Answer:
B i think
Step-by-step explanation:
I am nit sure but j think do
A calculator is required to obtain the final answer on this question. A solid metal sphere at room temperature 20oC is dropped into a container of boiling water (100oC). If the temperature of the sphere increases 10o in 9 seconds, find the temperature of the ball after 18 seconds in the boiling water. (Assume the sphere obeys Newton's Law of Cooling.)
Answer:
38.71°C
Step-by-step explanation:
Given :
Initial temp, T0 = 20°C
Final temperature, T = 20 + 10 = 30°C
Time, t = 9 seconds
Surrounding temperature, Ts = 100°C
Newton's Law of cooling :
T = Ts + (T0 - Ts) * e^-kt
Obtain the value of k
30 = 100 + (20 - 100) * e^-9k
30 - 100 = - 80e^-9k
-70 = - 80e^-9k
-70 / - 80 = e^-9k
0.875 = e^-9k
Take the In of both sides
In(0.875) = - 9k
−0.133531 = - 9k
k = 0.133531 / 9
k = 0.0148
Hence,
t = 18
T = Ts + (T0 - Ts) * e^-kt
T = 100 + (20 - 100) * e^-0.0148(18)
T = 100 - 80 * e^-0.0148(18)
T = 100 - 80 * 0.7661326
T = 38.709392
T = 38.71°C
What is the value of W in the equation 1/4W=16
Answer:
w=64
Step-by-step explanation:
you just have to multiply 4 on both sides to cancel the 1/4, and 16x4=64
Answer:
W = 64Step-by-step explanation:
We will undo the operations that obscure the value of W to find its value.
1/4W = 16
Since we divided W by 4 (1/4W is the same a W/4), we will multiply both sides by 4.
16 x 4 = 64.
The value of W is 64.
Which function has the same range as | f (x) = negative 2 StartRoot x minus 3 EndRoot + 8?
g (x) = StartRoot x minus 3 EndRoot minus 8
g (x) = StartRoot x minus 3 EndRoot + 8
g (x) = negative StartRoot x + 3 EndRoot + 8
g (x) = negative StartRoot x minus 3 EndRoot minus 8
Answer:
it is c
Step-by-step explanation:
Based on the information given regarding the function, the correct option is C. g (x) = negative StartRoot x + 3 EndRoot + 8.
Interpretation of the function.It should be noted that a function simply means the relation from a set of inputs to a set of possible outputs.
In this case, the function that has the same range as | f (x) = negative 2 StartRoot x minus 3 EndRoot + 8 will be g (x) = negative StartRoot x + 3 EndRoot + 8.
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What's cheaper, paying $20 or 20% off of $30?
NEED HELP!!
Answer:
$20 is cheaper :) (20% off of $30 would be $24!)
I'm doing a test and I need to know which one right I'll attach a photo of it it's a simple one I just want a second opinion.
Answer:
B.
Step-by-step explanation:
Your teacher is giving a 150 point test. There are a total of 46 3-point questions and 5-point questions. How many of each are on the test
Answer:
Let x be the number of 3-point questions.
Let y be the number of 5 point questions.
Please save all 3 will mark brainliest im seriously lost guys!
Answer:
12.2acute 3.7Step-by-step explanation:
Triangle with sides of 10, 7 and x
x² = 10² + 7²x² = 149x = √149x = 12.2-------------------
Triangle with sides 3, 16 and 17
The two bigger angles are close in measure, so all 3 angles are less than 90°
The triangle is acute
------------------
Right triangle with sides 9 and x and a angle 24°
sin 24° = x/9x = 9 sin 24°x = 3.7Find the simple interest on a P10500 loan at 20% for two years. (show
your process to get two points)
DO
D12
Dan
Answer:
P4200
Step-by-step explanation:
SI=PRT/100
P=Principal which is P10500
R=Rate which is 20%
T=Time which is 2 years
So SI= 10500×20×2/100
=P4200
Pls help extra points and mark brainlist
Step-by-step explanation:
I'm not sure but I think there are 2 terms!
Pleasee Help!!! v2=?
[tex] \sf \dashrightarrow l = p(v_{2} - v_{1})[/tex]
[tex] \sf \dashrightarrow \dfrac{l}{p} = v_{2} - v_{1}[/tex]
[tex] \sf \dashrightarrow \dfrac{l}{p} + v_{1} = v_{2}[/tex]
[tex] \sf \dashrightarrow v_{2} = \dfrac{l}{p} + v_{1}[/tex]
[tex] \large \underline{\boxed{\bf{v_{2} = \dfrac{l}{p} + v_{1}}}}[/tex]
Hence, value of [tex] \sf v_{2} = \dfrac{l}{p} + v_{1}[/tex]
A pharmacist found at the end of the day she had 3/2 as many prescriptions for antibiotics as tranquilizers. She had 35 prescriptions altogether. How many did she have for tranquilizers?
Answer:
She had 14 prescriptions for tranquilizers.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the number of prescriptions she had for antibiotics.
y is the number of prescriptions she had for tranquilizers.
A pharmacist found at the end of the day she had 3/2 as many prescriptions for antibiotics as tranquilizers.
This means that:
[tex]\frac{x}{y} = \frac{3}{2}[/tex]
[tex]x = \frac{3y}{2}[/tex]
She had 35 prescriptions altogether.
This means that:
[tex]x + y = 35[/tex]
How many did she have for tranquilizers?
We want to find y. Since [tex]x = \frac{3y}{2}[/tex], we solve the following equation.
[tex]x + y = 35[/tex]
[tex]\frac{3y}{2} + y = 35[/tex]
Multiplying everything by 2
[tex]3y + 2y = 70[/tex]
[tex]5y = 70[/tex]
[tex]y = \frac{70}{5}[/tex]
[tex]y = 14[/tex]
She had 14 prescriptions for tranquilizers.
Help me please and thank you!!!!!
Answer:
D-y=-3x+5
Step-by-step explanation:
Slope is -3x and y intercept is positive 5
Answer:
Step-by-step explanation:
y - 2 = -3(x - 1)
y - 2 = -3x + 3
y = -3x + 5
answer is D
A pew research Center project on the state of news media showed that the clearest pattern of news audience growth in 2012 came on digital platforms. According to pew research data, 39% of Americans get news online or from a mobile device in a typical day. a. Suppose that you take a sample of 100 Americans. If the population proportion of Americans who get news online or from a mobile device in a typical day is 0.39, what is the probability that fewer than 30% in your sample will get news online or from a mobile device in a typical day? b. Suppose that you take a sample of 400 Americans. If the population proportion of Americans who get news online or from a mobile device in a typical day is 0.39, what is the probability that fewer than 30% in your sample will get news online or from a mobile device in a typical day? c. Discuss the effect of sample size on the sampling distribution of the proportion in general and the effect on the probabilities in (a) and (b).
Answer:
Step-by-step explanation:
Given that:
the sample proportion p = 0.39
sample size = 100
Then np = 39
Using normal approximation
The sampling distribution from the sample proportion is approximately normal.
Thus, mean [tex]\mu _{\hat p} = p = 0.39[/tex]
The standard deviation;
[tex]\sigma = \sqrt{\dfrac{p(1-p)}{n} }[/tex]
[tex]\sigma = \sqrt{\dfrac{0.39(1-0.39)}{100} }[/tex]
[tex]\sigma = 0.048[/tex]
The test statistics can be computed as:
[tex]Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}[/tex]
[tex]Z = \dfrac{0.3 - 0.39 }{0.0488}[/tex]
[tex]Z = -1. 8 4[/tex]
From the z - tables;
[tex]P (\hat p \le 0.3 ) = P(z \le -1.84)[/tex]
[tex]\mathbf{P (\hat p \le 0.3 ) = 0.0329}[/tex]
(b)
Here;
the sample proportion = 0.39
the sample size n = 400
Since np = 400 * 0.39 = 156
Thus, using normal approximation.
From the sample proportion, the sampling distribution is approximate to the mean [tex]\mu_{\hat p} = p = 0.39[/tex]
the standard deviation [tex]\sigma_{\hat p} = \sqrt{\dfrac{p(1-p)}{n} }[/tex]
[tex]\sigma_{\hat p} = \sqrt{\dfrac{0.39 (1-0.39)}{400} }[/tex]
[tex]\sigma_{\hat p} =0.0244[/tex]
The test statistics can be computed as:
[tex]Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}[/tex]
[tex]Z = \dfrac{0.3 - 0.39 }{0.0244}[/tex]
[tex]Z = -3.69[/tex]
From the z - tables;
[tex]P (\hat p \le 0.3 ) = P(z \le -3.69)[/tex]
[tex]\mathbf{P (\hat p \le 0.3 ) = 0.0001}[/tex]
(c) The effect of the sample size on the sampling distribution is that:
As sample size builds up, the standard deviation of the sampling distribution decreases.
In addition to that, reduction in the standard deviation resulted in increases in the Z score, and the probability of having a sample proportion that is less than 30% also decreases.
There are 250 students in a school auditorium.
Complete the table below.
Answer:
first box is 60
second box is 103
third box is 50
last box is 103
Step-by-step explanation:
Suppose there is a simple index of three stocks, stock X, stock Y, and stock Z.
Stock X opens the day with 5000 shares at $4.30 per share. Stock Y opens
the day with 2000 shares at $3.20 per share. Stock Z opens the day with 8000
shares at $4.90 per share. This simple index rises 4.9% over the course of the
day. What is the value of the index at the end of the day? Round your answer
to the nearest hundred.
A. $68,700
B. $67,100
C. $70,400
D. $68,300
Answer:
C
Step-by-step explanation:
so the first one ends at 4.7107
the second- 3.3568
the third- 5.1401
and multiplying the first by 5000 we get- 23,553.5
for the second we get -6,713.6
for the third we get 41,120
adding them all together we get 71,387.1
and so C is the closest
The value of the index at the end of the day should be considered as the $70,400.
Calculation of the value of the index:Since
Stock X opens the day with 5000 shares at $4.30 per share.
Stock Y opens the day with 2000 shares at $3.20 per share.
Stock Z opens the day with 8000 shares at $4.90 per share.
This simple index rises 4.9% over the course of the day.
So ,
[tex]= (5,000 \times \$3.4) + (2,000 \times \$3.20) + (8,000 \times $4.90) * 1.0.49[/tex]
= $70,400
hence, The value of the index at the end of the day should be considered as the $70,400.
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What is the y-intercept of y = –2x+6?
Answer:
thw y intercept iz 6 and the z
slope is -2x
Step-by-step explanation:
hope this helps
Answer: y = 6
Step-by-step explanation:
1. Let y = 0 to find the x-intercept(s).
0=-2 x +6
2. Subtract 6 from both sides.
- 6 = - 2 x
3. Divide both sides by -2.
-6/-2 = x
4. Two negatives make a positive so 6/2 = x
5. Simplify 6/2 to 3.
3 = x
6. Switch sides.
x = 3
2. y-Intercept
1. Let x = 0 to find the y-intercept(s).
y = -2 x 0+6
2. Simplify and get y = 6
11 2/8 - 5 1/2 • 1 2/3 + 1 1/4
Answer:
[tex]3\frac{1}{3} = \frac{10}{3} = 3.333333333[/tex]
Step-by-step explanation:
Hope this helps.
A bus and a truck leave a gas station at the same time and are headed to the same destination. If the bus traveled 300 miles in 6 hours, and the truck traveled 200 miles in 4 hours, who is on pace to reach the destination first?
they will reach at the same time.
Step-by-step explanation:
first we need to find out total Miles covered by bus and truck per hour,
so,
300÷6=50 miles per hour
200÷4=50 miles per hour
so they both will reach at the same time.
hope this will help you
thanx a lot
evaluate 75% of 3/4.........................
#The 75% of 3/4?
#Just times it.
Way to do75/100 × 3/4 = 225/400 =9/16
#so, the 75% of 3/4 is 9/16
The equivalent value of the percentage is A = 9/16 = 0.5625 = 56.25 %
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first fraction be represented as p
Let the percentage be represented as q
Now , A = pq
when the value of p = 3/4
And , when the value of q =75 %
On simplifying the equation , we get
A = ( 75 % ) ( 3/4 )
So , the left hand side of the equation is equated to the right hand side by the value of ( 75 % ) ( 3/4 )
Now , the value of 75 percentage = 3/4
A = ( 3/4 ) ( 3/4 )
A = 9/16
On simplifying , we get
Multiply by 3 on the fraction , we get
A = 0.5625
Therefore , the value of A = 9/16
Hence , the fraction is A = 9/16
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What is the sum
X+
1
دیا |
x
100
Uw
x+
ოjთ
3 5
O 5*+
3 7
X+
8
Answer:
use photo math lol
Step-by-step explanation:
Find two angles (in radians) whose sine ratio is...
Hi there!
[tex]\large\boxed{\frac{\pi}{3} \text{ and } \frac{2\pi}{3}}[/tex]
From the unit circle, we can locate the two values of sine Ф (y-value of the coordinate) at which sin Ф = √3/2.
The two values are Ф = π/3 and 2π/3.
A sheet of standard U.S. typing paper measures 8.50 in by 11 in. What is its area in square centimeters? (Area =L x W)
Answer:
the area would be 935cm
Step-by-step explanation:
ty for reading :P
603.2246 square centimeters.
The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second number?
A. The equation that represents this situation is x − 3 = 21. The second number is 24.
B. The equation that represents this situation is 3x = 21. The second number is 7.
C.The equation that represents this situation is -3x = 21. The second number is -7.
D.The equation that represents this situation is -3 + x = 21. The second number is 18.
Answer:
C
Step-by-step explanation:
The sum of twice a number and 15 is 9
[tex] \huge \purple{\tt{Answer:}} [/tex]
Let the unknown number be x .
[tex] \Large{\underline{\sf{According~to~question}}} [/tex]
[tex] \sf {2x+15=9} \\\\\ \implies \sf{2x=9-15} \\\\\ \implies \sf {2x=-6} [/tex]
[tex] \implies {\sf {x ={ \dfrac{ - 6}{2}}}} \\\\\ \implies \sf{x=-3} [/tex]
good review if you answer with the right answer
Answer:
top left choice
Step-by-step explanation:
the slope is negative, so its flipped
the y int is -6, below the x axis
Answer:
Graph A (the top left)
Step-by-step explanation:
The correct graph has to have a negative slope. So this narrows the options down to either A (top left) or B (top right). The y-intercept has to be negative, and out of A and B, only Graph A meets this requirement.
Hope it helps!
on a
A line containing the points (0, 2) and (3,4) is graphed
coordinate grid, as shown below.
Answer:
y = 2/3x +2
Step-by-step explanation:
Equation to mx+c
Rise over run = 2/3 is step one
m = rise over run
x = x value
c = y intercept
Consider the system of equations 5x + y = 9 and 4x - y =18 what is the value of the x-coordinate of the solution
Answer:
[tex]\left \{ {{5x+y=9} \atop {4x-y=18}} \right.\\\\=>\left \{ {{5x+4x=9+18} \atop {y=4x-18}} \right.\\\\<=>\left \{ {{9x=27} \atop {y=4x-18}} \right.\\\\<=>\left \{ {{x=3} \atop {y=4x-18}} \right.[/tex]
=> the value of the x-coordinate is 3
Step-by-step explanation:
when x is divided by 9, the remainder is 7. What is the remainder when x+4 is divided by 9
Answer:
First i always use khan academy
Step-by-step explanation:
Select the equivalent expression . ( 8^ -5 2^ -2 )^ -4 =?
Answer:
b. 1/8×2²
Step-by-step explanation:
[wrote the explanation in ur previous question]
Question 1
4+ (-3) + (-2) ?
Which of the following diagrams correctly represent
Answer:
4-3-2
-1
Step-by-step explanation: