What is 521.3215 rounded to the nearest hundredth

The slope of the line passing through (- 1, 3) and (1, - 2) is - 5/2.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the steeper its graph or the rate of change is large.

From the given line we can identify two coordinate points,

(- 1, 3) and (1, - 2).

Now, We know slope(m) = (y₂ - y₁)/(x₂ - x₁).

slope(m) = (- 2 - 3)/(1 + 1).

slope(m) = - 5/2.

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The monthly principle is $1000

Biweekly pay describes when employees are paid every other week on a specific day of the week. For example, if you want to establish a biweekly pay schedule, you might choose to pay your employees every other Friday. Since every calendar year has 52 weeks, this results in a total of 26 paychecks per year.

Since there are 4 weeks In a month

bi-week = 4/2 = 2 weeks

therefore the monthly principle = 500× 2 = $1000

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Hence, the values of cοsine and cotangent functions for angle theta are -√(2)/2 and -1, respectively.

Angles between 0 and 90 degrees are cοnsidered acute. Obtuse angles fall within this range and vary frοm 90° to 180°.  A right angle is knοwn as an angle with a 90-degree angle (= 90°).

The pοint (-√(2)/2, √(2)/2) lies on the unit circle in the second quadrant, which means that the cοrresponding angle theta has a reference angle of pi/4.

The cοsine of theta is the x-coordinate of the point on the unit circle corresponding to theta. Since the x-coοrdinate of the given point is -√(2)/2, we have:

cοs(θ) = -√(2)/2

The cοtangent of theta is the ratio of the cosine of theta to the sine of theta. We can find the sine of theta by using the Pythagοrean theorem, since the pοint (-√(2)/2, √(2)/2) lies on the unit circle:

sin(θ) = √(1 - cos²(θ)) = √(1 - (-√(2)/2)²) = √(2)/2

Therefοre, we have:

cot(θ) = cos(θ) / sin(θ) = (-√(2)/2) / (√(2)/2) = -1

Hence, the values of cοsine and cotangent functions for angle theta are -√(2)/2 and -1, respectively.

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The sectors of the circle graph is solved and the field trip with the measure of section is

Aquarium = 90°

Science Museum = 144°

Botanical Gardens = 54°

Planetarium = 72°

In circles, a sector is said to be a part of a circle made of the arc of the circle together with its two radii. This means that it is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.

The formula for Area of a sector is given as;

θ/360 * πr²

where;

θ is the central angle of the sector

r is radius

Now, looking at the given options we can say that the only one that represents the area of the sector is;

A = n/360 * πr²

where n is the central angle of the sector

Given data ,

Let the area occupied by the circle be represented as A

Now , the values of A are

Let the field trip be represented as y

Let the number of votes be represented as x

y = { Aquarium , Science Museum , Botanical Gardens , Planetarium }

x = { 30 , 48 , 18 , 24 }

Now , the total sector angle occupied by field trip is T = 120°

x₁ = ( 30/120 ) x 360

x₁ = ( 1/4 ) x 360

x₁ = 90°

when x₂ = 48

x₂ = ( 48/120 ) x 360

x₂ = ( 0.4 ) x 360

x₂ = 144°

when x₃ = 18

x₃ = ( 18/120 ) x 360

x₃ = ( 0.15 ) x 360

x₃ = 54°

when x₄ = 18

x₄ = ( 24/120 ) x 360

x₄ = ( 0.2 ) x 360

x₄ = 72°

Hence , the measures of the section of circle is solved

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The equation where F(x) = G has no solution (x). By graphing the functions, the answer has been discovered.

The creation of a relevant function's graph is the first step in the graphing process. If a curve reflects the function at a given point, the curve at that point satisfies the function equation.

We are given two functions as f(x) = (3x + 2) and g(x) = (3x - 5)

The graph of the given functions has been plotted and attached below.

In the graph, the red line represents the f(x) function and the blue line represents the g(x) function.

From the graph, it is clear that the two lines are parallel, therefore they will never meet.

Hence, there is no solution where F(x) = G(x).

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Question: Graph the following functions and determine where F(x) = G(x). Select all that apply.

f(x)=(3x+2) and g(x)=3x-5

Answer:

Below

Step-by-step explanation:

x = original amount of fabric

2/9 * x = amount of cut fabric

8/9 * ( 2/9 * x) = amount of fabric used

8/9 * 2/9 * x =   ( 8 *2) / ( 9 * 9) * x = 16 / 81  x

 she used 16/81  of her fabric

Marginal cost refers to the additional cost of producing one more unit of a product or service.

Marginal cost is the cost of producing one additional unit of a good or service.

In math, marginal cost refers to the additional cost of producing one more unit of a product or service. It is calculated by taking the change in total cost divided by the change in quantity produced.

Marginal cost is an important concept in economics and is used to determine the optimal level of production to maximize profits.

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The answer of the given question based on linear equations what is the y intercept of the line b =4.

In  linear equation of  form y = mx + b, where m is slope and b is  y-intercept, the y-intercept is  point at which  line intersects the y-axis. It is  value of y when x is equal to a zero.

To find the y-intercept of the line, we need to identify the point at which the line intersects with the y-axis. This is the point where x=0.

From the given graph, we can see that when x=0, the point on the line is (0, 4). Therefore, the y-intercept (b) of the line is 4.

So, the answer is:

b = 4

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Answer:

b=2

Step-by-step explanation:

its 2 not 4 the dot is located on 2 in between the first and second quadrant.

Answer:

f(x)>[tex]\sqrt{1-x}[/tex]

Step-by-step explanation:

because it is above the x axis it is >

Because it is -x is moves to the right

because it is a dotted line and not solid it is >

Based on the information provided, it can be concluded the loan's simple interest is 4.01%.

The simple interest is the difference between the future value of the loan and the loan amount.

Simple interest = future value - loan amount $2762 - $2300 = $462

The simple interest rate is a linear function of the loan amount, the interest rate, and the duration of the loan. The simple interest that is paid is the same each year for each period of the duration of the loan.

Simple interest = loan amount x time x interest rate

Interest rate = simple interest / (loan amount x time) = 462 ÷ (6/12 x 2300) = 0.401= 4.01%

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Answer:

= 12q² - 3

Step-by-step explanation:

3(-4q² - 1)

= -12q² - 3

Answer:

8.10

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Having a budget keeps your spending in check and makes sure that your savings are on track for the future. Budgeting can help you set long-term financial goals, keep you from overspending, help shut down risky spending habits, and more.

The amount that Fatima will pay each month for the student loan of $15,000 for 10 years at 8.25% interest is $183.98.

The monthly payment can be computed using an online finance calculator below.

The monthly payment shows the periodic amount that the borrower repays the financier to settle the student loan, including accumulated interest.

N (# of periods) = 120 months (10 years x 12)

I/Y (Interest per year) = 8.25%

PV (Present Value) = $15,000

FV (Future Value) = $0

Results:

Monthly payment (PMT) = $-183.98

Sum of all periodic payments = $-22,077.47

Total Interest = $7,077.47

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Answer:

[tex]1 - 25xy2256xx28( [/tex]

Answer:

The result of subtracting 3 km 500 m from 10 km is 6500 m (Or expressed in kilometers: 6.5 km).

Step-by-step explanation:

Hi,

We need to convert both measurements to the same unit (either km or meters) and then subtract:

Reminder:

1 km = 1000 m

=> 10 km = 10 * 1000 = 10000 m

=> 3 km 500 m = 3 * 1000 + 500 = 3500 m

Now we can subtract:

10000 m - 3500 m = 6500 m

The result of subtracting 3 km 500 m from 10 km is 6500 m (Or expressed in kilometers: 6.5 km).

Good luck!

The population in this case is all adults in the United States, and the sample is the 1001 adults who were surveyed by Citrix Security.

The sample was selected in such a way as to be representative of the larger population of adults in the United States.

The value of 69% is a statistic, not a parameter. A statistic is a measure that describes a characteristic of a sample, while a parameter is a measure that describes a characteristic of a population. In this case, the 69% refers to the proportion of the 1001 adults surveyed who believe that having their personal information stolen is inevitable, which is a characteristic of the sample. It does not necessarily reflect the proportion of all adults in the United States who hold this belief, which would be a parameter.

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Fabian has $0.05x + $0.01y in total.

If Fabian has 130 nickels, his collection is worth:

130 nickels at $0.05 each translate to $6.50.

Moreover, if he has 120 cents, the total amount is:

120 pennies multiplied by the price of a penny ($0.01) equal $1.20.

Combining these two numbers, Fabian has:

$6.50 + $1.20 = $7.70

Fabian now has $7.70 in total.

If Fabian owns x nickels, the worth of those nickels is:

x nickels * 0.05 cents each nickel = 0.05x

Moreover, if he possesses y cents, the total worth is:

y pennies * $0.01 per penny = $0.01y

Combining these two numbers, Fabian has:

$0.05x + $0.01y

Fabian therefore has a total of $0.05x + $0.01y.

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Answer:

a) 15, 25

Step-by-step explanation:

Finding the average is to find the sum and divide it by the quantity of the numbers.

(15 + 25) / 2 = 40 / 2 = 20, 20 is the average of two numbers.

However standard deviation includes at least one degree of 2.

x1 + x2 = 40

SD = 5

= [tex]\sqrt{[(x_1 - 20)^2 + (x_2 - 20)^2]/2 \\}= 5\\ x_1 = 15, or x_1 = 25\\x_2 = 15 or x_2 = 25[/tex]

The product of 6 √12 and 2√14 in simplest radical form is 24 √42 .

Radical - The √ symbol that is used to denote square root or nth roots. Radical Expression - A radical expression is an expression containing a square root.

We have to find the product of 6 √12 and 2√14 in simplest radical form.

So,   6 √12 x  2√14

= 12 x √12 x √14

= 12 x 2√3 x √14

= 24 x √3 x √14

= 24 √42

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Answer:

[tex]x=1[/tex]

Step-by-step explanation:

First, square both sides.

[tex]\left(\sqrt{3+\dfrac{\left(4 + \sqrt{x+3} \, \right)^2}{6}}\, \right)^2= 3^2[/tex]

[tex]3+\dfrac{\left(4 + \sqrt{x+3} \, \right)^2}{6} = 9[/tex]

This eliminates the square root over the entire left side of the equation.

Next, multiply both sides by 6 to get rid of the fraction on the left side.

[tex]6\left(3+\dfrac{\left(4 + \sqrt{x+3} \, \right)^2}{6}\right) = 6( 9)[/tex]

[tex]6(3) + \left(4 + \sqrt{x+3} \, \right)^2 = 6(9)[/tex]

[tex]18 + \left(4 + \sqrt{x+3} \, \right)^2 = 54[/tex]

Then, subtract 18 from both sides to isolate the squared term.

[tex]18 + \left(4 + \sqrt{x+3} \, \right)^2 = 54\\\underline{-18 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \: } \ \ \ \ \ \underline{ - 18}[/tex]

[tex]\left(4 + \sqrt{x+3} \, \right)^2 = 36[/tex]

Now, we can square root both sides.

[tex]\sqrt{\left(4 + \sqrt{x+3} \, \right)^2} = \sqrt{36}[/tex]

[tex]4 + \sqrt{x+3} = \pm 6[/tex]

Remember to use apply the even root property, so that the right side (6) is positive or negative (indicated by the plus or minus sign).

Next, subtract 4 from both sides.

[tex]4 + \sqrt{x+3} = \pm 6 \\ \underline{-4\ \ \ \ \ \ \ \ \ \ \: } \ \ \ \ \ \underline{ - 4}[/tex]

[tex]\sqrt{x+3} = \pm 6 - 4[/tex]

Then, square both sides to get rid of the square root on the left side.

[tex]\left(\sqrt{x+3}\right)^2 = (\pm 6 - 4)^2[/tex]

[tex]x+3 = 2^2[/tex]    OR    [tex]x+3 = (-10)^2[/tex]

We can see that there are two resulting expressions, each of which we can solve individually.

[tex]x+3 = 4[/tex]    OR    [tex]x+3 = 100[/tex]

[tex]\boxed{x = 1}[/tex]                 [tex]\boxed{x\ne97}[/tex]

The reason that x = 97 is crossed out is because when we plug that x-value back into the original equation, it does not come out to be true. Therefore, 97 is an extraneous solution.

Also, see the attached image for another solution (that implores another method).

Answer:

  x = 1

Step-by-step explanation:

You want to solve for x:

  [tex]\sqrt{3+\dfrac{(4+\sqrt{x+3})^2}{6}}=3[/tex]

At any stage where there is a root, you isolate the radical and raise both sides of the equation to a power sufficient to eliminate the radical. Repeat as necessary.

The radical is already on one side of the equation by itself, so we simply square both sides:

  [tex]3+\dfrac{(4+\sqrt{x+3})^2}{6}=9\\\\(4+\sqrt{x+3})^2=6^2\qquad\text{subtract 3, multiply by 6}\\\\|4+\sqrt{x+3}|=6\qquad\text{take the square root}[/tex]

At this point, we note that the sum cannot be negative, so the absolute value bars are irrelevant. Isolating the radical and squaring both sides, we can finish the solution.

  [tex]4+\sqrt{x+3}=6\\\\\sqrt{x+3}=2\qquad\text{subtract 4}\\\\x+3=4\qquad\text{square both sides}\\\\\boxed{x=1}\qquad\text{subtract 3}[/tex]

This is the only solution, as the attached graph shows.

__

Additional comment

Generally, the square root symbol means the positive square root. That is, √z is usually considered to be non-negative.  This is why we use ±√z when we want both signs of the root.

In this problem, the only root we're taking as part of the solution is the root of a square. The possibility of a negative value for the term being squared is handled by using the absolute value brackets: √(z²) = |z|.

For solving these using a graphing calculator, we like to rewrite the equation to the form f(x)=0. That way, the solutions are the x-intercepts.

0% would indicate that the kids have not gathered any leaves for the scientific project, and 100% would indicate that they have succeeded in collecting 200 leaves.

In mathematics, a percentage is a quantity or a ratio that is expressed as a fraction of 100. Calculating a percentage involves multiplying a quantity by 100 and dividing it by the total.

To determine "how much" or "how many," utilise the percentage. Calculating the precise quantity or figure that is being discussed is made easier with the use of a percentage. We compare fractions. determining a percentage rise or fall aids in calculating profit and loss margins.

In this case, 0% would indicate that the kids have not gathered any leaves for the scientific project, and 100% would indicate that they have succeeded in collecting 200 leaves for the project.

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The value of the x-coordinate of point A is  -0.342

If we measure the angle from the x-axis, we will get:

angle = 90° + 20° = 110°

Now remember that the rectangular coordinates are for a point with radius R and defined by an angle a are given by the expressions below:

x = R*cos(a)

y =R*sin(a)

Where in this case we can see that we have an unit circel, thus, R = 1, and a is the angle, in this case 110° as we saw above.

Then the x-coordinate of point A is:

x = 1*cos(110°) = -0.342

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The coordinate notation for a clockwise rotation of 180° about the origin include the following: (x, y) → (-x, -y).

In Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Generally speaking, the mapping rule for the rotation of a geometric figure about the origin by 180° is given by this mathematical expression:

(x, y) → (-x, -y)

Where:

In conclusion, the transformation rule (x, y) → (-x, -y) is used for the rotation of a geometric figure about the origin in a clockwise direction.

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The correct inequality that represents how many video games he could buy is C. 15.99x + 9.99 ≤ 100.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Let x be the number of video games Manny wants to buy.

The total cost will be the sum of the cost of the video games and the shipping charges:

Total cost = (number of video games) × (cost per game) + (shipping charges)

Total cost = 15.99x + 9.99

Since Manny can spend at most $100, we can write the inequality:

Total cost ≤ 100

15.99x + 9.99 ≤ 100

Therefore, the correct inequality that represents how many video games he could buy is C. 15.99x + 9.99 ≤ 100.

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Therefore, the probability that X is between 5.5 and 7.5 is approximately 0.0808.

If a company creates apparel and sells it to people directly through an online site, it may be using direct distribution.

To solve this problem, we need to standardize the distribution of X to a standard normal distribution. This is done using the following formula:

Z = (X - μ) / σ

where Z is the standard normal variable, X is the normally distributed variable, μ is the mean of X, and σ is the standard deviation of X.

Using the given values, we have:

Z1 = (5.5 - 2.6) / 2.2 = 1.318

Z2 = (7.5 - 2.6) / 2.2 = 2.682

We can then find the probability using the standard normal distribution table or a calculator with a built-in normal distribution function.

Using the table or calculator, the probability is:

P(5.5 ≤ X ≤ 7.5) = P(1.318 ≤ Z ≤ 2.682) = 0.0808 (rounded to four decimal places)

Therefore, the probability that X is between 5.5 and 7.5 is approximately 0.0808.

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XPO's minimum tax credit carryover to 2019 is $20,500.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants. An algebraic expression is a mathematical phrase that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

XPO's minimum tax credit from 2017 is $51,000. This means that they are allowed to reduce their 2018 tax liability by up to $51,000 using this credit.

Since their 2018 tax liability before any MTC carryover is $30,500, they have not used the entire minimum tax credit for 2017. Therefore, they can carry over the remaining credit to 2019.

To calculate the minimum tax credit carryover to 2019, we need to subtract the amount of the minimum tax credit that XPO used in 2018 from the total minimum tax credit of $51,000:

Minimum tax credit carryover = $51,000 - $30,500 = $20,500

Therefore, XPO's minimum tax credit carryover to 2019 is $20,500.

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As a result, the price of the ribbons is proportional to the number of party favours, with each Favour costing (3/4) dollars.

A measurable quality such as weight, length, time, volume, or pressure is referred to as quantity. A unit is a unit of measurement that is used to measure other quantities (for example, a gramme, a second, a liter, or a pascal are unit of the above quantities). Chemists employ a wide range of measurements.

The amount of ribbon required for n party favours is calculated as follows:

19n inches (since each party Favour requires 9 inches of ribbon)

As the price is stated in dollars per yard, we must first convert the amount of inches to yards before we can determine the ribbon's total cost. Since there are 36 inches in every yard, we can calculate the number of yards by dividing the total amount of inches by 36:

Total yards of ribbon = (9n) / 36 = (n) / 4

Thus, the following phrase represents the ribbon's overall cost:

3 × (n/4) = (3n) / 4 dollars

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The exact values are;

Sin 2x = 7/8

Cos 2x = 7/4

Tan 2x = 1

Trigonometric ratios are mathematical functions that relate the angles and sides of a right-angled triangle. The three primary trigonometric ratios are:

Sine (sin) - the ratio of the length of the opposite side to the length of the hypotenuse.

Cosine (cos) - the ratio of the length of the adjacent side to the length of the hypotenuse.

Tangent (tan) - the ratio of the length of the opposite side to the length of the adjacent side.

Given that sinx = 7/16

opposite = 7

Hypotenuse = 16

Adjacent is now;

b^2 = 16^2 - 7^2

b = 14

Thus;

Sin 2x = 14/16 = 7/8

Cos 2x = 2(14/16) = 28/16 = 7/4

Tan 2x = 2(7/14) = 14/14 = 1

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