how many roots does y= x^5- 4x^2+ 3x
A.3
B.4
C.5
D.6
(x^2 is the power to)
Answer: 4
Step-by-step explanation:
We can write the equation as
[tex]x(x-1)^{2}(x^{2}+2x+3)=0\\\\x=0, 1, -1 \pm i\sqrt{2}[/tex]
Therefore, there are 4 distinct roots.
To investigate housing needs in the future, a town planning committee
created a model to help predict the growth of the population of the town. The
data are shown in the table.
Answer:
P(t) = 5.24(1.030)^t
Step-by-step explanation:
The model for P(t) , the population of the town, t years after 1985, best fits the data is option C. P(t) = 5.35 (1.029)^t.
What is Population Growth?Population growth is defined as the increase in the number of people which is calculated using population growth rate.
Population growth is an exponential function.
So, the function will be of the form,
P(t) = a (b)^t
Initial population is the population in 1985.
P(0) = a (b)⁰ = 5.35
⇒ a × 1 = 5.35 (Since any number raised to 0 is 1)
⇒ a = 5.35
Population in 1990, that is after 5 years is,
P(5) = a (b)⁵ = 6.01
⇒ 5.35 (b)⁵ = 6.01
⇒ (b)⁵ = 1.123
⇒ b = 1.024
So the function which best models is P(t) = 5.35 (1.029)^t.
Hence the function is C. P(t) = 5.35 (1.029)^t.
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Your question is incomplete. The complete question is given in the image below.
Write an equation in slope-intercept form for the line with slope -3/2 and y -intercept 2 .
Answer:
Y= -3/2x + 2
If the y-intercept was negative it would be y= -3/2-2
Part B What is the unit for Warren’s data?
This is due tommorrow at 12:44PM!!!!!!!!
Answer: The unit for Warren’s data is the number of cars sold each day.
Sorry for the answer being so late!
!!!!please helppppppp
9514 1404 393
Answer:
13/18
Step-by-step explanation:
5 of the 18 students have a cat, so 13 of them do not.
The probability that a student in the group does not have a cat is 13/18.
a circle has an area of 64pi square inches which best represents the circumference of the circle A 16 inches B 32 inches C 50-inch D 25 inches
Answer:
16π
Step-by-step explanation:
Area= 64π
or, πr²= 64π
or, r²= 64
r= 8
circumference= 2πr= 2×π×8 = 16π
Enter the area of the triangle in square meters.Round your answer to the nearest hundredth.
Answer:
6.24
Step-by-step explanation:
To find the area of the triangle, it is base times height divided by 2 after you multiply. Height is 90 degrees from base so remember that.
In this example, do (2.6 x 4.8)/2
Equals 6.24
PLEASE HELP ME KSDAKJDSAJDJKS
Answer: x = 16
Step-by-step explanation:
60x - 60 = 900
60x = 960
60x / 60 = 960 / 60
x = 16
What is the degree of 4x6 - 2x3 + x-3 + x3?
Answer here
What’s the answer
Answer:
=4x6−x3+x−3
Step-by-step explanation:
Answer:
The degree of this polynomial is 6
Step-by-step explanation:
You write the greatest exponent
Subtract the polynomials:
(1 Point)
f(x) = 10x4 + 2x² +1; 8 (x) = 3x4 + 3x + 11
O f (x) – 8(x) = 7x4 + 2x2 – 3x – 10
O f(x) – 8 (x) = 7x4 + 2x2 – 3x + 12
O f (x) – 8(x) = 7x4 + 2x2 + 3x + 12
O f(x) – 8(x) = 7x4 + 2x2 + 3x - 10
Answer: thats the answer
Step-by-step explanation:
A square sandbox has sides that are 10 feet long. What is the sandbox's area?
Answer:
0.0929
Step-by-step explanation:
thats the answer
Negative nine times a
number equals -117.
Solve for x. Round to the nearest tenth.
15°
33
x
The length of x in the right triangle is 31.9 units.
How to solve the side of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the side of a right triangle can be found using trigonometric ratios as follows:
Hence,
cos 15° = adjacent / hypotenuse
adjacent side = x
hypotenuse side = 33 units
cos 15° = x / 33
cross multiply
x = 33 cos 15°
x = 33 × 0.96592582628
x = 31.8755522675
Therefore,
x = 31.9 units
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PLEASE HELP
I will give brainliest to right answer
Answer:
I'm pretty sure it is D because they're not super close to the line they're more spread out but I'm not rly sure
Dionne can fold 175 packing boxes in 50 minutes.
Elias can fold 120 packing boxes in 40 minutes.
Use unit rates to find how much time it will take each person to fold 210 packing boxes.
Drag the numbers to explain and show your answer. Numbers may be used once or not at all.
370803.54.550604
Dionne can fold
boxes in 1 minute and Elias can fold
boxes in 1 minute.
Dionne will fold 210 boxes in
minutes and Elias will fold 210 boxes in
minutes.
REFER THE ATTACHMENT ABOVE ☝☝☝☝
Answer:
[tex] \frac{176}{50m} = \frac{3.5}{1} [/tex]
RESULT
Use ratio and proportion.
Let x be the time it takes Dionne to fold 210 packing boxes:
[tex] \frac{175}{50} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 175x = 50(210) \\ \\ x = \frac{50(210)}{175} \\ \\ x = \frac{50(210)}{175} \\ \\ x = 60[/tex]
So, it will take Dionne 60 minutes to fold 210 packing boxes.
Let y be the time it takes Elias to fold 210 packing boxes:
[tex] \frac{120}{40} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 120x = 40(210) \\ \\ x = \frac{40(210)}{120} \\ \\ \\ x = 70[/tex]
So, it will take Elias 70 minutes to fold 210 packing boxes.
12 points and brainliest pls and thank you ! (no unknown links or ill report u and ur whole acc)
Answer:
13
cuz one of those square part = to 90 degrease
so 77 degrease is already shown so minus 90-77
and u get 14
Answer:
x = 13°
Step-by-step explanation:
Angles 77° and BGE are vertical and thus equal angles. Angle x and BGE are complementary angles; thus, x + 77° = 90°. Solving this for x, we get:
x = 13°
what is the answer of
reciprocal of 1/7
Answer:
7/1
Step-by-step explanation:
A reciprocal means you flip the numerator and the denominator (the top number and the bottom number) so In this case the reciprocal for 1/7 s 7/1.
Hope I could help!
Trapezoid ABCD has an area of 525 cm squared. If height AB = 21 cm and BC = 37 cm, what is the measure of AD?
Answer:
AD = 13
Step-by-step explanation:
Area of trapezoid ABCD
[tex] = \frac{1}{2} (AB + AD) \times AB \\ \\ 525= \frac{1}{2} (37+ AD) \times21\\ \\ 525 \times 2= (37+ AD) \times21 \\ \\ 1050 = 21 \times 37 + 21AD \\ \\ 1050 = 777+ 21AD \\ \\ 21AD = 1050 - 777 \\ \\ 21AD = 273 \\ \\ AD = \frac{273}{21} \\ \\ AD = 13[/tex]
A cell phone plan charges $19.90 a month, plus $0.05 per text message
Create & solve an inequality that represents the number of texts, t, that can be
sent while still keeping the monthly bill under $25?
Answer:
[tex]19.9+0.05t<25[/tex]
Less than 102 text messages.
Step-by-step explanation:
Monthly charge of cell phone = $19.90
Cost of one text message = $0.05
Let number of text messages be [tex]t[/tex]
The monthly bill should be less than $25. So,
[tex]19.9+0.05t<25[/tex]
The required inequality is [tex]19.9+0.05t<25[/tex]
[tex]19.9+0.05t<25\\\Rightarrow 0.05t<25-19.9\\\Rightarrow t<\dfrac{5.1}{0.05}\\\Rightarrow t<102[/tex]
So, the number of text messages that can be sent while keeping the bill under $25 is less than 102.
HELP PLS!!!
120=x-523?
Answer:
-62760
Step-by-step explanation:
A lab currently has 70 mg of radioactive material that decays at 3.5% per year. Federal regulation for the substance says that the material must be safely stored until it reaches its half-life, at which time the material can be disposed.
How many years will the lab have to safely
store the material before disposal?
Answer:
The lab will have to wait 19.45 yers to safely store the material before disposal.
Step-by-step explanation:
Exponential equation for substance decay:
A exponential equation for the amount of a substance after t years is given by:
[tex]A(t) = A(0)(1-r)^{t}[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Decays at 3.5% per year.
This means that [tex]r = 0.035[/tex]
So
[tex]A(t) = A(0)(1-r)^{t}[/tex]
[tex]A(t) = A(0)(0.965)^{t}[/tex]
How many years will the lab have to safely store the material before disposal?
It needs to reach half-life, that is, t for which A(t) = 0.5A(0). So
[tex]A(t) = A(0)(0.965)^{t}[/tex]
[tex]0.5A(0) = A(0)(0.965)^{t}[/tex]
[tex](0.965)^t = 0.5[/tex]
[tex]\log{(0.965)^t} = \log{0.5}[/tex]
[tex]t\log{0.965} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{0.965}}[/tex]
[tex]t = 19.45[/tex]
The lab will have to wait 19.45 yers to safely store the material before disposal.
Please help I don’t understand this
Paul has a pocket full of 150 coins containing pennies, nickels and dimes. If 24% of his coins are pennies, and 51 of his coins are nickels, how many dimes does he have?
Answer:He has 63 dimes
Step-by-step explanation:
Hope this helps!
24% of 150=36
51+36=87
150-87=63
Select the correct answer. The hiking club is getting new T-shirts and will vote to choose the design. Marianna and Chloe are each designing a T-shirt using a computer program. Marianna’s design features an image of the mountains, with the peaks and valleys modeled by function m, where x is the horizontal distance, in inches, from the left edge of the design. Chloe’s design also features an image of the mountains, with the peaks and valleys modeled by function c, where x is the horizontal distance, in inches, from the left edge of the design. Which T-shirt design has the lowest valley floor over the first 6 inches of the design? Both designs have valley floors at the same height over the first 6 inches of the design. Marianna’s design doesn’t have a valley floor over the first 6 inches of the design. Chloe’s design has the lowest valley floor over the first 6 inches of the design. Marianna’s design has the lowest valley floor over the first 6 inches of the design.
Answer:
Step-by-step explanation:
What are the choices
Answer:
mariannas design has the lowest valley floor over the first 6 inches of the design
Step-by-step explanation:
correct.
Pleasee help with this math problem
how do I solve "k−26.5=99.1"
Answer: =125.6
Step-by-step explanation:
Add 26.5 to both sides of the equation
Simplify
Trang and Anh are dancing in the Dance-a-Thon to raise awareness and money for the Children’s Hospital. Trang donated $22 and earns $212 for every consecutive hour she dances. Anh donated $25 and earns $198 for every consecutive hour she dances. They both danced for the same amount of time and together raised $2,609.50. How much more money did Trang raise than Anh? Justify your answer.
Answer:
1304.75
Step-by-step explanation:
Can someone help me? I’ll reward points + brainalist
Step-by-step explanation:
the question of your answer is d
Answer:
Step-by-step explanation:
What fraction of the catapults flung a marshmallow 30 inches or less?
Answer:
1/4
Step-by-step explanation:
Each whisker represents 1/4 of data
math is so hard:
For which function is the ordered pair (4, 12) not a solution?
1. y = 3 x
2. y = 16 - x
3. y = x + 8
4. y = 8 - x
what’s the answer?
Answer:
4. y = 8 - x is the right answer
Answer:
4. y = 8 - x
Step-by-step explanation:
The question asks for which function is the ordered pair not a solution?
We need to substitute the ordered pair (4, 12) into x and y.
1. 12 = 3(4) (correct)
2. 12 = 16 - 4 (correct)
3. 12 = 4 + 8 (correct)
4. 12 = 8 - 4 (incorrect)
Therefore, the solution to your question is option 4.