Answer:
x= (-3i-√3)/2
x= (3i+√3)/2
Step-by-step explanation:
you have to use the quadratic formula which is (-b±√b^2+4ac)/2(a)
a=1
b=3
c= -3
when you plug the numbers into the formula, you get a negative in the square root, so you have to bring out an Imaginary number which is i and connect it with your -b value.
in this case, you only have to switch out the plus and the minus strictly because of the imaginary number
What is the 10th term in the geometric sequence? (2187, 729, 243, 81, 27)
The 10th term in the geometric sequence can be found by using the common ratio of 1/3 and applying it to the formula T(n) = a1 * r^(n-1). The 10th term is determined to be 1/9.
Calculating the 10th Term of a Geometric Sequence
To find the 10th term in the geometric sequence (2187, 729, 243, 81, 27), we first need to determine the common ratio (r). We can find r by dividing any term by its preceding term. Using the second and first terms, we get:
r = 729 / 2187 = 1/3
With the common ratio identified, we can use the formula for the nth term of a geometric sequence:
T(n) = a1 * r^(n-1)
Where a1 is the first term of the sequence and n is the term number. So, the 10th term (T(10)) is calculated as:
T(10) = 2187 * (1/3)^(10-1) = 2187 * (1/3)^9
To calculate this, we simply apply the exponent to the common ratio:
T(10) = 2187 * 1/19683 = 2187 / 19683 = 1/9
Therefore, the 10th term of the geometric sequence is 1/9.
The following histogram shows the theoretical probability of the number of heads you might get after flipping for coins simultaneously. If you were to flip four coins what is the probability that you get a two or more coins that land heads up?
Answer:
i think this is how you find it but i apologize if im wrong
Step-by-step explanation:
Use binomial probability since there are only two possibilities: success and failure, where success represents getting a heads, and tails being a fail. Therefore we are trying to find P(X=2), which is (42)⋅(0.5)2⋅(0.5)2=0.375.
The probability that you get two or more coins that land heads up is 0.6875.
What is the theoretical probability?Theoretical probability is an approach in probability theory that is used to calculate the probability of an outcome of a specific event.
The following histogram shows the theoretical probability of the number of heads you might get after flipping for coins simultaneously.
If you were to flip four coins what is the probability that you get two or more coins that land heads up is;
Probability = flip 0 coin + flip 1 coin + flip 2 coin
Probability = 0.375 + 0.25 + 0.0625
Probability = 0.6875
Hence, the probability that you get two or more coins that land heads up is 0.6875.
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What is the solution to the following inequality?
4(2x – 6) + 3 < 19
Step-by-step explanation:
sub. 3 from both sides
distribute 4(2x-6)
8x-24<16
add 24 to both sides
8x<40
divide 8 from both sides
x<5
9 10
TIME REMAINING
39:51
What is the slope-intercept form of a line that passes through points (2, 11) and (4, 17)?
y = negative 3 x minus 5
y = 3 x minus 5
y = negative 3 x + 5
y = 3 x + 5
Answer:
3x+5
Step-by-step explanation:
Answer:
D : Y = 3x + 5
Step-by-step explanation:
on edge :) hope this helps
4/10 has how many shaded parts as 2/5
Answer:
the same amount
Step-by-step explanation
4/10 half of four is 2
and half of 10 is 5
which is 2/5
Combine the like terms to create an equivalent expression:
-n+(-4)-(-4n)+6
Answer:
3n+2
Step-by-step explanation:
-n+(-4)-(-4n)+6
Subtracting a negative is like adding
-n+(-4)+(4n)+6
Combine like terms
-n +4n -4 +6
3n +2
3n+2
Solve the problem below by finding a common denominator.
23+12
Answer:
35
Step-by-step explanation:
23 + 12 = 35
= (20 + 10) + (3 + 2)
= 35
Will give brainliest!!!!
helpppp!!!
Answer:
28.4 in
Step-by-step explanation:
A hole the size of a photograph is cut from a red piece of paper to use in a picture frame. On a coordinate plane, 2 squares are shown. The photograph has points (negative 3, negative 2), (negative 2, 2), (2, 1), and (1, negative 3). The red paper has points (negative 4, 4), (4, 4), (4, negative 4), and (negative 4, negative 4). What is the area of the piece of red paper after the hole for the photograph has been cut? 17 square units 25 square units 39 square units 47 square units
Answer: D.
Step-by-step explanation:
First, find the area of the two squares:
The photograph: (-3, -2), (-2, 2), (2, 1), and (1, -3).
The square is diagonally aligned, so we need to find the length between two points in order to find the area.
I will use (1, -3) and (2, 1).
There is a 1 unit length and a 4 unit height. We can use the Pythagorean theorem to find the hypotenuse of the triangle, which is the length of the square's side:
1^2 + 4^2 = x^2
1 + 16 = x^2
x = square root of 17
The side length for the square of the photograph is the square root of 17, so the area of the photograph is 17 units^2.
The red paper has side lengths of 8. The distance between (-4, 4) and (4, 4) is 8 units wide, so we do not need to use the Pythagorean theorem.
Now that we know the area of the red paper and photograph, you can subtract the area to find the red paper with the hole:
64 - 17 = 47 square units.
Answer:
D
Step-by-step explanation:
Let's plot these points (see attachment).
We need to find the area of the paper and then the area of the photograph and subtract the photograph area from the red paper area.
The area of the big paper is easy; the side lengths of the square are 8 by 8, so the area is 8 * 8 = 64 square units.
Now, to find the area of the photograph, we just need the length of one side because it's a square. We use the distance formula between any two adjacent points; let's do (-2, 2) and (2, 1):
d = [tex]\sqrt{(2-1)^2+(-2-2)^2} =\sqrt{1+16} =\sqrt{17}[/tex]
Then the area is (√17)² = 17.
Subtract 17 from 64:
64 - 17 = 47
The area is 47 square units, or D.
Summarize what happens when the number of spins in experimental probability gets closer to 100.
a.
The outcomes get further from the theoretical probability for the same experiment.
c.
The outcomes stay the same.
b.
The outcomes get closer to the theoretical probability for the same experiment.
d.
The sample space gets larger.
Answer:
n sjn a
Step-by-step explanation:
Answer:
b.
The outcomes get closer to the theoretical probability for the same experiment.
Step-by-step explanation:
EDG2021
Need help on this, someone help me.
Answer:
I believe it is B
Step-by-step explanation:
The diameter of a circle with radius of 8 cm is _____________.
Answer:
16 cm
Step-by-step explanation:
Diameter= 2(Radius)
Diameter=2(8)
Diameter=16 cm
The right answer is 16 cm.
You can find diameter by using the formula:
D=r*2
Hope it will help you
The diameter of a circle is 4 cm. Which equation can be used to find its circumference?
C = pi times 2
C = pi times 4
C = StartFraction pi times 4 over 2 EndFraction
C = StartFraction pi times 4 over 4 EndFraction
The correct equation that can be used to find the circumference of the circle is:
C = π x 4.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is pir^2.
We have,
The formula for the circumference (C) of a circle is:
C = π x diameter
We are given that the diameter of the circle is 4 cm.
Substituting this value into the formula, we get:
C = π x 4
Simplifying the expression, we get:
C = 4π
Therefore,
The correct equation that can be used to find the circumference of the circle is:
C = π x 4.
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Olivia is graphing the inequality x greater-than 12. She begins by drawing a number line and placing an open circle at 12.
A number line going from 7 to 17. An open circle is at 12.
Which could be Olivia’s next step?
shading the number line to the left of the open circle
shading the number line to the right of the open circle
shading the number line to the right and left of the open circle
shading in the open circle
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
A jar contains 9 pennies, 10 nickels, 12 dimes, and 5 quarters. A coin is chosen, not replaced, then another is chosen. What is the probability of getting a nickel, then a dime? I need the answer in Fraction form.
Answer:
The probability of getting a nickel, then a dime is 2/21
Step-by-step explanation:
No. of pennies = 9
No. of nickels = 10
No. of dimes = 12
No. of quarters = 5
Total items = 9+10+12+5=36
So, Probability of getting nickel on first draw = [tex]\frac{10}{36}[/tex]
Now the nickle in not replaced
So, Total items = 36-1 = 35
So, Probability of getting dime on second draw =[tex]\frac{12}{35}[/tex]
So, the probability of getting a nickel, then a dime = [tex]\frac{10}{36} \times \frac{12}{35}=\frac{2}{21}[/tex]
Hence the probability of getting a nickel, then a dime is 2/21
Final answer:
The probability of selecting a nickel followed by a dime from a jar filled with various coins, without replacement, is calculated to be 2/21.
Explanation:
The question involves calculating the probability of selecting a nickel and then a dime from a jar containing various coins without replacement. Initially, there are 9 pennies, 10 nickels, 12 dimes, and 5 quarters, totaling 36 coins. To find the probability of selecting a nickel and then a dime, we first calculate the probability of picking a nickel, then multiply it by the probability of picking a dime afterwards.
Probability of selecting a nickel first: 10/36 (as there are 10 nickels out of 36 coins).
After a nickel is selected, there are 35 coins left, including 12 dimes. So, the probability of selecting a dime next is 12/35.
Therefore, the probability of selecting a nickel and then a dime, in that order, without replacement is (10/36) * (12/35) = 120/1260 = 1/10.5, simplifying to 2/21 when expressed in fraction form.
f(x) = 7 -
What is the inverse
Answer:
Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x+7 f - 1 ( x ) = x + 7 is the inverse of f(x)=x−7 f ( x ) = x - 7
Step-by-step explanation:
What is the equation of a line whose slope is 9 and y-intercept is (0, -1)?
Answer:
y = 9x -1
Step-by-step explanation:
The slope is 9 and the y intercept ( where x is zero) is -1
We can use the slope intercept form of the equation is
y = mx+b where m is the slope and b is the y intercept
y = 9x -1
Answer:
y=9x-1
Step-by-step explanation:
y=mx+b
m=9
b=-1
Answer: y=9x-1
Baseball games were played at a stadium on Tuesday, Wednesday, and Saturday. This table shows how many people attended the games on each day.
How many more people attended the game on Saturday than on Tuesday and Wednesday combined?
A. 3,195 people
B. 1,913 people
C. 1,127 people
D. 913 people
Day Attendance
Tuesday 21,827
Wednesday 18,632
Saturday 41,372
Answer:
D. 913 people
Step-by-step explanation:
how can you compare properties of two functions each represented in a different way
Properties of functions can be compared graphically using line graphs, bar graphs, or pie charts or algebraically. Ensure you're comparing similar properties like domain, range, minima, or maxima among others. Keep in mind the old rule, you can't compare apples and oranges - make sure quantities you are comparing are dimensionally consistent.
Explanation:Comparing properties of two functions each represented in a different way can incorporate various methodologies including algebraically or graphically analyses. This comparison can be facilitated using different kinds of plots such as line graphs, pie charts, or bar graphs. The key is to ensure you are comparing similar properties of the functions such as domains, ranges, minima, maxima, or continuity to name a few.
Line graphs are particularly useful in depicting relationships between two variables where one is on the x-axis and the other on the y-axis. This can be used to reveal trends, patterns or comparisons in the data. Pie charts illustrates how something is apportioned or distributed such as amounts or categories. Each slice signifies a proportion of the whole. Bar graphs, on the other hand, utilise the height of bars to depict relationships. Each bar represents a particular entity or category, and can also be subdivided for more comprehensive insights.
Remember, it's vital that you're comparing apples to apples - in other words, that the quantities or aspects of the functions you're comparing are dimensionally consistent.
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Igor recently immigrated to the UK. He was an experienced surgeon in his country but had to re-do his medical training in order to work in the UK.
a) Which point on the graph represents Igor's data?
b) The managing director of this hospital concludes that the salary of a surgeon is linked to their age. Give one reason why the scatter graph might support this conclusion.
(I know that the answer is that it correlates positively but you need this for the next question to make sense.)
c) How could we make this conclusion more reliable?
a) Igor's data point on the graph represents his salary and age after re-doing his medical training in the UK. b) The scatter graph might support the managing director's conclusion that salary is linked to age if there is a positive correlation between age and salary. c) To make the conclusion more reliable, other factors like years of experience and specialization should be considered.
Explanation:a) Igor's data point on the scatter graph would represent his salary and age after re-doing his medical training in the UK. This data point would likely be separate from the other data points for experienced surgeons in the UK.
b) The scatter graph might support the managing director's conclusion that salary is linked to age if there is a positive correlation between age and salary for the surgeons in the data. This means that as age increases, salary also tends to increase.
c) To make the conclusion more reliable, additional factors should be taken into account, such as years of experience, specialization, and performance ratings, as these factors may also contribute to salary differences among surgeons.
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help on this please i need help so much
solve for x^2 + 12x + 27=0
Step-by-step explanation:
everything has been explained in the image above
Suzanne needs material for her school project. She buys 3 1/4 yards of material at &2.50 a yard. What is the total cost of the material? Round to the nearest cent.
We have been given that Suzanne needs material for her school project. She buys 3 1/4 yards of material at &2.50 a yard. We are asked to find the total cost of the material.
To find the total cost of material, we will multiply the total yards of material by cost of material per yard as:
[tex]\text{Total cost of material}=\$2.50\times 3\frac{1}{4}[/tex]
[tex]\text{Total cost of material}=\$2.50\times \frac{13}{4}[/tex]
[tex]\text{Total cost of material}=\$0.625\times 13[/tex]
[tex]\text{Total cost of material}=\$8.125[/tex]
Upon rounding to nearest cent, we will get:
[tex]\text{Total cost of material}\approx \$8.13[/tex]
Therefore, the total cost of the material would be $8.13.
In the diagram below, OA I OC. Find the value of x. Show your work.
The point where two lines meet is known as an angle. The value of x if OA is perpendicular to OC is 30 degrees
What is line geometry?The point where two lines meet is known as an angle.. From the given diagram;
(180 - 4x) + x = 90
Simplify the result
180 - 3x = 90
Subtract 180 from both sides
-3x = 90 - 180
-3x = -90
Divide both sides by -30
x = 90/3
x =30degrees
Hence the value of x if OA is perpendicular to OC is 30 degrees
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What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)?
ОООО
A:3B:4C:5D:9
Answer:
x=4
Step-by-step explanation:
1.5(x + 4) - 3 = 4.5(x - 2)
Distribute
1.5x +6 -3 = 4.5x -9
Combine like terms
1.5x +3 = 4.5x -9
Subtract 1.5x from each side
1.5x -1.5x +3 = 4.5x -1.5x -9
3 = 3x-9
Add 9 to each side
3+9 = 3x-9+9
12 = 3x
Divide each side by 3
12/3 =3x/3
4=x
Answer:
B. 4
Step-by-step explanation:
Remember the acronym: PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction).
P: The expressions in the parentheses are not solvable as they are.
E: There are no exponents.
M: On the left, multiply 1.5 by x, giving you 1.5x, and by 4, giving you 6. We now have 1.5x + 6 -3 on the left. On the right, do the same. Multiply 4.5 by x, giving you 4.5x, and then multiply 4.5 by -2, giving you -9. Our expression is now 1.5x + 6 - 3 = 4.5x - 9.
D: There is no division in the problem.
A: There is no addition in the problem.
S: Subtract the 3 from the 6 on the left:. We now have 1.5x + 3 = 4.5x - 9.
Now that were all simplified, lets solve. Subract 1.5x from both sides so that only one side has x, so it can be solved. We now have 3 = 3x - 9.
Add 9 to both sides, to simplify even further. We now have 12 = 3x.
For the final step, we need to isolate x. To do this, we need to get rid of the coefficient. We know that 3 and x are being multiplied, so we can just divide to undo it. Keep in mind that we need keep both sides equal, so we divide both sides. By what? By 3. Now, we have our final answer:
x = 4
Simplify to create an equivalent expression.
Answer:
-8p-80
Step-by-step explanation:
The equivalent expression of the expression 4 (- 15 - 3p) - 4 (- p + 5) is (- 8p - 80). Hence option 1 is true.
Used the concept of the equation that states,
Mathematical expression is defined as the collection of numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that,
The equation is,
4 (- 15 - 3p) - 4 (- p + 5)
Now simplify the expression by combining like terms and applying distributive property,
4 (- 15 - 3p) - 4 (- p + 5)
Apply distributive property,
- 60 - 12p + 4p - 20
- 8p - 80
Therefore, option 1 is true.
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Which answer choice shows the decimals in order from least to greatest?
A. 1.121, 1.53, 1.432, 1.21
B. 1.53, 1.432, 1.21, 1.121
C. 1.21, 1.121, 1.432, 1.53
D. 1.121, 1.21, 1.432, 1.53
If the probability of a student spending time reading is 0.10, the probability of spending time watching TV is 0.90, and the probability of spending time reading and watching TV is 0.03, what is the probability of a student spending time reading or watching TV?
Answer:
0.103
Step-by-step explanation:
Answer:
0.103
Step-by-step explanation:
I need help with this math problem.
Answer:
X= 12
Y=-3
Step-by-step explanation:
If ΔEFG ~ ΔLMN with a ratio of 2:1, which of the following is true?
A) segment EF over segment LM equals segment FG over segment MN
B) segment EF is congruent to segment LM
C)segment EF over segment LM equals segment EG over segment LM
D)segment EG is congruent to segment LM
Answer:
i think it is A
Step-by-step explanation: