Answer:
6.7%
Step-by-step explanation:
cost: 75 cedis
sale price: 80 cedis
amount of profit: 80 cedis - 75 cedis = 5 cedis
Now we find what percent 5 cedis is of 75 cedis.
percent = part/whole * 100%
percent = 5/75 * 100%
percent = 0.06666 * 100%
percent = 6.6666%
percent = 6.7%
The polynomial equation x3- 4x2 + 2x+ 10 = x2 - 5x-3 has complex roots 3+2i. What is the other root? Use a graphing
calculator and a system of equations.
Answer:
Step-by-step explanation:
Given Equation:
x^3- 4x^2 + 2x+ 10 = x^2 - 5x-3
which simplifies to
x^3- 5x^2 + 7x+ 13 = 0
Given one of the roots is x = 3x+2i, the conjugate is therefore x = 3-2i.
The product is real, (x-3+2i)(x-3-2i) = x^2-6x+13
The other root can therefore be obtained by long division
(x^3- 5x^2 + 7x+ 13)/(x^2-6x+13) = x+1, or x=-1
Therefore the three roots are:
{x=3-2i, x=3+2i, x=-1 }
Which section of the graph represents the solution of the system of inequalities shown?
Answer:
Q
Step-by-step explanation:
5x+15y ≥ -20
Solve for y
15 y≥ -5x-20
Divide by 15
y ≥ -5x/15 -20/15
y ≥ -1/3 x -4/3
Y is greater than or equal to so shade above and on the line
4x-2y > 6
Solve for y
-2y > -4x+6
y < 2x -3
Shade below the line
The double shaded area is the solution
==========================================================
Explanation:
Let's focus on the inequality 4x-2y > 6
Plug in (x,y) = (0,0) to find that...
4x-2y > 6
4(0)-2(0) > 6
0 > 6
This is a false statement. So that means (0,0) is not in the shaded region for 4x-2y > 6. So we'll shade the opposite side of the dashed line to shade regions Q and R (i.e. stuff below the dashed line).
-----------------
Let's check the point (0,0) with the other inequality as well
[tex]5x + 15y \ge -20\\\\5(0) + 15(0) \ge -20\\\\0 \ge -20\\\\[/tex]
This is true because 0 is to the right of -20 on the number line.
So we'll shade regions P and Q to represent the solution set for this inequality. These regions are above the boundary line. Points on the boundary are also included.
------------------
To summarize so far, we found that
regions Q and R make 4x-2y > 6 true, regions P and Q make [tex]5x + 15y \ge -20\\\\[/tex] true.The overlap is region Q which is the final answer
Any point from region Q satisfies both 4x-2y > 6 and [tex]5x + 15y \ge -20\\\\[/tex] at the same time. A point on the solid boundary line is part of the solution set, but stuff on the dashed boundary line are not solution points.
What's the special name for a quadratic that has one solution?
219.44 in word form
Answer:
two hundred nineteen and 44
OR
two hundred nineteen point 44
Step-by-step explanation:
do not say AND before nineteen. saying AND represents a decimal point. Both can be used (point or and)
3 in
The volume of
the figure is
cubic in.
6 in
3 in
3 in
7 in
16 in.
Answer:
6in is the cubic volume
Step-by-step explanation:
If I'm wrong just correct me
Bab needs help please!
Answer:
V =282.6 in ^3
Step-by-step explanation:
The volume of a cylinder is
V = pi r^2 h
We know pi = 3.14 r= 3 and h =10
V = 3.14* 3^2 *10
V =282.6
An alarm bell will ring when the pressurized gas in a cylinder reaches an internal pressure that is 215% of the maximum allowable pressure. If the maximum allowable pressure
is 220 pounds per square inch, at what pressure, in pounds per square inch, will the alarm bell ring?
Answer:
The alarm bell will ring at 473 psi.
Step-by-step explanation:
To answer this, find 215% of 220 pounds per square inch:
Convert the percentage 215% to its decimal fraction equivalent, 2.15, and then multiply 220 pounds per square inch by it:
2.15(220 psi) = 473 psi
The alarm bell will ring at 473 psi.
Write an equation in slope-intercept form of
the line that passes through (-6,4) and
(-1,2).
Answer:
Step-by-step explanation:
(-6 , 4) & (-1 , 2)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{2-4}{-1-[-6]}\\\\= \frac{-2}{-1+6}\\\\= \frac{-2}{5}[/tex]
m = -2/5 & (-6 , 4)
y -y1 = m(x -x1)
[tex]y - 4 = \frac{-2}{5}(x - [-6])\\\\y - 4 = \frac{-2}{5}(x + 6)\\\\y - 4 = \frac{-2}{5}x + 6*\frac{-2}{5}\\\\y = \frac{-2}{5}x -\frac{12}{5}+4\\\\y=\frac{-2}{5}x-\frac{12}{5}+\frac{4*5}{1*5}\\\\y=\frac{-2}{5}x-\frac{12}{5}+\frac{20}{5}\\\\y=\frac{-2}{5}x+\frac{8}{5}[/tex]
The formula to estimate organic growth is Pf=P0 . e^rt
MegaVax manufactures vaccinations. The microbe jagus rashii, is being grown for a vaccine against a new strain of influenza. Jagus rashii grows at a rate of 25.0% per hour. How long will it take for a culture of 1,349 jagus rashii to grow to a population of 75,709?
Express your answer to the nearest hundredth of an hour.
Answer:
16.12 hrStep-by-step explanation:
If I got it right, we have:
Formula Pf = P0*e^(rt)Pf = 75709P0 = 1349r = 25% = 0.25t = ?Substitute the given values and solve for t:
75709 = 1349*e^(0.25t)e^(0.25t) = 75709/1349e^(0.25t) = 56.1223ln e^(0.25t) = ln 56.12230.25t = 4.03t = 4.03/0.25t = 16.12 hrdifferentiate
f(x)= 186.5
Answer:
Hope this helps!
Step-by-step explanation:
f'(x)=0
PLease help me answer this.
Answer:
1093.96
Step-by-step explanation:
900(1+.05)⁴=1093.955625
A card is drawn from a standard deck. Find the probability of drawing a heart or a 7.
=======================================================
Explanation:
There are A = 13 hearts and B = 4 copies of "7"
The count A+B = 13+4 = 17 may seem like it's the count of hearts or "7" cards, but we're double counting the 7 of hearts. So the true count is actually 17-1 = 16
There are 16 cards we want (either a heart or a "7") out of 52 total. Therefore, the probability is 16/52 = (4*4)/(4*13) = 4/13
Anyone know how to factorise this please ?! :)
9514 1404 393
Answer:
a) (x +2)(x +3)
b) x = -2 or -3
Step-by-step explanation:
a) The constants in the binomial factors will be divisors of 6 that have a sum of 5. You know that ...
6 = 1×6 = 2×3
The sums of these factor pairs are 7 and 5. You want the pair 2, 3. The factors are ...
x² +5x +6 = (x +2)(x +3)
__
b) The solutions to the equation are the values of x that make the factors zero:
(x +2) = 0 ⇒ x = -2
(x +3) = 0 ⇒ x = -3
Multiply or divide as indicated.
5a2.6a4
Answer:
3a^6
Step-by-step explanation:
Answer:
[tex]30 {a}^{6} [/tex]
Step-by-step explanation:
Hope it is helpful...
need help with statistics plssssss
Answer:
where is the question . ..... we are ready to help you
The middle school is 2.72 kilometers from Marsha's house and 1.54 kilometers from Ryan's house. How much farther does Marsha live from the middle school than Ryan? Group of answer choices
Answer:
1.18 kilometers
Step-by-step explanation:
The middle school is 2.72 kilometers from Marshal house
The school is also 1.54 kilometers away from Ryan house
Therefore the distance of Marshal house from the school can be calculated as follows
= 2.72-1.54
= 1.18 kilometers
Please help! 8th grade geometry! Thank you<3
Answer:
Length of the hypotenuse - 10
Step-by-step explanation:
To find the hypotenuse, we need to use the Pythagorean theorem.
a^2 + b^2 = c^2
8^2 + 6^2 = c^2
64 + 36 = c^2
c^2 = 100
c = 10
Which expression has a value closest to 1 ? (Use 3.14 as the value of pie.)
Answer:
The square root of 37 minus the square root of 26
[tex]\sqrt{37} -\sqrt{26}[/tex]
Step-by-step explanation:
a) 7 pi / square root 10 = 7(3.14)/3.162277660 = 6.95
b) square root 75 - square root 74 = 8.660254038-8.602325267=0.058
c) square root 37 - square root 26 = 6.082762530-5.099019514=0.98
s) 3 square root 5 - square root 20 / square root 2 =
3(2.236067978) - 4.472135955/1.414213562=6.708203934-3.162277661=
3.546
Find the number of turns or bumps in the graph of the function f(x) = 7x3 - 14x2 + 2.
The number of turns or bumps in the graph of the function[tex]f(x)=7x^3-14x+2[/tex] is 2.
What is function?
A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math.
f = {(a,b)| for all a ∈ A, b ∈ B}
Given,
[tex]f(x)=7x^3-14x+2[/tex]
Answer has shown in the attached file.
Hence, The number of turns or bumps in the graph of the function[tex]f(x)=7x^3-14x+2[/tex] is 2.
Learn more about Graph plotting:
https://brainly.com/question/11616742
#SPJ2
Find the value of x.
What is the range of 149 111 171 166 152 129 162 144
These triangles are congruent by the triangle congruence postulate [?]
Given:
A figure of two congruent triangles.
To find:
The triangle congruence postulate by which the given triangles are congruent.
Solution:
First label the vertices as shown below.
In triangle ABC and triangle CDA,
[tex]AB\cong CD[/tex] (Given)
[tex]\angle BAC\cong \angle DCA[/tex] (Given)
[tex]AC\cong AC[/tex] (Common side)
The corresponding two sides and their included angle are congruent in both triangles. So, triangles are congruent by SAS congruence postulate.
[tex]\Delta ABC\cong \Delta CDA[/tex] [SAS congruence postulate]
Therefore, the correct option is B.
Find x and y
(y+23)
(2x-17)
Answer:-2
Step-by-step explanation:
will mark brainliest
Answer:for points vgunvh
Step-by-step explanation:
PLSS help !!!Which of the following correctly shows the first step when factoring 3ab + 3ac – 4db – 4dc by grouping?
Answer:
Factorise:
3a(b+c)-4d(b+c)
Last one.
Further on:
(3a-4d)(b+c)
The factor 3ab + 3ac – 4db – 4dc can be grouped as
a(3b + 3c) - d(4b + 4c).
What is the difference between factoring and grouping?
We can break large polynomials into groups that transmit a common factor. This allows us to factor each separate group, then mix like terms. This exists named factoring by grouping.
Given: 3ab + 3ac - 4db - 4dc.
Expanding the equation a(3b + 3c): 3ab + 3 a c
=3 a b+3 a c-d(4 b+4 c)
Expanding the equation -d(4 b+4 c): -4bd - 4cd
a(3b + 3c) - d(4b + 4c) = 3ab + 3ac - 4bd - 4cd
Therefore, the correct answer is option b) a(3b + 3c) - d(4b + 4c).
To learn more about factoring and grouping
https://brainly.com/question/12675677
#SPJ2
I’ll give brainliest (No links, I will reported)
which of these is correct and why?
Answer:
A,E,G
Step-by-step explanation:
use sohcahtoa
sine = opposite/hypotenuse
cosine=adjacent/hypotenuse
tangent=opposite/adjacent
Matt is saving to buy a new motorcycle. If he deposits $70 at the end of each month in an account that pays an annual interest rate of 3.5%, how much will he have in
60 months? Assume that the compounding is being done monthly
Answer:
bro I don't know. I just need the points so I can keep getting answers. good luck tho I guess.
Question 3(Multiple Choice Worth 4 points)
(05.01)The graph shows the distance a car traveled, y, in x hours:
A coordinate plane graph is shown. The x-axis is labeled time in hours ,and the y-axis is labeled distance in miles. The line passes through the points 2 comma 60, and 4 comma 120.
What is the rise-over-run value for the relationship represented in the graph?
20
30
1 over 20
1 over 30
Answer:
hello there,
the answer for this question would be 30
Step-by-step explanation:=
Given: The x-axis represents the time in hours and the y-axis represents the distance in miles.
The line passes through the points and
To find: The rise-over-run value for the relationship in the graph.
m=rise over run
=y2-y2/x2-x1
=120-60/4-2
= 60/2
= 30
Hope this helps. if correct please make me brainliest
thank you,
have a good day!!
Help Math question Write ur answers
Answer:
this can be solved by simple unitary method
[tex]time \: taken \: to \: remove \: \frac{5}{9} \: tons \: of \: dirt \: = 1 \: hr \\ time \: taken \: to \: remove \: \frac{31}{6} \: tons \: of \: dirt \: = \frac{31}{6} \times \frac{9}{5} \: hr \\ = \frac{93}{10}hr \\ = 9 \times \frac{3}{10} hr[/tex]
Evaluate the expression when a = -6 and b = 3 A -2b
Answer:
-6- (2(3))
-6-6=-12
Answer= -12
Step-by-step explanation: