words in the document. The formula for computing this probability is P(w_i|w_{i-1}) where w_{i-1} is the first word and w_i is the second word in the pair.

Since this is a multinomial model, the number of parameters is equal to the size of the vocabulary raised to the power of two. Therefore, in this case, the number of parameters would be V^2. In a bigram model, the probability of a pair of consecutive words (bigram) is computed. The model estimates the probability of the second word given the first word. To determine the number of parameters in a bigram model with a vocabulary size of V, you need to consider all possible word pairs. Since there are V words in the vocabulary, there can be V possible first words and V possible second words for each first word. Therefore, the total number of parameters is V * V, or V^2.

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Decimal numbers that represent the same part of a whole or the same point on a number line are called equivalent decimals.

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False. The primary limitation of linear programming's applicability is the requirement that all decision variables be nonnegative.

Linear programming does have some limitations beyond the requirement that decision variables be nonnegative. The primary limitation is indeed the assumption of linearity. Linear programming assumes that the relationships between variables and constraints can be represented by linear equations or inequalities. However, in many real-world scenarios, relationships are not strictly linear and may exhibit nonlinearity or complex dynamics.

For example, in production processes, there might be diminishing returns or economies of scale, which introduce nonlinearities. Additionally, in optimization problems involving resource allocation or scheduling, there can be constraints with nonlinearity or discrete decision variables.

Another limitation is the scalability of linear programming. As the number of variables or constraints increases, solving the linear programming problem can become computationally expensive and time-consuming. This is particularly true for large-scale problems with thousands or millions of variables.

In some cases, the assumptions and limitations of linear programming can be overcome by using more advanced optimization techniques such as nonlinear programming or integer programming, which allow for nonlinearity and discrete decision variables. These techniques can handle a wider range of problems but may come with their own computational challenges.

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The correct option is (a).

Given that sin theta = 3/14 and theta is in the second quadrant, we can use the relationship between sine and tangent to find the value of tan theta.

tan theta = sin theta / cos theta

To find cos theta, we can use the Pythagorean identity:

cos^2 theta = 1 - sin^2 theta

Substituting the given value of sin theta:

cos^2 theta = 1 - (3/14)^2

cos^2 theta = 1 - 9/196

cos^2 theta = 187/196

Taking the square root of both sides:

cos theta = ± sqrt(187/196)

Since theta is in the second quadrant, cos theta is negative. Therefore:

cos theta = - sqrt(187/196)

Now we can calculate tan theta:

tan theta = sin theta / cos theta

tan theta = (3/14) / (- sqrt(187/196))

tan theta = - (3/14) * (sqrt(196/187))

tan theta = - (3/14) * (14/√187)

tan theta = - 3/√187

Simplifying the expression, we can rationalize the denominator:

tan theta = - (3/√187) * (√187/√187)

tan theta = - 3√187 / 187

So the answer is A. Negative square root of 187/14.

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The length of IKE is 2x - 12.

A condition on a variable that is true for just one value of the variable is called an equation.

Since KITE is a kite, we know that KT = IT and KE = IE. Let's call the length of these diagonals d. Then we have:

KT + TI = d

KE + EI = d

Substituting in the given values, we get:

x + 6 + 2x = d

2x + IE = d

Solving for d in the first equation, we get:

3x + 6 = d

Substituting this into the second equation, we get:

2x + IE = 3x + 6

Solving for IE, we get:

IE = x + 6

Therefore, IKE is equal to:

IKE = IT - IE

IKE = (d - KT) - (x + 6)

IKE = (3x + 6 - x - 6) - (x + 6)

IKE = 2x - 12

So, the length of IKE is 2x - 12.

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Answer:

25%    19.2%  45.0%

18.3%   16.7%   34.0%

11.7%     8.3%    20.7%

55.8%   44.2%   100%

explanation: hope it helps you guys

Answer:

30 strawberry cupcakes

Step-by-step explanation:

180 cupcakes in total

1/3 of 180 - 60 = vanilla

1/10 of 180- 18 = lemon

2/5 of 180 - 72 = chocolate

rest of 180 - 180-(72+18+60) = strawberry

rest of 180 - 180-150 = 30 = strawberry

Add all of them:

60 vanilla

18 lemon

72 chocolate

30 strawberry

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

180 cupcakes

Hope this helps!

Based on these calculations of driving 70 miles per hour for 4 hours, you must multiply 70 by 4.

70 x 4 = 280

For four hours of driving, the family drove 280 miles.

Answer:

About 9:10 I multiplied 9 time 60 with the remaining 10 and got that

Answer:

5y-15=180

5y=180+15

5y=195

5y÷5y=195÷5

y=39

The x- and y-coordinates of the center of mass are; (20, 0)

The center of mass is the location where the sum of the relative position of the masses in a mass distribution is zero. It is the point where force can be applied on the distributed mass without causing a rotation of the system.

The mas of the steel plate = 800 g = 0.8 kg

The base length of the isosceles triangular plate = 20 cm = 0.2 m

The height of the isosceles triangular plate = 30 cm = 0.3 m

Considering a small strip of height, dx and width, I, we get

Area of small strip, dA = I·dx

Density of the plate for a unit thickness, ρ = M/A

Density of the small strip of mass dm = dm/dA

Considering the density of the plate as uniform, we get;

\(\displaystyle {\frac{dm}{dA} =\frac{M}{A}\)

Therefore;

\(\displaystyle {dm=\frac{M}{A}\times dA}\)

The area of the triangular plate, A = (1/2) × 0.2 m × 0.3 m = 0.03 m²

Mass of the plate, M = 0.8 kg

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx}\)

The width of the small strip, I, located at a distance x from the vertex of the triangular plate, using similar triangles, indicates;

\(\dfrac{I}{20} = \dfrac{x}{30}\)

\(I=20\times \dfrac{x}{30} = \dfrac{2}{3} \cdot x\)

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx} = \frac{0.8}{0.03}\times \dfrac{2}{3} \cdot x\cdot dx}\)

The center of mass, \(x_{cm}\), can be obtained with the formula; \(\displaystyle {x_{cm} = \dfrac{1}{M} \cdot \int\limits {x} \, dm }\)

Therefore; \(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx }\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx } = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0\)

\(\displaystyle {x_{cm} = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0=\frac{200}{9} \times \frac{0.027}{3} =0.2\)

The location of the x-coordinate center of mass, \(x_{cm}\) = 0.2 m = 20 cm from the vertex, which is the same location as the x-coordinate of the centroid of the plate of uniform density.

The plate is symmetrical about the x-axis, therefore, the y-coordinate of the center of mass is along the x-axis, which is \(y_{cm}\) = 0

The coordinate of the center of mass = (0.2, 0)

Part of the question requires the location of the coordinate of the center of mass of the triangular plate

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After making equal monthly deposits of $453 for 11 years into a savings account earning 7.29 percent interest compounded monthly, Marc will have approximately $89,909.92 in his account.

To calculate the total amount of money in Marc's account at the end of 11 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount in the account,

P is the monthly deposit amount,

r is the annual interest rate (expressed as a decimal),

n is the number of times the interest is compounded per year, and

t is the number of years.

In this case, Marc makes monthly deposits of $453, the annual interest rate is 7.29 percent (0.0729 as a decimal), and the interest is compounded monthly (n = 12). The number of years is 11.

Using the formula, we can calculate the final amount:

A = 453(1 + 0.0729/12)^(12*11)

A ≈ 89,909.92

Therefore, at the end of 11 years, Marc will have approximately $89,909.92 in his savings account.

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Answer: Option 1

Step-by-step explanation:

Here, a = -3, b = -2, c = 6.

Answer:

Step-by-step explanation:

  25-60=35

Answer:

16 cups

Step-by-step explanation:

removing 20 % leaves 80%

80% * 20 cups

.8 x 20 = 16 cups

Answer:

Proportional

Explanation:

First, we find the unit rate for each of the pairs of points.

Since the unit rates are the same all though, her earnings are proportional to the number of hours she works.

Law of Syllogism

Law of Detachment

Sources: https://www.storyofmathematics.com/law-of-detachment/

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Refer to the attachment

a)0.1587 (or 15.87%)

b)0.6827 (or 68.27%)

c)0.0228 (or 2.28%)

1. Using the Normal Distribution formula with a mean (μ) of 64 inches and standard deviation (σ) of 10 inches, the probability of randomly selecting a female college student with a height less than 63 inches is 0.1587 (or 15.87%).

2. Using the Normal Distribution formula with a mean (μ) of 64 inches and standard deviation (σ) of 10 inches, the probability of randomly selecting a female college student with a height between 61 and 69 inches is 0.6827 (or 68.27%).

3. Using the Central Limit Theorem, the probability of finding an average of greater than 65 inches with a sample of 35 female college students is 0.0228 (or 2.28%).

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Therefore, the closest answer choice to Miguel's goal is 30 miles is 15 miles on Saturday and 15 miles on Sunday.

In conclusion, Miguel needs to ride a total of 30 miles on Saturday and Sunday to meet his goal.

Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.

Miguel plans to ride 30 miles over the weekend, covering 15 miles on each day. In terms of fractions, 15 and three-fifths miles represents 15.6 miles, while 45 and one-fifth miles represents 45.2 miles, 62 and one-half miles represents 62.5 miles, and 84 and two-fifths miles represents 84.4 miles.

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Answer:

5.12 in. by 7.68 in.

Step-by-step explanation:

In similar triangles, the ratios of the lengths of corresponding sides are equal.

width of medium triangle = 4/5 width of large triangle

width of medium triangle = 4/5(8 in.) = 6.4 in.

length of medium triangle = 4/5 length of large triangle

length of medium triangle = 4/5(12 in.) = 9.6 in.

width of small triangle = 4/5 width of medium triangle

width of small triangle = 4/5(6.4 in.) = 5.12 in.

length of small triangle = 4/5 length of medium triangle

length of small triangle = 4/5(9.6 in.) = 7.68 in.

The number of gallons required for 280 million cars is 1,555,556 gallons.

Given that, 1 ton makes 90 cars, there are 280 million cars needed

and 1 ton = 500,000 gallons of water.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. The proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let the number of gallons of water needed for 280 million cars be x.

Now, 90 : 500,000 :: 280 : x

⇒ 90x=500,000 × 280

⇒ x = 14,00,00,000/90

⇒ x = 1,555,555.555≈1,555,556 gallons

Therefore, the number of gallons required for 280 million cars is 1,555,556 gallons.

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