Answer:
x=-1+\sqrt{15}i,\:x=-1-\sqrt{15}i
Step-by-step explanation:
For the given quadratic equation,x² + 2x + 16 = 0 the value of x will be x=-1+√15i, and x-=-1-√15i you must add 1 in order to complete the square.
What is a quadratic equation?Any equation with the formula [tex]\rm ax2 + bx + c = 0[/tex] where x is a variable and a, b, and c are any real values; a quadratic equation is one where a ≠ 0.
It is given that the equation is, x² + 2x + 16 = 0,
The value of x obtained after solving the given equation is x=-1+√15i and x-=-1-√15i.
In order to complete the square you have to take out the following operations,
x² + 2x + 16 = 0
Add and subtract by 1 as
x²+2x+16+1-1
x²+2x+1 +15
(x+1)²+(√15)²
Thus, you must add 1 in order to complete the square.
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Find the probability that a student is not playing a sport or not taking a foreign
language using the Venn Diagram below.
Answer:
18/25
Step-by-step explanation:
Total number of students = 23+14+10+3 = 50.
14 out of 50 are playing sport and taking a foreign language.
So the answer is (50 - 14) / 50
= 36/50
= 18/25.
=========================================================
Explanation:
The wording your teacher provided is a bit strange in my opinion. Though I think they are referring to the people who aren't taking both classes at the same time, but they could be taking exactly one class.
We have 23+14+10+3 = 50 students total and 14 of them are taking both classes. So 50-14 = 36 students are taking exactly one class, or they are taking neither of the classes.
This leads to a probability of 36/50 = (2*18)/(2*25) = 18/25 which points to choice B as the answer.
------------------
Side note:
If it asked "what is the probability that a student is not taking a sport AND not taking a foreign language?", then the probability would be 3/50 because there are 3 people not taking either class out of the 50 total. So the keyword "and" is the change made here, instead of the "or".
9 An exponential function is graphed on the grid.
V
20
18
16
14
112
6
2
1
2
3
4
5
6
7
Which function is best represented by the graph?
A g(x) = 6
= (3)
B g(x) = 6(3)*
C g(x) = 6 -
3
D g(x) = 6 -(3)*
I make $8 dollars per hour (H) for babysitting. I make a total (T) dollars babysitting on Saturday. In the space below, identify the Independent Variable (either H or T), the Dependent Variable (either H or T), and write an equation based on this information (include 8, H, T, and an = sign).
Answer: 8H=T
Step-by-step explanation:
8 is dependant on the hours so you put it together. Your independent
value is T since it is by itself. So your answer becomes.
8H=T
Dave's father is paying him to paint the storage
shed. Write a formula that will help them
decide how many cans of paint to buy.
Let's let
p = area covered by a can of paint
W = the total area of the walls
n = number of paint cans to buy.
Answer:
Number of paints to buy, n = The total area of the walls, W / Area covered by a can of paint, p
Step-by-step explanation:
Let's
p = area covered by a can of paint
W = the total area of the walls
n = number of paint cans to buy
Number of paints to buy, n = The total area of the walls, W / Area covered by a can of paint, p
That is,
n = W / p
If the total area of the walls = 100 m²
A can of paint covers 5 m². Find the number of cans of paint needed?
Number of paints to buy, n = The total area of the walls, W / Area covered by a can of paint, p
n = W / p
= 100 m² / 5 m²
n = 20 cans of paint
Some plsss helppppppp
$ -50
Step-by-step explanation:
they gain no profit since they spent more money than they had
Answer:
$-50 dollars
Step-by-step explanation:
let me know if I'm wrong
Solve for X PLEASE HELP DUE IN 10 MINS
Answer:
x = 4
Step-by-step explanation:
90 + 70 + 5x = 180
160 + 5x = 180
180 - 160 = 20
20 / 5 = 4
According to the graph, what is the value of the constant in the equation
below?
Height=
Constant/Width
(4, 25)
(5, 20)
(10, 10)
(20,5)
Answer:
100
Step-by-step explanation:
x-value is width and y-value is height. Therefore if you multiply the height x width you get the constant.
The value of the constant in the equation is 100.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
Given that, Height=Constant/Width
1) (4, 25)
Here, Height = 25 and Width = 4
25 = Constant/4
Constant = 100
2) (5, 20)
Here, Height = 20 and Width = 5
20 = Constant/5
Constant = 100
3) (10, 10)
Here, Height = 10 and Width = 10
10 = Constant/10
Constant = 100
4) (20, 5)
Here, Height = 20 and Width = 5
20 = Constant/5
Constant = 100
Therefore, the value of the constant in the equation is 100.
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what is y=-3x-5 in standard form?
Answer:
3 x-y=5
Step-by-step explanation:
I need help ASAP
Also I need to show work on it because it is for my homework
Answer:4.5
Step-by-step explanation:
PLZ HELP!! brainliest and 40pnts
PT 1
Find the volume of a cone that has a radius of 1/2 and a height of 1.
a) 3/2 pi b) 3/4 pi c) 1/12 pi D) 1/6 pi
PT 2
Find the volume of a cylinder that has a radius of 1/2 and a height of 1.
a) 1/2 pi b) 1/4 pi c) 3/2 pi d) 4 pi
Answer:
PT 1: C
PT 2: B
Step-by-step explanation:
In order to find the volume of a cone use equation
[tex]V=\pi r^2\frac{h}{3}[/tex]
To find the volume of a cylinder use equation
[tex]V=\pi r^2h[/tex]
Suki has 10 rock songs, 11 dance songs 12
salsa songs and 7 classical songs on her
playlist. If Suki's music player randomly
selects a song from the playlist, what is the
experimental probability that the song will be
a classical song?
Answers MUST be written as a fraction only.
Answer:
7/40
Step-by-step explanation:
possible outcomes = 10+11+12+7 = 40
favourable outcome = 7
theoretical probability = favourable outcomes/possible outcomes
therefore, 7/40 is the answer
What is 528,492 rounded to the nearest thousand?
Answer: 528,000
Step-by-step explanation: to easy
Sandra can run 3 miles in 20 minutes. How many minutes will it take her to run 7 miles?
Answer:
46.7 minutes to run 7 miles
Step-by-step explanation:
3 miles in 20 minutes boils down to the unit rate 3/20 miles/minute.
Multiply 7 miles by the unit rate (20/3 minutes/mile):
(7)(20)
---------- minutes, or approximately 46.7 minutes to run 7 miles
3
8/9 ÷ 2/3 - 5/6
step by step fast
Answer:
is 1/2 or .5
Step-by-step explanation:
PLEASE HELP ILL MAKE BRAINLIEST
Answer:
56°
Step-by-step explanation:
180 = 40 + (2x) + (3x)
180 - 40 = 40 + 5x - 40
140/5 = 5x/5
x = 28
2(28)
= 56
Answer:
m∠A = 56°
Step-by-step explanation:
A triangle contains 180°. So
180 - 40 = 140
2x + 3x = 140
5x = 140
x = 28
Now, plug in the value for x.
2(28) = 56
Check your work.
40 + 56 + 84 = 180
A factory makes car batteries. The probability that a battery is 1/14. If 400 batteries are tested how many are defective
Answer:
1/14 of 400 batteries = 56 batteries
Step-by-step explanation:
[tex]400 \times 0.14[/tex]
Answer:
Actual: 28.57
Rounded: 29
Step-by-step explanation:
400/14 = 28.57
Round to nearest whole number: 29
Correct on A P E X
the diagram shows a cuboid.what is the surface area of the cuboid
plz help
Answer:
202 cm
Step-by-step explanation:
You need to add the areas of the faces, and since it is a cuboid opposite faces are the same. If you do 2(5x9) + 2(4x9) + 2(4x5) you will get your answer.
Answer:
Hello Love! Answer: 202
Step-by-step explanation:
First off we have to do all 6 faces remember that each face will have a matching face that goes along with it so Imma start with the front face that would be 9 x 5 = 45 same for back face
Then ill do sides that will be 5 x 4 = 20 for both left and right sides Then ill do top and bottom
thats 4 x 9 = 36 Now ill add all of these up.
So 45 + 45 + 20 + 20 + 36 + 36 and that = 202
Question 3 (4 points)
Find the surface area of a sphere with a circumference of 172 mm. Round to the nearest tenth.
9416.9 mm
27.4 mm
4708.4 mm
749.4 mm
Answer:
a. 9,416.9 mm²
Step-by-step explanation:
Given:
Circumference of a sphere = 172 mm
Required:
Surface area of the sphere rounded to nearest tenth
Solution:
First, we need to determine the radius of the sphere since we know the circumference.
Circumference = 2πr
Plug in the value of the circumference
172 = 2*π*r
Divide both sides by 2π
172/2π = r
86/π = r
r ≈ 86/π
Next, find the surface area of the sphere
Surface area = 4πr²
plug in the value of r
Surface area = 4*π*(86/π)²
= 4*π*86²/π²
= 4*7,396/π
= 9,416.87967
≈ 9,416.9 mm² (nearest tenth)
I’ll give BRAINLIEST to best answer, please answer fast.
2 waffles =3$
2x4=8 waffles (How many waffles Sage wants)
3 + 3 + 3 + 3= 12 (or 3x4)
(2) (4) (6) (8)
12$ at I Scream
4 waffles= 4$
4 waffles x2=8$
8$ at Scoopz
12-8= 4
Sage would save 4 dollars if she got 8 waffles at Scoopz.If n + n + 2 = 10, then n= ____.
Answer:
n = 4
Step-by-step explanation:
Combine like terms and solve.
n + n + 2 = 10
2n + 2 = 10
2n = 8
n = 4
The interior angles formed by the sides of a hexagon have measures that add up to 720°. What is the measure of angle F? Need HELP ASAP
Which sentence about measuring angles is true?
Answer:
The first option
Step-by-step explanation:
Im smart
how many dog toys weigh 3/8 or 1/2 of a pound
Answer: 6
Step-by-step explanation:
By tallying up the x's in total in 3/8 and 1/2, it would be 6.
PLZZZ HELP MEEEEE!!!!
Answer:
She would use the mean.
Step-by-step explanation:
Lynette has a metal doorstop with the dimensions shown.
Each cubic centimeter of the metal in the doorstop has a mass
of about 8.3 grams. Find the volume of the metal in the
doorstop. Then find the mass of the doorstop.
Volume = 105in³
Mass = 871.5g
To find the volume of the metal we can find the area of a base, and multiply it by the prism's width.
The base is 30cm in area, and the width is 3.5cm, which makes the volume 105in³
The mass of the doorstop can be found by just multiplying the grams per cubic centimeter by the volume, which would be 871.5g
a particle moves along a horizontal line. Its position function is s(t) for t>0. For each problem, find the velocity function v(t) and the acceleration function a(t).
s(t)=t^3-t^2-56t
Answer:
Answer is in a photo. I can only upload it to a file hosting service. link below!
bit.^{}
ly/3a8Nt8n
Hey can you help me fast!!
Answer:
I believe the answer would be -4 1/2.
What is an excess-3 BCD code? Which shortcoming of the 8421 BCD code is overcome in the excess-3 BCD code? Illustrate with the help of an example.
It is extremely significant for mathematical operations since it solves a problem with the 8421 BCD code that arises when adding two decimal digits whose total is more than 9.
In contrast to standard non-biased BCD or binary positional number systems, excess-3 arithmetic employs a distinct method.
What is Excess-3 Code?An Excess Code also written as XS3 is a code that is non-weighted. It is used to depict express decimal numbers.
Hence, in contrast to standard non-biased BCD or binary positional number systems, excess-3 arithmetic employs a distinct method.
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The inverse of x + y is ?
Answer:
y + x
Step-by-step explanation:
Just answer the question in the picture. It's just math vocab! DO NOT answer for points OR SPAM LINKS!!! I will REPORT!
Answer:
A circle is a round shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
The distance from the center to the circumference of a circle
The diameter is the length of the line through the center that touches two points on the edge of the circle.
The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.
In plane geometry, a chord is the line segment joining two points on a curve. The term is often used to describe a line segment whose ends lie on a circle.
A line segment that has the endpoints on the circle and passes through the midpoint is called the diameter. The diameter is twice the size of the radius. A line segment that has its endpoints on the circular border but does not pass through the midpoint is called a chord. A circle is the same as 360°.
A line that intersects two or more points on a curve. (From the Latin secare "to cut")
The length of the side opposite the angle divided by the length of the adjacent side.
A line that intersects a circle in exactly one point is called a tangent and the point where the intersection occurs is called the point of tangency. The tangent is always perpendicular to the radius drawn to the point of tangency. A secant is a line that intersects a circle in exactly two points.
Common tangents to two circles may be internal or external. A common internal tangent intersects the line segment connecting the centers of the two circles whereas a common external tangent does not.
Step-by-step explanation:
they are in order! tell me if i made a mistake:)