First you must know that is i∧2= -1
x∧3-4x∧2+4x-16 = x∧2 (x-4) + 4 (x-4) = (x-4) (x∧2+4) = (x-4) (x∧2-(-4)) =
= (x-4) (x∧2-(-1) *4) = (x-4) (x∧2- i∧2*2∧2) = (x-4) (x∧2-(2i)∧2) = (x-4) (x-2i) (x+2i)
Good luck!!!
the area of a triangle is 1,440cm2. the base of the triangle is 5 times the height what is the height of the triangle
Answer: 576
Step-by-step explanation:
To find the area of a triangle you do base times the height divided by two. Now that you have the area and the base you just have to do the opposite
So you would do 1,440*2 = 2,880
Then you would divide 2,880 from 5. 2,880/5=576
So the answer is 576
10 ≥ 9 + v
Please show work!
Remember to isolate the variable. Subtract 9 from both sides
10 (-9) ≥ 9 (-9) + v
10 - 9 ≥ v
Simplify. Combine like terms
1 ≥ v
1 ≥ v is your answer
hope this helps
Sam scored 20% of the teams 20 points. How many points did sam score
20% = 1/5
20/5 = 4
Sam scored 4 points
Answer:
4
Step-by-step explanation:
20% of 20 points would be 4 you can literally just type it into google
You have an allowance of $12.00. You buy a discount movies ticket that costs at least $3.50 and popcorn that costs $2.75. HOw much do much do you have for other spending?
Given
You have an allowance of $12.00
discount movies ticket that costs at least $3.50
popcorn that costs $2.75.
Find out the how much do much do you have for other spending.
To proof
Let us assume that the money for the other spending be x.
As given
total allowance = $12.00
discount movies ticket that costs at least = $3.50
popcorn costs = $2.75
than the inequality written in the form
3.50 + 2.75 + x ≤ 12.00
6.25 + x ≤ 12.00
x ≤ 5.75
you have money for other spending is atmost 5.75
when the movies ticket that costs at least $3.50
Hence proved
Final answer:
After purchasing a discounted movie ticket for at least $3.50 and popcorn for $2.75 from an allowance of $12.00, the student will be left with $5.75 for other spending.
Explanation:
The student is given a scenario involving budgeting and calculating remaining allowance after certain purchases. To find out how much money is left for other spending after purchasing a discounted movie ticket and popcorn, we subtract the total cost of these items from the initial allowance.
If the student has an allowance of $12.00 and buys a movie ticket for at least $3.50 and popcorn for $2.75, the calculation for the remaining allowance will be as follows:
Minimum amount spent on movie ticket: $3.50Amount spent on popcorn: $2.75We add these two amounts to find the total spent:
Total spent = $3.50 + $2.75 = $6.25
We then subtract the total spent from the initial allowance:
Remaining allowance = $12.00 - $6.25 = $5.75
Therefore, the student will have $5.75 left for other spending.
calculate the mean, median,and mode
To calculate the median: you want to organize all the numbers in it's data so it should look like this: 2, 5, 5, 8, 10, 12, 18, 20.
Now that it is organized look for the middle number so 9 is our median. I got this by adding 8 + 10 which equals 18 then dividing it by 2. So anytime you have 2 middle numbers add them then divide it by 2 it will always be your median.
To determine the mode: look for the number the occurs the most. I only see two 5's so the answer is 5 for our mode.
To determine the mean: Add all the numbers together then divide it by how many numbers there are so there are 8 numbers divide it by 8 after we add them.
2+5+5+8+10+12+18+20= 80 divide it by 8 and it equals 10. So 10 is the mean.
Please help!
The equation x² + y² − 2x + 6y + 3 = 0 is equivalent to...
A. (x − 1)² + (y + 3)² = −3
B. (x − 1)² + (y + 3)² = 7
C. (x + 1)² + (y + 3)² = 7
D. (x + 1)² + (y + 3)² = 10
The equation x² + y² − 2x + 6y + 3 = 0 is equivalent to (x − 1)² + (y + 3)² = 7
The standard equation of a circle is expressed as
x² + y² + 2gx + 2fy + C = 0
Given the equation x² + y² − 2x + 6y + 3 = 0. Using the completing the square method to write its equivalent
x² - 2y + y² + 6y + 3 = 0
( x² - 2y + 1) - 1 +(y² + 6y + 9) - 9+ 3 = 0
(x-1)² - 1 +(y + 3)² - 6 = 0
(x-1)² + (y + 3)² = 7
Hence the equation x² + y² − 2x + 6y + 3 = 0 is equivalent to (x − 1)² + (y + 3)² = 7
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Four times a number increased by six is the same as seven times the number.
Call that number x.
Then rewrite as equation:
4x+6=7x
solve for x
6=3x
2=x
So the number is 2.
Check that 2 is the number by following the original wording, mentally.
Hey there!!
Let's take the number as 'x'
4 times the number is 4x
This is increased by 6
We will have to add 6.
... 4x + 6
7 times a number is 7x
... 7x
Both these values are equal.
Hence,
... 4x + 6 = 7x
... 6 = 3x
... x = 2
Hence, the number is 2.
Pooja's plant began sprouting 2days before Pooja bought it, and she had it for 98 days until it died. At its tallest, the plant was 30entimeters tall. H(t) models the height of Pooja's plant (in centimeters), t days after she bought it. Which number type is more appropriate for the domain of h? Choose 1 answer: Choose 1 answer:
Answer:
2 (less than or equal to) t (less than or equal to) 98, Real Numbers
Step-by-step explanation:
2 (less than or equal to) t (less than or equal to) 98, Real Numbers
:) hope this helps!
The domain of the function H(t), which models the height of a plant over time, would consist of integers ranging from -2 to 98 to represent each day of the plant's growth, including the two days before purchase.
Explanation:The question at hand is asking which type of number is more appropriate for the domain of a function, H(t), that models the height of Pooja's plant (in centimeters) t days after she bought it. The domain of a function includes all the possible inputs for the function, in this case, the number of days after Pooja bought the plant. Considering Pooja's plant sprouted 2 days before she bought it and lasted for 98 days, the best number type for the domain would be integers since the days are counted in whole numbers. However, if we include the 2 days before she bought it, the domain in context would be from -2 to 98. Therefore the domain would be {-2, -1, 0, 1, 2, ..., 98}, which are all integers.
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Need help please hurry DON'T TYPE AND ACT LIKE YOUR GONNA ANSWER THE QUESTION IF YOUR NOT GOING TO who ever gets it right i will give you the brainiest!
good luck!
[tex]x-intercept(\frac{26}{3},0)
y -intercept (0,\frac{13}{2} )[/tex]
y is a lil messed up in term of looks but meh
have a good day breh
What is 3.56 * 10 with an exponent negative 5 in standard form
Answer: .0000356
Step-by-step explanation:
3.56 x 10⁻⁵
the exponent of 5 tells you to move the decimal 5 places
the negative sign tells you to move the decimal to the left.
Equation Given: 3.56 x 10^-5
Simple Explanatio: Lets start with this 10^-5 since the exponents is a negative you must subtract the exponent from the base and after you do so this is what your left with -5 and now since we have done the work lets rewrite the answer as 3.56 x 10^-5 the equation may not be changed but that's how i was told to do it and now solve. The decimal in 3.56 will be moved to the left five times because this equation has an negative exponent not a positive so you should end up with the simple answer of 0.0000356
Hopefully this helps ^0^
What are the domain and range of the function f(x) = -3 (x-5)^2 + 4?
Domain=all real numbers
Range is x≤4
Hope this helps :)
Which statement is true about polynomial 5s^6t^2 + 6st^9 - 8s^6t^2 - 6t^7 after it has been fully simplified?
The polynomial 55° + 6st - 85° - 6t has 4 terms and a degree of 10 after it has been fully simplified.
To determine the number of terms in a polynomial, count the separate algebraic expressions that are added or subtracted. In this case, the polynomial is composed of four distinct terms: 55°, 6st, -85°, and -6t.
Next, the degree of a term in a polynomial is the highest power of its variable. Examine each term to identify the variable and its corresponding exponent. The term 55° has a degree of 0 since any nonzero constant raised to the power of 0 is 1. Both 6st and -6t have a degree of 2, as the variables s and t are raised to the power of 1. Lastly, the term -85° has a degree of 1.
To find the overall degree of the polynomial, identify the term with the highest degree. In this case, it is the term 6st, which has a degree of 2. Therefore, the fully simplified polynomial has four terms and a degree of 2, making the correct statement: "It has 4 terms and a degree of 10."
Complete question :-
Which statement is true about the polynomial 55° + 6st-85°-6t after it has been fully simplified?
It has 3 terms and a degree of 9.
It has 3 terms and a degree of 10.
It has 4 terms and a degree of 9.
It has 4 terms and a degree of 10.
Grady marks down some $4.59 pens to $4.09 for a week and then marks them back up to $4.59. Find the percent of increase and the percent of decrease to the nearest tenth. Are the percents of change the same for both price changes? If not, which is a greater change? Complete the explanation, and round your percents to the nearest tenth.
The percentage decrease in price from $4.59 to $4.09 is 10.9%, while the percentage increase from $4.09 to $4.59 is 12.2%. Therefore, the percentages of change are not the same and the percentage increase is a greater change.
Explanation:To calculate the percentage decrease in price from $4.59 to $4.09, we subtract $4.09 from $4.59, then divide by the original price of $4.59, and multiply by 100: (($4.59 - $4.09) / $4.59) * 100 = 10.9%. Therefore, the percentage decrease is 10.9%.
For the percentage increase from $4.09 back to $4.59, we similarly subtract $4.09 from $4.59, divide by the 'new' original price of $4.09, and multiply by 100: (($4.59 - $4.09) / $4.09) * 100 = 12.2%. Therefore, the percentage increase is 12.2%.
The resultant decrease and increase percentages are not the same. The percentage increase of 12.2% is a greater change compared to the 10.9% decrease.
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One and one half minus two and five six ths
Answer:
-8
Step-by-step explanation:
1 1/2 - 2 5/6 (multiply the denominator by the whole number, then add with the numerator)
3/2 - 17/6 (get the common denominator which is 6 in this situation and multiply that with the numerator)
9/6 - 17/6 = -8
Please help!!! Important!!!! Sister needs help!!!!
Answer,
14Explanation,
All you need to do is simplify,
15 - (-3) -4 = ?
15 - (-3) = 18
18 - 4 = 14
Hope this helps :-)
What shows the correct substitution of the values a,b, and c from the equation 0=-3x^2-2x+6
When dealing with a quadratic equation, you usually assign the following name to the coefficients of the variables:
[tex] ax^2+bx+c=0 [/tex]
So, [tex] a [/tex] is the coefficient of [tex] x^2 [/tex], [tex] b [/tex] is the coefficient of [tex] x [/tex] and [tex] c [/tex] is the constant term.
In your case, the coefficient of [tex] x^2 [/tex] is -3, so [tex] a=-3 [/tex]
The coefficient of [tex] x [/tex] is -2, so [tex] b = -2 [/tex]
The constant term is 6, so [tex] c = 6 [/tex]
Select from the drop-down menus to correctly complete the sentence.
The rule (x, y)→(x+2, y−4) represents a translation 2 units CHOOSE.. and 4 units CHOOSE..
Left
Right
Up
Down
Answer:
for anyone in the future that needs this the answer is The rule (x,y) ----> (x+2, y-4) represents a translation 2 units RIGHT and 4 units DOWN
Step-by-step explanation:
A translation is a transformation that moves every point in a figure in the same direction by the same amount. The rule (x, y)→(x+2, y−4) represents a translation of 2 units right and 4 units downwards
What is translation?A translation is a transformation that moves every point in a figure in the same direction by the same amount. It is also a sort of transformation in which each point in a figure is moved the same distance in the same direction resulting in the same figure again.
For any graph, if the value of x is increased it moves in the right direction while it moves in the left direction if the value is decreased.
Similarly, For any graph, if the value of y is increased it moves upwards while it moves in downwards if the value is decreased.
Now, as per the given rule of transformation, (x, y)→(x+2, y−4), the graph will translate 2 units right and 4 units downwards.
Hence, The rule (x, y)→(x+2, y−4) represents a translation 2 units right and 4 units downwards.
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How do you work this problem? 5 - 2x = 0
Answer:
x = 5/2
Step-by-step explanation:
Isolate x by adding 2x to both sides, obtaining: 5 - 2x + 2x = 2x. Then 5 = 2x, and dividing both sides by 2 results in x = 5/2.
Solve the equation. 4n - 18 = 52
Equation step-by-step:
4n - 18 = 52 → we take -18 to the right side of the equation
4n = 52 + 18 → we solve for 52 + 18
4n = 70 → we take 4 to the right side of the equation
n = 70 / 4 → we solve for 70 / 4
n = 17,5 → final answer
Hope it helped,
BioTeacher101
Given that m∠BDC = 47°, m∠CAB = 52°, and m∠BEC = 99°
Is there enough evidence to prove that . If so, explain.
(3 points)
The given figure is a rectangle.
Given angles are- m∠BDC = 47°, m∠CAB = 52°, and m∠BEC = 99°
The sum of the angles m∠BDC = 47°, m∠CAB = 52° is the measure of m∠BEC which is 99°
This is sufficient to prove. Measure of angle A and D are 90 degrees each as they are right angles triangles. So, inner angle A is 90-52 = 38 degrees. Inner angle D will be 90-47 =43 degrees.
Measure of triangle AED = 180 degrees
Let inner E = x
then, 38+43+x=180
x=99 degrees
Outer E and inner are vertical angles and so, they are same.
Moreover, triangles AED and BEC are same so E is 99 degrees
One of the angles formed by two intersecting lines is 50° less than the other one. Find the measure of all angles.
Angle created by intersecting lines are 115° and 65°
Given that;
One angle is less than 50°
Find:
Measure of all angles
Computation:
We know that;
Sum of two adjacent angles = 180°
Assume;
One angle = a
So,
Another angle = a - 50
So,
a + (a - 50) = 180
2a - 50 = 180
2a = 230
a = 115°
another angle = 180 - 115
Another angle = 65°
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Dr. Jimenez found that after applying an antibiotic to bacteria, he observed only 90% of the bacteria left in the culture dish each hour. If the initial bacteria count was 100, what was the bacteria count after 5 hours? Round to the nearest whole number.
There were ___ bacteria after 5 hours.
The complete statement is:
There were 59 bacteria after 5 hours
The initial population of the bacteria is given as:
[tex]a =100[/tex]
The proportion left after each hour is given as:
[tex]b = 90\%[/tex]
An exponential function is represented as:
[tex]f(x) = ab^x[/tex]
Substitute values for (a) and (b)
[tex]f(x) = 100 \times (90\%)^x[/tex]
Express percentage as decimal
[tex]f(x) = 100 \times (0.9)^x[/tex]
After 5 hours, the value of x is 5
i.e. x = 5
So, we have:
[tex]f(x) = 100 \times (0.9)^5[/tex]
Evaluate the exponent
[tex]f(x) = 100 \times 0.59049[/tex]
Multiply
[tex]f(x) = 59.049[/tex]
Approximate
[tex]f(x) = 59[/tex]
Hence, there were 59 bacteria after 5 hours
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Shaniqua has $45 in her wallet she spends $4 on snacks and $8 on a movie ticket what integer represents the change in the amount of money in shaniquas wallet how much money is left?
8+4=12
Since we are trying to find out how much was deducted from the wallet, make 12 negative
integer: -$12
45-12=33
$33 left
The integer shows the amount of money in Shaniqua's wallet is -12 and the money left will be $33
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The integer will be calculated as:-
The amount deducted is
8 + 4 = 12
Since we are trying to find out how much was deducted from the wallet, make 12 negative
integer: -$12
45 - 12 = $33
Therefore the integer shows the amount of money in Shaniqua's wallet is -12 and the money left will be $33.
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the table describes the types of job openings available in a company. what is the probability that experience is needed for a randomly selected job opening, given that it is for part time work?
Answer:
42%
Step-by-step explanation:
We will use the conditional probability in this case
We use conditional probability when two cases occur are dependent.
So by using:
[tex]\frac{P(A\capB)}{P(B)}[/tex]
Here, A is the event of experience needed.
And B is the event of part-time
Substituting the values in the formula we get:
[tex]\frac{6}{14}=.42[/tex]
Intersection of experience needed and part-time is 6
And part-time total is 6+8=14
To get in percent we will multiply it by 100
42% is the required probability.
Carson evaluated 23÷34 and got an answer of 89. Which statement is true about his answer?
Answer:
It is correct because 8/9x3/4=2/3
Step-by-step explanation:
Please help and show work!!
12 - x < 8
add x to both sides
12 - x + x < 8 + x
12 < 8 + x
re-write
8 + x > 12
Subtract 8 to both sides
8 + x - 8 > 12 - 8
x > 4
The graph B is matching the answer (x > 4)
So answer is B.
Let's solve your inequality step-by-step.
12−x<8
Step 1: Simplify both sides of the inequality.
−x+12<8
Step 2: Subtract 12 from both sides.
−x+12−12<8−12
−x<−4
Step 3: Divide both sides by -1.
−x
−1
<
−4
−1
x>4
Answer:
x>4
NOTE step 3 i was tryna do a fractions it aint work out so good soo i like added a pic
Find the minimum value of C=-2x+y subject to the following constraints x≥-5 x≤4 y≥-1 x≤3
Answer:
The minimum value of C is -9
Step-by-step explanation:
we have
[tex]C=-2x+y[/tex]
[tex]x\geq -5[/tex]
[tex]x\leq 4[/tex]
[tex]y\geq -1[/tex]
[tex]y\leq 3[/tex]
using a graphing tool
The solution is the shaded rectangle
see the attached figure
The vertices of the rectangle are the points
[tex](-5,3),(4,3),(4,-1),(-5,-1)[/tex]
To find the the minimum value of C, substitute the value of x and the value of y of each vertex and calculate the value of C, then compare the results
For [tex](-5,3)[/tex]
[tex]C=-2(-5)+3=13[/tex]
For [tex](4,3)[/tex]
[tex]C=-2(4)+3=-5[/tex]
For [tex](4,-1)[/tex]
[tex]C=-2(4)-1=-9[/tex]
For [tex](-5,-1)[/tex]
[tex]C=-2(-5)-1=9[/tex]
therefore
The minimum value of C is -9
if you subtract 20 from twice a number the result is six what is the number
31 points for the right answer if you DON'T KNOW Skip pass this
Substitute x = 2 into each of the expressions
left: 6* 8 - 2(2) = 48 - 4 = 44
right: 6(5 +2) = 6(7) = 42
44 > 42
Answer
>
How many combinations exist of the letters w, x, y, z, taking two at a time?
The binomial coefficient
[tex] \displaystyle \binom{4}{2} = \dfrac{4!}{2!(4-2)!} = \dfrac{4\cdot 3}{2} = 2\cdot 3 = 6 [/tex]
Tells you that there are 6 ways of choosing a subset of two letters from the four given letters.
For each of these subsets there are two combinations (you can interchange the two letters: say that you choose the subset wz, you have the two combinations wz and zw)
So, there is a total of 12 combinations of the letters w, x, y, z, taking two at a time.
There are 6 ways of choosing a subset of two letters from the four given letters.
What is a combination?The arrangement of the different things or numbers in a number of ways is called the combination.
For each of these subsets there are two combinations (you can interchange the two letters: say that you choose the subset wz, you have the two combinations wz and zw)
So, there is a total of 6 combinations of the letters w, x, y, z, taking two at a time.
The combination will be calculated as:-
[tex]^4C_2=\dfrac{4!}{2!(4-2)!}[/tex]
[tex]^4C_2=\dfrac{4\times 3}{2}[/tex]
[tex]^4C_2=6[/tex]
Therefore there are 6 ways of choosing a subset of two letters from the four given letters.
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