MATHEMATICS HIGH SCHOOL

What is the given equation in logarithmic form of
7^4=2,401?

Answers

Answer 1
Answer: 7^4=2,401\ \ \ \Leftrightarrow\ \ \ log_72.401=4
Answer 2
Answer: log(base 8/7) (2401/4096) = -4

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Simplify the expression. -14 x 8 x 1/4 + (-22) a. –50
b. –138
c. –470
d. –6

Answers

-14 x 8 x 1/4 + (-22)

Apply BODMAS

Open the brackets:
-14 x 8 x 1/4 + (-22) = -14 x 8 x 1/4 -22

Division
-14 x 8 x (1/4) - 22 = -14 x 8 x 0.25 - 22

Multiplication
(-14 x 8 x 0.25 )- 22 = -28 - 22

Subtraction
-28-22 = -50

Correct answer: A <-50>

Jalen gets 3 paid vacation days for every 60 days he works. Select all of the expressions that represent the number of vacation days gets per x days worked. (A) x/20 (B) 3/60x (C) x/3 (D) 0.05x (E) 20x

Answers

Answer:

A and D

Step-by-step explanation:

In this question, we are asked to select the expressions that represent the number of vacation days per x days worked.

Now, to do this, what we simply first do is to get the number of days to takes to get one paid vacation. In the question , we are made to know that he gets 3 days paid vacation for 60 days of work. The number of days to get a single paid vacation would thus be 60/3 = 20 days. This means she gets one paid vacation in 20 days.

Now, we are told after working for x days, how many paid days vacation does she get. To know this, what we do is to first know the number of 20 days in x days. That would simply be x/20. This is the number of vacation days she gets in x days.

now, we check if there are similar options to this.

D is also correct. This is because x/20 is same as 0.005x

Simplify 8(R + 6) - 2R

Answers

8(R + 6) - 2R,8R + 48 - 2R,The result is 6R + 48

If the endpoints of AB have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of AB?

Answers

The midpoint of a line segment given the coordinates of the endpoints may be obtained by getting the average of the two abscissas and ordinates. With the given above, the average of the abscissas is 4 and that of the ordinates is 3. Thus, the midpoint is at (4, 3). 

Answer and Step-by-step explanation:

Answer:

The cross section will be an isosceles triangle

Step-by-step explanation:

The image of the inquiry in the joined figure N 1

we realize that

On the off chance that a plane goes through the pivot of revolution of the cone, at that point the resultant cross-area will be a triangle with one vertex as the vertex of the cone and the different sides of the triangle through the vertex A will be equivalent.

Where the base of the triangle will be equivalent to the breadth of the round base of cone and the two compatible sides of triangle will be equivalent to the inclination tallness of the cone

hence

The cross segment will be an isosceles triangle

Scott has 1/3 as many computer games as Anish, and Anish has 1/2 as many games as Nick. Together they have 140 games. How many do they have each?Scott has.......
Anish has.......
Nick has........

Answers

Anish has 42 games, Scott has 14 games, and Nick has 84 games

What is the solution set of {x | x < -3} ∪ {x | x > 5}

Answers

The union of two sets is defined as all elements that are members of both sets.

The first set evaluuates to (...,...,...-7,-6,-5,-4) and the second eveluates to (6,7,8,9,...,...).

There are no elements that belong to both sets so the solution is the empty set. {∅}

Another way is to think about it in words: "What number(s) are less than -3 and also greater than 5?" There are no numbers that fit both of these.
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