What is 1/3÷4. Because i am stuck on this question I don't kno

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

WHat is Divisibility?

Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3

To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.

Base Case:

When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.

Inductive Step:

Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.

We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.

Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

To know more about Divisibility visit:

https://brainly.com/question/9462805

#SPJ4

Answer:

452

Step-by-step explanation:

Considering the roots of function f(x), the correct statement is given by:

D. f has exactly two zeros of [0,4].

The roots of a function are the values of x for which f(x) = 0.

In this problem, we have that:

For values of x less than 2 on the interval, the function is never negative nor zero, hence there are no roots in that interval and option D is correct.

More can be learned about the roots of a function at https://brainly.com/question/2833285

#SPJ1

Answer: 1.5

Step-by-step explanation:

when you subtract

integers you have too  subtract like normal  

Answer:

no it is not

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Because if you draw a vertical line anywhere it should not intersect the graph more than once if is a function

Answer:

84 in²

Step-by-step explanation:

(15+6)0.5 * 8 = 21(0.5) * 8 = 10.5 * 8 = 84

The figure shows that the length of the lawn is 26 ft, and the width is 19 ft. To find the perimeter, we need to add the lengths of all four sides.

Therefore, the perimeter of the lawn is 2(26+19) = 90 ft. To calculate the area of the lawn, we need to multiply the length by the width. Therefore, the area of the lawn is 26*19 = 494 sq. ft. We need to include the correct units, so the perimeter is measured in feet, and the area is measured in square feet. We need to find the distance around the lawn, which is the perimeter. Therefore, we would use the perimeter to calculate how much rope to buy. In this case, the perimeter is 90 ft, so we would need to buy at least 90 ft of rope to surround the entire lawn.

We need to know the length of the sides of the lawn to calculate how long it will take to mow. Therefore, we would use the perimeter to find the length of the sides. However, the perimeter only gives us the total distance around the lawn, not the length of each side. Therefore, we would need to divide the perimeter by 4 to find the length of each side. In this case, the length of each side is (26+19)*2/4 = 22.5 ft. We can use the length of the sides and the area of the lawn to estimate how long it will take to mow. However, we would need additional information, such as the speed of the lawnmower, to make an accurate estimate.

To know more about perimeter visit:-

https://brainly.com/question/6465134

#SPJ11

Answer:

A

Step-by-step explanation:

Since Angle XYZ is equal to Angle YZX,

XY=XZ

The two triangles are congruent.So,

VW=YZ

XY=UV

XZ=UW

Thus;

XY=UV

XZ=UW

XZ=XY=UV=UW

So the permieter is 5.7 + 5.7 + 3.7 = 15.1 cm

Answer:

433345344 Answer

Step-by-step explanation:

Answer:

$39

Step-by-step explanation:

3 x 9 = 27

3 x 4 = 12

27 + 12 = 39

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

bro kjbvbbbbbbbbjnbbbjjjkkkkmnmkkknñ

When a large number of cases are examined and a positive relationship is found, one can also expect to find statistical significance and a stronger correlation between the variables.

When examining a large number of cases, the presence of a positive relationship between variables is not sufficient on its own. It is also important to determine if the observed relationship is statistically significant.

Statistical significance indicates that the relationship is unlikely to have occurred by chance and is a meaningful and reliable finding.

To establish statistical significance, statistical tests, such as hypothesis testing, can be conducted. These tests evaluate the strength of the relationship between variables and determine whether it is statistically significant or not.

If the relationship is statistically significant, it suggests that the observed relationship is unlikely to be due to random variation and can be generalized to the larger population.

Additionally, when a positive relationship is found, examining a large number of cases may reveal a stronger correlation between the variables. A stronger correlation indicates a closer association between the variables and implies that changes in one variable are more consistently associated with changes in the other variable.

In summary, when a large number of cases are examined and a positive relationship is found, one should also expect to find statistical significance and potentially a stronger correlation between the variables.

Learn more about correlation here:

https://brainly.com/question/28898177

#SPJ11

The largest possible integer or maximum value that could be included in the set is 4897.

The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list. This usually means average.

The median is the middle value of the list ordered from smallest to largest.

Mode is the most frequently occurring value in the list.

Numbers x1,x2,x3,x4 and x5 (these are in numerical order.)

We know that (x1+x2+x3+x4+x5) / 5 = 1000. This is equivalent to x1+x2+x3+x4+x5 = 5000.

Also, the median of (x1,x2,x3,x4,x5) is (x3) = 100. So x3=100.

x1+x2+100+x4+x5=5000

x1+x2+x4+x5=4900

Since x1, x2,x4 are positive,

The maximum value of x5 is 4897.

To learn more about mean, median and mode visit : https://brainly.com/question/15323584

#SPJ4

Answer:

1-true 2-false 3-false 4-true 5-false 6-true 7-true

Step-by-step explanation:

I am a god at Geometry

Answer:

1 and 7

Step-by-step explanation:

The value of x that satisfies the equation is x = 15/8, which is equivalent to 1.875.

To solve the equation (2/3)x - (1/5)x = x - 1 and find the value of x, we can follow these steps:

Combine like terms on the left side of the equation:

(2/3 - 1/5)x = x - 1

Find a common denominator for the fractions on the left side. The common denominator for 3 and 5 is 15, so we rewrite the equation as:

(10/15 - 3/15)x = x - 1

Simplify the left side of the equation:

(7/15)x = x - 1

To eliminate the fraction, we can multiply both sides of the equation by the denominator of the fraction, which is 15:

15 * (7/15)x = 15 * (x - 1)

This simplifies to:

7x = 15x - 15

Subtract 15x from both sides of the equation to isolate the x term:

7x - 15x = -15

Simplifying further:

-8x = -15

Divide both sides of the equation by -8 to solve for x:

x = (-15) / (-8)

Simplifying the division:

x = 15/8

For more such question on equivalent . visit :

https://brainly.com/question/2972832

#SPJ8

Answer:

77 years old

Step-by-step explanation:

Answer:

10$ I think

Step-by-step explanation:

2*30=60

90-60=30

30/3=10

Answer:

x=5 y=-5

Step-by-step explanation:

Answer:

21 baskets

Step-by-step explanation:

Answer:

58.32

Step-by-step explanation:

100÷12.5=8, 7.29×8=58.32.

Answer:

Yes it is

Step-by-step explanation:

Because 4 ×-2=-8

The solution is, A = F ⇒ 117°

B = G ⇒ 90°

C = H ⇒ 127°

D = I ⇒ 90°

E = J ⇒ 117°.

A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.

here, we have,

As it is mentoned in the question

Polygon ABCDE rotates around point F in clockwise direction to create polygon FGHIJ

And as we can see in the figure that

So we conclude that

A = F ⇒ 117°

B = G ⇒ 90°

C = H ⇒ 127°

D = I ⇒ 90°

E = J ⇒ 117°

Therefore this is the answer  A = F ⇒ 117°

B = G ⇒ 90°

C = H ⇒ 127°

D = I ⇒ 90°

E = J ⇒ 117°.

To learn more on polygon click:

brainly.com/question/24464711

#SPJ1

The 95% confidence interval estimate for the population proportion of car deals that used 0% financing is (0.1612, 0.2308). So, the correct option is (b).

To construct a confidence interval estimate for the population proportion of car deals that used 0% financing, we can use the formula

CI = p ± z√((p(1-p))/n)

where

p = sample proportion = 98/500 = 0.196

n = sample size = 500

z = z-score for the desired level of confidence, which is 95% in this case. From a standard normal distribution table, the z-score corresponding to 95% confidence level is approximately 1.96.

Substituting the values, we get

CI = 0.196 ± 1.96√((0.196(1-0.196))/500)

= (0.1612, 0.2308)

Therefore, the 95% confidence interval estimate is (0.1612, 0.2308).

The correct answer is (b).

To know more about confidence interval:

https://brainly.com/question/29680703

#SPJ4

20% of students in a class 5 students took a trip

How many students are in the class altogether​?

Solution;

Let X be the total number of the students

20 % of X = 5.

1/ 5 of X = 5

X = 25 students

The adjusted cost of the dealer financing package is 5.00%. Therefore, you should accept the rebate and finance your new vehicle using your credit union loan as its cost (8.8%) is less than the adjusted cost of the dealer-arranged financing (5.00%).

To compare the dealer financing package with the credit union loan, you need to determine the adjusted cost of the dealer financing package using the given equation.

Using the given information: D = $27,690, APR = 3.5%, Y = 12 (monthly payments), P = 48 (4 years of payments), and F = $1,038.

Plugging the values into the equation:

APR = (12 * ((95 * 48) + 9) * 1038) / (12 * 48 * (48 + 1) * (4 * 27690 - 1038))
APR = (12 * (4560 + 9) * 1038) / (12 * 48 * 49 * (110760 - 1038))
APR = (12 * 4569 * 1038) / (12 * 48 * 49 * 109722)
APR = 56830384 / 257289792
APR ≈ 0.2208

To convert this to percentage, multiply by 100: 0.2208 * 100 ≈ 22.08%

Since the adjusted cost of the dealer-arranged financing package (22.08%) is higher than the credit union loan's cost (8.8%), you should accept the rebate and finance your new vehicle using your credit union loan.

Learn more about interest rate here: brainly.com/question/13324776

#SPJ11

At point(s) 0 on the - axis is the electric field zero = 5.833

What is Axis?

An object rotates or spins around an unseen line known as an axis. The North and South Poles of an object are the places where an axis crosses its surface.

So we can take a midpoint of the charges..

as x₁ = 4.5

x₂ = 6.5

Now

from the figure,there is one positive sign on the right side of the charge, so, lets take one positive sign as q then charge on the right side of the particle is q.

the charge on the left side of the charge will be 4q because there are 4 plus sign on the charge.

Consider the neutral point where electric field would be zero.

So electric filed due to q

E₂ = kq/(x₂-x²)

also electric filed due to 4q

E₁ = k4q/(x-x₁)²

So at the neutral point both electric filed will be equal.

E₁ =E₂

\(\frac{k(4q)}{(x-x_{1^{2} } } \\= kq/(x_{2}-x^{2} )\\\\\)

= 4/(x-4.5)²

=1/(6.5-x)²

x = 5.8333

x= 6

At point(s) 0 on the - axis is the electric field zero = 5.833

To learn more about Axis visit:

brainly.com/question/30141671

#SPJ4

Answer:

15/182

Step-by-step explanation:

the 1st one is 5/14 and the 2nd one is 3/13

5/14*3/13 = 15/182

Answer: 90 and 110

Step-by-step explanation: