Step-by-step explanation:
1) x³+3x²-4x-12=x²(x+3)-4(x+3)=(x²-4)(x+3)=(x-2)(x+2)(x+3).
2) zeros of the given functions are: -3; -2; 2.
Estimate the solution of the equation to the nearest integer, z² = 85.
A. 7
B. 8
C. 9
D. 10
Find the area of the figure below
Step-by-step explanation:
(3×6) + (2×6)
= 18 + 12
= 30 in²
Pls help, will give brainliest.
Answer:
x = 3
y = 4
Step-by-step explanation:
You need to get ridof the 2y so add the equations together:
3x - 2y = 1
*add
2x + 2y = 14
5x + 0 = 15
5x = 15
*divide by 5
x = 3
Now that we have x we can find y by substituting
2(3) + 2y = 14
6 + 2y = 14
* subtract 6
2y = 8
*divide by 2
y = 4
Hope this helps :)
It takes Colton 14 minutes to decorate 4 cookies. It takes
David 20 minutes to decorate 6 cookies. Who decorates
at a faster rate? Explain how you know
Answer:
David decorated the cookies at a faster rate than Colton.
Step-by-step explanation:
David decorated one cookie every 3 and 1/3 minutes. Colton decorated one cookie every 3.5 minutes. The way to find the answer to your question is by dividing the number of minutes by the number of cookies decorated.
Refer to the figure to answer the following.
5
F
m 2 BFG = (0.5)(mCD + mGB)
True False
Please help
Answer:
True
Step-by-step explanation:
∠BFG is an interior angle, then:
m∠BFG=[m arc(GB) + m arc(CD)] / 2
or in other words
m∠BFG = (0.5)(m arc CD + m arc GB)
Answer:
TRUEEEEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
(HELP ASAP)
Find the area of the composite figure.
A)
27 km2
B)
36 km2
C)
45 km2
D)
54 km2
Answer:
45 km^2 (C)
Step-by-step explanation:
Isolate the smaller square -
We only need two side lengths, take 3km and 3km.
3×3 = 9km^2, that's the area of the smaller square.
Isolate the larger square -
Take 6km and the other 6km
6×6 = 36km^2
Add the square's areas together to get the whole area -
36 + 9 = 45km^2
All you need to do to solve these problems is to isolate the shapes and find their area's, and finally add them together.
sound travels about 340m/s the function d(t)=340t gives the distance d(t) in meters that sound travel in t seconds how far does it travel in 37 s
Allen added 16 and 15 for a sum of 1330. Is Allen correct? Explain.
A sample of 80 high school senlors, 45% of which are female, were surveyed as to whether or not they are employed
outside of school. 25% of the boys surveyed sald they are not employed. How many boys are employed?
Answer:
33 boys
Step-by-step explanation:
Since 45% of the participants were female and there were a total of 80 students, 36 of the 80 students were female. That means that 44 of the students were male.
25% of 44 is 11. So there are 11 boys that are not employed. From there you can just subtract 44 - 11 and get 33.
33 boys are employed
Answer:
33 students
Step-by-step explanation:
Let's take this step-by-step. First, we know that the sample includes a total number of 80 high school students, and 45% of them are female.
This means that 55% of them are male students, which is required to answer the question. 80 × 0.55 = 44 male students.
Next, 25% of the male students are not employed. This means that 75% of the male students are employed. So, 44 × 0.75 = 33 male students.
simplify (2sq root 5-4) (3sq root 5-2)
Answer:
2√5-4(3√5-2)
6√25-4√5-12√5+8
6(5)-16√5+8
30+8-16√5
38-16√5
Andrea spent 5/9 of her money buying a guitar if she had €296 left how much had she had first
Answer:
kkk
Step-by-step explanation:
The pottery class has 16 pounds
of clay. Each student got 1/2 of a
pound of clay to make a plate.
How many plates did the
students make?
Answer:
32 plates
Step-by-step explanation:
If the pottery class has 16 pounds of clay and each student got 1/2 of a pound;
then;
1 plate = 1/2 pounds
xplate = 16pounds
Divide both expressions
1/x = 1/2÷16
1/x = 1/2*!6
1/x = 1/32
x = 32
Hence the student will make 32 plates
What is the union of {9, 10, 11} and {9, 11, 13}?
The 2 {} you have are called sets. The union is what the 2 sets have in all.
You can think of this as you have green blue yellow cards. and your friend have green orange red cards. What colors do you have if you combine your cards.
Now that's just an example, in the question's case is what numbers does the 2 sets have in total.
Therefore the union of these 2 sets are {9,10,11,13}
Hope it helps!
Kona wants to bake at most 30 loaves of banana bread and nut bread for a bake sale. Each loaf of banana bread sells for $2.50, and each loaf of nut bread sells for $2.75. Kona wants to make at least $44. Which system of inequalities models the situation
Answer:
The system of inequalities that models the situation is
Step-by-step explanation:
Given:
Total number of banana bread and nut bread must be atmost 30
Cost of one banana bread = $2.50
Cost of one nut bread = $2.75
Kona wants to make at least $44
To Find:
The system of inequalities models the situation
Solution:
Let the number of banana bread loaves be x
Let the number of nut bread loaves be y
Then kona wants to make at most 3 loaves of bread,
So...
Then By selling one banana bread to $2.50, and each loaf of nut bread sells for $2.75,Kona wants to make at least $44. TvT hope this helps
a pair of awesome skinny jeans cost $25 but it is on sale for 25% off. score if tax is 8% what is the total cost
Answer:
The answer would be 20.25 i think!
Step-by-step explanation:
Graph. Identify the solution:
1) x + y = 2
X-y=4
Answer:
X=3 y=-1
Step-by-step explanation:
X+y=2
X-y=4
so that means
y=X-4
substitute it in
X+X-4=2
2x-4=2
2x=2+4
2x=6
x=3
3+y=2
3+-1=2
y=-1
ways to check
3--1=4
double minus equal plus
3+1=4
A labor dispute has arisen concerning the distribution of 20 laborers to four different construction jobs. The first job is considered to be very undesirable and requires 6 laborers. The second, third and fourth jobs require 4, 5 and 5 laborers, respectively. The dispute arose over an alleged random distribution of the laborers to the jobs that placed all 4 members of a particular ethnic group on job 1. In considering whether the assignment represented injustice, a mediation panel desired the probability of the observed event. Determine the number of sample points in the sample space S for this experiment. That is determine the number of ways the 20 laborers can be divided into groups of the appropriate sizes to fill all of the jobs. Find the probability of the observed event if it is assumed that the laborers are randomly assigned to jobs.
Answer:
The answer is "0.30%"
Step-by-step explanation:
To assign employees to work, we have to select 6 out of 20 to do work, instead select 4 out of another 14 jobs, 2 to do, and 5 out of another 10 works 3. The other five were going to go do work four. They may decide how often ways of making each of these options. Their service would be how many forms to allocate those four positions to staff. The random sample is from the height.
There are equally estimated that numbers of arrangements with both the four in Job 1.They then allocate all four to work 1. In this situation We must then select 2 out from the 16 existing spaces in job 1, 4 out from the 14 remaining spaces in job 2, 5 out of the 10 existing spaces in job 3 as well as the ones remaining in job 4.
The possibility of any four being at 1 is that they've been all divided by the overall amount of circumstances in 1 task.
[tex]\to \frac{[ \frac{16!}{(2!4!5!5!)}]}{[\frac{20!}{(6!4!5!5!)}]}\\\\\to [ \frac{16!}{(2!4!5!5!)}] \times [\frac{(6!4!5!5!)}{20!}]\\\\\to [ \frac{16!}{(2!)}] \times [\frac{(6!)}{20!}]\\\\\to [ \frac{16!}{(2!)}] \times [\frac{(6\times 5 \times 4 \times 3 \times 2!)}{20!}]\\\\\to 16! \times [\frac{(360)}{20 \times 19 \times 18 \times 17 \times 16!}]\\\\\to \frac{(360)}{20 \times 19 \times 18 \times 17 }\\\\\to \frac{(360)}{20 \times 19 \times 18 \times 17 }\\\\\to \frac{360}{116,280}[/tex]
[tex]\to 0.00309597523 \approx 0.30 \%[/tex]
(2x + 12.8) what is the value of x
Answer:
2/5 *(5x+32)
Step-by-step explanation:
A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, the fuel is consumed at rate r, and the exhaust gases are ejected with constant velocity ve (relative to the rocket). A model for the velocity of the rocket at time t is given by the equation
v(t)=−gt−velnm−rt/m
where g is the acceleration due to gravity and t is not too large. If g=9.8 m/s^2, m = 30000 kg, r = 160 kg/s, and ve = 3000 m/s, find the height of the rocket one minute after liftoff.
This question is incomplete, the complete question is;
A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, the fuel consumed at rate r, and the exhaust gases are ejected with constant velocity v(sub e) [relative to the rocket]. A model for the velocity of the rocket at time t is given by the equation:
v(t) = -gt - v(sub e) ln [(m-rt)/m]
where g is the acceleration due to gravity, and t is not too large. If g = 9.8 m/s^2, m = 30,000 kg, r = 160 kg/s, and v(sub e)= 3000 m/s, find the height of the rocket one minute after liftoff.
Answer:
the height of the rocket one minute after liftoff is 14.8441 km
Step-by-step explanation:
Given the data in the question;
Velocity of the rocket at time t is;
v(t) = -gt - [tex]V_{e\\}[/tex] ln( [tex]\frac{m-rt}{m}[/tex])
[tex]\int\limits^t_0 {v(t)} \, dt[/tex] = ₀∫⁶⁰( -gt - [tex]V_{e\\}[/tex] ln( [tex]\frac{m-rt}{m}[/tex]) )dt
= -g([tex][\frac{t^{2} }{2}]^{60}_0[/tex] - [tex]V_{e\\}[/tex] ₀∫⁶⁰In( [tex]\frac{m-rt}{m}[/tex]) dt
= -g([tex][\frac{t^{2} }{2}]^{60}_0[/tex] - [tex]V_{e\\}[/tex] [ t In( [tex]\frac{m-rt}{m}[/tex]) + [tex]\frac{m}{r}[/tex] - t - mr[tex]\frac{1}{r^{2} }[/tex] In |m-rt| [tex]]^{60}_0[/tex]
= -g([tex][\frac{60^{2} }{2}][/tex] - [tex]V_{e\\}[/tex] [ 60 (In(1 - [tex]\frac{60r}{m}[/tex])-1) + [tex]\frac{m(In(m^{2})-In((m-60r)^2))) }{2r}[/tex] ]
we input our given values; g=9.8 m/s², m=30000 kg, Ve = 3000 m/s, r = 160 kg)
= -9.8([tex][\frac{60^{2} }{2}][/tex] - 3000 [ 60 (In(1 - [tex]\frac{60(160)}{m}[/tex])-1) + [tex]\frac{30,000(In(30,000^{2})-In((30,000-60(160))^2))) }{2(160)}[/tex] ]
[tex]\int\limits^t_0 {v(t)} \, dt[/tex] = 14844.10 m
we convert to kilometer
[tex]\int\limits^t_0 {v(t)} \, dt[/tex] = 14844.10 ÷ 1000
[tex]\int\limits^t_0 {v(t)} \, dt[/tex] = 14.8441 km
Therefore, the height of the rocket one minute after liftoff is 14.8441 km
Someone help me with this.
Answer:
2x² + 13x + 15
Step-by-step explanation:
| 2x | 3
x | 2x*x = 2x² | 3*x = 3x
5 | 2x*5 = 10x | 3*5 = 15
We have, 2x² + 3x + 10x + 15
Combining like terms, we would have the final expression as:
2x² + 13x + 15
Forma de distribución del resultado obtenido por los componentes de una sociedad tomando en cuenta dos factores que intervienen, el capital y el tiempo
a) reparto proporcional
b) regla de compañía
c) prorrateo
Help ASAP please!
The question is attached
Answer:Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?
Find the total of a
$60 meal with 15%
tip and 8% tax.
Answer: $73.8 15% of 60 is 9 and 8% of 60 is4.8 then if you add them all together you get 73.8$
Step-by-step explanation:
Answer:
$73.8
Step-by-step explanation:
(15+8)= 23 -> .23 = .23 times 60 = $73.8
pls help me math its due today
Answer:
For multiplication you added the exponents and for division you minus the exponents
Answer:
kdkdjdduidddsisiodiod
a) Let f(x) = 4x + 2 and g(x) = 2x^2-4. Find the formula for the composition function gof
(4Marks)
Answer:
g o f = [tex]g(f(x)) = 32x^2 + 32x + 4[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4x +2[/tex]
[tex]g(x) =2x^2 - 4[/tex]
Required:
Find g o f
This is calculated as:
[tex]gof = g(f(x))[/tex]
[tex]g(x) =2x^2 - 4[/tex]
So:
[tex]g(f(x)) = 2(4x+2)^2 - 4[/tex]
[tex]g(f(x)) = 2(4x+2)(4x+2) - 4[/tex]
[tex]g(f(x)) = 2[ 16x^2 + 16x + 4)] - 4[/tex]
[tex]g(f(x)) = 32x^2 + 32x + 8 - 4[/tex]
[tex]g(f(x)) = 32x^2 + 32x + 4[/tex]
ASAP!! Find the length of side x in simplest form with a rational denominator
Answer:
[tex]x=\sqrt{14}[/tex]
Step-by-step explanation:
This triangle is a 45-45-90 triangle.
By using the image I posted, we can find x easily.
So, we have [tex]\sqrt{7}[/tex] as one of the sides.
They hypotenuse, which is x is just [tex]\sqrt{7} \sqrt{2}[/tex]
Simplify and we get x = [tex]\sqrt{14}[/tex]
Help
Don’t use for points and also be clear or I will take the points back
Answer:
x=47°
Step-by-step explanation:
..,........................
Answer:
I believe it is 47.
Step-by-step explanation: The reason why is because for a right angle it must be 90 degrees So, the way I solved this was getting 90-43 I got the 43 from BCD. then subtracted it and applied it to the other side, keep in mind I am only a freshman and it might be wrong super tiny chance but it might.
Tony needs one gallon of orange juice to make punch for a party. Gallons of orange juice cost $3.99 each. Quarts of orange juice cost $1.25 each. Pints of orange juice cost $0.65 each. Cups of orange juice cost $0.20 each. Which of these is the best buy for a gallon?
Answer:
Cups at $3.20
Step-by-step explanation:
Gallon - $3.99
Quarts - $5,00
Pints - $5.20
Cups - $3.20
can someone help :(!
Here is part of a train timetable.
0718
0725
0728
Brighton
London
0900
0832
0848
Work out how long it will take the 07 18 train to get to London
Give your answer in hours and minutes.
hr(s) min(s)
Answer:
1 hour 42 minutes
Step-by-step explanation:
Given :
Time table :
BRIGHTON _____ LONDON
0718 __________ 0900
0725 __________0832
0728 __________ 0848
Tine taken by the 0718 train :
Arrival time, London - Departure time
09:00 - 07:18
2 hours (60 - 18) minutes
