Answer:
83, 84, 85
Step-by-step explanation:
which is the simplified form of the expression ((p^2)(q^5))^-4•((p^-4)(q^5))^-2
(p ² q ⁵) ⁻⁴ (p ⁻⁴ q ⁵) ⁻²
= (p ⁻⁸ q ⁻¹⁰) (p ⁻⁸ q ⁻¹⁰)
= p ⁻¹⁶ q ⁻²⁰
E 4) In the diagram below, the dimensions of the large rectangle are (3x-1) by (3x+7) units. The dimensions of the cut-out rectangle are x by (2x+5) units. Which choice expresses the area of the shaded region, in Square units?
Answer:
Option (D)
Step-by-step explanation:
Area of a rectangle = Length × width
Area of large rectangle = (3x - 1)(3x + 7) square units
= (9x² + 21x - 3x - 7)
= 9x² + 18x - 7
Area of small rectangle = (2x + 5)x
= (2x² + 5x) square units
Area of the shaded region = Area of large rectangle - Area of small rectangle
= (9x²+ 18x - 7) - (2x² + 5x)
= (9x² - 2x²) + (18x - 5x) - 7
= (7x² + 13x - 7) square units
Therefore, Option (D) will be the correct option.
The expression that represents the area of the shaded region is:[tex]7x\² + 13x - 7[/tex]
The dimension of the big rectangle is given as:
Length: 3x - 1Width: 3x + 7So, the area of the rectangle is:
[tex]Area = Length \times Width[/tex]
[tex]Area= (3x - 1) \times (3x + 7)[/tex]
Expand
[tex]Area = 9x\² + 21x - 3x - 7[/tex]
[tex]Area = 9x\² + 18x - 7[/tex]
The dimension of the small rectangle is given as:
Length: 2x + 5Width: xSo, the area of the rectangle is:
[tex]Area = Length \times Width[/tex]
[tex]Area= (2x + 5) \times x[/tex]
Expand
[tex]Area = 2x\² + 5[/tex]
The area of the shaded region is the difference between the area of the big and small rectangles.
So, we have:
[tex]Area = (9x\²+ 18x - 7) - (2x\² + 5x)[/tex]
Expand, and collect like terms
[tex]Area = 9x\²- 2x\² + 18x -5x- 7[/tex]
[tex]Area = 7x\² + 13x - 7[/tex]
Hence, the area of the shaded region is [tex]7x\² + 13x - 7[/tex]
Read more about areas at:
https://brainly.com/question/24487155
Solve the inequality. |2x-6|+7 <15
Answer:
the answer to your questionis (-1,7)
I hope this helps
CAN SOMEONE PLEASE HELP ME ON THIS!!?
Answer:
w = 3.5
Step-by-step explanation:
When dividing 39,100 by 100, the digits in the quotient will move how many places to the right?
When dividing 810,000 by 1,000, the digits in the quotient will move how many places to the right?
When dividing 360 by 10, the digits in the quotient will move how many places to the right?
Answer:
1. 2 places. 2. 3 places. 3. 1 place.
Step-by-step explanation:
1. Since there is 2 zeroes in 100, you move the digits 2 places to the right.
2. The same thing happens here, but with 3 zeroes.
3. The same happens, but with 1 zero.
The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centimeters, what is the length of the base, in centimeters?
Answer:
The base is 24 cm long.
Step-by-step explanation:
Equations
Let's call
b= base of the triangle
h=height of the triangle
The base is 9 cm longer than the height, thus:
b = h + 9
The area of the triangle is:
[tex]\displaystyle A=\frac{bh}{2}[/tex]
[tex]\displaystyle A=\frac{(h+9)h}{2}[/tex]
And its value is 180:
[tex]\displaystyle \frac{(h+9)h}{2}=180[/tex]
Multiplying by 2:
[tex](h+9)h=360[/tex]
Operating:
[tex]h^2+9h-360=0[/tex]
Factoring:
[tex](h-15)(h+24)=0[/tex]
The only valid positive solution is:
h = 15 cm
And b = h + 9 = 24
b = 24 cm
The base is 24 cm long.
A manufacturer wants to produce an ice cream cone with the same volume and diameter of a spherical scoop of ice cream 6cm in diameter. What should the height of the cone be?
Answer:
IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?
Step-by-step explanation:
IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?
Answer: HEY NIKHIL GARG MR. FORTNITE BATTLE ROYALE THE ANSWER IS 12
Step-by-step explanation:
TRUST BRO IF THE HEIGHT IS 12 THEN ITLL HAVE THE SAME VOLUME AS THE SPHERE, WHICH IS 36 PI
3.55. Постройте график линейной функции:
1) у = 2/3х – 4;
2) y = 2x + 6;
3) у = -1,5х – 3;
4) y = -1/2x + 1;
5) y = 5/3x - 2;
6) y = -4/3x + 2;
Answer:
4) y = -1/2x + 1;
Step-by-step explanation:
maybe
or maybe not
a box can hold 3 1/3 pounds of gold a chest can hold 2 3/5 times the amount of the box. how many pounds can the chest hold
Answer:
[tex]\frac{26}{3}[/tex]pounds
Step-by-step explanation:
Given parameters:
Mass of gold in the chest box = [tex]3\frac{1}{3}[/tex]pounds
Unknown:
Number of pounds of gold the chest can hold = ?
Solution:
The chest can hold [tex]2\frac{3}{5}[/tex]times the amount of the box ;
So;
Number of pounds of the gold in the chest can hold;
= [tex]2\frac{3}{5}[/tex] times x Mass of gold in the chest box
= [tex]\frac{13}{5}[/tex] x [tex]\frac{10}{3}[/tex]
= [tex]\frac{26}{3}[/tex]pounds
I put it at 50 pts because it will take a while plz help me
Answer:
well i am not that smart sorry i really wish i could help but i know one of the things
Step-by-step explanation:
3. what causes wind
Gases move from high-pressure areas to low-pressure areas. And the bigger the difference between the pressures, the faster the air will move from the high to the low pressure. That rush of air is the wind we experience.
sorry it took so long for me to type it
hope you have a good day sir/ma'am!!!
Determine each missing number.
a) 25% of 84 = ■
b) 24% of 200 = ■
c) 10% of ■ = 5
Fil in the squares please!!
Step-by-step explanation:
a. 25% of 84 = ?
To solve this problem;
[tex]\frac{25}{100}[/tex] x 84
25 goes in 100, 4 times
= [tex]\frac{1}{4}[/tex] x 84
= 21
b. [tex]\frac{24}{100}[/tex] x 200 = ?
100 goes in 200 , 2 times
24 x 2 = 48
c. [tex]\frac{10}{100}[/tex] of t = 5
[tex]\frac{10}{100}[/tex] x t = 5
[tex]\frac{t}{10}[/tex] = 5
t = 50
Pls ASAP solve this question
answer:
ii- 7
iii- 5
Step-by-step explanation:
sorry if its wrong im not for sure
Find the value of a and b in the following = a + b
Can someone please help, ty!!
(Will mark brainliest)
Answer:
3rd one
Step-by-step explanation:
Answer:
1 AND 3 it was hard........
The amount $3.80 is 4% of what price?
Answer:
$95
Step-by-step explanation:
3.8=4%
100÷4=25
3.8×25
If it i´snt correct sorry :(
Answer:
$3.80 is 4% of $95.
Step-by-step explanation:
To solve this problem, divide 3.8 by 0.04.
3.8 / 0.04 = 95.
To check your math, multiply 95 by 0.04.
95 x 0.04 = 3.8
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
can someone help please
Answer: m<10 less than 10 is the answer so it would be m<10
Step-by-step explanation:
What happens when you press the enter key at the end of a line of bulleted text.
Answer:
when you use to typewriter, you have to use the carriage return at the end of every line In a typewriter, the fundamental unit of display,if you like,is a line. You type a line, then use the carriage return.
the fundamental unit a Word document is a paragraph.
When you use to word processor,such as Word, you don't use the carriage return at the end of every line. You just keep typing. Type type type. Word knows where the margins are. You can see the margins, too: the dotted rectangle on the page show you where they are. Just keep typing and Word will wrap the text within the margins.
Make sure you can see when you've pressed Enter by clicking the q button on the Standard Tollbar or on the Home tab. The q is the end-of-paragraph market.It shows you when you've pressed Enter
Press Enter to indicate the end of a paragraph,not the end of a line.
Two points are selected randomly on a line of length 32 so as to be on opposite sides of the midpoint of the line. In other words, the two points X and Y are independent random variables such that X is uniformly distributed over [0,16) and Y is uniformly distributed over (16,32]. Find the probability that the distance between the two points is greater than 9.
Solution :
Let us consider the squares be [tex]$[1, 16] \times [16, 32]$[/tex]
If x ranges from the 0 to 16 and the y ranges from 16 to 32, we see that the boundary of the region[tex]$y-x \geq 9 \text{\ is}\ y - x = 9$[/tex] which goes from the [tex]$(7, 16 ) \text{ to}\ (16, 25) $[/tex].
And so it is easier to find the area of region where [tex]$ y-x \leq 9$[/tex]. This is the triangle with points [tex]$(7,16),(16,25) \text{ and}\ (16,16)$[/tex] as its vertices.
The area if the triangle is = [tex]$\frac{1}{2} \times 9 \times 9$[/tex]
= [tex]$\frac{81}{2}$[/tex]
Now the entire area is [tex]$(16)^2$[/tex] = 256
Then, [tex]$P(y-x \leq 9) = \frac{81/2}{256} =\frac{81}{512}$[/tex]
or [tex]$P(y-x \geq 9) = 1 - \frac{81}{512}=\frac{431}{512}$[/tex]
Thus the answer is [tex]$\frac{431}{512}$[/tex]
g(x) = 5x h(x) = - 11x ^ 3 + 10x ^ 2 - 2x + 5
Answer:
x(9x – 10).
Step-by-step explanation:
Help plzzz will give brainliest
Answer:
1/3 and false at least i think wait for other answer to make sure it is correct
Step-by-step explanation:
What is the formula for the area of a square?
Answer:
Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches. (Square inches can also be written in2.)
Answer:
lxwxtor you can up it in the calculator
Write the slope-intercept form of the equation for a line with slope 1/3 and y l-intercept at (0,-2/5
Answer:
y=1/3x-2/5
Step-by-step explanation:
Hi I’m confused marking Brainliest uhm show answer and show ur work pls thx
Answer:
See below.
Step-by-step explanation:
Total weekly salary:
regular weekly salary + amount from working over 40 hours
In one full week of 40 hours of work, you earn a regular salary of $340.
For each hour you work over 40 hours, you earn $12.50 per hour.
Let x = number of hours you work over 40 hours.
The amount you make from these extra hours is 12.5x
Your total weekly salary is
340 + 12.5x
You want your total weekly salary to be more than $490.
340 + 12.5x > 490
Answer:
answer
Step-by-step explanation:
Compare the degree of a polynomial and its depressed polynomial.
Answer:
The degree of a polynomial is one more than the degree of its depressed polynomial.
Step-by-step explanation:
How do you get from one number to the next using multiplication or division?
From 100 to 106
From 100 to 90
From 90 to 100
From 106 to 100
Answer:
You use decimal values. Like for the first one, multiply 100 by 0.01.
Step-by-step explanation:
The multiplication or division is 10^6/10^4
How to interpret integral multiplication?Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b
Then, their multiplication can be interpreted as:
[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]
For example,
[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]
Given;
From 100 to 10^6;
100 * 10^4 = 10^6
From 100 to 90;
100/10*9=90
From 90 to 100
90/9*10=100
From 10^6 to 100
10^6/10^4=100
Therefore, by multiplication or division will be 10^6/10^4
Learn more about multiplication here:
https://brainly.com/question/26816519
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25 students are working in groups on a science project age group can have either two or three students in it what is the fewest number of groups there could be
Answer:
I believe 9
Step-by-step explanation:
25-21=4 (21 is 7×3)
4-4=0 (2×2)
The fewest number of groups are 9.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
25 students are working in groups on a science project, age group can have either two or three students in it.
To find the fewest number of groups:
25 divided by 3 we get remainder 1.
But 1 student can not form a group.
So, we have to find the remainder number that can form a group or groups.
25 divided by 3,
we get quotient 7 and 4 remainder.
And 4 means, 2 groups of 2 students in each.
That means, the number of groups are 7+2 = 9
Therefore, 9 is the required number.
To learn more about the division;
https://brainly.com/question/13263114
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Write an equation to match this graph
Answer:
its y=x+7
Step-by-step explanation:
How to solve
2(-3x + 4) = 5x + 2
Answer:
x = 6/11
Step-by-step explanation:
2(-3x + 4 ) = 5x + 2
-6x + 8 = 5x + 2
- 2 - 2
-6x + 6 = 5x
+6x +6x
6 = 11x
/11 /11
6/11 = x
Solve for x
2x+5 = 32
Answer:
x=13.5
Step-by-step explanation:
Perform the same operation on each side:
2x+5 = 32
2x = 27
x = 13.5
So, x is 13.5
Given:x+=9 prove x=4
Reasonable Answer:
If x is 4, then the answer is 13 or 5.
Step-by-step explanation:
9-4=5
For another reason it's 13.
4 minus 13 =9
~~~Hope this helps~~~:)
