Abdul was scuba diving 76 feet below the surface of the ocean. To get a closer look at a school of fish, he swam up 28 feet

answer is 2x+y=±8

hopes this helps u

Step-by-step explanation:

first find the value of X and y from above data then put that data for question

Answer:

Step-by-step explanation:

this picture has a blue circle with a line through it i dont know what to help you with if you could tell me the equation then i can help you but i cant if there is a blue circle in it.

Answer: -70

Step-by-step explanation:

The end of the 48-inch long treadmill is raised approximately 8.36 inches.

The incline of the treadmill is given as 10 degrees.

We can use trigonometry to calculate the height of the end of the treadmill.

The height (h) can be found using the formula h = l * sin(θ), where l is the length of the treadmill and θ is the angle of inclination.

Substitute the values into the formula:

h = 48 inches * sin(10 degrees)

Calculate the sine of 10 degrees using a calculator:

sin(10 degrees) ≈ 0.1736

Multiply the length of the treadmill by the sine of the angle:

h = 48 inches * 0.1736 ≈ 8.36 inches

The end of the 48-inch long treadmill is raised approximately 8.36 inches when set at an incline of 10 degrees.

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A. The solution to the congruence 3x - 107 ≡ 0 (mod 12) is x ≡ 1 (mod 12).

B. The solution to the congruence 5x + 3 - 102 ≡ 0 (mod 7) is x ≡ 6 (mod 7).

C. The solution to the congruence 66 + 9 ≡ 0 (mod 11) is x ≡ 4 (mod 11).

To solve modulo equations or congruences, we need to find values of x that satisfy the given congruence.

A. For the congruence 3x - 107 ≡ 0 (mod 12), we want to find an x such that when 107 is subtracted from 3x, the result is divisible by 12. Adding 107 to both sides of the congruence, we get 3x ≡ 107 (mod 12). By observing the remainders of 107 when divided by 12, we see that 107 ≡ 11 (mod 12). Therefore, we can rewrite the congruence as 3x ≡ 11 (mod 12). To solve for x, we need to find a number that, when multiplied by 3, gives a remainder of 11 when divided by 12. It turns out that x ≡ 1 (mod 12) satisfies this condition.

B. In the congruence 5x + 3 - 102 ≡ 0 (mod 7), we want to find an x such that when 102 is subtracted from 5x + 3, the result is divisible by 7. Subtracting 3 from both sides of the congruence, we get 5x ≡ 99 (mod 7). Simplifying further, 99 ≡ 1 (mod 7). Hence, the congruence becomes 5x ≡ 1 (mod 7). To find x, we need to find a number that, when multiplied by 5, gives a remainder of 1 when divided by 7. It can be seen that x ≡ 6 (mod 7) satisfies this condition.

C. The congruence 66 + 9 ≡ 0 (mod 11) states that we need to find a value of x for which 66 + 9 is divisible by 11. Evaluating 66 + 9, we find that 66 + 9 ≡ 3 (mod 11). Hence, x ≡ 4 (mod 11) satisfies the given congruence.

Modulo arithmetic or congruences involve working with remainders when dividing numbers. In a congruence of the form a ≡ b (mod m), it means that a and b have the same remainder when divided by m. To solve modulo equations, we manipulate the equation to isolate x and determine the values of x that satisfy the congruence. By observing the patterns in remainders and using properties of modular arithmetic, we can find solutions to these equations.

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Answer:

x= - 5

Step-by-step explanation:

x= - 5. it try You Tube

Answer:

x=50; 1 and 3 = 160°; 2 and 4 = 20°

Step-by-step explanation:

We know that:

m<1 = (3x+10);

m<2 = (x-30)

So:

(3x+10)+(3x+10)+(x-30)+(x-30) = 360°

---> x = 50

So:

1 and 3 = 160°; 2 and 4 = 20°

Answer:

8 inches

Step-by-step explanation:

Use Pythagorean theorem,

Base² + altitude² = hypotenuse²

15²+ altitude² = 17²

225 + altitude² = 289

           altitude² = 289 - 225 = 64

altitude = √64 = 8 in

Answer:

The altitude of triangle is 8 in.

Step-by-step explanation:

Solution :

Here, we have given that the two sides of triangle are 17 in and 15 in.

Finding the third side of triangle by pythagoras theorem formula :

\({\longrightarrow{\pmb{\sf{{(Base)}^{2} + {(Altitude)}^{2} = {(Hypotenuse)}^{2}}}}}\)

Substituting all the given values in the formula to find the third side of triangle :

\(\begin{gathered}\qquad{\longrightarrow{\sf{{(Base)}^{2} + {(Altitude)}^{2} = {(Hypotenuse)}^{2}}}}\\\\\quad{\longrightarrow{\sf{{(15)}^{2} + {(Altitude)}^{2} = {(17)}^{2}}}}\\\\\quad{\longrightarrow{\sf{{(15 \times 15)} + {(Altitude)}^{2} = {(17 \times 17)}}}}\\\\\quad{\longrightarrow{\sf{{(225)} + {(Altitude)}^{2} = {(289)}}}}\\\\\quad{\longrightarrow{\sf{{(Altitude)}^{2} = {(289)} - (225)}}}\\\\\quad{\longrightarrow{\sf{{(Altitude)}^{2} = 289 - 225}}}\\\\\quad{\longrightarrow{\sf{{(Altitude)}^{2} = 64}}}\\\\\quad{\longrightarrow{\sf{Altitude = \sqrt{64}}}}\\\\\quad{\longrightarrow{\sf{Altitude = 8 \: in}}}\\\\\quad{\star{\underline{\boxed{\sf{\red{Altitude = 8 \: in}}}}}}\end{gathered}\)

Hence, the altitude of triangle is 8 in.

\(\rule{300}{2.5}\)

Answer: 89

the 18th term is 4 + (18 - 1).5 = 4 + 17.5 = 89

Step-by-step explanation:

Answer:

89

Step-by-step explanation:

formula: Tn= a+(n-1)d

T89= 4+(18-1)*5

T89= 4+(17*5)

4+85

=89

hoped this helped:)

a) The mode of the list is 7

b) The median of the list is 7.

c) The mean is 5.4

d) The range is 7

What is the Mean, Mode and Median?

Mean: The mean is the average of a set of numbers, calculated by adding up all the numbers and dividing by the total number of numbers in the set.

Mode: The mode is the most frequently occurring number in a set of numbers.

Median: The median is the middle value in a set of numbers when the set is sorted in ascending or descending order.

a) Mode: The mode of the list is 7, as it is the number that occurs most frequently (3 times).

b) Median: To find the median, the list must first be sorted in ascending order:

1, 2, 3, 4, 5, 7, 7, 7, 8, 8

The median of the list is 7.

c) Mean: The mean is found by adding up all the numbers in the list and dividing by the total number of items:

(3 + 7 + 2 + 4 + 7 + 5 + 7 + 1 + 8 + 8)/10 = 54/10 = 5.4

d) Range: The range is the difference between the largest and smallest numbers in the list:

8 - 1 = 7

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Answer:

0.7488

Step-by-step explanation:

    0.24

×   3.12

_______

     0.48

    0.240

+   0.6200

________

     0.748 8

The smallest and largest possible values of ||v − w|| are 3 and 11, respectively. The smallest and largest values of v · w are 0 and 28, respectively.

The magnitude of a vector is a measure of its length or size. In mathematics, it is represented by two vertical bars surrounding the vector symbol, for example, ||v||.

In this case, we have two vectors, v and w, with magnitudes ||v|| = 7 and ||w|| = 4.

When the vectors v and w point in the same direction, the magnitude of their difference is at its minimum. In this case, ||v − w|| = ||v|| − ||w|| = 7 − 4 = 3.

On the other hand, when the vectors v and w point in opposite directions, the magnitude of their difference is at its maximum. In this case, ||v − w|| = ||v|| + ||w|| = 7 + 4 = 11.

Next, let's consider the dot product of v and w, also known as the scalar product. The dot product of two vectors is a scalar value that is proportional to the magnitudes of the vectors and the cosine of the angle between them.

The smallest possible value of the dot product of v and w is 0, which occurs when they are orthogonal or perpendicular to each other. The largest value of the dot product of v and w is equal to the product of their magnitudes, which occurs when they are parallel. In this case, the largest value of v · w is v · w = ||v|| * ||w|| = 7 * 4 = 28.

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Answer:

- 7x + 10 + y² + 7 y

Step-by-step explanation:

Hope this will help

Answer:

15

Step-by-step explanation:

4 plus 2 (half of four) is 6, meaning 10 plus 5 (half of ten) is 15. You take the 6 and the 15 and buying 6 sandwiches would be 15 dollars. (I might be wrong but I don't think so)

Increasing the sample size for a chi-square test for independence, while holding other factors constant, increases the likelihood of rejecting the null hypothesis because as the sample size increases, the test becomes more sensitive to detecting small deviations from the expected frequencies.

In a chi-square test for independence, the null hypothesis assumes that there is no association between two categorical variables.

The test compares the observed frequencies in a contingency table to the expected frequencies under the assumption of independence. The chi-square test statistic measures the discrepancy between the observed and expected frequencies.

When the sample size is small, the test may not have enough power to detect a significant departure from the null hypothesis, even if such a departure exists in the population.

However, as the sample size increases, the test becomes more capable of detecting smaller deviations from independence, increasing the likelihood of rejecting the null hypothesis when there is a true association between the variables.

Therefore, increasing the sample size can improve the statistical power of the chi-square test and increase the likelihood of rejecting the null hypothesis, assuming other factors remain constant.

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To find the approximation for the value of f(-3.2) using the degree 3 Taylor Polynomial centered about x = -4, we need to use the given derivatives of f at x = -4. approximation for the value of f(-3.2) is  9.885.

The Taylor Polynomial of degree 3 centered at x = -4 is given by: P3(x) = f(-4) + f'(-4)(x - (-4)) + (f"(-4)/2!)(x - (-4))2 + (f'"(-4)/3!)(x - (-4))3

Plugging in the given values: P3(x) = 8 + 1(x + 4) + (5/2!)(x + 4)2 + (1/3!)(x + 4)3 Simplifying further: P3(x) = 8 + (x + 4) + (5/2)(x + 4)2 + (1/6)(x + \(4)^3\)

Now, we can approximate the value of f(-3.2) using this polynomial: f(-3.2) ≈ P3(-3.2  f(-3.2) ≈ 8 + (-3.2 + 4) + (5/2)(-3.2 + 4) + (1/6)(-3.2 + 4)3 f(-3.2) ≈ 8 + 0.8 + (5/2)(0.8)2 + (1/6)(0.8)3

f(-3.2) ≈ 8 + 0.8 + (5/2)(0.64) + (1/6)(0.512) f(-3.2) ≈ 8 + 0.8 + 1 + 0.085333 f(-3.2) ≈ 9.885333 Rounding to the nearest thousandth, the approximation for f(-3.2) obtained using the degree 3 Taylor Polynomial centered about x = -4 is approximately 9.885.

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The combined cost of 1 pound of salmon and 1 pound of trout is $16.60

Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign.

The expression on the left and the expression on the right are shown to be equal in reference to one another.

Let x be the cost per pound of salmon and y be the cost per pound of trout.

Melissa buys 212 pounds of salmon and 114 pounds of trout. She pays a total of $31.25

2.5 × x + 1.25× y = $31.25

2.5x + 1.25y = 31.25

The trout costs $0.20 per pound less than the salmon.

y = x - 0.20

hence

2.5x + 1.25y = 31.25

2.5y + 1.25(x - 0.20) = 31.25

2.5y + 1.25x - 0.25 = 31.25

2.5x + 1.25x = 31.25 + 0.2

x = 31.5/3.75

x = $8.4

The cost per pound of salmon be represented by x = $8.4

y = x - 0.20

y = 8.4 - 0.20

y = $8.2

The cost per pound of trout be represented by y = $8.2

The cost of a pound of salmon and trout is:

= $8.4 + $8.2

= $16.60

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Step-by-step explanation:

By Remainder Theorem, f(5) = 91.

=> (5)³ - 4(5) + k = 91

=> 125 - 20 + k = 91

=> 105 + k = 91

=> k = -14.

Step 1: The expected value of the proposition is approximately -$9.33.

Step 2: If you played this game 711 times, you would expect to lose approximately $6620.63.

Step 1: The expected value of the proposition can be calculated by multiplying the probability of winning by the corresponding payoff and subtracting the probability of losing multiplied by the corresponding loss. In this case, the probability of drawing a card with a value of two or less from a standard deck is 3/52 (3 cards out of 52), and the payoff is $452. The probability of not drawing such a card is 49/52 (49 cards out of 52), and the loss is $35. Therefore, the expected value is (3/52) * $452 + (49/52) * (-$35) ≈ -$9.33.

Step 2: If the game is played 711 times, the expected total value can be obtained by multiplying the expected value of a single game by the number of times played. In this case, the expected total value would be approximately -$9.33 * 711 = -$6620.63. Therefore, if you played this game 711 times, you would expect to lose approximately $6620.63

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All the trigonometric values for sin θ, cos θ and tan θ are valued below. Each trigonometric value is mentioned.

sin θ has boundaries from 0 to 1.

Since the sine function is a periodic function, we can represent sin 1° as, sin 1 degree = sin(1° + n × 360°), n ∈ Z. ⇒ sin 1° = sin 361° = sin 721°, and so on.

sin \(-\pi /2\)  = -1

sin  \(-\pi /3\) = -0.87

sin \(-\pi /6\) = -0.5

sin 0 = 0

sin \(\pi /6\) = 0.5

sin \(\pi /3\) = 0.87

sin \(\pi /2\) = 1

sin \(2\pi /3\) = √3/2

sin \(5\pi /6\) = 1/2

sin \(\pi\) = 1

sin \(7\pi /6\) = -0.5

sin \(4\pi /3\) = -0.87

sin \(3\pi /2\) = -1

sin \(5\pi /3\)  = -0.87

sin \(11\pi /6\) = -0.5

sin 2\(\pi\) = 0

Similarly cos θ has boundaries.

The complementary angle equals the given angle subtracted from a right angle, 90°. For instance, if the angle is 30°, then its complement is 60°. Generally, for any angle θ, cos θ = sin (90° – θ).

cos \(-\pi /2\)  = 0

cos   \(-\pi /3\)  = 0.5

cos \(-\pi /6\)  = 0.87

cos 0 = 1

cos \(\pi /6\) = 0.7

cos \(\pi /3\) = 0.5

cos  \(\pi /2\) = 0

cos  \(2\pi /3\)  = -0.5

cos \(5\pi /6\)  = -0.87

cos \(\pi\)  = -1

cos  \(7\pi /6\) = -0.87

cos  \(4\pi /3\) = -0.5

cos  \(3\pi /2\)  = 0

cos \(5\pi /3\)  = 0.5

cos \(11\pi /6\)  = 0.87

cos2\(\pi\)  = 1

But tan θ has no boundaries.

The tangent function 'or' Tan Theta is one of the three most common trigonometric functions, along with sine and cosine. The tangent function in a right-angle triangle is defined as the ratio of the opposite side to the adjacent side.

tan  \(-\pi /2\) = undefined

tan   \(-\pi /3\)= -0.8

tan \(-\pi /6\)= -1.73

tan 0 = 0

tan \(\pi /6\)= \(\frac{1}{\sqrt{3} }\)

tan \(\pi /3\) = \(\sqrt{3}\)

tan  \(\pi /2\) = undefined

tan   \(2\pi /3\) =-3

tan \(5\pi /6\)  = -0.5774

tan \(\pi\)  = undefined

tan  \(7\pi /6\) = -1.73

tan  \(4\pi /3\) = 1.73

tan  \(3\pi /2\) = undefined

tan \(5\pi /3\) = -1.73

tan  \(11\pi /6\) = -0.58

tan2\(\pi\)  = 0

Hence, all the values mentioned in the table, were written above.

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The amount of annual raise that Mark get is 3,156.25.

To find the raise that Mark has received every year, we need to calculate the difference between his earnings in 2014 and his earnings in 2006. Then, we need to divide that difference by the number of years between 2006 and 2014.

Mark's raise from 2006 to 2014 is 25,250 (68,750 - 43,500).

Therefore, the raise that Mark has received every year is $3,156.25.

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Answer: 14

Step-by-step explanation:  

x + 9 = 23

   -9     -9

x = 14

To find the radian measure of a central angle that intercepts an arc of length 12 inches in a circle with a radius of 17 inches.

In a circle, the relationship between the central angle (θ) and the arc length (s) is given by the formula s = rθ, where r is the radius of the circle. In this case, the radius (r) is 17 inches, and the arc length (s) is 12 inches.

To find the radian measure of the central angle (θ), we rearrange the formula as follows:

s = rθ  (Divide both sides by r)

θ = s/r

Substituting the given values:

θ = 12/17

Therefore, the radian measure of the central angle that intercepts an arc of length 12 inches in a circle with a radius of 17 inches is approximately 0.7059 radians.

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Answer:

2.25

Step-by-step explanation:

This limitation on the distribution element of its marketing mix strategy supports the product’s competitive advantage.

The one which is not representing an example of a product's tangible feature is brand equity.

The limitation on the distribution element of the marketing mix strategy supports the product's competitive advantage.

By exclusively selling C-Ice at health food stores,

The company creates a selective distribution channel that positions the product as a specialized and premium offering.

This limited availability enhances the perception of exclusivity.

And uniqueness, potentially attracting health-conscious consumers who value natural and nutritional products.

Brand equity is not an example of a product's tangible feature.

Brand equity refers to the intangible value and perception associated with a brand,

Such as its reputation, customer loyalty, and brand recognition.

Tangible features, on the other hand, are physical characteristics of a product that can be observed or measured.

Examples of tangible features include packaging, color, weight, and size.

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The total materials cost before sales tax is $297.21.

The total materials cost is the result of the addition of the total cost of posts, wire mesh, gate, and staples, as follows.

The length of the rectangular space = 6 meters

The width of the space = 10.5 meters'

The perimeter of the space = 33 meters [2(6 + 10.5)]

The space between posts = 1.5 meters

The number of posts = 22 (33 ÷ 1.5)

The cost per post = $2.69

a) The cost of the posts = $59.18 ($2.69 x 22)

The cost of wire mesh:

Cost per meter = $5.96

The number of meters of wire mesh = 33 meters

b) Total cost of the wire mesh = $196.68 ($5.96 x 33)

c) Cost of the gate = $25.39

Cost of Staples:

The number of staples per post = 7

The total number of staples required = 154 (22 x 7)

The number of boxes of staples = 4

The cost per box = $3.99

d) The total cost of staples = $15.96 (4 x $3.99)

The total cost of materials = $297.21 ($59.18 + $196.68 + $25.39 + $15.96)

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A rock that has been significantly reshaped on multiple surfaces by windborne particles and sometimes has a sharp edge is a(n)  ventifact:

A rock refers to the solid portion of the earth crust which contains minerals. There are three types of rocks; The sedimentary rock: They are formed from dead plants, dead animals, sand etc.

The metamorphic rock: They are formed from previously existing rocks. The igneous rock: They are formed from the solidification of the molten magma.

Hence, ventifact are rock  that has been significantly reshaped on multiple surfaces by windborne particles and sometimes has a sharp edge.

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The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19

The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7

The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below

f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3

When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343

Then

f[g(x)] = - 64x³ - 336x² - 588x - 340

Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;

g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g

[f(x)] = -4x³ + 19

Therefore,

f[g(x)] = - 64x³ - 336x² - 588x - 340

g[f(x)] = -4x³ + 19

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