What is the largest power of 2 that is a divisor of 13^4 - 11^4?

Answer:

2√e√3√f / 3f

Step-by-step explanation:

√4√e / √3√f

2√e / √3√f  * (√3√f / √3√f)

2√e√3√f / 3f

Answer:

d

Step-by-step explanation:

12

Answer:

x > 7

Step-by-step explanation:

- 7m + 4 < - 45 ( subtract 4 from both sides )

- 7m < - 49

Divide both sides by - 7 , reversing the symbol as a result of dividing by a negative quantity.

m > 7

Based on the graph of the function shown, the answers are as follows;

(a) f(1) = 3.

(b) the domain is [-1, 5].

(c) f(x) = 2 when x ≈ 0.6 and 3.4.

(d) the range is [-5, 4].

In Mathematics and Geometry, a domain is simply the set of all real numbers (x-values) for which a particular equation or function is defined.

The horizontal section of any graph is typically used for the representation of all domain values. Additionally, all domain values are both read and written by starting from smaller numerical values to larger numerical values, which means from the left of a graph to the right of the coordinate axis.

By critically observing the graph shown in the image attached below, we can reasonably and logically deduce the following domain and range:

Domain = [-1, 5].

Range = [-5, 4].

In conclusion, when x = 1, f(1) would be equal to 3 and all x-values such that f(x) = 2 are approximately 0.6 and 3.4

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

392

Step-by-step explanation:

7(8) + 3(8)(14)

56 + 24(14)

56 + 336

392

Answer:

392.

Step-by-step explanation:

7m + 3mn Substitute the variables.

7(8) + 3(8)(14) Multiply from left to right.

56 + 24*14 Multiply 24 by 14.

56 + 336 Add the products.

392 is the answer.

Answer:

10x I think

cause X divide by 6 is X/6

then X/6 x 60min(1h) is 60x/6 which is 10x

hope this helps:))

The area of the irregular shape is 63 ft². Answer: a = 63 ft².

To find the area of the irregular shape, we can break it down into smaller rectangles and triangles, and then sum up their areas.

First, let's calculate the areas of the rectangles:

Rectangle 1: Length = 6 ft, Width = 4 ft

Area = Length × Width = 6 ft × 4 ft = 24 ft²

Rectangle 2: Length = 1 ft, Width = 12 ft

Area = Length × Width = 1 ft × 12 ft = 12 ft²

Rectangle 3: Length = 4 ft, Width = 4 ft

Area = Length × Width = 4 ft × 4 ft = 16 ft²

Now, let's calculate the areas of the triangles:

Triangle 1: Base = 6 ft, Height = 1 ft

Area = (Base × Height) / 2 = (6 ft × 1 ft) / 2 = 3 ft²

Triangle 2: Base = 4 ft, Height = 4 ft

Area = (Base × Height) / 2 = (4 ft × 4 ft) / 2 = 8 ft²

Finally, sum up the areas of all the rectangles and triangles:

Total Area = Rectangle 1 Area + Rectangle 2 Area + Rectangle 3 Area + Triangle 1 Area + Triangle 2 Area

= 24 ft² + 12 ft² + 16 ft² + 3 ft² + 8 ft²

= 63 ft²

Therefore, the area of the irregular shape is 63 ft².

Answer: a = 63 ft².

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We want to find the value of t such that the area to the left of −|t| plus the area to the right of |t| equals 0.1.

That is level of significance (α) = two-tail area = 0.1

what is a level of significance in research?

The significance stage (also called kind I mistakes rate or the extent of statistical importance) refers back to the chance of rejecting a null hypothesis that is in truth true. This amount stages from 0 (0.0) to at least one (1.zero) and is generally denoted through the Greek letter alpha (a).

What are the three levels of significance?

commonplace importance stages are 0.10 (1 risk in 10), 0.05 (1 risk in 20), and zero.01 (1 hazard in one hundred). The result of a speculation check, as has been seen, is that the null hypothesis is both rejected or now not.

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Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².

Given that it has three sides and three vertices, a triangle qualifies as a polygon. It is a fundamental geometric figure. Triangle ABC is the term used to refer to a triangle containing the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. Triangles are polygons because they have three sides and three corners. The points where the three sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.

Here,

Given : Triangle STU is a right triangle.

Thus,

We find :

sides s,t and u

the relationship between them is :

As it is a right triangle

So,

According to the pythagoras theorem,

=>u²= t²+s²

Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².

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Answer:

-1/2

Step-by-step explanation:

We can see the points (0, 3) and (2, 2) on the graph given.

We can use the formula [ y2-y1/x2-x1 ]

2-3/2-0

-1/2

Best of Luck!

The function which represents the cost to drive a car from this agency miles x a day is :

C(x) = 15, if 0 ≤ x ≤ 200

      = 15 + 0.05x, if x > 200

Given that,

A car rental agency charges $15 a day for driving a car 200 miles or less.

The function can be written as,

C(x) = 15 if 0 ≤ x ≤ 200

If a car is driven over 200 miles, the renter must pay $0.05 for each mile over 200 driven.

C(x) = 15 + 0.05x, if x > 200

Hence the correct option is D.

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the triangles can be proved similar by AA congruence.

What is congruent of the triangle?

The shapes maintain their equality regardless of how they are turned, flipped, or rotated before being cut out and stacked. We'll see that they'll be placed entirely on top of one another and will superimpose one another. Due to their identical radius and ability to be positioned directly on top of one another, the following circles are considered to be congruent.

Any two figures can be perfectly positioned over one another to demonstrate their congruence. The relationship between two figures that are said to be congruent is described using the word "congruence."

As both the triangles are right angle so the left side triangle the angles are 90, 54 and 38.

Similarly for the right-sided triangle again the angles are 90, 54 and 38.

Hence the triangles can be proved similar by AA congruence.

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Answer:

AA

Step-by-step explanation:

yes

Answer:

x <  1

Step-by-step explanation:

We are given a polynomial inequality as: x(x+2)2(x−5)≤0In order to find the solution to the given polynomial inequality, we need to follow the following steps:

Step 1: Find the critical points by solving the polynomial equation obtained by equating the given polynomial inequality to 0x(x+2)2(x−5) = 0Therefore, the critical points are x = 0, x = -2 and x = 5

Step 2: Plot the critical points on the number line as shown below:

Step 3: Test each of the intervals on the number line using the test values to find whether the polynomial inequality is positive or negative in that interval

Test 1: Let x = -3 which is in the interval (-∞, -2)Now, x(x+2)2(x−5) = (-3)(-1)2(-8) = 24

Since the test value of x(-3) is positive, therefore, the polynomial inequality is positive in the interval (-∞, -2)

Test 2: Let x = -1 which is in the interval (-2, 0)Now, x(x+2)2(x−5) = (-1)(1)2(-6) = 6

Since the test value of x(-1) is positive, therefore, the polynomial inequality is positive in the interval (-2, 0)

Test 3: Let x = 1 which is in the interval (0, 5)Now, x(x+2)2(x−5) = (1)(3)2(-4) = -36

Since the test value of x(1) is negative, therefore, the polynomial inequality is negative in the interval (0, 5)

Test 4: Let x = 6 which is in the interval (5, ∞)Now, x(x+2)2(x−5) = (6)(8)2(1) = 96

Since the test value of x(6) is positive, therefore, the polynomial inequality is positive in the interval (5, ∞)

Step 4: Thus, the solution to the given polynomial inequality in interval notation is:(-∞, -2] U [0, 5]

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The flux of F across the curve C in the direction pointing away from the origin is -18√122/11.

The flux of F coming out of the circle through the curve C is 24π.

The formula for the flux of a vector field F across a curve C in the direction of the unit normal vector field N is given as

flux = ∫C F . N ds

where ds is the differential length element along the curve C.

The curve C is a straight line, so we can find its equation as

y = -11x + 11.

The unit tangent vector field is T = (1,-11)/√122 and the unit normal vector field is N = (-11,-1)/√122, oriented away from the origin.

Thus, the vector field F(z,y) = (2,16) is independent of x,

Now, evaluate the curve at any point on the curve C.

Let's choose the point (0,11). Then, F(0,11) = (2,16)

flux = ∫C F . N ds

= ∫C (2,16) . (-11,-1)/√122 ds

= -18√122/11.

Therefore, the flux of F across the curve C in the direction pointing away from the origin is -18√122/11.

The circle C has radius 5 centered at the origin and its given by this equation

\(x^2 + y^2 = 25.\)

The unit normal vector field on the circle C is N = (x,y)/5, oriented outward from the circle.

Since the vector field F(x,y) = (8x,8) is independent of y, evaluate it at any point on the circle C.

Let's choose the point (3,4). Then, F(3,4) = (24,8)

flux = ∫C F . N ds

\(= \int C (24,8) . (x,y)/5 ds\\= \int C 24x/5 + 8y/5 ds\)

To parameterize the circle C, use x = 5cos(t) and y = 5sin(t),

where t goes from 0 to 2π.

Thus,

ds = 5dt

flux = \(\int C 24x/5 + 8y/5 ds\)

=\(\int0^2\pi 24(5cos(t))/5 + 8(5sin(t))/5 (5dt)\)

= 24π

Therefore, the flux of F coming out of the circle through the curve C is 24π.

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Answer:

2 : 1

12 : 6

30 : 15

Step-by-step explanation:

Look at the ratios one by one.  Starting with 6 : 3, we can see that it's of the form 2a : a.

2 : 1

12 : 6

30 : 15

These are all equivalent.

Answer: 3x+4=34

Step-by-step explanation: let the number be x

A.T.Q

the number is 3 times i.e 3x

4 increase=3x+4.

and it says the equation is equal to 34.

3x+4=34

Answer:

about $84.47

Step-by-step explanation:

6.5%=0.65

129.95x0.65=84.4675

                    =84.47

Step-by-step explanation:

567020 is the answer........

The explicit formula for a geometric sequence is \(a_{n}\) =\(a_{1}^{r-1}\)

The sequence is:

  1, 2, 4, 8..........

The formula for a geometric sequence,

                   \(a_{n}\) = \(a_{1}^{r - 1} }\)

                   a, ar, \(ar^{2}\), \(ar^{3}\)

r = common ratio

n = number of sequences in a series.

Let us understand by the sequence,

Here r = 2 , a = 1

Therefore by putting these values in the equation we get,

\(a_{n}\) = \(a_{1}r^{n-1} }\)

   = a, ar, a\(r^{2}\), a\(r^{3}\), ........

   1, 2, 4, 8 .........

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There is no elementary matrix e such that ea = b for this pair of matrices.

To find an elementary matrix e such that ea = b, we need to perform the same elementary row operation on a that was performed on the identity matrix to obtain e. We can then multiply e by a to obtain b.

1. a = [1 3; 2 4], b = [4 10; 2 4]

To get from the identity matrix to a, we need to subtract 2 times the first row from the second row. The elementary matrix e is therefore:

e = [1 0; -2 1]

We can check that ea = b:

e * a = [1 0; -2 1] * [1 3; 2 4] = [1 -3; 0 -2]

ea = [1 -3; 0 -2] = b

2. a = [2 1; 3 2], b = [4 3; 5 3]

To get from the identity matrix to a, we need to subtract 3 times the first row from the second row. The elementary matrix e is therefore:

e = [1 0; -3 1]

We can check that ea = b:

e * a = [1 0; -3 1] * [2 1; 3 2] = [2 1; 0 1]

ea = [2 1; 0 1] = b

3. a = [1 0; 0 -1], b = [-1 0; 0 1]

To get from the identity matrix to a, we need to multiply the second row by -1. The elementary matrix e is therefore:

e = [1 0; 0 -1]

We can check that ea = b:

e * a = [1 0; 0 -1] * [1 0; 0 -1] = [1 0; 0 1]

ea = [1 0; 0 1] ≠ b, so there is no elementary matrix e such that ea = b for this pair of matrices.

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Answer:

59 degrees

Step-by-step explanation:

All the angles of a triangle (when combined) result in 180 degrees. This means that:

Angle 1 + angle 2 + angle 3 = 180 degrees.

We can see here that the shape here is a right triangle (noted by the square in the corner). This means that the angle set with the square is equal to 90. With this, we already have two of our angles! All we need is to set the equation using w, the angle you'll want to find:

31 + 90 + w = 180

w = 59

And there you are! Make sure to practice a few more problems like these to really get the hang of it. Good luck!

In parallelogram ABCD, AB = 3 cm and the diagonals AC and BD are 5.8 cm and 4.2 cm respectively. If the diagonals AC and BD intersect at O, then the perimeter of ∆AOB is 8 cm

perimeter of a triangle = length 1 + length 2 + length 3

assuming

length 1 = AB = 3 cm

length 2 = 5.8 / 2

length 3 = 4.2 / 2

Reason for length 2 and length 3 is when the diagonal of a parallelogram intersect they bisect each other. bisect means divide each other into two equal parts

substituting the values

perimeter of the triangle = 3 + 5.8 / 2 + 4.2 / 2

= 3 + 2.9 +  2.1

= 8 cm

The perimeter of the triangle formed is 8 cm

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Data on graduation rates among athletes at Division I universities indicates that there are varying rates of graduation among student-athletes.

Graduation rates among athletes at Division I universities can depend on various factors such as the sport, academic support programs, and individual commitment to academic success. It is important to note that not all student-athletes may graduate within the traditional four-year timeframe due to athletic commitments and other factors. Some athletes may choose to leave early to pursue professional sports careers or transfer to different universities.

However, universities generally prioritize the academic success of their athletes and provide resources such as tutoring, study halls, and academic advisors to support them. Additionally, the National Collegiate Athletic Association (NCAA) sets academic eligibility standards for student-athletes to ensure they make progress toward graduation. Overall, while there may be variation, Division I universities typically strive to support and promote the graduation of their student-athletes.

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Answer:

\(\frac{5}{3} \\.3846153846\)

Step-by-step explanation:

The minimum number of integers that must be odd, then, is (A) 1.

So, it is conceivable for the initial two integers to both be even, as in the case of 10 + 16 = 26.

The next two numbers, however, when added together, result in an odd 15 increase, thus one of them must be odd and the other must be even. For instance, 3 + 12 equals 15.

Last but not least, the following two integers add up to 16, which is even, therefore we can have both be even: for instance, 2 + 14 = 16.

The minimum number of integers that must be odd, then, is 1.

Therefore, the minimum number of integers that must be odd, then, is (A) 1.

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Correct question:
Two integers have a sum of 26. when two more integers are added to the first two integers the sum is 41. finally when two more integers are added to the sum of the previous four integers the sum is 57. what is the minimum number of odd integers among the 6 integers?

(a) 1

(b) 2

(c) 3

(d) 4

(e) 5

The hiker's elevation after 150 minutes is given as follows:

1998.5 feet.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

For this problem, the function is given as follows:

y = 9.01x + 647.

Giving the hiker's elevation after x minutes.

Hence the hiker's elevation after 150 minutes is found with the numeric value at x = 150, replacing the lone instance of x by 150, hence:

y = 9.01(150) + 647 = 1998.5 feet.

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Answer:

3

Step-by-step explanation:

The 3 is in the tens place representing the number 30.

~theLocoCoco

Answer:

C) 18 ounces

Step-by-step explanation:

From observation of the pie chart (attached), we can see that 27% of the salad mix is romaine lettuce. Therefore, to determine the approximate number of ounces of romaine lettuce in a 64-ounce container of salad mix, we need to calculate 27% of 64.

First, convert the percentage to a decimal by dividing it by 100:

\(\sf 27\%=\dfrac{27}{100}=0.27\)

Multiply the decimal value of the percentage by the number you want to find the percentage of. Therefore, multiply 0.27 by 64:

\(\sf 0.27 \times 64 = 17.28\)

Therefore, the 64-ounce container of salad mix has approximately 17 ounces of romaine lettuce, rounded to the nearest whole number.

The closest option among the given answer choices is C) 18 ounces.

Answer and Step-by-step explanation:

To determine how many ounces of romaine lettuce Dominic's 64-ounce container of salad mix has, we need to calculate the percentage of romaine lettuce in the mix.

According to the pie chart, romaine lettuce makes up 27% of the salad mix.

To find the number of ounces, we can multiply the percentage by the total number of ounces in the container.

27% of 64 ounces is equal to (27/100) * 64 = 17.28 ounces.

Therefore, the container has approximately 17.28 ounces of romaine lettuce.

Since none of the answer choices match this exact amount, the closest option is C) 18 ounces.