9e^2x - 30e^x + 25 = 0
Please I need a step by step solution urgently
Answer:
Here you go
Step-by-step explanation:
The first term is, 9e2 its coefficient is 9 .
The middle term is, +30e its coefficient is 30 .
The last term, "the constant", is +25
Step-1 : Multiply the coefficient of the first term by the constant 9 • 25 = 225
Step-2 : Find two factors of 225 whose sum equals the coefficient of the middle term, which is 30 .
15 + 15 = 30 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 15 and 15
9e2 + 15e + 15e + 25
Step-4 : Add up the first 2 terms, pulling out like factors :
3e • (3e+5)
Add up the last 2 terms, pulling out common factors :
5 • (3e+5)
Step-5 : Add up the four terms of step 4 :
(3e+5) • (3e+5)
Which is the desired factorization
Show the work for this problem
Identify the reference angle Ф for each given angle, Ф.
When ∅=300°, Ф=
=====================================================
Explanation:
The given angle is ∅ = 300. This x value is between 270 and 360, so we're in quadrant IV (the southeast quadrant)
The rule to get the reference angle y for this quadrant is
Ф = 360-∅
This tells us the angle made with the positive x axis
Ф = 360-∅
Ф = 360-300
Ф = 60
A 60 degree angle forms with the positive x axis as shown in the diagram below.
((-2,3) and (4,7)
what is the distance of this
Answer:
Step-by-step explanation:
(-2, 3 ) ; (4 , 7)
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]=\sqrt{(4-[-2])^{2}+(7-3)^{2}}\\\\=\sqrt{(4+2)^{2}+(7-3)^{2}}\\\\=\sqrt{6^{2}+4^{2}}\\\\=\sqrt{36+16}\\\\=\sqrt{52}\\\\=\sqrt{2*2*13}\\\\=2\sqrt{13}[/tex]
One side of a hexagon is 9 units. What is the perimeter of the hexagon?
Answer:
10
Step-by-step explanation:
Answer:
9 times 6
Step-by-step explanation:
One side of the hexagon is 9 units. Because a hexagon has 6 sides, and you are trying to find the perimeter, you would multiply 9 times 6 to get the answer.
Triangle MNO is rotated 180degree using the origin as the center of rotation.
On a coordinate plane, triangle M N O has points (negative 3, 2), (negative 3, 3), (negative 5, 2). Triangle M prime N prime O prime has points (3, negative 2), (3, negative 3), (5, negative 2).
Which sequences of transformations will produce the same results? Check all that apply.
a reflection over the x-axis and then a reflection over the y-axis
a reflection over the y-axis and then a reflection over the x-axis
a 90degree clockwise rotation about the origin and then a 90degree counterclockwise rotation about the origin
a translation 6 units right and then a reflection over the x-axis
a translation 4 units down and then a reflection over the y-axis
Answer:
The answer is (a) and (b).
Step-by-step explanation:
Just took the unit test on edge and got it right.
Answer:
A n B
Step-by-step explanation:
Trust
PLEASE HELPP!!!!!!!!
Answer:
2800, 320
350, 40
2800+320+350+40=3510
Step-by-step explanation:
(40*70)+(40*8)+(5*70)+(5*8)
In a school of 450 students, 48% are
girls. How many are girls?
Answer:
216
Step-by-step explanation:
.48 * 450 = 216
Answer:
There are 216 girls in that school.
Step-by-step explanation:
hope this helps! have a great day.
Only 0.1% of the individuals in a certain population have a particular disease (an incidence rate of 0.001). Of those who have the disease, 95% test positive when a certain diagnostic test is applied. Of those who do not have the disease, 90% test negative when the test is applied. Suppose that an individual from this population is randomly selected and given the test: a) Calculate P(positive test) b) Calculate P(has disease | positive test)
We're given
P(has disease) = 0.001
P(positive test | has disease) = 0.95
P(negative test | does not have disease) = 0.90
(a) By the law of total probability,
P(positive test) = P(positive test AND has disease) + P(positive test AND does not have disease)
Recall that the probability of an event A conditioned on another event B is
P(A | B) = P(A AND B) / P(B)
so that
P(positive test) = P(positive test | has disease) * P(has disease) + P(positive test | does not have disease) * P(does not have disease)
P(positive test) = 0.95 * 0.001 + (1 - 0.90) * (1 - 0.001)
P(positive test) ≈ 0.10
(b) From the definition of conditional probability, we hvae
P(A | B) = P(A AND B) / P(B) = P(B | A) P(A) / P(B)
so that
P(has disease | positive test) = P(positive test | has disease) * P(has disease) / P(positive test)
P(has disease | positive test) = 0.95 * 0.001 / 0.10
P(has disease | positive test) ≈ 0.0094
The probability will be "0.017699".
Given:
Incident rate,
0.1% or 0.001[tex]P(D) = 0.001[/tex][tex]P(D')= 1-0.001[/tex][tex]= 0.999[/tex]
[tex]P(\frac{P}{D} ) = 0.95[/tex][tex]P(\frac{N}{D} ) = 0.9[/tex]Now,
→ [tex]P(\frac{N}{D'} ) = 1-P(\frac{N'}{D'} )[/tex]
[tex]= 1-0.95[/tex]
[tex]= 0.05[/tex]
then,
→ [tex]P(\frac{D}{N} ) = \frac{Pr(D)\times P(\frac{N}{D} )}{P(N)}[/tex]
or,
[tex]= \frac{Pr(D)\times P(\frac{N}{D} )}{P(D) \ P(\frac{N}{D} )+P(D') \ P(\frac{N}{D'} )}[/tex]
By substituting the above values, we get
[tex]= \frac{0.001\times 0.9}{0.001\times 0.9+0.999\times 0.05}[/tex]
[tex]= \frac{0.0009}{0.0009+0.04995}[/tex]
[tex]= \frac{0.0009}{0.05085}[/tex]
[tex]= 0.017699[/tex]
Learn more:
https://brainly.com/question/16972053
PART A:
A car traveled 180 miles at a constant rate.
complete the table to show the rate at which the car was traveling if it was completed the same distance in each number of hours
travel time | rate of travel
5
4.5
3
2.25
PART B:
In the scenario in part a write an equation that would make it easy to find the rate at which the car was traveling in miles per hour r, if it traveled t hours
Answer:
Part B: r = 180/t
Step-by-step explanation:
In a world problem, the rate of change is
A. the y-intercept
B. the initial value
C. the slope of linear equation
D. the y-value
Answer:
the y intercept is the right answer
PLEASE HELP. EASY POINTS.
Answer:
2x^2+11x+12
Step-by-step explanation:
solve using FOIL
x + 4
_________ ________
2x | 2x² | 8x |
__________________
3 | 3x | 12 |
-----------------------------------
(x + 4) (2x + 3) = 2x² + 11x + 12
Eduardo has to make a 10 minute video of his test corrections for his Algebra 2 teacher in order to be eligible to retest. His teacher said he must stay within three minutes of the 10 minute requirement. Write an absolute value inequality that represents video lengths that meet the requirement. No spaces. On your keyboard,
Answer:
7 ≤ v ≤ 13
Step-by-step explanation:
Length of video required must be within 10 minutes
Submitted length of video must be with 3 minutes of the 10 minutes video
To create an absolute value inequality :
Let v = the range of value for which the required video will be :
|v - 10| = ±3
Lower boundary :
|v - 10| = - 3
v = - 3 + 10
v = 7
Upper boundary :
|v - 10| = 3
v = 3 + 10
v = 13
Hence,
7 ≤ v ≤ 13
What is b squared + 12 if b = 102?
I give brainliest if you right
Answer:
10416
Step-by-step explanation:
102 squared is 10404. 10404 + 12 = 10416
3.4z + 6.3 = -1.7z + 41.7
What’s z?
Answer:
z= 118/17 or 6.94
Step-by-step explanation:
i hope this is the right answer but try using Symbolab its what I use all the time
Which equation is equivalent to the given equation? x2 - 6x = 8
Answer:
See photo below
Answer:
(x-3)^2=17
Step-by-step explanation:
just took the test
Need some help please...
Answer:
C: Starting at 1103 you gain 91 feet each additional hour of climing.
Step-by-step explanation:
1.3 as a fraction answer please quick
Which one is the vertical axis?
Answer:
Step-by-step explanation:
Vertical by definition means up and down. The y-axis fits this description. Look at a picture of a Cartesian coordinate system
Answer:
the y-axis
Step-by-step explanation:
vertical is up and down
horizontal is side to side or left and right
y is up and down
the amount of money rachel earns varies directly with the number of hours she works. if sue earns $600 when she works 40 hours , how much will she earn for working 85 hours ?
Answer: She will earn $1275
Step-by-step explanation:
it says sue earns 600 for working 40 hours so divide 600 by 40 to find out how much earns per hour which is $15 (600/40=15) then you take 15 time 85 to find out how much she earns (15x85=1275).
Un padre está usando una manguera de jardín para llenar una pequeña piscina inflable para su hijo pequeño. La piscina tiene una capacidad de 90 galones. Apaga el agua después de 5 minutos, pero deja la manguera en la piscina durante otros 3 minutos antes de guardarla. En esta situación, la relación entre los galones de agua en la piscina y los 8 minutos desde que el padre comenzó a llenar la piscina puede verse como una función. 1. En esa función, ¿qué variable es independiente? ¿Cuál es dependiente?
Answer:
Water is being collected at the rate of 11.25 gallon per minute.
Step-by-step explanation:
In this function the filling of water in the pool is dependent on the number of minutes. The more time the tap is opened the greater amount of water can be accumulated in the pool .
So time is independent and water is the dependent variable.
The function can be represented by
f(x)= xt where t is the time in minutes
90 gallons= x * 8 minutes
or x= 90/8 = 11.25 gallon per minute.
So water is being collected at the rate of 11.25 gallon per minute.
Spanish
En esta función, el llenado de agua de la piscina depende de la cantidad de minutos. Cuanto más tiempo se abre el grifo, mayor cantidad de agua se puede acumular en la piscina.
Entonces el tiempo es independiente y el agua es la variable dependiente.
La función se puede representar por
F (x) = xt donde t es el tiempo en minutos
90 galones = x * 8 minutos
o x = 90/8 = 11,25 galones por minuto.
Entonces, el agua se recolecta a una velocidad de 11.25 galones por minuto.
Katy's 4 dogs eat a total of 16 dog biscuits every day. How many biscuits will they eat in 45 days?
Answer:
720
Step-by-step explanation:
16*45=720
Answer:
720
Step-by-step explanation:
If in 1 day they eat 16 biscuits, then in 45 days they eat 45 * 16 biscuits.
45 * 16 = 720
Answer: 720
For f(x) = 2x + 1 and g(x) = x^2 - 7, find (f * g)(2)
Answer: x= -5
Step-by-step explanation: Plug 2 into g(x). Plug that answer into f(x).
When you roll two number cubes, what are the odds, in simplest form, in favor of getting two numbers less than 3?
A• 1:8
B• 8:1
C• 1:9
D• 9:1
(Worth 30+ Points)
Answer:
c
Step-by-step explanation:
If two number cubes are rolled, the odds in favor of getting two numbers less than 3 is 1 : 9.
What is the probability?Probability determines the odd that an event would happen. The odd the event occurs is 1 and the odd that the event does not occur is 0.
Odds in favor of getting two numbers less than 3 = (numbers less than 3 / total numbers) x (numbers less than 3 / total numbers)
2/6 x 2/6 = 1/9
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ2
If fx) = 6x+ 2, which of the following values would complete the table shown?
16 and 64
O O and 1
64 and 70
O 14 and 50
Answer:
14 and 50
Step-by-step explanation:
An engineer is building a bridge that should be able to hold a maximum weight of 1 ton. He builds a model of the bridge that is exactly 4 times smaller than the actual bridge. 16 ounces = 1 pound. 2,000 pounds = 1 ton. If a test of the model shows that it holds 8,000 ounces, will the bridge hold 1 ton? 8,000 ounces on the model is equal to ounces on the actual bridge. Convert ounces to pounds. The actual bridge can hold pounds. Therefore, the bridge hold 1 ton.
Answer:
The bridge can hold 1 ton
Step-by-step explanation:
Given that :
Model of bridge built is exactly 4 times smaller than actual bridge
Model bridge : actual bridge
1 : 4
From test,
Model bridge can hold 8000 ounces
Since actual bridge is 4 times the model bridge,;
Then, actual bridge should hold (8000 * 4) ounces = 32000 ounces
16 ounces = 1 pound
2000 pound = 1 ton
Hence,
32,000 ounces = (32000 / 16) pounds = 2000 pounds
Hence,
2000 pounds = 1 ton
Answer: 1 ton
Step-by-step explanation:
Write the equation of the line fully simplified slope-intercept form.
Answer:
The equation of the line in slope-intercept form is y = -x + 6
Step-by-step explanation:
The form of the slope-intercept form of the linear equation is
y = m x + b, where
m is the slope of the lineb is the y-interceptThe rule of the slope is [tex]m=\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the lineLet us choose two points on the line to form the equation
∵ Points (6, 0) and (0, 6) lie on the line
∴ x1 = 6 and y1 = 0
∴ x2 = 0 and y2 = 6
→ Substitute them in the rule of the slope to find it
∵ [tex]m=\frac{6-0}{0-6}=\frac{6}{-6}=-1[/tex]
∴ m = -1
→ Substitute it in the form of the equation above
∵ y = -1(x) + b
∴ y = -x + b
∵ b is the y-intercept
∵ The y-intercept is the value of y at x = 0
∵ At x = 0, y = 6
∴ b = 6
→ Substitute the value of b in the equation
∵ y = -x + 6
∴ The equation of the line in slope-intercept form is y = -x + 6
i know she graphed it correctly but i don't know the steps she took to graph it
She graphed it correctly.
The inequality [tex]3y \le 2x[/tex] is the same as [tex]y \le \frac{2}{3}x[/tex] after dividing both sides by 3 to isolate y.
From here you graph [tex]y = \frac{2}{3}x[/tex] which is a straight line through (0,0) and (3,2). This line is made solid because of the "or equal to" as part of the inequality sign above.
We shade below the solid boundary due to the "less than" portion of the inequality sign.
Ashley Sigler gave 2/5 of her bonus check of $255 to a missionary family. How much
money did she give to the family?
Answer:
102
Step-by-step explanation:
i think it is right
The length of a rectangle is 6 feet and the width is 3 feet. Find the perimeter
of the rectangle.
Answer:
18
Step-by-step explanation:
6+6+3+3
6+6+6
18
