Step-by-step explanation:
Apply foil method.
First,
[tex]4z \times z = 4 {z}^{2} [/tex]
Outer,
[tex]z \times - 1 = - z[/tex]
Inner,
[tex]4z \times 1 = 4z[/tex]
Last,
[tex]1 \times - 1 = - 1[/tex]
Add terms.
[tex]4 {z }^{2} + 3z - 1[/tex]
If you have $50 in yo ur bank account, deposit a $50 birthday check, and withdraw $20 to buy a shirt, how much is left in your account at the end?
Answer:
80
Step-by-step explanation:
50+50=100-20=80
pls help me im so confused
5n-17=2n+1
Answer:
n=6
Step-by-step explanation:
5n-17=2n+1
Subtract 2n from each side
5n-2n-17=2n-2n+1
3n -17 = 1
Add 17 to each side
3n -17+17 = 1+17
3n = 18
Divide by 3
3n /3 = 18/3
n=6
[tex] \large \sf \star \: \green{Answer }\: \star[/tex]
[tex] \small \sf \fbox{n = 6}[/tex]
Step-by-step explanation:[tex] \small \sf \mapsto \: 5n \: - 17 = 2n + 1[/tex]
subtract 2n from both side
[tex] \small \sf \mapsto \: 5n \: - 2n \: - 17 = 2n \: - 2n + 1[/tex]
[tex] \small \sf \: \mapsto \: 3n \: - 17 = 1[/tex]
Add 17 to both side
[tex] \small \sf \mapsto \: 3n \: - 17 + 17 = 1 + 17[/tex]
[tex] \small \sf \mapsto \: 3n \: = 18 [/tex]
Divide 18 by 3
[tex] \small \sf \: n \: = \frac{18}{3} \\ [/tex]
n = 6
Which situation can be modeled by a linear function?
A. The population of bacteria triples every day.
B. The value of a cell phone depreciates at a rate of 3.5% each year.
C. An amusement park allows 50 people to enter every 30 minutes.
D. A baseball tournament eliminates half of the teams after each round.
Answer:
(3) An amusement park allows 50 people to enter every 30 minutes.
Step-by-step explanation:
I hope it helped because it helped me so much.
A woman buys 50 eggs for $6.60. Some cost 12 cents each and the rest 14 cents each.
How many of each kind of eggs has she bought?
Answer:
She bought 20 eggs that were 12 cents, and she bought 30 eggs that were 14 cents.
Step-by-step explanation:
Create a system of equations where x is the number of 12 cent eggs and y is the number of 14 cent eggs.
x + y = 50
0.12x + 0.14y = 6.6
Solve by elimination by multiplying the top equation by -0.12:
-0.12x - 0.12y = -6
0.12x + 0.14y = 6.6
Add these together and solve for y:
0.02y = 0.6
y = 30
So, she bought 30 eggs that were 14 cents. Plug in 30 as y into one of the equations, and solve for x:
x + y = 50
x + 30 = 50
x = 20
So, she bought 20 eggs that were 12 cents.
She bought 20 eggs that were 12 cents, and she bought 30 eggs that were 14 cents.
What is the polar form of Negative 9 StartRoot 3 EndRoot + 9 i?
Answer:
Step-by-step explanation:
In the rectangular complex number -9√3 + 9i, which has a standard form a + bi, the a = -9√3 and the b = 9. We need this in polar form (r, θ) where
[tex]r=\sqrt{a^2+b^2}[/tex] and filling in:
[tex]r=\sqrt{(-9\sqrt{3})^2+(9)^2 }[/tex] (notice we do not put the i in there with the 9).
[tex]r=\sqrt{243+81}[/tex] so
r = 18. Now let's move on to the angle, which is a little more difficult. The angle is found in the inverse tangent ratio:
[tex]tan^{-1}(\frac{b}{a})[/tex] so filling that in, we have:
[tex]tan^{-1}(\frac{9}{-9\sqrt{3} })=\frac{1}{-\sqrt{3} }[/tex] Since tangent is the side opposite over the side adjacent, y is positive and x is negative in the second quadrant. This is a 30 degree angle in QII, which has a reference angle of 150 degrees. This angle in radians is [tex]\frac{5\pi}6}[/tex], so the polar form of that number is (18, [tex]\frac{5\pi}{6}[/tex])
Answer:
its d
Step-by-step explanation:
i guessed lol
What is the domain of the function of y=√x+8 -7
Answer:
Step-by-step explanation:
Recall that the argument of the square root function y = √x must always be 0 or greater.
If you meant y=√x+8 -7, the domain is therefore [0, infinity).
But if you meant y=√(x+8) -7, the domain is [-8, infinity).
Those parentheses are important!
HELP PLEASE I need an answer ASAP
Answer:
72/97
Step-by-step explanation:
take angle c as reference angle
to find sin c
sin c = opposite / hypotenuse
sin c = 72 / 97
Answer:
i dont know
Step-by-step explanation:
Which statement is true?
Question 13 options:
A)
–|3| = 3 and |4| = 4
B)
|–3| = 3 and –|–4| = –4
C)
|–3| = 3 and –|4| = 4
D)
|–3| = 3 and |–4| = –4
A man earns$140 in 5 day week. What is his pay for 3 days?
please this is ratio and proportion
Answer:
$84
Step-by-step explanation:
Do 3/5*140 which will give you 84 dollars
Pls help I don’t get it
Answer:
h = 5/2
Step-by-step explanation:
[tex]\frac{3}{4} *\frac{1}{2} *h=\frac{15}{16} \\\\\frac{3}{8} *h=\frac{15}{16}[/tex]
divide both sides by 3/8
[tex]h=\frac{5}{2}[/tex]
Interest earned:$45 Principal: ? Interest rate: 3% Time: 2 years
Answer:
The Principal = $75,000
Step-by-step explanation:
Formula for finding the principal:
I × 100/ R × T
Therefore;
Principal = 45 × 100 / 3/ 100 × 2
[tex] = \: \frac{45 \times 100}{ \frac{3}{100} \times 2} \\ = \frac{4500}{ \frac{3}{50} } \\ = 4500 \times \frac{50}{3} \\ = 1500 \times 50 \\ = 75000.00[/tex]
Which means that the Principal is $75,000.00
Gia is thinking of a number, witch she calls n .she adds 4 to the number and then doubles the sum.
write an expression to represent Gia's number.
Answer:
2(n+4)
good luck
Answer:
n+4=n×2
Step-by-step explanation:
that is the equation
Which expression is equivalent to
Hey there!
(a^8)^4
= a^(8)(4)
8(4) = 32
= a^32
Answer: a^32
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Jennifer can clean the house by herself in 3 hours. Her little brother Andy helps her clean and it takes them 2
hours working together. How long would it have taken Andy to clean the house if he had worked alone?
a. hours
b. 3 hours
c. 6 hours
d. 1 hour
Answer:
c
Step-by-step explanation:
If he could clean the house alone in one hour, then it wouldve taken him and his sister less than that. if he could clean it in 3 hours, it wouldve tkane him and his sister 1.5 hours.
Answer:
Step-by-step explanation:
c. 6 hours
what is the perimeter of a rectangle with a base of 5 and a height of 8
Answer:
26
Step-by-step explanation:
Perimeter= width+height+width+height
= 5 + 8 + 5 + 8
= 26 cm
Hope this helps!
find the volume of a cylinder with radius 5 and surface area 180pi
Answers : either 200pi or 325pi help !
Answer:
The volume of a cylinder is 325π.
Step-by-step explanation:
The volume of a cylinder is given by:
[tex]V = \pi r^{2}h[/tex]
Where:
h: is the height
r: is the radius = 5
We can find "h" from the surface area of the cylinder:
[tex]SA = 2\pi rh + 2\pi r^{2} = 180\pi[/tex]
[tex] h = \frac{180\pi - 2\pi r^{2}}{2\pi r} = \frac{180\pi - 2\pi (5)^{2}}{2\pi*5} = 13 [/tex]
Hence, the volume is:
[tex]V = \pi r^{2}h = \pi*(5)^{2}*13 = 325 \pi[/tex]
Therefore, the volume of a cylinder is 325π.
I hope it helps you!
бр - 5 =13
need help !
Answer:
[tex]p=3[/tex]
Step-by-step explanation:
[tex]6p-5=13[/tex]
[tex]+5[/tex] [tex]+5[/tex]
[tex]6p=18[/tex]
[tex]/6[/tex] [tex]/6[/tex]
[tex]p=3[/tex]
plz help ill make u brainliest
A manufacturer ships its product in boxes with edges of 4 inches. If 12 boxes are put in a carton and completely fill the carton, what is the volume of the carton?
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!
Answer:
14
Step-by-step explanation:
AB = 10+( 10/15 × 6)
= 10 + 4= 14
During a pancake making contest, Team A makes 8 more pancakes than team B. Team C made twice as many pancakes is team B. Together, the three teams made a total of 72 pancakes. How many pancakes did team A make?
Answer:
A = 24
Step-by-step explanation:
Use the problems provided info!
A = B+8
C = 2B
72 = B+8+2B+B
72-8 = 4B
6434 = 4B/4
16 = B
A = 24
B = 16
C = 32
Noah wants to buy a skateboard that usually sells for $79.99. All merchandise is discounted by 12%. What is the total cost of the skateboard if Noah has to pay a state sales tax of 6.75%?
Answer:
$74.36 sorry all i got
Step-by-step explanation:
First, we need to determine the sales price of the skateboard. The formula for find the discounted prices is:
Where:
is the sales price of the item: what we are solving for in this part of the problem.
is the regular price of the item: $79.16 for this problem.
is the discount rate: 12% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 12% can be written as
12
100
Substituting and calculating
gives
79.16
79.16
12
100
79.16
949.92
100
79.16
9.4992
69.6608
69.66
rounded to the nearest cent.
Now we can find the total price of the item with tax included. The formula for this is
#t = p + (p * r)
Where, this time:
is the total price: what we are solving for in this problem.
is the price of the item: it is the sales price of the item for this problem which is $69.66
is the tax rate: 6.75% or, using the same rule as in the formula above:
6.75
100
Substituting and calculating
gives:
69.66
69.66
6.75
100
69.66
470.205
100
69.66
4.70205
74.36205
74.36
rounded to the nearest cent.
Noah would pay a total cost (with the discount and after tax) of $74.36
Please help me
The question is at what rate did rain fall
Answer:
4 cm per hour that's the answer
What are the coordinates of the point on the directed line segment from (-6, -6)(−6,−6) to (9, -1)(9,−1) that partitions the segment into a ratio of 2 to 3?
Answer:
(0, -4)
Step-by-step explanation:
The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)
The ratio the required point partitions the line = 2 to 3
The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;
[tex]\left(\dfrac{a}{a + b} \times (x_1 - x_2)+ x_1, \ \dfrac{a}{a + b} \times (y_1 - y_2)+ y_1 \right)[/tex]
Therefore, the required point is located as follows;
[tex]\left(\dfrac{2}{2 + 3} \times (9 - (-6))+ (-6), \ \dfrac{2}{2 + 3}\times (-1 - (-6))+ (-6) \right) = (0, -4)[/tex]
The coordinates of the point is (0, -4)
What are the domain and range of the function f(x)=-3(x-5)2 +4?
domain: (-00, 5)
range: (-00,00)
domain: (-0,4]
range: -00,00)
domain: (-0,5]
range:
(-0,4]
O domain: (-0,00)
range: (-0,4]
Answers:
Domain is [tex](-\infty, \infty)[/tex]
Range is [tex](-\infty, 4][/tex]
============================================
Explanation:
We can replace x with any real number we want. We don't have any restrictions to worry about since there are no division by zero issues for instance. Also, there isn't any issues of things like taking the square root of a negative number.
Therefore, the domain is the set of all real numbers which translates to the interval notation of [tex](-\infty, \infty)[/tex]
This interval notation can be thought of as [tex]-\infty < x < \infty[/tex]
----------------------------
The range on the other hand isn't the set of all real numbers. It might help to graph this parabola (see below). You should see that the highest point occurs at the vertex (5, 4). This then tells us that the largest y can get is y = 4.
In other words, y = 4 or y can be smaller than this.
In symbols, we would say the range is [tex]y \le 4[/tex] and that translates to the interval notation of [tex](-\infty, 4][/tex]
The curved parenthesis always goes with either infinity. The square bracket says "include the endpoint 4 as part of the interval".
how do i solve this using multi-step ?
Answer:
x=2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(x−4)=2(−2x+1)
(3 )(x)+(3 )(−4)=(2) (−2x)+(2) (1)(Distribute evenly)
3x+(−12)=−4x+2
3x−12=−4x+2
Step 2: Add 4x to both sides.
3x−12+4x=−4x+2+4x
7x−12=2
Step 3: Add 12 to both sides.
7x−12+12=2+12
7x=14
Step 4: Divide both sides by 7.
7x /7 =14 /7
x=2
help me pleaseeee i’m begging!!!!
Answer:
The student did not complete the inverse operations correctly in Step 3
solve for x and y in the system of equation
y=x²-4x
2x-y=2
I'll mark brainliest
Step-by-step explanation:
[tex]y = {x}^{2} - 4x \\ y = x(x - 4) - - - (a) \\ 2x - y = 2 \\ y = 2x - 2 \\ y = 2(x - 2) - - - (b) \\ (a) = (b) : \\ x(x - 4) = 2(x - 2) \\ {x}^{2} - 4x = 2x - 2 \\ {x}^{2} - 6x + 2 = 0 \\ x = 5.6 \: \: and \: \: 0.4 \\ y = 2(5.6 - 2) \: \: and \: \: 2(0.4 - 2) \\ y = 7.2 \: \: and \: \: - 3.2[/tex]
whats is the answer to 7 x 1781
Answer:
12,467
Step-by-step explanation:
7 · 1781 = 12467
An author published a book which was being sold online. The first month the author sold 14400 books, but the sales were declining steadily at 5% each month. If this trend continues, how many total books would the author have sold over the first 23 months, to the nearest whole number?
Answer:
The author sold a total of 30240 books following this trend.
Step-by-step explanation:
Let's find 5% of 14400 first;
14400 * 5%
14400 * 5/100
144 * 5
720 (So now we know that they are decreasing by 720 each month; therefore thats the constant)
=> aₙ = a₁ + r(n - 1)
=> a₂₃ = 14400 + 720(23 - 1)
=> a₂₃ = 14400 + 720(22)
=> a₂₃ = 14400 + 15840
=> a₂₃ = 30240
Hope this helps!
The author sold a total of 30240 books following this trend.
Let's find 5% of 14400 first;
[tex]14400 * 5\%\\14400 * 5/100\\144 * 5=720[/tex]
What is an arithmetic progression?A, is a type of numerical sequence studied by Mathematics, where each term or element counting from the second is equal to the sum of the previous term with a constant.
So using the arithmetic progression we have:
[tex]a_n = a_1 + r(n - 1)\\a_{23} = 14400 + 720(23 - 1)\\ a_{23} = 14400 + 720(22)\\ a_{23} = 14400 + 15840\\a_{23} = 30240[/tex]
See more about arithmetic progression at brainly.com/question/20385181
I need help on this please!
Answer: The correct answer is D, also for part B, do you need help with that one too?
Step-by-step explanation: