A woman leaves home at 7 am and drives to New York City 200 miles away. If she averages 50 miles per hour, what time will she arrive at the city

The amount that Roxanne should deposit at the beginning of each 3 months to accumulate $134,000 at 4% compounded quarterly for three years is $10,461.13.

The quarterly deposit can be computed using an online finance calculator with the following parameters.

The quarterly deposit shows the periodic investment that must be made to accumulate a future value of $134,000.

N (# of periods) = 12 quarters (3 x 4)

I/Y (Interest per year) = 4%

PV (Present Value) = $0

FV (Future Value) = $134,000

Results:

PMT (periodic deposits) = $10,461.13

Sum of all periodic deposits = $125,533.56

Total Interest = $8,466.44

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x+y≥11 and 8x+4y=80 are system of inequalities and the number of tacos are two.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that Rahul and his children went into a restaurant that sells hamburgers for $8 each and

tacos for $4 each.

Rahul has $80 to spend and must buy at least 11 hamburgers and tacos altogether.

Let  x represents the number of hamburgers purchased and y represents the number of tacos purchased,

x+y≥11...(1)

8x+4y=80..(2)

8(11-y)+4y=80

88-8y+4y=80

88-4y=80

8=4y

y≥2

Hence, x+y≥11 and 8x+4y=80 are system of inequalities and the number of tacos are two.

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No. of many ounces are in each bag will be 1.75 ounces

Unlike the division of natural numbers, the division of decimals is fairly straightforward. To divide decimal numbers by various sorts of numbers, such as whole numbers, decimal numbers, fractions, the powers of ten, etc., we can employ a variety of techniques. You may find answers to division of decimals quizzes and more practise problems in this article.

Dividing decimals is equivalent to dividing whole numbers, except when doing so, we take into account the decimal point as the final answer. The following are many options for splitting decimals:

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Therefore , the solution of the given problem of domain is The range of f(x) is a subset of this range, which is the range of -3x-2 (-14,), after answering the given question.

A function's domain is the set of values that can be sent into it. This collection represents all x values in a function like f. (x). A function's range is the set of possible values that it can accept. This collection includes the values that the return statement when we enter an x value. Assume that x and y are indeed the independent and dependent variables of a function with the formula y = f(x). If a function f provides a way to generate a single value y successfully while using a value of x .

Here,

In this case, f(x)=-3x-2 x < 4

3/4x-1 x≥ 4

Domain

This range, which is the range of -3x-2 (-14,), is a subset of the range of f(x).

Therefore , the solution of the given problem is The range of f(x) is a subset of this range, which is the range of -3x-2 (-14,), after answering the given question.

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Answer:  The answer is SAS

The total displacement made by her to go from home to the school is given by the sum of the distances of P to Q, Q to R and then R to S.

The total displacement is obtained as the distance that she walks to go to the school from her home.

The check-points that she passes to go to the school are given as follows:

Hence the total displacement is given by the sum of each of these distances.

These distances are calculated using the formula for the distance between two points, given as follows:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In which [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the coordinates of each point.

The problem is incomplete, hence the answer is given in general terms.

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Answer:

There will be 5 roses.

Step-by-step explanation:

Let r = the number of roses.

Total cost =

numberof Roses × price per rose AND cost of vase

Total at Kingwood's

= 1r + 20

Total at Anita's

= 3r + 10

We are looking for r (the number of roses) when the totals at either place are the same.

Set them equal to each other.

1r + 20 = 3r + 10

Subtract 1r.

20 = 2r + 10

Subtract 10.

10 = 2r

Divide by 2.

10/2 = r

5 = r

When Elijah buys 5 roses, the cost is the same at either florist.

Check:

at Kingwood's

= 1r + 20

= 1(5) + 20

=25

At Anita's

= 3r + 10

= 3(5) + 10

= 15 + 10

= 25

5 roses costs $25 at either florist.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The perimeter and the area of the fountain is calculated to be

94.25 feet and 625.32 square feet respectively

The perimeter of the fountain consisting of two semicircles and a quarter circle is

= perimeter of semicircle * 2 + perimeter of circle * 1/4

= π d + 2 π r * 1/4

for semicircle, diameter, d = 20 ft

for circle, radius r, = 20 ft

substituting the values

= 20π + 2 * π * 20 * 1/4

= 20π + 10π

= 30π

= 94.25 feet

Area of the fountain

= area of semicircle * 2 + area of circle * 1/4

area of semicircle * 2 = area of circle of radius 10 ft

for semicircle, radius, r = 10 ft

for circle, radius r, = 20 ft

= π 10² + π 20² * 1/4

= 100π + 100π

= 200π

= 625.32 square feet

The area of the fountain is 625.32 square feet

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Answer: To determine which store has the cheaper steak, you need to compare the price per pound of steak at each store. To do this, divide the total price by the number of pounds of steak at each store.

At Store A, the price per pound of steak is $6.38 because 25.50 / 4 = <<25.50/4=6.375>>6.375.

At Store B, the price per pound of steak is $6.71 because 40.25 / 6 = <<40.25/6=6.708>>6.708.

Therefore, Store A is cheaper because it has a lower price per pound of steak. The correct answer is Store A.

Step-by-step explanation:

Answer: x = 4

Step-by-step explanation:

Based on the given distances and angle measures, DE is congruent to XY, DF is congruent to ZX, and EF and ZY are congruent.

This means that:

[tex](4x-1)=15[/tex]

Simplify and solve for x.

[tex]4x-1=15\\4x=16\\x=4[/tex]

So, x = 4

Answer:

Step-by-step explanation: 55

To prove the converse of the Pythagorean theorem, we can define a right triangle Δ DEF with sides a, b, and x.

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

ΔABC and ΔDEF

To prove the converse of the Pythagorean theorem, we can define a right triangle DEF with sides a, b, and x.

Thus,

ΔDEF is filled in the box.

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Answer:

------------------------------------

Number of marbles:

Total number:

Probability of getting a blue marble:

Since the second marble is selected with replacement, the probability of the second blue marble is same, so the probability of two blue marbles is:

[tex] \sf \: Probability _{(Blue)}=2/10×2/10 \\ \\ \sf Probability _{(Blue)}= \frac{1}{25} [/tex]

Answer:

90 minutes

Step-by-step explanation:

9 people = 40 minutes

4 people = 40/4=10

10 * 9= 90

therefore 4 people will finish the work in 90 minutes

The number of times 5×10³ greater than 15×10⁹ is 3×10⁶.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

Given that, 15×10⁹ and 5×10³.

Number of times 5×10³ greater than 15×10⁹ is

Now, 15×10⁹/5×10³

= 3×10⁶

Therefore, 3×10⁶ times 5×10³ greater than 15×10⁹.

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The line segment AB is d = [tex]\sqrt{106}[/tex] in  length if (-5, 4) and (B), and A = (-5 , 0) .  A line segment is hence a section or component of a line with two endpoints.

A line segment in geometry is bordered by two separate points on a line. A line segment has two fixed or distinct endpoints, whereas a line has no endpoints and can stretch in both directions indefinitely. A line segment is hence a section or component of a line with two endpoints. A line segment, unlike a line, has a set length. Measuring the length of a line segment can be done using either metric measurements, such as millimeters or centimeters, or conventional measurements, such as feet or inches.

given

d = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]

(5 )2 + ( 9 ) 2 = d

d = 25 + 81

d = [tex]\sqrt{106}[/tex]

The line segment AB is d = [tex]\sqrt{106}[/tex] in  length if (-5, 4) and (B), and A = (-5 , 0)

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Answer:

this is in the form of slope intercept. y = mx + b

m is the slope

and b is the y intercept

meaning that -2 is the y intercept

and 1/3 is the slope

(meaning on a graph you go up one, and over 3)

Step-by-step explanation:

Set of value that belong to the Domain are: Values of Independent, Variable, Input Values

Set of value that belong to the Range are: Output Values, Values of Dependent Variables.

Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

The collection of all potential inputs for a function is its domain. Think of this box as the f(x) = 2x function. The domain is only the collection of natural numbers when the input values are x = 1,2,3,4,..., and the values that are returned are referred to as the range.

The collection of all a function's outputs is its range. Example: Let's have a look at the function f: A->B, where f(x) = 2x and A and B each represent a "collection of natural numbers." The domain in this instance is A, and the co-domain is B. The range then appears as the function's output.

Domain :

Values of Independent Variable

Input Values

Range :

Output Value

Values of Dependent Variables.

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The scale factor of the dilation is 3

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

Line segment AB = 12 units

After the dilation = 36 units

The scale factor of the dilation is then calculated as

Scale factor of the dilation = After the dilation/Line segment AB

Substitute the known values in the above equation, so, we have the following representation

Scale factor of the dilation = 36/12

Evaluate

Scale factor of the dilation = 3

Hence, the scale factor is 3

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Therefore ,We can infer the following from the rule for when a relation represents a domain and range : 16) Is not a function. 18) Is not a function, while 17) Is one.

The domain of a function is the set of possible values that it can accept. The x-values of a function like f are represented by these numbers (x). A function's domain is the set of possible values on which it can be used. This set is the value that the function returns after the insertion of the x value. Y = f is the definition of a function with x as the independent variable and y as the dependent variable (x). A value of x is said to be in a function's domain if it can be successfully used to produce a single value of y by using the value of x.

Here,

we have that for this issue:

It is not a function in item 16 since input 5 is translated to outputs 2 and 4.

Item 17 is a function since each input is assigned to a single output.

It is not a function in item 18 since input -2 is mapped to outputs 13 and 15.

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The exponential expression is (√4×√2)².

Radical form is the expression that involves radical signs such as square root, cube root, etc instead of using exponents to describe the same entity.

The given number is √8.

Now, 8=(√4×√2)²

=(2×√2)²

= 4×2

= 8

Therefore, the exponential expression is (√4×√2)².

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"Your question is incomplete, probably the complete question/missing part is:"

Rewrite the exponential expression using factors of √8 so that the base of the equation is a product of two factors, with one factor being a perfect square.

Answer:

To graph an arithmetic sequence, you can start by plotting the first few terms of the sequence on the coordinate plane. The x-axis represents the term number, and the y-axis represents the value of the term.

In this case, we are given that the fourth term is 20 and the common difference is -1/5 times the first term. Let's say the first term is x. Then, the second term is x - (1/5)x = 4/5x, the third term is 4/5x - (1/5)x = 3/5x, and the fourth term is 3/5x - (1/5)x = 2/5x.

Therefore, the first four terms of the sequence are x, 4/5x, 3/5x, and 2/5x. If we plot these terms on the coordinate plane, we get the following graph:

(0, x)

(1, 4/5x)

(2, 3/5x)

(3, 2/5x)

This graph represents the first four terms of the arithmetic sequence. To find the fifth term, we can use the formula for the nth term of an arithmetic sequence: a_n = a_1 + (n - 1)d, where a_1 is the first term, d is the common difference, and n is the term number.

For this sequence, the fifth term is x + (-1/5)x = 4/5x. To find the sixth term, we can use the same formula: a_6 = x + (-1/5)x = 3/5x.

By continuing this process, we can plot the rest of the terms of the arithmetic sequence on the coordinate plane.

Step-by-step explanation:

The modifications and their effects on the ecosystem include:

With the construction of the Los Angeles aqueduct, water was transported to the west such that many desert regions there became lush urban areas and farmlands.

Large high ways and the damming of the Colorado River did not have such a good impact however, as they both led to runoff and to water bodies in the Owen valley drying up.

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The Complete statement are:

The properties of polynomial addition include closure, commutativity, and associativity.

These properties of polynomial addition make it easy to perform arithmetic operations with polynomials because they have predictable results and the order in which the polynomials are grouped or ordered does not change the final result.

Therefore, In simple terms, closure property ensures that the sum of two polynomials is also a polynomial, commutative property ensures that the order of the polynomials does not change the sum and the associative property ensures that the grouping of the polynomials does not change the sum.

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Answer:

Step-by-step explanation:

The length of y in the triangle is 18.55 units.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees. The side y of the triangle can be found using sine law.

Therefore,

a / sin A = b / sin B = c / sin C

Applying the sine law,

y / sin 106 = 15 / sin 51

cross multiply

y sin 51° = 15 sin 106°

divide both sides by sin 51°

y sin 51° / sin 51° = 15 sin 106° / sin 51°

y = 15 sin 106° / sin 51°

Therefore,

y = 15 × 0.96126169593 / 0.77714596145

y = 14.4189254391 / 0.77714596145

y = 18.5536589719

Hence,

y = 18.55 units

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Answer:

Slope: -1/2

Step-by-step explanation:

You can find the slope from this equation by adding 1/2 to each side of the equation since the way you find the slope of a line is by using: y = mx + b. The "m" must ALWAYS be on the right for it to be a valid slope equation, therefore, we have to use inverse operations for -1/2x to bring it to the right side.

Now, after we added 1/2x to each side, we get this equation:

-y = 1/2x + 3/4

We are not yet done since the y is accompanied by a negative 1, so, to isolate the variable, you use inverse operations once again and you get this equation:

y = -1/2x - 3/4

Therefore, the slope for this equation is -1/2.

Hope this helped! :D

On solving the provided question, we can say that - the value of the percentage = 1/10; 12/100

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

10%; 12%; 22% and 24%

1/10; 12/100; 11/50 and 6/25

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