PLEASE SOMEONE HELP!!

Answer:

x = -1, -4

Step-by-step explanation:

\(|2x+5|=3\)

Subtract 5 from both sides

\(|2x| = -2\)

Divide both sides by 2

\(x=-1\) (First solution)

\(|2x+5|=3\)

-2x = 8

x = -4

Answer:

x = 10/3

x = -3

Step-by-step explanation:

3x² - x = 30

3x² - x - 30 = 0

multiply 3 and -30 which =

-90

what are 2 numbers that when multiplied make

-90

and that when added make

-1

(-1 is the number in -x in the equation)

they are the numbers 9 and 10

namely -10 and +9

3(x-10/3)(x+9/3)=0

divide both sides by 3

(x-10/3)(x+9/3)=0

then split factors being multiplied

(x-10/3)=0

(x+9/3)=0

x = 10/3

x = - 9/3 = -3

The absolute minimum is (-1, -7/2) and the absolute maximum is (2, 4).

To locate the absolute extreme of f(x) = x^3 - 3/2x^2 on the interval [-1,2], we need to find the maximum and minimum values of the function within the given interval. To do this, we can start by finding the critical points of the function. Taking the derivative of f(x), we get: f'(x) = 3x^2 - 3x

Setting f'(x) = 0 and solving for x, we get the critical points x = 0 and x = 1. We can then evaluate the function at these points and at the endpoints of the interval [-1,2]:f(-1) = -7/2,  f(0) = 0,f(1) = -1/2 ,f(2) = 4

From these values, we can see that the minimum value of the function occurs at (x,y) = (-1, -7/2) and the maximum value occurs at (x,y) = (2, 4). Therefore, the absolute minimum is (-1, -7/2) and the absolute maximum is (2, 4).

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The value in the missing place is 10 after plugging the value of F = 0.833; the answer is 10.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

0.83 = F

0.83 is a repeating decimal

Multiply by 10 on both sides:

10x0.83 = Fx10

8.33 = ? F

Plug F = 0.833

8.33 = ? (0.833)

? = 0.833/0.833

? = 10

8.33 = (10) F

Thus, the value in the missing place is 10 after plugging the value of F = 0.833; the answer is 10.

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Answer:

the hardcover is 19.95, and the parback is 6.65. enjoy.

First solve for the slope, m using the two points given. It doesn't matter which point you choose as point 1 or 2 as long as you're consistent.

m = (y2 - y1)/(x2 - x1)

point 1: (6.4, 2.6)

point 2:  (5.2, 9)

m = (9 + 2.6)/(5.2 + 6.4)

m = (9 + 2.6)/(5.2 + 6.4)

m = 11.6/11.6

m = 1

put the newly found slope into the linear equation for m

y = (1)x + b

y = x + b

Now solve for the y-intercept, b

by putting one of the given points

9 = 5.2 + b

b = 9 - 5.2

b = 3.8

final equation:

y = x + 3.8

Answer:

a(n) = (-1)^n × 3^(-1+n)

Rounding to 3 decimal places, the primary root of (4-3i)^(1/5) is approximately:

(4-3i)^(1/5) = 1.380(cos(-0.129) + i sin(-0.129))

To find the primary root of the complex number (4-3i)^(1/5), we can use the polar form of complex numbers.

First, we need to find the modulus (or absolute value) and the argument (or angle) of the complex number (4-3i):

|4-3i| = sqrt(4^2 + (-3)^2) = 5

Arg(4-3i) = arctan(-3/4) = -0.6435 (rounded to 4 decimal places)

Next, we can write the complex number (4-3i) in polar form as:

4-3i = 5(cos(-0.6435) + i sin(-0.6435))

To find the primary root, we need to take the fifth root of the modulus and divide the argument by 5:

|4-3i|^(1/5) = 5^(1/5) = 1.3797 (rounded to 4 decimal places)

Arg(4-3i) / 5 = -0.1287 (rounded to 4 decimal places)

Finally, we can write the primary root in rectangular form by multiplying the modulus by the cosine of the argument divided by 5 for the real part and multiplying the modulus by the sine of the argument divided by 5 for the imaginary part:

(4-3i)^(1/5) = 1.3797(cos(-0.1287) + i sin(-0.1287))

Rounding to 3 decimal places, the primary root of (4-3i)^(1/5) is approximately:

(4-3i)^(1/5) = 1.380(cos(-0.129) + i sin(-0.129))

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The value of t in the trigonometric equation are The value of t is cos-1(-3 ± 1)

The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

One of the most significant areas of mathematics is trigonometry. The terms "Trigonon" and "Metron," which imply triangle and measure respectively, are combined to produce the word "trigonometry." It is the examination of how a right-angled triangle's sides and angles relate to one another. It is therefore helpful to use formulae and identities based on this connection to determine the measure of a right-angled triangle's unknown dimensions.

In trigonometry, there are six fundamental ratios that are used to create a connection between a right triangle's side-to-angle ratio and its angle. If the angle created by the base and hypotenuse of a right-angled triangle is, then

sin θ = Perpendicular/Hypotenuse

cos θ = Base/Hypotenuse

tan θ = Perpendicular/Base

Now,

sin2(t) = Gcos(t)

I — cos2(t) — 6cos(t) = O

cos(t) = -3 ± 1

The value of t is cos-1(-3 ± 1)

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Therefore, approximately 408 packages of paper can be put on the shelf.

Area is a measure of the amount of space inside a two-dimensional shape or surface. It is usually expressed in square units such as square meters, square inches, or square feet. The area of a shape can be found by multiplying the length of the shape by its width. The concept of area is used in many areas of mathematics and in a wide range of real-world applications, including architecture, engineering, physics, and geography. The ability to calculate the area of a shape is an important skill in many fields and is a fundamental concept in geometry.

Here,

To solve this problem, we need to find the number of packages of paper that can fit on the warehouse shelf by dividing the total shelf area by the area of each package.

First, we need to convert the height of the shelf from feet and inches to inches:

1 foot = 12 inches

1' 5" = 1 * 12 + 5 = 17 inches

Next, we need to convert the length of the shelf from yards to inches:

1 yard = 36 inches

2 yards = 2 * 36 = 72 inches

Now we can find the area of the warehouse shelf:

Area = length * height

Area = 72 inches * 17 inches

Area = 1224 square inches

The area of each package of paper is:

Area = height * width

Area = 2 inches * 1.5 inches

Area = 3 square inches

Now we can find the number of packages of paper that can fit on the warehouse shelf:

Number of packages = Shelf area / Package area

Number of packages = 1224 square inches / 3 square inches

Number of packages ≈ 408

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Answer:

9:27

Step-by-step explanation:

Step-by-step explanation:

False there are 2 ways. I think this will help you.

9:27

Answer: x < -2 or x ≥ 4.

Step-by-step explanation:

In the graph, we can see that our set of numbers includes:

All the numbers larger than 4, and the 4 itself (because we have a colored dot in the 4)

Then this range of values can be represented with:

x ≥ 4.

(because this allows x to be larger than 4, or equal than 4)

Our set also includes all the numbers smaller than -2, where the -2 is not included because we have a white dot in the -2.

This can be represented as:

x < -2

Then our set can be described with:

x < -2 or x ≥ 4.

Then the correct option is the third one (counting from the top)

The area of the sector bounded by the 95° arc is approximately 379.94 square feet

To find the area of a sector bounded by a given arc, we need to know the radius and the central angle of the sector.

Given:

Radius (r) = 24 feet

Central angle (θ) = 95°

The formula to calculate the area of a sector is:

Area = (θ/360°) * π * r^2

Substituting the values into the formula:

Area = (95/360) * π * (24^2)

Area = (19/72) * π * 576

Area ≈ 379.94 square feet

Therefore, the area of the sector bounded by the 95° arc is approximately 379.94 square feet.

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The probability that student chosen at random is 16 years is 0.28.

The table shows the distribution of student by age in a high school with 1500 students. Therefore, the probability that randomly chosen student is  16 years can be found as follows:

Therefore,

probability = number of favourable outcome to age / total number of possible outcome

Hence,

probability that student chosen at random is 16 years =  420 / 150

probability that student chosen at random is 16 years = 0.28

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Answer: 3/6 + 2/6 = 5/6

Step-by-step explanation: 1/3 is equal to 2/6 then 3/6+ 2/6 equals 5/6

Answer:

x=-60/24 or -5/2

Step-by-step explanation:

u have to find X

2/4x - 1/2 = 1/3 + 5/6x

subtract 2/4x from both sides

to do that u need to have common denominator

2/4= 6/12

5/6=10/12

-1/2=1/3+4/12x

subtract 1/3 on both sides and u need common denominator

-1/2=-3/6

1/3=2/6

-5/6=4/12x

multiply 12/4 on both sides

x=-60/24

Answer:

x=-5/2

Step-by-step explanation:

2/4x-1/2=1/3+5/6x

-5/6x           -5/6x

2/4x-5/6x-1/2 =1/3

+1/2                  +1/2

6/12x-10/12x=2/6+3/6

-4/12x=5/6

x=5/6:(-4/12)=5/6*(-12/4)=-5/2

x=-5/2

The Central Limit Theorem states that as sample size becomes large as (a)the sampling distribution of sample means approaches normality.

The Central Limit Theorem states that as the sample size becomes larger, the sampling distribution of sample means approaches normality.

It means that if you take multiple samples of same size from a population, the distribution of sample means will be approximately normal. This is true regardless of shape of population distribution.

The Central Limit Theorem allows to use statistical methods that assume normality even when the population distribution is not normal .

Therefore, the correct option is (a).

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The given question is incomplete, the complete question is

The Central Limit Theorem states that as sample size becomes large as : Select One:

(a) the sampling distribution of sample means approaches normality

(b) the sampling distribution of sample means becomes larger

(c) the population distribution becomes normal

(d) the sample distribution becomes normal.

The average population between year 1 and year 10 is approximately 55,555 people.

To find the average population between year X and year Y, we need to first calculate the total population increase over that time period. We can do this by subtracting the population in year X from the population in year Y.

Population increase = Population in year Y - Population in year X

Once we have the population increase, we can divide it by the number of years between X and Y to get the average annual population increase.

Average annual population increase = Population increase / (Y - X)

Finally, to find the average population between year X and year Y, we need to add the average annual population increase to the population in year X.

Average population = Population in year X + Average annual population increase

For example, if the population of a city is expected to be 100,000 people after 10 years, and we want to find the average population between year 1 and year 10, we would do the following:

Population in year 1 = X = 50,000 (let's say)
Population in year 10 = Y = 100,000
Population increase = 100,000 - 50,000 = 50,000
Number of years between X and Y = 10 - 1 = 9
Average annual population increase = 50,000 / 9 = 5,555.56 (rounded)
Average population = 50,000 + 5,555.56 = 55,555.56 (rounded)

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The average population of the city between the starting year and 10 years later is estimated to be 625,000.

The average population of a city between two specific years, we will need to use the formula for calculating the arithmetic mean.

The sum of all the values divided by the number of values.

We will need to sum up the populations of the city for each year between the two given years and divide the result by the number of years included.
Let us assume that the population of the city in the year we are starting with is "P1" and the population after "n" years is "P2".

Therefore, the average population can be calculated as:
\(Average Population = (P1 + P2) / 2\)
The exact population figures for each year between the two given years, we will have to use an estimated population growth rate to make the calculation.

We can use the formula:
\(P2 = P1 \times (1 + r)^n\)
where "r" is the estimated annual growth rate and "n" is the number of years between the two given years.
Let's assume that the population of the city in the starting year is 500,000 and the estimated population after 10 years is 750,000. Using the formula, we can calculate the estimated annual growth rate as:
\(r = (P2 / P1)^{(1/n)} - 1   = (750,000 / 500,000)^{(1/10)} - 1   = 0.0473 or 4.73\%\)
The estimated annual growth rate, we can calculate the average population between the two given years using the formula:
\(Average Population = (P1 + P2) / 2 = (500,000 + 750,000) / 2 = 625,000\)

It is important to note that this is just an estimate based on the assumed growth rate, and the actual population may vary from this calculation.

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Answer:

3 horses and 4 ducks

Step-by-step explanation:

let h be the no. of horses and d be the no. of ducks

h+d=7

d=7-h

Since horses have 4 legs and ducks have 2 legs,

4h+2d=20

4h+2(7-h)=20

4h+14-2h=20

2h=6

h=3

d=4

Since it is based on actual facts, the likelihood that the baseball player will get a hit in his subsequent at-bat is an empirical probability (the number of times the player got a hit out of the total number of times at bat).

A. Because it is based on observable data, the likelihood that the baseball player will get a hit in his subsequent at-bat is an empirical probability (the number of times the player got a hit out of the total number of times at bat).

b. Because it is based on equally plausible events in a limited sample space, the possibility that any one of the five students will be picked at random to serve as the spokesperson is a classical probability.

c. Because it is based on equally likely occurrences in a limited sample space, the chance of winning the $1 million prize in the Lotto Canada lottery is a classical probability.

d. The likelihood of an earthquake in northern California with a magnitude of 11.0 or higher during the next ten years is susceptible to interpretation because it is based on expert opinion rather on data collected from observation or equally plausible outcomes.

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Correlation coefficients examine the relationship between variables.

They help in determining the strength and direction of the association between two continuous variables, making it easier to understand and interpret their connection.

Correlation coefficients are statistical measures used to examine the relationship between two or more variables. The correlation coefficient quantifies the degree to which the variables are related or associated with each other.

A positive correlation coefficient indicates that when one variable increases, the other variable also tends to increase, while a negative correlation coefficient indicates that when one variable increases, the other variable tends to decrease.

A correlation coefficient of zero indicates no relationship between the variables.

Correlation coefficients are often used in research studies to examine the strength and direction of the relationship between two variables.

For example, in a study examining the relationship between exercise and weight loss, a correlation coefficient could be calculated to determine how strongly exercise and weight loss are related.

It is important to note that correlation does not imply causation, and a strong correlation between two variables does not necessarily mean that one variable causes the other.

Correlation coefficients are simply used to describe the relationship between two variables and to identify patterns in the data.

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Answer:

B) 34°

Step-by-step explanation:

Answer:

B) 34°

Step-by-step explanation:

∠B = 180° - 144°

∠B = 36°

∠D = 180° - (110° + 36°)

∠D = 180° - 146°

∠D = 34°

If the gross income per month is $4000 , then the monthly disposable income will be $2920   .

To find the monthly disposable income, we subtract the various taxes from the gross income.

The Federal tax is = 10% of $4000 = $400  ;

The State tax is = 7% of $4000 = $280  ;

The City tax is = 3% of $4000 = $120  ;

and the Social security tax is = 7% of $4000 = $280  ;

So , the Total monthly tax is = $400 + $280 + $120 + $280 = $1080  ;

We know that the Monthly disposable income = Gross income - Total tax ;

⇒ Monthly disposable income = $4000 - $1080  ;

⇒ Monthly disposable income = $2920  .

Therefore, the monthly disposable income after taxes is $2920.

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Answer:

It took 5 hours

Step-by-step explanation:

45 = 10 + 7x

35 = 7x

5 = x