Which of the following is an irrational number?
√70
√16
√1
√81

Answer:

what's the question

Step-by-step explanation:

Answer:

-0.375

Step-by-step explanation:

You can write fractions as equations and solve for a decimal.

-3/8 = -3 ÷ 8

-3 ÷ 8 = -0.375

Answer:

I got you bro

Step-by-step explanation:

-0.38

The correct answer is A.

Vector b is not a linear combination of the vectors formed from the columns of the matrix A. The pivots in the corresponding echelon matrix are only in the first entry in the first column and the second entry in the second column. There are no pivots in the third and fourth columns.

A linear combination of the columns of a matrix can be used to solve a system of linear equations. In this case, the matrix A is given as:

1 - 5 -2 13
A = 3 4 - 10 2
   3 7

The echelon form of this matrix is:
1 - 5 0 -1
0 1 - 2 0
0 0 0 0

The pivots of this matrix are the 1 in the first column, the 1 in the second column, and the 0 in the third column. As there are no pivots in the fourth column, there is no solution to the linear system corresponding to the matrix A b. Therefore, vector b is not a linear combination of the vectors formed from the columns of the matrix A.

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The answer is option B: 0.040. When Z is a standard normal random variable, it means that Z has a mean of 0 and a standard deviation of 1. Therefore, P(-1.75 < Z < -1.25) represents the area under the standard normal curve between -1.75 and -1.25 standard deviations from the mean.

Using a standard normal distribution table or calculator, we can find that the area under the curve between -1.75 and -1.25 is approximately 0.040. Hence, the answer is option B: 0.040.
 To solve your question, we need to find the probability P(-1.75 ≤ Z ≤ -1.25) where Z is a standard normal random variable.

Step 1: Identify the given values
Z1 = -1.75
Z2 = -1.25

Step 2: Look up the Z-values in a standard normal table or use a calculator to find the corresponding probabilities
P(Z ≤ -1.75) = 0.0401
P(Z ≤ -1.25) = 0.211

Step 3: Use the properties of probabilities to find the required probability
P(-1.75 ≤ Z ≤ -1.25) = P(Z ≤ -1.25) - P(Z ≤ -1.75)
P(-1.75 ≤ Z ≤ -1.25) = 0.211 - 0.0401
P(-1.75 ≤ Z ≤ -1.25) = 0.1709

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Answer: The answer is x(x^4+7x^3y^3–8y^4+14y).

Step-by-step explanation:

(first base + second base)x height ÷ 2

False. the denominator in the formula for calculating the return on investment includes operating and nonoperating assets.

The denominator in the formula for calculating the return on investment (ROI) typically includes only operating assets, not non-operating assets. Operating assets are those that are necessary to generate revenue and include items such as inventory, equipment, and property. Non-operating assets, on the other hand, are not directly related to revenue generation and include items such as investments, patents, and trademarks. In order to calculate ROI, the numerator is the profit or gain from the investment, while the denominator is typically the total amount of operating assets used to generate that profit. By dividing the profit by the investment, ROI provides a measure of how much profit was generated relative to the amount of resources invested.

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By using the approximation of 62,500 inches to the mile, you can simplify and expedite various calculations involving distances and conversions between inches and miles, providing a convenient tool for numerical analysis and problem-solving

The approximation of 62,500 inches to the mile is commonly used in various calculations, especially in scenarios where conversions between inches and miles are involved. This approximation simplifies the conversion process and allows for easier calculations.

For example, if you need to convert a distance from miles to inches, you can simply multiply the number of miles by 62,500 to obtain the equivalent distance in inches. Conversely, if you have a measurement in inches and want to convert it to miles, you divide the number of inches by 62,500 to get the distance in miles.

Additionally, this approximation can be useful in other applications, such as determining the number of inches in a given number of miles, or calculating the length of a specific distance in miles based on its measurement in inches.

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.

Step-by-step explanation:

a slope of 0 means the slope is 0/x. in other words, y does not change at all.

and that means that the first point has the same y coordinate as the second point.

q = 2

the point is (10, 2).

The statement "you should never buy a product from a good salesman" is a subjective statement and cannot be answered as true or false universally.

It depends on various factors such as the product being sold, the sales tactics used by the salesman, and the individual's personal preferences and needs. A good salesman may provide useful information about the product and help the individual make an informed decision, while a bad salesman may use deceitful tactics to pressure the individual into buying something they don't need.

Therefore, it is important to evaluate each situation individually and make a decision based on the specific circumstances.

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Answer:

It is E) f(x) = -0.93x^2 + 5.59x + 15.17

Step-by-step explanation:

You can solve this by graphing each point and then each graph and seeing which one has all of the given coordinates

Try using the desmos graphing calculator it saves a lot of time when doing problems like these

A time-series plot is a graphical representation in which the measure of time is expressed on the x-axis and what is to be measured is represented on the y-axis. 

A time-series plot also known as a line chart helps to depict data from any event that has been gathered in a time sequence.

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Answer:

B

Step-by-step explanation:

It ain't no step to dat

Answer:

The coordinates of the point equidistant from the position of the three students is (-3, 1).

The equation of the locus of the circular path is:

\(x^2+y^2+6x-2y-15=0\)

Step-by-step explanation:

The point that is equidistant from the three students is the circumcenter of the triangle formed by the three students.

The circumcenter of a triangle is the point at which the perpendicular bisectors of the sides of the triangle intersect.

Label the vertices of the triangle:

We only need to find the perpendicular bisectors of two of the sides.

To find the perpendicular bisectors, first find the slope of the two lines by using the slope formula:

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

The slope of AB is:

\(m_{AB}=\dfrac{y_B-y_A}{x_B-x_A}=\dfrac{-4-5}{-3-(-6)}=\dfrac{-9}{3}=-3\)

Therefore, the slope of the perpendicular bisector of AB is 1/3.

The slope of AC is:

\(m_{AC}=\dfrac{y_C-y_A}{x_C-x_A}=\dfrac{1-5}{2-(-6)}=\dfrac{-4}{8}=-\dfrac{1}{2}\)

Therefore, the slope of the perpendicular bisector of AC is 2.

Now find the midpoints of two of the line segments by using the midpoint formula:

\((x_m,y_m)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)\)

The midpoint of AB is:

\(\implies \left(\dfrac{x_A+x_B}{2},\dfrac{y_A+y_B}{2}\right)=\left(\dfrac{-6+(-3)}{2},\dfrac{5+(-4)}{2}\right)=\left(-\dfrac{9}{2},\dfrac{1}{2}\right)\)

The midpoint of AC is:

\(\implies \left(\dfrac{x_A+x_C}{2},\dfrac{y_A+y_C}{2}\right)=\left(\dfrac{-6+2}{2},\dfrac{5+1}{2}\right)=\left(-2,3\right)\)

Now we can create equations for the perpendicular bisectors of AB and AC by substituting the found slopes and midpoints into the point-slope formula:

\(y-y_1=m(x-x_1)\)

The equation of the perpendicular bisector of AB is:

\(\implies y-\dfrac{1}{2}=\dfrac{1}{3}\left(x-\left(-\dfrac{9}{2}\right)\right)\)

\(\implies y-\dfrac{1}{2}=\dfrac{1}{3}x+\dfrac{3}{2}\)

\(\implies y=\dfrac{1}{3}x+2\)

The equation of the perpendicular bisector of AC is:

\(\implies y-3=2\left(x-\left(-2\right)\right)\)

\(\implies y-3=2x+4\)

\(\implies y=2x+7\)

Now we have equations for the perpendicular bisectors of two of the sides of the triangle, we can find the x-value of the point of intersection (the circumcenter) by equating the equations and solving for x:

\(\implies 2x+7=\dfrac{1}{3}x+2\)

\(\implies \dfrac{5}{3}x=-5\)

\(\implies x=-3\)

Substitute the found value of x into one of the equations and solve for y:

\(\implies y=2(-3)+7=1\)

Therefore, the coordinates of the point equidistant from the position of the three students is (-3, 1).

To find the equation of the locus of the circular path, we need to find the equation of the circle with center at (-3, 1) and radius equal to the distance from any of the three students to the center.

To find the radius of the circle, calculate the distance between the center (-3, 1) and one of the points using the distance formula:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Therefore, the distance between the center (-3, 1) and point A (-6, 5) is:

\(\implies r=\sqrt{(-6-(-3))^2+(5-1)^2}\)

\(\implies r=\sqrt{(-3)^2+(4)^2}\)

\(\implies r=\sqrt{25}\)

\(\implies r=5\)

Finally, substitute the found center and radius into the general equation of a circle:

\((x-h)^2+(y-k)^2=r^2\)

where (h, k) is the center, and r is the radius.

Therefore, the equation of the circle is:

\((x+3)^2+(y-1)^2=25\)

Expanding to give the equation of the locus of the circular path:

\(\implies x^2+6x+9+y^2-2y+1=25\)

\(\implies x^2+y^2+6x-2y-15=0\)

Answer:

7.3

Step-by-step explanation:

Answer:20Km

Step-by-step explanation:

3/10 + 9/20 =75%

75% of 80 = 60

oooooo 25% of 80 = 20.

Hope it makes

There are 15,504 different committees that can be chosen from the 20-member student council to form a committee of 15 students.

To calculate the number of different committees that can be chosen from a 20-member student council to form a committee of 15 students, we can use the combination formula.

The number of combinations of selecting 'r' items from a set of 'n' items is given by the formula:

C(n, r) = n! / (r!(n - r)!)

In this case, we want to select 15 students from a pool of 20 members, so the formula becomes:

C(20, 15) = 20! / (15!(20 - 15)!)

Calculating this value:

C(20, 15) = 20! / (15! * 5!)

The factorial notation represents the product of all positive integers up to a given number. Evaluating the factorials:

20! = 20 * 19 * 18 * 17 * 16 * 15!

15! = 15 * 14 * 13 * 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5!

By canceling out common factors:

C(20, 15) = (20 * 19 * 18 * 17 * 16) / (5 * 4 * 3 * 2 * 1)

Simplifying:

C(20, 15) = 15,504

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System of Equations

Given the system of equations:

x + z = 6

2x + 4z = 1

To solve the system by the elimination method, we must make the coefficients of one variable opposite.

It's required to eliminate the z-term which means we must make the coefficients of z opposite on both equations.

The coefficient of z is 4 in the second equation, so to eliminate the variable, we must multiply the first equation by -4 as follows:

-4x - 4z = -24

Now when we add both equations, the z is eliminated.

Answer: Multiply equation A by −4.

Answer: 3/4 = 6/8

so u need 60*6, so

c=60*6 ?

c meaning calories

Answer:

How many calories are in 3/4 cup of honey? = 60/ 1/8*3/4

How many cups of honey will the baker use for 15 cakes? = 3/4*15

How many cakes could the baker make if he has 78 cup of honey? =  7/8 divided by 3/4.

Step-by-step explanation:

Promise this is tried and tested

Answer: CP = 1418.34

Step-by-step explanation: We've to calculate the cost price (CP)

Selling price (SP) = 1546,  Profit% = 9%

According to the formula,

Profit%= \(\frac{SP-CP}{CP} * 100\)

9 = \(\frac{1546-CP}{CP} *100\)

9*CP = (1546-CP)*100

109CP = 154600

CP = 154600/109

CP= 1418.34

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The simplified trigonometric expression in this problem is defined as follows:

sin(3x)/sin²(x) = 3csc(x) - 4sin(x).

The trigonometric expression in this problem is defined as follows:

sin(3x)/sin²(x).

The equivalent expression for the sine of 3x is given as follows:

sin(3x) = 3sin(x) - 4 sin³(x).

Then the expression can be written as follows:

(3sin(x) - 4 sin³(x))/sin²(x)

The subtraction is in the numerator, hence the expression can be simplified as follows:

3sin(x)/sin²(x) - 4sin³(x)/sin²(x)

3/sin(x) - 4sin(x)

One divided by the sine is equivalent to the cossecant, hence:

3/sin(x) - 4sin(x) = 3csc(x) - 4sin(x).

Meaning that the first option among those given on the image at the end of the answer is correct.

The problem is given by the image shown at the end of the answer.

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a continuous probability distribution the outcomes can take any value within a given range.

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Answer:

60 - 12 = 48

48/1.5= 32

32 songs

The kinetic energy will the ball acquire from the bat is 2× 10² J

According to the question

Bat stays in contact for 5.0 X 10⁻³ and the ball travels at a speed of 2.0 X 10⁴.

An object's kinetic energy is the power it has as a result of motion. It is explained as the amount of effort required to move a mass-based body from rest to the indicated velocity.

The body keeps its kinetic energy, which it acquired during acceleration, unless its speed changes.

A mass m object moving at a speed v has kinetic energy 1/2 mv² according to classical mechanics.

Favg= -1/2 MV²

K= -1 2 ( 5.0 x 10⁻³)²

K = - 1/2 ×25 × 10⁻⁶

K = 2× 10² J

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The test statistic for this sample and the p-value for this sample is  t = 0.467.

Given:

sample of size n=305

M=83.6

SD=14.9.

Significance level of α = 0.001 . H o : μ = 82.4 H a : μ ≠ 82.4

To find the Test statistic

\(test=\frac{\bar x-\mu}{\frac{s.t}{\sqrt{n} } }\)

    \(=\frac{82.4.6-83.6}{\frac{14.9}{\sqrt{305} } }\)

     \(0.467\)

P-value:

With t = 0.467.

p-value = (1 - 0.467)

0.533 > 0.001

So, fail to reject H₀

Therefore, the failing to reject the Null Hypothesis.

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The probability that a single randomly selected value from a population with a normal distribution, where the mean (μ) is 189.2 and the standard deviation (σ) is 83.2, falls between 195.2 and 214.1 is approximately 0.1632.

To find the probability, we can standardize the values using the z-score formula: z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation.

For 195.2:

z1 = (195.2 - 189.2) / 83.2 = 0.0721

For 214.1:

z2 = (214.1 - 189.2) / 83.2 = 0.2983

Using a standard normal distribution table or a calculator, we can find the area under the curve between these z-scores, which represents the probability:

P(195.2 < x < 214.1) = P(0.0721 < z < 0.2983) ≈ 0.1632

Therefore, the probability that a single randomly selected value falls between 195.2 and 214.1 is approximately 0.1632.

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Complete question is in the image attached below

The percentage of adults who expect an inheritance ranges from 25% to 31%.

Given that (p) = 28% = 0.28,

                   E = 3% = 0.03

We can employ the formula;

Cl = (p) ± E

The confidence interval is calculated as follows:

Cl = (p) ± E

= 0.28 ± 0.03

Cl = (0.25, 0.31) (0.25, 0.31)

As a result, option (b) is correct: the percentage of all adults who expect an inheritance ranges between 25% and 31%.

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The solution y(t) of the initial value problem y′′−y′−2y=0, y(0)=−3, y′(0)=1 is y(t) = -e^(2t) + e^(-t).Solution:Given differential equation is y'' - y' - 2y = 0. Since the characteristic equation is r² - r - 2 = 0, on solving it, we get the roots as:r₁ = 2, r₂ = -1.

So, the complementary solution is: yc(t) = c₁e^(2t) + c₂e^(-t)-----(1)Given, y(0) = -3 and y'(0) = 1.So, putting these values in equation (1), we get:-3 = c₁ + c₂------(2)1 = 2c₁ - c₂ ------(3)Solving (2) and (3), we get: c₁ = 1 and c₂ = -4.Hence, the complementary solution is: yc(t) = e^(2t) - 4e^(-t)-----(4)Now, let's find the particular solution.

Particular solution:Using the method of undetermined coefficients,Let y_p(t) = Ae^(0t) ----(5)Now, y'_p(t) = A(0)e^(0t) = 0 and y''_p(t) = A(0)(0)e^(0t) = 0. Substituting these values in the given differential equation, we get:0 - 0 - 2Ae^(0t) = 0 => A = 0.So, y_p(t) = 0 is the particular solution.Therefore, the general solution is:y(t) = yc(t) + y_p(t) = e^(2t) - 4e^(-t) + 0 = e^(2t) - 4e^(-t).So, the solution y(t) of the initial value problem y′′−y′−2y=0, y(0)=−3, y′(0)=1 is y(t) = -e^(2t) + e^(-t).

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