Answer:
The correct answer is B) x equals quantity of 2 plus or minus 2i square root of 2 all over 3.
Step-by-step explanation:
We are given the following quadratic equation:
[tex]-3x^2-4x-4 = 0[/tex]
Since, it cannot be factorized so we will use the quadratic formula:
x = [tex]\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]
Substituting in the values of a, b and c in the above formula to get:
x = [tex]\frac{-(-4)+-\sqrt{(-4)^2}-4(-3)(-4) }{2(-3)}[/tex]
x = [tex]-\frac{2}{3} +i \frac{2\sqrt{2} }{3}[/tex], x = [tex]-\frac{2}{3} -i \frac{2\sqrt{2} }{3}[/tex]
Therefore, the correct answer option is B) x equals quantity of 2 plus or minus 2i square root of 2 all over 3.
PLEASE HELP// 40 points
In the coordinate plane shown, how far apart are points E and D? Explain how you can use the Pythagorean theorem to determine this.
Answer:
c is approximately 11.66 units
Step-by-step explanation:
Point E is at coordinates (-3, 5)
Point D is at coordinates (3 ,-5)
Making a right triangle
The x distance is (3--3) = (3+3) 6
and the y distance is (5--5) = (5+5) = 10
We can use the Pythagorean theorem to calculate the hypotenuse, which is the distance from E to D
a^2 + b^2 = c^2
6^2 + 10^2 = c^2
36+ 100 = c^2
136 = c^2
Take the square root of each side
sqrt(136) = sqrt(c^2)
We only take the positive square root since the distance must be positive.
sqrt(4)sqrt(34) = c
2sqrt(34) = c
c is approximately 11.66 units
3 months ago Santos could walk 2 miles in 40 min. today he can walk 2 miles in 25 min. find percent of change
Answer:he got faster
Step-by-step explanation:
If Joyce reads 1/6 of her book on Monday, 2/5 of her book on Tuesday, and 1/3 of her book on Wednesday, what part of her book does she read?
Answer:
1/2 + 1/5 + 4/5 + 2/3 = 19/6=3 1/6
Hope that helps feel free to ask more questions
Brainliest??
Final answer:
Joyce has read 9/10 of her book over the course of three days by adding together the fractions of the book she read each day and simplifying the result.
Explanation:
To determine the part of the book Joyce has read over the three days, we need to add the fractions representing the parts read each day. On Monday, Joyce reads 1/6 of her book, on Tuesday she reads 2/5, and on Wednesday she reads 1/3. Thus, we add these fractions together.
The Least Common Denominator (LCD) for 6, 5, and 3 is 30. We convert each fraction to have this common denominator:
1/6 = 5/302/5 = 12/301/3 = 10/30Now, we sum the fractions:
5/30 + 12/30 + 10/30 = (5 + 12 + 10)/30 = 27/30
27/30 can be simplified to 9/10 after dividing both numerator and denominator by 3. So, Joyce has read 9/10 of her book over the three days.
Which expression is equivalent to 3 square root 27x^18? 3x^3 3x^6 9x^3 9x^6
Answer:
3 x^6
Step-by-step explanation:
I believe you are asking for the cube root of (27x^18)
(27 x^18) ^ (1/3)
I will use the property (ab)^c = a^c * b^c
27 ^ 1/3 * x^18 ^ 1/3
Now I can use the property a^ b^ c = a^ (b*c)
3 * x^( 18* 1/3)
3 * x^ (6)
3 x^6
Find the height of the liquid in the glass pictured. Show all steps.
Answer:
6.32 cm.
Step-by-step explanation:
We can see that the given glass is in form of a cone.
To find the height of liquid in glass we will use formula:
[tex]h=\sqrt{l^2-r^2}[/tex], where,
h= Height of cone.
l= Slant height of cone.
r= Radius of cone.
We can see from our figure that diameter of cone is 6 cm, so radius of cone will be half of 6 cm, that is 3 cm.
We have been given slant height equals to 7 cm.
Let us substitute our values in above formula to find the height of liquid in the glass.
[tex]\text{Height of liquid in the glass}=\sqrt{7^2-3^2}[/tex]
[tex]\text{Height of liquid in the glass}=\sqrt{49-9}[/tex]
[tex]\text{Height of liquid in the glass}=\sqrt{40}[/tex]
[tex]\text{Height of liquid in the glass}=6.3245553203367587\approx 6.32[/tex]
Therefore, the height of liquid in the glass is 6.32 cm.
is the following a function?
Answer:
yes it's a function
The graph is not a function as different input but the same output.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function that is periodic.
If we draw a horizontal line it will intersect the graph at more than one points which lead to different input but the same output so the graph is not a function
learn more about functions here :
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bring the fraction 12/y−x to a denominator of x−y
i would really appreciate it thx
Final answer:
To convert the fraction 12/(y-x) to have a denominator of (x-y), you multiply both numerator and denominator by -1, resulting in the fraction -12/(x-y).
Explanation:
To bring the fraction 12/(y−x) to a denominator of (x−y), realize that y−x is essentially -(x−y). This means we can multiply the numerator and denominator by -1 to get the desired denominator. The step-by-step process would be:
Begin with the original fraction: 12/(y−x).Recognize that y−x is the negative of (x−y). So, y−x = −(x−y).Multiply the numerator by -1 and the denominator by -1: (12 * -1)/((y−x) * -1).This simplifies to: -12/(x−y).Now, the fraction 12/(y−x) is expressed with the desired denominator (x−y) as -12/(x−y).
3/5=6/x+3 solve this proportion
Answer:
x = 7
Step-by-step explanation:
given [tex]\frac{3}{5}[/tex] = [tex]\frac{6}{x+3}[/tex] ( cross-multiply )
3(x + 3) = 30 ( divide both sides by 3 )
x + 3 = 10 ( subtract 3 from both sides )
x = 7
and [tex]\frac{3}{5}[/tex] = [tex]\frac{6}{10}[/tex] ← check
find the dimensions of a rectangle with perimeter 74cm if the width and length are consecutive
Answer:
L = 19
W = 18
Step-by-step explanation:
Equation
P = 2*(L + W) Let the Width = WThen the Length = W + 1Givens
P = 74The two consecutive numbers are one after the other.Solution
2*(L + W) = 74 Substitute W + 1 for L 2(W + 1 + W) = 74 Combine like terms on the left2(2W + 1) = 74 Remove the brackets on the left4W + 2 = 74 Subtract 2 from both sides.4W + 2 - 2 = 74 - 2 Combine4W = 72 Divide by 44W/W = 72/4 Do the divisionW = 18L = 18 + 1 = 19Note: If the assumption is incorrect, please finish your sentence with odd or even consecutive numbers. I've used the word consecutive to be un modified. That way consecutive means one number after another.
the heights of subjects in a clinical trial of a new drug is it qualitative or quanitative?
Answer:
The heights of subjects in a clinical trial of a new drug is a quantitative data.
Step-by-step explanation:
Qualitative: If a data represents characteristics, color, quality and it is non-numerical in nature, then it is known as qualitative data.
For example:- favorite color, game, hobby, etc.
Quantitative: If a data represents numerical values, then it is known as qualitative data.
For example:- height, weight, age, etc.
The heights of subjects in a clinical trial of a new drug can be represented by numerical values.
Therefore the heights of subjects in a clinical trial of a new drug is a quantitative data.
[tex]6m^{2} + 12m = 0[/tex]
Factor out the common term 6m
6m(m + 2) = 0
Solve for m
When will m(m + 2) equal zero?
When m = 0 or m + 2 = 0
Solve each of the equations above
m = 0, -2
The side lengths of the state flag of Colorado are in the ratio 2:3. If the flag is 12 feet long, what is it’s height
Answer:
18 feet
Step-by-step explanation:
Let the height be x
We are given that The side lengths of the state flag of Colorado are in the ratio 2:3.
Length: Height = 2:3
Length of the flag is 12 feet long
Length : Height = 12:x
So, ATQ
2:3::12:x
[tex]\frac{2}{3}=\frac{12}{x}[/tex]
[tex]x=\frac{12 \times 3}{2}[/tex]
[tex]x=18[/tex]
Hence it’s height is 18 feet
To find the height of the Colorado state flag, we can use the given ratio of side lengths and solve for the unknown height using a proportion.
Explanation:To find the height of the Colorado state flag, we can use the given ratio of side lengths – 2:3. Since the given length is 12 feet, we can set up the ratio equation as follows:
2/3 = 12/x
To solve for x, we can cross multiply:
2x = 3 * 12
Simplifying further, we get:
2x = 36
Dividing both sides by 2, we find that:
x = 18
Therefore, the height of the Colorado state flag is 18 feet.
I need help ASAP this is 5th Grade Math!
Answer:
Yes there is enough.
Step-by-step explanation:
There is 992 computers, you divide 992 by 90 (90 schools) and you would get 11. There would 11 computers for each school.
Answer:
Yes, there are enough computers.
Step-by-step explanation:
You would take 992 and divide it by 90 which gets you 11. Then for double checking your answer divide 992 by 11 you would get 90. Making everything line up with what the word problem states.
Help with recursive Arithmetic sequence
Answer:
Slope is 5, y-int is 1, and f(n) = 5n+1
Step-by-step explanation:
So, since we are dealing with an arithmetic sequence, it is linear. If you notice, it is just adding 5 from the previous term. This represents a slope of 5. Increase of 1 in x and increase of 5 in y. Then, f(1) = 6. Since 1 x 5 is 5, and 5 + 1 = 6, the b is 1. This is because the normal 5x is deviated by 1. Since it is arithmetic, that 1 unit deviation will carry on. The last question basically says just write the y=mx + b but just use n and f(n), which is f(n) = 5n + 1.
Kyle got in the elevator on the 7th floor. He rode up 2 floors and then down 5 floors. Which expression represents the floor Kyle is on now?
Answer:
7+2-5=f
Step-by-step explanation:
Draw a number line.
Imagine the ground as zero. If Kyle is 7 floors up, then he would be at positive 7.
If he goes up two more floors, he is adding, since he is getting farther away from "zero" or the ground floor.
If he goes down 5 floors, then he would be subtracting 5, since he is going down closer to ground floor.
Hope this helps! (Brainliest please!)
What is the probability help me ,1.)3/72 2.)3/20,3.)3/10,4.)17/20
Answer:
3/10
Step-by-step explanation:
add 7+4+6+3=20the take how many times both coins landed on heads which is 6 and put the 6 over 20then divide by 2 because 2 can go into both 6 and 20and you end up with 3/10 which you can't simplify any more.Evaluate the expression x+4/3x when x=2
Final answer:
To evaluate the expression x + 4 / 3x for x=2, substitute 2 into the expression and solve. For the plus sign, the result is 1, and for the minus sign, the result is -1/3.
Explanation:
To evaluate the expression x + 4 / 3x with x=2, we perform the following steps:
First, we plug in the value of x into the expression,
For the plus sign in the numerator: (2 + 4) / (3 × 2) = 6 / 6 = 1For the minus sign in the numerator: (2 - 4) / (3 × 2) = -2 / 6 = -1/3Therefore, when evaluating for both signs in the numerator, we get x = 1 for the plus sign and x = -1/3 for the minus sign.
What is the slope intercept form for this graph ? Please answer !!
Slope intercept form:
y = mx + b
where m is the slope and b is the y-intercept.
Look at your graph. The Y-Intercept is +4. Plug it into your equation:
y = mx + 4
Look at your graph. The slope is (rise/run) - find two whole points and (rise/run). Take (-1, 1) (p1) and (0,4) (p2). Rise up 3 and run right 1 from p1 to reach p2.
y = (3/1)x + 4
y = 3x + 4
35 Points!
Three-tenths of the total volume, v, of water in a bucket spills.
Which statement explains why 310x and 0.3x can each find the volume of the water that spilled?
The fraction 310 is equivalent to the decimal 0.03. Therefore, 310x can be rewritten as 0.03x.
The expressions are not equivalent.
Multiplying by 3 is the same as multiplying by 30%.
Multiplying by 310 is the same as multiplying by 30%.
Answer:
The expressions are not equivalent.
Step-by-step explanation:
Three-tenths of the total volume, v = [tex]\frac{3}{10} (v)[/tex]
= 0.3 × v --- (1)
But, 310x is 310 × v --- (2)
Since (1) and (2) represent the same volume,
0.3 × v = 310 × v
Divide both sides by v,
0.3 = 310 which is a contradiction.
Therefore, the expressions are not equivalent.
The square of a whole number is between 4500 and 4900. The number must be between...
55 and 60
60 and 65
65 and 70
70 and 75
The square of a whole number between 4500 and 4900 must be between 67 and 69, hence the number is in the range of 65 to 70 excluding 70.
The student's question involves finding the whole number whose square falls between 4500 and 4900. To solve for the range of whole numbers, we need to take the square root of both limits. Since the square root of 4500 is approximately 67.08 (rounded down to the nearest whole number is 67) and the square root of 4900 is exactly 70, the whole number must be between 67 and 70. However, since 70 squared gives us 4900, we exclude it from the possible numbers. Therefore, the possible numbers are 67, 68, and 69, which means the correct answer is between 65 and 70.
It costs Edgar $2.65 one way to ride the bus to work. He uses the bus to go to and from work fourdays per week. He buys a bottle of water that costs $1.45 on his way to work each day. How muchdoes it cost Edgar to ride the bus and buy water for one week?
Answer:
$27 per week.
Step-by-step explanation:
Multiply:
$2.65 x 8 (twice per day)= $21.20
$1.45 x 4 (once oer day)=$5.80
Add those together to get $27 per week.
Rob is saving to buy a new MP3 player. For every $16 he earns babysitting, he saves $6. On Saturday, Rob earned $32 babysitting. How much money did he save?
Answer:
For every $16 Rob would get $6.
So for $32 it would be double since 32 is 2x more than 16 ¯\_(ツ)_/¯
The answer would be 6 x 2 or $12.
$12 is the answer.
Step-by-step explanation:
If you can please mark brainliest :3
Answer:
He saved $12.
Step-by-step explanation:
32/16 = 2
2 x 6 = 12
At Friday's football game, 1,294 tickets were sold for a total amount of $8,816.00. If each student ticket costs $5.00, and each adult ticket costs $8.00, how many student tickets were purchased?
Answer:
512 student tickets.
Step-by-step explanation:
Let x be number of student tickets and y be number of adult tickets.
We have been given that at Friday's football game 1,294 tickets were sold. We can represent this information as:
[tex]x+y=1294...(1)[/tex]
We are also told that each student ticket costs $5.00, and each adult ticket costs $8.00 and 1,294 tickets were sold for a total amount of $8,816. We can represent this information as:
[tex]5x+8y=8,816...(2)[/tex]
From equation (1) we will get,
[tex]y=1294-x[/tex]
Substituting this value in equation (2) we will get,
[tex]5x+8(1294-x)=8,816[/tex]
[tex]5x+10352-8x=8,816[/tex]
[tex]-3x+10352=8,816[/tex]
[tex]-3x=8,816-10352[/tex]
[tex]-3x=-1536[/tex]
[tex]x=\frac{-1536}{-3}[/tex]
[tex]x=512[/tex]
Therefore, 512 student tickets were purchased at Fridays football game.
how to solve this problem in the picture above
Answer:
g=4
Step-by-step explanation:
If you're solving for g, you need to get it alone on one side. The way I did so was to subtract 7 from each side.
15 = 2g + 7
-7 -7
If you do that, the 7 on the right cancels out and you're left with 8 = 2g. To get the g alone, you divide it by it's base on both sides which in this case is 2.
8/2 = 2g/2
That will cancel the 2 out and will leave you with g on the right side and on the left side would be 4 because simple division (8/2=4)
Your final answer should be g = 4
Item 18
Question 1
Of the students in your class, 12% are left-handed. What fraction of the students are left-handed? Are there more right-handed or left-handed students? Explain. Write your answers in simplest form.
of the students are left-handed.
of the students are right-handed.
A comparison of these two fractions is:
Final answer:
In a classroom with 12% left-handed students, the fraction representing them is 3/25 after simplification, and with 88% right-handed students, their fraction is 22/25. Since 22/25 is greater than 3/25, there are more right-handed students.
Explanation:
If 12% of the students in your class are left-handed, the fraction of students that are left-handed is 12/100, which can be simplified to 3/25 by dividing both the numerator and the denominator by 4. There are clearly more right-handed students because if 12% are left-handed, then 100% - 12% = 88% are right-handed. The fraction of right-handed students is 88/100, which simplifies to 22/25. Comparing the two fractions, 3/25 for left-handed students and 22/25 for right-handed students, it’s evident that there are more right-handed students in your class.
Please help me fast !!!!!!!
Answer: A. Frederico raised the most money.
Step-by-step explanation:
The easiest way to look at it is to convert the fractions into decimals.
1. 6/7 = .857
2. 5/9 = .3 repeating
3. 11/10 = 1.1
So, when it is put into decimals it is easier to understand who raised the most money (Frederico).
Hope this helps :)
On your math quiz, you earn 5 points for each question that you answer correctly. In the equation below, x represents the number of questions that you answer correctly on your math quiz, and y represents the total number of points that you score on your quiz. The relationship between these two variables can be expressed by the following equation:
y = 5x
What is the dependent and independent variable ?
Answer:
x-independent
y-dependent
Step-by-step explanation:
Dependent variable: y because you get the points by doing the quiz.
Independent variable: x because you don’t know how many questions you answered correctly.
Total points you score: Unknown until you know how many you got right also the same as y.
Number of questions you answer correctly: Unknown until you get your paper back, also the same as x.
Read more on Brainly.com - https://brainly.com/question/9741421#readmore
What 0.034 in word form
Thirty-four thousandths.
What are the slope and y-intercept of the line?
Slope : rate of change = 2/3 x
Y- int : where the line touches the y axis. Hence, 4
Answer:
Hope this helps!
Step-by-step explanation:
The slope is 2/3
the Y-intercept is 4
y=mx+b
m=slope
b=y-intercept
One store sells milk for $3.00 per gallon. A second store sells milk for $0.80 per quart. Formulas If you need two gallons, which store should you buy from?
Answer:
You should buy from the first store
Step-by-step explanation:
Since there are 4 quarts in a gallon, we will need to multiply .80 by 8 to figure out how much it costs for 2 gallons. This will be $6.40 for the second store, and in order to find out how many the first store offers, we multiply 3 by two, which is six.
So, the first store charges $6.00 for two gallons, and the second store does $6.40 for two gallons of milk
Answer:
The first store.
Step-by-step explanation:
This is easy, multiply 0.80 x 4 since there are four quarts in a gallon. You get 3.20. Then, multiply 3.20 by 2 to get 6.40 and 3.00 by 2 to get 6.00.
So
Store number one: $6.00
Store number two: $6.40