Answers
Answer:
x=-2/3
Step-by-step explanation:
Answer:
x = -2/3
Step-by-step explanation:
don't feel like writing all the fractions but basically isolate the X and the fractions. add them in a calculator divide by the coefficient thats left with x and there you go
Related Questions
reflect (0,3) across the x axis
Answers
Answer: (3,0)
Step-by-step explanation: Since (0,3) is on the y-axis, it is basically a mirror to the x-axis. So, you just flip those numbers around which causes you to get (3,0). Have a nice day!
I need a second degree equation that the solution is 7.10
Answers
This equation is a second degree equation that has a solution of 7.
To find a second degree equation with a solution of 7, we can use the fact that the solutions of a quadratic equation are given by the quadratic formula: x = (-b ± √(b^2 - 4ac))/(2a).
Since we want the solution to be 7, we can set x = 7 in the quadratic formula and solve for the other variables.
First, let's set x = 7 and simplify the equation: 7 = (-b ± √(b^2 - 4ac))/(2a).
Next, let's multiply both sides of the equation by 2a to eliminate the fraction: 14a = -b ± √(b^2 - 4ac).
Now, let's square both sides of the equation to get rid of the square root: (14a)^2 = (-b ± √(b^2 - 4ac))^2.
Expanding both sides of the equation gives: 196a^2 = b^2 ± 2b√(b^2 - 4ac) + (b^2 - 4ac).
Simplifying further, we have: 196a^2 = 2b^2 ± 2b√(b^2 - 4ac) - 4ac.
Now, we can rearrange the equation to have all terms on one side: 2b^2 ± 2b√(b^2 - 4ac) + 4ac - 196a^2 = 0.
In summary, the second degree equation that has a solution of 7 is 2b^2 ± 2b√(b^2 - 4ac) + 4ac - 196a^2 = 0.
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A 12 cm by 16 cm painting hangs in a museum. The museum curator wants to hang other paintings in the gallery that are proportional (ratios which are equivalent) in size. The dimensions of several paintings are shown. Which paintings' dimensions are proportional to the original painting? Select all that apply.
A. 6 cm by 12 cm
B. 15 cm by 20 cm
C. 3 cm by 4 cm
D.6 cm by 9 cm
E. 9 cm by 12 cm
Answers
Answer: 15cm by 20cm
3cm by 4cm
9cm by 12cm
Step-by-step explanation:
From the question, we are informed that a 12 cm by 16 cm painting hangs in a museum. We are given several options and told to choose the paintings' dimensions that are proportional to the original painting. This will be:
12cm by 16cm when divided by 4 gives 3cm by 4cm. This means that we have to look out for the options that are in the ratio 3:4.
A. 6 cm by 12 cm
6cm by 12cm reduced to lowest term gives 1:2
B. 15 cm by 20 cm
15cm by 20cm reduced to lowest term gives 3:4
C. 3 cm by 4 cm
D.6 cm by 9 cm
6cm by 9cm reduced to lowest term gives 2:3.
E. 9 cm by 12 cm
9cm by 12cm reduced to lowest term gives 3:4.
Therefore the correct options are:
15cm by 20cm
3cm by 4cm
9cm by 12cm
Please help, i´m timed!
Answers
Answer: 6/49 positive not negative
Step-by-step explanation:
compute the quotient of 8 and 1 and 2/3
Answers
so the first problem: the quotient of 8/1 is going to be 8 because any number divided by one is itself.
the second problem: 2/3. 3 cannot go into two evenly, so we must put a decimal place and add a 0. 3 can go into 20 6 times with a remainder of 2. however, if we keep adding 0s, we will always get six. so the answer is 0.66666 repeating. this can be rounded to 0.667.
hope this helps!
you own an ice cream shop. every day when you open the shop, there is an x ∼ exp(1/10) random waiting time, in minutes, before the first customer arrives. (i) when the waiting time for the first customer exceeds 20 minutes, it is a bad day. approximate the probability that you will have between 50 and 60 bad days in a year. justify your use of this approximation.
Answers
To approximate the probability of having between 50 and 60 bad days in a year, we can use the Poisson distribution as an approximation.
Let's define the random variable X as the number of bad days in a year. Since the waiting time for the first customer follows an exponential distribution with a rate parameter of 1/10 (mean of 10 minutes), we can consider each day as a Bernoulli trial with a success (bad day) probability of P(X = 1) = P(waiting time > 20 minutes).
The probability of a bad day can be calculated using the exponential distribution as :\(P(X = 1) = ∫[20, ∞] (1/10)e^(-t/10) dt\)
To approximate the number of bad days in a year, we can assume that the number of bad days follows a Poisson distribution with parameter λ = 365 * P(X = 1). The mean and variance of the Poisson distribution are both equal to λ.
Using this approximation, we can calculate the probability of having between 50 and 60 bad days in a year by summing the probabilities of X taking values from 50 to 60 using the Poisson distribution with parameter λ.
This approximation is valid because the Poisson distribution is often used to model rare events with a low probability of occurrence, and in this case, the assumption of independence between the waiting times for different days allows us to use the Poisson distribution.
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Sixty-four percent of voters in a very large electorate support candidate Smith in an upcoming election. A student employee working the evening shift at a telephone survey facility calls voters at random and asks them which candidate they prefer. a. What is the probability that, among five voters the student calls, exactly one supports candidate Smith? b. What is the probability that, among five voters the student calls, at least one supports candidate Smith? c. What is the probability that the first voter supporting candidate Smith is reached on the fifth call, i.e., what is the probability that it takes the student five calls to reach the first voter who supports candidate Smith? d. What is the probability that the third voter supporting candidate Smith is reached on the fifth call, i.e., what is the probability that it takes the student five calls to reach three voters who supports candidate Smith?
Answers
The probabilities are calculated assuming independence of each call and that the success probability remains constant throughout the calls.
a. The probability that, among five voters the student calls, exactly one supports candidate Smith can be calculated using the binomial probability formula. With a success probability of 64% (0.64) and exactly one success (k = 1) out of five trials (n = 5), the probability can be calculated as follows:
\[
P(X = 1) = \binom{5}{1} \times (0.64)^1 \times (1 - 0.64)^4
\]
The calculation results in approximately 0.369, or 36.9%.
b. The probability that, among five voters the student calls, at least one supports candidate Smith can be calculated as the complement of the probability that none of the voters support Smith. Using the binomial probability formula, with a success probability of 64% (0.64) and no success (k = 0) out of five trials (n = 5), the probability can be calculated as follows:
\[
P(X \geq 1) = 1 - P(X = 0) = 1 - \binom{5}{0} \times (0.64)^0 \times (1 - 0.64)^5
\]
The calculation results in approximately 0.997, or 99.7%.
c. The probability that the first voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of not reaching a Smith supporter in the first four calls (0.36) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):
\[
P(\text{{First Smith Supporter on Fifth Call}}) = (1 - 0.64)^4 \times 0.64
\]
The calculation results in approximately 0.014, or 1.4%.
d. The probability that the third voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of reaching two Smith supporters in the first four calls (0.64 for the first call, 0.36 for the second call, and 0.36 for the third call) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):
\[
P(\text{{Third Smith Supporter on Fifth Call}}) = (0.64)^2 \times (1 - 0.64) \times 0.64
\]
The calculation results in approximately 0.147, or 14.7%.
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The probabilities are calculated assuming independence of each call and that the success probability remains constant throughout the calls. The calculation results in approximately 0.369, or 36.9%.
a. The probability that, among five voters the student calls, exactly one supports candidate Smith can be calculated using the binomial probability formula. With a success probability of 64% (0.64) and exactly one success (k = 1) out of five trials (n = 5), the probability can be calculated as follows:
[P(X = 1) = \binom{5}{1} \times (0.64)^1 \times (1 - 0.64)^4\]
The calculation results in approximately 0.369, or 36.9%.
b. The probability that, among five voters the student calls, at least one supports candidate Smith can be calculated as the complement of the probability that none of the voters support Smith. Using the binomial probability formula, with a success probability of 64% (0.64) and no success (k = 0) out of five trials (n = 5), the probability can be calculated as follows:
[P(X \geq 1) = 1 - P(X = 0) = 1 - \binom{5}{0} \times (0.64)^0 \times (1 - 0.64)^5\]
The calculation results in approximately 0.997, or 99.7%.
c. The probability that the first voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of not reaching a Smith supporter in the first four calls (0.36) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):
\[
P(\text{{First Smith Supporter on Fifth Call}}) = (1 - 0.64)^4 \times 0.64
\]
The calculation results in approximately 0.014, or 1.4%.
d. The probability that the third voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of reaching two Smith supporters in the first four calls (0.64 for the first call, 0.36 for the second call, and 0.36 for the third call) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):
\[
P(\text{{Third Smith Supporter on Fifth Call}}) = (0.64)^2 \times (1 - 0.64) \times 0.64
\]
The calculation results in approximately 0.147, or 14.7%.
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A rectangular window is topped with a semicircle. The height of the rectangular part is 1 more than 3 times its width, w meters. Which function represents the total area, A, of the window in terms of the width?
Answers
If a rectangular window is topped with a semicircle and the height of the rectangular part is one more than three times its width "w", then the function that represents the total area of the window (A) can be written as [A(w) = {(3w² + w) + (πw²/8)}].
As per the question statement, a rectangular window is topped with a semicircle, the height of the rectangular part is one more than three times its width, and the width of the rectangle and the total area of the window are denoted by "w" and "A".
We are required to determine a function that represents the total area of the window
To solve this question, first we will have to calculate the area of the rectangular section in terms of "w", and then the area of the semicircular section, and then add these separate areas and equate the summation to "A" to obtain our desired answer.
Given that, the height of the rectangular part is one more than three times its width (w), i.e.,
If we denote the height of the rectangular part as "h", then [h = (3w + 1)],
And area of the rectangular part will be (h * w)
= [(3w + 1) * w]
= (3w² + w)
Also given that, the semicircular section sits on top of the rectangular section. Therefore, the width of the rectangle is the diameter or base of the semicircle,
Or, the radius of the semicircle = (w/2).
Then, the area of the semicircular section will be [{π * (radius)²}/2]
= [{π * (w/2)²}/2]
= [(πw²/4)/2]
= (πw²/8)
Therefore, total area of the window [A(w) = {(3w² + w) + (πw²/8)}]
Rectangle: A rectangle is a parallelogram with right angles at all four of it's interior angles.To learn more about Rectangles and Semicircles, click on the link below.
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Help, please...............
Answers
30: D
31: B? (so sorry if wrong)
32: A
33: C
34: A?
I hope this helped. I'm so sorry if it's incorrect!
show the sine, cosine, and tan of the given triangle
Answers
We have that the sides of a right triangle receive different names depending on the angle we are going to analyze.
The opposite side of the right triangle is the hypotenuse:
And depending on the angle we are going to analyze, one side is that opposite to it and the other side is the adjacent:
Finding the missing sideWe know by the Pythagorean Theorem that:
opposite² + adjacent² = hypotenuse²
In this case
hypotenuse = 20
adjacent = 16
opposite BC
Then
opposite² + adjacent² = hypotenuse²
↓
BC² + 16² = 20²
↓
BC² = 20² - 16²
BC² = 144 = 12²
↓
BC = 12
SineWe have that the Sine formula is:
\(\sin (\text{angle)}=\frac{\text{opposite}}{\text{hypotenuse}}\)In this case:
angle = A
opposite side = 12
hypotenuse = 20
Then,
\(\begin{gathered} \sin (\text{angle)}=\frac{\text{opposite}}{\text{hypotenuse}} \\ \downarrow \\ \sin A=\frac{\text{1}2}{\text{2}0} \end{gathered}\)If we simplify it, we have:
\(\sin A=\frac{\text{1}2}{\text{2}0}=\frac{3}{5}=0.6\)CosineWe have that the Cosine Formula is:
\(\cos (\text{angle)}=\frac{\text{adjacent}}{\text{hypotenuse}}\)In this case:
angle = A
adjacent side = 16
hypotenuse = 20
Then
\(\begin{gathered} \cos (\text{angle)}=\frac{\text{adjacent}}{\text{hypotenuse}} \\ \downarrow \\ \cos A=\frac{16}{20} \end{gathered}\)If we simplify it, we have:
\(\cos A=\frac{\text{1}6}{\text{2}0}=\frac{4}{5}=0.8\)TangentWe have that the Tangent Formula is:
\(\tan (\text{angle)}=\frac{\text{opposite}}{\text{adjacent}}\)In this case:
angle = A
opposite side = 12
adjacent side = 16
\(\begin{gathered} \tan (\text{angle)}=\frac{\text{opposite}}{\text{adjacent}} \\ \downarrow \\ \tan A=\frac{12}{16} \end{gathered}\)If we simplify it, we have:
\(\tan A=\frac{3}{4}=0.75\)AnswerssinA = 0.6
cosA = 0.8
tanA = 0.75
How to work out the medium in maths
Answers
Answer:
To find the median you cross off the first few numbers and the last few until you get to the middle then when you get the middle number that will be your median
Step-by-step explanation:
Answer:
Below.
Step-by-step explanation:
It's the middle value of a list of numbers arranged in order.
For example the median of the list 1 2 3 4 5 is 3.
If there are an even number of values, the median is the mean of the middle two. For example:
1 3 4 5 7 9:
The middle 2 numbers are 4 and 5 so
the median is (4 + 5) / 2 = 4.5
A small truck can hold a total of 40 crates and boxes. For every 3 crates the truck can hold, there is room for 5 boxes. How many crates and boxes are in the truck when it is completely full?
Answers
Answer: There are 25 crates and 15 boxes in the truck when it is full.
Step-by-step explanation:
Let c= Number of crates , b= Number of boxes.
As per given,
\(c+b = 40\) (i)
\(3c=5b\\\\\Rightarow\ c=\dfrac{5b}{3}\) (ii)
Put value of c from (ii) in (i)
\(\dfrac{5b}{3}+b = 40\\\\\Rightarrow\ \dfrac{5b+3b}{3}=40\\\\\Rightarrow\ \dfrac{8b}{3}=40\\\\\Rightarrow\ 8b=3\times40\\\\\Rightarrow\ 8b=120\\\\\Rightarrow\ b=\dfrac{120}{8}=15\)
put value of b in (ii),
\(c=\dfrac{5\times15}{3}=5\times5=25\)
Hence, there are 25 crates and 15 boxes in the truck when it is full.
25 boxes 15 crates
We would get this solution by adding up the two sides comparing the ratios, hence: we get room for 3 crates for every 5 boxes that we can hold in the truck.
What are ratios?A ratio is an ordered pair of numbers a and b, written a:b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. hence, if there is 3 crates and 5 boxes you could write the ratio as: 3 : 5 (for every 3 crates there are 5 boxes) 3 / 5 are boys and 5 / 3 are crates.
The boxes below are two similar solids. Find the value of the missing dimensions and support your answer. YOU MUST SELECT 2 ANSWERS
A) b=9
B) b=18
C) h=9
D) h=18
Answers
Answer:
b is 9 and h is 18
Step-by-step explanation:
because its times 1.5 for each one so like 5 times 1.5 is 7.5 so we can see that it is times by 1.5
Answer:
A) b = 9
D) h = 18
Step-by-step explanation:
b/6 = 7.5/5 = h/12
b/6 = 1.5
b = 9
1.5 = h/12
h = 18
How much does a composition notebook weigh?
Answers
Answer:
11.2 ounces
Step-by-step explanation:
Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauvill
Answers
Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville are given by Mark Green &; Robert Lazarsfeld.
The study of infinitesimal circumstances connected to changing a solution P to a problem to a slightly different solution P, where is a small integer or a vector of small values, is known as deformation theory in mathematics.
When plasticity happens, the deformation theory of plasticity makes an effort to establish a special link between total stresses and strains, however the approach cannot be applied consecutively for cyclic loading scenarios.
The bonds are stretched during this sort of deformation, but the atoms do not slide past one another. It is referred to as plastic deformation when the metal is sufficiently stressed to permanently deform it.
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what is real numbers? explain briefly..
Answers
Answer:
a quantity that can be expressed as an infinite decimal expansion is real number.This includes all integers and all rational and irrational numbers.It can be either positive or negative.it can be either rational and irrational but not both It is demoted by R .Then numbers which are not both rational and irrational are not real numbers.
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16a² − 25?? please help
Answers
Answer:
(4a - 5)(4a + 5)
Step-by-step explanation:
Assuming you require to factor the expression
Given
16a² - 25 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
16a² - 25
= (4a)² - 5²
= (4a - 5)(4a + 5) ← in factored form
Answer100 POINTS! (50 split up) PLSSSSSTO GIVE BRAINLIEST AND FIVE STARS AND A THANKS! 6TH GRADE SCIENCE! i used all my points for this!
You measure the mass of an apple using a balance.
Fill in the blanks with the answer to each question based on information provided.Two toy robots are having a race. Robot A can go 14 meter in 15 seconds. Robot B can go 1 meter in 50 seconds.1) If Robot A continues at that same speed, how long will it take to go 1 meter? Remember units! __________2) How long for Robot A to go 4 meters at that speed? Remember units! _________
Answers
Answer:
1 1/14 seconds4 2/7 secondsStep-by-step explanation:
We are being asked for times, so we can express the rate in terms of seconds per meter.
(15 seconds)/(14 meters) = (15/14) seconds per meter = 1 1/14 seconds/meter
__
1) It will take Robot A 1 1/14 seconds to go 1 meter.
2) it will take Robot A 4 2/7 seconds to go 4 meters. (4 times as long)
$14.40 for 4.5 pounds of beef
Answers
Answer:
One pound of beef is $3.2
Step-by-step explanation:
14.40 / 4.5
= 3.2
CHECK:
3.2 * 4.5
=14.40
Answer:
Step-by-step explanation:
The unit rate for this beef is:
$14.40
---------- = $3.20/lb
4.5 lb
Help asap person to Anwser correct in 5 mins I’ll give brainliest Anwser to
Answers
Number two is 11/2 or 5.5
Number three is undefined
Answer:
\( \frac{3 - 3}{20 - 19} = \frac{0}{1} = 0 = m \\ \frac{ - 4 - 7}{ - 6 - ( - 4)} = \frac{ - 11}{ - 2} = \frac{11}{2} = m \\ \frac{8 - ( - 13)}{17 - 17} = \frac{21}{0} = und\)
\(3^{3} + 6(2 + \frac{3}{6} )\)
Answers
Answer:
24
Step-by-step explanation:
9+6(2+3/6)
9+6(2+1/2)
2+1/2 = 2.5
9+6(2.5)
9+15
24
A triangle has two sides of length 1 and 4. What is the largest possible whole-number length
for the third side?
Answers
Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.
How to Apply the Triangle Inequality Theorem to Find the Length of the Third Side of a Triangle?The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.
So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:
1 + 4 > x
4 + x > 1
1 + x > 4
Simplifying these inequalities, we get:
5 > x
x > 3
x > -3 (this inequality is always true)
The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.
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The average customer at Longhorn Steakhouse spends $26.00 per meal with a
margin of error of 10%. How is the maximum it would cost you if you pay for you
and your date?
$72.00
$57.20
$64.60
$28.60
Answers
$26.00 per meal
You and your date = two people
10%
Work:
26.00 x 2 =52
52 x 10% = 5.2
52 + 5.2 =
$57.20
I hope this helped and was right, have a nice day.
QUESTION 15 Areej invested BD 14000 12 years ago, today this investment is worth BD 52600, based on this what annualized rate has Areej earned on this investment? O 11.66% O 2.75% 17.43% 8.91%
Answers
To calculate the annualized rate of return, we can use the formula for compound interest. The correct answer is 11.66%.
The formula for compound interest is given by: A = P(1 + r)^t, where A is the final amount, P is the principal amount, r is the annual interest rate, and t is the time in years.
In this case, the initial investment (P) is BD 14,000, the final amount (A) is BD 52,600, and the time (t) is 12 years. We need to solve for the annual interest rate (r).
\(BD 52,600 = BD 14,000(1 + r)^{12}\)
By rearranging the equation and solving for r, we find:
\((1 + r)^{12} = 52,600/14,000\)
Taking the twelfth root of both sides:
\(1 + r = (52,600/14,000)^{(1/12)}\\r = 0.1166 / 11.66 \%\)
Therefore, Areej has earned an annualized rate of approximately 11.66% on this investment.
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I NEED THE CORRECT ANSWER IN ORDER TO PASS PLS HELP!
Write an equation for the following problem and Solve it.
A taxi cab in Myrtle Beach charges $2 per mile and $1 for every person. If a taxi cab ride for two people costs $12, how far did the taxi cab travel?
Answers
Answer:
i believe 5 miles
Step-by-step explanation:
$12 - $2 (for the two people in the taxi cab since it costs $1 every person)
= $10
then to find out the number of miles they traveled since it costs $2 you can divide 10 by 2 and get 5 which means they traveled 5 mes
Answer:
with two people and $12, the cab will travel 5 miles
Step-by-step explanation:
equation:
2x + y = 12
x - total distance
y - # of people
12 - total cost
2x + 2 = 12
x = 5 miles
Un vendedor de frutas tiene cierto número de mangos, vende 3/5 de ellos más dos mangos; luego vende 1/3 de los restantes más dos mangos, luego vende la mitad del saldo más un mango. Finalmente vende los 24 restantes, el número de mangos inicial empieza con la cifra
Answers
Respuesta:
200 mangos
Explicación paso a paso:
Dado :
Sea el número inicial de mangos = x
Primera venta:
3 / 5x + 2
Número a la izquierda = x - (3 / 5x + 2) = 2 / 5x - 2
Segunda venta:
1/3 (2 / 5x - 2) + 2 = 2 / 15x - 2/3 + 2
Cantidad restante:
2 / 5x - 2 - (2 / 15x - 2/3 +2)
2 / 5x - 2 - 2 / 15x + 2/3 - 2
0,2666666x - 3,3333
Tercera venta:
1/2 (0,2666666x - 3,3333) + 1 = 0,133333x - 1,666665 + 1
0.2666666x - 3.3333 - (0.133333x - 1.666665 + 1) = venta final
0,2666666x - 3,3333 - (0,133333x - 1,666665 + 1) = 24
0,2666666x - 3,3333 - 0,133333x + 1,666665 - 1 = 24
0,133333x - 2,666635 = 24
0.133333x = 24 + 2.666635
0,133333x = 26,666635
x = 26,666635 / 0,133333
x = 200.00026
x = 200 mangos
sin−1(sin/6)
cos−1(cos5/4)
tan−1(tan5/6) compute without using a calculator
Answers
Without using a calculator, the trigonometric expressions simplify to:
1. sin^(-1)(sin(θ/6)) = θ/6
2. cos^(-1)(cos(5/4)) = 5/4
3. tan^(-1)(tan(5/6)) = 5/6.
To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.
1. sin^(-1)(sin(θ/6)):
Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.
2. cos^(-1)(cos(5/4)):
Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.
3. tan^(-1)(tan(5/6)):
tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.
Hence, without using a calculator, we find that:
sin^(-1)(sin(θ/6)) = θ/6,
cos^(-1)(cos(5/4)) = 5/4,
tan^(-1)(tan(5/6)) = 5/6.
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Karen is a product tester at Lulu's Lotions & More. She's testing a new line of bath fizzers and
needs to measure how quickly they dissolve in water. The first bath fizzer she tested weighed
5 ounces to start. After one minute in water, it decreased by half, and Karen expects this rate
of decrease to continue.
Write an exponential equation in the form y = a(b)* that can model the weight of the bath
fizzer, y, after x minutes in water.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
y = 5(0.5)*
미미
Submit
(0)
How much will the bath fizzer weigh after 3 minutes in water?
ounces
Answers
Answer:0.625
Step-by-step explanation:
Does the table represent an exponential function? Explain.
A. Yes, the x-values decrease by a constant amount and the y-values are multiplied by a constant amount.
B. No, the x- and y-values show a quadratic relationship only.
C. Yes, the x-values increase by a constant amount and the y-values are multiplied by a constant amount.
D. Yes, the y-values increase by a constant amount and the x-values are multiplied by a constant amount.
Answers
Answer:
No, because as the x-values are increasing by a constant amount, the y-values are not being multiplied by a constant amount.
Step-by-step explanation:
We have a set of ordered pairs of the form (x, y)
If a function is exponential then the ratio between the consecutive values of y, is always equal to a constant.
This means that:
\frac{y_2}{y_1}=\frac{y_3}{y_2}=\frac{y_4}{y_3}=by1y2=y2y3=y3y4=b
This is: y_2=by_1y2=by1
Now we have this set of points {(-1, -5), (0, -3), (1, -1), (2, 1)}
Observe that:
\begin{gathered}\frac{y_2}{y_1}=\frac{-3}{-5}=\frac{3}{5}\\\\\frac{y_3}{y_2}=\frac{-1}{-3}=\frac{1}{3}\\\\\frac{3}{5}\neq \frac{1}{3}\end{gathered}y1y2=−5−3=53y2y3=−3−1=3153=31
Then the values of y are not multiplied by a constant amount "b"
Look at the pic attached
Answers
Answer:
x= -8 BDC= 68
EXPLANATION:
They create a straight angle which is always equal to 180. this means you must add both equations and set them equal to 180.
