Answer:
hi its 3.501
Step-by-step explanation:
What is the factorization of the trio mail below?
4x^2+28x+48
Answer:
Solution in photo
Step-by-step explanation:
Find the quotient.
3/8 divided by 8
Answer: 3/64
Step-by-step explanation:
Dividing by 8 is the same thing as multiplying by the reciprocal (just flip the fraction). Since 8/1 is the same things as 8, here, the reciprocal is 1/8. So just multiply 3/8 by 1/8. You should get 3/64. Hope this helps!
Help would be truly appreciated. Write the polynomial in standard form from the given zeroes of lest degree that has rational coefficients, a leading coefficient of 1.
Don't have to answer all just what you can. I would appreciate if work is shown that way I can do the same for the rest. I really just need a tutorial and I'm good. Thank you so much!!!
Answer:
1) The polynomial in standard form is f(x) = x³ - 9·x² + 23·x - 15
2) The polynomial in standard form is f(x) = x³ - (2 - 2·i)·x² + 4·i·x
3) The polynomial in standard form is f(x) = x² + (3·i - 3)·x + 2 - 6·i
4) The polynomial in standard form is f(x) = x² - (5 + √5)·x + 6 + 3·√5
Step-by-step explanation:
Given that that the polynomial is of least degree, we have;
The standard form is the form, f(x) = a·xⁿ + b·xⁿ⁻¹ +...+ c
1) The zeros of the polynomial are x = 5, 3, 1
Which gives the polynomial in factored form as_f(x) = (x - 5)·(x - 3)·(x - 1)
From which we have;
f(x) = (x - 5)·(x - 3)·(x - 1) = (x - 5)·(x² - 4·x + 3) = x³ - 4·x² + 3·x - 5·x² + 20·x - 15
f(x) = x³ - 9·x² + 23·x - 15
The polynomial in standard form is therefore f(x) = x³ - 9·x² + 23·x - 15
2) The zeros of the polynomial are x = 2, 0, 2·i
Which gives the polynomial in factored form as_f(x) = (x - 2)·(x)·(x - 2·i)
From which we have;
f(x) = (x - 2)·x·(x - 2·i) = (x² - 2·x)·(x - 2·i) = x³ - 2·i·x² + 2·x² + 4·ix
The polynomial in standard form is therefore f(x) = x³ - (2 - 2·i)·x² + 4·i·x
3) The zeros of the polynomial are x = 2, 1 - 3·i
Which gives the polynomial in factored form as_f(x) = (x - 2)·(x - 1 - 3·i)
From which we have;
f(x) = (x - 2)·(x - (1 - 3·i)) = x² - x + 3·i·x - 2·x + 2 -6·i = x² + 3·i·x - 3·x + 2 - 6·i
The polynomial in standard form is therefore f(x) = x² + (3·i - 3)·x + 2 - 6·i
4) The zeros of the polynomial are x = 3, 2 + √5
Which gives the polynomial in factored form as_f(x) = (x - 3)·(x - (2 + √5))
From which we have;
f(x) = (x - 3)·(x - (2 + √5)) = x² - 2·x - x·√5 - 3·x + 6 + 3·√5
f(x) = x² - 5·x - x·√5 + 6 + 3·√5 = x² - (5 + √5)·x + 6 + 3·√5
The polynomial in standard form is therefore f(x) = x² - (5 + √5)·x + 6 + 3·√5.
Find the area of the sector:
A=
yd? (Round to one decimal place)
210°
16 yd
Answer:
469.1 yd²
Step-by-step explanation:
The area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{210}{360}[/tex]
= π × 16² × [tex]\frac{21}{36}[/tex]
= 256π × [tex]\frac{7}{12}[/tex]
≈ 469.1 yd² ( to 1 dec. place )
Which expression is equivalent to 6a+5a?
WHOEVER ANSWERS FIRST WILL GET BRAINLIEST AND I NEED THE MATH TO IT
Answer:
11a
Step-by-step explanation:
You can combine like terms. Since they both have a after the number, you can just think of it as an addition problem. 6+5= 11. 6a+5a=11a.
Solve by using the quadratic formula:
x2 - 6x + 7 = 0
Final Answer: [tex]x = 3 + \sqrt{2}, 3 - \sqrt{2}[/tex]
Steps/Reasons/Explanation:
Question: Solve by using the quadratic formula: [tex]x^{2} - 6x + 7 = 0[/tex].
Step 1: Use the Quadratic Formula.
[tex]x = \frac{6 + \sqrt[2]{2} }{2}, \frac{6 - \sqrt[2]{2} }{2}[/tex]
Step 2: Simplify solutions.
[tex]x = 3 + \sqrt{2}, 3 - \sqrt{2}[/tex]
~I hope I helped you :)~ The quadratic formulaic is attached in an image.
A thin rectangular sheet of metal is 6 inches wide and 10 inches long. The sheet of metal is to be rolled to form a cylinder so that one dimension becomes the circumference of the cylinder and the other dimension becomes the height. What is the volume of the largest possible cylinder formed
Answer:
Length of the Rectangle is to be considered as the circumference of the resulting cylinder and the width of the rectangle should be considered as the height of the cylinder only then we get the maximum volume of the cylinder which is 47.77[tex]in^3[/tex]
Step-by-step explanation:
The given dimensions are
Width of the rectangle is 6inches.
Length of the rectangle 10inches.
Now we need to choose in what orientation we need to use the length and the width of the rectangle so that it can be rolled into a rectangle and we get the maximum volume of the resulting cylinder.
so lets consider two cases
CASE-1: width of the rectangle is to be rolled as the circumference of the cylinder and length of the rectangle is to used as the height of the cylinder
2*pi*r = 6
r = [tex]\frac{6}{2pi}[/tex]
r = [tex]\frac{3}{pi}[/tex] Inch
and the height = 10inch.
Volume of the resultant cylinder will be
= [tex]pi*r^2*h[/tex]
= [tex]pi*(\frac{3}{pi} )^2*10[/tex]
= [tex]\frac{9}{pi}*10[/tex]
= [tex]\frac{90}{pi}[/tex] = 28.662 [tex]in^3[/tex]
CASE-2: When the length of the rectangle is to used as the circumference of the resultant cylinder and the width of the cylinder is used as the height of the cylinder.
2*pi*r= 10
r = [tex]\frac{5}{pi}[/tex]
and the height of the cylinder is 6 inch
Now the volume of the cylinder will be
Volume= [tex]pi*r^2*h[/tex]
= [tex]pi*(\frac{5}{pi} )^2*6[/tex]
= [tex]\frac{25}{pi}*6[/tex]
= [tex]\frac{150}{pi}[/tex] = 47.77[tex]in^3[/tex]
Clearly we have the second case in which the resulting Cylinder will have the maximum volume.
Therefore the CASE-2 will provide the maximum Volume of 47.77[tex]in^3[/tex] to the resulting cylinder in which the length of the rectangle is to be considered as the circumference of the Cylinder and the width of the rectangle is to be considered as the height of the cylinder.
HELP PLS ! i’ll give brainlest is the answer is correct
Answer:
Function.
General Formulas and Concepts:
Algebra I
Vertical Line Test - each x-value must have it's own y-valueStep-by-step explanation:
If we apply the Vertical Line Test to the graph, we can see that each x-value has it's own y-value. Therefore, the graph is a function and not a relation.
Determine if the triangles, ΔUVW and ΔBAC, are similar. If so, identify the similarity criterion.
A) AA similarity
B) SAS similarity
C) SSS similarity
D) not similar
Answer:
B). SAS similarity.
Step-by-step explanation:
In Δ WVU & ΔCAB,
UV/CA = 17/34 = 1/2
&
VW/AB = 14/28 = 1/2
∵ UV/CA = VW/AB = 1/2
& ∠V = ∠A (Given)
∵ ΔWVU ≅ ΔCAB (by SAS similarity)
what is –9 – (–13) and how do i solve
Answer:
4
Step-by-step explanation:
-9-(-13)
-9+13 <---- (-)*(-) = (+)
13-9
4
Derek weighs 155 pounds and drives a utility vehicle that can carry no more than 220 pounds. He plans to use his utility vehicle to haul blocks to his
backyard. Which inequality shows the number of 3 pound blocks, b, Derek can haul at one time on his utility vehicle?
Drag and drop an answer choice into each empty box below.
Answer:
22 I think
Step-by-step explanation:
Solve for V in V= s^3, if s= 4.
V=
Answer:
64
Step-by-step explanation:
v = s^3
v = (4)^3 [4x4x4]
v = 64
6x - 12 y = 24
-х — 6у = 4
solve the system of equations.
Answer:
x = 2, y = -1
Step-by-step explanation:
Answer:
-6=4 no solutions
Step-by-step explanation:
Jamie works for a construction company. Hi sorry company was hired to build some bricks. They bought 3/4 of a ton of bricks. Each brick house uses 1/5 of a ton of bricks. Using the amount that they have Howe many brick house can Jamie complete before they have to order more.
Answer:
3 3/4 brick house
Step-by-step explanation:
Total bricks bought = 3/4 of a ton
Each brick house uses = 1/5 of a ton
How many brick house can Jamie complete before they have to order more?
Number of brick house Jamie can complete with the available bricks = Total bricks bought / bricks per house
= 3/4 ÷ 1/5
= 3/4 × 5/1
= 15/4
= 3 3/4 brick house
Jamie will complete 3 3/4 brick house before they have to order more bricks
What is the difference? Complete the equation. -4 - 2 1/2
Answer: - 6 1/2
Step-by-step explanation:
We should note that:
=-4 - 2 1/2
= -6 1/2
For example, let's assume you owe Bob $4 and then you owe Bill $2 1/2. To calculate the total amount owed, you would have $6 1/2.
Calculate the remainder when 3456 is divided by 7
Answer:
The remainder when 3456 is divided by 7 is 6.
5 is the remainder when 3456 is divided by 7
What is Division?A division is a process of splitting a specific amount into equal parts.
We need to find the remainder when 3456 is divided by 7
3456/7
3456:7 is a ratio and 3456/7 is also called as fraction.
The number 3456 is called the numerator or dividend, and the number 7 is called the denominator or divisor.
3456 we can write as 3451+5
3451 is divided by 7 which gives 493.
5 is the remainder when 3456 is divided by 7
Hence, 5 is the remainder when 3456 is divided by 7
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ2
please help ASAP!!!!!
A cookie factory uses 1 1/3 barrels of oatmeal in each batch of cookies. The factory used 2 2/3 barrels of oatmeal yesterday. How many batches of cookies did the factory make?
Answer:
2 batches
Step-by-step explanation:
A cookie factory uses 1 1/3 barrels of oatmeal in each batch of cookies
The factory used 2 2/3 barrels of oatmeal yesterday
Therefore the batches of cookies that were made yesterday can be calculated as follows
1 batch= 1 1/3 barrels
x = 2 2/3 barrels
Cross multiply
4/3 x = 8/3
x= 8/3 ÷ 4/3
x = 8/3 × 3/4
x= 2
Hence 2 batches will be produced
Which expression is equivalent to the following complex fraction?
1 + StartFraction 1 Over y EndFraction divided by 1 minus StartFraction 1 Over y EndFraction
A,) StartFraction (y + 1) (y minus 1) Over y squared EndFraction
B.) StartFraction y + 1 Over y minus 1 EndFraction
C.) StartFraction y minus 1 Over y + 1 EndFraction
D.) StartFraction y squared Over (y + 1) (y minus 1) EndFraction
Answer:
umm...the wording is kinda confusing but im just gonna full send and say its c
Step-by-step explanation:
sry if its wrong lol (it probably is)
Answer:
Its actually B
Step-by-step explanation:
i AM THE edgEINGUITY GOD
What is the y intercept?
Answer:
-5
Step-by-step explanation:
| 19 − 20x | − |20 − 19x |− |x − 10|, if x > 100
Answer:
11
Step-by-step explanation:
since x>100, then 19-20x and 20-19x would obviously be negative and x-10 would be positive.
Therefore we have (20x-19)-(19x-20)-(x-10) = 20x-19-19x+20-x+10 = 11
Which system of linear inequalities has the point (2, 1) in its solution set? Which system of linear inequalities has the point (2, 1) in its solution set?
y less-than negative x + 3. y less-than-or-equal-to one-half x + 3 On a coordinate plane, 2 lines are shown. The first solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second dashed straight line has a negative slope and goes through (0, 3) and (3, 0). Everything to the left of the line is shaded.
y less-than negative one-half x + 3. y less-than one-half x. On a coordinate plane, 2 lines are shown. The first solid straight line has a negative slope and goes through (0, 3) and (4, 1). Everything below the line is shaded. The second dashed straight line has a positive slope and goes through (0, 0) and (2, 1). Everything below and to the right of the line is shaded.
y less-than-or-equal-to negative x + 3. y less-than-or-equal-to one-half x + 2 On a coordinate plane 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second line has a negative slope and goes through (0, 3) and (3, 0). Everything below and to the left of the line is shaded.
y less-than one-half x. y less-than-or-equal-to negative one-half x + 2
Answer:
c
Step-by-step explanation:
c Which system of linear inequalities has the point (2, 1) in its solution set? Which system of linear inequalities has the point (2, 1) in its solution set?
y less-than negative x + 3. y less-than-or-equal-to one-half x + 3 On a coordinate plane, 2 lines are shown. The first solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second dashed straight line has a negative slope and goes through (0, 3) and (3, 0). Everything to the left of the line is shaded.
y less-than negative one-half x + 3. y less-than one-half x. On a coordinate plane, 2 lines are shown. The first solid straight line has a negative slope and goes through (0, 3) and (4, 1). Everything below the line is shaded. The second dashed straight line has a positive slope and goes through (0, 0) and (2, 1). Everything below and to the right of the line is shaded.
y less-than-or-equal-to negative x + 3. y less-than-or-equal-to one-half x + 2 On a coordinate plane 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second line has a negative slope and goes through (0, 3) and (3, 0). Everything below and to the left of the line is shaded.
y less-than one-half x. y less-than-or-equal-to negative one-half x + 2v
The system of linear inequalities x + 2y ≤ 4 and 2x - y > 0 has (2,1) in its solution set.
The solution set is given as:
[tex](x,y) = (2,1)[/tex]
The above solution set is true for x + 2y ≤ 4 and 2x - y > 0, and the proof is as follows:
Substitute 2 for x and 1 for y in x + 2y ≤ 4 and 2x - y > 0.
So, we have:
[tex]\mathbf{2 + 2\times1 \le 4 }[/tex]
[tex]\mathbf{2 + 2\le 4 }[/tex]
[tex]\mathbf{4\le 4 }[/tex] --- this is true, because 4 is less than or equal to 4
Also, we have:
[tex]\mathbf{2x - y > 0}[/tex]
[tex]\mathbf{2 \times 2 - 1 > 0}[/tex]
[tex]\mathbf{4 - 1 > 0}[/tex]
[tex]\mathbf{3> 0}[/tex] --- this is also true, because 3 is greater than 0
Hence, the system of linear inequalities x + 2y ≤ 4 and 2x - y > 0 has (2,1) in its solution set.
Read more about inequalities at:
https://brainly.com/question/11702933
At Rafael's auto shop, it takes him 15 minutes to do an oil change and 24 minutes to do a tire change. Let x be the number of oil changes he does. Let y be the number of tire changes he does. Using the values and variables given, write an inequality describing how many oil changes and tire changes Rafael can do in less than an hour (60 minutes).
Answer:
5x + 8y < 20Step-by-step explanation:
Oil change
Time = 15 minNumber = xTire change
Time = 24 minNumber = yTime limitation = 60 min
Required inequality:
15x + 24y < 60Simplified
5x + 8y < 20What is the equation in slope-intercept form of a line that passes through the point (3, 7) and has a slope of 1/3?
Y=1/3x+7
Y=7x+1/3
Y=1/3x+6
Y=6x+1/3
Answer:
Y = 1/3x + 6
Step-by-step explanation:
You are trying to find the b in y=mx + b so you plug in the information you have
7=1/3 (3) + b
1/3 *3 = 1
7 = 1 +b
-1 - 1
6=b
So Y = 1/3x + 6
PLEASE HELP DUE SOON!!!! A circle has its center at the origin, and (5, -12) is a point on the circle. How long is the radius of the circle?
A. 12
B. 5
C. 13
What is the next number in the sequence below?
128, 64, 32, 16,?
O A. 6
OB. 8
O c. 10
O D. 32
Bro could i get some help
Answer: wow that’s a lot of stuff
Step-by-step explanation:
Noice profile pic
this months rainfall is 30% less than last months total of 3.5 inches.
PLZZZZ ANSWWERRR ASAPPP MARKING BRAINLIEST
Answer:
1.05
Step-by-step explanation:
3.5x.30=1.05
Answer:
1.05
Step-by-step explanation:
You will have to multiply if you are trying to find the amount of water in total. So, 0.30*3.5=1.05. So, that would be your answer for the amount of rainfall.
can someone help me plz .. Use these lengths to find cos B, tan B, and sin B.
Answer:
cos B = [tex]\frac{7}{25}[/tex]
tan B = [tex]\frac{24}{7}[/tex]
sin B = [tex]\frac{24}{25}[/tex]
Step-by-step explanation:
In the right triangle, there are three sides and 2 acute angles
Hypotenuse ⇒ the opposite side of the right angleLeg1 and Leg 2 ⇒ the sides of the right angleThe trigonometry functions of one of the acute angles Ф are
sin Ф = opposite leg/hypotenusecos Ф = adjacent leg/hypotenusetan Ф = opposite leg/adjacent legIn Δ ACB
∵ ∠C is the right angle
∴ AB is the hypotenuse
∵ AC is the opposite side of ∠B ⇒ leg1
∵ CB is the adjacent side of ∠B ⇒ leg2
→ By using the ratios above
∴ cos B = [tex]\frac{CB}{AB}[/tex] , tan B = [tex]\frac{AC}{CB}[/tex] , sin B = [tex]\frac{AC}{AB}[/tex]
∵ CB = 7, AB = 25, AC = 24
∴ cos B = [tex]\frac{7}{25}[/tex]
∴ tan B = [tex]\frac{24}{7}[/tex]
∴ sin B = [tex]\frac{24}{25}[/tex]
Emily sent 60 texts so far this week. What is 20%of the total number of text messages she is allowed in one week
Answer:
so we should find the %20 of 60
60.%20=12
Step-by-step explanation:
the answer is 12
hope it helps