evaluate without using a calculator. log4 4^17

Answer:

4 2/3 hours

Step-by-step explanation:

There are 7 days in a week

2/3 of an hour per day * 7 days

2/3 *7 = 14/3 hours

Changing to a mixed number

4 2/3 hours

Answer:

4.667

Step-by-step explanation:

2/3*7=4.667 (if you need decimal notation)

If you need a mixed number:

4+2/3:-)

I hope this helps!

\(- RosalindCordelia\)

\(\implies {\blue {\boxed {\boxed {\purple {\sf { C) \:7 + 4 \sqrt{3}}}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\( {( - 2 - \sqrt{3} )}^{2} \)

\( = ({ - 2})^{2} - 2.( - 2). \sqrt{3} + { (\sqrt{3}) }^{2} \)

\( = 4 + 4 \sqrt{3} + 3\)

\( = 7 + 4 \sqrt{3} \)

\( ({a - b})^{2} = {a}^{2} - 2ab + {b}^{2} \)

\( \sqrt{a} \times \sqrt{a} = a\)

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)

Answer:

20 inches

Step-by-step explanation:

if one half is 6  and 4 inches then the other half is equal to that it would be 20 inches total.

^answer:^

~10 cubic feet~

^step by step explanation:^

first, calculate the volume of the front “panel” of the shape. (5 cubic centimeters because 5 times 3 is 15 and 15 times 1/3 is 5. 5 times 2 is 10.

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i got it right on the quiz lol

The Yosemite bill was introduced in Congress 5 times before it was passed into law. The first time it was introduced was in 1864, and it took until 1890 for it to finally pass.

This tells us a few things about the people involved in the process. First, it tells us that they were persistent. They didn't give up on their goal of protecting Yosemite, even though it took them many years to achieve it. Second, it tells us that they were willing to compromise. The original bill proposed that Yosemite Valley and Mariposa Grove be granted to the State of California. However, the final bill that was passed granted the land to the federal government. This shows that the people involved were willing to work together to find a solution that would benefit everyone involved.

Here are the details of the different times the Yosemite bill was introduced in Congress:

1864: The Yosemite Valley Grant Act was introduced by Representative John Conness of California. The bill was passed by the House of Representatives, but it died in the Senate.

1865: The Yosemite Valley Grant Act was reintroduced by Representative Conness. The bill was passed by both the House of Representatives and the Senate, but it was vetoed by President Andrew Johnson.

1869: The Yosemite Valley Grant Act was reintroduced by Representative Conness. The bill was passed by both the House of Representatives and the Senate, and it was signed into law by President Ulysses S. Grant.

1889: The Yosemite National Park Act was introduced by Representative William Vandever of Iowa. The bill was passed by both the House of Representatives and the Senate, and it was signed into law by President Benjamin Harrison.

1890: The Yosemite National Park Act was amended to add the Mariposa Grove of Giant Sequoias to the park. The amendment was passed by both the House of Representatives and the Senate, and it was signed into law by President Harrison.

The Yosemite bill was a major victory for conservationists. It protected a beautiful and unique landscape from development and ensured that it would be available for future generations to enjoy. The fact that it took so many years to pass the bill shows the challenges that conservationists face in protecting our natural resources. However, it also shows that with persistence and compromise, it is possible to achieve great things.

Learn more about Yosemite here:

brainly.com/question/4479741

#SPJ

The probability that a randomly chosen person has either no opinion, no confidence, or very little confidence in small businesses can be found by adding the probabilities of each of these individual events occurring.

This can be done using the formula P(A or B or C) = P(A) + P(B) + P(C) - P(A and B) - P(A and C) - P(B and C) + P(A and B and C).

Similarly, the probability for big businesses can be found using the same formula.
It is important to note that the probabilities of these events occurring must be known in order to calculate the overall probability.

Without this information, it is not possible to determine the probability that a randomly chosen person has either no opinion, no confidence, or very little confidence in small or big businesses.

You can read more about probability at https://brainly.com/question/24756209

#SPJ11

Answer:

i dont understand the question

Step-by-step explanation:

Answer: 7/80

Step-by-step explanation: because you would have to multiply the values of a and b, 7 times 1=7 and 8 times 10=80, so an= 7/80

The area after 15 years is 517.40km²

It is the quantity that expresses the content of the region on the plane or on a curved surface. Area is the size of the surface that can be calculated. It is the amount of space occupied by a two-dimensional figure. It is the quantity that measures the unit of squares. We get the area of the rectangle by multiplying length and width. The area of the figure is counted by the area of unit squares. It determines the area of the number of common shapes, including rectangle, trapezoid, circle, sector, ellipse etc.

y = A(1 - r)t

where,

A = initial area

r = rate

y = 1600(1 - 0.0725)

y = 1600\((0.9275)^{t}\)

here we put t=15, then we get

y=1600\((0.9275)^{15}\)

y=517.40 km²

Therefore, the area after 15 years is 517.40km²

To know more about area, visit:

https://brainly.com/question/27683633

#SPJ4

"https://www.wyzant.com/resources/answers/224267/a_certain_forest_covers_an_area_of_1600_km2_suppose_that_each_year_this_area_decreases_by_7_25_what_will_the_area_be_after_15_years"

Answer:

Mabel will use scale factor of 20 to enlarge the design.

{ If you do need explanation, Please inform me.}

Answer:

Step-by-step explanation:

Method 1: Counting the number of committees with exactly one engineer:

There are 2 ways to choose the engineer, and 10 ways to choose the remaining 9 computer scientists. Hence, there are 2 * 10 = 20 different committees with exactly one engineer.

Method 2: Using the combinations formula:

There are 12 people in total, and we need to choose 10 of them for the committee. We can use the combinations formula to calculate the number of different ways to choose 10 people from 12: C(12, 10) = (12!) / (10! * (12-10)!) = (12!) / (10! * 2!) = 66.

So, there are 66 different ways to create a committee of 10 people with at least one engineer represented.

The points on the curve where the tangent line is horizontal are (6, 0) and (6, π). There are no points where the tangent line is vertical.

To find the points on the curve where the tangent line is horizontal or vertical, we need to determine the values of θ that correspond to these points.

1. Horizontal tangent:

A tangent line is horizontal when the derivative of r with respect to θ is zero. Taking the derivative of r = 6 cos θ, we get dr/dθ = -6 sin θ. Setting this equal to zero, we have -6 sin θ = 0. Solving for θ, we find two solutions: θ = 0 and θ = π.

2. Vertical tangent:

A tangent line is vertical when the derivative of θ with respect to r is zero or undefined. In this case, dθ/dr = 1/(dr/dθ) = 1/(-6 sin θ). Setting this equal to zero or undefined, we have -6 sin θ = ±∞.

There are no solutions for sin θ = ±∞ since sin θ is always between -1 and 1. Therefore, there are no points on the curve where the tangent line is vertical.

Learn more about tangent line:

https://brainly.com/question/30162650

#SPJ11

The correct alternative hypothesis is: Ha: not all sample mean course ratings are the same.

Since we are comparing the average ratings of the three courses, we should use the sample mean instead of the median. The alternative hypothesis (Ha) should propose a difference between the courses, indicating that not all sample mean course ratings are the same.

This hypothesis will be tested against the null hypothesis, which states that the sample mean course ratings are the same. If we find enough evidence to reject the null hypothesis, it suggests that there is a significant difference in the average ratings among the three courses.

To know more about null hypothesis click on below link:

https://brainly.com/question/19263925#

#SPJ11

Answer:

-15 5/6

Step-by-step explanation:

Combine the given terms (through addition and subtraction).

14 7/8  -  15  -  5/6  -  14 7/8

Identify the LCD:  It is 24

Therefore we have:

14 21/24 - 15 - 20/24 - 14 21/24

Combining the whole numbers, we get

14 - 15 - 14, or -15

and combining the fractions, we get

21 - 20 - 21

----------------- = -20/24

       24

and so we have -15 - 20/24, or -15 - 5/6, or -15 5/6

Our assumption that there are only finitely many primes of the form 3n^2 must be false. Hence, there are infinitely many primes of form 3n^2, as required.

To prove that there are infinitely many primes of form 3n^2, where n belongs to Z (the set of integers), we will use a proof by contradiction. Suppose that there are only finitely many primes of form 3n^2, say p_1, p_2, ..., p_k. Let N be any integer greater than p_k.

Consider the integer m = 3N^2. Since N > p_k, we have m > 3p_k^2, and so m is not divisible by any of the primes p_1, p_2, ..., p_k.

Now, let p be a prime factor of m. Since m = 3N^2, we have p|3N^2, and so p|N^2. This implies that p|N (since p is prime and cannot divide only one factor of a square). Therefore, we have m = 3N^2 = pN' for some integer N'.

Since p does not divide N, we have p does not divide 3 (since p|3N^2 but p does not divide N), and so p must be of the form 3k+1 or 3k+2 (by considering the possible remainders of p when divided by 3). But since m = 3N^2 is divisible by 3, we must have p|N.

Therefore, N' is also an integer, and we have m = pN'. But this contradicts the fact that p does not divide any of the primes p_1, p_2, ..., p_k.

Click the below link, to learn more about mathematical induction:

https://brainly.com/question/31244444

#SPJ11

Answer:

C y = 3/4x + 12

Step-by-step explanation:

If a Simpson's line (a line passing through the centroid and any point on the circumcircle of a triangle) goes through its own pole (the isogonal conjugate of the point), then the pole must be one of the vertices of the triangle.

In a triangle, the centroid is the point of intersection of the medians, while the circumcircle is the circle passing through all three vertices of the triangle.

The isogonal conjugate of a point with respect to a triangle is a point that lies on the reflections of the triangle's sides with respect to the angle bisectors. In the case of the circumcircle and centroid, the isogonal conjugate of the centroid is the circumcenter, and the isogonal conjugate of the circumcenter is the orthocenter.

Now, when the Simpson's line passes through its own pole, it means that the pole (orthocenter) must lie on the circumcircle of the triangle. Since the circumcircle passes through all three vertices of the triangle, it follows that the pole (orthocenter) must be one of the vertices of the triangle.

Therefore, if a Simpson's line goes through its own pole, the pole must be one of the vertices of the triangle.

Learn more about triangle

brainly.com/question/2773823

#SPJ11

Answer:

45

Step-by-step explanation:

7x3=21

6x4=24

21+24=45

Answer:

It is correct!!

Step-by-step explanation:

Answer: A 3(5x-8)

Step-by-step explanation: 3 times 5x is 15x and 3 times -8 is -24

Answer:

they are all false

Step-by-step explanation:

Answer:

118

Step-by-step explanation:

because it says: if m < 11 = *118*

There are 6,158,592 ways to place the passengers into the vans.

Since each van has 9 passenger seats and there are a total of 10 people, it is not possible to place all of them in one van.

Thus, we need to consider two cases:

9 people in the blue van, 1 person in the red van.

There are 10 ways to choose the person who will ride in the red van, and the remaining 9 people will go in the blue van.

There is only 1 way to arrange the passengers in the red van, and 9! ways to arrange the passengers in the blue van.

The total number of ways for this case is:

10 x 9! = 3,628,800

8 people in the blue van, 2 people in the red van.

There are 45 ways to choose the two people who will ride in the red van, and the remaining 8 people will go in the blue van.

There are 2 ways to choose which person will sit in which seat in the red van, and 8!/(2!6!) ways to arrange the passengers in the blue van.

The total number of ways for this case is:

45 × 2 × (8!/2!6!) = 45 × 2 × 28 × 7! = 2,529,792

The total number of ways to place the passengers into the vans is:

3,628,800 + 2,529,792 = 6,158,592

For similar questions on passengers

https://brainly.com/question/30804093

#SPJ11

You spent $64.95 or $65

Step-by-step explanation:

As per given conditions,

\(75 \times (8.25 \: percent+ 1) \times (1 - 20 \: percent)\)

\( = > 75 \times( \frac{8.25}{100} + 1) \times (1 - \frac{20}{100}) \)

\( = > 75 \times (0.0825 + 1) \times (1 - 0.2)\)

\( = > 75 \times 1.0825 \times 0.8\)

\( = > 64.95\)

If you round off to the nearest, then you get $65

~Benjemin360

Answer:

Number of dimes Sandy has = (20 - x)

Step-by-step explanation:

Let the number of nickels Sandy has = N

And the number of dimes she has = D

Total number of coins she has = 20

N + D = 20 ------(1)

If she has the number of nickels = x

Therefore, expression that represents the number of dimes she has will be

x + D = 20

D = (20 - x)

Number of dimes Sandy has = (20 - x)

The linear function that models the taxi fare F as a function of the number of miles driven, m can be written as:

F(m) = 2.30 + 0.40(5m - 0.25)

where 5m - 0.25 represents the total distance traveled in fifth of a mile.

To break this down, we start with the base fare of $2.30 for the first quarter of a mile, which is 1.25 fifth of a mile. Then we add the additional distance traveled beyond the first quarter of a mile, which is given by 5m - 0.25. We multiply this by the per-fifth-of-a-mile charge of $0.40.

For example, if a customer travels 2 miles, then the total distance traveled in fifth of a mile would be 10. So, the fare would be:

F(2) = 2.30 + 0.40(5(2) - 0.25) = 2.30 + 3.95 = $6.25

This means that the taxi fare would be $6.25 for a 2-mile ride with the Topology taxi company.

Learn more about linear function

https://brainly.com/question/15602982

#SPJ4

Answer:

7/10

Step-by-step explanation:

To find the area of a rectangle you need to mulitiply the length and the width.

Length= 7/8.

Width= 4/5

7/8 × 4/5= 7/10.

No , it is not possible to form a triangle with side lengths 3.5, 3.5, and 9 , because of the rule that sum of any two sides must be greater than other side. So, Option D is correct.

A triangle is a two-dimensional shape formed by three line segments connecting three points. In order to form a triangle, a necessary and sufficient condition is that the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the triangle inequality theorem.

If the sum of the lengths of any two sides is less than or equal to the length of the third side, then the three line segments will not be able to form a closed shape, and therefore cannot form a triangle.

In the case of the triangle with side lengths 3.5, 3.5, and 9, the sum of the lengths of the first two sides is 7, which is less than the length of the third side, 9. Hence, these three side lengths do not satisfy the triangle inequality theorem, and therefore cannot form a triangle.

In general, to determine the type of triangle that can be formed with three given side lengths, it is necessary to compare the lengths of the sides and check if any two sides are equal in length (isosceles), or if all three sides are equal in length (equilateral). If none of the sides are equal, then the triangle is called scalene.

In this case, since it is not possible to form a triangle with the given side lengths, it is not possible to determine the type of triangle that would be formed.

To learn more about triangle click on,

https://brainly.com/question/21228157

#SPJ4