Answer:
+/- 8i
Step-by-step explanation:
x^2 = -64
square root (x^2) = square root of (-64)
x = +/- 8* the square root of (-1)
x = plus or minus 8i
The solution for the given quadratic equation are 8i and -8i.
The given quadratic equation is x²=-64.
What is the complex number?A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.
Here, square root on both the sides of an equation
That is, x=√(-64)
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
= ±8i
Therefore, the solution for the given quadratic equation are 8i and -8i.
To learn more about the complex numbers visit:
https://brainly.com/question/10251853.
#SPJ2
Diego is buying shrimp and rice to make dinner. Shrimp
costs $6.20 per pound and rice costs $1.25 per pound.
Diego spent $10.55 buying shrimp and rice.
The relationship between pounds of shrimp s, pounds
of rice r, and the total cost is represented by the
equation 6.20s + 1.25r= 10.55.
Write an equation that makes it easy to find the number
of pounds of rice if we know the number of pounds of
shrimp purchased.
Answer:
r= (10.55−6.20s)
--------------------------
1.25
Step-by-step explanation:
Using the principle of subject of formula, we make number of pounds of rice, r the subject of the given equation. Hence, the equation would be r = (10.55 - 6.20s)/1.25
Given the expression :
6.20s + 1.25r = 10.55
Isolate 1.25r
1.25r = 10.55 - 6.20s
Divide both sides by 1.25 to isolate r
r = (10.55 - 6.20s)/1.25
Therefore, the required expression would be
r = (10.55 - 6.20s)/1.25
Learn more : https://brainly.com/question/18581754
Mr. Meyer bought a block of fudge that weighed 1/2 of a pound. He cut the fudge into 5 equal pieces. What was the weight of each piece of fudge?
Answer:
2.5 lb
Step-by-step explanation:
A survey of 73 students found that 37% were in favor of raising tuition to pave new parking lots. The standard deviation of the sample proportion is 9.8%. How large a sample (to the nearest person) would be required to reduce this standard deviation to 4.7%?
Answer:
The value is [tex]n_2 = 317[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 73
The proportion that in favor of raising the tuition is [tex]\^{p} = 0.37[/tex]
The standard deviation is [tex]s_1 = 0.098[/tex]
The required standard deviation [tex]s_2 = 0.047[/tex]
Generally the requires standard deviation is mathematically represented as
[tex]s_2 = s_1 * \sqrt{\frac{n_1}{n_2} }[/tex]
=> [tex]\frac{s_2}{s_1} = \sqrt{\frac{n_1}{n_2} }[/tex]
=> [tex]\frac{n_1}{n_2} =[\frac{s_2}{s_1} ]^2[/tex]
=> [tex]\frac{73}{n_2} =[\frac{0.047}{0.098} ]^2[/tex]
=> [tex]\frac{73}{n_2} =0.2300[/tex]
=> [tex]n_2 = \frac{73}{0.2300}[/tex]
=> [tex]n_2 = 317[/tex]
What is the place value of the
underlined digit?
2,455,037
Answer:
millions
Step-by-step explanation:
Its millions because the 4 is hundred thousands
the table shows the gallons filled in a pool over time (ASAP)
Answer:
125, 250, 500, 625
Step-by-step explanation:
As you can see, half of the pool is 500. 2 halves would make a whole, concluding the pool is 1000. Then for the 1/8, do 1000/8. Getting 125. 1000/4 would make it 250. And then taking the 125 from the earlier division of 8 and multiplying by 5 will get you 625. Hope this helps <3
To win a trivia game, Nathan must score at least 105 points. Each correct answer is worth \large 3\frac{1}{3} points, and each incorrect answer is worth \large -\frac{1}{2} . If he gets 33 questions correct and 20 questions incorrect, how many points does he have? Does he win? (yes or no)
Answer:
Nathan earned 100 points. he lost the trivia game by 5 points.
Step-by-step explanation
3[tex]\frac{1}{3}[/tex] * 33 = 110 points earned
[tex]\frac{1}{2}[/tex] * 20 = 10 points lost
110-10 = 100
Nathan earned 100 points. he lost the trivia game by 5 points.
plz help will mark brainlest if correct #7-8 plz
While visiting an orchard, the Williams family picked 98 apples, 49 oranges, 52 lemons, and 103 limes.
Approximately how much fruit did the family pick in total that day?
Answer:
302
Step-by-step explanation:
should be 302 (98+49+52+103) but I would check to make sure all the things listed are considered fruit
Help pleaseeee!!!!!!!!!!
Answer:
I think it's false.
In mathematics, a function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set.
6 has a relation to 5 and 10.
Answer:
No it's not a function
Step-by-step explanation:
there are 35 students in art class and 57 students in dance class. Find the number of students who are either in art class or in dance class
Answer:
hope it helps you
Step-by-step explanation:
Let
A be the set of students in art class
B be the set of students in dance class
n(A) = 35
n(B) = 57
a) When 2 classes meet at different hours and n(A ∩ B) = 12 we have:
n(A ∪ B) = n(A) + n(B) - n(A ∩ B) = 35 + 57 - 12 = 80
b) When two classes meet at the same hour we have A∩B = ∅ that is n(A ∩ B) = 0 and
n(A ∪ B) = n(A) + n(B) - n(A ∩ B) = n(A) + n(B) = 35 + 57 = 92
The perimeter of an equilateral triangle is 96 inches. If the length of each side is (2x + 6), find the value of x.
An equilateral triangle has three equal sides. Let's try to first find the actual value of each side of the triangle!
1. Let's first find the length of each side of the triangle in inches based on the information we know!96 inches is the perimeter of the triangle. The triangle has three equal sides. We can find the length of each side by dividing 96 inches by 3!
96 / 3 = 31 inches
The length of each side in the equilateral triangle is 31 inches.
2. Now, let's find x using the information we know!We know that the length of each side is 2x + 6, and we previously found that the length of each side in the equilateral triangle is 31 inches. We are trying to find x, so we can create an equation and isolate x!
31 = 2x + 6
-6 -6
25 = 2x
÷2 ÷2
12.5 = x
Yay, we just found x! That's the answer! Feel free to ask any questions if you need help. I'm not here to judge; I'm here to help. :)
cuál es el factor de 81
PLEASE ANSWER FAST
the perimeter of a triangle is equilateral. What is the length of 1 side of the triangle? write as an expression
Need help with number 13
Answer:
x = 19
Step-by-step explanation:
the question tells you that the angle CBD is 90°.
so, that means that angle DBE and angle CBE add up to 90.
using this, you can make the following equation:
2x - 1 + 5x - 42 = 90
2x + 5x + -43 = 90
7x - 43 = 90
add 43 to both sides
7x = 90 + 43
7x = 133
x = 133/7
x = 19
Convert the following from scientific notation to standard notation: 3.09X10^-2
Given the function f(x) = 3x-7, which of the following represents f -1(x)?
-3x+7
Step-by-step explanation:
The entire function f is being multiplied by -1, -1 isn't being plugged in for x in this case.
f -1(x)= -1(3x-7)
f -1(x)= -3x+7
If ABCD = QRST , m∠A = x - 10, and m∠Q = 2x - 30, what is m∠A?
Answer:
m<A = 10
Step-by-step explanation:
Answer:
10 degrees
Step-by-step explanation:
See https://brainly.com/question/11662137?referrer=searchResults
Find the length of the missing side.
1.
35 m
21 m
You are playing a video game. For each diamond you collect, you earn 100 points. You also earn 75 bonus points by completing the level in less than 2 minutes. You need to earn more than 1575 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.
Answer:
The data that we have is:
For each diamond, you earn 100 points.
If you complete the level in less than 2 minutes, you earn a bonus of 75 points.
You want to earn more than 1575 points.
Now, assuming that you want to write and solve n inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.
Because you end in less than 2 minutes, then you have the bonus of 75 points.
Then the number of points as a function of d, the number of diamonds, is:
P(d) = 100*d + 75
And you want that:
P(d) > 1575
100*d + 75 > 1575
Now we can solve this for d.
100d > 1575 - 75
100d > 1500
d > 1500/100
d > 15
You must collect more than 15 diamonds.
3 - +4 - = ?
4 4
OA.
3
7 -
4
OB.
4
3
8
OC.
8
OD. 7
PLEASE HELP AGAIN ?! stuck :(
Write a compound inequality for the graph shown below. Use z for your variable.
Answer:
wat happened to yoi
are u fine
find all solutions to the equation in the interval [0,2n) cos x = sin 2x
Answer:
[tex]\huge\boxed{x\in\left\{\dfrac{\pi}{6};\ \dfrac{\pi}{2}\ \dfrac{3\pi}{2};\ \dfrac{5\pi}{6}\right\}}[/tex]
Step-by-step explanation:
[tex]\cos x=\sin2x\qquad|\text{use}\ \sin\theta=2\sin\theta\cos\theta\\\\\cos x=2\sin x\cos x\qquad|\text{subtract}\ \cos x\ \text{from both sides}\\\\0=2\sin x\cos x-\cos x\\\\2\sin x\cos x-\cos x=0\qquad|\text{distribute}\\\\\cos x(2\sin x-1)=0\iff\underbrace{\cos x=0}_{(1)}\ \vee\ \underbrace{2\sin x-1=0}_{(2)}[/tex]
[tex](1)\\\cos x=0\Rightarrow x=\dfrac{\pi}{2}+k\pi;\ k\in\mathbb{Z}[/tex]
[tex](2)\\2\sin x-1=0\qquad|\text{add 1 to both sides}\\\\2\sin x=1\qquad|\text{divide sides by 2}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi[/tex]
[tex]\text{From}\ (1)\ \text{and}\ (2)\ \text{we have}\\\\x=\dfrac{\pi}{2}+k\pi\ \vee\ x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi\\\\\text{We have the interval}\ x\in[0;2\pi).\ \text{Therefore the solution is:}\\\\x\in\left\{\dfrac{\pi}{6};\ \dfrac{\pi}{2}\ \dfrac{3\pi}{2};\ \dfrac{5\pi}{6}\right\}[/tex]
Because it is given that <6 and <14 are congruent, and <10 and <15 are congruent. <14 is congruent to <15 , and <10 is congruent to <11 because of the
PART A:
vertical angles theorem?
alternate exterior angles theorem?
same side interior theorem?
PART B:
By the
Transitive Property
Reflective Property
Substitution Property
PART C:
Alternate Interior Angles
Corresponding Angles
Vertical Angles
Answer:
Did you ever figure it out? I need the answer :/
Step-by-step explanation:
Four bunches of seedless black grapes costs $8. How many bunches can you buy for $20
Answer:
Hi there
Your answer is
10 Bunches
Step-by-step explanation:
4 bunches= 8$
/8 for how many bunches per 1$
.5bunches= 1$
*20
10bunches=20$
Four students took an exam the fraction of the total possible points that each received is given which students had the highest score. If students receive a whole number of points on every exam item can the exam be worth 80 points
Answer:
4% out of 100
Step-by-step explanation:
4% out of 100 students took the exam
Jamaal is mixing blue and yellow paint to make green. He adds 2 parts blue paint to 2 parts yellow paint.
For every 1 part blue paint, there
yellow paint.
Jamaal is not happy with thecolor and adds 1 more part of blue paint. This will make the green paint more
For every 1 part blue paint, there
✔ is 1 part
yellow paint.
Jamaal is not happy with the color and adds 1 more part of blue paint. This will make the green paint more
✔ blue
.
5, -10, 15, – 20, 25
Answer:
...-30, 35, -40, 45,-50
Step-by-step explanation:
Following the pattern I saw this was the answer
what are cordinate planes
Answer:
hey you can use google
Step-by-step explanation:
first write your question then look for useful answers
Answer:
where points are on a grid
Step-by-step explanation:
Only right answers get five stars and a thanks.
Answer:
y = 5/4x + 9
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
m = 5/4
Random point (-8, -1)
y = 5/4x + b
Step 2: Find y-intercept b
-1 = 5/4(-8) + b
-1 = -10 + b
b = 9
Step 3: Write linear equation
y = 5/4x + 9
ANSWER ASAP!!!!
The perimeter of a rectangle is 54 cm. The width is three cm more than the length. What are the dimensions of the rectangle?
The length of the rectangle is __ cm and the width is __ cm.
Answer: length = 12 width = 15
12 times 2 = 24
12 + 3 = 15
15 times two is 30
30 plus 24 is 54
