Answers
Answer:
1
Step-by-step explanation:
The answer is simply 1 as the leading term, x^4 has a coefficient of 1.
Related Questions
Work out the circumference of this circle with radius 7.5cm
Take pi to be 3.142
Answers
Explanation:
C = 2 x pi x r
C = 2 x pi x 7.5
C = 15 pi
Answer: 47.12cm (rounded to 2dp)
Explanation:
C = 2 x pi x r
C = 2 x pi x 7.5
C = 15 pi
C = 47.1238898
C = 47.12 (2 dp)
Answer:
15pi cm or 47.12
Step-by-step explanation:
Radius= 7.5cm
7.5 x 2 = 15
diameter= 15cm
circumference = pi x diameter
circumference= pi x 15
=15pi cm or 47.12
a boat can travel 45 miles on 5 gallons of gasoline how much gasoline will it need to go 297 miles
Answers
Answer:
it will have 56 gallons
Step-by-step explanation:
A group of people went to a restaurant.
Each person chose one starter and one main course.
starter
main course
soup
lasagne
prawns
curry
the number of people who chose soup: the number of people who chose prawns = 2:3
Of those who chose soup,
the number of people who chose lasagne : the number of people who chose curry = 5:3
Of those who chose prawns,
the number of people who chose lasagne : the number of people who chose curry = 1:5
What fraction of the people chose curry?
Answers
Answer:
The fraction of the people who choose curry = [tex]\frac{13}{4}[/tex]
Step-by-step explanation:
As given,
Starter Main course
Soup Lasagna
Prawns Curry
The number of people who choose soup: the number of people who choose prawns = 2 : 3
Of those who chose soup,
The number of people who choose Lasagna : the number of people who chose curry = 5 : 3
Of those who chose prawns,
The number of people who chose Lasagna : the number of people who chose curry = 1 : 5
Let total number of people goes to restaurant = 5x
People who choose soup = [tex]\frac{2}{5}[/tex]×5x = 2x
People who choose prawns = [tex]\frac{3}{5}[/tex]×5x = 3x
Now, given,
Of those who choose soup,
The number of people who choose Lasagna : the number of people who chose curry = 5 : 3
So,
People who choose Lasagna after choosing soup = [tex]\frac{5}{8}[/tex]×2x = [tex]\frac{5}{4}x[/tex]
People who choose Curry after choosing soup = [tex]\frac{3}{8}[/tex]×2x = [tex]\frac{3}{4}x[/tex]
Also, given,
Of those who chose prawns,
The number of people who chose Lasagna : the number of people who chose curry = 1 : 5
So,
People who choose Lasagna after choosing prawns = [tex]\frac{1}{6}[/tex]×3x = [tex]\frac{1}{2}x[/tex]
People who choose Curry after choosing prawns = [tex]\frac{5}{6}[/tex]×3x = [tex]\frac{5}{2}x[/tex]
So,
Total number of people who choose curry = [tex]\frac{3}{4}x[/tex] + [tex]\frac{5}{2}x[/tex] = [tex]x ( \frac{3}{4} + \frac{5}{2} ) = x (\frac{3 + 10}{4} ) = x ( \frac{13}{4} ) = \frac{13}{4}x[/tex]
So ,
The fraction of the people who choose curry = [tex]\frac{Total number of people who choose curry}{Total number of people who go to restaurant} = \frac{\frac{13}{4} x}{x} = \frac{13}{4}[/tex]
Need help wit this- pic below
Answers
9514 1404 393
Answer:
x = 12
Step-by-step explanation:
We can find x using either the measure of angle B, or the measure of angle A.
Using A, we have ...
48 = x^2 -8x
Adding 16 completes the square:
64 = x^2 -8x +16 = (x -4)^2
Then the positive solution is ...
√64 = x -4
x = 4 +8 = 12
The triangles are similar when x=12.
__
Check
We expect angle B to be 84° when x=12:
(x^2 -5x) = x(x -5) = 12(7) = 84 . . . . as needed
What is the minimum depth of the water in the pool?
1 foot
2 feet
3 feet
4 feet
Answers
Answer:
1 foot
Step-by-step explanation:
The minimum value is the lowest y-value on the graph. The graph shows that at 6 hours there is only 1 foot of water in the pool. In this case, the y-values never go below 1, this must mean that 1 is the minimum.
The length of each side of parallelogram RSTU is multiplied by three to create parallelogram WXYZ.
What is the ratio of the area of parallelogram RSTU to the area of parallelogram WXYZ?
A.1:3
B.1:6
C.1:9
D.1:27
E.1:81
Answers
Answer:
I believe A?
Step-by-step explanation:
Determine the greatest common factor of the given expressions.
75m^4p^6(-m + n)
65m^4 n^5(-m + n)^5
Answers
Answer:
75m^4 p^6
Step-by-step explanation:
Triangle Sum Theorem Review The following is a review of an important theorem from first semester. Please complete problems 2-4 and submit. Problem 1 is done for you to model the theorem as a review.
Answers
9514 1404 393
Answer:
see the attachment
Step-by-step explanation:
The sum of angles is 180°, so the value of x is found by subtracting the given angles from 180°.
For example, ...
2. x = 180° -23° -68° = 89°
__
When a number of similar calculations are required, I like to enter the formula once and let a spreadsheet do the math. In the attached, the units of x are degrees. The problems are in order 1–4.
What is the volume of the rectangular prism?
Answers
Answer:
15 0/0
Step-by-step explanation:
15 cubes on each side which totals to 30 cubes. To get the volume 15 cm multiply 30 x 1/2 = 15 the amount of volume
Answer:
15[tex]cm^{3}[/tex]
Step-by-step explanation:
ok...each of those boxes are 1/2 cm
What is the easiest thing to do is to count the front of the rectangular prism and there are 15 cubes. Now double it, and you get 30 cubes, now since each cube is 1/2 or 0.5, we get can do 0.5 x 30 and we get 15
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Andre says that x is 7 because he can move the two 1s with the x to the other side.
Do you agree with Andre?
Answers
The image necessary to answer this question is below in the attachment.
Answer: No.
Step-by-step explanation: For this hanger to be in equilibrium, both sides have to equal.
The diagram can be represented as
x + 1 + 1 = 1 + 1 + 1 + 1 + 1
x + 2 = 5
x = 3
So, for this hanger to work, x = 3.
Find the missing dimension
Height.
Answers
Answer:
x = 18
Step-by-step explanation:
So, we know that the formula for volume is the base of the shape * height. So, 6x is the area of the base because the area of a triangle is (l * W)/2. Next, we have to multiply 6x by the height of the shape. The height is 6, so the volume of the shape will 36x. Since we have the actual volume, all we have to do is divide 648/36 to get 18.
The table gives information about the lengths of time, in hours, some children
spent watching TV last week.
Length of time (7) Frequency
0
8
3
3
10
15
15
10
20
11
2
Frequency density
Draw a histogram for
the information in the table.
1
0+
0
10
30
40
20
Length of time (t)
Answers
Answer:
Step-by-step explanation:
The histogram of the distribution plotted with the frequency density on the y - axis and the interval for the length of time on the x - axis is attached below.
The first bar denotes the length of time between 0 and 10 having a frequency of 8 The second bar denoted the interval between 10 and 15 with a frequency of 15 The third bar denoted the interval between 15 and 20 with a frequency of 10The fourth bar denoted the interval between 20 and 30 with a frequency of 11Therefore, the histogram of the distribution is attached below.
Learn more :https://brainly.com/question/14421716
A major corporation is building a 4,325-acre complex of homes, offices, stores, schools, and churches in the rural community of Glen Cove. As a result of this development, the planners have estimated that Glen Cove's population (in thousands) t years from now will be given by
(25t2 + 150t + 100)/(t2 + 6t + 24)
A) Find the rate at which Glen Cove's population is changing with respect to time.
B) What will be the population after 10 years?
C) At what rate will the population be increasing when t = 10?
Answers
Answer:
See explanation
Step-by-step explanation:
We have that;
P(t) = (25t2 + 150t + 100)/(t2 + 6t + 24)
a) rate at which Glen Cove's population is changing with respect to time.
dP/dt = (t^2 + 5t + 40) (50t + 125) - (25t^2 + 125t + 200) (2t + 5)/(t^2 + 5t + 40)^2
dP/dt = 1000t + 3000/(t^2 + 6t + 24)^2
b) population after 10 years
P(t) = (25t2 + 150t + 100)/(t2 + 6t + 24)
P(t) =(25(10)^2 + 150(10) + 100)/((10^2 + 6(10) + 24)
P(t) = 4100/184
P(t) = 22283
c) when t = 10
dP/dt = 1000t + 3000/(t^2 + 6t + 24)^2
dP/dt = 1000(10) + 3000/(10^2 + 6(10) + 24)^2
dP/dt = 13000/33856
dP/dt = 0.384
The length of a rectangle is 2ft longer than its width.
If the perimeter of the rectangle is 40ft , find its area.
Answers
We know that the perimeter includes four sides. Divide the 40 by 4. You will get 10. Four sides of ten would get you a perimeter of 40. Now take two tens, one for the length and the width. Add 2 to one side and subtract 2 from the other. This will get a length of 12 and a width of 8. Than multiply the 12 and 8 to get the area. You will get 96.
Select the algebraic expression for the word expression.
24 less than h
24 - h
24 - h
h - 24
h - 24
24 ÷ h
24 ÷ h
h
Answers
Step-by-step explanation:
The Answer Is 24 - h
As, 24 Is Less Than "h"
state whether the two triangles are similar, and if so, by which theorem? justify your answer
Answers
Answer:
it's a congruent triangle and the scale factor is 2
Step-by-step explanation:
i don't know what you mean by theorems if you mean circle theorems well that obviously is not a circle so it's not one.
Ramon was plotting the coordinates of a polygon. He has plotted the coordinates of the polygon shown below. What is the area of Ramon's
polygon?
1. Point A (2.5)
2. Point B (8,5)
3. Point C (8,9)
4. Point D (5,7)
5. Point E (2.9)
V
E
C
9
8
D
7
6
ke
5
A
B
4
3
2
1
5
6
7
8
9.
Answers
Answer:
Area of polygon = 18
Step-by-step explanation:
the given points are :
Point A (2.5)
Point B (8,5)
Point C (8,9)
Point D (5,7)
Point E (2,9)
Firstly , create the array
A 2 5
B 8 5
C 8 9
D 5 7
E 2 9
A 2 5
Now,
Multiply the x coordinates of each vertex by the y coordinate of the next vertex . and then add the result.
⇒ 10 + 72 + 56 + 45 + 10 = 193 .......(1)
Now,
Multiply the y coordinate of each vertex by the x coordinate of next vertex. then add the result
⇒ 40 + 40 + 45 + 14 + 18 = 157 ........(2)
Now, Subtract equation (2) from equation (1), we get
193 - 157 = 36
Now, Divide by 2 to get the area of polygon
∴ we get
Area of polygon = 18
You have 4.5 pounds of egg whites. You need 8 oz to make one serving of consomme. How many can you
Answers
Question 4 Not Yet Answered Points Out Of 1.00 You Have 4.5 Pounds Of Egg Whites. You Need 8 Oz To Make One Serving Of Consomme. How Many Servings Can You Make? Answer: Swer
swer
Find the X and Y intercept of line 2x+3y=-12
X-intercept -
Y- Intercept-
Answers
Answer:
Let us rearrange 3y=-2x-12y=-2/3x-4 So y intercept is -4 I also do exams and quizzes if your interested :)In the triangle below,
y = [ ? ]°. Round to the nearest
tenth.
ly
8 cm
90°
X
10 cm
I
Enter
Answers
9514 1404 393
Answer:
51.3°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides of a right triangle.
Here, you're given the side opposite angle y and the side adjacent to it. This suggests that the TOA relationship is most useful:
Tan = Opposite/Adjacent
tan(y) = (10 cm)/(8 cm) = 1.25
Then the angle is found from the inverse tangent function:
y = arctan(1.25)
y ≈ 51.3°
Average of 5 numbers is 7. Four of the numbers are 3, 5, 7 and 9. Find the 5th number is
Answers
If you had a million dollars what would you do with it?????
PLZ don't report...
Answers
Answer:
a huge mansion out somehwere in europe or go traveling around the world
Step-by-step explanation:
can you imagine wow
Answer:
I would give some to people who are homeless and need help paying rent and ig get a mansion.
Step-by-step explanation: Ty for free pointz. Have a great day!
Change 8.94 into a fraction
Answers
Answer:
447 / 50
Step-by-step explanation:
447 / 50 Because if you divide it you will get 8.94 same answer
Answer:
inproper fraction would be 447/50 but the proper fraction would be 8 47/50
You bought a new car for $18,500. The
value of the car depreciates 4.6% annually.
How much will your car be worth in 5
years? (HINT: How many decimal places
are in money?)
Answers
Answer:
14,245
Step-by-step explanation:
First you find 4.6% of 18,500 which is 851. Then you multiply 851 by the years, which is 5, and you get 4255. Lastly just subtract 4255 from 18500.
Solve for w. -2 > W - 12
Answers
Answer:
10 > w
Step-by-step explanation:
-2 > w-12
Add 12 to both sides of the equation in order to isolate w
-2+12 > w-12+12This will cancel out 12 on the right side of the inequality as well as give the value of w on the left side of the inequality.
10 > wRobert mixed 113 liters of blue paint with 123 liters of red paint to make 3 liters of purple paint. To make a new batch of purple paint he used 2 liters of red paint. Using the same ratio, Robert should use Response area liters of blue paint .
Answers
Answer:
[tex]Blue =1\frac{3}{5}[/tex]
Step-by-step explanation:
Given
[tex]Blue = 1\frac{1}{3}[/tex]
[tex]Red = 1\frac{2}{3}[/tex]
Required
Determine the amount of blue paint when Red = 2
To do this, we make use of the following equivalent ratios
[tex]Ratio = Blue : Red[/tex]
When [tex]Blue = 1\frac{1}{3}[/tex] and [tex]Red = 1\frac{2}{3}[/tex]
[tex]Ratio = 1\frac{1}{3} : 1\frac{2}{3}[/tex]
When Red = 2
[tex]Ratio = Blue : 2[/tex]
Equate both ratios
[tex]Blue : 2 = 1\frac{1}{3} : 1\frac{2}{3}[/tex]
Convert to division
[tex]\frac{Blue}{2} =1\frac{1}{3} / 1\frac{2}{3}[/tex]
Convert fractions to improper fraction
[tex]\frac{Blue}{2} =\frac{4}{3} / \frac{5}{3}[/tex]
[tex]\frac{Blue}{2} =\frac{4}{3} * \frac{3}{5}[/tex]
[tex]\frac{Blue}{2} =\frac{4}{5}[/tex]
Make Blue the subject
[tex]Blue =\frac{4}{5}*2[/tex]
[tex]Blue =\frac{8}{5}[/tex]
[tex]Blue =1\frac{3}{5}[/tex]
sophie uses 18 beads to make a neckalace , 3/6 of the beads are purple
Answers
Answer:
9 beads are purple
Step-by-step explanation:
we know that
To find out how many beads are purple, multiply the total beads by the fraction of the beads that are purple
so
therefore
9 beads are purple
Another way to solve the problem is convert the fraction in percentage
we have
so
If the total are 18 beads
50% is 9 beads
therefore
9 beads are purple
What is an equivalent expression for 3(x-12)? *
O
3x-12
3x+12
O
3x-36
3x+36
Answers
3x - 36
Answer:
3x-36 is equivalent to 3(x-12)
A prize was awarded to 24 women and 1010 men.
a. What fraction of the prize winners were women?
b. What fraction were men?
Answers
Answer:
[tex]W = \frac{12}{17}[/tex] -- Women
[tex]M = \frac{5}{17}[/tex] --- Men
Step-by-step explanation:
Given
[tex]Men = 10[/tex] --- not 1010
[tex]Women = 24[/tex]
Solving (a) Fraction of Women
This is calculated as:
[tex]W = \frac{Women}{Men + Women}[/tex]
Substitute values for Women and Men
[tex]W = \frac{24}{10+24}[/tex]
[tex]W = \frac{24}{34}[/tex]
Simplify fraction
[tex]W = \frac{12}{17}[/tex]
Solving (b) Fraction of Men
This is calculated as:
[tex]M = \frac{Men}{Men + Women}[/tex]
Substitute values for Women and Men
[tex]M = \frac{10}{10+24}[/tex]
[tex]M = \frac{10}{34}[/tex]
Simplify fraction
[tex]M = \frac{5}{17}[/tex]
what is the 3rd quartile of the daily high temperature in atlanta for one month
61,61,63,64,65,66,66,67,68,70,70,70,71,71,72,74,74,74,75,75,75,76,76,77,78,78,79,79,94