Answer:
What does the triangle look like?
If f(x) = 4x^5 + 5x^3 +3, then what is the remainder when f(x) is divided by
X+2?
Answer: x2 + 4x + 9 on top, with a remainder of r(x) = 30
Step-by-step explanation:
The remainder of the division of the given polynomial by (x +2) is; -165.
What is the remainder of the division of the Polynomial by (x -2)?It follows from the task content that the remainder of the polynomial division is required.
On this note, the remainder of the division is the f(x) at x= -2.
f(-2) = 4(-2)⁵ + 5(-2)³ +3 = 4(-32) + 5(-8) + 3
f(-2) = -165.
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The number of bacteria in a culture is increasing according to the law of exponential growth. The initial population is 240 bacteria, and the population after 12 hours is double the population after 1 hour. How many bacteria will there be after 3 hours
Answer:
240
Step-by-step explanation:
According to law of exponential growth,
[tex]y=y_0e^{kt}[/tex]
Here, [tex]y_0[/tex] denotes the initial amount and k is the rate constant of the equation.
Now, the initial population is 240 bacteria.
Put [tex]y_0=240[/tex]
So,
[tex]y=240e^{kt}[/tex]
The population after 12 hours is double the population after 1 hour.
[tex]y(12)=2y(1)[/tex]
[tex]240e^{12k}=240e^{k} \\e^{12k}=e^{k} \\e^{12k-k}=1\\e^{11k}=1\\11k=log 1=0\\k=0[/tex]
(Formulae used: [tex]\frac{e^x}{e^y}=e^{x-y}\,,\,log 1=0[/tex])
So,
[tex]y=240e^{0}=240\\y=240[/tex]
Therefore,
Number of bacteria after 3 hours = 240
(7.5.C) Similarity Problems
Answer:
D
Step-by-step explanation:
Bus X travels 224 miles in 4 hours. Write the equation of the line that describes the relationship between distance y and time x.
Answer:
The answer is 56
Step-by-step explanation:
The equation is Y=56x+4 I think
The equation of the line that describes the relationship between distance y and time x from the given graph is y=56x.
Given that, bus X travels 224 miles in 4 hours.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The coordinate points of a line from the given graph are (4, 224) and (1, 56).
Here, slope (m) = (56-224)/(1-4)
= -168/(-3)
= 168/3
= 56
Put m=56 and (x, y)=(4, 224) in y=mx+c, we get
224=56(4)+c
⇒ c=0
Substitute m=56 and c=0 in y=mx+c, we get
y=56x+0
⇒ y=56x
Therefore, the equation of the line that describes the relationship between distance y and time x from the given graph is y=56x.
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choose the correct algebraic expression for each phrase 13 times the cost of one ticket
PLS HELP IF U KNOW THE ANSWER
t÷13
t-13
13+t
13t
Answer:
13t
Step-by-step explanation:
Decrease 950 by 36%.
Answer:
342
Step-by-step explanation:
950×0.36=342.....
Answer:
608
Step-by-step explanation:
100-36 =64 which means you want the answer to be 64% of the original value.Find 10% of 950 = 95Mulitply by 6.4 because 10 times 6.4 = 6495 * 6.4 =608What is the y-intercept of this graph
Answer:
0
Step-by-step explanation:
It goes through 0 it goes through the origin
pls help it's due in 4 mins
Answer:
The mistake is the height has to be 6
Step-by-step explanation:
A=B times H
A= 11 times 6
A=66 divided by 2
A= 33 units squared
Hopefully this helps!
Answer:
the answer is 6 .....
no need to explain
The rabbit population in a forest area grows at the rate of 9% monthly. If there are 242 rabbits in September, find how many rabbits (rounded to the nearest whole number) should be expected next September. Use
y
=
242
(
2.7
)
0.09
t
y
=
242
(
2.7
)
0.09
t
Answer:
503 should be the answer
Step-by-step explanation:
Answer:
i think its 503
Step-by-step explanation:
242 multiplied by 0.09 = 21.78
21.78 multiplied by 12 = 261.36
added by 242 = 503.36
Answer please :) I honestly don’t know and confused
68
I think, unless if it is multiplied =48
Answer:
48
Step-by-step explanation:
the h value is 8, so multiply 6 and 8,
for future reference, is there is no symbol in the middle, then you always multiply it
2. Which of the following gives a valid reason for using the given
solution method to solve the system of equations shown?
Equation 1: 4x - 5y = 4
Equation li: 2x + 3y = 2
a Elimination; a coefficient in Equation is an integer multiple of a coefficient
in Equation II.
b Elimination; a coefficient in Equation II is an integer multiple of
a coefficient in Equation 1
c Substitution; equation I can be solved for x in one step by dividing both
sides by 4
d Substitution; equation can be solved for x in one step by subtracting 3y
from both sides.
Answer:
A. Elimination; a coefficient in Equation I is an integer multiple of a coefficient
in Equation II.
Step-by-step explanation:
4 is a multiple of 2. Therefore, the answer would be A.
How do you write 3.684 × 103 in standard form?
If the Washington Monument is 3025 square feet and an average gallon of paint covers 400 square feet, how much paint would it take to cover it all up? PLEASE HELP WILL GIVE BRAINLIEST. I’m also wondering how I would go about solving this? I have a lot more.
Divide total area by area of a gallon of paint:
3025 / 400 = 7.56
Because there is a decimal answer you need to round up tot he next whole number.
You would need 8 gallons of paint.
What is the slope in the Y intercept of the line on the graph below
slope= -4, Y intercept = 1
slope =-4, Y intercept = 4
slope = -1/4, Y intercept = 1
slope = -1/4, Y intercept = 4
Answer:
just by looking at the graph you can see that the y int is one, so that eliminates two answers already. Then the slope is rise over run. (best thing to remember in math. rise over run) so pick two points. (0, 1) and (4,0) were the first ones i saw. to get from those two points you go from (0,1) over 4 (thats your run) and from there down 1 (thats your rise) to get to (0,4). You would then do rise over run (and because your rise goes down its negative) to get -1/4 as your slope. The answer is slope= -1/4, Y intercept = 1
Answer:what he said is true
Step-by-step explanation:
hope this helps
According to this author, the stories about Nancy Hart . As a result, they are to the study of Georgia’s past.
ill mark you brailiest
Answer:
According to this author, the stories about Nancy Hart
✔ likely have some basis in truth
.
As a result, they are
✔ very important
to the study of Georgia’s past
Step-by-step explanation:
I just took it on Edge 2020
100 PTS!!!! Enter numbers into the table so that the paired values are in a proportional relationship.
x 1 2 3 [_} 5
Y [__} 10 15 20 25
Answer:
Answer is
1,2,3,4,5
5,10,15,20,25
just did the k12 test
Answer:
1,2,3,4,5
5,10,15,20,25
Step-by-step explanation:
solve for x and y
x +2y= -6
-5x+4y=2
Answer:
y=1/2+5x/4
x=−6−2y
Step-by-step explanation:
i hope this helped :)
Help me please pleasessssss
An Internet site sells 120 types of cell phones. The ratio of the number of smartphones to the number of feature phones is 3:5. How many of the 120 types of cell phones are smartphones?
Use the on-screen keyboard to type your answer in the box below.
Answer:
Number of smartphones = 45
Step-by-step explanation:
Given:
Total number of phones = 120
Ratio [Smartphones to feature phones] = 3:5
Find:
Number of smartphones
Computation:
Number of smartphones = 120[3/(3+5)]
Number of smartphones = 120[3/(8)]
Number of smartphones = 360 / 8
Number of smartphones = 45
Use the variable, n, to write an expression for seven less than a number.
Answer:
n-7 would be the equation
Answer:
n - 7
Step-by-step explanation:
n - 7
one month Tammy rented 2 movies and 3 video games for a total of $25. The next month she rented 4 movies and 8 video games for a total of $61. Find the
rental cost for each movie and each video game.
Answer:
cost of each video game = $5.50
cost of each movie = $4.25.
Step-by-step explanation:
Let m represent cost per movie
g represents cost per video game.
Create two equations to represent the total cost Tammy rented movie and video games in each month, and solve simultaneously for each variable:
First month:
[tex] 2m + 3g = 25 [/tex] => equation 1
Second month:
[tex] 4m + 8g = 61 [/tex] => equation 2
Multiply equation 1 by 4, and multiply equation 2 by 2 to derive:
4 × [tex] 2m + 3g = 25 [/tex]
2 × [tex] 4m + 8g = 61 [/tex]
[tex] 8m + 12g = 100 [/tex] => equation 3
[tex] 8m + 16g = 122 [/tex] => equation 4
Subtract equation 4 from equation 3
You'd have:
- 4g = - 22
Divide both sides by -4
g = 5.5
Thus, the cost of each video game = $5.50.
Substitute g = 5.5 in equation 1 and solve for m.
[tex] 2m + 3g = 25 [/tex]
[tex] 2m + 3(5.5) = 25 [/tex]
[tex] 2m + 16.5 = 25 [/tex]
Subtract 16.5 from each side
[tex] 2m = 25 - 16.5 [/tex]
[tex] 2m = 8.5 [/tex]
Divide both sides by 2
[tex] m = 4.25 [/tex]
Thus, cost of each movie = $4.25.
Andy is scuba diving. He starts at sea level and descends 10 feet in 2 1/2 minutes. If it continues this rate, where will Andy be in relation to sea level after 6 minutes?
Answer:
In 6 minutes, the descent will be
(4 ft/min)*(6 min) = 24 ft
9.81 rounded to the nearest 10th is what?
Answer:
9.80
Step-by-step explanation:
What is 87B -179+957÷87
Answer:
8,677
Step-by-step explanation:
because the chemical in 87b is the same as 17yu so it would be 8,677.
Hotdogs are sold in packages The graph below shows the total number of hotdogs sold relative to the number of packages what does the point (4,2) mean in the context of the situation
Answer:
do you still need help
Step-by-step explanation:
to this question
Answer:
C
Step-by-step explanation:
BIG POINT
Describe the significance of the unit circle to Trigonometry. Make connections to solving, graphing, identities, and other key concepts included in this course. Provide at minimum of 4 connections with an explanation of the connections.
Write in paragraph please.
Answer: (compiled from google)
One radian is the measure of the central angle of a circle such that the length of the arc is equal to the radius of the circle.
A full revolution of a circle ( 360 ∘ ) equals 2 π r a di a n s. This means that 1 radian = 180 ∘ π .
The formula used to convert between radians and degrees is angle in degrees = angle in radians ⋅ 180∘ π .
The radian measure of an angle is the ratio of the length of the arc to the radius of the circle ( θ = sr ) . In other words, if s is the length of an arc of a circle, and r is the radius of the circle, then the central angle containing that arc measures radians.
Key Terms
arc: A continuous part of the circumference of a circle.
circumference: The length of a line that bounds a circle.
radian: The standard unit used to measure angles in mathematics. The measure of a central angle of a circle that intercepts an arc equal in length to the radius of that circle.
The x – and y -coordinates at a point on the unit circle given by an angle
t are defined by the functions x = cos t and y = sin t .
Although the tangent function is not indicated by the unit circle, we can apply the formula
tan t = sin t cos t to find the tangent of any angle identified.
Using the unit circle, we are able to apply trigonometric functions to any angle, including those greater than 90 ∘ .
The unit circle demonstrates the periodicity of trigonometric functions by showing that they result in a repeated set of values at regular intervals.
Key Terms
periodicity: The quality of a function with a repeated set of values at regular intervals.
unit circle: A circle centered at the origin with radius 1.
quadrants: The four quarters of a coordinate plane, formed by the x – and y -axes.
If this doesn't help I appologize
If a boat uses 15 gallons of gas to travel 70 miles, how many miles can the boat travel on 60 gallons of gas?
Answer:
280 miles
Step-by-step explanation:
First you multiply 15 x 4= 60 gallons. You then multiply 4 x 70=280 miles
Hope this helps!
Find the value of x. Then find the measure of each labeled angle.
Answer:
1. 70
2. 30
Step-by-step explanation:
ok, so we first know that x+(x-40)+90+90=360, so if we simplfy, we will get x+x+40=180, and 2x=140, so x is 70. 70-40 is 30.
John has $200 in his bank account he made a purchase at the grocery store that was $1.50 more than he had in his bank account select the point on the number line that represents the balance of his bank account after buying groceries.
Answer: You are right
Step-by-step explanation:
What could be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each other?
Answer:
C. PR and SQ have the same midpoing
Step-by-step explanation:
The theorems that could be shown hat the diagonals of parallelogram PQRS bisect each other are explained below.
Let the point where the diagonals intersect be called Point T.Now, looking at the parallelogram, we can say that;
∠QPT = ∠SRT (This is because the alternate angles between 2 parallel lines are always equal)
Secondly, ∠PQT= ∠RST.This is This is because the alternate angles between 2 parallel lines are always equal.
Thirdly; ∠PTQ=∠RTSThis is because they are vertically opposite angles.
Now, from AAA congruence theorem, we can say that;△PTQ is congruent to △RTS.
Thus, we can say that;
PT = RT and QT = ST
This proves that they bisect each other.
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