Answer:
[tex]a \: = \: pe ^{rt} [/tex]
[tex]a = 600e^{(.08)(3)} [/tex]
[tex]a = 762.75 \: dollars[/tex]
Since the question stated that the interest is compounded continuously, we know that Euler number is required
This morning, Justin's car had 28.03 gallons of fuel. Now, 1.1 gallons are left. How much fuel did Justin use?
Answer:
26.93 gallons were used
Step-by-step explanation:
Subtract the amount left from the amount started with
28.03
- 1.1
----------------
26.93 gallons were used
- 4 = -17 + x
- 4 = - 17 + x
Answer:
x = 13
Step-by-step explanation:
- 4 = -17 + x
Add 17 to each side
- 4+17 = -17+17 + x
13 =x
Answer:
-4+17=x
13=x
you substitute and then solve for the answer
PLEASE help me solve this question! No nonsense answers, and attach full solutions please!
Answer:
6.4 seconds
Step-by-step explanation:
Using the second equation of motion.
d= 200m/s.
a= 9.8ms^-1 . Acceleration due to gravity.
t= time.
substituting,
t=
[tex] \sqrt{2 \times \frac{200}{9.8} } [/tex]
t= 6.4 seconds
5 - (4 - 3x) = 10
how would u distubute in this problem
Answer:
x = 3
Step-by-step explanation:
Given
5 - (4 - 3x) = 10 ← distribute the terms in the parenthesis by - 1
5 - 4 + 3x = 10, that is
1 + 3x = 10 ( subtract 1 from both sides )
3x = 9 ( divide both sides by 3 )
x = 3
A prisoner is trapped in a cell containing 3 doors. The first door leads to a tunnelthat returns him to his cell after 2 days’ travel. The second leads to a tunnel thatreturns him to his cell after 4 day’s travel. The third door leads to freedom after 1day of travel. If it is assumed that the prisoner will always select doors 1,2,and 3with respective probabilities 0.5,0.3, and 0.2, what is the expected number of daysuntil the prisoner reaches freedom?
Answer:
2 days
Step-by-step explanation:
Expected number of days until prisoner reaches freedom=E(x)=?
E(x)=x*p(x)
Where x is the number of days and p(x) is the probability associated with them.
X 1 2 3
P(x) 0.5 0.3 0.2
E(x)=1*0.5+2*0.3+3*0.2
E(x)=0.5+0.6+0.6
E(x)=1.7.
Thus, the expected number of days until prisoner reaches freedom are 2 days.
Solve for h. 3/7=h/14-2/7
Answer:
h = 10
Step-by-step explanation:
Given
[tex]\frac{3}{7}[/tex] = [tex]\frac{h}{14}[/tex] - [tex]\frac{2}{7}[/tex]
Multiply through by 14 to clear the fractions
6 = h - 4 ( add 4 to both sides )
10 = h
Answer:
10
Step-by-step explanation:
We start out with 3/7 = h/14 - 2/7
add 2/7 to both sides:
(5/7) = h/14
Multiply both sides by 14 to get rid of the fraction:
h = 10
I need 51-55 Thanks You :D no
Answer:
Below
Step-by-step explanation:
All figures are squares. The area of a square is the side times itself
Let A be the area of the big square and A' the area of the small one in all the 5 exercices
51)
● (a) = A - A'
A = c^2 and A' = d^2
● (a) = c^2 - d^2
We can express this expression as a product.
● (b) = (c-d) (c+d)
■■■■■■■■■■■■■■■■■■■■■■■■■■
52)
● (a) = A-A'
A = (2x)^2 = 4x^2 and A'= y^2
● (a) = 4x^2 - y^2
● (b) = (2x-y) ( 2x+y)
■■■■■■■■■■■■■■■■■■■■■■■■■■
53)
● (a) = A-A'
A = x^2 and A' = y^2
● (a) = x^2-y^2
● (b) = (x+y) (x-y)
■■■■■■■■■■■■■■■■■■■■■■■■■■
54)
● (a) = A-A'
A = (5a)^2 = 25a^2 and A' =(2b)^2= 4b^2
● (a) = 25a^2 - 4b^2
● (a) = (5a-2b) (5a+2b)
■■■■■■■■■■■■■■■■■■■■■■■■■■
55)
● (a) = A - 4A'
A = (3x)^2 = 9x^2 and A'= (2y)^2 = 4y^2
● (a) = 9x^2 - 4 × 4y^2
● (a) = 9x^2 - 16y^2
● (a) = (3x - 4y) (3x + 4y)
what is the answer for 6x-4=-26+5x
Answer: x=-22
Step-by-step explanation:
6x-4=-26+5x
6x-4-5x=-26+5x-5x ⇔ subtraction property of equality
x-4=-26
x-4+4=-26+4 ⇔ addition property of equality
x=-22
Answer:
x = - 22Step-by-step explanation:
6x - 4 = - 26 + 5x
First of all group like terms
Send the constants to the right side of the equation and those with variables to the left
That's
6x - 5x = 4 - 26
Simplify
We have the final answer as
x = - 22Hope this helps you
Find the value of x in the isosceles triangle shown below.
Answer:
x = 6
Step-by-step explanation:
The isosceles triangle is divided into two forming two right triangles
in right triangles the square value of hypotenuse is equal to sum of other two side lengths
x^2 + 4^2 = 52
x^2 + 16 = 52 subtract 16 from both sides
x^2 = 36 find the root for both sides
x = 6
perform the indicated operations. express the answer as a polynomial written in standard form.
(2x+5y)^2
Answer:
Step-by-step explanation:
Find an equation of the line through the given points right the final answer in intercept form
Answer:
got it
Step-by-step explanation:
Solve using quadratic formula.
1.)5x^2+13x=6
2.)3x^2+1=-5x
PLEASE HELP!!! WILL MARK BRAINLIEST!!!
Answer:
1. 2/5,-3 2. [tex]x=\frac{-5+-\sqrt{13} }{6}[/tex]
Step-by-step explanation:
i used the quadratic formula to find x also please note that 2 has 2 answers bc of the +- beofre the sqrt of 13
Step-by-step explanation:
1).5x² + 13x - 6 = 0
Using the quadratic formula
[tex]x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
a = 5 , b = 13 c = - 6
We have
[tex]x = \frac{ - 13± \sqrt{ {13}^{2} - 4(5)( - 6) } }{2(5)} [/tex]
[tex]x = \frac{ - 13± \sqrt{169 + 120} }{10} [/tex]
[tex]x = \frac{ - 13± \sqrt{289} }{10} [/tex]
[tex]x = \frac{ - 13±17}{10} [/tex]
[tex]x = \frac{ - 13 + 17}{10} \: \: \: \: \: or \: \: \: \: x = \frac{ - 13 - 17}{10} [/tex]
x = 2/5 or x = - 32).3x² + 5x + 1 = 0
a = 3 , b = 5 , c = 1
[tex]x = \frac{ -5 ± \sqrt{ {5}^{2} - 4(3)(1)} }{2(3)} [/tex]
[tex]x = \frac{ - 5± \sqrt{25 - 12} }{6} [/tex]
[tex]x = \frac{ - 5± \sqrt{13} }{6} [/tex]
[tex]x = \frac{ - 5 + \sqrt{13} }{6} \: \: \: \: or \: \: \: x = \frac{ - 5 - \sqrt{13} }{6} [/tex]
Hope this helps you
Find the following ratios. PLEASE HELP QUICK!!
Answer:
sin(A) = 5/13 ≈ 0.38
cos(B) = 5/13 ≈ 0.38
tan(A) = 5/12 ≈ 0.42
Step-by-step explanation:
If you need more explanations just say it :)
Answer:
I hope your dreams come true! Beileve in your self! and do ur best <3
Evaluate the function,
f (x) = 5 - 4x for f(-2)
Answer:
f(-2)=13
Step-by-step explanation:
We are given the function:
f(x)= 5-4x
and asked to evaluate f(-2). We want to find what f(x) is when x is equal to -2.
We must substitute -2 in for each x.
f(-2)= 5 - 4(-2)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
First, multiply 4 and -2.
⇒ 4 * -2 = -8
f(-2) = 5 - -8
Two negative signs in a row become a positive sign.
f(-2)= 5+8
Finally, add 5 and 8.
f(-2)= 13
The function f(x)= 5-4x evaluated for f(-2) is 13.
What roles did militias play in the American Revolution? Your answer:
Hey there! I'm happy to help!
A militia is a local army. During the Battle of Lexington and Concord, the local militia (called minutemen), the militia outnumbered the British at Concord and chased them all the way back to Boston. The militia aided in many American victories during the Revolutionary War.
I hope that this helps! Have a wonderful day! :D
Astrid is in charge of building a new fleet of ships. Each ship requires 40 4040 tons of wood, and accommodates 300 300300 sailors. She receives a delivery of 4 44 tons of wood each day. The deliveries can continue for 100 100100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 2100 21002100 sailors.
Answer:
10 ships
Step-by-step explanation:
did it on Khan and
There can be many ways to solve this problem. Here, we will do this by thinking about units.
Let's say that Astrid can build
x
ships
xshipsx, start text, s, h, i, p, s, end text if she receives deliveries of wood for the maximum possible number of days, which is
100
days
100days100, start text, d, a, y, s, end text. How can we relate these two quantities with an equation?
100
days
⋅
y
ships
day
=
x
ships
100days⋅y
day
ships
=xships
So in order to find the number of ships
x
xx, we need to figure out the value of
y
yy, which is the rate of ships per day.
Hint #22 / 4
Notice what other information we are given:
40
tons
ship
40
ship
tons
40, start fraction, start text, t, o, n, s, end text, divided by, start text, s, h, i, p, end text, end fraction
300
sailors
ship
300
ship
sailors
300, start fraction, start text, s, a, i, l, o, r, s, end text, divided by, start text, s, h, i, p, end text, end fraction
4
tons
day
4
day
tons
4, start fraction, start text, t, o, n, s, end text, divided by, start text, d, a, y, end text, end fraction
2100
sailors
2100sailors2100, start text, s, a, i, l, o, r, s, end text
Which of these quantities can help us calculate a rate whose units are
ships
day
day
ships
start fraction, start text, s, h, i, p, s, end text, divided by, start text, d, a, y, end text, end fraction?
Hint #33 / 4
We can combine the following quantities:
4
tons
day
40
tons
ship
=
4
40
tons
day
⋅
ships
ton
=
0.1
ships
day
=
40
ship
tons
4
day
tons
=
40
4
day
tons
⋅
ton
ships
=0.1
day
ships
Now we can plug that in the original equation:
100
days
⋅
0.1
ships
day
=
x
ships
10
ships
=
x
ships
100days⋅0.1
day
ships
10ships
=xships
=xships
Hint #44 / 4
In conclusion, assuming Astrid receives the maximum possible amount of wood, she can build
10
1010 ships.
need help will give you a good rating
Explanation : As you can see, [tex]\sqrt{-16}[/tex] is not a real number, and hence should be expressed as 4[tex]i[/tex], [tex]i[/tex] being an imaginary number. Respectively [tex]\sqrt{-64}[/tex] will be 8[tex]i[/tex]. Therefore this expression boils down to [tex]\left(3+4i\right)\left(6-8i\right)[/tex]. All we have to do from now on is expand this expression.
Apply the rule [tex]\left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i[/tex], in this case where [tex]a=3,\:b=4,\:c=6,\:d=-8[/tex],
[tex]\left(3\cdot \:6-4\left(-8\right)\right)+\left(3\left(-8\right)+4\cdot \:6\right)i[/tex]
Let's simplify each part, [tex]3\cdot \:6-4\left(-8\right)[/tex] and [tex]3\left(-8\right)+4\cdot \:6[/tex]. Afterwards we can add [tex]i[/tex], and refine.
[tex]3\cdot \:6-4\left(-8\right) = 50[/tex] ; [tex]3\left(-8\right)+4\cdot \:6 = 0[/tex]
Therefore our simplified expression will be [tex]50+0i[/tex], otherwise known as just 50. That is our solution.
Answer:
Step-by-step explanation:
Two shaded identical rectangular decorative tiles are first placed (one each) at the top and at the base of a door frame for a hobbit's house, as shown in Figure 1. The distance from W to H is 45 inches. Then the same two tiles are rearranged at the top and at the base of the door frame, as shown in Figure 2. The distance from Y to Z is 37 inches. What is the height of the door frame, in inches?
Answer:
41 inches
Step-by-step explanation:
Let the point at the top of the door on the left be x
Wx + xH = 45
Let the point at the top of the door on the right be c
Yc + cZ = 37
We know the door is
xH + plus the width of the tile
The width of the tile is Yc
xH + Yc
On the right door
cZ + the height of the tile
cZ + Wx
Add the two doors together
xH + Yc + cZ + Wx = 2 times the height of the door
Rewriting
xH + Wx + Yc + cZ = 2 times the height of the door
45+ 37 = 2 times the door height
82 = 2 times the door height
Divide by 2
41 = door height
Jonathan's parents told him that for every 2 hours of homework or reading he completes, he would be able to play 30 minutes of video games. His friend Lucas's
parents told their son that he could play 1.5 hours for 5 hours of homework or reading time he completes. What is the unit rate for each boy? You must label both unit rates.
Answer:
Jonathan's Unit rate = 4 hr (reading/homework)/(1 hour for video games)
Lucas' Unit rate = 3 hr (reading/homework)/(1 hour for video games)
Step-by-step explanation:
The unit rate is the rate per unit of a quantity, that is the rate at which the denominator has been made a unit or one
The given parameters are;
The number of hours of homework or reading Jonathan needs to do for his parents to allow him to play video games for 30 minutes = 2 hours
The number of hours of homework or reading Lucas needs to do for his parents to allow him to play video games for 30 minutes = 1.5 hours
We note that 30 minutes = 0.5 hours
For Jonathan we have
Unit rate = (Number of hours of reading or homework)/(Number of hours playing video games)
Unit rate = (2 hours)/(0.5 hours) = 4 hours of reading or homework per hour of paying video games
Jonathan's Unit rate = 4 hr (reading/homework)/(1 hour for video games)
For Lucas we have
Unit rate = (Number of hours of reading or homework)/(Number of hours playing video games)
Unit rate = (1.5 hours)/(0.5 hours) = 3 hours of reading or homework per hour of paying video games
Lucas' Unit rate = 3 hr (reading/homework)/(1 hour for video games).
Anne can make 6 headbands from 3/5 meters of cloth. Which expression shows the amount of cloth needed to make 1 headband? What is the solution to the expression? The expression that shows the amount of cloth needed to make 1 headband is . The solution to the expression is meters.
Answer:
Needed to make one band = 3/5 / 6 meters.
The solution is 1/10 meters.
Step-by-step explanation:
The expression is 3/5 / 6
= 3/5 * 1/6
= 3/30
= 1/10
Answer:
6 x (3/5)
1/10
Step-by-step explanation:
Help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
The first statement is incorrect
Step-by-step explanation:
1 1/5 is positive so it is greater than the negative numbers
-2 2/5 is more negative than -1 3/5 so it is to the left on the number line
-2 2/5 < -1 3/5 < 1 1/5
11/5 < -2 1/5 is not correct because 1 is bigger than -2
Each child in a certain class is required to have school supplies of 1 notebook and 2 pencils. One notebook costs $1.09 and one pencil costs $0.59. With $15, what is the maximum number of children that can be provided with the required supplies? (Assume no tax.) Will mark Brainlist
Answer:
6 children
Step-by-step explanation:
Given
[tex]1\ Pencil = \$0.59[/tex]
[tex]1\ Notebook = \$1.09[/tex]
Required
Determine the number of students that can get pencils and notes worth $15
First, we need to calculate the amount that can be allotted to a child
[tex]1\ child= 1\ Notebook + 2\ Pencils[/tex]
[tex]1\ child= 1 * \$1.09 + 2 * \$0.59[/tex]
[tex]1\ child= \$1.09 + \$1.18[/tex]
[tex]1\ child= \$2.27[/tex]
From the given parameters, we have that
[tex]n\ children= \$15[/tex]
Where n is the number of child
Represent both as ratios;
[tex]1 : 2.27 = n : 15[/tex]
Convert to division
[tex]\frac{1}{2.27} = \frac{n}{15}[/tex]
Multiply both sides by 15
[tex]15 * \frac{1}{2.27} = \frac{n}{15} * 15[/tex]
[tex]\frac{15}{2.27} = n[/tex]
[tex]6.608 = n[/tex]
[tex]n = 6.608[/tex]
Because "a child" is discrete, we have to round down the above figure to
[tex]n = 6[/tex]
Hence, the maximum number of children that can be provided with supplies worth $15 is 6
A movie theater conducted a survey to see what customers preferred at the concession stand. The theater asked every fifth person who entered the movie theater every Friday for a month what his or her favorite movie snack was. Were the results of the survey valid? A. No, because the theater did not survey everyone in the theater. B. Yes, because the theater only surveyed children. C. Yes, because the theater surveyed a random sample. D. No, because the theater did not use a random sample.
Answer:
A) No because the theater did not survey everyone in the theater.
Answer:
Yes, because the theater surveyed a random sample.
Step-by-step explanation:
The survey is valid because there was a random sample. They surveyed every fifth person, so there was a variety of age groups, genders, and preferences included in the sample. Therefore, the correct answer is yes, because the theater surveyed a random sample.
!!!HELP MEEEE!!! ILL GIVE U BRAINLIEST
Question; a = 2, b = -4, c = 7, and d = -3
Evaluate c + d[(ac + b)/(d-a)] + c
Answer:
7+(-3)[(14-4)/(-5)]+7
7+3[2]+7
7+6+7
20
A boy weighing blank kilograms is riding a skateboard. He’s moving at 2 meters/second and has 40 joules of kinetic energy. He doubles his speed when he sees his friends ahead of him. His kinetic energy at the faster speed is blank joules.
Answer:
His kinetic energy at the faster speed is 160 J
Step-by-step explanation:
Here in this question, we are interested in calculating the kinetic energy at the faster speed.
Firstly, we need to know the mass of the boy’s body. We can do this by using the kinetic energy formula;
Mathematically;
K.E = 1/2 * m * v^2
From the question;
K.E = 40 Joules
m = ?
v = speed = 2 m/s
Now, plugging these values into the kinetic energy equation, we have;
40 = 1/2 * m * 2^2
40 = 1/2 * m * 4
40 = 4m/2
4m = 40 * 2
4m = 80
m = 80/4
m = 20 kg
Now that we know the mass of the boy’s body, we can proceed to calculate the new K.E
Let’s follow the third statement in the question;
We were told that he doubles his speed upon sighting his friend.
Recall, he was traveling at a speed of 2 m/s.
Now doubling this means the new speed will
be 2 * 2 = 4 m/s
Now, we want to calculate the kinetic energy value at this new speed.
Mathematically, we use the same formula for kinetic energy.
K.E = 1/2 * m * v^2
We know that m is the mass that we calculated as 20kg and our v here is 4 m/s
Plugging these values, we have;
K.E = 1/2 * 20 * 4^2
K.E = (20 * 16)/2
K.E = 320/2
K.E = 160 J
Answer:
A boy weighing 20 kilograms is riding a skateboard. He’s moving at 2 meters/second and has 40 joules of kinetic energy. He doubles his speed when he sees his friends ahead of him. His kinetic energy at the faster speed is 160 joules.
4x + 7 + 4
I need helppp pls
Answer:
4x+11
Step-by-step explanation:
you have to add the like terms,in this case the like terms are 7 and 4.4x isn't a like term cause it has a variable.
so you just have to add 7+4
4x+11
I hope this helps
Step-by-step explanation:
hope this may help you tq
help me with math pls;(
Answer:
as it is cbe the volume of cube is l*l*l
Step-by-step explanation:
the answercis 5*5*5= 125
Derek can paddle his kayak 6 miles per hour in still water. It takes him as long to paddle 10.5 miles upstream as it takes him to travel 31.5 miles downstream. Determine the speed of the river's current.
Answer:
3 mph
Step-by-step explanation:
Let the speed of the river's current be x
Upstream (against the river's current)
Resultant velocity = 6 - x
Distance covered = (6-x)t
10.5 = (6-x)t
t = 10.5/(6-x)
Downstream (with the river's current)
Resultant velocity = 6+x
Distance covered = (6+x)t
t = 31.5/(6+x)
Therefore.......
10.5/(6-x) = 31.5/(6+x)
10.5(6+x) = 31.5(6-x)
63 + 10.5x = 189 - 31.5x
Collect like terms
42x = 126
x = 3 miles per hour
HOPE IT HELPS!
PRETTY PLEASE MARK ME BRAINLIEST :-)
(08.02 MC)
A pair of equations is shown below
y = 2x - 1
y = 4x - 5
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the
equations.
Part B: What is the solution to the pair of equations?
Step-by-step explanation:
526 133 3821
P: 12345
j _o _I _n g _I _r l
o. n z-oo-o-m
can someone help on this question
Answer:
a) 3 x 20 = 60
b) -2x20 = -40
question c and d are unclear as we do not know how many questions were wrong and how many were not answered.
Sorry but I hope that helped
Answer:
a) 60 points
b) 0 point
c) 22 points
d) -11 points
Step-by-step explanation:
a) 20 * 3 = 60 points (all answered correct)
b) 0 point (Minimum score if you don't answer any of the questions)
c) 10 * 3 = 30 points
(14 - 10) * -2 = -8 points
right minus wrong = 30 - 8 = 22 points
d) 5 * 3 = 15 points
(18 - 5) * -2 = -26 points
right minus wrong = 15 - 26 = -11 points