Answer:
4.33333333
you first have to add all the numbers together then divide by how many numbers there are (6) then subtract the sum of all 6 number from their original number , then add all those then divide by 6 again . (sorry if i did the math wrong you can check it)
Without actual division, prove that 2x^4 - 5x^3 + 2x^2 - x + 2 is divisible by x^2 + 3x + 2.
Answer:
Thinking Process
(i) Firstly, determine the factors of quadratic polynomial by splitting middle term.
(ii) The two different values of zeroes put in bioquadratic polynomial.
(iii) In both the case if remainder is zero, then bioquadratic polynomial is divisible by
quadratic polynomial.
Answer:
2x⁴ - 5x³ + 2x² - x + 2=
2x²(x²-3x+2) +x³-2x² -x +2=
2x²(x²-3x+2) + x(x²-3x+2) +x² -3x +2=
(x²-3x+2)(2x²+x+1)
since x²-3x+2 is the factor of the given polynomial, we can state the polynomial is divisible by x²-3x+2
-------------
note: x²+3x+2 is not the factor of the given polynomial
Suppose that a storm front is traveling at 33 mph. When the storm is 13 miles away a storm chasing van starts pursuing an average speed of 54 mph. How long does it take for the van to catch up with the storm? How far have they driven? (Hint: we can let our two variables be x= distance and t= time. Additionally, [speed x time= distance]. Won't the van catch up when the distances are equal?
Answer:
It takes 0.619 hours (approximately 37 minutes) for the van to catch up with the storm.
They have driven 33.43 miles
They will catch up when their distances are equal.
Step-by-step explanation:
The speed of the van is 54 mph, and the speed of the storm is 33 mph. They are going in the same direction, so the relative speed is the difference of their speeds:
relative speed = 54 - 33 = 21 mph
Now, to find the time when the van reaches the storm, we just need to use the equation:
distance = speed * time
13 = 21 * t
t = 13 / 21 = 0.619 hours
The distance traveled by the van is:
distance = 54 * 0.619 = 33.43 miles
The van will catch up when the distances are equal (the distance of the storm is 13 + 33*0.619 = 33.43 miles)
use the vector w=3\sqrt(2)i+\sqrt(2)j to find 2w
Answer:
The answer is "[tex]\bold{6\sqrt(2)i+2\sqrt(2)j)}[/tex]"
Step-by-step explanation:
Given:
[tex]w=3\sqrt(2)i+\sqrt(2)j[/tex]
To Find:
2w=?
Solution:
[tex]\Rightarrow 2w= 2\times w\\\\\Rightarrow 2w= 2\times (3\sqrt(2)i+\sqrt(2)j)\\\\\Rightarrow 2w= 6\sqrt(2)i+2\sqrt(2)j)\\[/tex]
umm what are the answers for :
21% of 36570
12.2% of 640
87.5% of 860
37.5% of 3200
awwwww pls help meh!!! i need to know asap...please..try help!!...thank u sooo much!!
lu yall..pls help!!!
Step-by-step explanation:
21% of 36570
21/100 x 36570 = 7679.7
12.2% of 640
12.2/100 x 640 = 78.08
87.5% of 860
87.5/100 x 860 = 752.5
37.5% of 3200
37.5/100 x 3200 = 1200
What is the perimeter of the triangle?
Answer:
P = 36 units
Step-by-step explanation:
Pythagoras
ip = √(12² + 9²)
= √(144 + 81)
= √225
= √15²
= 15 units
P = 9units + 12units + 15units = 36 units
Use the table to find the experimental probability of spinning a number less than 2. Write your answer as a fraction.
Spinning a Spinner
Number spun Times spun
1 7
2 10
3 8
4 8
5 8
6 9
Answer:
The experimental probability of spinning a number less than 2
P( x<2) = 0.14
Step-by-step explanation:
Given data table
x 7 10 8 8 8 9 = total 50
P(X=x) [tex]\frac{7}{50} = 0.14[/tex] [tex]\frac{10}{50} = 0.2[/tex] [tex]\frac{8}{50} = 0.16[/tex] [tex]\frac{8}{50} = 0.16[/tex] [tex]\frac{8}{50} = 0.16[/tex] [tex]\frac{9}{50} = 0.18[/tex]
Sum of the probabilities is equal ∑x P(x=x)
= 0.14 +0.2 +0.16 +0.16+0.16 +0.18
=1
Given data table
spinning
a spinner 1 2 3 4 5 6
x 7 10 8 8 8 9
P(X=x) 0.14 0.2 0.16 0.16 0.16 0.18
The experimental probability of spinning a number less than 2
P( x<2) = P( x=0) +P(x=1)
= 0 + 0.14
The experimental probability of spinning a number less than 2
P( x<2) = 0.14
Look at pic plzzzzzz
Answer: 10.35 miles per hour
Step-by-step explanation:
[tex]\dfrac{63,756\ feet}{70\ minutes}\times \dfrac{1\ mile}{5280\ feet}\times \dfrac{60\ minutes}{1\ hour}=\dfrac{(63,756)(60)\ miles}{(70)(5280)\ hour}=\dfrac{10.35\ miles}{hour}[/tex]
Michelle and her family went out to dinner. Their bill, after tax, came to $40. They want to leave a 15% tip. How much money should they leave for the tip? .
Answer:
tip is $6
Step-by-step explanation:
multiply 40 by 0.15 so 6
Work out the surface area of the solid cuboid. The diagram is not drawn to scale.2cm,4cm and 5cm
The surface area of the solid cuboid is 76 cm²
Calculating the surface area of a cuboidFrom the question, we are to determine the surface area of the cuboid
The surface area of a cuboid is given by the formula,
Surface area = 2(lb + lh + bh)
Where l is the length
b is the breadth
and h is the height
Let
l = 5 cm
b = 4 cm
h = 2cm
Then,
Surface area = 2(5×4 + 5×2 + 4×2)
Surface area = 2(20 + 10 + 8)
Surface area = 2(38)
Surface area = 76 cm²
Hence, the surface area of the solid cuboid is 76 cm²
Learn more on Calculating the surface area here: https://brainly.com/question/26403859
#SPJ1
A number is increased by 2 and then multiplied by 3. The result is 24. What is this number
Answer:
The answer is 6.
Step-by-step explanation:
To find this answer, divide 24 by 3 and you get 8. 8 minus 2 is 6.
A gardener made a scale drawing of a lawn with a scale factor of 1:10. The
dimensions of her drawing are 7 inches long by 3 inches wide. Her partner plans
to make another scale drawing of the lawn, but with a scale factor of 1:2.
What are the dimensions of her scale drawing?
5 of 16 QUESTIONS
The length is 0.6 inch and the width is 1.4 inches.
The length is 15 inches and the width is 35 inches.
The length is 35 inches and the width is 15 inches.
The length is 1.4 inches and the width is 0.6 inch
SUB
Answer:
The length is 35 inches and the width is 15 inches.
Step-by-step explanation:
First work of the real length of the field. Given is the ratio of drawing to original and the dimensions of the drawing. so in real life the lawn measures 70 inches in length and 30 inches in width.
Now, we have to divide this in the ratio 1:2, which gives
The length of 35 inches and the width of 15 inches.
Hope this helps
Answer:
Your answer is 3 or C.. 35 inches and width of 15 :)
Step-by-step explanation:
Joshua has $4,200 to invest for college. If Joshua invests $4,200 for 3 years and earns $630, what is the simple interest rate? Joshua's goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of return of 6%? Explain.
Answer: Yes it's possible for Joshua to meet his goal of having $5,000 after 4 years.
Step-by-step explanation:
From the question, Joshua has $4,200 to invest for college which he invests $4,200 for 3 years and earns $630.
Interest = (Principal × Rate × Time)/100
630 = (4200 × R × 3)/100
630 = 12600R/100
12600R = 630 × 100
12600R = 63000
Interest rate =63000/12600 = 5%
Joshua's goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of return of 6%?
Interest = (Principal × Rate × Time)/100
Interest = (4200 × 6 × 4)/100
= 100800/100
= $1008
At the end of 4 years, Joshua will have:
= $4200 + $1008
= $5208
Yes it's possible.
4. Two non-common sides of adjacent, complementary angles form
a) a straight angle
b) a reflex angle
c) a right angle
d) a linear pair
Answer:
c) a right angle
Step-by-step explanation:
A right angle can be defined as angles that are created or formed by two non-common sides of adjacent, complementary angles.
These angles have the following attributes:
a) They are angles that are complementary angles. This means that the sum of these angles is equal to 90°
b) The angles are adjacent complementary angles: These means that the angles are next to each other.
Two non-common sides of adjacent, complementary angles form a right angle because they have a common vertex and arm.
Answer:
a right angle
Step-by-step explanation:
Getaway Travel Agency surveyed a random sample of 454545 of their clients about their vacation plans. Of the clients surveyed, 212121 expected that they would go on 333 vacations in the next year. There are 516516516 Getaway Travel Agency clients.
Based on the data, what is the most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 333 vacations in the next year?
Answer:
The most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 3 vacations in the next year is 241.
Step-by-step explanation:
The best estimate for the proportion of clients who expect to go on 3 vacations is the same proportion of the sample.
Sample:
45 clients.
Of those, 21 expected to go on 3 vacations in the next year.
21/45 = 0.4667
Out of the 516 clients:
0.4667*516 = 240.8
Rounding up
The most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 3 vacations in the next year is 241.
A shopkeeper sold a book for $ 180.He made a profit of 20%.calculate the cost price of the book.
Please help!Am new to this chapter.
Hello!
Answer:The cost of the book is $150.
______________________________Explanation:CP = [tex]\frac{SP(100)}{100 + PP}[/tex]
Basically, what this formula is saying is that to find the cost price (CP), we must multiply the sale price (SP) by 100, and divide the product by the sum of 100 + profit percentage (PP).
CP = [tex]\frac{180(100)}{100 + 20}[/tex]
CP = [tex]\frac{18000}{120}[/tex]
CP = 150
Answer:
$150
Step-by-step explanation:
let cp=x
(20/100*x) +x=180
1/5x+x=180
6x/5=180
6x=180*5
x=(180*5)/6
x=150
Please answer asap for brainliest!!!!!
Answer:
x= 50
Step-by-step explanation:
The unknown angle is also x since we have an isosceles triangle and the bases angle are the same
The sum of the angles of a triangle are 180 degrees
x+x+80 =180
2x+80 = 180
Subtract 80 from each side
2x= 180-80
2x= 100
Divide by 2
2x/2 =100/2
x= 50
Answer:
[tex]x=50[/tex]°
Step-by-step explanation:
This is an isosceles triangle since 2 of it's sides are the same length. That means the missing angles are the same. Since a triangles' interior angles add up to 180°, we get:
(180°-80°)÷2=x°
100°÷2=x°
50°=x°
x°=50°
5. What is the value of s if 8.25s - 2.375 = 10?
1.5
8,25
8
1.7
8,25
06
8,25
093
Answer:
1
Step-by-step explanation:
8-1,2,4.....
25-1,5...
3.268 rounded to the whole number
Answer:
Brainliest goes to me!
Step-by-step explanation:
3
3.268
lets only look at 3.2 .......
3.2 is rounded down to 3
Answer:
3.268 rounds to 3
Step-by-step explanation:
Numbers less than 5 round downNumbers that are 5 or higher round upRounding to the whole number would be rounding to the One's Place2 is less than 5, so it rounds down to 3Please mark Brainliest
i need help im too lazy still :)
Answer:
w=-16
Step-by-step explanation:
divide -192 by 12 to isolate w
Answer:
w=-16
Step-by-step explanation:
20 PTS see image......................
Answer:
a-4/5+1/6 (n-1)
Step-by-step explanation:
Answer:
a-4/5+1/6 (n-1)
Step-by-step explanation:
In QRS m Q = 80 degrees m R = 65 degrees m S = 35 degrees which side of the QRS is the longest
Answer: RS
Step-by-step explanation:
A greater angle of a triangle is opposite a greater side. If angle Q is greater than angle R, then side RS is greater than side QS.
Because Q is the larger angle in the triangle, Then RS is the longest side.
Please answer this correctly
Answer:
4 days
Step-by-step explanation:
there are 8 pints in a gallon
Answer:
4 days.
please see the attached picture for full solution solution.
hope it helps
good luck on your assignment
The solutions of a quadratic equation is 8 and 2. What is the quadratic equation?
(i need help now)
Answer:
x² - 10x + 16 = 0
Step-by-step explanation:
Given the solutions x = 8 and x = 2 , then the factors are
(x - 8) and (x - 2) and the equation is
(x - 8)(x - 2) = 0 ← expand left side using FOIL
x² - 10x + 16 = 0
which expression is equivalent to y^4 -100?
Answer:
Using the difference of squares this can be rewritten as (y² + 10)(y² - 10).
Answer:
(y² + 10)(y² - 10)
Step-by-step explanation:
y^2=y^4
Find the volume of the prism.
Ramla has two full 1.5 litre bottles of water. She wants to fill as many glasses as possible with water from the bottles. Each glass can hold 180 millilitres of water.
How many glasses can Ramla completely fill?
Answer:
8 glasses
Step-by-step explanation:
Total volume : 1500 ml
Glasses capacity : 180 ml
Glasses can be filled : 1500 / 180 = 8.33
Notice it says completely fill thus it is 8 glasses
7. 5x -6 = 3x + 14
8. 6x - 11 = 4x + 3
More and last question. Thanks YISREAL and HARRIETH!!!!!. More points for you people.
Answer:
Q1. x = 10
Q2. x = 7
Step-by-step explanation:
The steps are :
Q1.
[tex]5x - 6 = 3x + 14[/tex]
[tex]5x - 3x = 14 + 6[/tex]
[tex]2x = 20[/tex]
[tex]x = 20 \div 2[/tex]
[tex]x = 10[/tex]
Q2.
[tex]6x - 11 = 4x + 3[/tex]
[tex]6x - 4x = 3 + 11[/tex]
[tex]2x = 14[/tex]
[tex]x = 14 \div 2[/tex]
[tex]x = 7[/tex]
Answer:
[tex]x=10, \: x=7[/tex]
Step-by-step explanation:
[tex]5x -6 = 3x + 14[/tex]
[tex]5x -6+6-3x = 3x + 14+6-3x[/tex]
[tex]5x -3x = 14+6[/tex]
[tex]2x=20[/tex]
[tex]x=\frac{20}{2}[/tex]
[tex]x=10[/tex]
[tex]6x - 11 = 4x + 3[/tex]
[tex]6x - 11+11-4x = 4x + 3+11-4x[/tex]
[tex]6x-4x = 3+11[/tex]
[tex]2x=14[/tex]
[tex]x=\frac{14}{2}[/tex]
[tex]x=7[/tex]
solve 2x^2-4x-18=0 by completing the square. round the solutions to the nearest hundredth
Answer:
1-√10
1+√10
Step-by-step explanation:
2x^2-4x-18=0x^2-2x-9=0x^2-2x+1-10=0(x-1)^2-10=0(x-1+√10)(x-1-√10)=0x=1-√10x=1+√10Direct variation: if y = 4, when x = -2, find x when y = 6
Answer:
-3
Step-by-step explanation:
Because when y is 4, x is 4/-2 = -2
So when y is 6,
x= 6/-2
= -3
Tessa is taking her family out to dinner and the bill is $250. She has a coupon for 15% off. After the discount is applied, she is going to add a 20% tip for their server. What is the total after the discount and the tip?
Answer:
$255
Step-by-step explanation:
250*.85=212.5
212.5*1.2=255
