An integer is eight less than three times another if the product of two integers is 35 then find the integers
(2i+1)/(1+i) is equal to
Answer:
Step-by-step explanation:
(1 + 2i) / (1 + i) Rationalize the denominator.
(1 + 2i)(1+i) / (1 + i)(1-i) Remove the brarckets
(1 + i + 2i - 2) / (1 - i + i - i^2) Combine
-1 + 3i / (2) i^2 = - 1 in the denominator
Juan starts a bacteria culture and records the number of bacteria in the Petri dish for the first couple of hours.
Hours Bacteria
0
160
1
320
2
640
If the pattern continues, how many bacteria can he expect to find after 17 h?
Enter your answer in the box.
9514 1404 393
Answer:
20,971,520
Step-by-step explanation:
The population is doubling every hour, so after 17 hours it will be the initial population (160) multiplied by 2^17 = 131,072.
After 17 hours, he can expect to find 160×131072 = 20,971,520 bacteria.
8th class maths reader answer
Answer:
plz complete question
so I can help you.
In a regression analysis involving 30 observations, the following estimated regression equation was obtained. If required enter negative values as negative numbers.
In a regression analysis involving 30 observations
Interpret b1, b2, b3, and b4 in this estimated regression equation (to 1 decimal). Assume that for each coefficient statement, the remaining three variables are held constant. Enter negative values as negative numbers.
b1 = estimated change in y per 1 unit change in x1
b2 = estimated change in y per 1 unit change in x2
b3 = estimated change in y per 1 unit change in x3
b4 = estimated change in y per 1 unit change in x4
Predict y when x1 = 10, x2 = 5, x3 = 1, and x4 = 2 (to 1 decimal).
In this, question the equation is missing that's why in the solution we define the equation and its complete solution:
Let the given equation:
[tex]\bold{\hat{h}=17.6+3.8x_1-2.3x_2+7.6x_3+2.7x_4}[/tex]
[tex]\bold{b1 = 3.8}[/tex] units expect changes in the y for each 1 unit change in [tex]\bold{x_1}[/tex]
[tex]\bold{b2 = -2.3 }[/tex] units expect changes in the y for each 1 unit change in [tex]\bold{x_2}[/tex]
[tex]\bold{b3 = 7.6 }[/tex] units expect changes in the y for each 1 unit change in [tex]\bold{x_3}[/tex]
[tex]\bold{b4 = 2.7}[/tex] units expect changes in the y for each 1 unit change in [tex]\bold{x_4}[/tex]
Calculating the estimated value of the y when:
[tex]\to \bold{x_1 = 10}\\\\ \to \bold{x_2 = 5}\\\\\to \bold{x_3 = 1}\\\\\to \bold{x_4 = 2}\\\\[/tex]
Put the value into the above-given equation:
[tex]\to \bold{17.6 + 3.8(10) - 2.3(5) + 7.6(1) + 2.7(2)} \\\\\to \bold{17.6 + 38 - 11.5 + 7.6 + 5.4} \\\\\to \bold{17.6 + 38 - 11.5 + 7.6 + 5.4} \\\\\to \bold{68.6-11.5}\\\\\to \bold{57.1}[/tex]
So, the final answer is "57.1".
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Tickets to a local movie were sold at $6.00 for adults and $4.50 for students. If 390 tickets were sold for a total of $2190.00, how many student tickets were sold
Answer: Therefore 100 student tickets were sold
Step-by-step explanation:
Let the number of student tickets be x
So adult tickets = 390 - x
ATQ
4.5(x) + 6(390-x) = 2190
4.5x + 2340 - 6x = 2190
-1.5x + 2340 = 2190
-1.5x = 2190-2340
-1.5x = -150
x = -150/-1.5
x = 100
Therefore 100 student tickets were sold
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What is the slope of the line in the graph?
Answer:
Hello,
answer slope =-3/4=-0.75
Step-by-step explanation:
Line is passing through (0,1) and (4,-2)
[tex]\Delta y=-2-1=-3\\\\\Delta x=4-0=4\\\\Slope=\dfrac{-3}{4}[/tex]
Write the quadratic function f(x) = x2 - 2x - 8 in factored form.
A) f(x) =(x - 4)(x - 2)
B) f(x) =(x + 4)(x - 2)
C) f(x) =(x - 4)(x + 2)
D) Rx) =(x + 4)(x + 2)
Answer:
Hello,
answer C
Step-by-step explanation:
[tex]f(x)=x^2+2x-8\\\\=x^2-4x+2x-8\\\\=x(x-4)+2(x-4)\\\\=(x-4)(x+2)\\\\Answer\ C[/tex]
Need tha answer explained
Answer:
Bri what do you mean explanation your answer is correct
Please mark me brainliest thanks
Answer:
It is 77.2, so your anwer is correct.
Step-by-step explanation:
Finding decimal divided by decimal too hard? Don't worry, I've got your back! To do division, you can do it the hard way by just dividing it, but there's something more simple.
Move the dividend's decimal point to the right until it's not a decimal. Do the same with the divisor, but it depends on how many decimal places on the dividend was moved by. So in this case, you move it by 2 decimal places for BOTH! Then you just simply divide it. It gives you the same answer.
BTW if I didn't make my explanation clear, please comment.
X, 2X + 11 and 4X - 3 are consecutive terms of an arithmetic sequence. Find the constant difference between terms. Give a formula for finding the nth term of the sequence. Use your formula to find the 27th term of this sequence.
Common difference between the terms is 36
Formula for nth term is [tex]a_n=36n-11[/tex]
27th term is 961
Given :
X, 2X + 11 and 4X - 3 are consecutive terms of an arithmetic sequence
To Find:
We need to find the constant difference between the given terms and also find the nth term . Also find the 27th term .
To find the difference , we need to take the difference of consecutive terms
[tex]2x+11-x=x+11\\\\4x-3=(2x+11)= 4x-3-2x-11=2x-14[/tex]
Both the common differences are equal
[tex]x+11=2x-14\\Solve \; for \; x\\Subtract \; x\\11=x-14\\Add \; 14\\x=25[/tex]
First term is 25
second term is 2(25)+11=61
Difference is 61-25=26
Common difference = 36
Use nth term formula is
[tex]a_n=a+(n-1)d\\a=25 (first term )\\d=36\\a_n=25+(n-1)(36)\\a_n=25+36n-36\\a_n=36n-11[/tex]
To find 27th term , replace n with 27
[tex]a_{27}=36(27)-11=961[/tex]
Learn more : brainly.in/question/41142594
Write the phrase as an algebraic expression: 3 less than 4 times a number
Answer:
4x-3 is the expression to your question
Answer:
3[tex]\leq[/tex]4x
Step-by-step explanation:
find the equation of the line that is perpendicular to y=6x-2) and contains to the point (6-,2)
Answer:
y = -1/6x - 1.
Step-by-step explanation:
I am assuming that the point id (6, -2).
The slope of the required line = -1/6.
y - y1 = m(x - x1) where m = slope and x1,y1 is a point on the line so we have
y - (-2) = -1/6( x- 6)
y + 2 = -1/6x + 1
y = -1/6x - 1.
If (x^2−1)/(x+1) = 3x + 5, then x + 3 =
(A) -3
(B) -2
(C) 0
(D) 2
(E) 4
-14=3-c+(9+5c) solve for c
Answer:
c=-26/4 simple addition and multiplation
Step-by-step explanation:
[tex] - 14 = 3 - c + (9 + 5c) \\ - 14 = 3 - c + 9 + 5c \\ c - 5c = 3 + 9 + 14 \\ - 4c = 3 + 9 + 14 \\ - 4c = 26 \\ - 2c = 13 \\ c = - \frac{13}{2} \\ c = - 6.5[/tex]
What is the maximum value of -4z^2+20z-6?
Answer:
Hello,
19
Step-by-step explanation:
2 methodes:
1)
[tex]y=-4x^2+20x-6\\\\=-4(x^2-5x)-6\\\\=-4(x^2-2*\dfrac{5}{2}*x+\dfrac{25}{4} ) +25-6\\\\=-4(x-\frac{5}{2} )^2+19\\\\Maximum\ =19 \ if\ x=\dfrac{5}{2} \\[/tex]
2)
y'=-8x+20=0 ==> x=20/8=5/2
and y=-4*(5/2)²+20*5/2-6=-25+50-6=19
finding maximums/minimums in quadratic equations:
The maximum value is 19
We want to find the maximum value of:
y = -4z^2+20z-6
Here, you can see that we have a quadratic equation with a negative leading coefficient.
This means that the arms of the graph will go downwards. From this, we can conclude that the maximum will the at the vertex (the highest point).
Remember that for a general equation like:
y = a*x^2 + b*x + c
The x-value of the vertex is:
x = -b/(2a)
(you can see that the variable is a different letter, that does not matter, is just notation)
Then for our equation:
y = -4z^2+20z-6
The z-value of the vertex is:
z = -20/(2*-4) = -20/-8 = 5/2
Then the maximum of the equation:
y = -4z^2+20z-6
is that equation evaluated in z = 5/2
So we get:
y = -4*(5/2)^2 + 20*(5/2) - 6 = 19
The maximum value is 19
If you want to learn more about this topic, you can read:
https://brainly.com/question/14336752
What's the equation of the graph shown above? ) y = 4x + 2 B) y = 4x – 2 C) y = 5x + 2 D) y = 2x + 4
Answer:
i need the graph
Step-by-step explanation:
.
If f(x) = x2 + 9x – 14 and g(x) = x2 – x + 3, find (f – g)(x).
Answer:
10x-17
Step-by-step explanation:
f(x) = x^2 + 9x – 14
g(x) = x^2 – x + 3
(f – g)(x)=x^2 + 9x – 14 - (x^2 – x + 3)
Distribute the minus sign
(f – g)(x)=x^2 + 9x – 14 - x^2 + x - 3
Combine like terms
=10x-17
Maria is using a meter stick to determine the height of a door. If the smallest unit on the meter stick is centimeters, which measurement could Maria have used to most accurately record the height of the
door?
Answer:
2.31 m
Step-by-step explanation:
with marking down to centimeter length, one can only estimate accurately to the nearest centimeter or hundredth of a meter.
Answer:2.31 meter
Step-by-step explanation: none
HELP ME PLEASE ANYONE FOR 20 POINTS
Answer:
The correct answer is no.B
Please help urgently
[tex]\sqrt{-25[/tex]
Answer:
±5i
Step-by-step explanation:
sqrt(-25)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(-1) sqrt(25)
±i 5
±5i
A covered wagon on the Oregon
Trail could travel about 2.5 miles
per hour on flat terrain. About how
many miles could it travel in
9 hours?
Answer:
3.6miles
Step-by-step explanation:
9/2.5=3.6
All 20 children at a party were given one cookie, and then some were given an additional cookie. If a total of
32 cookies were given out, how many children received an additional cookie?
8
O 10
О о о
O 12
o 14
Answer:
If there were 20 children at a party, and each were given one cookie, then a total of 20 cookies were given out.
However, this is not the case, as 32 cookies were given out. So, we can see that 32 - 20 children, or 12 children, received one additional cookie.
Let me know if this helps!
write 20.99988 as a mixed number
Answer:
Wouldn't it just be
24997
20 ------------
25000
Step-by-step explanation:
Answer:
20 24997/25000
Step-by-step explanation:
1. Convert 0.99988 into a fraction...99988/100000
2.Simplify with greatest common factor.....99988/4=24997 100000/4=25000
24997/25000
3. Add 20 to 24997/25000......20 24997/25000
using complex number system Compute the three cube roots of z = −8.
Write z = -8 in polar form:
[tex]z = -8 = 8e^{i\pi}[/tex]
Then the cube roots of z are
[tex]z^{1/3} = 8^{1/3} e^{i\left(\frac{\pi+2n\pi}3\right)[/tex]
where n ∈ {0, 1, 2}, or
[tex]z^{1/3} \in \left\{8^{1/3} e^{i\pi/3}, 8^{1/3} e^{i\pi}, 8^{1/3} e^{i\,5\pi/3}\right\} \\\\ z^{1/3} \in \left\{2 \left(\dfrac12 + i\dfrac{\sqrt3}2\right), -2, 2 \left(\dfrac12-i\dfrac{\sqrt3}2\right)\right\} \\\\ \boxed{z^{1/3} \in \left\{1+i\sqrt3, -2, 1-i\sqrt3\right\}}[/tex]
use different method of depreciation for each of the assests and explain why u used the method (ex : straight line method, double declining method, unit of production method)
Step-by-step explanation:
sorry but I don't know this answerA cubical water tank is 80 cm broad. find the volume of tank?
Answer:
512000
Step-by-step explanation:
l=80cm
v=l^3
=80^3
=512000cm^3
Which equation represents a line with slope į and y-intercept -6?
2x +3y=-6
3x - 2y= 6
2x - 3y= 18
3x - 2y= 12
Answer:
Answer:y=-2/9+3
Step-by-step explanation:
resolve 2x^2+5x-1÷x(x-1)(x+2) into partial fractions.
Solve the equation for y. Identify the slope and y-intercept then graph the equation.
Y=-3x+1
Y=
M=
B=
Please Include a picture of the graph and show your work if you can
Answer:
y = 1 m = -3 b = 1
Step-by-step explanation:
y = mx + b y = -3x + 1
y = 1
m = -3
b = 1
