Irrational numbers -49

Answer:

-5

Step-by-step explanation:

taking - common

- (5x + 7) >= 17

you must have heard that the direction of inequality gets inverted when the signs of equations on both sides is inverted.

so,

5x + 7 <= - 17

5x + 7 - 7 <= -17 - 7

5x <= - 24

x <= -24/ 5

so, the value of x can be less than or equal to -24/ 5

upon solving -24/5 we get -4.8

and the question is asking for largest integral value, then it will be - 5

check the number line for this

-6 -5 -4.8 -4 -3 -2 ....

suppose this is a number line.

the value of x lies on the left side of -4.8 and -4.8 is not an integer so we'll skip onto -5 which is the following integer on the required side.

so the answer is -5

The sponge function in cryptography takes a string of any length as input and returns a string of any requested variable length.

According to the statement

we have to explain about the function in which cryptography takes a string of any length as input and returns a string of any requested variable length.

So, For this purpose,

we know that the

A sponge function or sponge construction is any of a class of algorithms with finite internal state that take an input bit stream of any length and produce an output bit stream of any desired length.

So from definition and its working process it is clear that for this purpose the sponge function is used.

this function returns the string of any variable length.

So, The sponge function in cryptography takes a string of any length as input and returns a string of any requested variable length.

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Answer:

x = (- oo, -5)

Step-by-step explanation:

Answer:

25+25-25=25+0=25 is your answer

Answer:

25 +25-25=25

Have a nice day!

Answer:

12x=4y........................................

x > 4 is your answer when solving for x

The simple interest rate that will ensure that Bob's investment of R6,500 equals Alice's 3% compound interest per year investment is 3.2%.

The difference between simple interest and compound interest is that simple interest computes interest on the principal only for each period.

Compound interest computes interest on both the principal and accumulated interest for each period.

Alice:

Principal investment = R6,500

Compound interest rate per year = 3%

Investment period = 5years

Future value = R7,535.28 (R6,500 x 1.03⁵)

Total Interest R1,035.28 (R7,535.28 - R6,500)

Bob:

Principal invested = R6,500

The simple interest rate = r

Investment period = 5years

The future value of the simple interest investment, A = P(1+rt)

7,535.28 = 6,500(1 + 5r)

Dividing each side b 6,500:

1.15927 = (1 + 5r)

5r = 0.15927

r = 0.031854

r - 0.032

r = 3.2% (0.32 x 100)

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Calculate r, giving your answer correct to 1 decimal place.

Answer:

75 degrees

Step-by-step explanation:

180=35+70+x

180=105+x

180-105=105-105+x

75=x

Answer:

X + 35 + 70 = 180

X + 105 =180

X = 180 - 105

X = 85 degree

Answer:

Final Cost, Price with tax, and Discount.

Step-by-step explanation:

True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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The times spent in training is an illustration of proportions

The times spent in training is 80 hours

The given parameters are:

Time spent = 6 hours

Time spent as a percentage = 7.5%

Let the total time spent in training be x.

The scenario is represented by the following equation

Time spent = Time spent as a percentage  * Total Time

So, we have:

6 = 7.5% * x

Express percentage as decimal

6 = 0.075 * x

Divide both sides by 0.075

80 = x

Rewrite as:

x = 80

Hence, the times spent in training is 80 hours

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Answer:

23/54 meters

Step-by-step explanation:

Assuming that the scale model is smaller, then the scale model should be 1/27th of the actual thing. Therefore:

11.5/27

= 23/54 meters tall

The tangential component of the acceleration vector represents the change in speed or direction along the path. The normal component of the acceleration vector represents the change in direction perpendicular to the path.

To find the tangential and normal components of the acceleration vector, we need the velocity vector and the curvature of the path. The tangential component of acceleration (at) represents the change in speed or direction along the path. It is given by the derivative of the velocity vector with respect to time. The normal component of acceleration (an) represents the change in direction perpendicular to the path. It is given by the curvature of the path multiplied by the square of the speed.

In mathematical terms:

at = dV/dt

an = (V^2) / R

where:

V is the velocity vector

t is time

R is the radius of curvature of the path.

The tangential component of the acceleration vector represents the change in speed or direction along the path. The normal component of the acceleration vector represents the change in direction perpendicular to the path.

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The  probability of event A is P(A) = 1/4 or 0.25.

The formula to find P(A) for a series of simple events is:

P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)

For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:

- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.

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Answer:

m∠T = 68°

m∠U = 95°

m∠V = 112°

m∠W = 85°

Step-by-step explanation:

m<V = (14z - 7)°

m<W = 10z°

m<T = 8z°

Recall that the sum of the opposite angles of a cyclic quadrilateral equals 180°.

Therefore:

(14z - 7)° + 8z° = 180°

Find z

14z - 7 + 8z = 180

22z - 7 = 180

22z = 180 + 7

22z = 187

22z/22 = 187/22

z = 8.5

The equation that could represent a linear combination of the system 2/3x + 5/2y = 15 and 4x + 15y = 12 is 0 = 26

Linear equations are equations that have constant average rates of change, slope or gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2/3x + 5/2y = 15

4x + 15y = 12

Multiply the first equation by 6, to eliminate the fractions.

6 * (2/3x + 5/2y = 15)

This gives

4x + 15y = 90

Subtract the equation 4x + 15y = 90 from 4x + 15y = 12

4x - 4x + 15y - 15y = 12 - 90

Evaluate the difference

0 + 0 = -78

Evaluate the sum

0 = -78

The above equation is the same equation as option (b) 0 = 26

This is so because they both represent that the system of equations have no solution

Hence, the equation that could represent a linear combination of the system is 0 = 26

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Complete question

The system of equations below has no solution.

2/3x + 5/2y = 15

4x + 15y = 12

Which equation could represent a linear combination of the system?

Answer:

Its C

Step-by-step explanation:

23 times 34 is 782 and since its a square you add the 2

Answer:

-2

Step-by-step explanation:

Use the slope formula when given two points

Slope formula = \(\frac{y_2-y_1}{x_2-x_1}\)

( the x and y values are determined by the given points )

Given the points ( 0 , 5 ) and ( 1 , 3 )

Plug in the x and y values of the given points into the formula

( remember y values on top x values on bottom )

\(slope=\frac{5-3}{0-1} \\5-3=2\\0-1=-1\\slope=\frac{2}{-1} =-2\)

Hence, the answer is D

The largest discrepancy between experimental and expected probability can be determined by comparing observed frequencies of the outcomes with expected probabilities for each face of the cube.

To calculate the expected probabilities, we divide the number of favorable outcomes (1 for each face) by the total number of possible outcomes (6 for a standard cube). Thus, the expected probability for each face is 1/6 or approximately 16.67%.  For example, let's say the observed frequencies are as follows: Face 2 (3 occurrences), Face 4 (5 occurrences), Face 6 (4 occurrences), Face 8 (6 occurrences), Face 10 (2 occurrences), and Face 12 (4 occurrences). The observed probabilities can be calculated by dividing the observed frequencies by the total number of trials (in this case, the sum of all observed frequencies, which is 24).

Next, we calculate the difference between the observed probabilities and the expected probabilities for each face. We find the absolute value of each difference to consider both overestimations and underestimations.In this case, let's assume the largest absolute difference is 0.07. To convert the discrepancy to a percentage form, we multiply the largest absolute difference by 100.

In conclusion, the largest discrepancy between the experimental and expected probability in this experiment is 7% when rounded to the nearest whole number.

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Answer:

#2

Step-by-step explanation:

type the equation in2 the desmos graphing calculator

Answer:

36 : 20

Step-by-step explanation:

36 local calls = 20 long distance calls = 36 : 20

To answer these questions, we need to determine the fuel consumption rate and use it to calculate the fuel left and total distance.

a) Find the fuel consumption rate:
The airplane used 40,000 - 13,000 = 27,000 gallons of fuel in 8 hours.
Fuel consumption rate = 27,000 gallons / 8 hours = 3,375 gallons/hour.

b) Calculate the fuel left after 2.5 more hours:
Fuel used in 2.5 hours = 3,375 gallons/hour × 2.5 hours = 8,437.5 gallons.
Fuel left when the plane lands = 13,000 gallons - 8,437.5 gallons = 4,562.5 gallons.

c) Find the total distance of the flight:
Total flight time = 8 hours + 2.5 hours = 10.5 hours.
Total distance = average speed × total flight time = 550 miles/hour × 10.5 hours = 5,775 miles.

So, (a) there will be 4,562.5 gallons of fuel left in the tank when the plane lands, and (b) the total distance of the flight is 5,775 miles.

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Answer:

1) 0

2) -6

Step-by-step explanation:

Any number to the ⁰th power is 1.

A negative exponent flips the fraction.

Answer:

y= 0, -3

y(27y+81)=0

27y+81=0 y=0

27y= -81

y= -81/27

y= -3

Answer:

\(y=-3, y=0\)

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

because u add the like terms so

3x+2x

which would be

5× so now its

5x+5=12+4x

-4. -4

x+5=12

-5. -5

x=7

The correct answer is C. The line meets the yz-plane when x=0, the xz-plane when y=0, and the xy-plane when z=0.

To find the points where the line x = 24 + 5t, y = -13 - t, z = 3t intersects the coordinate planes, we can substitute the respective plane's equation into the line's equations and solve for t.

xz-plane (where y = 0):

Substituting y = 0 into the line's equations:

x = 24 + 5t

y = 0

z = 3t

We can see that y is already 0, so we can ignore it. Now we only need to solve for t in the remaining two equations:

0 = 24 + 5t

3t = 0

From the first equation, we get:

5t = -24

t = -24/5

From the second equation, we get:

t = 0

So, the line intersects the xz-plane when t = -24/5 and t = 0.

yz-plane (where x = 0):

Substituting x = 0 into the line's equations:

x = 0

y = -13 - t

z = 3t

We can see that x is already 0, so we can ignore it. Now we only need to solve for t in the remaining two equations:

-13 - t = 0

3t = 0

From the first equation, we get:

t = -13

From the second equation, we get:

t = 0

So, the line intersects the yz-plane when t = -13 and t = 0.

xy-plane (where z = 0):

Substituting z = 0 into the line's equations:

x = 24 + 5t

y = -13 - t

z = 0

We can see that z is already 0, so we can ignore it. Now we only need to solve for t in the remaining two equations:

x = 24 + 5t

y = -13 - t

There is no specific value of t that satisfies both equations simultaneously when z = 0. This means that the line does not intersect the xy-plane.

Therefore, the correct option describing how the line x = 24 + 5t, y = -13 - t, z = 3t meets the coordinate planes is:

C. The line meets the yz-plane when x = 0, the xz-plane when y = 0, and the xy-plane when z = 0.

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9514 1404 393

Answer:

  1921/496

Step-by-step explanation:

There are many rational approximations to √15, some better than others.

A linear approximation is often used:

  √15 ≈ 3 +(15-3^2)/(4^2-3^2) = 3 6/7 = 27/7

That can be refined by one iteration of the Babylonian method of determining the root:

  √15 ≈ (27/7 +15/(27/7))/2 = (3 6/7 +3 8/9)/2 = 3 55/63 = 244/63

This value is equivalent to the root rounded to 4 decimal places.

__

Another iteration of the Babylonian method gives the approximation ...

  √15 ≈ 119071/30744, equivalent to the root rounded to 9 decimal places.

__

The approximation 1921/496 is the best approximation that has a denominator under 1000.

_____

Additional comment

Successive rational convergents of the continued fraction approximation of √15 can be found as ...

  a'/b' = (3a +15b)/(a +3b)

This method adds approximately one more good decimal place per iteration.

__

Successive rational approximations can be found using the Babylonian method (Newton's method iteration) as ...

  a'/b' = (a² +15b²)/(2ab)

This method has "quadratic" convergence. It approximately doubles the number of good decimal places with each iteration.

You can use 3/1, 4/1, or 27/7 to begin either of these iterations.

Lines that intersect a circle in two points are called secant lines. These lines can be extended to form a chord, which is a line segment that connects two points on the circle. The endpoints of a chord are called the endpoints of the chord.

A line segment that connects the center of a circle to a point on the circle is called a radius. A radius is half the length of a diameter, which is a chord that passes through the center of the circle.

An angle whose vertex is on the circle and whose sides are formed by two intersecting chords is called an inscribed angle. An inscribed angle that intercepts a diameter of the circle is a right angle. An arc is a portion of the circumference of a circle. An arc that is equal in length to the radius of the circle is called a semicircle. An arc that is less than a semicircle is called a minor arc, while an arc that is greater than a semicircle is called a major arc.

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Answer:

x=12

Step-by-step explanation:

Since b would equal E

We can make an equation.

x^2 -5x = 84

So that can be solved down to

x^2 -5x -84= 0

(x-12)(x+7)=0

x=12

x=-7

Now we see which one equals 84.

(12)^2 -5(12)=84

-7^2-5(-7)=14

therefore 12 is the correct answer and -7 does not work.