Answer:
x = 2 + 2i, x = 2 - 2i
Step-by-step explanation:
[tex] {x}^{2} - 4x + 8 = 0 \\ \\ {x}^{2} - 4x + 4 + 4= 0 \\ \\ {x}^{2} - 4x + {(2)}^{2} = - 4 \\ \\ {(x - 2)}^{2} = - 4 \\ \\ x - 2 = \pm \sqrt{ - 4} \\ \\ x - 2 = 2i \\ \\ x = 2 \pm 2i \\ \\ x = 2 + 2i, \: \: \: x = 2 - 2i[/tex]
One way to determine the surface area of this cylinder is to -
Answer:
Option (A)
Step-by-step explanation:
Surface area of an object = Area of all the surfaces of the object
So, the surface area of the cylinder = Area of the two circular bases + Rectangular area around the surface of the cylinder
= πr²+ πr² + (2πr)h
= 2πr(r + h)
Therefore, Option (A) will be the correct option.
Answer:
A
Step-by-step explanation:
I did the quiz
A triangle has side lengths of 13 feet, 18 feet, and 12 feet. What kind of triangle is it?
Answer:
Scalene Triangle
Step-by-step explanation:
A scalene triangle is a triangle that’s supposed to have all three sides with unequal lengths.
Amanda has four plastic shapes, a circle, a square, a triangle, and a pentagon, In how many ways can she lineup the four shapes if the circle cannot be next to the square
Do NOT have an explanation that isn't just writing all the combinations of shapes.
====================================================
Explanation:
Let's say we have the following code names for each shape
C = circleS = squareT = triangleP = pentagonWe have 4! = 4*3*2*1 = 24 ways to arrange them without any restrictions
Some permutations have C and S together, while others do not.
Example of them together: CSTP
Example of them separated: CTSP
--------------------------
Let's say Amanda used a rubberband or glue to connect the circle to the square. This way the two shapes would always be together. They combine to form a new shape of sorts.
Let's call this new shape "polygon" and define it as
L = polygon
The codename L is just a placeholder for CS or SC.
So instead of the set of these codenames {C,S,T,P}, we have this reduced set {L,T,P}
No matter how we arrange the items in {L,T,P}, the circle and square are always going to be together. Again, anywhere you see an L, you replace it with CS or SC.
--------------------------
There are 3 letters in {L,T,P} so there are 3! = 3*2*1 = 6 ways to arrange those 3 letters. There are 2 ways to arrange S and C within any of those 6 arrangements mentioned earlier.
So there are 2*6 = 12 different ways to arrange the four shapes such that S and C are together somehow.
Recall earlier we found 24 ways total to arrange the shapes without restriction. This must mean there are 24 - 12 = 12 permutations such that S and C are not together. This is the final answer we're after.
Which equations are perpendicular to the line that passes through (2,1) and (3,4)
Group of answer choices
y=3x+5
y=3x+9
y=(-1/3)x+6
y=(-1/3)x+10
y=(1/3)x+4
y=(1/3)x+6
9514 1404 393
Answer:
y=(-1/3)x+6y=(-1/3)x+10Step-by-step explanation:
The slope of the given line can be found from the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (4 -1)/(3 -2) = 3/1 = 3
The slope of the perpendicular line is the opposite reciprocal of this:
perpendicular slope = -1/m = -1/3
__
Choices (c) and (d) have x-coefficients that are -1/3. Those are the perpendicular lines.
y=(-1/3)x+6y=(-1/3)x+10what is the largest prime number?
Answer:
28258933-1
Step-by-step explanation:
hope it helps you
Expression vs Equations
Answer:
20
Step-by-step explanation:
An expression dose NOT have an = sign
An equation dose have an = sign
In this case, the expression 4x+8, replace the x with 3, since x=3
4x + 8
4 x 3 + 8 ( don't forget PEMDAS )
12 + 8
20
6a^(3)+2a^(2)-8a-9-8a^(3)-a^(2)-6a+1
Answer:
[tex]-2a^3+a^2-14a +8[/tex]
Step-by-step explanation:
Given
[tex]6a^3+2a^2-8a-9-8a^3-a^2-6a+1[/tex]
Required
Simplify
[tex]6a^3+2a^2-8a-9-8a^3-a^2-6a+1[/tex]
Collect Like Terms
[tex]-8a^3+6a^3-a^2+2a^2-8a-6a-9+1[/tex]
[tex]-2a^3+a^2-14a +8[/tex]
Acardboard popcom container is shaped like a cone that is 11 inches high and has a radius of 2.5 inches What is the volume of the container? Use 3 14 for pi Round your answer to the nearest hundredth
Answer:
71.99 in³
Step-by-step explanation:
The formula to apply is that of volume of a cone where;
V=π*r²*h/3 --------where V is the volume of the container, r is the radius of the container and h is the height of the container
Given that : π=3.14 , r is 2.5 inches , h= 11 inches then apply values to the container as;
V= 3.14 * 2.5²* 11/3
V= 3.14 * 6.25 * 3.67
V= 71.9948
V= 71.99 in³
Answer:
Volume of Cone= 71.9583
Step-by-step explanation:
Volume of Cone= (1/3)πr²h
Volume of Cone= (1/3)×3.14×(2.5)²×11
Volume of Cone= 71.9583
-4y-4+(-3) please help me! thank you
Answer: 1.75 = y
Explanation: In the picture linked
Hope this helps
Nick earns 3.5%
commission on every
car he sells. How much
would he earn if he sold
a $14.000 car?
The amount he would earn is $490.
What does multiplication mean?
Multiplication is the process of determining the product of a number. It is determined by following some mathematical processes. The sign used to represent multiplication is ×.
How much will he earn?Commission = 3.5% x $14,000
0.035 x $14,000 = $490
To learn more about multiplication, please check: https://brainly.com/question/13814687
HELP FAST PLEASE!!! PLEASE
Indentify the interval on which the function is increasing.
Which statement best explains the relationship
between lines FG and HJ?
O They are perpendicular because their slopes are
equal.
O They are perpendicular because their slopes are
negative reciprocals.
They are not perpendicular because their slopes
are equal.
They are not perpendicular because their slopes
are not negative reciprocals.
Answer:
They are not perpendicular because their slopes are not negative reciprocals.
Step-by-step explanation:
Melissa has started training for a race. The first time she trains, she bikes 5 miles. Each subsequent time
she trains, she bikes 0.5 mile farther than she did the previous time.
a) Use summation notation to write an arithmetic series to represent the total distance Melissa has biked
after she has trained n times. (2 points)
b) Use the formula for a partial sum of the series you wrote in part a, above, to answer this question: What
is the least number of times Melissa must bike for her total distance biked during training to exceed 60
miles? (3 points)
Answer:
55
Step-by-step explanation:
Solve for u .
-24 = u ÷ 6
u =
Answer:
[tex]u = - 144[/tex]
Step-by-step explanation:
[tex] - 24 = u \div 6[/tex]
[tex] - 24 \times 6 = u[/tex]
[tex] - 144 = u[/tex]
to be sure
[tex] - 24 { = }^{?} - 144÷6[/tex]
[tex] - 24 = - 24[/tex]
Answer:
u = -144
Step-by-step explanation:
-24 = u ÷ 6
Multiply both side by 6.
-24 × 6 = u ÷ 6 × 6
-144 = u
Verification:-
-24 = -144 ÷ 6
-24 = -24
LHS = RHS
Solve P-6 = 16. Check your answer.
O p = 22
O p = -22
O p = 10
O p = -10
Simplify distributive property expression expression is 15(p+4+2) TYSM THIS IS CONFUSING ILL MARK BRAINLIEST
Answer: 15p+90
Step-by-step explanation:
15(p+4+2)
15p+60+30
15p+90
:)
If a +2<b+3 then ____.
a-b<1
a<b+1
a<b
b<a
Answer:
a<b+1
Step-by-step explanation:
a +2<b+3
a<b+3-2
a<b+1
Answer: a - b < 1 or a < b + 1
a + 2 < b + 3
⇔ a - b < 3 - 2
⇔ a - b < 1
Step-by-step explanation:
Beanie works cleaning carpets. He charges $99 per room. If he cleans 3 rooms in one home, 5 in another, and 4
in a third home, how much will he make?
A. $693
B. $1188
C. $891
D. $792
Answer:
B. $1188
Step-by-step explanation:
If he makes $99 per room, add all the rooms first:
3 + 5 + 4 = 12 rooms total
Then multiply the number of rooms by the price per room:
$99 * 12 = $1188
Maël mixes 151515 milliliters (\text{mL})(mL)left parenthesis, start text, m, L, end text, right parenthesis of bleach with 3.753.753, point, 75 liters (\text{L})(L)left parenthesis, start text, L, end text, right parenthesis of water to make a sanitizing solution for a daycare. The amounts of bleach and water always have to be proportional when he makes sanitizing solution.
Which of the following could be combinations of volumes of bleach and water for Maël's sanitizing solution?
The combination of volumes of bleach and water for Maël's sanitizing solution will be 12 mL of bleach and 3 L water, 6 mL of bleach and 1.5 L water, and 3 mL of bleach and 0.75 L water. Then the correct options are A, B, and C.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Maël mixes 15 milliliters of bleach with 3.75 liters of water to make a sanitizing solution for a daycare.
The ratio of bleach to water is given below.
Bleach / Water = 15 / 3.75 = 4
Bleach / Water = 12 / 3 = 4
Bleach / Water = 6 / 1.5 = 4
Bleach / Water = 3 / 0.75 = 4
Bleach / Water = 20 / 5.5 = 3.6363
The combination of volumes of bleach and water for Maël's sanitizing solution will be 12 mL of bleach and 3 L water, 6 mL of bleach and 1.5 L water, and 3 mL of bleach and 0.75 L water. Then the correct options are A, B, and C.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
The complete questions are given below.
Which expression is equivalent to (2x − 3)(x + 4) ?
Answer:
Step-by-step explanation:
2x2 + 8x - 3x - 12
2x2 + 5x - 12 is equivalent to the given expression
Answer:
[tex]2x^{2} +5x-12[/tex]
Step-by-step explanation:
More than half of the students were excited about the project. In fact, were excited. If 10 students were not
excited about the project. how many students were excited?
Answer:1/2 divided by 10
Step-by-step explanation:
some paint has spilled on a 8x8 chess board. is it possible that the number of stained cells is 17 less than the number of the unstained cells? why or why not?
Answer:
Impossible
Step-by-step explanation:
Work out m and c for the line: y − 2 x = − 3
Answer:
m=2, b=-3
Step-by-step explanation:
y=2x-3
m = 2
b = -3
If you have five red balls and five blue balls in a jar what’s the probability of the first ball being red?
Answer:
red balls = 5
blue balls = 5
total balls = 5 blue+5 red
= 10
[tex]p(first \: ball \: being \: red) = \frac{red \: balls}{total \: balls} [/tex]
[tex]p(first \: ball \: being \: red) = \frac{5}{10} = \frac{1}{2} [/tex]
Answer:
Step-by-step explanation:
Total number of red balls = 5
Total number of blue balls = 5
Total number of balls in jar = 5 + 5
= 10
Probability of the first ball being red = total number of the red ball/total number of balls in the jar
= [tex]\frac{5}{10}[/tex]
= [tex]\frac{1}{2}[/tex]
Therefore, the probability of the first ball being red = [tex]\frac{1}{2}[/tex], 50% or 0.5 (in any way you are instructed to write it in)
Set up an equation that relates the direct variation. D varies directly with t
Answer:
I really don’t understand the question.. sorry I couldn’t help...
Draw lines to match each fraction,
decimal, or percent on the right to an
equivalent number on the left.
Answer:
0.45 = 9/20
38% = 19/50
27/50 = 0.54
0.68 = 17/25
80% = 4/5
Step-by-step explanation:
Answer the question below.
it's one of these
-16 / 3
-16 / 2
-8 / 8
-8 / 2
Answer:
-16 / 2
Step-by-step explanation:
You have 16 negative tiles and you are dividing it into 2.
Answer:
It is -16 / 2
Step-by-step explanation:
Please mark brainliest.
solve the following question
9514 1404 393
Answer:
π/3
Step-by-step explanation:
The given integral does not exist. We assume there is a typo in the upper limit, and that you want the integral whose upper limit is (√3)/2.
It is convenient to make the substitution ...
x = sin(y) . . . . so, y = arcsin(x)
dx = cos(y)·dy
Then the integral is ...
[tex]\displaystyle\int_0^{\sqrt{3}/2}{\dfrac{\cos{y}}{\sqrt{1-\sin^2{y}}}}\,dy=\int_0^{\sqrt{3}/2}{dy}=\left.\arcsin{x}\right|\limits_0^{\sqrt{3}/2}\\\\=\arcsin{(\sqrt{3}/2)}=\boxed{\dfrac{\pi}{3}}[/tex]
Given the third term is 12 and the rate of change is 3. What is the first 5 terms ?
Answer:
6, 9, 12, 15, 18
Step-by-step explanation:
If the third term is 12, then to find the first term subtract 3 twice (or just subtract 6) to get 6. To find the rest of the terms add 3 accordingly. The equation to find this would be:
a_n = 6 + (n-1)3
Solve for x: 8x - 3 = 5(2x + 1)
Answer:
x = - 4
Step-by-step explanation:
Given
8x - 3 = 5(2x + 1) ← distribute
8x - 3 = 10x + 5 ( subtract 10x from both sides )
- 2x - 3 = 5 ( add 3 to both sides )
- 2x = 8 ( divide both sides by - 2 )
x = - 4
Answer:
x = - 4
Step-by-step explanation:
8x - 3 = 5(2x + 1)
8x - 3 = 5 × 2x + 5 × 1
8x - 3 = 10x + 5
8x - 10x = 3 + 5
- 2x = 8
2x = - 8
x = (- 8)/2
x = - 4
Thus, The value of x is -4
-TheUnknownScientist