Irrational numbers are numbers that cannot be expressed as a ratio of integers and have digits that go on forever without repeating.
Irrational numbers are a type of real number which cannot be represented as a simple fraction. These numbers could be expressed in decimals but not in the form of fractions i.e., they cannot be written as the ratio of integers. Irrational numbers have endless non-repeating digits after the decimal point, hence cannot be expressed as terminating or repeating decimals. For example, when taking the square root of a number that is not a perfect square, it is going to be irrational number.
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Find the measure of the angle indicated.
, will give brain-lest if correct!
Answer:
50 degrees
Step-by-step explanation:
100 - 60 degrees
therorem
ec question 14: t distributions homeworkunanswereddue today, 11:59 pm which of the following statements are true regarding the t distribution. select all that apply. multiple answers: multiple answers are accepted for this question select one or more answers and submit. for keyboard navigation...show more a the t distribution is left-skewed. b the t distribution is right-skewed. c the t distribution is symmetric. d the t distribution is defined by its degrees of freedom. e the t distribution is equivalent to the normal distribution. f as the degrees of freedom of a t distribution increase it approaches a standard normal distribution g a distribution is used for testing the population mean when the population standard deviation is known. h a distribution is used for testing the population mean when the population standard deviation is unknown.
The standardized distribution known as the T distribution is a member of the one-parameter family. The degrees of freedom are the only input for the t distribution.
What is population variances?A measure of the distribution of a set of data points is called population variance. It measures the mean squared departure from the mean, specifically. As a result, the variance will be minimal if all of the data points are very near to the mean. The variation will be high if the data points are dispersed throughout a wide range.
The standardized distribution known as the T distribution is a member of the one-parameter family. The degrees of freedom are the only input for the t distribution. Because sample size is used to assess this degree of freedom, degrees of freedom are dependent on sample size.
The t distribution tends to follow a normal distribution as sample size rises. The degree of freedom is ultimately determined by the sample size, so as the degree of freedom rises, the t distribution tends to be a normal distribution.
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what is the product of (5.1x10^3)x(3.2x10^3)
Answer:
Step-by-step explanation:
0 is the answer
an equation of the line normal to the graph of y=sqrt(3x^2+2x) at (2 4)
The equation of the line normal to the curve y = square root(3x² + 2x) at point (2,4) is given as follows:
y - 4 = -4/7(x - 2).
How to obtain the equation of the line normal to the curve?The equation of the line normal to a curve follows the point-slope definition of a linear function, given as follows:
y - y' = m(x - x').
The function in this problem is defined as follows:
y = square root(3x² + 2x).
Then the derivative of the function, applying the chain rule, is given as follows:
y' = (6x + 2)/(2 x square root(3x² + 2x))
y' = (3x + 1)/square root(3x² + 2x)
At x = 2, the numeric value of the derivative is of:
y' = 7/square root(16) = 7/4.
The slope of the normal line is calculated as follows:
m x 7/4 = -1
m = -4/7.
(as the normal line is perpendicular to the tangent line, which has slope equals to the numeric value of the derivative at the point).
The coordinates of the point at (2,4), hence:
x' = 2, y' = 4.
Then the definition of the normal line is given as follows:
y - 4 = -4/7(x - 2).
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A sports drinks recipe calls for 2 tablespoons of powder mix for every 12 ounces of water. how many can you make with 6 tablespoon and 36 ounces of water explain.
Answer: 3 sports drinks
Step-by-step explanation:
6 divde by 2= 3
36 divided by 12 =3
in other words
3x2=6
12x3=36
hope this helps
An employee receives a salary increase of 8% at the end of each full year working with a company. If the employee receives an initial salary of $35,400, which equation represents the employee’s salary, S, after t years since the employee began working with the company? Responses
The exponential function that represents the employee’s salary, S, after t years since the employee began working with the company is given as follows:
S(t) = 35400(1.08)^t.
What is an increasing exponential function?An increasing exponential function is modeled according to the rule presented as follows:
A(t) = A(0)(1 + r)^t.
The parameters are given as follows:
A(0) is the initial salary.r is the growth rate, as a decimal.An employee receives a salary increase of 8% at the end of each full year working with a company, hence the growth rate is given as follows:
r = 0.08.
The employee receives an initial salary of $35,400, hence the initial value is given as follows:
A(0) = 35400.
Thus the exponential function for this problem is defined as follows:
S(t) = 35400(1.08)^t.
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Trevor is making payments on a car that costs 26,555 dollars. He makes 36 equal payments. If he rounds the equal payments up to the nearest whole dollar, about how much will he overpay after 36 months? Explain.
Answer:
$13 overpayment
Step-by-step explanation:
We can find the amount Trevor should pay each month by dividing the $26,555 by 36 months:
($26,555/(36 months)) = $737.64 per month
Since Trevor decide to round up to the nearest dollar, he will pay $738 each month. That's an overpayment of $0.361 each month.
After 36 months of overpaying by $0.361 each month, Trevor will have overpaid:
($0.36/month)*(36 months) = $13 overpayment
Find the complex numbers
please specify which answers are which
The complex number in each case will be 11 - 3i, 2 + i, and 5 - 6i.
What is a complex number?The complex number is the combination of the real part and the imaginary part. Then the complex number is given as a+bi where the value of i is √(-1) and the value of i² is -1.
The real part is 11 and the imaginary part is -3i. Then the complex number is given as,
⇒ 11 - 3i
The real part is 2 and the imaginary part is i. Then the complex number is given as,
⇒ 2 + i
The real part is 5 and the imaginary part is -6√(-1). Then the complex number is given as,
⇒ 5 - 6√(-1)
⇒ 5 - 6i
The complex number in each case will be 11 - 3i, 2 + i, and 5 - 6i.
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The present age of the father is three times the age of his son. If the age of the son after 10 years is equal to the age of the father before 20 years, find the present ages of father and the son.
Answer:
Hi
Step-by-step explanation:
I am just reply to see if i really understand that problem
Let's assume s the present age of the son, and f the present age of the father.
The age of the son After 10 years is equal to the age of the father before 20 years:
s+10=f+10-20
f=3s
=> s+10=f-10
=> s+10=3s-10
=> 2s=20
=> s=10 and f=30
how many revolutions will the circular helix make in a distance of 10 units measured along the z axis
At a = √25/π^2 - 0.04 revolutions will the circular helix r = acosti + asintj + 0.2tk make in a distance of 10 units measured along the z-axis.
In the given question, we have to find how many revolutions will the circular helix r = acosti + asintj + 0.2tk make in a distance of 10 units measured along the z-axis.
r = acosti + asintj + 0.2tk, length = 10 unit
So |r| = [tex]\int^{2\pi}_{0}\sqrt{(dx/dt)^2+(dy/dt)^2+(dz/dt)^2}dt[/tex]
From the given equation,
x = acost, y = asint, z = 0.2t
dx/dt = -asint, dy/dt = acost, dz/dt = 0.2
10 = [tex]\int^{2\pi}_{0}\sqrt{(-a\sin t)^2+(a\cos t)^2+(0.2)^2}dt[/tex]
10 = [tex]\int^{2\pi}_{0}\sqrt{a^2\sin^2 t+a^2\cos^2t+0.04}dt[/tex]
As we know that sin^2x+cos^2x = 1. So
10 = [tex]\int^{2\pi}_{0}\sqrt{a^2+0.04}dt[/tex]
10 = [tex]\sqrt{a^2+0.04}\int^{2\pi}_{0}dt[/tex]
10 = [tex]\sqrt{a^2+0.04}\cdot[t]^{2\pi}_{0}[/tex]
10 = √(a^2+0.04)∙[2π-0]
2π√(a^2+0.04) = 10
Divide by 2π on both side, we get
√(a^2+0.04) = 5/π
Taking square on both side, we get
a^2+0.04 = 25/π^2
Subtract 0.04 on both side, we get
a^2 = 25/π^2 - 0.04
taking square root on both side, we get
a = √25/π^2 - 0.04
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The right question is:
How many revolutions will the circular helix
r = acosti + asintj + 0.2tk
make in a distance of 10 units measured along the z-axis?
1000 centimeters is equal to 1 what
Answer: 1 decameter
Step-by-step explanation:
Answer:
1 decameter
Step-by-step explanation:
1 decameter is 10 meters or 1000 centimeters
How many kilometers are in 100 meters?
Answer:
100 metere is 1 km
Thanks for the question
(d) at the 0.05 level of significance, is there evidence of a linear relationship between the number of cases delivered and the delivery time?
Yes, there is evidence that the level of significance is taken at 0.05 or 5% when the p-value is low.
Level of significance: The fixed probability of incorrectly eliminating the null hypothesis when it is actually true is what is meant by the term "level of significance." The probability of type I error is defined as the level of significance, which is set by the researcher using the results of the error. The statistical significance is measured by the level of significance. It specifies whether or not the null hypothesis is thought to be true. It is anticipated to determine whether the outcome is statistically significant enough to reject or prove the null hypothesis wrong.
The significance level is set at 0.05 or 5%. Low p-values indicate that the observed values differ significantly from the population value that was initially hypothesized. If the p-value is as small as possible, it is said to be more significant. Additionally, if the p-value is very low, the outcome would be highly significant. However, since obtaining a p-value below 0.05 is quite uncommon, p-values less than 0.05 are typically considered significant.
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Use estimation to evaluate 8,627.5 ÷ 35
Answer:
246.5
Step-by-step explanation:
86275÷35
= 246.5
approximately 247
a doctor claims that people are more than 11 pounds overweight. to test the claim, 25 randomly selected people were weighed and the difference between their actual weight and their ideal weight was calculated. the sample mean and sample standard deviation of that difference were12 and 4 pounds, respectively. assuming a paired t-test is appropriate, can we conclude at the 1% level of significance that the claim is true? group of answer choices yes, conclude the claim is true by accepting h0.
There is enough evidence to conclude that the doctor's claim is true.
We have given that,
population mean μ = 11 pounds
sample size n = 25
sample mean x = 12 ponds
standard deviation σ = 4 pounds
so the null hypothesis is H₀ : μ = 11 pounds
and the alternative hypothesis is Hₐ : μ > 11 pounds
now we will calculate test statistics,
t = (x-μ)/(σ/√n)
= (12 - 11)/(4/√25)
= 1/(4/5)
t = 1.25
p-value from the z-table is 0.10565
the result is non significant at p < 0.01.
Hence the null hypothesis rejected .
Therefore there is enough evidence to conclude that the doctor's claim is true.
The level of significance is the measurement of the statistical significance. It defines whether the null hypothesis is assumed to be accepted or rejected. It is expected to identify if the result is statistically significant for the null hypothesis to be false or rejected.
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Kamari is reading a novel for his English class. For the first 10 days, he records the number of pages he reads each day. His data is shown below.
14,10,8,20,15,15,12,10,14,20
What is the mean number of pages?
The mean number of pages is 13.8.
What is the mean?
There are various mean types in mathematics, particularly in statistics. Each mean helps to summarize a certain set of data, frequently to help determine the overall significance of a specific data set.
We have,
Kamari is reading a novel for his English class.
For the first 10 days, he records the number of pages he reads each day.
14,10,8,20,15,15,12,10,14,20
We have to calculate the mean of the number of pages he has red.
The mean is calculated by dividing the sum of all values in a data set by the number of values.
so,
14 + 10 + 8 + 20 + 15 + 15 + 12 + 10 + 14 + 20
= 138
Mean = 138 ÷ 10
= 13.8
Hence, the mean number of pages is 13.8.
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Shannon says that the lines y=-3x-4,y=-(1)/(3)x+6,y=-4x-5, and y=(1)/(4)x-5 could represent the sides of a rectangle. Explain Shannon's error.
The disadvantage is that the coefficients of x in the four equations can only take two values, so if one of every values is m, the alternative will be -1/m.
What is the equation?
A relationship between two terms on either side of an equal sign is depicted by a straightforward equation.
Simple equations also pursue one or a mixture of the four arithmetic computations of addition, simple arithmetic, multiplication, and division.
There are three basic forms of the system of equations: point-slope form, standard form, and slope-intercept form.
So, Shannon's error:
In a rectangle, the neighboring sides are perpendicular to one other, whereas parallel runs between the opposing sides.
The slope of line segments is equal, and the slope, of a perpendicular line to some other line with a slope, m, is -1/m , thus the slopes of the axis of symmetry should be equal, which gives:
The equation should consist of two sets of linear equations with equal slopes: B. Pair y = -x + 6 and y = -x - 5
Therefore, the slopes of the other two lines are -1/-1 = 1 and the equations of the other two lines are y = x - 4 and y = x - 5 respectively.
Therefore, the disadvantage is that the coefficients of x in the four equations can only take two values, so if one of every values is m, the alternative will be -1/m.
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find the quotient and remainder when 6x^4+ 11x^3+13x^2 -3x+27 is divided by 3x+4. also check the remainder obtained by using the remainder theorem.
The division of 6x⁴ + 11x³ + 13x² - 3x + 27 by 3x + 4 will have a quotient of 2x³ + x² +3x -5 and a remainder of 47 using the remainder theorem.
What is the remainder theoremThe remainder theorem states that if a polynomial say f(x) is divided by x - a, then the remainder is f(a).
We shall divide the 6x⁴ + 11x³ + 13x² - 3x + 27 by 3x + 4 as follows;
x⁴ divided by 3x equals 2x³
3x + 4 multiplied by 2x³ equals 6x⁴ + 8x³
subtract 6x⁴ + 8x³ from 6x⁴ + 11x³ + 13x² - 3x + 27 will give us 3x³ + 13x² - 3x + 27
3x³ divided by 3x equals x²
3x + 4 multiplied by x² equals 3x³ + 4x²
subtract 3x³ + 4x² from 3x³ + 13x² - 3x + 27 will give us 9x² - 3x + 27
9x² divided by 3x equals 3x
3x + 4 multiplied by 3x equals 9x² + 12x
subtract 9x² + 12x from 9x² - 3x + 27 will give us -15x + 27
-15x divided by 3x equals -5
3x + 4 multiplied by -5 equals -15x - 20
subtract -15x - 20 from -15x + 27 will result to a remainder of 47
using the remainder theorem, x = -4/3 from the the divisor 3x + 4
thus:
f(-4/3) = 6(-4/3)⁴ + 11(-4/3)³ + 13(-4/3)² - 3(-4/3) + 27 {putting the value -4/3 for x}
f(-4/3) = (1536/81) - (704/27) + (208/9) + (12/3) + 27
f(-4/3) = (1536 - 2112 + 1872 + 324 + 2157)/81 {simplification by taking the LCM of the denominators}
f(-4/3) = (5919 - 2112)/81
f(-4/3) = 3807/81
f(-4/3) = 47
Therefore, the quotient of after the division of 6x⁴ + 11x³ + 13x² - 3x + 27 by 3x + 4 is 2x³ + x² +3x -5 and there is the remainder of 47 using the remainder theorem.
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Math 2 MYP | 2.2a Checking for understanding
5 For the points P(10, 13), Q(17, 37), R(24, 13), and S(17, -11):
a Find the distances PQ, QR, RS and SP.
b Robin says: 'the lengths PQ, QR, RS and SP are all equal, so the shape
PQRS must be a square.' Determine whether Robin is correct.
c Robin's logical process was:
Premises:
Reasoning process:
Conclusion:
The four lengths are equal.
If a quadrilateral has four equal sides, then it is a square.
Since PQRS has four equal sides, it is a square.
PQRS is a square.
Explain the fault in Robin's logic.
SHOW WORK FOR BRAINLIST AND HEARTS
The true or false values of the statements are:
The book is $18 : TrueGiselle can earn up to $18 pulling weeds for her grandmaGiselle's grandma pays her $1 for every 5 weeds she pullsGiselle does not have to use any of her own money toward the purchase of the book when she pulls 90 weedsGiselle only needs to pull 18 weeds to not use any of her own money: FalseHow to determine the true statements from the scenario?From the question, we have the graph which represents the given parameters that can be used in our computation
Analysing the graph, we have:
The graph crosses the y-axis at y = 18
This means that the y-intercept of the graph is
y-intercept = 18
This in other words mean that:
The cost of the book is $18
So, (a) is true
Also, the graph crosses the x-axis at x = 90
This means that the x-intercept of the graph is
x-intercept = 90
This in other word mean that:
Giselle gets $18 if she pulls all the weed (i.e. 90 weeds) in the garden
So, (b) and (d) are true
The amount paid by her grandma is calculated as
Amount = 18/90
Amount = 1/5
So, (c) is true
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If P is true, Q is false, R is true, and S is false, determine the truth value of the following.
~[P v (Q v R)] >~ (SVP)
O a. True
O b. False
The truth value of the ~[P v (Q v R)] >~ (S v P) is true.
Truth-value, in logic, is the degree to which a particular proposition or assertion is true (T or 1) or false (F or 0). Because the truth-value of a compound proposition is a function of, or a quantity depending upon, the truth-values of its component components, logical connectives like disjunction and negation can be conceived of as truth-functions.
Given, ~[P v (Q v R)] >~ (S v P) since P v (Q v R) is true, thus ~ [ P v ( Q v R ) ] is false, therefore the implication is true.
⇒~[T v (F v T)] >~ (F v T)
⇒[F v (F v T)]>(T v T)
⇒[F v (F v T)]>(T v T)
⇒F v T
⇒T
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for a two-factor experiment with 2 levels of factor a and 3 levels of factor b and 10 subjects in each treatment condition, how many participants are in each level of factor b?
We utilize a two factors, independent measurements ANOVA, where, factor has 2 level and a factor likewise has 2 levels.
What are factors?A factor in mathematics is an integer that evenly divides another number by itself, leaving no residue.
Factors and multiples are a part of our daily life. For example, they are employed in arranging objects in a box, handling money, recognizing patterns in numbers, solving ratios, and working with expanding
A number totally divides the provided number without leaving any residual is said to be the factor of that number.
The components of a number might be positive or negative. For example, let us find the factors of 8. Since 8 is divisible by 1, 2, 4, and 8, we may list the positive factors of 8 as, 1, 2, 4, and 8. Apart from this, 8 has negative elements as well, which might be stated as, -1, -2, -4,
According to our question-
Degrees of freedom for the F-test of the two way ANOVA
In this case, we utilize an ANOVA with two independent variables and two factors, each with two levels.
So, here,
= 2 for the number of layers of A
= B's level count is 2,
Moreover, n = sample size in each treatment condition is equal to 10.
So we have,
= df of the main effect A = ( - 1) = 2 - 1 = 1
= df of the main effect A = ( - 1) = 2 - 1 = 1
= df of interaction effect (A x B) = ( - 1)( - 1) ( - 1)
= (2-1)(2-1) (2-1)
= 1
And = df of within variation (i.e. error variation) =
= 2 x 2 x (10 - 1) (10 - 1)
= 36
Consequently, the df value for the F-ratio measuring factors-primary A's impact is
= () ()
= (1, 36) (1, 36)
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Which of the following is not the test of congruence of two triangles ? ASA test ,
AAS test, SSA test , SAS test.
Answer:
Answer Option C: SSA test
Hello guys I need help with this if you don’t mind.
Answer:
2? – (-6)x +(-27), x² + 6x – 27 = 0
Step-by-step explanation:
i used a calculator
16. The volume of a cone is one-third the area of the base times the
height. A cone has a volume of 207 cubic inches. Write an equation
that can be used to solve for the height of the cone.
Answer:
1/3 * [tex]4\pi[/tex] * h = 207, h = 155.25[tex]\pi[/tex]
Step-by-step explanation:
Since we know the area of the base is [tex]4\pi[/tex], that means the volume of the cone is:
1/3 * [tex]4\pi[/tex] * h
If we substitue, we get:
1/3 * [tex]4\pi[/tex] * h = 207
(This is the answer! If you want to solve, go below)
Now, we just solve
[tex]4\pi\\[/tex] * h = 621
h = 621/[tex]4\pi\\[/tex]
h = 155.25[tex]\pi[/tex]
2. Find the number of ways eight people can be seated in an eight-passenger van.
Hii can someone help with this please and thank you
Answer:
There are 8! (8 factorial) ways for 8 people to be seated in an 8-passenger van. This is because there are 8 choices for the first person to sit, 7 choices for the second person, 6 choices for the third person, and so on, until there is only 1 choice for the last person. Therefore, the total number of ways for the 8 people to be seated is 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 8!, which is equal to 40,320.
need help on this please!!!
In step 1, y was made the subject of the second equation to get:
y=5x-4
To proceed, the next step is to substitute the expression into the other equation, not the equation we solved for y.
8x+2y=-12
8x+2(5x-4)=-12
8x+10x-8=-12
18x=-12+8
18x=-4
x=-[tex]\frac{4}{18}[/tex]
x=[tex]\frac-{2}{9}[/tex]
answer= the value of x is -2/9
write an equation of the line passing through the point (7,3) that is parallel to the line 4x - 7y = 9
Answer:
first you need to write the given equation in a standard form
4x - 7y = 9
-7y = -4x + 9
y = 4/7x - 9/7
*parallel lines have equal gradient
m = 4/7
y - y1 = m(x - x1)
y - 3 = 4/7(x -7)
y - 3 = 4/7x - 4
y = 4/7x - 1
your equation is y = 4/7x - 1
Answer:
[tex]y = \frac{4}{7} + 5[/tex]
Step-by-step explanation:
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponent (& Root)
Multiplication
Division
Addition
Subtraction
~
First, subtract 4x from both sides of the equation:
4x (-4x) - 7y = 9 (-4x)
-7y = -4x + 9
Next, divide -7 from both sides of the equation:
(-7y)/-7 = (-4x + 9)/-7
[tex]y = \frac{-4x}{-7} + \frac{9}{-7}[/tex]
[tex]y = \frac{4}{7}x - \frac{9}{7}[/tex]
Next, as long as your slope (4/7) is the same, you can adjust the b (-9/7 for original) to get a parallel line.
In this case, I will utilize 5
[tex]y = \frac{4}{7}x + 5[/tex]
See attached image for the result. The blue line is the adjusted parallel line, while the red line is the original line given by the question.
~
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the burning times of scented candles, in minutes, are normally distributed with a mean of 249 minutes and a standard deviation of 20 minutes. find the number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles. use excel, and round your answer to two decimal places.
The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles is 244 minutes.
When the distribution is normal, we use the z-score formula.
In a set with mean µ and standard deviation σ , the z-score of a measure X is given by:
Z = (X – µ) / σ
What is Z-score?The Z-score shows how many standard deviations the measure is from the mean. After finding the Z-score, need to look at the z-score table and discover the p-value associated with the z-score. This p-value is the probability that the value of the measure is smaller than X, means, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
So, in this case, given that:
µ = 249, σ = 20
The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles:
100 – 80 = 20th percentile, which is X when Z has a p-value of 0.2. So, X when Z = –0.253.
Now, put all the values into the formula:
Z = (X – µ) / σ
–0.253 = (X – 249) / 20
X – 249 = –0.253 * 20
X = 244
Hence, the candle burns for 244 minutes.
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70 POINTS!!!WILL GIVE BRAINLIEST
A local animal rescue has 20 people that help foster pets while they are waiting on finding their homes. They expect to gain two additional people willing to foster animals each month. The amount of animals in need of homes in the community is currently 10 and growing at a rate of 15% per month. When will the amount of homeless pets surpass the amount of foster homes available?
A) Write the two functions that represent this situation. (10 pts) B) Create a table of values. (5 pts)
C) Approximate the solution(s). Why is this the approximate solution? (5 pts)
D) Using graph paper (and the table of values), sketch the situation to show the exact solution. (5 pts)
Answer: below
Step-by-step explanation:
A. x=20+2n n= number of months
y=10(1+0.15)^n
B.
x 20,22,24,26,28,30....40
y 12.5,13.225,15.2,....40.5
C. The solution is 11 months because at 10 months even though the number of animals surpass the number of homes, you cannot have half a animal.
D.