Solve for x: −2x − 4 > 8 (1 point)


a: x −6
b: x > −6
d: x > −2
c: x −2

Answer:

A = 2512 cm²

Step-by-step explanation:

The surface area of a sphere is A = 2πr².  With d = 40 cm, r = 20 cm, and so the surface area of this sphere is A = 2(3.14)(20 cm)², which works out to  A = 2512 cm²

Answer:

Step-by-step explanation:

Answer:

8 full practice

Step-by-step explanation:

Given that :

Morning Practice hours Total = 12 hours

Afternoon practice hours total = 14 hours

practice length = 3 hours

Hence, Number of full practices attended :

practice hours / practice length

Morning : 12 / 3 = 4 practice sessions

Afternoon = 14 / 3 = 4.666 sessions

Hence, number of full practice completed = 4 + 4 = 8

Answer:

hope this helps .enjoy the rest of your day.

Let's see

seven eighths means 7/8

So

Forty two eighths

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

It is not possible to find the triangular formula of a pentagon because a pentagon is a polygon with five sides and does not have a triangular formula.

We have,

A triangular formula is used to calculate the area of a triangle, which is a polygon with three sides.

The formula for the area of a triangle is given by:

Area = 1/2 x base x height

where the base and height are two of the sides of the triangle.

If you want to calculate the area of a pentagon, you can use the formula for the area of a regular pentagon, which is given by:

Area = (5/4) x s² x tan(π/5)

where s is the length of one of the sides of the Pentagon.

Thus,

It is not possible to find the triangular formula of a pentagon because a pentagon is a polygon with five sides and does not have a triangular formula.

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A sample size of at least 1,521 Internet users would be necessary to estimate the proportion of interest (the proportion of Internet users who are willing to pay fees for website access) to within 2 percent in a 95 percent confidence interval.

To calculate the sample size required to estimate a proportion with a certain level of confidence and margin of error, we can use the following formula:

\(n = (Z^2 \times p \times (1 - p)) / E^2\)

where:

n is the required sample size

Z is the Z-score for the desired level of confidence (95% confidence corresponds to a Z-score of 1.96)

p is the estimated proportion of interest (the proportion of Internet users who are willing to pay fees for website access)

E is the desired margin of error (2% in this case, expressed as a decimal)

We are given that out of a sample of 13,000 Internet users surveyed in 1995, 2,938 were definitely not willing to pay fees for website access. This means that the proportion of interest (p) is:

p = (13,000 - 2,938) / 13,000 = 0.774

Now we can plug in the values and solve for n:

\(n = (1.96^2 \times 0.774 \times (1 - 0.774)) / 0.02^2\)

n ≈ 1,521

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The probability of the horse winning the race is 0.95 when the odds of a horse winning a race are 20 to 1.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The three different categories of probabilities are axiomatic, experimental, and theoretical. Based on formulas and input quantities, the theoretical probability determines the likelihood. Based on the experimental values used in the computation, the experimental probability provides a realistic number. The results of theoretical and experimental probabilities frequently diverge. Additionally, the axiomatic probability is founded on the axioms that control probability notions.

Given,

The odds of a horse winning a race are 20 to 1.

The probability of the horse winning the race is:

20/21

0.95

The probability of the horse winning the race is 0.95 when the odds of a horse winning a race are 20 to 1.

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The value of k in the given arithmetic sequence is equal to 2

An arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

The nth term of an arithmetic sequence is derived using; aₙ = a + (n - 1)d where a is the first term and d the common difference

Given the first term as 3k + 1, we have that;

a₁ = a + (1 - 1) d = 3k + 1

a₁ = a = 3k + 1

for the second term k, substituting 3k + 1 for a;

a₂ = 3k + 1 +(2 - 1)d = k

3k - k = -1 - d

2k = -1 - d...(1)

for the third term -3; substituting 3k + 1 for a;

a₃ = 3k + 1 +(3 - 1)d = -3

3k + 1 + 2d = -3

3k = -4 - 2d ...(2)

using elimination method to remove d, we multiply equation (1) by 2 to get;

4k = -2 - 2d...(3)

we subtract equation (2) from (3);

4k - 3k = -2 - 2d - (-4 - 2d)

k = -2 -2d + 4 + 2d {2d is eliminated}

k = 4 - 2

k = 2

Therefore, the value of k for the arithmetic sequence is equal to 2.

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Step-by-step explanation:

To find this algebraic phrase, we need to use the rules of algebra to express the given statement in mathematical notation. The given statement says that the sum of three times the opposite of a number and -7 is some unknown value.

We can start by expressing the opposite of a number in mathematical notation. The opposite of a number is equal to the number multiplied by -1. So, we can write the opposite of a number as -x.

Next, we can express the fact that the opposite of a number is being multiplied by 3. To do this, we can simply write 3(-x) to represent three times the opposite of a number.

Finally, we can express the fact that -7 is being added to the result. To do this, we can simply write 3(-x) - 7 to represent the sum of three times the opposite of a number and -7.

Therefore, the algebraic phrase for the sum of three times the opposite of a number and -7 is 3(-x) - 7.

It has been determined that the continuous random variable X has a variance of 0.2500.

We need to utilise the formula Var[X] = E[X2] - (E[X])2 in order to compute the variance of X, where E[X] stands for the expected value of X. In this particular instance, we have already arrived at the conclusion that E[X] equals 1, as was decided in the inquiry that came before this one.

In order to get E[X2], we have to integrate x2 multiplied by the probability density function (pdf) of X throughout its range. This allows us to calculate E[X2]. In this particular scenario, the range is between 0 and 1. The integral of 3x2 from 0 to 1 is x3 evaluated at 1 and 0, which may be rewritten as 1 since it is simpler.

Therefore, the answer is 1 for E[X2].

When we put these numbers into the calculation for the variance, we get the result that Var[X] = 1 - (1)2 = 0.

The continuous random variable X has a variance of 0.2500 as a result of this.

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In the given situation:

The independent variable is: Time or months. Delilah's saving and accumulation of money depend on the passage of time.

The dependent variable is: Amount of money saved. The amount of money Delilah has saved is dependent on the number of months that have passed and her consistent savings of $15 each month.\(\)

Step-by-step explanation:

$9.6 for 20 shirts

$19.2 for 40 shirts

$28.8 for 60 shirts

expression : $ 4.8 * n

1000/4.8 = just do calculation and write answer

Answer:

20 96

40 192

60 288

b. 4.80 times n = cost

c. 208

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

B-value: The b-value is the middle number, which is the number next to and multiplied by the x; a change in the value of b affects the parabola and the resulting graph.

Answer:

78.67%

Step-by-step explanation:

295 percent of 375 is 78.67%

295/375 x 100 = 78.67%

a) To construct the table showing the values of the joint probability distribution of X and Y, we need to consider all possible combinations of X and Y based on the given information. Let's denote "S" for statistics, "M" for mathematics, and "P" for physics. The possible combinations are as follows:

X = 0, Y = 0: No statistics texts and no mathematics texts

X = 0, Y = 1: No statistics texts and one mathematics text

X = 0, Y = 2: No statistics texts and two mathematics texts

X = 1, Y = 0: One statistics text and no mathematics texts

X = 1, Y = 1: One statistics text and one mathematics text

X = 1, Y = 2: One statistics text and two mathematics texts

X = 2, Y = 0: Two statistics texts and no mathematics texts

X = 2, Y = 1: Two statistics texts and one mathematics text

X = 2, Y = 2: Two statistics texts and two mathematics texts

Now, let's calculate the probabilities for each combination:

P(X = 0, Y = 0) = (3/8) * (2/7) = 6/56

P(X = 0, Y = 1) = (3/8) * (2/7) = 6/56

P(X = 0, Y = 2) = (3/8) * (5/7) = 15/56

P(X = 1, Y = 0) = (3/8) * (3/7) = 9/56

P(X = 1, Y = 1) = (3/8) * (2/7) = 6/56

P(X = 1, Y = 2) = (3/8) * (5/7) = 15/56

P(X = 2, Y = 0) = (5/8) * (3/7) = 15/56

P(X = 2, Y = 1) = (5/8) * (2/7) = 10/56

P(X = 2, Y = 2) = (5/8) * (5/7) = 25/56

The table for the joint probability distribution of X and Y is as follows:

X = 0 6/56 6/56 15/56

X = 1 9/56 6/56 15/56

X = 2 15/56 10/56 25/56

b) To find the marginal distributions of X and Y, we sum the probabilities across the rows and columns, respectively.

The marginal distribution of X:

P(X = 0) = (6/56) + (6/56) + (15/56) = 27/56

P(X = 1) = (9/56) + (6/56) + (15/56) = 30/56

P(X = 2) = (15/56) + (10/56) + (25/56) = 50/56

The marginal distribution of Y:

P(Y = 0) = (6/56) + (9/56) + (15/56) = 30/56

P(Y = 1) = (6/56) + (6/56) + (10/56) = 22/56

P(Y = 2) = (15/56) + (15/56) + (25/56) = 55/56

The marginal distribution of X is (27/56, 30/56, 50/56), and the marginal distribution of Y is (30/56, 22/56, 55/56).

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The value of indefinite integral \(x^7 sin(x^8)dx\) is (-1/8)\(cos(x^8)\) + C, where C represents the constant of integration.

To evaluate the indefinite integral ∫\(x^7sin(x^8)\)dx, we can use a substitution technique. Let u = \(x^8\), then du = 8\(x^7\)dx, which implies dx = du / (8\(x^7\)). Substituting these values into the integral, we have:

∫\(x^7 sin(x^8)\) dx = ∫ (1/8\(x^7)\) sin(u) du

Now, the integral becomes:

(1/8) ∫ \(x^{-7}\) sin(u) du

Using the power rule of integration, the integral becomes:

(1/8) ∫ (1/\(x^7\)) sin(u) du

Next, we can integrate sin(u) with respect to u, giving us:

(1/8) ∫ (1/\(x^7\)) (-cos(u)) + C

Finally, substituting u back as \(x^8\) and simplifying, we get:

(1/8) (-cos(\(x^8\))) + C

Therefore, the indefinite integral of\(x^7 sin(x^8)\)dx is (-1/8)cos(\(x^8\)) + C, where C represents the constant of integration.

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Answer:

Step-by-step explanation:

what’s the answer?

The equation of the parabola in vertex form is \(y=(-1/4)(x + 3)^{2}\)

What is parabola?

By cutting a cone with a plane parallel to one of its sides, a curve known as a parabola is created. The directrix and focus of the parabola determine its shape. The directrix is a fixed line that is perpendicular to the plane and passes through the focus, and the focus is a fixed point on the plane.

The vertex form of the equation of a parabola that opens up or down is given by:

\(y = a(x - h)^{2} + k\)

where (h,k) is the vertex of the parabola.

We are given that the vertex is (-3,0), so we can plug in these values for h and k:

\(y = a(x - (-3))^{2} + 0\)

\(y = a(x + 3)^{2}\)

Now we need to find the value of a. We know that the parabola passes through the point (-8,-25/4). We can plug in these values for x and y and solve for a:

\(-25/4 = a(-8 + 3)^{2}\)

\(-25/4 = 25a\)

\(a = -1/4\)

Now we can substitute this value of a into our equation:

\(y = (-1/4)(x + 3)^{2}\)

So the equation of the parabola in vertex form is  \(y = (-1/4)(x + 3)^{2}\)

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Answer:

Step-by-step explanation:

The first step would be to determine if there are any common factors of 9 and 12. In this case, the factors of 9 are 1, 3, and 9; and the factors of 12 are 1, 2, 3, 4, 6, and 12. We want to pull out or divide each of the numbers in the equation by the largest common factor. In this instance, the largest common factor is 3.Therefore, the equation can be rewritten as 3(3s + 4). To check our work, multiply the 3x3s and add 3x4; you get back to the original statement of 9s + 12.

X value is  634 and X values that form the boundaries for the middle 40% of the distribution are 448 and 552  and also the probability of randomly selecting a score greater than X = 425 is 0.7734 or 77.34%

a) To find the X value that separates the highest 9% of the distribution from the rest of the scores, we need to find the z-score that corresponds to the 91st percentile (100% - 9% = 91%). We can use a standard normal distribution table or a calculator to find this z-score, which is approximately 1.34.

Once we have the z-score, we can use the formula:

X = µ + zσ

where X is the value we are trying to find, µ is the mean of the distribution, σ is the standard deviation, and z is the z-score we just calculated. Plugging in the values, we get:

X = 500 + 1.34(100) = 634

Therefore, the X value that separates the highest 9% of the distribution from the rest of the scores is 634.

b) To find the X values that form the boundaries for the middle 40% of the distribution, we need to find the z-scores that correspond to the 30th and 70th percentiles. Using a standard normal distribution table or a calculator, we find that these z-scores are approximately -0.52 and 0.52, respectively.

Using the same formula as before, we can find the corresponding X values:

X1 = 500 + (-0.52)(100) = 448

X2 = 500 + (0.52)(100) = 552

Therefore, the X values that form the boundaries for the middle 40% of the distribution are 448 and 552.

c) To find the probability of randomly selecting a score greater than X = 425, we first need to find the z-score that corresponds to this X value:

z = (X - µ) / σ

Plugging in the values, we get:

z = (425 - 500) / 100 = -0.75

Using a standard normal distribution table or a calculator, we find that the area to the right of this z-score (i.e., the probability of randomly selecting a score greater than X = 425) is approximately 0.7734.

Therefore, the probability of randomly selecting a score greater than X = 425 is 0.7734 or 77.34%.

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Answer:

If I did the equation right I think its the last one but I'm not completely sure

Step-by-step explanation:

The solution set of the equation is: x = -3, x = 3.

Given the equation, x² + 12 = 21, the solution set is the possible value of x that will make the equation true. To find the values of x, do the following as shown below:

x² + 12 = 21

Subtract 21 from both sides of the equation

x² + 12 - 21 = 21 - 21

x² + 12 - 21 = 0

x² - 9 = 0

Find the difference of the two squares

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

x = -3

x = 3

Therefore, the solution set of the equation is: x = -3, x = 3.

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Answer:

2

Step-by-step explanation:

to find the number of couches in the partially filled truck, divide 119 by 9

119/9 = 13.2222

so 13 cars will contain 9 couches packed fully

number of trucks partially filled = 119 - (13 x 9) = 2

This is an exercise in Newton's second law is one of the fundamental laws of physics and is used to describe the relationship between force, mass, and acceleration of an object. This law can be expressed mathematically as F = ma, where F is the net force applied to an object, m is its mass, and a is the acceleration produced. The law states that the acceleration experienced by an object is directly proportional to the net force acting on it and inversely proportional to its mass.

In other words, if the force acting on an object increases, its acceleration will also increase, and if the object's mass increases, its acceleration will decrease. This mathematical relationship is very useful in understanding how objects move and how forces affect their motion. Newton's second law is especially important for dynamics, the branch of physics that deals with the study of the movement of objects and its causes.

The law of force can be intuitively explained by observing how an object moves when a force is applied to it. If a force is applied to an object, such as pushing a box, the box will start to move in the direction of the applied force. If a larger force is applied, the box will move faster, and if a smaller force is applied, the box will move more slowly. If the box is heavier, it will take more force to move it at the same speed as a lighter box.

Newton's second law also states that the direction of the acceleration produced is the same as the direction of the applied force. For example, if a box is pushed to the right, the box will move to the right. If the box is pushed up, the box will move up. This relationship between the direction of force and the direction of acceleration is important in understanding how objects move in different situations.

In addition, Newton's second law is also important in understanding how forces are applied in different situations. For example, if a force is applied to a box at an angle, the box will move in a different direction than the applied force due to the breakdown of the force into horizontal and vertical components. The law of force can be used to calculate the components of force and determine how the object will move.

Newton's second law can also be used to understand the relationship between force and motion in nature. The law of force applies to all objects in the universe and is essential in understanding how planets, stars, and other celestial bodies move. For example, the gravitational force acting between two objects depends on the objects' mass and the distance between them, and this force determines how the objects move in space.

It tells us a model rocket has a mass of 0.1 kg, is pushed by the engine, and has an acceleration of 35 m/s².

We apply the formula F = m × a. We do not clear because it asks us to calculate the force, where:

F = Calculated force in Newton (N).

m = calculated mass in Kilograms (kg).

a = acceleration calculated in meters per second squared (m/s^2).

F = m  × a

F = 0.1 kg × 35 m/s²

F = 3.5 N

The amount of force that the motor exerts on the rocket is 3.5 Newtons.

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Answer:

You're going to need more to this question

Step-by-step explanation:

what is the rest of it

If a number is multiplied by 8 instead of 5, the product increases by 39

to find: the number

Let the number be x

Product of number is and 8 = 8x

Product of number is and 5 = 5x

A number is multiplied by 8 instead of 5, the product increases by 39

so,     8x-5x=39

         3x=39

          x=13

so,

Hence the number is 13

Multiplication is an arithmetic operation, where we find the product of two or more than two numbers.

The Number System contain any of the numerous sets of symbols and the rules for using them to denote numbers, which are used to state how many objects are there in a given set.

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Answer:

Step-by-step explanation:n1g4 a 103837 miles

Answer:

Step-by-step explanation:

we need that theta angle .. soooo.... use SOH CAH TOA  to remind yourself how the trig functions fit on the triangle.....

since we have all 3 side any one of the above trig functions would work.  as a side note.. Tan is limited to the 1st quadrant on a calculator.. so maybe Cos is a good choice. although it would work in this case....

sooo ....

Cos(Ф) = Adj / Hyp

Ф = arcCos( 24 /25)

Ф ≈16.26°

I don't have csc on my calculator but I know that  1/sin  = csc  sooo

csc(16.26)=1/sin(16.26) ≈ 3.57

sec(16.26)= 1/cos(26.26) ≈ 1.041

cot(16.26) = cos(16.26) / sin(16.26) ≈3.476

Answer:

csc(0)= 25/7

sec(0)= 25/24

cot(0)= 24/7

Step-by-step explanation:

The fraction which represent the number of sweaters Maggie knits in 8 days is 2/1 sweaters

Total number of sweaters Maggie knits = Sweaters Maggie knits per day × Number of days

= 1/4 × 8

= (1 × 8) / 4

= 8/4

= 2/1 sweaters

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