Vince is saving for a new mobile phone. The least expensive model Vince likes costs $225.90. Vince has saved $122.35. He used this solution to determine how much more he needs to save.

225.90 less-than-or-equal-to 122.35 + a. 225.90 minus 122.35 less-than-or-equal-to 122.35 minus 122.35 + a. 103.55 less-than-or-equal-to a.

Vince says that based on the solution, he should save a maximum of $103.55.

Is Vince correct?
Vince is correct because he found the correct solution to the inequality.
Vince is correct because he should save at least $103.55.
Vince is not correct because he wrote the wrong inequality to represent the situation.
Vince is not correct because he should have interpreted the solution as having to save a minimum of $103.55.

From the figure 1. Two line segments are LA and EP. 2. Two rays are EC and AH. 3. Two lines are b and AP.

A ray is a segment of a line with a single endpoint and unlimited length in a single direction. A ray cannot be measured in terms of length.

The ends of a line segment are two. These endpoints are included, along with every point on the line that connects them. A segment's length can be measured, while a line's length cannot.

A line is a collection of points that extends in two opposing directions and is endlessly long and thin.

From the given figure we observe that,

1. Two line segments are LA and EP.

2. Two rays are EC and AH.

3. Two lines are b and AP.

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Answer:

(15+x)÷4 = 80-x

by criss cross we'll get:

15+x = 4(80-x)

15+x = 320-4x

x+4x=320-15

5x = 305

x = 61

The graph's function limit at x=4 is 6.

In mathematics, the limit of a function is the value that the function approaches as the input approaches a certain value or as the input approaches infinity or negative infinity. A function may or may not have a limit at a given point or as the input goes to infinity or negative infinity.

The formal definition of the limit of a function f(x) as x approaches a value a is as follows:

For every positive number ε (epsilon), there exists a corresponding positive number δ (delta) such that if 0 < |x-a| < δ, then |f(x)-L| < ε.

Limit f(x) at x tend to 4⁺ =6.

Limit f(x) at x tend to 4⁻ =6

Hence, the graph's function limit at x=4 is 6.

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By shifting the appropriate numbers to the appropriate locations, the equations become true with [tex]f(-6) = 5, f(x) = 3[/tex] , and  [tex]x = -5,[/tex] and  [tex]f(7) = 8[/tex] .

An equation is a claim that two expressions are equivalent in mathematics. Usually, it has one or more factors, which stand in for the unknowable elements we're trying to figure out how to calculate.

Equations can be used to depict actual-world circumstances or to explain relationships between various mathematical things.

For instance, the equation  [tex]"x + 3 = 7"[/tex] indicates that the total of the constant "3" and the variable "x" equals 7. By taking 3 out of both parts of the equation, we can find "x" and get [tex]"x = 4"[/tex] as a result.

Given

To make the equations true, move the right values to the right places in the table below:

[tex]f(-6) = 5[/tex]

[tex]f(x) = 3; x = -5[/tex]

[tex]f(7) = 8[/tex]

By shifting the appropriate numbers to the appropriate locations, the equations become true with  [tex]f(-6) = 5, f(x) = 3,[/tex] and [tex]x = -5[/tex] , and [tex]f(7) = 8[/tex] .

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The complete question is :- Use the table below to drag the correct numbers to their appropriate spots to make the equations true:

(Fill in the blank)

X                                      f(x)

-6                                     8

7                                        3

4                                      -5

3                                      -2

-5                                     12

Consequently, the person's weight is roughly 26.5 pounds of fat (rounded to the nearest tenth).

By determining the value of a single unit or quantity and then scaling that value up or down to determine the value of another quantity, the unitary method is a mathematical strategy used to solve problems. According to the unitary method's guiding concept, if one quantity or unit has a certain value, then a predetermined number of those same quantities or units will have a proportionate value. For instance, 5 apples would cost $5 if 1 fruit cost $1.

given

We can use the person's weight and body fat proportion to determine how many pounds of body fat they have. We can commence by calculating the decimal weight of the body fat:

weight of body fat Equals body fat percentage * weight

= 0.163% * 163 lbs.

= 26.509 lbs.

Consequently, the person's weight is roughly 26.5 pounds of fat (rounded to the nearest tenth).

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a. The number of shares purchased can be calculated as:

Number of Shares = (Investment Amount / Face Value)

= 25,059/ 10 = 2,505.9 = 2,506 (to the nearest whole number)

b. The amount of brokerage paid can be calculated as:

Brokerage = (Investment Amount x Brokerage Rate)

= 2,50,590 x 0.002 = Rs. 501.18

c. The GST paid for the trading can be calculated as:

GST = (Brokerage Amount x GST Rate)

= 501.18 x 0.18 = Rs. 90.22

Functions of these are algebraic expression (f+g)(x) = x² + x-2 and             (f-g)(x) = x² + 5x - 14.  

In mathematics, a functiοn is a rule οr mapping that assοciates each element x in a set (called the dοmain) with a unique element f(x) in anοther set (called the range οr cοdοmain).Fοr example  functiοn f(x) = x² + 3x - 8.

An algebraic expressiοn is a cοntains οf variables, cοnstants, and mathematical οperatiοns such as additiοn, subtractiοn, multiplicatiοn, divisiοn, and expοnentiatiοn. It cantains  parentheses and οther grοuping symbοls tο indicate the οrder in which the οperatiοns shοuld be perfοrmed.

In the given question ,

To find (f+g)(x),

we simply add the two functions f(x) and g(x) term by term:

(f+g)(x) = f(x) + g(x)

= (x² + 3x - 8) + (-2x + 6)

= x²  + (3x - 2x) + (-8 + 6)

= x² + x - 2  

Therefore, (f+g)(x) = x² + x - 2.

To find (f-g)(x), we subtract g(x) from f(x) term by term:

(f-g)(x) = f(x) - g(x)

= (x²  + 3x - 8) - (-2x + 6)

= x²  + (3x + 2x) + (-8 - 6)

= x²  + 5x - 14  

Therefore, (f-g)(x) = x²  + 5x - 14.

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The intersection of two parallel lines; x = 10 metres.

Alternate angles are created when two parallel lines are intersected by a transversal. Have a look at the given illustration; the two parallel lines are EF and GH. When a transversal splits two parallel lines, the alternate angles are equal.

The alternate interior angles are equal because of the parallel lines characteristic.

Angle STQ (denoted as 2x+10) and angle RQS are hence equal. Angle QRP (shown as x+20) and angle RQS are likewise equal.

Setting these two angles equal to each other, we can get:

x+20 = 2x+10

Simplifying this equation, we get:

x = 10.

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Answer: yes 2/1 is more than one

Step-by-step explanation: 2/1 is equivalent to 2 while 1 is just 1

Answer:

No! 2/1 is less then 1 because when devided, your answer will be -2 which is less then 1.

The sine function with the desired features is given as follows:

F(x) = sin(3.5π(x + π/2)) + 1.

The standard definition of the sine function is given as follows:

y = Asin(B(x - C)) + D.

For which the parameters are listed as follows:

The function has an amplitude of 1, hence the parameter A is given as follows:

A = 1.

The period is of 4/7, hence the coefficient B is given as follows:

2π/B = 4/7

4B = 14π

B = 3.5π.

The function contains the point (-π, 2), hence the phase shift and the vertical shift are given as follows:

Hence the function is:

F(x) = sin(3.5π(x + π/2)) + 1.

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The product of the number 3/4 and 8 1/2 is 51/8.

A mixed number is one that has a fraction and a whole number, separated by a space. An example of a mixed number is 8 1/2. Contrarily, an improper fraction is one in which the numerator exceeds or is equal to the denominator. For instance, 17/2 is a bad fraction. An improper fraction is a fraction in which the numerator is more than or equal to the denominator, as opposed to a mixed number, which combines a whole number with a proper fraction.

The given numbers are 3/4 and 8 1/2.

Convert the mixed number to an improper fraction:

8 1/2 = (8 x 2 + 1) / 2 = 17/2

Then, we can multiply the fractions:

3/4 x 17/2 = (3 x 17) / (4 x 2) = 51/8

Hence, the product of 3/4 and 8 1/2 is 51/8.

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Answer:

The correct answer is (b+2)

Step-by-step explanation:

(3b-7) + (-2b+9)

3b-7-2b+9

3b-2b+9-7

b+2 Ans

Answer:

b+2 is the answer of this expression.

Step-by-step explanation:

(3b-7) and (-2b+9)

3b+(-2b) + (-7+9)

(3b-2b) + 2

b+2

The probability of P(B U E) is 0.5984, the probability of the complement of G (i.e. Gᶜ) is 0.6818, and the probability of C given F is 0.4706

To find the probability P(B U E), we need to add the frequencies in column B and row E, but since the cell where they intersect has already been counted in both, we need to subtract it once. Therefore:

P(B U E) = (6+13+17) + (15+20+10+45) - 43 = 73

Then we divide by the total number of observations:

P(B U E) = 73/122 = 0.5984 (rounded to four decimal places)

To find the probability of the complement of G (i.e. Gᶜ), we need to subtract the frequency in the cell where G and Total intersect from the total number of observations:

P(Gᶜ) = 1 - 39/122 = 0.6818 (rounded to four decimal places)

To find the probability of C given F, we need to divide the frequency in the cell where C and F intersect by the total frequency in the row where F is located:

P(C|F) = 24/51 = 0.4706 (rounded to four decimal places)

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Complete question is attached below

The standard normal area is the region under the standard normal distribution curve, which has a mean of 0 and a standard deviation of 1. One is equal to the entire area under the normal distribution curve.

To determine the probability for the above intervals using a typical normal distribution table or a calculator with a normal distribution function:

[tex]P(1.22 < Z < 2.15) = 0.1143[/tex]

[tex]P(2.00 < Z < 3.00) = 0.0228[/tex]

[tex]P(-2.00 < Z < 2.00) = P(Z < 2.00) - P(Z < -2.00) = 0.9772 - 0.0228 = 0.9544[/tex]

The number of standard deviations the variable is from the mean is shown by the ensuing Z-score. The chance of detecting a certain value of the variable in a given interval can then be determined using the standard normal area.

Therefore, The symmetry of the normal distribution allows us to use the third interval's coverage of 4 standard deviations to simplify the calculation, as illustrated above.

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The answers are a)the sample mean, which is $1,235. b) margin of error = $58.50. c)95% .d)the average monthly rent is at least $1,300.e)The z-score for a 92% confidence interval is 1.75.

a) The sample mean is the point estimate of the true mean monthly rent for one-bedroom apartments available for rent near BCIT, which is $1,235.

(b) At a 95% confidence level, the margin of error on the true mean monthly rent estimate is calculated as follows:

Margin of error = Z * (standard deviation / square root of sample size), where Z is the desired confidence level's z-score, which is 1.96 for a 95% confidence level.

Thus, the margin of error is equal to 1.96 * (150 / sqrt(36)) = $58.50.

(c) The 95% confidence interval for the true mean monthly rent is calculated as follows:

Lower value = point estimate minus margin of error = $1,235 minus $58.50 equals $1,176.50

Upper estimate + margin of error = $1,235 + $58.50 = $1,293.50.

(d) To see if the confidence interval supports the friend's claim that the average monthly rent for a one-bedroom apartment available for rent near BCIT is at least $1,300, we need to see if the lower limit of the confidence interval is greater than or equal to $1,300.

Given that the confidence interval is $1,176.50 $1,300, we can conclude that the confidence interval does not support the friend's claim that the

average monthly rent is at least $1,300. As a result, the answer is "No."

(e) A standard normal distribution table or calculator can be used to calculate the z-score corresponding to a 92% confidence interval.

A 92% confidence interval has a z-score of 1.75. (to two decimal places).

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The width of the top of the bookcase should be approximately 12.2 inches to give Bria's soap carving collection an area of 300 square inches.

Simply multiply the length and width measurements to get the area of your square or rectangular area in square inches.

Assume the bookcase's top is rectangular, with length "L" and width "b". Because the area of a rectangle is the product of its length and width, we get:

L * b = 300

To find "b," we can rearrange the equation as follows:

b = 300 / L

We don't have enough information to directly solve for "L," but we can make an educated guess based on the figure provided. Based on the illustration, the bookcase appears to be roughly twice as long as it is wide. So let us suppose:

L ≈ 2b

When we plug this into the equation above, we get:

b = 300 / (2b) (2b)

To simplify, we have:

b^2 = 150

When we take the square root of both sides, we get:

b ≈ 12.2

We have, rounded to the nearest tenth of an inch:

b ≈ 12.2 inches

As a result, the width of the top of the bookcase should be approximately 12.2 inches in order to give Bria's soap carving collection a 300-square-inch area.

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Every real root of a polynomial with rational coefficients is also a root of a polynomial with integer coefficients.

Suppose that c is a root of the polynomial equation:

[tex]q_n[/tex] × [tex]x^n[/tex] + q_{n-1} × [tex]x^{n-1}[/tex] + ... + q1 × x + q0 = 0

where [tex]q_i[/tex] are rational coefficients. Since c is a root of this polynomial equation, we have:

[tex]q_n[/tex] × [tex]c^n[/tex] + [tex]q_{n-1}[/tex] × [tex]c^{n-1}[/tex] + ... + q1 × c + q0 = 0

Multiplying both sides of the equation by the common denominator of the coefficients [tex]q_i[/tex], we can obtain an equation with integer coefficients. Let d be the least common multiple of the denominators of the coefficients [tex]q_i[/tex]. Then we can write:

d × ([tex]q_n[/tex] × [tex]c^n[/tex] + [tex]q_{n-1}[/tex] × [tex]c^{n-1}[/tex] + ... + q1 × c + q0) = 0

Expanding the left-hand side of the equation, we obtain a polynomial with integer coefficients:

d × [tex]q_n[/tex] × [tex]x^n[/tex] + d × [tex]q_{n-1}[/tex] × [tex]x^{n-1}[/tex] + ... + d × q1 × x + d × q0 = 0

Since c is a root of the original polynomial equation, it is also a root of this polynomial with integer coefficients. Therefore, we have shown that if c is a root of a polynomial with rational coefficients, then it is also a root of a polynomial with integer coefficients.

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The expected value of a total of all 10 cards is 65.38 when the five players are dealt with 2 cards each without replacement.

The expected value of the sum of all 10 cards dealt without replacement can be calculated by multiplying the expected value of a single card by 10.

The expected value of a single card can be calculated by adding up all possible outcomes (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K) and dividing by the total number of cards in a deck (52).

= 52/13

This gives us an expected value of 6.5381.

Therefore, the expected value of the sum of all 10 cards is 65.38

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Complete question is:

Five players are each dealt 2 cards without replacement.

What is the expected value of the sum of all 10 cards?

Answer:

Integral

Step-by-step explanation:

explain integral calculus

The resultant force is equal to F1, which is {-300i + 170j + 190k}N, and the couple moment acting at point 0 is  (-0.19i - 0.34j + 0.15k) N.m.

To determine the resultant force acting at point O, we can add all the forces acting at point O. In this case, we have only one force F1 = {-300i + 170j + 190k}N. Therefore, the resultant force acting at point O is F1 itself.

To determine the couple moment acting at point O, we can use the formula:

M = r x F

where r is the position vector from point O to any point on the line of action of force F.

Since we don’t know the position vector r, we can choose any arbitrary point on the line of action of force F. Let’s say we choose point A which lies on the line of action of force F and is perpendicular to it.

Therefore, r = OA where OA is the position vector from point O to point A. We can find OA by subtracting position vectors of points O and A i.e., OA = A - O.

Now, let’s calculate M using M = r x F.

M = (OA) x F1

M = (A - O) x {-300i + 170j + 190k}N M

= (-0.19i - 0.34j + 0.15k) N.m

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Complete question is:

Replace the loading system by an equivalent resultant force and couple moment acting at point o. Assume F1 = {-300i + 170j + 190k}N

Part A Determine the resultant force. Enter the 2, y and a components of the resultant force separated by commas.

Part B Determine the couple moment acting at point 0. Enter the x, y and 2 components of the couple moment separated by commas.

Answer:

We can use the Law of Cosines to find the length of side AC:

cos(A) = (b² + c² - a²) / 2bc

cos(A) = (85² + 530² - 850²) / (2 × 85 × 530)

cos(A) = -0.3589 (using a calculator)

Since the cosine of an angle is negative in the second quadrant, we have:

A = 180° - cos⁻¹(-0.3589)

A = 114.49°

Now we can use the Law of Cosines again to find the length of AC:

a² = b² + c² - 2bc cos(A)

AC² = 85² + 530² - 2 × 85 × 530 cos(114.49°)

AC ≈ 99.6

Therefore, the length of AC is approximately 99.6. Answer: (B)

The resulting three-dimensional figure is a cone with base radius of 17 inches.

A cone is a three-dimensional geometric shape that has a circular base and a curved surface that tapers to a point, called the apex. The base of the cone is a circle, and the height of the cone is the perpendicular distance from the apex to the center of the base. The surface of the cone is made up of all the points that are equidistant from the apex and lie on the base.

Consider an isosceles triangle with 82 inches of circumference and a leg length of 24 inches.

This means that 82 - 2(24) = 82 - 48 = 34 inches is the length of the other side.

The triangle is rotated along a line that passes through points B and D, with point D serving as the intersection of lines AC.

When this happens, a cone will be created in three dimensions with a base radius equal to the length of line AD (i.e. half of the length of line AC being the other side of the isosceles triangle).

The resulting cone's base radius is 1/2 (34) = 17 inches.

Hence, the resulting three-dimensional figure is a cone with base radius of 17 inches.

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Answer:

What is the Value of Tan 270 Degrees? The value of tan 270 degrees is undefined. Tan 270 degrees can also be expressed using the equivalent of the given angle (270 degrees) in radians (4.71238 . . .) ⇒ 270 degrees = 270° × (π/180°) rad = 3π/2 or 4.7123 . . .

please marke a a brainalist pls

The square root of 138 lies between 11 and 12, as 11²=121 and 12²=144.

Number is a mathematical object used to count, measure, and label. Numbers are used in almost every field of mathematics and science, including algebra, calculus, geometry, physics, and computer science. Numbers can also be used to represent data, such as population, income, temperature, or time. In addition, numbers are used to represent abstract concepts, such as love, truth, beauty, and justice.

This is because the square root of a number is the number that, when multiplied by itself, produces the original number. Therefore, to find the square root of 138, we need to identify two consecutive integers such that one of them squared is smaller than 138 and the other squared is larger than 138.

To do this, we can work our way up from the integer closer to 0, in this case 11. 11 squared is 121, which is smaller than 138, so we know that the square root of 138 must be between 11 and a larger integer. Then, if we square 12, we get 144, which is larger than 138. Therefore, we can definitively say that the square root of 138 lies between 11 and 12.

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The square root of 138 lies between 11 and 12, as 11² is 121 and 12² is 144.

Number is a mathematical object used to count, measure, and label. Numbers are used in almost every field of mathematics and science, including algebra, calculus, geometry, physics, and computer science. Numbers can also be used to represent data, such as population, income, temperature, or time. In addition, numbers are used to represent abstract concepts, such as love, truth, beauty, and justice.

To calculate this, we can divide 138 by 11 and 12, and see which integer is closer to the answer.

138 divided by 11 is 12.545454545454545454545454545455.
138 divided by 12 is 11.5.

Since 11.5 is closer to the answer, the square root of 138 lies between 11 and 12.

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Answer:

D?

Step-by-step explanation:

I'm not completely sure, but there are 2 different 180 degree lines that y falls on. On one line (y+70=180) it is for sure 110 degrees

When measured on the other line it is (y+70+x=180) I'm not too familiar with this??

Answer:y=x-5

Step-by-step explanation:this is the answer for sure

Answer:

[tex]y=x-5[/tex]

Step-by-step explanation:

Notice for every X you do increase your Y by 1, this is the slope must be 1, to check you can use the slope equation with any two points

[tex]m= \frac{-4-(-3)}{1-(2)} =-1[/tex]
The lets use one point and the line equation:

[tex]y-yo=m(x-xo)[/tex]
[tex]y+4=-1(x-1)[/tex]

Solving for Y you can obtain

[tex]y=x-5[/tex]

You can input any X value and check the Y value to be sure, for example, for X=3 you can check Y=3-5=-2. In the table for X=3 the Y value is -2, so this checks.

The description of the ensembles would be: 1. Students who attend both recitals, 2. Students who attend one of the two recitals, 3. students who attend both recitals, 4.The difference between the set P and U, that is, 3 students.

To graph the information in a Venn diagram we must take into account the information in the statement. In this case we must place 6 students outside the circles because there are 6 who do not attend any activity.

So, there would be 34 remaining students, of which 20 go to the piano recital and 23 to the voice recital. So, we can establish that 20 go to both recitals, 3 go to the voice recital, and 1 go to the piano recital.

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As a result, AB = 52 and AC = BC = 5 as AC and BC are both the circle's radii since A and B are points of tangency .

A circle is a closed object made up of all points in a plane that are separated from the center by a predetermined distance, known as the radius. The diameter is the distance across the circle that passes through its center, while the circumference is the distance around the circle. The ratio of a circle's circumference to its diameter is always pi (), or roughly 3.14. Pi is also known as the proportionality constant. Circles are significant geometric forms that are used frequently in mathematics, science, and daily life.

given

AC and BC are both the circle's radii since A and B are points of tangency. Hence, AC = BC = 5.

We can apply the Pythagorean theorem to segment AB as follows:

[tex]AB^2 = 52 + 52 \\AB^2 = AC^2 + BC^2[/tex]

AB² = 50

AB = √50 = 5√2

As a result, AB = 52 and AC = BC = 5 as AC and BC are both the circle's radii since A and B are points of tangency .

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