Problem 1
Answer: 7.3Explanation: Apply the square root to the area to get the side length. This only applies to areas that are squares (hence the name).
==================================================
Problem 2
Answer: C) 1.3Explanation: Use your calculator to find that choices A,B,D plugged into the square root function yield terminating decimal values. "Terminating" means "stop". This implies that they are perfect squares (though not perfect squares in the sense of whole number perfect squares which you may be used to). Choice C is the only value that has a square root that leads to a non-terminating decimal. The digits of this decimal go on forever without any pattern. The value is irrational.
sqrt(5.29) = 2.3 terminating decimalsqrt(13.69) = 3.7 terminating decimalsqrt(1.3) = 1.140175425 keeps going forever without any patternsqrt(0.09) = 0.3 terminating decimal==================================================
Problem 3
Answer: 23.6 feet approximatelyExplanation: Apply the square root to 15.5 to get roughly 3.937; this is the approximate side length of one square. Six of these tiles placed together will lead to a total length of roughly 6*3.937 = 23.622 which rounds to 23.6 feet. Like with problem 1, the square root being used like this only works for square areas.
Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 1818 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.140.14 oz, and they appear to be from a normally distributed population. If the workers want the filling process to work so that almost all cans have volumes between 12.0212.02 oz and 12.6612.66 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.160.16 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.160.16 oz. Use a 0.010.01 significance level. Complete parts (a) through (d) below.
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 18 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.14 oz, and they appear to be from a normally distributed population.
If the workers want the filling process to work so that almost all cans have volumes between 12.02 oz and 12.66 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.16 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.16 oz. Use a 0.01 significance level. Complete parts (a) through (d) below.
a. Identify the null and alternative hypotheses.
b. Compute the test statistic.
c. Find the p-value.
d. State the conclusion.
Answer:
Null hypotheses = H₀: σ = 0.16 oz
Alternate hypotheses = H₁: σ < 0.16 oz
Critical value = 6.408
Chi-square value = [tex]\chi^2[/tex] = 13.016
Reject H₀ Since [tex]\chi^2[/tex] > Critical value
Reject H₀ Since p-value ≤ α
We have significant evidence at given significance level that the population of volumes has a standard deviation of less than 0.16 oz.
Step-by-step explanation:
Set up hypotheses:
The null hypotheses is that the population of volumes has a standard deviation of 0.16 oz
Null hypotheses = H₀: σ = 0.16 oz
The claim to be tested is that the population of volumes has a standard deviation of less than 0.16 oz
Alternate hypotheses = H₁: σ < 0.16 oz
Determine type of test:
Since the alternate hypothesis states that the population of volumes has a standard deviation of less than 0.16 oz, therefore we will use a lower-tailed chi-square test.
Determine the Critical value:
Given level of significance = 0.01
Since it is a lower-tailed test, the areas given in the chi-square table are the areas to the right of the critical value. To get the areas on the left, subtract it from one, and then look it up
α = 1 - 0.01 = 0.99
degree of freedom = df = n - 1 = 18 - 1 = 17
The critical value from the chi-square table at α = 0.99 and df = 17 is found to be
Critical value = 6.408
Using an online “chi-square p-value calculator”
The left tail p-value for df = 17 and Critical value = 6.408 is found to be
p-value = 0.01
Set up decision rule:
Reject H₀ If > Critical value
We reject the Null hypothesis If the calculated chi-square value is more than the critical value.
OR
Reject H₀ If p-value ≤ α
Compute the test statistic:
[tex]$ \chi^2 = \frac{(n-1) s^2}{\sigma^2} } $[/tex]
[tex]$ \chi^2 = \frac{(18-1) 0.14^2}{0.16^2} } $[/tex]
[tex]\chi^2 = 13.016[/tex]
Conclusion:
We reject H₀
Since [tex]\chi^2[/tex] > Critical value
13.016 > 6.408
Also
p-value ≤ α
0.01 ≤ 0.01
We have significant evidence at given significance level that the population of volumes has a standard deviation of less than 0.16 oz.
An object falls 18ft in 2 seconds. Knowing the distance varies directly with the square of the time of the fall how long does it take an object to fall 79 feet
Answer:
t=4.19 seconds
Step-by-step explanation:
Distance varies directly with the square of the time of the fall
It means,
D=kt^2
18ft in 2 seconds
D=kt^2
18=k*2^2
18=4k
k=18/4
=9/2
k=9/2
D=kt^2
D=79feet
79=9/2t^2
t^2=79÷9/2
t^2=79×2/9
=158/9
t=√158/√9
t=12.57/3
t=4.19 seconds
What numbers multiplied by themselves give the following: 4 36 64 121
Answer:
2, 6, 8, 11
Step-by-step explanation:
A number multiplied by itself gives a perfect square.
4 = 2²
36 = 6²
64 = 8²
121 = 11²
The numbers multiplied by itself that will give 4, 36, 64, 121 are 2, 6, 8 and 11 respectively
These are perfect squares number, such as
4, 9, 16, 25, 36 etc
4 = 2 × 2 = 2²
36 = 6 × 6 = 6²
64 = 8 × 8 = 8²
121 = 11 × 11 = 11²
other examples of perfect squares are
1 × 1 = 1 = 1²
3 × 3 = 9 = 3²
4 × 4 = 16 = 4²
5 × 5 = 25 = 5²
7 × 7 = 49 = 7²
9 × 9 = 81 = 9²
10 × 10 = 100 = 10²
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What is the value of r in the equation?
-1.5(4-1)=-12
-6
Answer:
-4
Step-by-step explanation:
-1.5 (4-r) = -12 Distribute the -1.5.
-6 - 1.5r = -12 Add 6 to both sides.
-1.5r = 6 Divide both sides by -1.5.
r = -4
Answer:
[tex] \boxed{\sf r = - 4} [/tex]
Step-by-step explanation:
[tex] \sf Solve \: for \: r: \\ \sf \implies - 1.5(4 - r) = - 12 \\ \\ \sf Divide \: both \: sides \: of \: - 1.5(4 - r) = - 12 \: by \: - 1.5 : \\ \sf \implies \frac{ - 1.5(4 - r)}{ - 1.5} = \frac{ - 12}{ - 1.5} \\ \\ \sf \frac{ \cancel{ - 1.5}}{ \cancel{ - 1.5}} = 1 : \\ \sf \implies 4 - r = \frac{ - 20}{ - 1.5} \\ \\ \sf \frac{ - 20}{ - 1.5} = 8 : \\ \sf \implies 4 - r = 8 \\ \\ \sf Subtract \: 4 \: from \: both \: sides: \\ \sf \implies (4 - \boxed{ \sf 4}) - r = 8 - \boxed{ \sf 4} \\ \\ \sf 4 - 4 = 0 : \\ \sf \implies - r = 8 - 4 \\ \\ \sf 8 - 4 = 4 : \\ \sf \implies - r = \boxed{ \sf 4} \\ \\ \sf Multiply \: both \: sides \: of - r = 4 \: by \: - 1: \\ \sf \implies - r \times ( - 1) = 4 \times ( - 1) \\ \\ \sf - r \times ( - 1) = r : \\ \sf \implies r = 4 \times ( - 1) \\ \\ \sf \implies r = - 4[/tex]
Approximate the stationary matrix S for the transition matrix P by computing powers of the transition matrix P. Pequalsleft bracket Start 2 By 2 Matrix 1st Row 1st Column 0.38 2nd Column 0.62 2nd Row 1st Column 0.24 2nd Column 0.76 EndMatrix right bracket
Answer:
The stationary matrix is:
S = [0.2791, 0.7209]
Step-by-step explanation:
The transition matrix, P is:
[tex]P=\left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right][/tex]
The stationary matrix S for the transition matrix P would be obtained by computing k powers of P until all the two rows of P are identical.
Compute P² as follows:
[tex]P^{2}=\left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right][/tex]
[tex]=\left[\begin{array}{cc}0.2932&0.7068\\0.2736&0.7264\end{array}\right][/tex]
Compute P³ as follows:
[tex]P^{3}=P^{2}\times P[/tex]
[tex]=\left[\begin{array}{cc}0.2932&0.7068\\0.2736&0.7264\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2810&0.7190\\0.2783&0.7217\end{array}\right][/tex]
Compute P⁴ as follows:
[tex]P^{4}=P^{3}\times P[/tex]
[tex]=\left[\begin{array}{cc}0.2810&0.7190\\0.2783&0.7217\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2793&0.7207\\0.2790&0.7210\end{array}\right][/tex]
Compute P⁵ as follows:
[tex]P^{5}=P^{4}\times P[/tex]
[tex]=\left[\begin{array}{cc}0.2793&0.7207\\0.2790&0.7210\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2791&0.7209\\0.2791&0.7209\end{array}\right][/tex]
For k = 5, we get both the rows identical.
The stationary matrix is:
S = [0.2791, 0.7209]
I need help please. Which graph shows y=⌊x⌋+2?
Answer: Top right graph.
Step-by-step explanation:
The function ⌊x⌋ rounds the value x to the lower whole number.
for example:
⌊1.5⌋ = 1
⌊1.923⌋ = 1
⌊2.0⌋ = 2
then, the graph of ⌊x⌋ will be a black dot in the each whole number, and a horizontal segment to the right that ends with a white dot in the next whole number. Right above the white dot, we have another black dot, and it repeats.
if we have ⌊x⌋ + 2, we move te previous graph 2 units upwards, then the correct option is the top right graph.
You can check some points if you like:
f(0) = ⌊0⌋ + 2 = 2
f(0.5) = ⌊0.5⌋ + 2 = 2
f(1) = ⌊1⌋ + 2 = 3
So in x = 0 we have a black dot in y = 2, and in x = 1 we have a white dot in y = 2 and a black dot in y = 3.
Answer:
c
Step-by-step explanation:
because Ax+Bx=Cx^2
pleassseeeeee help pleaseeeeeeeeeeeee help
Answer:
The picture is attached!
Step-by-step explanation:
For c, the last bracket said (y=6) and I assumed that it is (y+6).
If it is (y-6), the answer would change, so please tell me if I am wrong.
But the rest, I hope it helps, if you have any questions, please feel free to ask me:)
BRAINLIEST would help me a lot:)
Let y=5x_1+3x_2+〖9x〗_3 find Mean and variance of y. Where x_1,x_2 and〖 x〗_3 are independent uniform random variable with parameter of x_(1 ) as [2:4] for x_2 as [5:10] and for x_3 as [0:4]?
Answer:
Mean value = 55.5
Step-by-step explanation:
Y = 5X1 + 3X2 + 9X3
CASE 1:
X1 = 2, X2 = 5, X3 = 0
Y = 5(2) +3(5) + 9(0) = 10 + 15 + 0 = 25
CASE 2:
X1 = 4, X2 = 10, X3 = 4
Y = 5(4) + 3(10) + 9(4) = 20+30+36 = 86
The mean value of Y is (25 + 86)/2 = 55.5
The variance from the mean is 30.5
The system of equations is solved using the linear combination method. StartLayout 1st row 1st column one-half x + 4 y = 8 right-arrow 2nd column negative 2 (one-half x + 4 y = 8) right-arrow 3rd column negative x minus 8 y = negative 16 2nd row 1st column 3 x + 24 y = 12 right-arrow 2nd column one-third (3 x + 24 y = 12) right arrow x + 8 y = 4 with Bar Underscript 3rd row 3rd column 0 = negative 12 EndLayout What does 0 = −12 mean regarding the solution to the system? There are no solutions to the system because the equations represent parallel lines. There are no solutions to the system because the equations represent the same line. There are infinitely many solutions to the system because the equations represent parallel lines. There are infinitely many solutions to the system because the equations represent the same line.
Answer:
A
Step-by-step explanation:
Since combining the equations will result to 0 = -12, it means that there are: A. no solutions to the system because the linear equations represent parallel lines.
Equations of Parallel LinesA linear equation, where m is the slope and b is the y-intercept, can be represented as y = mx + b.The slope of two lines that are parallel to each other is always the same.Solution of two linear equations is the point where the line of the two linear equations intersect.Therefore, since the system of linear equations given have the same slope, the lines of both equations are parallel and cannot intersect.
Thus, since combining the equations will result to 0 = -12, it means that there are: A. no solutions to the system because the linear equations represent parallel lines.
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If m∠VWA=120∘ and m∠BWC=(32x−27)∘, what is the value of x?
Answer:
Value of x = 4.6 (Approx)
Step-by-step explanation:
Note:
The statement in given question is missing that both angles are congruent.
Given:
m∠VWA = 120°
m∠BWC = (32 x - 27)°
Find:
Value of x
Computation:
We know that,
⇒ m∠VWA = m∠BWC
⇒ 120 = 32x - 27
⇒ 120 + 27 = 32x
⇒ 147 = 32x
⇒ x = 147 / 32
⇒ x = 4.59375
x = 4.6 (Approx)
Pleas answer this in two minutes
Answer: x=5, y=7
Step-by-step explanation:
Since ΔEFG and ΔHIJ are congruent, we can set the corresponding sides equal to each other.
y+14=3y [subtract both sides by y]
14=2y [divide both sides by 2]
y=7
------------------------------------------------------------------------------------
10x=x+45 [subtract both sides by x]
9x=45 [divide both sides by 9]
x=5
Which option or options is correct?
All of them are true.
A: Rule.
B: There exist such functions f and g that satisfy the equality.
C: According to (A) this is acceptable.
D: Rule.
Hope this helps.
Answer:
D part
Step-by-step explanation:
Which equation can be used to find the measure of angle BAC? tan−1(StartFraction 5 Over 12 EndFraction) = x tan−1(StartFraction 12 Over 5 EndFraction) = x cos−1(StartFraction 12 Over 13 EndFraction) = x cos−1(StartFraction 13 Over 12 EndFraction) = x
Answer:
tan−1(StartFraction 12 Over 5 EndFraction) = x
Step-by-step explanation:
The measure of the angle x in the right triangle ABC is equal to
Scenario A) Using cos
Cos x=adjacent/hypotenuse
=AC/AB
=5/13
x=cos x^-1=5/13
Scenario B) using sin
Sin x=opposite/hypotenuse
=BC/AB
=12/13
x=sin x^-1=12/13
Scenario C). Using tan
tan x=opposite/adjacent
=BC/AC
=12/5
x=tan x^-1=12/5
tan−1(StartFraction 12 Over 5 EndFraction) = x
The correct answer is option B which is [tex]tan^-1(\dfrac{12}{5})=x[/tex]
What is trigonometry?Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
The measure of the angle x in the right triangle ABC is equal to
Scenario A)
Using cos
Cos x =adjacent/hypotenuse
Cos x = AC/AB
Cos x = 5/13
x = cos x^-1 = 5/13
Scenario B)
using sin
Sin x = opposite/hypotenuse
Sin x = BC/AB
Sin x = 12/13
x=sin x^-1=12/13
Scenario C).
Using tan
tan x =opposite/adjacent
tan x =BC/AC
tan x =12/5
x = tan x^-1=12/5
From the figure attached, we can see that the angle BAC will be[tex]tan^-1(\dfrac{12}{5})=x[/tex].
Therefore the correct answer is option B which is [tex]tan^-1(\dfrac{12}{5})=x[/tex]
The complete image of the triangle is attached with the answer below.
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The equations 2 x minus y = negative 2, 3 x + 2 y = 5, 4 x minus y = 2, and 22 x + 10 y = 7 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, 2.5) and (1.75, 0). Blue line goes through (0.5, 0) and (1, 2). Pink line goes through (negative 1, 0), and (0, 2). Purple line goes through (negative 0.75, 2.5) and (0, 0.75). Which system of equations has a solution of approximately (–0.3, 1.4)? 2 x minus y = negative 2 and 22 x + 10 y = 7 3 x + 2 y = 5 and 4 x minus y = 2 4 x minus y = 2 and 22 x + 10 y = 7 2 x minus y = negative 2 and 3 x + 2 y = 5
Answer:
2 x - y = - 2 and 22 x + 10 y = 7
Step-by-step explanation:
To find the equation to produce a solution of approximately (–0.3, 1.4), we have to solve the equations simultaneously.
a) For line 2 x - y = - 2 and 22 x + 10 y = 7
Multiply line 1 by 10 to give : 20x - 10y = -20
Add 20x - 10y = -20 and 22 x + 10 y = 7 to get:
42x = -13
x = -13/42 = -0.3
Put x = -0.3 in 2 x - y = - 2 to get:
2(-0.3) - y = - 2
-0.6 - y = -2
y = 2 - 0.6 = 1.4
x = - 0.3 and y = 1.4
This is the correct option
b) For line 3 x + 2 y = 5 and 4 x - y = 2
Multiply line 2 by 2 to give : 8x - 2y = 8
Add 8x - 2y = 48 and 3 x + 2 y = 5 to get:
11x = 13
x = 13/11 = 1.2
Put x = 1.2 in 3 x + 2 y = 5 to get:
3 (1.2) + 2 y = 5
y = 1.4
x = 1.2 and y = 1.4
c) For line 4 x - y = 2 and 22 x + 10 y = 7
Multiply line 1 by 10 to give : 40x - 10y = 20
Add 40x - 10y = 20 and 22 x + 10 y = 7 to get:
62x = 27
x = 0.44
Put x = 0.44 in 4x - y = 2 to get:
y = -0.24
d) For line 2 x - y = - 2 and 3 x + 2 y = 5
Multiply line 1 by 2 to give : 4x - 2y = -4
Add 4x - 2y = -4 and 3x + 2 y = 5 to get:
7x = 1
x = 0.14
Put x = 0.14 in 2 x - y = - 2 to get:
y = 2.28
Answer:
it's A
Step-by-step explanation:
i took the test
The Owens family has saved up $50,000 for a down pay
saved up $50,000 for a down payment on a house. They are
going to use this money as the 10% down payment their lender is req
make to purchase the house. What is the price of the ne
eune house. What is the price of the house that the Owens family
is buying?
Answer:
Step-by-step explanation:
Let the price of the house be P .
10 % of P is demanded as down payment
10 % of P = P x 10 / 100
= P / 10
This down-payment = 50000
P / 10 = 50000
P = $5,00,000 .
Price of house = $5,00,000
Vikas is the head of student council this year at his high school in London. He is responsible for planning the annual graduation trip to Canada’s Wonderland. The students will spend one full day at the park and return late that evening. The school has rented a bus for transportation. The entry fee into the park is $50 and the bus costs $600. Write an equation to relate the cost, C, in dollars to the number of student, s, who participate in this fun trip.
Answer:
C = 600 + 50s
Step-by-step explanation:
The students are planning to visits the Canada's wonderland. The students will spend a full day at the park.
The entry fee for each student is $50 and the bus cost is $600. Each student will pay $50 for entry into the park.
Let
the number of student = s
cost of the trip = C
Relating the variable C and s
The total amount of money the student will pay for entry fee = 50 × s = 50s
Therefore, cost of the trip can be expressed as follows
C = 600 + 50s
The local hospital offers an incentive for nurses to work longer shifts. After a regular 8-hour shift, they can make double time on the remainder of their shift. That is, they make twice their salary for each hour they work over 8 hours. Nurse Jane works 12 hour shifts Monday through Friday. Her weekly gross income is $2136.00, what is her base salary?
Answer:
$26.70/hour
Step-by-step explanation:
Let's look at 1 day.
She works a 12 hour shift. For the first 8 hours, she receives her regular hourly salary. That means 8 hours of pay at her regular hourly salary.
Then she works another 4 hours at her overtime pay. Her overtime pay is twice her regular salary, so the extra 4 hours at overtime pay are paid as if they were 8 hours of regular work. In effect, she is earning 16 hours of regular pay per day.
Monday through Friday means 5 days of work per week.
5 days/week * 16 hours/day = 80 hours/week
She is earning as if she were working 80 hours of regular pay per week.
base salary = (gross weekly income)/(effective number of hours in 1 week)
base salary = $2136/80
base salary = $26.70/hour
The angles in a triangle are
in the ratio 1:5:6. Work out the
angles in degrees.
Answer:
The angles are 15,75,90
Step-by-step explanation:
Multiply the ratio by x
1x:5x: 6x
The sum of the angles of a triangle are 180
1x+5x+6x = 180
Combine like terms
12x = 180
Divide by 12
12x/12 = 180/12
x =15
Multiply by 15
1*15 : 5*15: 6*15
15: 75:90
12: 60: 72
20 points and brainliest!
Tree Diagrams
1. For what type of situation is a tree diagram a suitable way to organize information?
2. Explain how to read a tree diagram to determine the possible outcomes for that situation.
Answer: Use a tree diagram for conditional probability
The first branch lists the elements in the starting field-- how many items or outcomes. Like heads or tails, how many of each color of marbles or socks, etc. The next branch shows the set of outcomes from the first event and what is available for the next event. The branches are labeled with fractions to tell the chances of each outcome.
Step-by-step explanation:
A tree diagram is good for determining probability when there are multiple steps in the "draw" and multiple outcomes-- sometimes chances of event a and b "this and that" or event a or b "this or that"
You use the fractions on each branch to calculate the final outcome. If it's a and b, you multiply the fractions on each "trail" you follow through the branches to get the defined final outcome.
If it is a or b, you add the fractions to get the probability of the defined final outcome.
In order to clear out room for new merchandise, James decided to mark down some of the items for sale in his electronics store. He marked down DVD players by 36%, and he marked down stereo tuners by 22%. If DVD players cost $41.60 after the markdown and stereo tuners cost $69.42 after the markdown, which item’s price was reduced by more, and by how many dollars more was it reduced? Round all dollar values to the nearest cent.
Answer:
a) Which item’s price was reduced by more, and by how many dollars more was it reduced?
The DVD player's price was reduced more by $3.82 than the stereo tuner's price.
b) Round all dollar values to the nearest cent.
Rounding $3.82 dollars to the nearest cents
$1 = 100 cents
$3.82 =
3.82 × 100 cents
= 382 cents
The DVD player's price was reduced by 382 cents more than the stereo tuner's price
Step-by-step explanation:
Lets day the original price of the DVD player was $100
We are told the price was marked down to 36%
36% of $100 = $36
$100 - $36 = $64
We are told the DVD cost $41.60 after the markdown.
Original cost of DVD =
$41.60/$64 × 100 = $65
Lets the original price of the Stereo player was $100
We are told the price was marked down to 22%
22% of $100 = $22
$100 - $22 = $78
We are told the DVD cost $69.42 after the markdown.
Original cost of Stereo =
$69.42/$78 × 100 = $89
DVD = $65 - $41.60 = $23.40 less
Stereo = $89 - 69.42 = $19.58 less
Difference between the DVD and the Stereo is
$23.40 - $19.58 = $3.82
Therefore,the DVD player's price was reduced by $3.82 more than the stereo tuner's price
Rounding $3.82 dollars to the nearest cents
$1 = 100 cents
$3.82 =
3.82 × 100 cents
= 382 cents
Answer:
The answer is A on edg 2020
Step-by-step explanation:
Someone help please!!!!! :(
(Edit: The answer was 126. )
Answer:
a
Step-by-step explanation:
Please help and show work ..... need fast ... college algebra The half-life for thorium-227 is 18.72 days. The amount A (in grams) of thorium-227 after t days for a 10-gram sample is given by A(t)=10⋅0.5^t/18.72 How long will it take before 1 grams of thorium-227 is left in the sample? Round your answer to the hundredths place. days
Answer:
62.17 days
Step-by-step explanation:
The computation of the number of days is shown below:
Given that
A(t)=10 × 0.5^(t ÷ 18.72)
1 = 10 × 0.5 ^ (t ÷ 18.72)
0.1 = 0.5 ^ (t ÷ 18.72)
Now consider the log in both sides
ln(0.1) = ln(0.5)^ (t ÷ 18.72)
ln(0.1) ÷ ln(0.5) = (t ÷ 18.72)
3.321928095 = (t ÷ 18.72)
So, t = 62.17 days
With the help of log, we can easily compute it
Evaluate 4x² + 2xy for x = 5 and y = 2.
Hey there! :)
Answer:
120.
Step-by-step explanation:
Substitute in 5 for x and 2 for y into the expression 4x² + 2xy:
4(5)² + 2(5)(2) =
4(25) + 2(10) =
100 + 20 =
120.
What statements is equal to the expression p\11
Answer: "p divided by 11" or "p over 11" or "p by 11".
Step-by-step explanation:
We use mathematical statements to express any algebraic expression.
For example: We write 2x as "2 is multiplied by x " or " product of 2 and x".
p+q as "sum of p and q" or "p is added to q"
The given expression is : [tex]\dfrac{p}{11}[/tex]
In mathematical statements, it can be written as "p divided by 11" or "p over 11" or "p by 11".
Hence, the statements are equal to the expression [tex]\dfrac{p}{11}[/tex] are "p divided by 11" or "p over 11" or "p by 11".
Denise bought a box of 560 pieces of candy.4/5 of the pieces of the candy were fruity and 1/4 of the remaining pieces of candy were mint.How many of candy of the other flavors were there?
Answer:
Number of Other flavor candy is 84.
Step-by-step explanation:
Given that
A total of 560 pieces of candy are there in the box.
[tex]\frac{4}{5}[/tex] of the pieces are fruity.
Number of Fruity pieces:
[tex]\dfrac{4}{5} \times 560\\\Rightarrow 4 \times 112 =448[/tex]
Now, remaining pieces = Total pieces - Fruity pieces
remaining pieces = 560 - 448 = 112
Also given that [tex]\frac{1}4[/tex] of the remaining pieces are mind.
Number of mint pieces:
[tex]\dfrac{1}{4}\times 112 = 28[/tex]
Other flavors remaining = Total pieces - Fruity pieces - Mint pieces
Other flavors remaining = 560 - 448 - 28
Other flavors remaining = 112 - 28 = 84
Number of Other flavor candy is 84.
Rosa thinks of a number. She rounds it to the nearest thousand and gets 35,000. When rounded to the nearest hundred, the rounded value is greater than the original number. Which choice could be Rosa's number?
Hey there! The answer will be below
B is the correct answer
Because in B the last 3 numbers are 500 (estimate) so 34,500 would be rounded to 35,000.Plus B makes the most sense.
Hope that helps!
By: xBrainly
In 8 years, a girl will be 3 years older than twice her present age. How old is she now
Answer:
5
Step-by-step explanation:
You can express this as a system of equations:
x in this instance will be her present age.
x + 8 = 2x + 3
simply solve for x after this by subtracting three and x from both sides, and you’ll find that x is 5.
Can you guys help me answer these questions?
Answer:
1 and 2 have already been done.
See below for the answers to 4 to 6.
Step-by-step explanation:
7. Finding the limit as x --> 2 of the function:
(2^(x + 2) - 16) / (4^x -16)
= 4(2^x - 4) / (2^x -4)(2^x + 4)
= 4 / (2^x + 4)
When x = 2 this = 4/8 = 0.5
The limit is the same whether you approach 2 from below or above.
So k = 0.5.
can i have help with these questions
Answer:
(-3, 5), (-1, -1), (5, -3)
Step-by-step explanation:
Each pair of vertices can be one of the diagonals. Then the missing point will be found at the coordinates that are the sum of those, less the coordinates of the third point.
Given points are ...
A(-2, 2), B(1, 1), C(2, -2)
For AB a diagonal, D1 is ...
A+B-C = (-2+1-2, 2+1-(-2)) = (-3, 5)
For AC a diagonal, D2 is ...
A+C-B = (-2+2-1, 2-2-1) = (-1, -1)
For BC a diagonal, D3 is ...
B+C-A = (1+2-(-2), 1-2-2) = (5, -3)
_____
For a lot of parallelogram problems I find it easiest to work with the fact that the diagonals bisect each other. This means they both have the same midpoint, so for quadrilateral ABCD, we have (A+C)/2 = (B+D)/2. Multiplying this by 2 gives the equation we used above, A+C = B+D, so D=A+C-B. Remember, in ABCD, AC and BD are the diagonals.
Answer:
Answer:
(-3, 5), (-1, -1), (5, -3)
Step-by-step explanation:
Each pair of vertices can be one of the diagonals. Then the missing point will be found at the coordinates that are the sum of those, less the coordinates of the third point.
Given points are ...
A(-2, 2), B(1, 1), C(2, -2)
For AB a diagonal, D1 is ...
A+B-C = (-2+1-2, 2+1-(-2)) = (-3, 5)
For AC a diagonal, D2 is ...
A+C-B = (-2+2-1, 2-2-1) = (-1, -1)
For BC a diagonal, D3 is ...
B+C-A = (1+2-(-2), 1-2-2) = (5, -3)
_____
For a lot of parallelogram problems I find it easiest to work with the fact that the diagonals bisect each other. This means they both have the same midpoint, so for quadrilateral ABCD, we have (A+C)/2 = (B+D)/2. Multiplying this by 2 gives the equation we used above, A+C = B+D, so D=A+C-B. Remember, in ABCD, AC and BD are the diagonals.
Thanks for everything have a good day
If 40% of the total population of a particular town of 2500 are HIV positive. How many people are HIV negative.
Answer:
1500 people
Step-by-step explanation:
Since 40% are HIV positive (that's a lot of people), 60% will be HIV negative. All you have to do is find 60% of 2500.
60% of 2500 = 0.6 * 2500 = 6 * 250 = 1500
Hope this helps!