The length of a rectangle is 5 inches longer than
twice the width, and the area is 12 inches squared.
Let I represent the length and w represent the
width. Which of the following equations correctly
models the situation?

\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)

Answer:

wsdf nbvc wer jhgf jhgfc

Step-by-step explanation: wed tgfd qwd

Answer:

in 18 mins it would be 6 pages and in 6 mins it would be 1 page

Answer:

little to no correlation

Step-by-step explanation:

the correlation coefficient of this set of data is 0.13

anything below 0.2 is considered to have little to no correlation

The value of x with the given condition is 10

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

D(7,2), E(1, 9), F(4,8), and G(x, 1),

Also, we have

DE || FG

This means that the lines DE and FG are parallel lines and they have equal slope

The slope is then calculated as

slope = (y₂ - y₁)/(x₂ - x₁)

So, we have

(9 - 2)/(1 - 7) = (1 - 8)/(x - 4)

Evaluate the difference

-7/6 = -7/(x - 4)

So. we have

x - 4 = 6

Evaluate

x = 10

Hence. the value of x is 10

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here.

Step-by-step explanation:

Answer:

You need to have both the opposite and adjacent side of the right angled triangle. Tan = Opp/Adj

Step-by-step explanation:

Tangents are pretty much everywhere. A good example is maybe a slide at the playground. You’d need the tangent to figure out the angle of the slide and how it is.

The radius from the center of a circle to the point of tangency point shows that it would be perpendicular to the tangent line considering that anything with a radius is circular and the tangent line is… a line, making it impossible to be parallel.

The solution to the inequality is x >= -2 for inequality 3x-5≥-11

The given inequality is 3x-5≥-11

Three times of x greater than or equal to minus eleven

x is the variable

3x - 5≥ -11:

Adding 5 to both sides, we get:

3x ≥ -6

Dividing both sides by 3, we get:

solution is  x≥-2

Therefore, the solution to the inequality is x >= -2.

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Answer:

If it is a fair die then it should have 6 faces, each one having a number 1-6. The probability of landing on a single number is 1/6. Because the die is fair there should be an equal probability of landing on a number 1-6 giving you a probability of 1/6. However, if the number of times rolled is changed, then the answer would be multiplied or added (depending on the question).

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Hello!

\(\large\boxed{x = 3}\)

Looking at the graph, we can see that both of the lines intersect at a single point.

Looking at the intersection point, we get an x value of x = 3.

*This can also be proven algebraically by setting the two equations equal to each other:

x + 3 = 4x - 6

3 = 3x - 6

9 = 3x

9/3 = 3x/3

x = 3

Answer:

B: 9

Step-by-step explanation:

We know

Caleb took 24 photos at the zoo. 3/8 of his photos are of giraffes.

How many of Caleb’s photos are of giraffes?

We Take

24 x 3/8 = 9 photos

So, 9 of Caleb's photos are of giraffes.

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Since all sides of a square are the same, the area of a square is one side squared.

Meaning if a square had a side of 4, the area would be 16 since 4 squared is equal to 16.

The opposite is to square root the area. If you calculate the square root of 16, you get 4.

In this situation, we have to square root "\(25x^{2}\)." We can split the area up into "25" and \(x^{2}\). The square root of 25 is 5, and the square root of x squared is just x. Multiply 5 and x together, you get 5x.

Easy as that, you get your answer!

5x

The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.

Option D is the correct answer.

We have,

We need to isolate the absolute value |x + 2| on one side of the inequality.

We subtract 7 from both sides.

|x + 2| > 3

Next, we can split this inequality into two separate inequalities, one for when the expression inside the absolute value is positive, and one for when it is negative:

x + 2 > 3

or

- (x + 2) > 3

Solving for x in the first inequality.

x > 1

Solving for x in the second inequality.

-x - 2 > 3

Adding 2 to both sides and multiplying by -1.

x < -5

So the solution set for the inequality |x + 2| + 7 > 10 is the set of all x-values that satisfy either x > 1 or x < -5.

Using interval notation.

(-∞, -5) U (1, ∞)

Thus,

The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.

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V = 8181.2cm^3

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Its pretty easy i did that on a test and got a 100

The range, which is the distance between the smallest and greatest linear equation values in the data,  does not take into account the distribution of the data within that range.

In algebra, a linear equation refers to one with its form y=mx+b. B is the gradient, and m is the esta. The preceding clause is commonly referred to as a "linear function with two variables" so even though y and x are variables. Bivariate linear equations are linear equations with two variables. There are several linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation seems to have the structure y=mx+b, where m is the slope and b is the y-intercept, it is said to be linear. When a measurement seems to have the formula y=mx+b, both with m identifying its slope and b denoting the y-intercept, it is said to be linear.

Because it has a lower IQR, Fast Chicken can more consistently estimate their wait time (Interquartile Range). In this case, the IQR is the range of the middle 50% of the data, which is the distance between the first and third quartiles.

Super Fast Food, on the other hand, has a higher IQR, indicating that the data is more dispersed. This means that customers report a wider range of wait times, making it more difficult to estimate a consistent wait time. The range, which is the distance between the smallest and greatest values in the data, is not as useful for measuring consistency in this case because it does not take into account the distribution of the data within that range.

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Answer:

Step-by-step explanation:

Part (A).

Row                Number of seats

1                                 9

2                                11

3                                13

4                                15

5                                17

6                                19

7                                21

(B). Jonathan models the equation for the pattern of number of seats as,

S = 7r + 2

Where S = number of seats in every row 'r'

For r = 1,

S = 7(1) + 2 = 9

Models for row 1.

For r = 2,

S = 7(2) + 2 = 16

Not correct.

For r = 3,

S = 7(3) + 2 = 23

Not correct.

Therefore, this equation doesn't work for the rows above the first row.

(C). Correct equation is,

S = 2r +7

For r = 1,

S = 9

For r = 2,

S = 4 + 7 = 11

For r = 3,

S = 6 + 7 = 13

Therefore, this equation works for all the rows.

(D). Number of seats in 15th row = 2(15) + 7 = 37 (For r = 15)

(E). 91 = 2r + 7

     2r = 91 - 7

     2r = 84

       r = 42

Therefore, in 42nd row number of seats = 91

The scenario that Micah’s graph represents is B. Valerie has $2 and then earns $1 per week (where x is the number of weeks) in allowance, for a total of y dollars.

A graph is a diagram showing the relation between variables, each measured along with one of a pair of axes at right angles.

Here, Valerie has $2 and then earns $1 per week (where x is the number of weeks) in allowance, for a total of y dollars.

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Answer: b or Micah’s plant is 2 inches tall and grows at a rate of 1 inch per week (where x is the number of weeks), for a total of y inches.

Step-by-step explanation:

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Answer:

c + f = 5

120c + 1140f = 2640

f = 5 - c

120c + 1140(5 - c) = 2640

120c + 5700 - 1140c = 2640

1020c = 3060

c = 3 coach tickets

Step-by-step explanation:

Answer:

After calculating values from test statics we come to know that value of if null hypothesis is true then it will rejected

As critical values of z is ±1.96 after apply the test statics formula , we get the value of z that is - 4.50 As we consider the equation that

H₀ > z

Apply test statistic we fine the true value . So there is sufficient evidence to reject the claim.

Step-by-step explanation:

critical values z₀ = ±1.96; standardized test statistic z ≅ -4.50;

reject H₀

There is sufficient evidence to reject the claim.

Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.

In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.

Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;

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Complete Question:

The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS

We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.

NS and NS

NS and RS

MS and RS

MS and QS

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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The area of the first, second, and third is a triangle30square in,18 square cm,130 Square yards the surface area of the triangular top of the end table is  640 square centimetres the length of the third side of the triangle is 17 yards the length of the missing side of the right triangle is 6√2 feet.

According to the given information:

a. The area of a triangle is given by the formula A = (1/2)bh, where b is the base and h is the height. Therefore, for the first triangle:

A = (1/2)(10 in)(6 in) = 30 square inches

b. For the second triangle:

A = (1/2)(4 cm)(9 cm) = 18 square centimeters

c. For the third triangle:

A = (1/2)(20 yd)(13 yd) = 130 square yards

d. The surface area of the triangular top of the end table is also given by the formula A = (1/2)bh, where b is the base and h is the height. Therefore:

A = (1/2)(40 cm)(32 cm) = 640 square centimeters

e. Using the Pythagorean theorem, we can find the length of the third side of the right triangle:

c² = a² + b²

c² = 8² + 15²

c² = 289

c = √289

c = 17 yards

Therefore, the length of the third side of the triangle is 17 yards.

f. Using the Pythagorean theorem, we can find the length of the missing side of the right triangle:

c² = a² + b²

c² = 6² + 6²

c² = 72

c = √72

c = 6√2 feet

Therefore, the length of the missing side of the right triangle is 6√2 feet.

g. The length of the missing hypotenuse can be found using the Pythagorean theorem:

c² = 3² + 4²

c² = 9 + 16

c² = 25

c = √25

c = 5

Therefore, the length of the missing hypotenuse is 5.

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Answer:

a. a2 + b2 = c2

a2 + (12 in.)2 = (20 in.)2

a2 + 144 sq. in. = 400 sq. in.

a2 = 144 sq. in. – 144 sq. in. = 400 sq. in. – 144 sq. in.

a2 = 256 sq. in.

√a2 = 256 sq. in.

a = 16 in.

Answer: The length of the missing side is 16 inches.

b. a2 + b2 = c2

(7 cm)2 + b2 = (25 cm)2

49 cm2 +  b2 = 625 cm2

49 cm2 – 49 cm2 + b2 = 625 cm2 – 49 cm2

b2 = 576 cm2

√b2 = √576 cm2

b = 24 cm

Answer: The length of the missing side is 24 centimeters.

c. a2 + b2 = c2

(8 yd.)2 + (15 yd.)2 = c2

64 sq. yd. + 225 sq. yd = c2

289 sq. yd. = c2

√289 sq. yd. = √c2

17 yd. = c

Answer: The third side of the fence will be 17 yards long.

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Tn = an²+bn

T2 = a2²+2b

2 = 4a +2b

Multiply all through by 2

4 = 8a +4b

4b = 4-8a

T4 = a4² + 4b

20 = 16a +4b

4b = 20-16a

4-8a = 20-16a

16a -8a = 20-4

8a = 16

a = 16/8 = 2

4b = 4-8a = 4-8(2) = 4-16 = -12

b = -12/4 = -3

T6 = a6² + 6b

T6 = 2(36) + 6(-3) = 72 -18 = 54

Answer:

54

Step-by-step explanation:

Answer:

y=3x-11

Step-by-step explanation:

Y = 3x-11    x=3

                  y= -2

y = 3(3) - 11

y = -2