Answer:
The answer is that they both payed $9.00.
Step-by-step explanation:
The both payed $60.00, and 30% of that is $18.00.
( $60.00*.03=$18.00)
$18.00 divided by two (two people, James and Sarah) is $9.00.
So they both payed $9.00 individually.
Sasha's mom bought a container with 150
bracelet beads for Sasha's birthday party.
There were 8 girls at the birthday party to
equally share the beads. Between what two
amounts of beads should each girl receive?
Answer:
between 18 and 19
Step-by-step explanation:
150/8= 18.75
A water tank holds 36 gallons
of water. A new water tank holds
25% more water. How many
gallons of water can the new
water tank hold?
Which expression is equivalent to
?
2
od
1
4
062
2
LN Leyla
o
Answer:
2nd one is correct.....
Find a fourth degree polynomial equation with rational coefficients that has roots -1 multiplicity of 2 and 1-4i.
A. x^4-18x^2-32x-15
B. x^4+14x^2+32x+17
C. x^4+2x^3+6x^2+32x+40
D. x^4+4x^3+2x^2+12x+45
A polynomial of degree 4 will have 4 zeros. The zero of 3 with a multiplicity of 2 counts as two of these zeros. You've also been given a zero of -i. So it seems that we only have 3 of the 4 zeros. We need all 4 to be able to form the desired polynomial.
You didn't mention that the polynomial should have real coefficients. But I'm going to assume it because otherwise we can't solve the problem. If a polynomial with real coefficients has a complex zero, then the complex conjugate of that complex zero will also be a zero. This is how we will find the 4th zero.
A complex number in standard form is a + bi. Its complex conjugate is a + (-bi) or a - bi. The complex zero we were given is -i. In standard form this would be 0 + (-i). The complex conjugate of 0 + (-i) would be 0 - (-i) or 0 + i or just i.
So the four zeros of the desired polynomial are 3 (twice), -i and i. If a number "z" is a zero of a polynomial then (x - z) is a factor of that polynomial. Using this fact and the four zeros we can write a factored form of our desired polynomial:
f%28x%29+=+a%28x-3%29%28x-3%29%28x-%28-i%29%29%28x-i%29
Simplifying the 3rd factor we get:
f%28x%29+=+a%28x-3%29%28x-3%29%28x%2Bi%29%28x-i%29
where the "a" is any non-zero number. Since there are an infinite number of non-zero numbers, there will be an infinite number of possible correct solutions to this problem. To make things easy we will choose to make "a" be 1. This makes our factored polynomial:
f%28x%29+=+%28x-3%29%28x-3%29%28x%2Bi%29%28x-i%29
All we have to do now is multiply this out. We can simplify this process if we take advantage of some factoring patterns. The first two factors can be multiplied using:
%28a-b%29%5E2+=+a%5E2-2ab%2Bb%5E2
And the last two factors can be multiplied using:
%28a%2Bb%29%28a-b%29+=+a%5E2-b%5E2
With these patterns we get:
f%28x%29+=+%28%28x%29%5E2-2%28x%29%283%29%2B%283%29%5E2%29%28%28x%29%5E2-%28i%29%5E2%29
Simplifying inside each factor we get:
f%28x%29+=+%28x%5E2-6x%2B9%29%28x%5E2-i%5E2%29
And since i%5E2+=+-1 this becomes:
f%28x%29+=+%28x%5E2-6x%2B9%29%28x%5E2-%28-1%29%29
or
f%28x%29+=+%28x%5E2-6x%2B9%29%28x%5E2%2B1%29
We have one more multiplication. There are no shortcuts for this one. We have to multiply each term of one factor times each term of the other and then add like terms, if any:
f%28x%29+=+x%5E2%2Ax%5E2%2Bx%5E2%2A1%2B%28-6x%29%2Ax%5E2%2B%28-6x%29%2A1%2B9%2Ax%5E2%2B9%2A1
Simplifying...
f%28x%29+=+x%5E4%2Bx%5E2%2B%28-6x%5E3%29%2B%28-6x%29%2B9x%5E2%2B9
f%28x%29+=+x%5E4%2B10x%5E2%2B%28-6x%5E3%29%2B%28-6x%29%2B9
Re-ordering into standard form:
f%28x%29+=+x%5E4%2B%28-6x%5E3%29%2B10x%5E2%2B%28-6x%29%2B9
This is a polynomial function of degree 4 with the given zeros.
P.S. As mentioned earlier, this is not the only possible correct answer. This is the answer when you make "a" equal to 1. Other values for "a" give us different polynomial functions which also have the same zeros. For example, if we had chosen a = 2 we would have gotten f%28x%29+=+2x%5E4%2B%28-12x%5E3%29%2B20x%5E2%2B%28-12x%29%2B18.
50 POINT PLEASE HELP!!!
only answer if you know
(if you only know one thats fine)
Answer:
Since its on a workbook, I think what your supposed to do for the shapes is measure the given side, say the line for the first question for a square was 2 inches, then you would have to put the rest of the sides 2 inches as well, paying attention to the angle measures.
each angle is 90° in a square, 120° for a hexagon, and the rest should hopefully be do-able.
14. At the circus a clown is shot from a cannon. This situation can be modeled by the
function: h = -16? + 367 +15, where “h" is the height in feet and "t" is the time in
seconds.
a. What is the maximum height of the clown?
b. How high is the clown after 2 seconds?
C.
How many seconds would it take for the clown to hit the ground the height would
be h=0)?
Answer:
h=366
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth. 25 20
Answer:
15
Step-by-step explanation:
[tex]using \: pythagoras \: theorem \\ let \: the \: unknown \: side = x \\ 25 {}^{2} = x {}^{2} + 20 {}^{2} \\ 625 = x {}^{2} + 400 \\ x {}^{2} = 625 - 400 \\ x {}^{2} { = 225} \\ x = \sqrt{225} \\ x = 15 \\ lenght \: of \: the \: third \: side = 15[/tex]
What is 14 pounds in ounces
Guess the rule and enter the missing number in the sequence. 23, 20, 17, 14,
Answer:
11
subtract 3
Step-by-step explanation:
The numbers are getting lower in value as you go,
So that means it is a subtracting sequence,
Take the first two numbers and subtract them,
23 - 20 = 3
So now subtract 3 from the others and see if it works,
20 - 3 = 17
17 - 3 = 14
14 - 3 = 11
11 is the missing number
Yep, it works,
Hence the sequence is to subtract three.
I need help hehe? Dshbs
Answer:
Half
Step-by-step explanation:
[tex]\left(\dfrac{22}7 - \dfrac 23 \right) \div 2 = \left(\dfrac{22}7 - \dfrac 23 \right) \times \dfrac 12[/tex]
if you answer these question i chose 15 points
Answer:
5. angle A=40
6. angle C= 80
7. angle C= 110
Step-by-step explanation:
In all three questions, it says angle B= angle A+ angle C
So for each when it gives you angle B and one of the others, you just subtract either angle A or angle C from the total angle (B) to find the other. For example, for question 5, it asks for angle A saying that B is a right angle and c equals 50. Well, a right angle is 90 degrees. So to find angle A, you do 90-50.
please look at this and help it's really tough and hard i'm in midlle school not high school but please help
Answer:
19.1
Step-by-step explanation:
Answer:
circumference = 2*3.14*r
6.28r=120m
r= 19.1
How do you solve this question
Answer:
x = 8
Step-by-step explanation:
2(13x + 12) = 70 + 20x + 2
26x + 24 = 72 + 20x
-20x -20x
6x + 24 = 72
-24 -24
6x = 48
÷6 ÷6
x = 8
Mr. Silberman borrowed money for a computer for $1,500. He will pay $50 per month until it is paid off.
Ms. Washington also borrowed money for a computer. The equation D=-100m + 1,800 represents the amount Ms. Washington owes, D. in
dollars, after m months.
Which person will owe more money after 9 months? Move the correct words and dollar amount to the blanks to complete the sentence.
After 9 months.
will owe
more than
Mr. Silberman
Ms. Washington
$50
$100
$150
$200
$250
$300
Answer: Mr. Silberman has to pay $150 more than Ms. Washington.
Step-by-step explanation: First calculate how much tax Mr. Silberman will have to pay off after 9 months. 50x9=450, so $450 is how much tax he will have to pay. Add that to 1,500, which is the total cost of the computer, which equals $1,950.
Ms. Washington only has to pay $1,800. Mr. Silberman has to pay $1,950. So Mr. Silberman has to pay more. He has to pay $150 more than Ms. Washington.
please help 10pts each
dang im rlly givin away too much points lol
solve for x
3x=5x-4
Answer:
x = 2
Step-by-step explanation:
Given :
3x = 5x - 4Add 4 on each side
3x + 4 = 5x - 4 + 43x + 4 = 5xSubtract 3x from each side
3x - 3x + 4 = 5x - 3x4 = 2xDivide 2 from each side
4/2 = 2x/2x = 2Which of the following parallelograms is NOT similar to the others?
A
B
C
D
the answer is D
Step-by-step explanation:
Answer: C
Step-by-step explanation:
The height of the parallelogram for A is 3 units while the length the base is 6 units.
For D it follows this same pattern, the height is 1 which is half of the length of the base, 2.
B also follows this pattern, the height is 2 which is half of the length of the base, 4
C does not follow this pattern and is the odd one out.
Matching angles of two congruent figures
translation
corresponding
transformation
image
congruent figures
Answer:
Corresponding
Step-by-step explanation:
Matching angles of two congruent figures are called corresponding angles. The angles that are in the same position will have the same measurement.
a locker combination consist of 3 digits the digits are numbers 0-9 which is a possible number of combinations?
A. 1,000 combinations
B. 720 combinations
C. 120 combinations
D. 100 combinations
Answer:
720
Step-by-step explanation:
If order mattered, we would say select the first number (10 choices), then the second (9 choices) then the third (8 choices). So there would be 10 x 9 x 8 = 720 possible choices.
Point A, B and C are given above. Give point D do make a parallelogram
I think D at (2,1) will do
hope it helps...!!!
Step-by-step explanation:
I think D at (2,1)
hope it will help
What is the value of x in the equation 2 – 11x = 4x + 17?
Answer:
-1=x
Step-by-step explanation:
2-11x=4x+17 Given
2(+11x)-11x=4x+(11x)+17 Subtract 11x from both sides
2=15x+17 Simplify
2 (-17)=15x (-17) +17 Subtract 17 from both sides
-15=15x Simplify
-15/15=15x/15 Divide both sides by 15 (isolate x)
-1=x Simplify
x=-1
Step-by-step explanation:
2-11x=4x+17-11x-4x=17-2-15x=15-15x÷-15=15÷-15x=-1How many 1/2 scoops of rice can fit in a two-cup bowl
Answer:
4 (cooked)
Step-by-step explanation:
2 / 1/2 = 4
After crafting the function below, Brenda noticed at one point was missing. Which of the following is missing point in Brenda’s graph?
Using the function concept, it is found that the missing point was of (0,3), hence option A is correct.
What is the condition for a function?In a function, one value of the input can be related to only one value of the output.In a graph, it means that for each value of x(horizontal axis), there can only be one respective value of y(vertical axis).In the given graph, values are already defined for x = 1, x = 2 and x = 3, while no value is defined for x = 0. Hence, the missing point was of (0,3), and option A is correct.
More can be learned about the function concept at https://brainly.com/question/12463448
Mark brainiest correct answers pls
Answer:
5.11) Radius ~~- D
5.12) 5 Hours 23 Mins ~~- C
Step-by-step explanation:
Hope this helps
Answer:
11) D. 10) C.
Step-by-step explanation:
Please help I will give brainliest.
Answer:
a = 3 , b = 8 , c = 4
Step-by-step explanation:
the standard form of a quadratic equation is
ax² + bx + c = 0
3x² + 8x + 4 = 0 ← is in standard form
with a = 3, b = 8, c = 4
A right pyramid with a square base is shown. the length of the base is 8 inches and the slant height is 5 inches. kabir wants to know the volume of a solid right pyramid with a square base. he uses a ruler to measure the length of the base as 8 inches. he then measures the slant height to be 5 inches. the hypotenuse of the right triangle used to determine the height is inches. the leg of the right triangle that lies on the same plane as the base is inches. the height of the pyramid is inches. the volume of the solid pyramid is cubic inches.
The volume of the given pyramid comes to be 64 cubic inches.
Length of the square base a= 8 inches
Slant height l =5 inches
What is the volume of a pyramid?The volume of a pyramid is with base area A and height h is 1/3Ah.
So, base area A= 8*8 =64 square inches.
From Pythagoras theorem
[tex]l^{2} =(\frac{a}{2})^2 +h^{2}[/tex]
[tex]5^{2} =(\frac{8}{2})^2+h^{2}[/tex]
[tex]h=3[/tex] inches
So, volume of the pyramid = 1/3*A*h
=1/3*64*3
=64 cubic inches.
Hence, the volume of the given pyramid comes to be 64 cubic inches.
To get more about pyramids visit:
https://brainly.com/question/218706
Answer:
5, 4, 3, & 64
Step-by-step explanation:
i did it
Find 1 rational number between -2/9 and 0
Answer:
Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.
if f(x)=(2x)^2 find f(-4)
Answer:
64
Step-by-step explanation:
1. Plug it in:
(2(-4))^2
2 times -4 is -8
(-8)^2 = 64
So there’s your answer
Olivia needs 54 licks for every 3 lollipops they eat.
Answer:
so what is the question ??
25) 3 NaHCO3
Na
H = C =_0 =
Manny wants to find ways to reduce his current debt. the table below shows manny’s monthly income, expenses and net income. monthly budget amount income wages $3,000.00 expenses rent $1,200.00 utilities $269.34 entertainment $220.00 food/clothes $368.00 cell phone $89.42 credit card
Manny could spend less on food and clothes and put the money towards his credit card payment, as she is spending $368 on foods and clothing.
What is debt?It is defined as the amount one party needs to pay to another party as the first party borrowed an amount which will credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.
As we can see, the Manny is spending amount of $368 and the other expenses are not flexible means to all other expenses are fixed expenses.
According to the data, Manny should spend less on food and clothes and put the money towards his credit card payment.
We know the expression for the monthly payment is given by:
[tex]\rm M = P \frac{r}{(1-(1+r)^{-nt})}[/tex]
Where P is the principal amount
r is the interest rate.
M is the monthly payment
t is the time
n is the number of times the amount compounded.
Thus, Manny could spend less on food and clothes and put the money towards his credit card payment, as she is spending $368 on foods and clothing.
Learn more about the debt here:
https://brainly.com/question/17286021