The solution of the given equation is x=2i or x=-2i. So, the roots of the equation has imaginary roots.
The given quadratic equation is 3x²=-12.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
Now, the solution of the given equation is
3x²=-12
⇒ x²=-4
⇒ x=±√(-4)
⇒ x=±2i
Hence, the solution of the given equation is x=2i or x=-2i. So, the roots of the equation has imaginary roots.
To learn more about the solution of quadratic equation visit:
https://brainly.com/question/18305483.
#SPJ1
19 POINTS the answer is not the first or second option I’m maybe think the last one
30 secs on battery hurry for brainles
Answer:
[tex]8\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{17}{2}=[/tex] [tex]8\frac{1}{2}[/tex]
17 ÷ 2 = 8.5
8.5 as a mixed number is [tex]8\frac{1}{2}[/tex].
Answer:
It is 8 1/2
Step-by-step explanation:
;)

HELP PLs. ITS URGENt! NO LINKS! PLS FIND VOLUME. ITS 20 POINTS!
Answer:
69
Step-by-step explanation:
Answer:
277 ft³
Step-by-step explanation:
40+40+28+28+18+18+42+42+21 = 277
If AJKL ~ AQRS,
find the value of x:
Answer:
14
Step-by-step explanation:
24/36=(x+4)/(2x-1)
Hey can someone help?
Answer:
V = 144
Step-by-step explanation:
Formula for volume of a rectangular prism:
V = whl
Given:
w = 3
h = 8
l = 6
Work:
V = whl
V = 3(8)(6)
V = 144
e is 150% more than d . what is the ratio d:e in its simplest form? what is the ratio e:d in the form 1::n
Answer:
d:e is 2:3
Step-by-step explanation:
if 'e' is 150% more than 'd' we can say that 'e' is 1.5 and 'd' is 1
ratio of 1/1.5 or 1÷3/2 is 2/3
In a psychology class, 57 students have a mean score of 96.7 on a test. Then 12 more students take the test and their mean score is 75.7. What is the mean score of all of these students together? Round to one decimal place. mean of the scores of all the students =
Answer:
93.0
Step-by-step explanation:
96.7 x 57 = 5511.9
75.7 x 12 = 908.4
now add them
5511.9 + 908.4 = 6420.3
now find total students
57 + 12 = 69
now divide to find mean of all scores
6420.3/69 = 93.0478
Amy is going on a 4 1/4 mile hike She has already hiked 2 3/4 miles. How many more miles does she have left to hike?
Answer:
2 1/4 left to hike
Step-by-step explanation:
2+2=4 3+1=4
Amy have 1 1/2 miles left to hike.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation
For the given situation,
Amy is going on a hike = 4 1/4 miles
She already hiked = 2 3/4 miles
Amy's distance left to hike,
⇒ [tex]4\frac{1}{4} -2\frac{3}{4}[/tex]
⇒ [tex]\frac{17}{4} -\frac{11}{4}[/tex]
⇒ [tex]\frac{6}{4}[/tex]
⇒ [tex]\frac{3}{2}=1\frac{1}{2}[/tex]
Hence we can conclude that Amy have 1 1/2 miles left to hike.
Learn more about word problems here
brainly.com/question/20594903
#SPJ2
A chi-square goodness-of-fit test using a significance level of α=0.05 was conducted to investigate whether the number of babies born in a town is uniformly distributed across the months of the year. The test produced a test statistic of χ2=5.6 with a corresponding p-value of 0.90. Which of the following is correct?
a) Births are uniformly distributed across months.
b) There is sufficient evidence to suggest that the distribution of births is not uniformly distributed across months.
c) There is sufficient evidence to suggest that the distribution of births is uniformly distributed across months.
d) There is insufficient evidence to suggest that the distribution of births is not uniformly distributed across months.
e) There is insufficient evidence to suggest that the distribution of births is uniformly distributed across months.
Answer:
D
Step-by-step explanation:
test was taken
Damian has a bag that contains strawberry chews, cherry chews, and peach chews. He performs an experiment. Damian randomly removes a chew from the bag, records the result, and returns the chew to the bag. Damian performs the experiment 48 times. The results are shown below: A strawberry chew was selected 16 times. A cherry chew was selected 10 times. A peach chew was selected 22 times. Based on these results, express the probability that the next chew Damian removes from the bag will be cherry or peach as a fraction in simplest form.
Answer: 2/3
Step-by-step explanation:
The probability that the next chew Damian removes from the bag will be cherry or peach as a fraction in simplest form is 55/576
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability for the strawberry chews:
P(strawberry chews) = 16/48
Probability for the cherry chews:
P(cherry chews) = 10/48
Probability for the peach chews:
P(peach chews) = 22/48
Now the probability of cherry or peach = P(cherry)×P(peach)
[tex]=\frac{10}{48} \times\frac{22}{48}[/tex]
= 220/2304
= 55/576
Thus, the probability that the next chew Damian removes from the bag will be cherry or peach as a fraction in simplest form is 55/576
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
Find the volume of the rectangular prism.
Answer:
147/4 or 36 3/4
Step-by-step explanation:
1 1/2=3/2
3 1/2=7/2
7/2 × 3/2 = 21/4
21/4 × 7 = 147/4
can someone please help me find the missing angles to each variable
Answer:
x=130°
y=50°
z=130°
Step-by-step explanation:
__________
Answer:
x = 130°
y = 50°
z = 130°
Step-by-step explanation:
From the diagram, you can see that the angle given, 50° is a vertical angle to y. This means they are equal, so y = 50°.
Next, angle x, and the given 50° angle are supplementary since they form a straight line. Because of this, you get that:
50° + x = 180°
- and -
x = 130°
You can see that angle z is a vertical angle to angle x, so they are equal, which gives you z = x = 130°. --> z = 130°
Please help. Can someone please give me a short answer
I’ll mark brainliest whoever gets this right.
The circumference of a circle is equal to [tex]\pi[/tex] times the length of the diameter of the circle ([tex]\pi[/tex] is a constant which is approximately equal to 3.14).
Help will give 20 points
Answer:1/3 divided by 6 equals 18
Step-by-step explanation: If you have a cloth that is 1/3 long then divide it by 6 it would look like 1/3 divided by 1/6 which would then equal 1/18.
Select the correct answer.
Ms. Clint is comparing the sales of sweaters and gloves at her store for the past ten winter weeks.
Answer:
B. A linear function with a positive slope.
Step-by-step explanation:
A correlation can be defined as a numerical measure of the relationship existing between two variables (x and y).
In Mathematics and Statistics, a group of data can either be negatively correlated, positively correlated or not correlated at all.
1. For a negative correlation: a set of values in a data increases, when the other set begins to decrease. Here, the correlation coefficient is less than zero (0).
2. For a positive correlation: a set of values in a data increases, when the other set also increases. Here, the correlation coefficient is greater than zero (0).
3. For no or zero correlation: a set of values in a data has no effect on the other set. Here, the correlation coefficient is equal to zero (0).
A linear function has a positive relationship and as such an increase in one variable (input variable) causes an increase in the other variable (output variable) i.e the variables are directly proportional. Thus, the graph of a linear function is a straight-line and it has a positive slope which is always constant.
From the graph, we can deduce that the scatter points lie close to a straight line with a slope that is positive.
Hence, the type of function which best models the relationship between the sales of sweaters and gloves is a linear function.
Mathematically, slope is given by the formula;
[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]
[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
Need help Fast!!!!!!!!!!!!!!!!!! ill give brainlest!!!!!!!!!!!!!!!!
Answer:
The answer is C 13/16 pound
Step-by-step explanation:
Add the fractions together
A balloon is released from the top of a building. The graph shows the height of the balloon over time . What does the slope and y-intercept reveal about the situation ?
A. The starts at a height of 500 ft and rises at a rate of 100 ft.
B. The balloon starts at a height if 0.5 ft and rises at a rate of 10 ft.
C . The gallon starts at a height of 100 ft and rises at a rate of 500 ft .
Help PLZZ NO FILES NO FILES
Answer:
A.) you multiply the 3 and 2
Find the measure of an angle in standard position for each reference angle.
Step-by-step explanation:
1. 90+65= 155°
2. π+ π/6 = 7π/6 or 210°
3. 24+180=204°
4. 3π/2 + 2π/9 = (27π+4π)/18 = 31π/18
or 310°
2. Multiple choice: Which number is an integer?
a. -11/5
b. -7
V15
c.
d. 1/2
Answer:
B. -7
Step-by-step explanation:
An integer is a whole number that is not a fraction.
Examples include: -4, -5, 8, 10, -7, 100, 50, etc.
Answer:
c
Step-by-step explanation:
integer must not be fraction and decimal
6. Lines p and q are parallel, and line w is a transversal.
Answer:
B
Step-by-step explanation:
<2 and <7 are same side exterior angles, so you can say they add up to 180°.
We can write an equation to model the situation:
m<2 + m<7 = 180°
We can substitute the value of m<2,
132° + m<7 = 180°
m<7 = 48°
This is option B.
please help will mark brainlist!!
Answer:
x=28
y=28
Step-by-step explanation:
Equation 1:
Dived both sides by 0.75 to remove 3/4 from x.
(x-12)=16
Now, add 12 to both sides.
x=28
Equation 2:
Same here, divide both sides by 0.75.
y-12=16
Add 12 to both sides.
y=28
Tap A can fill 8 pails of the exact capacity in 5 minutes.
Tap B can fill 7 of the same pails in 4 minutes.
Tap A and B are turned on together to fill a total of 16 pails.
How long will it take the two taps to fill the 16 pails together? Give your answer in minutes and seconds to
the nearest second.
Answer:
4min 47 seconds
Step-by-step explanation:
Together
8pails/5min + 7pails/4min = x
Use common denominator of 20
32/20 + 35/20 = 67pails/20min = 3.35pails/min
16/3.35 = 4.776119403 minutes
4min 60*0.776119403sec
4min 47 seconds
Carlos buys a vintage automobile for $7300. He estimates that the value will increase by 3% every year. Estimate the value of the automobile in ten years.
Answer:
$9810.59
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + r)^t[/tex]
P is principle amountr is ratet is time (in years)Step-by-step explanation:
Step 1: Define
Identify variables
P = 7300
r = 3% = 0.03
t = 10
Step 2: Solve for A
Substitute in variables [Simple Interest Rate Formula]: [tex]\displaystyle A = 7300(1 + 0.03)^{10}[/tex](Parenthesis) Add: [tex]\displaystyle A = 7300(1.03)^{10}[/tex]Evaluate exponents: [tex]\displaystyle A = 7300(1.34392)[/tex]Multiply: [tex]\displaystyle A = 9810.59[/tex]Express the series using sigma notation. 1 + 4 + 16 + ... + 256.
a.
c.
b.
d.
Please select the best answer from the choices provided
A
B
C
D
Answer:
D
Step-by-step explanation:
By looking at the terms, we can notice that each term is 4 times the previous term. This means the series is geometric and we can rule out options A and B because of this. We can find the first terms of both options C and D to get:
first term c: 4
first term d: 1
The first term of our series is one, so that must mean D is the answer.
The acceleration of a particle can be expressed as a(t)= 12-4t^2. If the particle velocity is v(0)=50, the. What is the velocity at t=6
Answer:
The velocity at t = 6 is of -166 units of velocity.
Step-by-step explanation:
Velocity function:
The velocity function is the integral of the acceleration function.
We have that:
The acceleration function is:
[tex]a(t) = 12 - 4t^2[/tex]
So the velocity function is:
[tex]v(t) = \int a(t) dt = \int (12 - 4t^2) dt = 12t - \frac{4t^3}{3} + K[/tex]
In which K is the constant of integration, which is v(0).
v(0)=50
This means that:
[tex]v(t) = 12t - \frac{4t^3}{3} + 50[/tex]
What is the velocity at t=6?
[tex]v(6) = 12*6 - \frac{4*6^3}{3} + 50 = -166[/tex]
The velocity at t = 6 is of -166 units of velocity.
Colin is buying dirt to fill a garden bed that is a 9 ft by 18 ft rectangle. If he wants to fill it to a depth of 4
in, how many cubic yards of dirt does he need? If necessary, round to the nearest cubic yard. If dirt costs
530 per yd, how much will the project cost?
The project will require
|yd of dirt, and will costs
Multiply out and simplify: :
(2x +3)(3x + 5)
I need an answer ASAP
Answer:
second option
+-5 is the answer
please help, seventh grade math problem
Answer:
12
Step-by-step explanation:
divide into two shapes. the first one being 2 x 4 units and the second being 2 x 2.
2 x 4 = 8
2 x 2 = 4
8 + 4 = 12
The answer is 12 square units.
Please mark brainliest if it was correct and helped!
Answer:
12
Step-by-step explanation:
just count the blocks
brainliest please???