How much interest would $1,600 earn in 1 year at an annual rate of 3% compounded
annually? What would be the new balance?

The value of a makes quadrilateral tuvw a parallelogram is 1.

What is the quadrilateral bisect?

If a quadrilateral is a parallelogram, then its diagonals bisect each other. If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

It should be noted that a quadrilateral simply means a four sides polygon that has four edges and four vertices, when the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram

We have,

tx=13a and vx=a+12,

To find the value of a that makes quadrilateral tuvw a parallelogram.

As the diagonal of quadrilateral bisects each other:

tx = vx

13a = a+12,

13a - a  = 12

a  = 12/12

a = 1,

Hence, the value of a makes quadrilateral tuvw a parallelogram is 1.

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A two-sample t-test is the inferential statistical test that would be best suitable to this situation.

The area of mathematics known as probability deals with numerical representations of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an occurrence, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

A t-test is a method for evaluating hypotheses that involve examining the means of one or more populations. A t-test can be used to determine if one group deviates from a predetermined value, whether two groups diverge from one another (an independent two-sample t-test), or whether paired measurements reveal a statistically significant difference.

According to the question, we can say

With 12 technicians each, there are two techniques. To put it another way, the sample sizes are really small. Aside from that, there is no connection between the two samples. A two-sample t-test should be used as a result.

Thus, a two-sample t-test is the inferential statistical test that would be best suitable to this situation.

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The solution of the equation 3z minus 2 is equal to 46 is 16.

The given equation '3z minus 2 is equal to 46' can be written as

    3z - 2  =   46

Now solving for z because the value of z will give the required solution of the given equation. So now finding the z from the equation:

   3z = 46  + 2

   3z =  48

   z = 48/3

   z = 16

The value of the z is 16 which represents the solution of the given equation i.e 3z minus 2 is equal to 46.

Therefore it is concluded that the solution of the equation 3z minus 2 is equal to 46 is 16.

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The time that Siobhan’s family should leave for the trip to the Grand Canyon, if they plan to arrive at 3 : 30 pm, is 7 : 30 am.

If the trip will take 5 hours of driving and three 1-hour stops, then the total time spent on the road is 5 hours + 3 hours = 8 hours.

If the family wants to arrive at the Grand Canyon at 3:30 pm, then they need to subtract the time spent on the road from their arrival time to determine the time they need to leave.

3:30 pm - 8 hours = 7:30 am

In conclusion, Siobhan's family should plan to leave at 7:30 am to arrive at 3:30 pm

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Answer:

the vdfjwhr

Step-by-step explanation:

the answer is

Answer:

Step-by-step explanation:

d

Answer: -1/38

Step-by-step explanation:

Answer:

The answer can be written in multiple forms listed below

[tex]-\frac{11}{8}[/tex]  or  [tex]-1\frac{3}{8}[/tex]  or [tex]-1.375[/tex]

Step-by-step explanation:

Given [tex]-\frac{3}{4}+-\frac{5}{8}[/tex].

A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign.

[tex]-\frac{3}{4}-\frac{5}{8}[/tex]

Write each expression with a common denominator of [tex]8[/tex].

[tex]4*2=8[/tex]

[tex]\frac{2(-3)}{2*4}-\frac{5}{8}[/tex]

[tex]\frac{2(-3)}{8}-\frac{5}{8}[/tex]

Multiply [tex]2[/tex] and [tex]-3[/tex].

[tex]\frac{-6}{8}-\frac{5}{8}[/tex]

Combine the numerators over the common denominator.

[tex]\frac{-6-5}{8}[/tex]

Subtract [tex]5[/tex] from [tex]-6[/tex].

[tex]\frac{-11}{8}[/tex]

The answer can be written as

[tex]-\frac{11}{8}[/tex]  or  [tex]-1\frac{3}{8}[/tex]  or [tex]-1.375[/tex]

An equation of the line of best fit in slope-intercept form include the following: y = -10x + 105.

If the trend continues, the number of pairs of shoes that would be left in stock 10 days after the shipment arrived is 5 pairs of shoes.

In order to write an equation of the line of best fit in slope-intercept form, we would use the given data points. Mathematically, the slope-intercept form of a line can be calculated by using this equation:

y = mx + c

Where:

Next, we would determine the slope by using the given data points as follows;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (45 - 95)/(6 - 1)

Slope, m = -50/5

Slope, m = -10.

At point (1, 95), an equation of this line can be calculated in slope-intercept form as follows:

y - y₁ = m(x - x₁)

y - 95 = -10(x - 1)

y - 95 = -10x + 10

y = -10x + 10 + 95

y = -10x + 105

For the number of pair shoes left in stock 10 days, we have:

y = -10(10) + 105

y = -100 + 105

y = 5 pairs of shoes.

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Answer:

Step-by-step explanation:

If we complete the shape it will be square of side of 8 miles.

The added part is a rectangle of 5×2 miles.

The figure will have the area of their difference:

Displacement is calculated as the shortest distance between starting and final point which prefers a straight-line path over curved paths.

Displacement is the distance between two different positions of an object in m motion. So, it depends on the initial position and its final position. Also, displacement is the minimum distance between the starting and final positions.

Suppose a body is moving in two different directions x and y then the Resultant Displacement will be S=√x²+y²

Example 1: The path distance from the garden to a school is 5 m west and then 4 m south. A builder wants to build a short-distance path for it. Find the displacement length of the shortest path.

Solution: Distance to the west x = 5 m

Distance to the south y = 4 m.

Displacement is given by S=√x²+y²

s = 6.403 m.

The builder can build a path for a displacement length of 6.7 m.

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The formula to solve the displacement is written as Δx  = xf − xi

The term displacement is defined as  the change in the position of any point or object. It has a direction and magnitude, so it is a vector quantity and it is shown with an arrow that points from the starting position to the final position.

In order to find the displacement by determining the object’s initial and final position.

Therefore, the displacement formula is written as,

=> Δx  = xf − xi

Here xf refers the final position,

And the variable xi is the initial position, and

Then the term Δx is the change in the position of the object.

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The sample variance is the most accurate point estimate of the population variance sigmasquared.

The best point estimate of the population variance is the sample variance. This is because the sample variance is an unbiased estimator of the population variance, meaning that it is the most accurate estimate of the population variance. The sample variance is calculated by taking each individual data point, subtracting the sample mean, squaring the result, and then summing the results. The sample variance then is the sum of these squared differences divided by the number of data points minus one. This is a consistent estimator, meaning that it will always produce the same result even if the sample size is different. This is why the sample variance is the best point estimate for the population variance.

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x²= 9² + 7²

x =√81+49

x=√130

x≈11.40

Answer:

x=11.40

Step-by-step explanation:

On solving the provided question, we can say that - here in logarithm [tex]- 8c = 7c - 75 = (8+7)c = 75 = 15c = 75= > c = 5[/tex]

The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).

here,

log(-c) + log8 = log (7c-75)

log (-8c) = log (7c-75)  (∵ log a + log b = log ab)

[tex]- 8c = 7c - 75 \\ (8+7)c = 75\\15c = 75\\= > c = 5[/tex]

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The solutions of the quadratic equation:

x^2 + 8x = -15

are

x = -5

x = -3

So here we have the following quadratic equation:

x^2 + 8x = -15

First, we can rewrite the equation as:

x^2 + 8x + 15 = 0

The solutions are given by the quadratic formula:

[tex]x = \frac{-8 \pm \sqrt{8^2 - 4*1*15} }{2} \\\\x = \frac{-8 \pm \sqrt{4} }{2}\\\\[/tex]

Then the two solutions are:

x = (-8 - 2)/2 = -5

x = (-8 + 2)/2 = -3

Y assume that the options are for another question, or the quadratic equation is written incorrectly.

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Answer:

y=x+1

Step-by-step explanation:

because the rise is 13 and the run is 13, x is 1 or just x. The y intercept is 1 so y=x+1

The method for calculating an angle depends on the information available to you. Here are a few typical methods for determining an angle θ:

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A block of silver mass of the block is 15 kg when heated from 30°C to 68°C. The thermal energy added to the block of silver is 0.13395 J

Thermal energy is the term used to describe the energy present in a system that determines its temperature.

The movement of thermal energy is heat. How heat is transmitted across various systems and how work is accomplished in the process is the subject of a large branch of physics called thermodynamics.

Thermal energy is calculated using the formula

= m c ΔT

m = mass = 15 kg = 0.015g

c = specific heat = 0. 235J/g∘C

ΔT = temperature change = 68 - 30 = 38

= 0.015 * 0.235 * 38

= 0.13395 J

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The equation of circle does not have any solution

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The circumference of a circle C with a radius of r units is approximately given by the linear equation C = 6.3r.

We need to find two solutions of this equation

The circumference of circle is 2πr

2πr= 6.3r.

The equation does not have solutions

Hence, the equation of circle does not have any solution

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a) An equation that relates the area of the desktop components is w(w+3) = w(7-w).

b) The value of w is 2.

c) The combined area of the desktop components is 20 square feet.

What is an area of an object?

The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. Draw a square on a piece of paper with a pencil. It is a two-dimensional figure. The area of the shape on the paper is referred to as its Area. Consider your square to be made up of smaller unit squares.

Given that two components joined together to make the desktop.

The width of both components is w ft.

The length of one component is 3+w ft.

The length of the other component is (7-w) ft.

The area of the first component is w(3+w) sq. ft.

The area of the second component is w(7-w) sq. ft.

The area of the components are equal.

Therefore,

w(3+w) = w(7-w)

3w + w² = 7w - w²

3w + w² - 7w + w² = 0

2w² - 4w = 0

2w(w - 2) = 0

Either                         or,

2w = 0                            w - 2 = 0

w = 0                                w = 2

Since the length of width is never zero, Thus w = 2.

The area of the component is w(3+w) +  w(7-w)  sq. ft

Putting w=2 in w(3+w) +  w(7-w)  sq. ft:

A = 2(3+2) +  2(7-2)  sq. ft

A = 10 +10  sq. ft

A = 20  sq. ft

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Answer:

[tex]\textsf{eight more than a number cubed} \longrightarrow 8+n^3[/tex]

[tex]\textsf{eight less than a number squared} \longrightarrow n^2 - 8[/tex]

[tex]\textsf{the difference of eight and twice a number}\longrightarrow 8-2n[/tex]

[tex]\textsf{the quotient of eight anda number increased by two } \longrightarrow \dfrac{8}{n} + 2[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 kg of pebbles we can purchase by using $10.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that there is a sale for pebbles

1KG of pebbles cost is $4.50.

We need to find how many kilograms of pebbles we can purchase by 10.

Let x be the pebbles we purchase for $10.

Let us form an equation

4.5/1=10/x

x=10/4.5

x=2.2

Hence, 2 kg of pebbles we can purchase by using $10.

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Answer:

v = 10

Step-by-step explanation:

-10 = -2 (v - 5)

-2 distribute by v and 5 becomes

-2v + 10

-10 = -2v + 10

Inverse Operation of +10 is -10

-10 - 10 = -20

-20 = -2v

v = 10

Answer:

x = 20/13

Step-by-step explanation:

Change the constant to right side and change the sign

x = 2 - 6/13

Calculate the difference

x = 20/13

Answer:

Yes

Step-by-step explanation: Not enough context.

Answer:

It's 4

Step-by-step explanation:

Trust the math

Answer: 4

Step-by-step explanation:

With the pythagorean theorem, a²+b²=c².

C² is always the hypotenuse, which in this case is [tex]2\sqrt 5\\[/tex]. The length of the base, a², is 2, ad we don't know b so we'll substitute it as "x".
So...
(2)²+(x)²=[tex](2\sqrt{5} )^2[/tex].

Simplify to get 4+(x)²=([tex]2\sqrt{5} \\[/tex])².

Now, to write as a single radical, we need to square the two ("undoing" the square root). So, we get ([tex]\sqrt{4} *\sqrt{5\\[/tex] )², which is ([tex]\sqrt{20}[/tex])². Since we're squaring a square root, the square root almost "cancels out", leaving just the 20.

Now going back to our pythagorean theorem equation,

4+(x)²=20. Now we can subtract 4, getting (x)²=16. Hence, x= ± 4, and since a side can't be egative, it's just 4.

VERIFICATION: (4)²+(2)²=20, =16+4=20 ✓

Check the picture below.  So based on those provided vertices the hyperbola looks pretty much like that one, with the center between the vertices of course

[tex]\textit{hyperbolas, vertical traverse axis } \\\\ \cfrac{(y- k)^2}{ a^2}-\cfrac{(x- h)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h, k\pm a)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2}) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=3\\ k=1\\ a=3\\ b=4 \end{cases}\implies \cfrac{(y-1)^2}{3^2}-\cfrac{(x-3)^2}{4^2}=1\implies \cfrac{(y-1)^2}{9}-\cfrac{(x-3)^2}{16}=1[/tex]

Since it is not a perfect square that would factor the expression entirely, 12 would be the correct answer.

Math allows for addition, subtraction, multiplication, and division. Following is the structure of an expression: Calculator, number or variable, and expression The components of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) You can contrast phrases and expressions.

given

the correct value would be 12 as

it is not a perfect square that would make the expression completely factored.

Since it is not a perfect square that would factor the expression entirely, 12 would be the correct answer.

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Answer:

x = 6

Step-by-step explanation:

5x + 3 = 33

     - 3.   - 3

5x = 30

5.      5

X = 6

Step 1: subtract 3 (3-3 & 33-3)

Step 2: divide by 5 (5x/5 & 30/5)

Step 3: answer is x = 6

The fractions () function in R is used to create a fractional number from a numeric vector. It takes a numeric vector and returns a fractional number based on the elements of the vector. It is useful when working with fractional numbers, such as when working with probabilities or financial calculations.

The fractions () function in R is used to create a fractional number from a numeric vector. It takes a numeric vector as its argument, and returns a fractional number based on the elements of the vector. The fractions () function is useful when working with fractional numbers, such as when working with probabilities or financial calculations. To use the fractions () function, you must first create a numeric vector that contains the values you want to use to create a fractional number. Next, you can call the fractions () function with the vector as the argument. The fractions () function will then return a fractional number that is equal to the sum of the elements in the vector. For example, if you had the vector c(1, 2, 3), the fractions () function would return the fractional number 6/1. This fractional number can then be used in any further calculations. The fractions () function in R is an easy and convenient way to create fractional numbers from numeric vectors.

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R's fractions () function can be used to convert a numeric vector into a fractional number. It accepts a numeric vector as input and outputs a fractional number based on the vector's elements.

A fractional number can be produced from a numeric vector using R's fractions () function. It accepts a numeric vector as an argument and outputs a fractional number based on the vector's components.

When working with fractional numbers, such as when working with probability or financial computations, the fractions () function is helpful. You must first generate a numeric vector containing the numbers you intend to utilise to construct a fractional number before using the fractions () function.

The vector can then be used as a parameter when calling the fractions () function. The sum of the items in the vector will subsequently be returned by the fractions () function as a fractional number.

The fractions () function, for instance, would return the fractional number 6/1 if you had the vector c(1, 2, 3). Then, you can use this fractional value in any subsequent calculations. The fractions () function in R makes it simple and practical to convert numeric vectors to fractional numbers.

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The probability that they can be arranged into a group of three consecutive cards, all of the same suit, is 0.002.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event will not occur and 1 indicating that the event will definitely occur.

If 3 cards are chosen at random from a standard 52-card deck, then the total number of possible outcomes is:

52C3 = 22100

For a single suit, there are 11 possible ways for three cards to be consecutive cards. So, the total number of desired outcomes is:

11 x 4 = 44

Solve for the probability.

p = 44 / 22,100 = 0.002

Therefore, the probability is 0.002.

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