Evaluate. X/4-y^2 + 3 1/4 x= if 12 and y=3

Given:

The given function is f(x)=|x|.

Required:

We need to find the property of the given function.

Explanation:

Consider the graph of the function.

The domain of a graph consists of all the input values shown on the x-axis.

The domain of f(x) =|x| is the set of all real numbers.

The range of a graph consists of all the output values shown on the y-axis.

The range is the set of real numbers greater than or equal to zero.

It is strictly increasing in [0, ∞) and strictly decreasing in (-∞, 0] is true.

A function is odd if −f(x) = f(−x), for all x

The absolute value function is not an odd function.

Final answer:

The wrong property is

The absolute value function is an odd function.

Given the Trigonometric Functions:

Using your calculator you get:

By definition, Secant is negative in Quadrant III.

Finds its Reference Angle as follows:

Because:

Then, you get:

Notice that:

Then, you can conclude that it is in Quadrant II.

Therefore its Reference Angle is:

So you can set up:

By definition:

Therefore, you can rewrite it in this form:

Hence, the answer is:

The angle of the T in the ΔRST is 100° and the value of p is 11.

Define Triangle.

A triangle is a polygon that consists of three sides and three vertices. The fact that the interior angles of a triangle add up to 180 degrees is the most crucial aspect of triangles. This characteristic is known as the angle sum property of a triangle.

i.e., In a give ΔABC, ∠A + ∠B + ∠C = 180°.

Given:

∠R = 37°; ∠S = 43°; ∠T = 10p-10°

Let's take ∠T = x

In ΔRST,

∠R + ∠S + ∠T = 180°

37 + 43 + x =  180°

x = 180 - 80 ⇒ 100

∴ ∠T = 100°

To find the value of p,

 ∠T = 100

10p - 10 = 100

10p = 110 ⇒ 11

∴ p = 11

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The length of a person’s forearm if the length of their foot is 8 inches.

A linear equation is an equation that describes a straight line on a graph. It is an algebraic equation that involves two variables, usually x and y, and can be written in the form of y = mx + b, where m is the slope of the line and b is the y-intercept.

The slope of a line is the measure of the steepness of the line, or how much it rises or falls for a given change in x. It can be calculated as the change in y divided by the change in x between any two points on the line.

The y-intercept is the point where the line crosses the y-axis, or the value of y when x is zero.

Let

x ----> Length of Foot in inches

y ----> Length of Forearm in inches

we have

y=1.11x-0.83

For x=8 in

To find y, change the value of x in the linear equation.

y=1.11(8)-0.83=8.05in

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The complete question is :

The data on the graph show the foot lengths and forearm lengths for a group of people. The line of best fit for the data is shown. Use the equation of the line of best fit to predict the length of a person’s forearm if the length of their foot is 8 inches.

A graph is labeled as Foot Length versus Forearm Length. The horizontal axis is labeled as Length of Foot left parenthesis inches right parenthesis and the vertical axis is labeled as Length of Forearm left parenthesis inches right parenthesis. The values on the horizontal axis range from 0 to 15 in increments of 1 and the values on the vertical axis range from 0 to 15 in increments of 1. Several points are scattered throughout the graph and a line is shown which passes between these points and the equation of the line is labeled as y equals 1 decimal point 1 1 x minus 0 decimal point 8 3.

A.8.88 inches

B.6.94 inches

C.9.16 inches

D.8.05 inches

Answer:

the digit 3 (or 30,000,000,000) is in the ten billions place.

Exact numbers have no uncertainty, this is never possible when measuring something since every measure we perform has a certain degree of uncertainty (You cannot measure fractions of a millimeter with a common ruler, for example).

Therefore, the answer is that that number is a measured one, a measured quantity

Answer:

Gracias por favor

Step-by-step explanation:

Answer:

1073.45 in²

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The equation to solve for the area of a circle is:

But wait, we don't have a radius to fix in the equation! Well to solve for the radius when given diameter, we can use the expression:

Now that we know this, we can insert 37 in for the diameter:

So, the radius of the circle is 18.5 inches.

Inserting 18.5 into the expression for the radius:

Using 3.14 for pi:

Therefore, the area of a circle with a diameter of 37 inches is 1073.45 in².

La edad actual de José es de 30 años.

Para resolver este problema, primero debemos establecer ecuaciones basadas en la información proporcionada. Llamemos "x" a la edad actual de José y "y" a la edad actual de Ana. Según la primera condición, la edad de Ana es la mitad de la edad de José, por lo que podemos escribir la ecuación: y = (1/2)x.

La segunda condición nos dice que dentro de 10 años, sus edades serán dos tercios de sus edades actuales. Esto se puede expresar como: (x + 10) * (2/3) = y + 10.

Reemplazando el valor de y en la segunda ecuación con la primera ecuación, obtenemos: (x + 10) * (2/3) = (1/2)x + 10.

Resolviendo esta ecuación, podemos simplificarla y llegar a: 2(x + 10) = 3[(1/2)x + 10].

Al resolver la ecuación resultante, encontramos que x = 30.

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Answer:

y=2x-6

Step-by-step explanation:

y+4=-2(x-1)

Since the slope intercept form is in the form of:

y=mx+c

Making above equation in this form.

y+4=-2(x-1)

opening bracket

y+4=2x-2

subtracting both side by 4.

y+4-4=2x-2-4

y=2x-6

This equation is the slope intercept form.

Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.

Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:

Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)

The number of pounds of strawberries sold and the number of pounds of grapes sold is 32 and 20 respectively.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given that the selling price of strawberries each pound = $2.50,

The selling price of grapes each pound = $2

The total earning = $160

Let x is the no of a pound of strawberries and y is the no of a pound of grapes sold, then equation will be,

x = y + 12 and 2.50x + 2y= 160

Solve the equation by substitution method;

x = 32 and  y = 20

Therefore, the number of pounds of strawberries sold is 32

the number of pounds of grapes sold is 20.

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The percentage change of the population is P = 1.7 %

Given data ,

To calculate the percent increase from 2014 to 2015, we need to find the difference between the two population values, divide it by the initial value, and then multiply by 100 to get the percentage.

Population increase = 7,375 - 7,250 = 125

Percent increase = (Population increase / Initial population) * 100

Percent increase = (125 / 7,250) * 100 ≈ 1.7241

Rounding to the nearest tenth of a percent, the percent increase is approximately 1.7%.

Hence , the percentage change is P = 1.7 %

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No, he is incorrect. Using a number line to model thirds means that each space that is 1/3 should be divided into 3 parts, not 2 parts. 6 parts divided into 3 groups gives 2 parts out of 9 parts total, so the answer is 2/9.

Answer:

No, he is incorrect. Using a number line to model thirds means that each space that is 1/3 should be divided into 3 parts, not 2 parts. 6 parts divided into 3 groups gives 2 parts out of 9 parts total, so the answer is 2/9.

Step-by-step explanation:

sample responce

88 kilometers per hour in miles per hour is 54.68 mi/hr

Note that:

1 km = 0.6214 miles

The measurement to convert is 88 kilometers per hour

Multiply 88 kilometers per hour by 0.6214 to convert to miles per hour

88 kilometers per hour = 88 x 0.6214 miles per hour

88 kilometers per hour = 54.6832 miles per hour

88 kilometers per hour =  54.68 mi/hr

Therefore, 88 kilometers per hour in miles per hour is 54.68 mi/hr

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The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Answer:

C.)  P(5, H) = 1/12

Step-by-step explanation:

Answer:

P(5, H) = 1/12

Answer:

$204

Step-by-step explanation:

First, you have to find the price without VAT. To calculate it you have to divide the price including VAT by one plus the rate:

Price including VAT= $240

VAT= 14%

240/(1+0.14)= 240/1.14= 210.52

Now, you have to calculate the 15% of 210.52 and subtract that amount from the price:

210.52*0.15=31.57

210.52-31.57=178.95

Then, you have to calculate the 14% VAT by multiplying the price for 1 plus the rate:

178.95*(1+0.14)= 178.95*1.14= 204

According to this, the reduced price of the shoes including VAT is $204.

A system of two linear inequalities in two variables is similar to a system of two linear equations in two variables in that they both have the following features:

a. Point of intersection: Both systems of equations and inequalities can have one or more points of intersection, which are the points at which the lines or planes representing the equations or inequalities intersect.

b. Overlaps: Both systems can have overlapping regions, which are areas in the coordinate plane that satisfy both equations or inequalities.

c. Boundary lines: Both systems can have boundary lines, which are the lines that represent the equations or inequalities and divide the coordinate plane into different regions.

d. Points that are not boundary lines: Both systems can have points that are not boundary lines, which are points that do not lie on the lines representing the equations or inequalities.

Answer:

a

Step-by-step explanation:

the perimeter (P) of a square is the sum of the 4 congruent sides.

the area of a square is calculated as

area = s² ( s is the length of a side )

here area is 36 , then

s² = 36 ( take square root of both sides )

s = \(\sqrt{36}\) = 6

then

P = 4s = 4 × 6 = 24 cm

For the given arena's tickets sales , the round of figure of all the sales to the nearest thousand is given by :

   Events                                         Nearest thousand

As given in the question,

Rules to round of nearest thousand are:

Check the near by hundred digit :

Given is the actual ticket rates of the different events tickets sales ,round off to the nearest thousand is given by:

 Events                                         Nearest thousand

Therefore, For the given arena's tickets sales , the round of figure of all the sales to the nearest thousand is given by :

   Events                                         Nearest thousand

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Answer:

she can buy 3

Step-by-step explanation: 3.50x3=10.50 which is the closest you can get without going over the price range

The size of the angle between AH and the plane ABCD is approximately 74.4°, rounded to one decimal place.

To find the size of the angle between AH and the plane ABCD in the given cuboid, we can use the concept of three-dimensional geometry.

First, let's consider the right triangle BCA. The given angle BCA is 48°, and we know that the length of AB is 7.3 cm. Using trigonometric functions, we can find the length of BC:

BC = AB * sin(BCA)

BC = 7.3 * sin(48°)

BC ≈ 5.429 cm

Now, let's look at the right triangle BAH. The length of AH is given as 8.1 cm. We can find the length of BH by subtracting BC from AB:

BH = AB - BC

BH ≈ 7.3 - 5.429

BH ≈ 1.871 cm

Next, let's consider the right triangle ABH. We want to find the angle BAH, which is the complement of the angle between AH and the plane ABCD. We can use the cosine function to find the angle BAH:

cos(BAH) = BH / AH

cos(BAH) ≈ 1.871 / 8.1

BAH ≈ arccos(1.871 / 8.1)

BAH ≈ 74.4°

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Step-by-step explanation:

Subtract 9.25 from 1718.

4.25 * 1708.75s

Multiply 4.25 by 1708.75.

7262.1875s

Solution - 7262. 1875s

Solution of the expression is,

⇒ 33.70 s

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The expression is,

⇒ 4.25(17.18 − 9.25) s

Now, We can simplify as;

⇒ 4.25(17.18 - 9.25) s

⇒ 4.25 × 7.93 s

⇒ 33.70 s

Thus, Solution of the expression is,

⇒ 33.70 s

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The equation can be written as:

4 + 5 / 2

Remember to follow PEMDAS.

4 + 5 / 2

4 + 2.5

6.5

Best of Luck!

Answer:

If you mean whats 4+5/2 the answer is 6.5 because PEMDAS says to Divide first . So 4+(5/2). 5/2 is 2.5. so 4+(2.5) which equals 6.5

a) Probability that the next accident occurs between 50 and 100 days = 0.2044198

b) Probability that the time until an accident occur exceeds the mean time by more than 2 standard deviations =  0.04978707

c) The probability that it will be at least 80 days until an accident occurs = 0.2865048

d) the value of the median time until an accident occurs = 27.7258

Median time

a) Let T be the amount of time until an industrial facility accident occurs.

Daily rate lambda = 1/Mean = 1/40

Exp(lambda = 1/40), T

If the distribution is exponential,

P(T t) = 1 - exp (-lambdat) = 1 - exp(-t/40)

P(50 T 100) is the probability that the next accident will occur between 50 and 100 days.

= P(T < 100) - P(T < 50)

= (1 - exp(-​​​​​​​100/40)) - (1 - exp(-​​​​​​​50/40))

= exp(-1.25) (-1.25) - exp(-2.5) (-2.5)

= 0.2865048 - 0.082085

= 0.2044198

b) Standard deviation = Mean = 40 in the case of an exponential distribution.

The probability of the next accident occurring exceeds the mean time by two standard deviations.

= P(T > 40 + 2 * 40)

= P(T > 120)

= exp(-​​​​​​​120/40)

= exp (-3)

= 0.04978707

c) Given that there is no accident until 30 days, the likelihood is that it will be at least 80 days before an accident occurs.

= P(T > 80 | T > 30)

= P(T>80 and T>30) / P(T>30)

= P(T > 80) / P(T > 30)

= p(- 80/40) / exp(- 30/40)

= exp(-50/40) = (-1.25)

= 0.2865048

d) If the distribution is exponential,

P(T t) = 1 - exp(-lambdat) = 1 - exp(- t/40).

P(T t) = 0.5 for the median value Tm.

1 - exp(-​​​​​​​Tm/40) = 0.5

exp(-​​​​​​​Tm/40) = 0.5

-​​​​​​​Tm/40 = log (0.5)

-​​​​​​​Tm/40 = -0.6931472

Tm = 40 * 0.6931472

= 27.72589 days

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The inequality on the graph is the third option:

(2/5)*x - 3/2 ≥ y

Let's analyse the graph if the inequality.

We can see that there is a solid linear equation with a positive slope, and the shaded area is below that line, then the inequality is of the form:

y ≤ linear equation.

We know that the symbol "≤" must be used because of the solid line.

We also can see that when x = 0, y takes a velue between -1 and -2.

With that in mind the correct option is the third one:

(4/5)*x - 2y ≥ 3

Isolating y we get:

(4/5)*x - 3 ≥ 2y

(2/5)*x - 3/2 ≥ y

Changing the order:

y ≤ (2/5)*x - 3/2

That is the graphed inequality.

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