Graph the linear system and tell how many solutions it has. If there is exactly one solution, estimate the solution and check it algebraically.

Answer:

No, because for each input there is not exactly one output

Step-by-step explanation:

Each input, x-coordinate, must have one and only one output (y-coordinate) to be a function.

Since 3/4 is used as an x-coordinate twice, the input 3/4 has two different outputs, -2 and -1/2. That means this relation is not a function.

Answer: No, because for each input there is not exactly one output

Answer: is A

Step-by-step explanation:

If the experiment is repeated 140 times, the number of times both spins will be odd numbers, 35.

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

The theoretical probability of both spins being odd numbers is 9/36.

This means that, if the spinner was spun an infinite number of times, 9 out of every 36 spins would result in both spins being odd numbers.

In the repeated experiment, Ryan spun the spinner 140 times.

This means that, based on the theoretical probability, we can expect the number of times both spins will be odd numbers to be approximately

= 140 x 9/36

= 35

The answer is 35, with the expectation that the actual number of times both spins will be odd numbers in 140 trials may not be exactly 35.

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Answer:

Step-by-step explanation:

The coefficient of variation (CV) is a measure of the relative variability of a set of data. It is calculated as the ratio of the standard deviation to the mean, expressed as a percentage. The formula for calculating the CV is as follows:

CV = (Standard Deviation / Mean) * 100%

Here's how to calculate the CV step by step:

Calculate the mean: To find the mean, add up all the data points and divide by the number of data points. This will give you the average value of the data set.

Calculate the standard deviation: The standard deviation is a measure of the variability of a set of data. To calculate it, subtract each data point from the mean and square the result. Then add up the squared deviations and divide by the number of data points minus one. Finally, take the square root of the result to obtain the standard deviation.

Calculate the CV: Finally, divide the standard deviation by the mean and multiply by 100% to obtain the CV.

The CV is a useful measure when comparing data sets with different units of measurement or when comparing the variability of data sets with different means. It gives an indication of the degree of variation in the data set relative to the mean, with higher CV values indicating a higher degree of variability.

It is important to note that the CV should not be used to compare data sets with very different means, as it can be misleading in such cases. In those cases, it is better to use the standard deviation or other measures of variability.

The solution is, : d) 255 ≤ f(x) ≤ 340.

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

The function

f(x)= 8.5x

represents the amount of money that Steve earns given the number of hours, x, he works.

The dependent variable is the total amount that he earns, f(x) while the independent variable is the number if hours, x that he works. The range is the possible values of the dependent variable that satisfies the equation.

Steve works between 30 and 40 hours per week.

This means that the lowest amount that he earns is 8.5×30 = $255

The highest amount that he earns is 8.5× 40 = 340.

Therefore, the range is

255 ≤ f(x) ≤ 340

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For the given figure, the surface area of box is 436.95m².

A plane shape, as opposed to a square, with four straight sides and four right angles, particularly one with uneven neighbouring sides.

The measurement of three-dimensional solids' surfaces the surfaces of three-dimensional solids, such as cubes, spheres, prisms, and pyramids, in

square or meter units, is known as Surface area.

Surface area of Square = side²

Surface area of Rectangle = Length x Breadth

Surface area of triangle = 1/2 × Base x Height

So,

Surface area of Square=

= 10² = 100m²

Surface area of Rectangle 1 =

= 11 x 9 = 99m²

Surface area of Rectangle 2 =

11 x 13.45 = 147.95m²

Surface area of Triangle =

= 1/2 x 10 x 9 = 45m²

So, Surface area of box = Surface area of Square + Surface area of

Rectangle 1+ Surface area of Rectangle 2 + Surface area of Triangle + Surface area of Triangle

= 100 + 99 + 147.95 + 45+  45

= 436.95m²

Therefore, Surface area of the box is 436.95m².

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Answer:

36in

Step-by-step explanation:

1ft = 12in

8ft = 96in 3ft = 36in

96*2 + 36*2 = 192 + 72 =264in

300-264=36

Answer:

We can use the Pythagorean theorem to solve this problem. Let's call the length of the incline plane "L". We know that the height of the shelving unit is 7 ft and the base of the incline plane is 11 ft. The hypotenuse of the right triangle formed by the incline plane, the floor, and the shelving unit will be the length of the incline plane. Using the Pythagorean theorem:

L^2 = 11^2 + 7^2

L^2 = 121 + 49

L^2 = 170

L = sqrt(170)

So the length of the incline plane is approximately 13.04 feet.

The area covered by paper flowers is; 45 square feet.

The formula for area of a rectangle is;

Area = Length * width

Parameters of the parade float are;

Length = 9 + x + 12 = (x + 21) ft

Width = (x + 5) ft

Since entire area is 192 sq.ft, then;

(x + 5)(x + 21) = 192

x² + 5x + 21x + 105 = 192

x² + 26x - 87 = 0

Using online quadratic equation calculator gives;

x = 3

Thus;

Length of paper flower = x + 12 = 3 + 12 = 15 ft

Width of paper flower = 3 ft

Area of paper flowers = 15 * 3 = 45 square feet.

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As a result of answering the question, we may state that triangle  Because of this, AB is longer than 33. But since we don't know the precise angle at B, we can't be positive of its length.

Since a triangle has four or so more sections, it is a polygon. It has an easy rectangular form. Triangle ABC refers to a rectangle with edges A, B, and C. A single plane and cube are produced by Euclidean geometry when the sides are really not collinear. A triangle is a polygon if it has 3 components and three angles. Where a triangle's three edges come together are known as the corners. A triangle's sides add up to 180 degrees.

A+B plus D > A (1)

Applying this to triangle ADC, we get the following:

A + C > A (2)

AC equals 27, CD equals 9, and BD equals 3. Equation (2) may be used to determine AD:

[tex]A + C > A\\27 + 9 > AD\\36 > AD[/tex]

So, we are aware that AD is lower than 36. We may now find AB using equation (1):

[tex]A+B plus D > A\\AB + 3 > AD\\AB + 3 > 36\\AB > 33[/tex]

Because of this, AB is longer than 33. But since we don't know the precise angle at B, we can't be positive of its length.

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Answer:

2.2325 seconds

Step-by-step explanation:

We know

It takes 8.93 seconds for a train to travel 4 yards.

How far does it take the train to travel 1 yard?

We take

8.93 divided by 4 = 2.2325 seconds

So, it takes the train 2.2325 seconds to travel 1 yard.

Answer:

to find x;

cross multiply

x=5tan47°

x=5×(1.07236871002)

x=(5.36184355012)

to the nearest tenth

x=5.4

The dimensions of the rectangular garden are 8.5 meters and 7.5 meters.

Perimeter of a straight sided figures or objects is the total length of it's boundary.

The diagram is given below.

Given,

Perimeter of a rectangle = 2 (l + w), where l is the length and width.

Length of the rectangle = 4 + 3x

Width of rectangle = x + 6

Perimeter = 32 meters

Substituting,

2 (l + w) = 32

2(4 + 3x + x + 6) = 32

2(4x + 10) = 32

4x + 10 = 16

4x = 6

x = 6 / 4 = 3/2 = 1.5

Length = 4 + 3x = 8.5 meters

Width = x + 6 = 7.5 meters

Hence the length and width of the rectangle are 8.5 meters and 7.5 meters respectively.

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The interior painting cost is calculated according to the cost of the paint and the area that to be painted.

Determine where there are carpets in your house. Increase this by four times. For example, multiply 500 square feet of carpet by four to get 20000 square feet. Find out the current rate per square foot that your painter charges. For instance, depending on the scenario, painters may charge anywhere between Rs 26 and Rs 30 per square foot. Consequently, your expense would be 27 x 2000, or Rs 54,000. This figure is on the high side. After taking measurements, the painter would provide you with a final statement outlining the specific amount of work performed. This is how interior painting cost is calculated.

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Answer:

77

Step-by-step explanation:

here, you're multiplying 7 by the "sum of 6 and 5", which just means to add 6 and 5

so, you're multiplying 7 by 11

7*11=77

The difference between percent error and percent difference is that percent error is used to measure the accuracy of a predicted value compared to the actual value, while percent difference is used to compare two values to determine how much they differ from each other.

Percent error is calculated using the formula:
Percent error = (|actual value - predicted value| / actual value) x 100

Percent difference is calculated using the formula:
Percent difference = (|value 1 - value 2| / ((value 1 + value 2)/2)) x 100

In summary, percent error is used to measure the accuracy of a prediction or measurement, while percent difference is used to compare two values and determine how much they differ from each other.

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The amount of time it would take for Mr. Smith's rocket to return to the ground is 8 seconds.

Based on the information provided, we can logically deduce that the height (h) in meters, of this rocket above the​ ground is related to time by the following quadratic function:

h(t) = -16t² + 128t

Generally speaking, the height of this rocket would be equal to zero (0) when it hits the ground. Therefore, we would equate the height function to zero (0) as follows:

0 = -16t² + 128t

16t² = 128t

16t = 128

Time, t = 128/16

Time, t = 8 seconds.

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a) For a single roll of a standard six-sided dice, there are 6 possible outcomes.

b) Sample points for rolling a dice twice are:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

a) If we want to find the number of sample points for multiple rolls of a dice, we use the counting rule for multiple-step experiments, which states that if an experiment consists of k steps and there are n1 possible outcomes for the first step, n2 possible outcomes for the second step, and so on, then the total number of possible outcomes for the experiment is:

n1 x n2 x ... x nk

For example, if we roll a dice twice, then there are 6 possible outcomes for the first roll and 6 possible outcomes for the second roll. Therefore, the total number of possible outcomes for rolling a dice twice is:

6 x 6 = 36

b) Here are the sample points for a single roll of a standard six-sided dice:

1, 2, 3, 4, 5, 6

Here are the sample points for rolling a dice twice:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

Each sample point consists of two values, representing the outcomes of the first and second rolls, respectively. The sample points are written in parentheses and separated by commas.

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Answer:

Step-by-step explanation:

$220.00x .15 = $187.00

The triangle is an isosceles right-angle triangle. Then the hypotenuse of the triangle will be 3 units.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The measure of one angle of right-angle is 45°. Then the right triangle is an isosceles right-angle triangle.

Then the hypotenuse is given by the sine of angle 45°. Then the equation is given as,

sin 45° = 3√2 / H

1/√2 = 3√2 / H

H = 3√2 x (1 / √2)

H = 3 units

The triangle is an isosceles right-angle triangle. Then the hypotenuse of the triangle will be 3 units.

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The probability that the Yankees scored fewer than 5 runs is 0.805.

It is the chance of an event occurring from a total number of outcomes.

The formula for probability is:

Probability = Number of required events / Total number of outcomes.

We have,

We will use conditional probability.

P(A/B) = P(A∩B) / P(B)

The probability that the Yankees won a game.
= 0.59

This means,

The probability that the Yankees lost a game.
P(A) = 1 - 0.59 = 0.41

The probability that the Yankees scored 5 or more runs.

= 0.45

P(B) = The probability that the Yankees scored fewer than 5 runs.

So,

The probability that the Yankees lose and score fewer than 5 runs.

P(A ∩ B) = 0.33

Now,

The probability that the Yankees scored fewer than 5 runs.

P(B/A) =P(A∩B) / P(A)

So,

= 0.33 / 0.41

= 0.8048

= 0.805

Thus,

The probability that the Yankees scored fewer than 5 runs is 0.805.

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Answer:

150-200

Step-by-step explanation:

The answer is D ( 1/3 cup dish soap)

Answer: D

explanation: i'm not good at explaining stuff

Answer: The product of 7 and 2/21 is equal to 2/3.

Step-by-step explanation:

To multiply 7 by 2/21, we can first simplify 2/21 to its lowest terms by finding the greatest common factor of 2 and 21, which is 1. Then we can multiply 7 by 2 and divide the result by 21:

7 x 2/21 = (7 x 2) / 21 = 14 / 21

The fraction 14/21 can also be simplified to its lowest terms by dividing both the numerator and denominator by the greatest common factor, which is 7:

14/21 = (2 x 7)/(3 x 7) = 2/3

The value of w is given by the proportion w = 8.333

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

14 / w = 8.4 / 5

Multiply by w on both sides of the equation , we get

w ( 8.4 / 5 ) = 14

Multiply by 5 on both sides of the equation , we get

8.4w = 70

Divide by 8.4 on both sides of the equation , we get

w = 70 / 8.4

w = 8.333

Hence , the equation is w = 8.333

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Answer:

If 5 centimeters on the map represent 75 kilometers in the real world, then we can use proportion to find the actual distance between the two lakes.

Let x be the actual distance between the two lakes in kilometers. Then we can set up the following proportion:

5 cm / 75 km = 8.1 cm / x km

To solve for x, we can cross-multiply:

5 cm * x km = 75 km * 8.1 cm

Simplifying:

5x = 607.5

x = 121.5 km

Therefore, the actual distance between the two lakes is 121.5 kilometers.

After the third year, the amount in his account would be -

A{3} = $(125x/64).

Interest is calculated as a percent of the principal.

Given is that Ling's savings account increases by {1/4}% every month from interest. He deposits {x} dollars into his account.

After the first year, the amount in his account would be -

A{1} = x + x/4 = (5x/4)

A{1} = $(5x/4)                                                ... Eq { 1 }

After the second year, the amount in his account would be -

A{2} = (5x/4) + (1/4)% of (5x/4)

A{2} = 5x/4 + 5x/16

A{2} = (1/4)(5x + 5x/4)

A{2} = (1/4)(25x/4)

A{2} = $(25x/16)                                         ... Eq { 2 }

After the third year, the amount in his account would be -

A{3} = (25x/16) + (1/4) of (25x/16)

A{3} = (25x/16) + (25x/64)

A{3} = (1/16)(25x + 25x/4)

A{3} = (1/16)(125x/4)

A{3} = $(125x/64)                                 ... Eq { 3 }

Therefore, after the third year, the amount in his account would be -

A{3} = $(125x/64).

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The correct statement regarding the functions in this problem is given as follows:

4. the absolute value and square root function share an x-intercept

The x-intercept of a function is given by the value of x at which the graph of the function crosses the x-axis, that is, when x = 0.

Both the square root function (yellow) and the absolute value function (red) cross the x-axis, hence the correct option is given by option 4.

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none of them

c cc c c c c c c c c c c c c c c c c

The lateral surface area of the triangular prism shown below is C.170 cm².

The concept that will be used here is triangular prism breakdown and calculation.

We can break down the triangular prism  so as to make it simpler as :

We have (2 triangles) as well as ( 2 side rectangles) and (1 back rectangle)

We can calculate the area of triangle  as ( ¹/₂ * base * height)

= (¹/₂ * 5 * 4)

=10cm

We can calculate the area of rectangle as ( length * width)

=(10 * 5)

=50

Then the Area of trapezoid = 2(10) + 3(50)

=20 + 150

= 170 cm²

Therefore, option C is correct.

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