Answers
Answer:
1176 cm3
Step-by-step explanation:
Related Questions
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Answers
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Find the area of a face of a rectangular prism.
What is the area of the front of the prism?
Area =
cm2
Answers
Answer:
It is L*W*H.
Width times Height
Step-by-step explanation:
I don't know what you are exactly talking about, there are no attached worksheet. But if you are talking about the formula for the rectangular prism.
Formula for rectangle prism: L*W*H
Area of the front of the prism: Width times height
Answer:
12cm2
Step-by-step explanation:
edge 2020 correct on assignment
What is the sum of these expressions: (-3.5t - 4s + 4.5) + (-7.1 - 0.3s + 4.1t)
Answers
Answer:
0.6t - 4.3s - 2.6.
Step-by-step explanation:
PEMDAS
Answer:
-4.3s+0.6t-2.6
Step-by-step explanation:
Add like terms:
-3.5t+4.1t-4s-0.3s+4.5-7.1
= 0.6t-4.3s-2.6
= -4.3s+0.6t-2.6
Find the LCM of 2, 10, and 6
Answers
Answer:
30
Step-by-step explanation:
Answer:
LCM(2,6,10)
Least Common Multiple is :
30
Calculate Least Common Multiple for :
2, 6 and 10
Factorize of the above numbers :
2 = 2
6 = 2 • 3
10 = 2 • 5
Build a prime factors table
Number of times each prime factor
appears in the factorization of :
Prime
Factor Number
2 Number
6 Number
10 L.C.M
(max)
2 1 1 1 1
3 0 1 0 1
5 0 0 1 1
LCM = 2 • 3 • 5
Least Common Multiple is :
30
Help plz!!!!! I need help
Answers
Answer: J and K
Step-by-step explanation:
[tex]\sqrt{20}[/tex] is about [tex]4.472135[/tex]
Answer:
J and K
Step-by-step explanation:
√20=4.47
4.47 is almost in between J and K in the number line.
Hence, it's J and K.
Mindi planted beans in 4/10 of her garden and peas in 5/10 of her garden. What fraction of the garden has beans or peas?
Answers
What is the area C in terms of
Answers
Hope this help
Use the ratio test to determine whether the series is convergent or divergent.2 +4/2^2 + 8/3^2 + 16/4^2 +
Answers
Answer:
The result is 2 > 1. Hence, the series diverges
Step-by-step explanation:
You have the following series:
[tex]2+\frac{4}{2^2}+\frac{8}{3^2}+\frac{16}{4^2}+...+\frac{2^n}{n^2}=\sum_{i=1}^{i=n}a_n[/tex] (1)
You use the ratio test to determine if the series is convergent or divergent. The ratios test is given by:
[tex]\lim_{n \to \infty} \frac{a_{n+1}}{a_n}[/tex] (2)
Then, you replace the series (1) in (2):
[tex]\lim_{n \to \infty} \frac{\frac{2^{n+1}}{(n+1)^2}}{\frac{2^n}{n^2}}= \lim_{n \to \infty} \frac{(2^n2)(n^2)}{2^n(n+1)^2}\\\\\lim_{n \to \infty} \frac{2n^2}{n^2+2n+1}= \lim_{n \to \infty} \frac{2n^2}{n^2[1+\frac{2}{n}+\frac{1}{n^2}]} \\\\\lim_{n \to \infty} \frac{2}{1+\frac{2}{n}+\frac{1}{n^2}}=\frac{2}{1+0+0}=2[/tex]
In the ratio test you have that if the limit is greater than 1, the series diverges.
The result is 2 > 1. Hence, the series diverges.
two consecutive integers whose product is 17
Answers
Answer:
8 and 9
Step-by-step explanation:
8 comes after 9 and 8 + 9 = 17
Which graph represents the function f(x) =1/3 |x|?
Answers
Step-by-step explanation:
f(x) = 1/3|x|
then
f(x) = 1/3x , if x ≥ 0
and
f(x) = -1/3x , if x ≤ 0
the slope of f(x) = 1/3x is 1/3
the slope of f(x) = -1/3x is -1/3
this two above conditions apply on to the fourth graph to the right.
i need help with thisss hurry!
Answers
Answer:
December
Step-by-step explanation:
87-38 = 49
Hope this helps!!!
Data was collected for the number of births per 10,000 people in the United States of America for 20 consecutive years. Below is the data for those 20 consecutive years. Construct a p chart and answer the question below.
157 160 164 167 167 162 158 154 150 146 144 142 143 142 144 141 139 141 140 140
Select the correct lower control limit.
Answers
Answer:
Option A is correct.
Step-by-step explanation:
Unit 6: Statistical Process Control POSTTEST Answers (STANDARD NOT HONORS STATISTICS)
1. p bar = 0.0061
2. x bar = 6.992
3. UCL = 0.019
4. Process mean is not within statistical control. There are points above and below the control limits. There is an upward trend.
5. UCL = 58.90; LCL = 40.24
6. Process appears to be out of statistical control. There is a point that lies above the upper control limit.
7. Process mean is not within statistical control. One of the points lies above the upper control limit.
8. UCL = 0.133
9. Process is out of statistical control. There is a downward trend.
10. Process mean is not within statistical control. There are points above and below the control limits. There is a cyclical pattern.
PEARSON CONNEXUS STUDENTS: 100% correct if you put these answers.
Will Mark Brainliest
Parabola: You must include the focus, vertex, lactus rectum, directrix, and the domain from the equation: y=-(x-0)^2 +15
Hyperbola: You must include the equations of the asymptotes and the domain from the equation: (2y^(2))/(b^(2))-(x^(2))/(a^(2))=7
Ellipse: You must include the foci, vertices, and eccentricity from the equation: 4x^(2)-1x+10y^(2)-50y-1=0
Answers
Answer:
Hi, i'm not trying to be rude but, you can search it up. there are many videos that explain it.
Step-by-step explanation:
Compute the amount of interest earned in the following simple interest problem.
A deposit of $295 at 7% for 270 days
Answers
Answer:
$253.33
Step-by-step explanation:
i did the test
What is the solution of the inequality shown
below?
y-1 > 0
Answers
Answer:
y>1
Step-by-step explanation:
y-1 > 0
Add 1 to each side
y-1 +1> 0+1
y>1
What is the measure of ∠4?
Answers
Complete the equation of the line whose slope is -2 and y-intercept is (0,-8)
y=
Answers
Answer:
y = -2x - 8
Step-by-step explanation:
We want to find the slope-intercept form of this equation. Slope-intercept form is denoted by: y = mx + b, where m is the slope and b is the y-intercept.
We already know that the slope is -2, so that means m = -2.
We also know the y-intercept (or the point where the line crosses the y-axis) is (0, -8), which means b = -8.
Thus, our equation is: y = -2x - 8.
~ an aesthetics lover
y=-2x-8 this should be right i had this same problem before :)
Simplify (write without the absolute value sign):
|x÷3|, if x=0
Answers
Answer:
0
Step-by-step explanation:
zero divided by anything that is integral is zero and 3 in a integer
0
hello!? what's 3 + 3
Answers
Answer:
6
Step-by-step explanation
Answer:
6
Step-by-step explanation:
if you have 3 apples and 3 banannas in all you have 6 fruits in total :)
3 bugs+ 3 ladybugs= 6 bugs
Hope this helps lol :)
acute scalene Triangle
right scalene triangle
acute isoceles triangle
right equilateral triangle
Answers
Answer: I hope this helps
Right scalene triangle
Step-by-step explanation:
The triangle that I made with 4cm, 7cm, and 8 cm. had a right angle and also has all unequal sides which is basically the exact definition of a right scalene triangle.
Please mark brainliest if you are satisfied with this answer :)
A survey will ask people if they want
more stop signs near a school. Which
group would be probably be biased
against this idea?
A students
B teachers
C driver
Answers
Answer:
I believe the answer is C. Driver.
Step-by-step explanation:
The driver is the person who has to pass by the school everyday. This means they would have to take out extra time because of the stop signs, so they would be against this.
Draw the shape described below and find its total surface area.
A cylinder 25 ft tall with a diameter of 12 f
Answers
Answer:
hope this helps :)
Step-by-step explanation:
8:07
Cylinder volume & surface area (video)
1) A 30-ft. ladder leans against a wall so that the base of the ladder
is 10 ft. from the base of the wall. What angle does the ladder
make with the ground?
A) 70.5
B) 19.5
C) 18.4
D) 33.3
Answers
Answer:
A) 70.5
Step-by-step explanation:
cos x = adjacent side/ hypotenuse
cos x = 10/ 30
cos x = 0.3
cos 70 = 0.3420
cos 71 = 0.3256
x = 70.5
Write the phrase as a unit rate.
$13.50 for 3.6 lb
Alb
Please help FAST
Answers
Answer:
$3.75/lb
Step-by-step explanation:
First, let's set up a proportion. The top number represents the cost, while the bottom number represents how many pounds. In order to get a unit rate, we need to figure out how much it costs for 1 pound.
[tex]\frac{13.5}{3.6} =\frac{x}{1}[/tex]
Now, cross multiply. To cross multiply, you would multiply 13.5 by 1 and 3.6 by x.
[tex]13.5 * 1 =13.5\\3.6*x=3.6x[/tex]
Set these two equal to each other.
[tex]13.5=3.6x[/tex]
Divide both sides by 3.6 to get x.
[tex]\frac{13.5}{3.6} =\frac{3.6x}{3.6}\\x=3.75[/tex]
For unit rates, you have to write your answer as per unit. To do that, put a slash next to your answer, and then your unit.
$3.75 / lb (unit)
Uma camiseta nº 42 custa R$ 1.200,00 e uma camiseta do mesmo tipo nº46 custa R$ 1.800,00. Comprando-se 4 camisetas nº 42 e 6 camisetas nº 46, qual o preço médio de cada camiseta
Answers
Step-by-step explanation:
fffggy nu fjxjxjxjcjcjdj
please Answer:
lol
Step-by-step explanation:
In a group of 30 people, 10 drink milk but not tea 5 drink tea
but not milk and 13 drink neither tea nor milk. find how many people drink both tea and milk.
Answers
Answer:
2
Step-by-step explanation:
10 + 13 + 5 = 28 who drink either, or, or neither
30 - 28 = 2
Answer:
2 drink both tea and milk
Step-by-step explanation:
30 people - 13 drink neither = 17 - 10 drink milk but not tea = 7 - 5 drink tea but not milk = 2 drink both tea and milk.
need asap! please help!
Answers
Answer:
x = 2
Step-by-step explanation:
7x + 5 = 19
Subtract 5 on both sides
7x = 14
Divide by 7 to isolate x
x = 2
Hope this helps!
If you need to show multiplication, do not use the letter w. Use the asterisk
(*) symbol instead, or simplify your answer.
Mr. Jones's algebra class has too many students in it. If the class were split
exactly in equal parts to form 3 new classes, each class would have no more
than 14 students in it
Answers
Answer:
42 students total, 14*3=42
Step-by-step explanation:
I'm not exactly sure what the question is, but I am assuming that it is , How many students were in the original class?
If you have 14 students in 3 classes, then you need to multiply each class by 14.
14 students × 3 classes = 42 students in the original class
Consider the cartesian equation of a circle, y=-2+- sqrt 36-(x-1)^2 , verses the parametric equations of the same circle: x=1+6 cos t y=-2+6sin t
Answers
What are the advantages of the parametric equations
Answer:
Step-by-step explanation:
Parametric equations shows the relation between a group of quantities by expressing the coordinates of points of a curve and function as one or more independent variables.
From the question given; the advantages of parametric equations given
x = 1 + 6 cos t
y= -2 + 6 sin t
are :
1) For a given value of the independent variable the parametric equation is used exactly one point on the graph
2) the parametric equations have a finite domain
3) the parametric equation is easier to enter into a calculator for graphic
Answer:
That dude was wrong on one of them!
A, C, E
Find a numerical value of one trigonometric function of x for cscx = sinx tanx + cosx
Answers
Answer:
Step-by-step explanation:
we have
[tex]cscx = sinx tanx + cosx\\\\\frac{1}{sinx}=sinx.\frac{sinx}{cosx} +cosx\\\\\frac{1}{sinx}.sinx.cosx= sinx.\frac{sinx}{cosx}.sinx.cosx+cosx.sinx.cosx\\ cosx= (sinx)^{3} +sinx.(cosx)^{2} \\cosx= sinx[(sinx)^{2}+(cosx)^{2})\\ cosx=sinx.1\\cosx=sinx\\tanx=1\\x=\frac{\pi}{4} +k\pi,k-integer.[/tex]
Answer:
cot x=1
Step-by-step explanation:
got it right
