Answers
Answer:
x = 18
Step-by-step explanation:
So, we know that the formula for volume is the base of the shape * height. So, 6x is the area of the base because the area of a triangle is (l * W)/2. Next, we have to multiply 6x by the height of the shape. The height is 6, so the volume of the shape will 36x. Since we have the actual volume, all we have to do is divide 648/36 to get 18.
Related Questions
The national weather service keeps records of rainfall in valleys. Records indicate that in a certain valley the annual rainfall has a mean of 95 inches and a standard deviation of 12 inches. Suppose the rainfalls are sampled during randomly picked years and x is the mean amount of rain in these years. For samples of size 36 determine the mean and standard deviation of x.
Answers
Answer:
The mean is 95 and the standard deviation is 2
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
Population:
Mean 95, Standard deviation 12
Samples of size 36:
By the Central Limit Theorem,
Mean 95
Standard deviation [tex]s = \frac{12}{\sqrt{36}} = 2[/tex]
A drug is administered intravenously at a constant rate of r mg/hour and is excreted at a rate proportional to the quantity present, with constant of proportionality k > 0.
(a) Set up a differential equation for the quantity, Q, in milligrams, of the drug in the body at time t hours. (Your answer will contain the unknown constants r and k.)
(b) Solve this differential equation, assuming there is no drug in the body initially. (Your answer will contain r and k.)
(c) What is the limiting long-run value of Q?
Answers
Answer:
a.)Q' = -kQ + r
b.)Q = [tex]\frac{r}{k} [ 1 - e^{-kt} ][/tex]
c.) Limiting long run value of Q = [tex]\frac{r}{k}[/tex]
Step-by-step explanation:
a.)
The rate of change is directly proportional to the quantity, Q
⇒[tex]\frac{dQ}{dt}[/tex] ∝ Q
⇒[tex]\frac{dQ}{dt}[/tex] = -kQ ( because it is decreasing )
Also given, quantity is increasing with a constant rate r
⇒[tex]\frac{dQ}{dt}[/tex] = -kQ + r
⇒Q' = -kQ + r
b.)
As we have
[tex]\frac{dQ}{dt}[/tex] = -kQ + r
⇒[tex]\frac{dQ}{-kQ + r}[/tex] = dt
⇒∫[tex]\frac{dQ}{-kQ + r}[/tex] = ∫dt
⇒-[tex]\frac{1}{k}log(-kQ + r) = t + C[/tex]
⇒log(-kQ + r) = -kt -kC
Taking exponential both side, we get
⇒-kQ + r = [tex]e^{-kt +A}[/tex]
⇒-kQ = -r + [tex]e^{-kt +A}[/tex]
⇒Q = [tex]\frac{r}{k}[/tex] - [tex]\frac{1}{k}[/tex][tex]e^{-kt +A}[/tex]
⇒Q = [tex]\frac{r}{k}[/tex] - [tex]\frac{1}{k}[/tex][tex]e^{-kt}.e^{A}[/tex]
⇒Q = [tex]\frac{r}{k}[/tex] - [tex]\frac{1}{k}[/tex][tex]Be^{-kt}[/tex] .......(1)
Now,
At t = 0, Q = 0
0 = [tex]\frac{r}{k}[/tex] - [tex]\frac{1}{k}[/tex]B
⇒[tex]\frac{1}{k}B = \frac{r}{k}[/tex]
⇒B = r
∴ equation (1) becomes
Q = [tex]\frac{r}{k}[/tex] - [tex]\frac{r}{k}[/tex][tex]e^{-kt}[/tex]
⇒Q = [tex]\frac{r}{k} [ 1 - e^{-kt} ][/tex]
c.)
for limiting long run value of Q
[tex]\lim_{n \to \infty} Q = \lim_{n \to \infty}[/tex] [tex]\frac{r}{k} [ 1 - e^{-kt} ][/tex]
= [tex]\frac{r}{k}[/tex][tex]\lim_{n \to \infty} [ 1 - e^{-kt} ]= \frac{r}{k} [ 1 - e^{\infty} ] = \frac{r}{k}[ 1-0][/tex]
= [tex]\frac{r}{k}[/tex]
⇒Limiting long run value of Q = [tex]\frac{r}{k}[/tex]
Q' = -kQ + r
Q = r/k (1- [tex]\rm e^{-kt}[/tex])
The limiting long-run value of Q = [tex]\rm \frac{r}{k}[/tex]
A drug is administered intravenously at a constant rate of r mg/hour and is excreted at a rate proportional to the quantity present, with a constant of proportionality k > 0.
What is a differential equation?The differential equation is an equation that contains the derivative of the unknown function.
a) It is given that the rate of change is directly proportional to the quantity Q
[tex]\rm \frac{dQ}{dt}[/tex] ∝ Q
[tex]\rm \frac{dQ}{dt}[/tex] = -kQ
So, Q' = -kQ + r
where quantity Q is increasing with constant rate r and k is unknown constant.
b) Q' = -kQ + r
[tex]\rm \frac{dQ}{dt}[/tex] = -kQ + r
[tex]\rm \frac{dQ}{-kQ+r}=dt\\[/tex]
[tex]\int\limits {\rm \frac{dQ}{-kQ+r} = \int\limits dt[/tex]
log(-kQ + r) = -kt -kC
by taking exponential both side, we get
-kQ + r = [tex]e^{-kt+A}[/tex]
-kQ = -r + [tex]e^{-kt+A}[/tex]
-Q /k= -r/k + [tex]e^{-kt+A}[/tex]/k
Q = -r/k -[tex]\rm \frac{1}{k}Be^{-kt}[/tex]
At t = 0, Q = 0
[tex]\rm \frac{1}{k} B=\frac{r}{k}[/tex]
B = r
by substituting the value in the above equation
Q = r/k (1- [tex]\rm e^{-kt}[/tex])
c) The limiting long-run value of Q
[tex]\rm \lim_{n \to \infty} Q= \lim_{n \to \infty} \frac{r}{k} [1-e^{-kt} ]\\\rm= \frac{r}{k}\lim_{n \to \infty} [1-e^{-kt} ]\\\rm =\frac{r}{k}[1-0]\\\rm=\frac{r}{k}[/tex]
The value Q =[tex]\rm \frac{r}{k}[/tex]
Learn more about differential equations here:
https://brainly.com/question/25731911
A boat moves at a rate of 11 mph in Stillwater if the rivers current flow at a rate of 2 mph how long does it take the boat to travel 26 miles upstream
Answers
Answer:
2 hours 52 minutes
Step-by-step explanation:
11-2=9
26/9=2.87
then 42 letter Pat rotational Athlone for tea towel
Answers
me pueden ayudar a encontrar el promedio de Andrea
Español: 8.5
Matemáticas:7.0
Ciencias:9.5
Geográfia:8.0
Formación C. E. :10
Artísticas : 9.5
Educación Física: 9.0
Answers
Answer:
primero sumas todas las calificaciones
posteriormente las divedes entre las materias que son y listo sacas su promedio
espero y te ayude
Which of these are
AAS, HL, SAS, SSS OR ASA
Answers
Answer:
1. HL
2. ASA
3. AAS
4. SSS
Step-by-step explanation:
1. The hypotenuse and right angle of one triangle is congruent to the other triangle's hypotenuse and right angle, proving the hypotenuse-leg congruency theorem (HL).
2. The two angles and their included side (the side between the two angles) of a triangle match those of the other triangle, proving the angle-side-angle congruency theorem (ASA).
3. The measures of the side and the two adjacent angles of a triangle are given. They are congruent to the corresponding parts of the other triangle, proving the angle-angle-side congruency theorem (AAS).
4. All side lengths of one triangle are given, matching the corresponding sides of the other triangle. This proves the side-side-side congruency theorem (SSS).
I hope this helped!
Which statements describe the graph of 2 8/9 ≥ x on a number line? Select three options.
Answers
Answer:
✔️The graph contains point zero
✔️There's a closed circle on 2⁸/9
✔️The arrow points to the left
Step-by-step explanation:
The inequality, 2⁸/9 ≥ x, implies that 2⁸/9 is either equal to x or more than x. In other words, the highest value of x is 2⁸/9. Possible value of x is equal to or less than 2⁸/9.
This, on a number line, we would graph the information as follows:
✔️The graph contains point zero
Rationale: point zero is less than 2⁸/9
✔️There's a closed circle on 2⁸/9
Rationale: this indicates 2⁸/9 is included in the possible value of x
✔️The arrow points to the left
Rationale: possible value of x ranges from 2⁸/9 and below.
Answer: b c d
Step-by-step explanation:
heart it please ;) your welcome
un cuerpo es dejado caer desde una altura de 3000 centímetros
Answers
Answer:
what is your question
Step-by-step explanation: am not trying to steal ur points
Out of these, which is not an inequality?
a. 435 ≥ 5p + 4
b. g - 7 < 100
c. 18x + 9y
d. a > 6b
Answers
Answer:
C. 18x+9y
Step-by-step explanation:
Answer:
I think its the third one, C. Hope this helps!
Sarah's fish tank holds 32 litters of water. Sarah uses a 4 liter container to fill the tank. how many times will Sarah need to fill the 4 liter container in order to fill the fish tank.
Answers
Answer:
8 times,
Step-by-step explanation:
4 x 8 is 32
Answer this question please
Answers
Answer:
The answer is A
Step-by-step explanation:
Do on the first row, you see 1 tab of 5's
then on the left, you see 1 tab of 3's
So the answer is A!!!
cuánto es 1+1 = es dos jaja
Answers
Answer:
El raigañu cuadráu corresponder cola radicación d'índiz 2 o, equivalentemente, cola potenciación d'esponente 1/2.
Cualquier númberu real non negativu {\displaystyle x}x tien un únicu raigañu cuadráu positiva o raigañu cuadráu principal[2] y denotada como {\displaystyle {\sqrt {x}}}{\displaystyle {\sqrt {x}}} onde {\displaystyle {\sqrt {\;}}}{\displaystyle {\sqrt {\;}}} ye'l símbolu raigañu y {\displaystyle x}x ye'l aniciando.
Cuando se riquir denotar dos raigaños cuadraos una negativa, {\displaystyle -{\sqrt {x}}}{\displaystyle -{\sqrt {x}}}, y otra positiva, {\displaystyle {\sqrt {x}}}{\displaystyle {\sqrt {x}}}, suelen denotarse curioso como {\displaystyle \pm {\sqrt {x}}}{\displaystyle \pm {\sqrt {x}}} o bien como {\displaystyle \mp {\sqrt {x}}}{\displaystyle \mp {\sqrt {x}}} según l'orde precisáu.
El conceutu de raigañu cuadráu puede estendese a cualquier aniellu alxebraicu, asina ye posible definir el raigañu cuadráu d'un númberu real negativu o'l raigañu cuadráu de delles matrices. Nos númberos cuaterniónicos los reales negativos almiten un númberu infinitu de raigaños cuadraos, sicasí'l restu de cuaterniones distintos de cero almiten solu dos raigaños cuadraos. Nel aniellu non conmutativu de les funciones reales de variable real cola adición y la composición de funciones si fºf = g, puede plantegase que f ye la "raigañu cuadráu" de g.[3]
Step-by-step explanationY segun todos mis calculos es 2 :
(10 Points) Tanya is visiting New Orleans, and she wants to bring back T-shirts for all her friends. She’s
found T-shirts she likes for $5, $10, and $15. She has budgeted $40 for the gifts. make a systematic list
to answer the following questions.
(i) List how many ways she can spend exactly $30 if she is determined to buy one or more than one
$15 T-shirts?
(ii) List how many ways she can spend exactly $25.
Help its due in 1 hour plzzz!!!!!!! can you show your work to
Answers
Answer:
ok.
1. Tanya spends exactly $30.
She can spend $15.00 each for 2 t shirts and spend $30.00
15 x 2 = 30
She can buy one $15.00 t shirt, one $10.00 t shirt and one $5.00 t shirt for exactly $30.00.
15 + 10 + 5 = 30
She can buy one $15.00 t shirt, and three $5.00 t shirts for exactly $30.00
15 + 5 + 5 +5 = 30
2. To spend exactly $25.00, Tanya can spend it :
5 of the $5.00 t shirts
5 x 5 = 25
2 of the $10 t shirts and one of the $5 t shirts
10 + 10 + 5 = 25
1 of the $15 t shirts and one of the $10 t shirts
15 + 10 = 25
1 of the $15 t shirts and 2 of the $5 t shirts
15 + 5 + 5 = 25
Damian went shopping for a new pair of sneakers. Sales tax where he lives is 5.5%. The price of the pair of sneakers is $48. Find the total price including tax. Round to the nearest cent.
Answers
A sample of customers from Barnsboro National Bank shows an average account balance of $315 with a standard deviation of $87.A sample of customers from Wellington Savings and Loan shows an average account balance of $8350 with a standard deviation of $1800.Which statement about account balances is correct?A) Barnsboro Bank has more variation.B) Wellington S&L has more variation.C) Both have the same variation.
Answers
Answer:
A) Barnsboro Bank has more variation.
Step-by-step explanation:
Coefficient of Variation:
The coefficient of variation is given by the division of the standard deviation by the mean.
In this question:
The account balance with the highest coefficient of variation has more variation.
Barnsboro National Bank shows an average account balance of $315 with a standard deviation of $87.
So
[tex]cv = \frac{87}{315} = 0.2762[/tex]
Wellington Savings and Loan shows an average account balance of $8350 with a standard deviation of $1800.
So
[tex]cv = \frac{1800}{8350} = 0.2156[/tex]
Barnsboro Bank has the higher cv, so more variation, and the answer is given by option A.
Which is the correct calculation for the volume of the prism??
3units
5units
4units
3+5+4=12units3
3(4)+6=17units3
3(4)=12units3
3+(5)(4)=60units3
Answers
Answer:
3+5+4=12units3
Step-by-step explanation:
A prism has a length of 3 units, height of 5 units, and width of 4 units. 3 + 5 + 4 = 12 Units cubed 3(4) + 5 = 17 Units cubed.
Answer:
He is wrong its really 60 units
Step-by-step explanation:
A 0.025 kg bullet enters a 2.35-kg watermelon with a speed of 217 m/s
and exits the opposite side with a speed of 109 m/s. If the melon was
originally at rest, then what speed will it have as the bullet leaves its
opposite side?
Answers
Answer:
1.15m/s
Step-by-step explanation:
Given data
m1=0.025 kg
m2= 2.35kg
u1= 217 m/s
v1= 109 m/s
u2= 0
v2=???
Applying the law of conservation of linear momentum
m1u1+m2u2=m1v1+m2v2
substitute
0.025*217+2.35*0= 0.025*109+2.35*v2
5.425= 2.725+ 2.35v2
5.425-2.725=2.35v2
2.7=2.35v2
divide both sides by 2.35
v2= 2.7/2.35
v2=1.15 m/s
Hence the speed of the watermelon will be 1.15m/s
Which inequality is FALSE?
A
2/10 > 0.13
B
0.25 > 1/4
C
0.125 < 1/6
D
0.15 < 2/3
Answers
Answer:
A is a false equation broooo
Answer:
B, because 0.25 is EQUAL TO 1/4, not greater than
Step-by-step explanation:
A. 2/10 (or 1/5) is equal to 0.2 and 0.2 > 0.13 is correct
B. 1/4 is equal to 0.25, so 0.25 > 1/4 is incorrect
C. 1/6 is equal to 0.166666... and 0.125 < 0.1666 is correct
D. 2/3 is equal to 0.6666... and 0.15 < 2/3 is correct
How do I solve 10x = 100
Answers
Answer:
x = 10 since 10 x 10 = 100
Step-by-step explanation:
What impact did the American Revolution have on Haiti?
What impact did the Haitian Revolution have on the United States?
Please help
Answers
Answer:
What impact did the American Revolution have on Haiti? The American Revolution occurred first and in part inspired the Haitian and French Revolutions. ... The Haitian Revolution was the first and only slave uprising that led to the establishment of a free state without slavery and ruled by non-whites and former slaves.
What impact did the Haitian Revolution have on the United States?The Haitian Revolution had many international repercussions. It ended Napoleon's attempts to create a French empire in the Western Hemisphere and arguably caused France to decide to sell its North American holdings to the United States (the Louisiana Purchase)—thus enabling the expansion of slavery into that territory.
Step-by-step explanation:
BRAINLIST PLEASE!!
To offset college expenses, at the beginning of your freshman year you obtain a nonsubsidized student loan for $15,000. Interest on this loan accrues at a rate of 4.11% compounded monthly. However, you do not have to make any payments against either the principal or the interest until after you graduate.
Required:
a. Write a function that gives the total amount, F, you will owe on this loan after t years in college. F(t) = ?
b. What is the APR?%
c. What is the APY? (Round your answer to two decimal places.)
Answers
Answer:
15000(1.003425)^12t ;
4.11%
4.188%
Step-by-step explanation:
Given that:
Loan amount = principal = $15000
Interest rate, r = 4.11% = 0.0411
n = number of times compounded per period, monthly = 12 (number of months in a year)
Total amount, F owed, after t years in college ;
F(t) = P(1 + r/n)^nt
F(t) = 15000(1 + 0.0411/12)^12t
F(t) = 15000(1.003425)^12t
2.) The annual percentage rate is the interest rate without compounding = 4.11%
3.)
The APY
APY = (1 + APR/n)^n - 1
APY = (1 + 0.0411/12)^12 - 1
APY = (1.003425)^12 - 1
APY = 1.04188 - 1
APY = 0.04188
APY = 0.04188 * 100% = 4.188%
Martha jogged 7.8 miles. Erica jogged 0.5 times as far. How dar did erica jog
Answers
Answer: 3.9
Step-by-step explanation:
7.8 miles x 0.5 = 3.9 miles
2) James paid x dollars plus 3% sales tax for a pen. Write an algebraic Expression for the amount of
money he paid for the pen.
3) Seven watermelons each weighs w pounds a basket can hold 11 pounds less than two-fifths of the
weight of the watermelons. What weight can the basket hold?
(US)
Text Predictions: On
100%
Algebraic expression for #3
Answers
Answer:
What’s the answer?!? Ok
Step-by-step explanation:
12.6d07
Find the probability.
In one town, 47% of all voters are Democrats. If two voters are randomly selected for a
survey, find the probability that they are both Democrats.
Select one:
a. 0.221
b. 0.940
c. 0.470
d. 0.216
Answers
Answer:
A
Step-by-step explanation:
The fact you need to use is 47%
47/100 * 47/100 = 2209 / 10000 = 0.221
X+4b=72. If x=12, what’s the value of b?
Answers
Answer:
Step-by-step explanation:
12 + 4b = 72
Subtract 12 on both sides
4b = 60
b = 15
Now you would have to move the constant towards the right side within it’s sign
4b=72-12
Now you subtract 72 by 12 which would give you 60
4b=60
Then you divide 4 by both sides
Therefore the answer is going to be b=15
b=15
To check do 12+4(15)=72
And that’s accurate
a) 9V3 –473 + 15 + 2/5
Answers
Answer:
the answer is 27v- 2288/5
Express the recurring decimal 0.004 as a fraction.
Answers
Answer:
The recurring decimal 0.004 in friction is 1/250
Answer:
Step-by-step explanation:
Let x=0.004444....
1000x-100x=4.444... -0.444...
900x=4
x=4/900=1/225
one of the root of the quadratic equation dx²-cx+p=0 is twice other. find the relationship between d, c, and p
please help...I don't understand atall
Answers
Answer:
The relationship between d, c and p is that [tex]p = \frac{4c^2}{9d}[/tex]
Step-by-step explanation:
Roots of a quadratic equation:
The roots [tex]r_1[/tex] and [tex]r_2[/tex] of a quadratic equation in the following format:
[tex]ax^2 + bx + c = 0[/tex]
Can be given by:
[tex]r_1 + r_2 = -\frac{b}{a}[/tex]
[tex]r_1r_2 = \frac{c}{a}[/tex]
In this question:
We have the following quadratic equation:
[tex]dx^2 - cx + p = 0[/tex]
So [tex]a = d, b = -c, c = p[/tex]
One of the roots is twice the other:
So [tex]r_2 = 2r_1[/tex]
First relation:
[tex]r_1 + r_2 = -\frac{b}{a}[/tex]
[tex]r_1 + 2r_1 = -\frac{(-c)}{d}[/tex]
[tex]3r_1 = \frac{c}{d}[/tex]
[tex]r_1 = \frac{c}{3d}[/tex]
Second relation:
[tex]r_1r_2 = \frac{c}{a}[/tex]
[tex]r_1*2r_1 = \frac{p}{d}[/tex]
[tex]2r_{1}^{2} = \frac{p}{d}[/tex]
[tex](\frac{2c}{3d})^2 = \frac{p}{d}[/tex]
[tex]\frac{4c^2}{9d^2} = \frac{p}{d}[/tex]
[tex]p = \frac{4c^2}{9d}[/tex]
The relationship between d, c and p is that [tex]p = \frac{4c^2}{9d}[/tex]
Ezra’s dad is building a cover for his sandbox. The sandbox is in the shape of a kite as shown.
A kite has a width of 6 feet and a height of 4 feet.’
What is the area of the sandbox cover?
6 square feet
12 square feet
18 square feet
24 square feet
Answers
Answer:
12
Step-by-step explanation:
its either 12 or 18 try 12 first
can somebody solve this question for me and explain it
Answers
Answer:2
Step-by-step explanation: