Given that x < 5, rewrite 5x - |x - 5| without using absolute value signs.

The sine and the cosine of the acute angle are the same for θ = π / 4. (Correct choice: 2)

Acute angles are angles whose measures are greater than 0° and less than 90°. According to the statement, we must find at least a value such that sin θ = cos θ:

sin θ = cos θ                     Given

sin θ / cos θ = 1                 Compatibility with multiplication / Existence of multiplicative inverse / Modulative property

tan θ = 1                            Definition of tangent

θ = π / 4                            Inverse trigonometric function / Result

In a nutshell, the sine and the cosine of the acute angle are the same for θ = π / 4. (Correct choice: 2)

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Joel's map of Colorado on the grid is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Dimensions = 600 km by 450 km.

The scale on the map of Colorado on the grid is

1 unit = 100 km

This means that

Dimensions = 600/100 units by 450/100 units

Evaluate

Dimensions = 6 units by 4.5 units

So, we draw a rectangle of 6 units by 4.5 units to represent Joel's map

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Answer:

23

Step-by-step explanation:

because 460 divided by 20 is 23 so the car gets 23 mpg because 460 represents miles and 20 represents gallons of gas

The car's gas mileage is 23 if the test of a new car results in 460 miles on 20 gallons of gas.

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:

Gas mileage is the number of miles you can drive on a gallon of gasoline.

A test of a new car results in 460 miles on 20 gallons of gas.

Let x be the car's gas mileage.

The value of the x can be found as follows:

x = 460/20

x = 23

20 gallons of gas and 460 miles are represented by the numbers.

Thus, the car's gas mileage is 23 if the test of a new car results in 460 miles on 20 gallons of gas.

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Answer: 24 hours - no; because depending on where you are on Earth, you have a  different amount of sunlight.

Step-by-step explanation:

The day-night cycle is a complete day or a complete rotation of the earth around its axis. This takes 24 hours which is why 24 hours is the length of a full day.

People around the world however, do not get the same amount of sunlight or darkness and this is because of where they are on Earth. Due to the way the planet is tilted on its axis, some areas see sunlight more than other in a period and others see more darkness.

Answer:

m/0.1

Step-by-step explanation:

--

we want to find it

-----

10%*x=m

OF means multiply

IT is any variable

IS is equal

10%*x=m

0.1*x=m

x=m/0.1 IN THE ANSWER DO NOT INCLUDE x

Standardized test score that represents 70th percentile is 86.

Percentile is a comparison score between someone's score and the scores of the rest of the group. It tells the percentage of surpassed scores.

Data set = 48, 65, 72, 86, 84, 52, 93, 97, 81, 80

Sample size, n = 10

Now, arrange numbers in ascending order.

48, 52, 65, 72, 80, 81, 84, 86, 93, 97

Formula for percentile is,

Percentile = ( Number of Scores below 86 / Sample size ) x 100

Percentile = ( 7 /10 ) x 100

= (0.7) x 100

= 70%

Therefore, we can conclude that 70th percentile is = 86.

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Answer:

Pauline reflected the original figure over the x-axis:

The coordinates of point B will be (4,3)

Carl reflected the original figure over the y-axis:

The coordinate of points B will be (-4,-3)

When Pauline reflect the original figure over the x-axis, the coordinate of point B' will be (-2, -4). When Carl reflect the original figure over the y-axis, the coordinate of point B' will be (2, 4).

A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

In Mathematics, a reflection over the x-axis is given by this transformation rule:

(x, y)                   →               (x, -y)

Point B = (4, -3) → Point B' = (4, 3)

In Geometry, a reflection over the y-axis of a graph is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, the coordinates of point B' after a reflection over the y-axis is as follows:

Point B = (4, -3) → Point B' = (-4, -3)

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The probability that you win the jackpot is 0.00083.

What is probability?

The probability of an event or several events occurring is known as probability. A straightforward formula can be used to compute probability, which is the likelihood of obtaining a specific result.

The possibility of an event occurring divided by the number of anticipated outcomes of the event is another way to define probability. When there are several events, probability is calculated by dividing each likelihood into individual, single computations, multiplying each result, and then adding the results to produce the one potential outcome.

Number of white balls = 10

Number of white balls drawn = 3

Number of red balls = 10

Number of red balls drawn = 1

Probability that first ball drawn is white = \(\frac{3}{10}\)

Probability that second ball drawn is white (without replacement) = \(\frac{2}{9}\)

Probability that third ball drawn is white (without replacement) = \(\frac{1}{8}\)

Probability of drawing red ball = \(\frac{1}{10}\)

Probability that you win jackpot = \(\frac{3}{10}*\frac{2}{9}*\frac{1}{8}*\frac{1}{10}\)

                                                     = 0.00083

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Answer:

A wall can be built by 6 men working 8*5*6=240 hours.

If 4 men works 5 hours a day, they work 20 hours/day.

It will take them 240 hours /20 hours = 12 days

The value of (g/f)(x)  is 7x/ 6(x+1)  , and the domain is all Real numbers except -1 which is (-∞,∞)-{-1} .

In the question ,

it is given that

the function f(x) = 6/x

and the function g(x) = 7/(x+1)

the function (g/f)(x)  means g(x) / f(x)

so , (g/f)(x) = \(\frac{\frac{7}{x+1} }{\frac{6}{x} }\)

= 7/(x+1) * x/6

= 7*x / 6(x+1)

= 7x/ 6(x+1)

For Domain 6(x+1) ≠ 0

6(x+1) ≠ 0

which means 6 ≠ 0 and x+1 ≠ 0

x ≠ -1

so domain is all Real numbers except -1 .

that is (-∞,∞)-{-1}

Therefore , The value of (g/f)(x)  is 7x/ 6(x+1)  , and the domain is all Real numbers except -1 in interval notation is (-∞,∞)-{-1} .

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Answer:

b = 5

Step-by-step explanation:

This triangle is a 30 - 60 - 90 special right triangle

As you can see in the image provided below the longer leg is equal to the short leg times √3

This means that the short leg is equal to the long leg divided by √3

Thus, b = \(\frac{5\sqrt{3} }{\sqrt{3} }\) which is equivalent to 5

Answer:

Step-by-step explanation:

Y+6=2x-6

6+6=2x-y

12=2x-y

0.14285714285

Calculator ;)

Answer:

I think sin would be 330 and Cos would be 60

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

gj,xDGIDYOry

oFYORYODYIYDOCYODYODYODOYYDSOYSITTIsst.isti.ti.s.sitsi.ttsliyd.i.odygis.x.ittxi.x,jgxfj,.jtxtis.x.tii.ts.kdttic.

Answer:

24 hours for the following conditions. (Round your answers to the nearest whole number.) (a) No antibiotic is

Answer:

c. Tan(Q)=3/4

Step-by-step explanation:

The answer of the provided question is  the addition property of equality and then the division property of equality

Regardless of the sequence in which the numbers are added, the total of any two or more numbers is always the same. This characteristic may be expressed in the formula A + B = B + A. For instance, 2 + 4 Equals 4 + 2 = 6. As a result, both sets add up to 6, therefore 2 + 4 = 4 + 2.

We have multiplied both sides of the equation by 5 to move from Step 1 to Step 2:

\(-3x -5 +5 = 13 +5\\ -3x = 18\)

We have divided both sides of the equation by -3 to go from Step 2 to Step 3:

\(-3x/-3 = 18/-3\\ x = -6\)

These procedures can be categorized as...

first the equality's addition property, then its division property

However, since multiplication and division are the same thing, but with reciprocal numbers, and since addition and subtraction are the same thing, but with opposite numbers, any of the above answers may theoretically be right.

(adjust 5, divide by -3) = (adjust 5, multiply by -1/3)

(subtract 5 and divide by 3) equals (subtract 5 and multiply by 1/3).

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Answer:

might help might not

Step-by-step explanation: V = πr^2h

where V is the volume, r is the radius, and h is the height.

First, we need to convert the diameter of the pipe from centimeters to meters, since the length of the pipe is given in meters. We can do this by dividing the diameter by 100:

d = 7 cm = 0.07 m (diameter in meters)

Next, we need to find the radius of the pipe, which is half of the diameter:

r = d/2 = 0.07/2 = 0.035 m (radius in meters)

Now we have all the information we need to calculate the volume of the pipe:

V = πr^2h = π(0.035)^2(1) = 0.001225 m^3

Finally, we need to convert the volume from cubic meters to liters, since the question asks for the volume in liters. There are 1000 liters in 1 cubic meter, so:

V = 0.001225 m^3 × 1000 L/m^3 ≈ 1.225 L

Therefore, the cylindrical pipe will hold approximately 1.225 liters of water.

Answer:

a) "3y-1" is not a linear equation because it is missing an equal sign. It is just an expression.

b) "x²+1=5" is not a linear equation because it contains a squared term.

c) "y<7" is not an equation at all. It is an inequality.

d) "6y+1=0" is a linear equation because it can be written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -6/1 and the y-intercept is 1/6.

The required answer to the subtraction problem 83,456 - 728.88 is, 82,727.12

Subtraction is mathematical terminology that helps and elaborates the decrease in the original value by some value.

Here,
To perform the subtraction, you line up the decimal points and subtract the digits in each place value starting from the right. In this case, you subtract 8 from 6, which requires borrowing 1 from the digit to the left, giving you 16 - 8 = 8 in the one's place. You then subtract 2 from 5, giving you 3 in the tenth place. Continuing this process, you get the result of 82,727.12.

Thus, the answer to the subtraction problem 83,456 - 728.88 is, 82,727.12

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subukan kong gawin ito. nagsisimula ka sa winb at nagtatapos ka sa libingan, kaya sulitin ang bago ang kabaong

Answer: B or 52

Step-by-step explanation: I will explain later

The solution to the equation |2 y-4|=12 and extraneous solution is y = 8 and y = -4 respectively.

Given equation is;

|2 y-4|=12

Now we have two cases;

Case 1: 2y - 4 = 12

Case 2: -(2y - 4) = 12  

Case 1: 2y - 4 = 12

Adding 4 to both sides

2y = 16

Dividing by 2 on both sides

y = 8

which satisfies the given equation |2 y-4|=12.

Hence, y = 8 is the solution.

Case 2: -(2y - 4) = 12

Multiplying negative sign throughout

2y - 4 = -12

Adding 4 to both sides

2y = -8

Dividing by 2 on both sides

y = -4

which does not satisfy the given equation |2 y-4|=12.

Hence, y = -4 is the extraneous solution.

Therefore, the solutions to the equation |2 y-4|=12 and check for extraneous solutions are y = 8 and y = -4 respectively.

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Answer:

12,000cm^2

Step-by-step explanation:

area = length * breadth

= 120cm × 100cm

=12,000cm^2

Answer:

12000 cm²

Step-by-step explanation:

area of a rectangle = breadth x length

Given:

⇒ area = 100 x 120 = 12000 cm²

Answer:

19320 kg/m³

Step-by-step explanation:

We are given that the density of gold is 19.32 g/cm³, and we want to convert that density to kg/m³.

We can solve this in a manner similar to dimensional analysis, which is common in chemistry. When we do dimensional analysis, we use conversion factors with labels that we cancel out in order to get to the labels that we want.

Recall that 1 kg is 1000 g, and 1 m³ is cm. These will be our conversion factors.

So, we can do the following:

\(\frac{19.32g}{1 cm^3} * \frac{1000000 cm^3}{1 m^3} * \frac{1kg}{1000g}\) = 19320 kg/m³

So, the density of gold is 19320 kg/m³.

Answer:

8 4/13 Is the Correct Answer!

Step-by-step explanation:

Numerator. This is the number above the fraction line. For 108/13, the numerator is 108.

Denominator. This is the number below the fraction line. For 108/13, the denominator is 13.

Improper fraction. This is a fraction where the numerator is greater than the denominator.

Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.

Now let's go through the steps needed to convert 108/13 to a mixed number.

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

108/13= 8.3076923076923 = 8

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (8) and multiply it by the original denominator (13). The result of that multiplication is then subtracted from the original numerator:

108 - (13 x 8) = 4

Step 3: Our mixed fraction

We've now simplified 108/13 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

8  

4

13

Step 4: Simplifying our fraction

In this case, our fraction (4/13) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 4 and 13 is 1.

xXxAnimexXx

Main Answer: A normalized binary number typically consists of three parts:

Supporting Question and Answer:

What is a sign bit in a normalized binary number?

The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.

Body of the Solution: A normalized binary number typically consists of  the following three parts:

Final Answer: A normalized binary number typically consists of three parts:

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The equivalent operation is: b = (a < 5) ? 12 : (d = 30);

The original if/else statement is:

if (a < 5)

   b = 12;

else

   d = 30;

In this statement, the condition (a < 5) is evaluated. If the condition is true (i.e., if the value of a is less than 5), then the statement b = 12; is executed. Otherwise, if the condition is false (i.e., if the value of a is greater than or equal to 5), then the statement d = 30; is executed.

The equivalent operation using the conditional (ternary) operator is:

b = (a < 5) ? 12 : d = 30;

In this statement, the condition (a < 5) is evaluated. If the condition is true, the value 12 is assigned to b. This is indicated by ? in the statement. The : separates the true and false cases.

If the condition is false (i.e., if the value of a is greater than or equal to 5), the value 30 is assigned to d. This is the value assigned after the : in the statement.

The ternary operator statement (a < 5) ? 12 : d = 30; achieves the same outcome as the original if/else statement, providing an alternative way to write the logic based on the condition a < 5.

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Answer:

Step-by-step explanation:

M(0, -4) being the midpoint of AB means that  \(x_M-x_A=x_B-x_M\)

\(0-(-8)=x_B-0\\\\x_B=8\)

and   \(y_M-y_A=y_B-y_M\)

\(-4-(-7)=y_B-(-4)\\\\-4+7=y_B+4\\\\y_B=3-4\\\\y_B=-1\)