Answer:
It will take them 4 days to travel 1400.
Step-by-step explanation:
350d (x 4) = 1400
A pizza pan is removed at 9:00 PM from an oven whose temperature is fixed at 450°F into a room that is a constant 70°F. After 5 minutes, the pizza pan is at 300°F.
(a) At what time is the temperature of the pan 125°F?
(b) Determine the time that needs to elapse before the pan is 150°.
(c) What do you notice about the temperature as time passes?
Answer:
A) It will get to a temperature of 125°F at 9:19 PM
B) It will get to a temperature of 150°F at 9:16 PM
C) as time passes temperature approaches the initial temperature of 450°F
Step-by-step explanation:
We are given;
Initial temperature; T_i = 450°F
Room temperature; T_r = 70°F
From Newton's law of cooling, temperature after time (t) is given as;
T(t) = T_r + (T_i - T_r)e^(-kt)
Where k is cooling rate and t is time after the initial temperature.
Now, we are told that After 5 minutes, the temperature is 300°F.
Thus;
300 = 70 + (450 - 70)e^(-5k)
300 - 70 = 380e^(-5k)
230/380 = e^(-5k)
e^(-5k) = 0.6053
-5k = In 0.6053
-5k = -0.502
k = 0.502/5
k = 0.1004 /min
A) Thus, at temperature of 125°F, we can find the time from;
125 = 70 + (450 - 70)e^(-0.1004t)
125 - 70 = 380e^(-0.1004t)
55/380 = e^(-0.1004t)
In (55/380) = -0.1004t
-0.1004t = -1.9328
t = 1.9328/0.1018
t ≈ 19 minutes
Thus, it will get to a temperature of 125°F at 9:19 PM
B) Thus, at temperature of 150°F, we can find the time from;
150 = 70 + (450 - 70)e^(-0.1004t)
150 - 70 = 380e^(-0.1004t)
80/380 = e^(-0.1004t)
In (80/380) = -0.1004t
-0.1004t = -1.5581
t = 1.5581/0.1004
t ≈ 16 minutes.
Thus, it will get to a temperature of 150°F at 9:16 PM
C) As time passes which means as it approaches to infinity, it means that e^(-kt) gets to 1.
Thus,we have;
T(t) = T_r + (T_i - T_r)
T_r will cancel out to give;
T(t) = T_i
Thus, as time passes temperature approaches the initial temperature of 450°F
Write an equation and solve for the missing anglemeasure.
Equation: _______________________
Angle g = ___________
Answer:
Equation: [tex]143 + g = 180[/tex]
[tex]g =37[/tex]
Step-by-step explanation:
Given
The attached figure
Required
The equation to find g and the solution
From the attached: Angles ACD, DCE and ECB lie on a straight line.
Where
[tex]ACD = 90[/tex] [tex]DCE = 53[/tex] [tex]ECB = g[/tex]
This means that:
[tex]ACD + DCE + ECB = 180[/tex]
[tex]90 + 53 + g = 180[/tex]
[tex]143 + g = 180[/tex]
Subtract 143 from both sides
[tex]-143 + 143 + g = 180 - 143[/tex]
[tex]g = 37[/tex]
A shirt regularly costs $14, but is on sale for 10% off. Sales tax is 6%. What is the cost of the shirt?
Answer:
13.356
Step-by-step explanation:
10/100 = 1.4
14-1.4 = 12.6
12.6*6% = 13.356
which inequality is true p=3.4
uhhh...p=3.4 is already simplified.
---
hope it helps???
help me pleaseeeee !
Answer:
81 Degrees
Step-by-step explanation:
The triangles are congruent and a triangle is 180 degrees total. So, 57+42=99. 180-99=81
So the answer is 81 degrees.
.....................help
9514 1404 393
Answer:
-0004.00
Step-by-step explanation:
The segment has a "rise" of -4 units for the "run" of 1 unit between x=2 and x=3. Then the slope is ...
slope = rise/run = -4/1 = -4
The difference of b and 4 is at most 15.
Answer:
b - 4 ≤ 15
b ≤ 19
Step-by-step explanation:
The statement "at most" typically means no more than, so the inequality sign would have to be "less than or equal to"
To solve for be all you would do is add 4 to both sides to get b by itself.
b - 4 ≤ 15
b - 4 + 4 ≤ 15 + 4
(-4 + 4 cancels itself out)
(15 + 4 = 19)
b ≤ 19
x2 – 12x = 39
Please help me solve this! I need the answer ASAP
Answer:
x = 6 ± 5[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Given
x² - 12x = 39
Using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 6)x + 36 = 39 + 36
(x - 6)² = 75 ( take the square root of both sides )
x - 6 = ± [tex]\sqrt{75}[/tex] = ± 5[tex]\sqrt{3}[/tex] ( add 6 to both sides )
x = 6 ± 5[tex]\sqrt{3}[/tex] ← solutions in exact form
Answer:
x = 6 ± 5* OR 6 - 5*
Step-by-step explanation:
In decimal form it would be either 14.66025403... or -2.66025403
Hope this helps!
Three train stations, A, B and T are built along a straight train track, so that Tis of the distance from A to . Which situation represents the function (m) - Im?
the number of miles between train stations A A and B. it train stations A and Tare miles apart
B O the number of miles between train stations A and B. if train stations and are miles apart
C the number of miles behiveen train stations A and T. If train stations A and Barem miles apart
D the number of miles between train stations and train stations A and B are miles apart
A right rectangular prism has a volume of 3536 cubic feet, and the length 8 of the base of the prism is 9 feet longer than its width. The height of prism is 26 feet. What are the dimensions of the base of the prism?
Answer:
Base = 8 * 17
Step-by-step explanation:
(Not sure what the "8" is, assuming an accidental input.)
Base area = 3536/26 = 136
136 = Lw
L = 136/w
L = w + 9
136/w = w + 9
136 = w(w + 9)
136 = w² + 9w
w² + 9w - 136
(w + 17)(w - 8)
Only use the positive result. w = 8
L = 8 + 9 = 17
Edit: Maybe 8 is the answer accidentally included in the question?...
9. Zuleyka compró una bicicleta por $149. Pagó un pronto de $50. Si pagó $9
semanalmente, ¿cuántas semanas le tomó a Zuleyka pagar la cantidad completa de la
bicicleta? *
(1 Point)
OA.
5
B В
9
C
11
D
16
Answer:
h s m s dhoni bold sin men farhan akhtar ne
A group of 140 students at an elementary school were asked if they prefer the color orange to the color green. The results are shown in the table below. Given that a randomly selected survey participant is a male, what is the probability that this student prefers the color green?
Enter your answer as a fraction.
Male Female Total
Orange 12 50 62
Green 5 73 78
Total 17 123 140
Provide your answer below:
$$
Answer:
1/28
Step-by-step explanation:
The probability that a male student picks green is 5 / 17
The randomly selected participant is a male which means that you should be looking at the probability that a male picks green not that a student picks green.
The probability that a male picks green is:
= Number of males who prefer green / Number of males in total
There are 17 males in total and 5 of them prefer green. Probability that a male picks green is:
= 5 / 17
In conclusion, the probability that a male picks green is 5 / 17.
Find out more at https://brainly.com/question/14682217.
When a new drug is created, the pharmaceutical company must subject it to testing before receiving the necessary permission from the Food and Drug Administration (FDA) to market the drug. Suppose the null hypothesis is "the drug is unsafe." What is the Type II Error? ( Select the one, correct letter option below) :
Answer:
Not to conclude that the drug is safe, when, in fact, it is safe.
Step-by-step explanation:
A type ii error is an error that occurs in a hypothesis testing when a person goes ahead to accept a null hypothesis when it is actually false and should be rejected.
To continue, here are the hypothesis:
H0: the drug is unsafe
H1: drug is safe.
A type ii error was committed here because H0, which is the null was accepted and it was concluded that the drug was unsafe, When in fact it should have been rejected. The conclusion should have been that the drug was safe.
A dress is on sale for 35\% off of the regular price.
If d represents the regular price of the dress, which expression represents the sale price of the dress?
A.
0.35d
B.
0.65d
C.
1.35d
D.
1.65d
PART B
Use the information from Part A to answer the question below. The regular price of a dress is $90, determine the sale price of the dress.
The sale price of the dress is $
.
Answer:
Expression that represents the sale price of the wedding dress is
Solution:
Given that, the dress is on sale for 35 % off the regular price
Let the regular price of dress be "w"
To find: Expression that represents the sale price of the wedding dress
Let "s" be the sale price of wedding dress
Sale price = Regular price - discount price
Discount price is given as:
Discount price = 35 % of regular price
Discount price = 35 % of w
Thus discount price = 0.35w
Expression for the sale price of the wedding dress:
Sale price = Regular price - discount price
s = w - 0.35
s = 0.65
s= 0.65
Thus expression that represents the sale price of the wedding dress is
s=0.56
ez one cus im lazy so give it a shot and 1st right = brainle
Answer:
d
Step-by-step explanation:
Answer:
For The Number 6 Its A
For The Number 7 The Volume is 400
Section B
Solve the word problems.
1
During a Science workshop, 685 people attended it on the first day
On the second day, there were 3 times as many people as on the
(a) How many people attended the workshop on the second do
(b) Each person had to pay $8 to attend the workshop
What was the total amount collected for the two days?
685
L
1) Factor the rational function.
22-4
22-50-14
X intercept
Answer: i dont know
Step-by-step explanation:
A gadget company randomly selects 10 toys per hour to inspect. The number of defective toys in the last six samples is shown in the table.
Based on this information, how many toys are likely to be defective in a sample of 500?
A: 1
B: 5
C: 50
D: 300
Answer:
50
Step-by-step explanation:
Using proportions, it is found that the number of toys that is likely to be defective in a sample of 500 is given by:
C: 50
What is a proportion?A proportion is a fraction of a total amount.
For the samples of 10, the mean number of errors is of:
( 0 + 2 + 1 + 1 + 2 + 0)/6 = 1
Hence, for samples of 500, the expected number of defective toys will be given by:
E = (500/10) x 1 = 50
Hence, option C is correct.
More can be learned about proportions at https://brainly.com/question/24372153
solve for x in the equation 5x-4=2x+20
The solution to the equation 5x - 4 = 2x + 20 is x = 8 which can be determined by simplification process.
To solve for x in the equation 5x - 4 = 2x + 20, we can follow these steps:
Start by isolating the x terms on one side of the equation. We can do this by subtracting 2x from both sides:
(5x - 2x) - 4 = (2x - 2x) + 20]
Simplifying:
3x - 4 = 20
Next, isolate the constant term on the opposite side of the equation by adding 4 to both sides:
(3x - 4) + 4 = 20 + 4
Simplifying:
3x = 24
Finally, solve for x by dividing both sides of the equation by 3:
(3x)/3 = 24/3
Simplifying:
x = 8
Therefore, the solution to the equation 5x - 4 = 2x + 20 is x = 8.
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Full Question-
Solve for x in the given equation 5x-4 = 2x+20
What is the GCF of the following terms 20n3 and 15n2 ?
The diagram shows a regular hexagon and a parallelogram.
х
(112°
Work out the size of the angle marked x.
You must show all your working.
7
a
Total marks: 4
Answer:
52°
Step-by-step explanation:
180-112=68
120-68=52
The size of the angle marked x is 52°.
Given that a hexagon and parallelogram share the same one vertex and the angle of the parallelogram is 112°
To determine the size of the angle marked x by utilizing the properties of a regular hexagon and the given angle of 112°.
A regular hexagon has interior angles measuring 120° each. Since the hexagon is regular, all six interior angles are congruent. We can divide the hexagon into six equal triangles, each having an angle of 120°.
In parallelogram, the opposite angles are congruent and the sum of adjacent angles is 180°.
The parallelogram adjacent to the hexagon shares the same vertex as the hexagon's interior angle.
Let the angle adjacent to 112° in parallelogram be a and a is adjacent to angle x in hexagon,
By using parallelogram property gives,
a + 112° = 180°
Subtract 112° from both the sides, gives,
a = 68°
x and a form one angle of the hexagon which is equal to 120° gives,
x + a = 120°
Substitute the value of a = 68° in the above equation
x+ 68° = 120°
Subtract 68° from both the sides, gives,
x = 52°
Hence, the size of the angle marked x is 52°.
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there are 640 students in one school. How many boys are there if it is known that 1/4 of the number of girls is equal to one sixth of the number of boys?
Answer:
960
Step-by-step explanation:
You have to figure out what 1/4th of 640 is, which is 160.
It says that number is 1/6th of boys, so you multiply by the inverse.
160x6 = 960
well since all of the girls = 4/6ths of the boys that would mean 24/24girls=16/24boys
16/24 is 66.666666666667% of 24/24
66.666666666667% of 640 is426.666666667 but in my head i would round up so:
Approximately
427 boys and 213 girls.
A cell culture currently contains 4 thousand cells, and is growing at a rate of r (t) = 8e^0.18t thousand cells per hour, where t is the number of hours since now. Find the total cell count after 3 hours. Give your answer accurate to at least 2 decimal places.
Answer:
20.00 thousand cell
Step-by-step explanation:
The problem can be solved using integration
[tex]\begin{aligned} r &=4+\int_{0}^{3} 8 e^{0.18 t} d t \\ &=4+3 \cdot\left[\frac{e^{0.18t}}{0.18}\right]_{0}^{3} \\ &=4+\frac{3}{0.18}\left(e^{0.18(3)}-e^{0.18(0)}\right) \\ &=19.9996 \end{aligned}[/tex]
[tex]\approx 20.00[/tex] thousand cells
the correct answer upto 2 decimal place.
Which two values are solutions of the inequality r≥6?
Select one:
r = 6, r = 9
r = −7, r = −8
r = 3, r = −10
r = 4, r = −2
Answer:
r = 6
r = 9
Step-by-step explanation:
j varies directly with h and u
Answer:
Im sorry in order for us to answer this question you have to use real words and add details to your question and with complete sentences.
Thank You
If a pizza pie had
a diameter of 12
inches, what
would be its
circumference?
Answer:
37.7 inches
Step-by-step explanation:
Formula of circumference:
[tex]2\pi r[/tex]
r = radius
In the current case,
radius is 6 inches
Hence,
circumference=
[tex]2*\pi *6\\= 12\pi\\= 37.6991118431[/tex]
≅ 37.7 inches
Feel free to mark it as brainliest
Please need help thank you
Answer:
9
Step-by-step explanation:
Answer:
9 clients ran at least 2 laps
Step-by-step explanation:
5 clients ran 2 laps, and 4 clients ran 3 laps
What is the range for c=6t+8
Answer:
is this statistics? i will change my answer once u explain to me thank you.
Step-by-step explanation:
Answer:
Its infinite
Step-by-step explanation:
4x - 5= 2(2x - 1) -3
Answer and Step-by-step explanation:
Solve for x.
Distribute the 2.
4x - 5 = 4x - 2 - 3
Combine like terms
4x - 5 = 4x - 5
Add 5, and subtract 4x.
0 = 0
There are infinitely many solutions, meaning any value plugged in for x will result in the equation being true.
#teamtrees #PAW (Plant And Water)
After a few months, Isabella's mother decides to harvest all the peas and corn and sell it at the local market. She decides on these prices: Peas are sold at $ 3 3/4 for each square foot harvested. And, corn is sold at $ 1 1/2 for each square foot harvested. Calculate how much money she made if she sold all her produce (all of her peas and corn).
