Answers
The decay constant for the plutonium is - [ln (0.5 ) / 6300].
option C.
What is the decay constant?The decay constant for the plutonium is calculated by applying the following formula.
The given function for the radioactive decay;
[tex]Q(t) = Q_0e^{-kt}[/tex]
where;
Q(t) is the quantity remaining after a given timeQ₀ is the initial quantityk is the decay constantt is the timeThe decay constant for the plutonium is calculated as;
k = ln(2) / T½
k = ln(2) / 6300
k = ln(0.5⁻¹) / 6300
k = - [ln (0.5 ) / 6300]
Thus, the decay constant for the plutonium is - [ln (0.5 ) / 6300].
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Related Questions
In AMNO, the measure of 0=90°, ON = 15, MO = 8, and NM = 17. What is the value of the cosine of M to the nearest hundredth?
Answers
To find the value of the cosine of angle M in triangle AMNO, we can use the Law of Cosines. The Law of Cosines states that in a triangle with sides [tex]\displaystyle a[/tex], [tex]\displaystyle b[/tex], and [tex]\displaystyle c[/tex], and angle [tex]\displaystyle C[/tex] opposite side [tex]\displaystyle c[/tex], the following equation holds:
[tex]\displaystyle c^{2} =a^{2} +b^{2} -2ab\cos( C)[/tex]
In triangle AMNO, we have the following information:
[tex]\displaystyle AM=17[/tex] (side [tex]\displaystyle a[/tex])
[tex]\displaystyle MN=15[/tex] (side [tex]\displaystyle b[/tex])
[tex]\displaystyle AN=8[/tex] (side [tex]\displaystyle c[/tex])
Angle M = 90 degrees
We can apply the Law of Cosines to find the value of [tex]\displaystyle \cos( M)[/tex]:
[tex]\displaystyle AN^{2} =AM^{2} +MN^{2} -2\cdot AM\cdot MN\cdot \cos( M)[/tex]
Substituting the given values:
[tex]\displaystyle 8^{2} =17^{2} +15^{2} -2\cdot 17\cdot 15\cdot \cos( M)[/tex]
Simplifying:
[tex]\displaystyle 64=289+225-510\cdot \cos( M)[/tex]
[tex]\displaystyle 64=514-510\cdot \cos( M)[/tex]
Rearranging the equation:
[tex]\displaystyle 510\cdot \cos( M) =514-64[/tex]
[tex]\displaystyle 510\cdot \cos( M) =450[/tex]
Dividing both sides by 510:
[tex]\displaystyle \cos( M) =\frac{450}{510}[/tex]
Simplifying:
[tex]\displaystyle \cos( M) =\frac{15}{17}[/tex]
Therefore, the value of the cosine of angle M in triangle AMNO, to the nearest hundredth, is approximately [tex]\displaystyle 0.88[/tex].
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♥️ [tex]\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]
[tex] \frac{350}{120} [/tex]
me ayudan siiiiiiiiiiiiiii
Answers
The simplified fraction of 350/120 is 35/12
How to simplify the fractionfrom the question, we have the following parameters that can be used in our computation:
350/120
Divide the zeros
So, we have
350/120 = 35/12
Divide the fractions by 3
This is impossible
Hence, the simplified fraction is 35/12
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NEED HELP
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Previous Activity
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Which would prove that AABC~ AXYZ? Select two
options.
OBA-BC-A
=
YX
YZ XZ
OBA = BC₁
YX
YZ
O
AC
XZ
=
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BA
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YX
AC
BC
BA = AE = 8C
YX
YZ
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ZX
Next Activity
Answers
The conditions that prove that the triangles ΔABC and ΔXYZ are similar, ΔABC ~ ΔXYZ, based on the order of the lettering are;
BA/YX = BC/YZ = AC/XZ
AC/XZ = BA/YX, ∠A ≅ ∠C
What are similar triangles?Similar triangles are triangles that have the same shape (the same two or all three interior angles in each triangle) but in which may have different sizes.
Triangles are similar if they equivalent ratio for their sides and and if the angles in each triangle are congruent to the angles in the other triangle
Therefore, the conditions that indicates that two triangles are that one triangle is a scaled image of the other triangle, therefore, the ratio of the corresponding sides of the triangles are equivalent, which indicates;
ΔABC is similar to ΔXYZ if we get;
BA/YX = BC/YZ = AC/XZA condition that indicates that two triangle are similar is the Side Angle Side, SAS, similarity postulate, which states that two triangles are congruent if the ratio of two corresponding sides are equivalent and the angle between the two sides in the two triangles are congruent, therefore;
ΔABC is similar to ΔXYZ if we get;
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a) 9-12/2
b) 27-13/²2
Answers
a) Option a) 9 - 1/2 is equal to 17/2.
b) Option b) 27 - 2/3 is equal to 79/3.
a) The expression 9 - 1/2 can be simplified by finding a common denominator for the terms. The common denominator for 9 and 1/2 is 2.
Multiplying 9 by 2/2, we get:
9 * (2/2) = 18/2
So, the expression 9 - 1/2 can be simplified to:
18/2 - 1/2 = 17/2
Therefore, option a) 9 - 1/2 is equal to 17/2.
b) The expression 27 - 2/3 can be simplified in a similar manner by finding a common denominator for the terms. The common denominator for 27 and 2/3 is 3.
Multiplying 27 by 3/3, we get:
27 * (3/3) = 81/3
So, the expression 27 - 2/3 can be simplified to:
81/3 - 2/3 = 79/3
Therefore, option b) 27 - 2/3 is equal to 79/3.
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Function g is a transformation of the parent tangent function such that g(x) = tan(x-4) + 2 . Which graph represents function g?
Answers
Based on the given transformations, the correct graph that represents function g(x) = tan(x-4) + 2 is option c.
How to determine the graph that represents function g(x) = tan(x-4) + 2To determine the graph that represents function g(x) = tan(x-4) + 2, we can analyze the transformations applied to the parent tangent function.
The parent tangent function has the form f(x) = tan(x). The given function g(x) = tan(x-4) + 2 introduces two transformations:
1. Horizontal shift: The function is shifted 4 units to the right compared to the parent function f(x) = tan(x). This means the graph of g(x) will be shifted to the right by 4 units.
2. Vertical shift: The function is shifted 2 units up compared to the parent function f(x) = tan(x). This means the graph of g(x) will be shifted upward by 2 units.
Based on the given transformations, the correct graph that represents function g(x) = tan(x-4) + 2 is option c. The graph in option c shows a rightward shift of 4 units (horizontal shift) and an upward shift of 2 units (vertical shift), matching the transformations described for g(x).
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Here is a unit circle with point P at (1, 0) Find the coordinates of P after the circle rotates the given amount counter clockwise around its center
1. 1/3 of a full rotation: ?
2 1/2 of a full rotation: ?
3. 2/3 of a full rotation: ?
Answers
1/3 of a full rotation: (-0.5, √3/2)
1/2 of a full rotation: (-1, 0)
2/3 of a full rotation: (0.5, -√3/2)
These are the coordinates of point P after the corresponding rotations around the unit circle's center.
To find the coordinates of point P after the unit circle rotates a certain amount counter-clockwise around its center, we can use the properties of the unit circle and the trigonometric functions.
1/3 of a full rotation:
A full rotation in the unit circle corresponds to 360 degrees or 2π radians. Therefore, 1/3 of a full rotation is equal to (1/3) * 360 degrees or (1/3) * 2π radians.
When the unit circle rotates 1/3 of a full rotation, point P will end up at an angle of (1/3) * 2π radians or 120 degrees from the positive x-axis.
In the unit circle, the x-coordinate of a point on the circle represents the cosine of the angle, and the y-coordinate represents the sine of the angle.
At an angle of 120 degrees or (1/3) * 2π radians, the cosine is -0.5 and the sine is √3/2.
Therefore, the coordinates of point P after rotating 1/3 of a full rotation are (-0.5, √3/2).
1/2 of a full rotation:
Similarly, 1/2 of a full rotation is equal to (1/2) * 360 degrees or (1/2) * 2π radians.
When the unit circle rotates 1/2 of a full rotation, point P will end up at an angle of (1/2) * 2π radians or 180 degrees from the positive x-axis.
At an angle of 180 degrees or (1/2) * 2π radians, the cosine is -1 and the sine is 0.
Therefore, the coordinates of point P after rotating 1/2 of a full rotation are (-1, 0).
2/3 of a full rotation:
Again, 2/3 of a full rotation is equal to (2/3) * 360 degrees or (2/3) * 2π radians.
When the unit circle rotates 2/3 of a full rotation, point P will end up at an angle of (2/3) * 2π radians or 240 degrees from the positive x-axis.
At an angle of 240 degrees or (2/3) * 2π radians, the cosine is 0.5 and the sine is -√3/2.
Therefore, the coordinates of point P after rotating 2/3 of a full rotation are (0.5, -√3/2).
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The diagonal of rectangle ABCD measures 2 inches in length. What is the length of line segment AB?
Answers
Answer:
AB = √3
Step-by-step explanation:
Since ABCD is a rectangle, all angles are 90°
∠CDA = 90°
⇒ ∠CDB + ∠BDA = 90
⇒ ∠BDA = 60
In ΔABD,
sin(∠BDA) = opposite/ hypotenuse = AB / BD
⇒ sin(60) = AB/2
⇒ AB = 2 sin(60)
⇒ AB = 2 (√3)/2
AB = √3
Determine the limit in the following equation.
Answers
The limit of the expression lim (x² - √x⁴ + 3x²) as x approaches any value is indeterminate (∞ - ∞), except when x approaches zero, where the limit is 0.
How did we get the value?To find the limit of the expression lim (x² - √x⁴ + 3x²) as x approaches a certain value, we can simplify the expression and evaluate the limit.
First, let's simplify the expression:
lim (x² - √x⁴ + 3x²)
= lim (4x² - x² - √x⁴)
= lim (3x² - √x⁴)
Now, let's consider the behavior of the expression as x approaches a value.
As x approaches any finite value, the term 3x² will approach a finite value.
For the term √x⁴, as x approaches a finite value, the square root of x⁴ will approach the absolute value of x².
Therefore, the limit becomes:
lim (3x² - √x⁴) = lim (3x² - |x²|)
Next, let's consider the different cases as x approaches positive infinity, negative infinity, and zero.
1. As x approaches positive infinity, the term 3x² will tend to positive infinity, and |x²| will also tend to positive infinity. Thus, the expression becomes:
lim (3x² - |x²|) = lim (∞ - ∞)
In this case, the limit is indeterminate (∞ - ∞).
2. As x approaches negative infinity, the term 3x² will tend to positive infinity, and |x²| will also tend to positive infinity. Thus, the expression becomes:
lim (3x² - |x²|) = lim (∞ - ∞)
Again, in this case, the limit is indeterminate (∞ - ∞).
3. As x approaches zero, the term 3x² will tend to zero, and |x²| will also tend to zero. Thus, the expression becomes:
lim (3x² - |x²|) = lim (0 - 0) = 0
Therefore, the limit of the expression lim (x² - √x⁴ + 3x²) as x approaches any value is indeterminate (∞ - ∞), except when x approaches zero, where the limit is 0.
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Corelise has 3 wooden bookcases that contain all of her books. The first bookcase has 3 shelves with 22 books on each shelf. The second bookcase has 4 shelves with 18 books on each shelf. The third bookcase has 5 shelves with 17 books on each shelf.
Part A
Write an expression for how many books she has.
A.
(
3
×
22
)
+
(
4
×
18
)
+
(
5
×
17
)
B.
(
3
+
22
)
×
(
4
+
18
)
×
(
5
+
17
)
C.
(
3
+
22
)
+
(
4
+
18
)
+
(
5
+
17
)
D.
(
3
×
22
)
+
(
4
+
18
)
+
(
5
×
17
)
Part B
Stephan has 230 books. Does Corelise have more than Stephan?
Yes or no
, she has
2,7,13,23
more or fewer
than Stephan.
Answers
Answer:
A
Step-by-step explanation:
3x16
+
4x18
+
5x17
4,5,6,8,9,9,10,12,12,12,17,17,18,18
Answers
GEOMETRY 50POINTS
TYSM
Answers
Answer:
40, 50, 30 Yes
13, 5, 12 Yes
10, 10, 15 Yes
41, 9, 40 Yes
Step-by-step explanation:
16, 10, 6
10 + 6 = 16
No
40, 50, 30
30 + 40 > 50
Yes
13, 5, 12
5 + 12 > 13
Yes
70, 20, 25
20 + 25 < 70
No
10, 10, 15
10 + 10 >15
Yes
41, 9, 40
9 + 40 > 41
Yes
I just need help with the range domain is [-2,3)
Answers
Answer:
We don't need to worry about the displaystyle- {3} −3 anyway, because we dcided in the first step that displaystyle {x}ge- {2} x ≥ −2. So the domain for this case is displaystyle {x}ge- {2}, {x}ne {3} x≥ −2,x≠ 3, which we can write as displaystyle {left [- {2}, {3}right)}cup {left ({3},inftyright)} [−2,3)∪(3,∞).
Step-by-step explanation:
GEOMETRY 50POINTS
TY GUYS
Answers
Answer:
35.7 ft
Step-by-step explanation:
Given
Hypotenuse (length of the ladder) = 50 ft
Base (distance from the ladder to wall) = 35 ft
Height (of the wall) = [tex]\sqrt{50^{2}-35^{2} }[/tex] = [tex]\sqrt{1275}[/tex] = 35.7 ft
Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth factor (i.e. common ratio; growth multiplier) was around 1.9. In 1983, about 1600 people in the U.S. died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 2003?
Answers
First, let's calculate the number of years between 1983 and 2003:
2003 - 1983 = 20 years
Using the exponential growth formula:
N = N0 * (growth factor)^t
Where:
N0 is the initial value (number of deaths in 1983)
(growth factor) is the common ratio or growth multiplier
t is the time in years
Given:
N0 = 1600 (number of deaths in 1983)
growth factor = 1.9 (common ratio)
t = 20 (years)
Using the formula, we can calculate:
N = 1600 * (1.9)^20
Calculating this expression:
N ≈ 1600 * 6.1917364224
N ≈ 9907.58
Therefore, if the trend had continued unchecked, approximately 9908 people would have died from AIDS in the U.S. in 2003.
Simplify the f(x) and g(x) to get it
Answers
Answer:
(fg)(x)= (x²+6)(x²-x+9)
multiply the terms:
(fg)(x)= x²(x²-x+9) +6(x²-x+9)
add the like terms:
(fg)(x)= (x⁴-x³+9x²)+(6x²-6x+54)
and you get your final answer:
(fg)(x)= x⁴-x³+15x²-6x+54
Determine the point(s) at which the given function f(x) is continuous.
Answers
Answer: [tex](-\infty, 6) \cup (6, \infty)[/tex]
Step-by-step explanation:
Polynomials are continuous for all reals, so we only need to consider the rational part. Since the denominator is undefined at [tex]x=6[/tex], there is a vertical asymptote at [tex]x=6[/tex].
Select the sentence that contains no errors in subject-verb agreement.
Group of answer choices
Those people whose long lives are about to end feels reassured by this belief.
Those people whose long lives are about to end feel reassured by this belief.
A person whose long life is about to end feel reassured by this belief.
A person whose long life are about to end feels reassured by this belief.
Answers
The sentence that contains no errors in subject-verb agreement is: "Those people whose long lives are about to end feel reassured by this belief."
This sentence correctly matches the plural subject "Those people whose long lives are about to end" with the plural verb "feel." The verb "feel" agrees in number with the subject "people."
The other sentences have subject-verb agreement errors:
"Those people whose long lives are about to end feels reassured by this belief."
The verb "feels" does not agree with the plural subject "Those people." It should be "feel."
"A person whose long life is about to end feel reassured by this belief."
The verb "feel" does not agree with the singular subject "A person." It should be "feels."
"A person whose long life are about to end feels reassured by this belief."
The verb "are" does not agree with the singular subject "A person." It should be "is."
Therefore, the sentence with no errors in subject-verb agreement is: "Those people whose long lives are about to end feel reassured by this belief."
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elsa hikes up a mountain. she hikes back down at a constant rate the table shows elsas elevation at each hour after she begins her descent
Answers
The linear equation from the given table is expressed as:
y = -1500x + 8350
How to find the equation from the table?The general form for the equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
The formula for the equation of a line through two coordinates is:
(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)
We will take the two coordinates (1, 6850) and (2, 5350)
Thus:
(y - 6850)/(x - 1) = (5350 - 6850)/(2 - 1)
(y - 6850)/(x - 1) = -1500
y - 6850 = -1500x + 1500
y = -1500x + 1500 + 6850
y = -1500x + 8350
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You are typing a paper. At 4:04pm you have typed 275 words. By 4:18pm you have typed 765 words. Find the rate of change in words per minute. Round your answer to the nearest whole number.
Answers
Answer:
35
Step-by-step explanation:
18-4 = 14 minutes
number of words typed in 14 minutes is 765-275= 490 words
490 words/14 mins= appox 35
The lines shown below are parallel. if the green line has a slope of 3 what is the slope of the red line?
Answers
Answer:
3
Step-by-step explanation:
parallel lines have the same gradient
GEOMETRY 50POINTS
determine what type of triangle they will form.
BRILLIANT for the best answer
Answers
Answer:
acute triangle
Step-by-step explanation:
for the given sides to form a triangle
the sum of any 2 sides must be greater than the third side
given 56 , 90 , 100
56 + 90 = 146 > 100
56 + 100 = 156 > 90
90 + 100 = 190 > 56
the condition is met so the 3 lengths will form a triangle.
let a = 56 , b = 90 and c = 100 , where c represents the longest of the 3 sides , then
• if a² + b² = c² , then triangle is right
• if a² + b² > c² , then triangle is acute
• if a² + b² < c² , then triangle is obtuse
a² + b² = 56² + 90² = 3136 + 8100 = 11,236
c² = 100² = 10, 000
since a² + b² > c² , then triangle is acute
The exponential growth model y = Ae^rt can be used to calculate the future population of a city. In this model, A is the current population, r is the rate of growth, and y is the future population for a specific time, t, in years.
A certain city's population has a growth rate of r = 0.08. Approximately how long will it take the city's population to grow from 250,000 to 675,000?
NEED ASAP
Answers
Step-by-step explanation:
in the formula
y = Ae^rt
y is 675,000
A is 250,000
r is 0.08
to get the value of t
y = Ae^rt
y/A = e^rt
ln(y/A) = rt
[ln(y/A)]/r = t
y = Ae^(rt)
In this case, the initial population (A) is 250,000, and the future population (y) is 675,000. The growth rate (r) is given as 0.08. We need to solve for time (t).
675,000 = 250,000 * e^(0.08t)
To solve for t, we can take the natural logarithm (ln) of both sides:
ln(675,000) = ln(250,000 * e^(0.08t))
ln(675,000) = ln(250,000) + ln(e^(0.08t))
ln(675,000) = ln(250,000) + 0.08t
Now, we can isolate t by subtracting ln(250,000) and dividing by 0.08:
0.08t = ln(675,000) - ln(250,000)
t = (ln(675,000) - ln(250,000)) / 0.08
Calculating this value will give us the approximate time it takes for the population to grow from 250,000 to 675,000.
Similar Triangles
Determine whether the triangles are similar. If so, write a similarity statement. If not, what would be sufficient to
prove the triangles similar? Explain your reasoning.
I need help on number 1 and 2
Answers
The equivalent ratio of the corresponding sides and the triangle proportionality theorem indicates that the similar triangles are;
1. ΔAJK ~ ΔSWY according to the SAS similarity postulate
2. ΔLMN ~ ΔLPQ according to the AA similarity postulate
3. ΔPQN ~ ΔLMN
LM = 12, QP = 8
4. ΔLMK~ΔLNJ
NL = 21, ML = 14
What are similar triangles?
Similar triangles are triangles that have the same shape but may have different sizes.
1. The ratio of corresponding sides between the two triangles circumscribing the congruent included angle are;
24/16 = 3/2
18/12 = 3/2
The ratio of each of the two sides in the triangle ΔAJK to the corresponding sides in the triangle ΔSWY are equivalent and the included angle, therefore, the triangles ΔAJK and ΔSWY are similar according to the SAS similarity rule.
2. The ratio of the corresponding sides in each of the triangles are;
MN/LN = 8/10 = 4/5
PQ/LQ = 12/(10 + 5) = 12/15 = 4/5
The triangle proportionality theorem indicates that the side MN and PQ are parallel, therefore, the angles ∠LMN ≅ ∠LPQ and ∠LNM ≅ ∠LQP, which indicates that the triangles ΔLMN and ΔLPQ are similar according to the Angle-Angle AA similarity rule
3. The alternate interior angles theorem indicates;
Angles ∠PQN ≅ ∠LMN and ∠MLN ≅ ∠NPQ, therefore;
ΔPQN ~ ΔLMN by the AA similarity postulate
LM/QP = (x + 3)/(x - 1) = 18/12
12·x + 36 = 18·x - 18
18·x - 12·x = 36 + 18 = 54
6·x = 54
x = 54/6 = 9
LM = 9 + 3 = 12
QP = x - 1
QP = 9 - 1 = 8
4. The similar triangles are; ΔLMK and ΔLNJ
ΔLMK ~ ΔLNJ by AA similarity postulate
ML/NL = (6·x + 2)/(6·x + 2 + (x + 5)) = (6·x + 2)/((7·x + 7)
ML/NL = LK/LJ = (24 - 8)/24
(24 - 8)/24 = (6·x + 2)/((7·x + 7)
16/24 = (6·x + 2)/(7·x + 7)
16 × (7·x + 7) = 24 × (6·x + 2)
112·x + 112 = 144·x + 48
144·x - 112·x = 32·x = 112 - 48 = 64
x = 64/32 = 2
ML = 6 × 2 + 2 = 14
NL = 7 × 2 + 7 = 21
MN = 2 + 5 = 7
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 Ex is tangent to circle O at point L, and IF is a secant line. If m_FLX = 104°, find
mLKF.
Answers
Answer:
arc LKF = 208°
Step-by-step explanation:
the angle FLX between the tangent and the secant is half the measure of the intercepted arc LKF , then intercepted arc is twice angle FLX , so
arc LKF = 2 × 104° = 208°
Taking attempt 2 of 2.
Question #1*
Find the measure of the indicated arc
67°
134°
Answers
The measure of the indicated arc angle is 134 degrees.
How to find the measure of arc angle?The angle subtended by the arc at the centre of the circle is the angle of the arc.
Therefore, the central angle of an arc is the angle at the centre of the circle between the two radii subtended by the arc.
Hence, the central angle is also known as the arc's angular distance.
Therefore, the measure of an arc is the measure of its central angle.
Hence, the measure of the indicated arc is 134 degrees.
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what is the graph of f(x) = 5(2)^x
Answers
The graph of the function f(x) = 5(2)^x is an upward-sloping exponential curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing the x-axis.
The function f(x) = 5(2)^x represents exponential growth. Let's analyze its graph.
As x increases, the value of 2^x grows exponentially. Multiplying it by 5 further amplifies the growth. Here are a few key points to consider:
When x = 0, 2^0 = 1, so f(0) = 5(1) = 5. This is the y-intercept of the graph, meaning the function passes through the point (0, 5).
As x increases, 2^x grows rapidly. For positive values of x, the function will increase quickly. As x approaches positive infinity, 2^x grows without bound, resulting in the function also growing without bound.
For negative values of x, 2^x approaches zero. However, the function is multiplied by 5, so it will not reach zero. Instead, it will approach y = 0, but the graph will never touch or cross the x-axis.
The function is always positive since 2^x is positive for any value of x, and multiplying by 5 does not change the sign.
Based on these observations, we can conclude that the graph of f(x) = 5(2)^x will be an exponential growth curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing or touching the x-axis.
The graph will have a smooth curve that rises steeply as x increases. The rate of growth will be determined by the base, in this case, 2. The larger the base, the steeper the curve. The function will approach but never reach the x-axis as x approaches negative infinity.
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The grocery store has bulk pecans on sale, which is great since you're planning on making 9 pecan pies for a wedding. How many pounds of pecans should you buy?
First, determine what information you need to answer this question, then click here to display that info (along with other info).
How many pecans are needed for each pie? Your recipe calls for
cups pecans per pie. But there is no cup measure available, only a scale.
How many pecans are in a pound? Perhaps the nutritional info from a bag of pecans would be helpful.
Answers
Approximately 4.6 pounds of pecans are needed for one pecan pie.You should buy approximately 41.4 pounds of pecans to make 9 pecan pies.
To determine the number of pounds of pecans needed to make 9 pecan pies, we need to consider the amount of pecans required per pie and the number of pies we are making.
The recipe calls for 1 cup of pecans per pie, but we don't have a measuring cup available. However, we do have nutritional information from a bag of pecans, which states that there are 684 calories in 1 cup (99g) of pecans.
To find out how many pecans are in a pound, we can use the information that 1 cup of pecans weighs 99 grams. Since there are 454 grams in a pound, we can set up the following proportion:
1 cup (99g) = x pounds (454g)
Cross-multiplying, we get:
99g * x pounds = 1 cup * 454g
Simplifying, we have:
99x = 454
Dividing both sides by 99, we find:
x ≈ 4.5959 pounds
So, approximately 4.6 pounds of pecans are needed for one pecan pie.
Since we are making 9 pecan pies, we multiply the amount needed for one pie by the number of pies:
4.6 pounds/pie * 9 pies = 41.4 pounds
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Rotate point (-3, 2) about the origin 180 degrees clockwise. Where will the new point be?
Answers
Answer: the answer is (3,-2)
Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)
therefore
(-3,2) becomes (3,-2)
I'm pretty sure
The cost of capsaicin arthritis rub is $21 for a
physical therapist who works with chronic arthritis patients, you need to buy
42 ounces of capsaicin. How many tubes will you need to purchase?
Answers
You will need to purchase approximately 1/42 of a tube, which is less than a full tube. In practical terms, you would need to purchase at least one tube to meet your requirement of 42 ounces of capsaicin arthritis rub.
To determine the number of tubes of capsaicin arthritis rub you will need to purchase, we can divide the total required quantity by the quantity in each tube.
Given that the cost of capsaicin arthritis rub is $21 and you need to buy 42 ounces, we need to find out how many ounces are in each tube.
Let's assume that each tube contains x ounces of capsaicin arthritis rub.
Now we can set up a proportion to solve for x:
42 ounces / x tubes = 1 tube / x ounces
Cross-multiplying gives us:
42x = 1 * x
Simplifying the equation:
42x = x
Dividing both sides of the equation by x (since x cannot be zero):
42 = 1
Since this equation is not true, it means that there is an error in our assumption. We need to revise our assumption.
Let's assume that each tube contains 1 ounce of capsaicin arthritis rub.
Now we can set up a new proportion:
42 ounces / x tubes = 1 tube / 1 ounce
Cross-multiplying gives us:
42x = 1 * 1
Simplifying the equation:
42x = 1
Dividing both sides of the equation by 42:
x = 1/42
As a result, you will need to buy less than a full tube—roughly 1/42 of a tube. In order to get the 42 ounces of capsaicin arthritis rub you need, you would essentially need to buy at least one tube.
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please answer ASAP I will brainlist
Answers
(a) The average cost in 2010 is $2088.82.
(b) A graph of the function g for the period 2006 to 2015 is: D. graph D.
(c) Assuming that the graph remains accurate, its shape suggest that: B. the average cost increases at a slower rate as time goes on.
How to estimate the average cost in 2011?Based on the information provided, we can logically deduce that the average annual cost (in dollars) for health insurance in this country can be approximately represented by the following function:
g(x) = -1736.7 + 1661.4Inx
where:
x = 6 corresponds to the year 2006.
For the year 2011, the average cost (in dollars) is given by;
x = (2010 - 2006) + 6
x = 4 + 6
x = 10 years.
Next, we would substitute 10 for x in the function:
g(10) = -1736.7 + 1661.4In(10)
g(10) = $2088.82
Part b.
In order to plot the graph of this function, we would make use of an online graphing tool. Additionally, the years would be plotted on the x-axis while the average annual cost would be plotted on the x-axis of the cartesian coordinate as shown below.
Part c.
Assuming the graph remains accurate, the shape of the graph suggest that the average cost of health insurance increases at a slower rate as time goes on.
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