Answer:
-3 is the answer of this question
Answer:
(a)-3
Step-by-step explanation:
[tex]5 - 8x = 29 \\ - 8x = 29 - 5 \\ - 8x = 24 \\ x = \frac{24}{ - 8} \\ x = - 3[/tex]
Micah is writing a function that models the height a dolphin reaches when it propels itself from underwater to the surface, leaps through the air, and reenters the water. The model is represented by the equation h=-16t+96t-128, where h is the height in feet above the surface of the water and t is the time in seconds. According to Micha's model, how long will the dolphin be above the surface of the water?
Answer:
The dolphin will be above the surface of the water for 2 seconds.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
The height of the dolphin after t seconds is given by:
[tex]h(t) = -16t^2 + 96t - 128[/tex]
According to Micha's model, how long will the dolphin be above the surface of the water?
It stays above the surface of the water between the first and the second root. Initially, it is below water, when the first time for which [tex]h(t) = 0[/tex] it crosses the surface upwards, and then the second time for which [tex]h(t) = 0[/tex] it crosses the surface downwards.
We have to find these roots. So
[tex]h(t) = -16t^2 + 96t - 128[/tex]
[tex]-16t^2 + 96t - 128 = 0[/tex]
Multiplying by -16
[tex]t^2 - 6t + 8 = 0[/tex]
[tex]\Delta = (-6)^{2} - 4*1*8 = 36 - 32 = 4[/tex]
[tex]t_{1} = \frac{-(-6) + \sqrt{4}}{2} = 4[/tex]
[tex]t_{2} = \frac{-(-6) - \sqrt{4}}{2} = 2[/tex]
4 - 2 = 2
The dolphin will be above the surface of the water for 2 seconds.
HELLLLP ! What is the area of the triangle below?
4
18
A. 72 sq. units
B. 16 sq. units
C. 36 sq. units
D. 32 sq. units
HELP !!!
in 1980, wind turbines in Europe generated about 5 gigawatt-hours of energy. Over the next 15 years, the amount of energy increase by about 59% per year.
NOT A MULTIPLE CHOICE
1a. Write a model giving the amount E of energy t years after 1980.
1b. Use your model determine how much wind energy was generated in 1984.
1c. Determine the year when 80 gigawatt-hours of energy were generated.
9514 1404 393
Answer:
1a. E = 5×1.59^t
1b. 32 GWh
1c. 1986
Step-by-step explanation:
1a. An exponential model looks like
f(t) = a·b^t
where 'a' is the value when t=0, and 'b' is the growth factor in the time period associated with t.
Here, 'a' is 5 (GWh), and 'b' is 1+59% = 1.59. Then the desired model is ...
E = 5·1.59^t . . . . . where t is years after 1980, and E is in GWh.
__
1b. For t=4, we have ...
E = 5·1.59^4 ≈ 31.96 ≈ 32
About 32 GWh was generated in 1984.
__
1c. The value of t for a given value of E is ...
E/5 = 1.59^t . . . . divide by 5
log(E/5) = t·log(1.59) . . . . take logarithms
t = log(E/5)/log(1.59) . . . . divide by the coefficient of t
For E = 80, the years after 1980 are ...
t = log(80/5)/log(1.59) ≈ 5.98
About 80 GWh were generated in 1986.
use factoring to solve quadratic equation. Check by substitution or by a graphing utility.
4x^2=19x+30
Which of the following equations represents a linear function?
Answer:
B
Step-by-step explanation:
I chose the answer B because there is no there should be no exponents to make the answer linear
Answer:
B because Linear equation doesnt have an exponent
Pls HELP!!! Answer accurately... this should be very easy,
Answer:
85
Step-by-step explanation:
He has 170 correct answers, so 170 * 0.5 = 85 points #0.5 points per 1 question
Given: g(x)=−2x^2+x+3 find: g(3)
y is directly proportional to x. When x = 6, y = 9
Find x when y = 15
Answer: x = 16
Step-by-step explanation:
Solve the following:
FOR GOD SAKE NO BOTS NO TROLLS NO PEOPLE WANTING POINTS! PLEASE I NEED HELP FOR THIS!
Answer:
i got 21/1
Step-by-step explanation:
Joan is trying to get through all 275 episodes of Cheers on DVD. She's already watched 83, and she figures she can get through 4 episodes per day if she really focuses. How many days will it take her to finish the series?
A) 48 days
B) 192 days
C) 50 days
D) 68.75 days
Answer: (a)-48 days
Step-by-step explanation:
Given
Joan is watching 275 episodes of Cheers and already watched 83
She can watch 4 episodes per day
Remaining episode 275-83=192
No of days required to finish Cheers
[tex]\Rightarrow n=\dfrac{192}{4}=48\ \text{days}[/tex]
Jamal's car averages 18.4 miles per gallon. How far can he expect to drive on 9.2 gallons of gas?
Answer:
169.28
Step-by-step explanation:
18.4x9.2=169.28
Solve for the following by
FACTORING:
x2 + 15x + 56 = 0
Answer:
17x + 56 = 0
Step-by-step explanation:
add 2x and 15x
HELP With this question
Answer:
Step-by-step explanation:
sin 60=CB/18
[tex]\frac{\sqrt{3} }{2} =\frac{CB}{18} \\CB=9\sqrt{3}[/tex]
A trade school would like to measure the long-term success of their graduates after they leave the school. The school emais a survey requesting information from graduates about their work experience. One question asks graduates to share their annual salary, and the results of the question will be shared in a brochure for incoming
students. Is it likely that the survey results will provide an accurate estimate of mean annual salary for all of the
school's graduates?
The survey will provide a reasonable estimate of mean annual salary because all graduates were sent the email
survey
The survey will likely overestimate mean annual salary because those with higher salanes may be more likely to respond to the survey
The survey will likely underestimate mean annual salary because there may be more graduates with lower
salanes than higher salaries
The survey will likely overestimate the mean annual salary because the email was only sent to graduates with jobs in their chosen feld
Answer: The survey will likely overestimate mean annual salary because those with higher salanes may be more likely to respond to the survey.
Step-by-step explanation:
We should note that this is voluntary response because despite the fact that the email was sent to the students, a graduate can decide to be part of the sample or not.
In this case, those that have higher salaries will be more likely to respond to their emails than those that have lower salaries. Therefore, the survey will likely overestimate mean annual salary.
Arrange in ascending order. 0.06,0.03,1,0.76,0.2
Answer:
0.03, 0.06, 0.2, 0.76, 1
Step-by-step explanation:
solve the system by substitution....
Answer: 2,16
Step-by-step explanation:
geometry thats finding x y and z of a triangle but my dum self doesn't know this so plz help
Answer:
[tex]x = \frac{48}{\sqrt{3}}[/tex]
[tex]y = \frac{24}{\sqrt{3} }[/tex]
[tex]z = 24[/tex]
Step-by-step explanation:
___________________________________________________________
FACTS TO KNOW BEFORE SOLVING :-
For a triangle with one of it's acute angle α (alpha) , the value of :-
[tex]\sin \alpha = \frac{Side \: opposite \: to \: \alpha }{Hypotenuse}[/tex][tex]\cos \alpha = \frac{Side \: adjacent \: to \: \alpha}{Hypotenuse}[/tex]___________________________________________________________
In the question , first of all lets find the value of z. So,
[tex]\cos 45 = \frac{z}{24\sqrt{2}}[/tex]
[tex]=> \frac{1}{\sqrt{2}} = \frac{z}{24\sqrt{2}}[/tex]
[tex]=> z = \frac{24\sqrt{2}}{\sqrt{2}} = 24[/tex]
Length of the altitude perpendicular to side (z + y) = [tex]\sqrt{(24\sqrt{2})^2 - 24^2} = 24[/tex]
Now , lets find the value x. So,
[tex]\sin 60 = \frac{24}{x}[/tex]
[tex]=> \frac{\sqrt{3}}{2} = \frac{24}{x}[/tex]
[tex]=> x = \frac{48}{\sqrt{3}}[/tex]
Also ,
[tex]\cos 60 = \frac{y}{x}[/tex]
[tex]=> \frac{1}{2} =\frac{y}{\frac{48}{\sqrt{3}}}[/tex]
[tex]=> y = \frac{48}{2\sqrt{3}} = \frac{24}{\sqrt{3}}[/tex]
There are 1125 members in a mountaineering club. The club's secretary surveys 72 randomly
selected members and finds that 63 members are in favor of holding a used gear sale.
a.
Describe the population and the sample
b. What percent of the members in the ample are in favor of holding a used-gear sale?
С.
Estimate the number of club members who would be in favor of holding a used-gear sale.
Answer:
hmmm
Step-by-step explanation:
not sure man
In the polyhedron above x=5 m and y==20 m. The volume of the polyhedron is _____ m3. Round your answer to the tenths place.
Answer:
523.6 m³
Step-by-step explanation:
The polyhedron is an oblique cone
Volume of oblique cone = ⅓πr²h
r = x = 5 m
h = y = 20 m
Volume = ⅓*π*5²*20
Volume = ⅓*π*25*20
Volume = 523.598777 ≈ 523.6 m³ (nearest tenth)
Someone please help I need this ASAP
Answer:
Composite area is 400+157=557
or 400 + 50pi
Step-by-step explanation:
First find the area of the square
A=s*s A= 20*20
Area of the square portion is 400
then find the area of the semicircle- we know the diameter of the circle is 20, so the radius is 10.
[tex]A=\frac{1}{2} \pi r^{2}[/tex]
so
[tex]A=\frac{1}{2} \pi 10^{2} \\A=\frac{1}{2}\pi 100\\A=50\pi \\A= 157[/tex]
Composite area is 400+157=557
or 400 + 50pi
What is the solution set of 3x-4)=20 ?
Answer:
3x - 4 = 20
3x = 20 + 4
3x = 24
x = 24/3
x = 8
Answer:
[tex]3x - 4 = 20 \\3x = 20 + 4 \\ 3x = 24 \\ 3x \div 3 = x \\ 24 \ \div 3 = 8 \\ x = 8 [/tex]
GR5_Math_U14_FSQ_FY21
Please solve the question in the photo.
Answer:
2x^3 +7x^2+3x-2
Step-by-step explanation:
3x^3 +7x^2 -x
- ( x^3 -4x +2)
------------------------
The first step is to line up the variables by degree
3x^3 +7x^2 -x
- ( x^3 -4x +2)
----------------------------
Then distribute the minus sign
3x^3 +7x^2 -x
- x^3 +4x -2
----------------------------
2x^3 +7x^2+3x-2
Can someone explain step by step how to do this?
Answer: use the app photomath. its free. you take a picture and it will show you all the steps in depth
Step-by-step explanation:
Answer:
5) 10³: So you do 10* 10*10= 1,000
so 10³= 1,000
All you are doing is takeing the number and multiplying itself to the power.
6) (-7)⁴= so you are taking the -7 in parenthesis and making it positive, then you are taking the positive 7 and doing 7⁴. Once you do that you get positive 2401.
8) 3+6* (-5) to the second (i dont have the symbol) so you are going to do PEMDAS: Parenthesis, Expression, Multipulcation, Divison, Addition and Subtraction. so it would be 5+6*25to the second. So you do multipulcation first, so do 6*25=150. Then do addition and do 150+3=153
Step-by-step explanation:
5) 10³= 1,000
6)(-7)⁴= 7⁴= 2401
8)3+6* (-5) to the second= 3+6* (5) to the second= 3+6* 25= 6*25= 150+3= 153
Answer to 8 is= 153
I hoped this helped you :D
Can someone help me pls
Answer:
Step-by-step explanation:
Repost with picture and I can help you
sorry I cant answer your question if all you write " is help me pls"
Find the area of the regular polygon
Answer:
!
Step-by-step explanation:
here it is!!!!!!!!!!!!!!!
So these three sides form a right triangle?
7, 24, 25
Please Answer!!
Drag each tile to the table to multiply
(6x – y)(2x – y + 2).
fill the table
2x -y 2
6x 12^2 -6xy 12x
-y -2xy y^2 -2y
What is the solution set of 6x2 - 24 = 0?
a. {2}
b. {-2)
c. {-2, 2}
Answer:
c.{-2,2}
Step-by-step explanation:
6
x
2
−
24
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
6
,
b
=
0
, and
c
=
−
24
into the quadratic formula and solve for
x
.
0
±
√
0
2
−
4
⋅
(
6
⋅
−
24
)
2
⋅
6
Simplify.
x
=
±
2
The final answer is the combination of both solutions.
x
=
2
,
−
2
In a study of speed dating, male subjects were asked to rate the attractiveness of their female dates, and a sample of the results is listed below (1 = not attractive; 10 = extremely attractive). Construct a confidence interval using a 95% confidence level. What do the results tell about the mean attractiveness ratings of the population of all adult females? 5, 8, 2, 8, 7, 6, 6, 8, 9, 9, 6, 9 What is the confidence interval for the population mean μ? <μ
Answer:
Confidence Interval = ( 5.6 < μ < 8.2 )
The interval shows that the mean attractiveness is Above average on a scale of 1 to 10
Step-by-step explanation:
Data Given : 5, 8, 2, 8, 7, 6, 6, 8, 9, 9, 6, 9
a) construct a confidence interval at a 95% confidence level
confidence interval = x ± tcritical ( s / √ n ) ------ ( 1 )
n = 12
μ (mean) = ( 5+8+2+8+7+6+6+8+9+9+6+9 ) / 12 ≈ 6.92
std ( s ) = √ 1/11 *∑( xi- X )^2
= √ 1/11 * ( 5 - 6.92)^2 + ( 8 - 6.92)^2 + ( 2 - 6.92)^2 + ( 8 - 6.92)^2 + ( 7-6.92)^2 + ( 6 - 6.92)^2 + (6 - 6.92 )^2 + ( 8 - 6.92 )^2 + ( 9 - 6.92)^2 + ( 9 - 6.92)^2 + ( 6 - 6.92 )^2 + ( 9 - 6.92 )^2
= √ 1/11 * 46.92 = 2.07
tcritical at ∝ 0.05 , df = 11 = 2.20
Back to equation 1
6.92 ± 2.2 ( 2.07 / √ 12 )
( 6.92 ± 1.31 )
Confidence Interval = ( 5.6 < μ < 8.2 )
