Para calcular la velocidad del joven, Podemos utilizar la fórmula de la velocidad promedio Por lo tanto, la posición del joven a las 9 h es 1100 km.
a) Para calcular la velocidad del joven, podemos utilizar la fórmula de la velocidad promedio:
velocidad = distancia / tiempo
La distancia recorrida por el joven es xf - xo = 500 km - 200 km = 300 km, y el tiempo transcurrido es 11 h - 8 h = 3 h. Entonces, la velocidad del joven es:
velocidad = 300 km / 3 h = 100 km/h
Por lo tanto, el joven se movió a una velocidad constante de 100 km/h.
b) La ecuación que determina la posición del joven en función del tiempo puede ser expresada como:
x = xo + velocidad × tiempo
donde x es la posición del joven en un momento dado, xo es la posición inicial (xo = 200 km), velocidad es la velocidad constante a la que se mueve el joven, y tiempo es el tiempo transcurrido desde la posición inicial.
Sustituyendo los valores conocidos, obtenemos:
x = 200 km + 100 km/h × t
donde t es el tiempo en horas.
c) Para calcular la posición del joven a las 9 h, podemos utilizar la ecuación que determina la posición del joven en función del tiempo:
x = 200 km + 100 km/h × t
Sustituyendo t = 9 h, obtenemos:
x = 200 km + 100 km/h × 9 h = 1100 km
Por lo tanto, la posición del joven a las 9 h es 1100 km.
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2.
JA = 5, AL = 9, and LK= 15. What is the length of JK?
A. 6
B. 11
C. 15
D. 19
The value of length JK is 11
What is tangent of a circle?A tangent is a straight line that touches any part of the circumference. A circumference is the outer body of a circle.
A theorem of tangency states that if lines comes from thesame point of a circumference and meet at a point , then the lines are equal.
Therefore we can say that;
JA = JB = 5
AL = LC = 9
CK = LK - LC
= 15 -9
= 6
BK = LK = 6
therefore ;
JK = BK + JP
= 6+5
= 11
Therefore the value of JK is 11
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Here is a trapezium ABCD. 20 cm A 8 cm C 14 cm B Diagram NOT accurately drawn Angle DAB = angle ABC = 90° AD = 20 cm AB= 8 cm BC= 14 cm Calculate the area of the trapezium ABCD.
The area of the trapezium ABCD is 136 square cm
Calculating the area of the trapezium ABCD.From the question, we have the following parameters that can be used in our computation:
The image of the trapezium (see attachment)
The area of the trapezium ABCD is calculated as
Area = 1/2 * Sum of opposite sides * Height
When the given values are substituted in the above equation, we have the following equation
Area = 1/2 * (14 + 20) * 8
Evaluate the sum
Area = 1/2 * 34 * 8
Evaluate the products
Area = 136
Hence, the area of the trapezium ABCD is 136 square cm
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if log 7 equals a and log 8 equals b then log 224 equals
A: a + 5/3b
B: a + 4b
C: 4a + B
D: 4ab
E: none of the above
If log 7 equals a and log 8 equals b then log 224 equals: E: none of the above.
What is log?Simplify the expression for log (224) by using:
log (ab) = log (a) + log (b) and log (a/b) = log (a) - log (b):
So,
log (224) = log ( 7 × 8 × 4)
= log (7) + log (8) + log (4)
Since log(4) = 0 (since 4 = 2^2)
Simplify
log(224) = log (7) + log (8) + log (4)
= log 7 + log 8
= a + b
Therefore the correct option is E.
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multiple choice write a function rule for finding the amount of daily pay, p, in the following situation: a bus driver gets paid $100 each day plus $0.20 per kilometer, k. a. 100
The equation for finding amount of daily pay is bus-driver gets paid $100 each day plus $0.20 per kilometer, "k" is p = 100 + 0.20k.
The equation for finding the amount of daily pay, "p", in the given situation would be : p = 100 + 0.20k,
In this equation, "p" represents the total daily-pay, "100" is the fixed amount paid each day, and
"$0.20" is the rate per kilometer. "k" represents the number of kilometers driven on that day.
To calculate the daily pay, you add the fixed amount of $100 to the product of the rate per kilometer and the number of kilometers driven on that day.
Therefore, the required equation is p = 100 + 0.20k.
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The given question is incomplete, the complete question is
Write an equation for finding the amount of daily pay, p, in the following situation: A bus driver gets paid $100 each day plus $0.20 per kilometer, "k".
in the chi-square test expected frequencies represent: a. the frequencies one would expect if the null hypothesis were true. b. the frequencies one would expect if the null hypothesis was not true. c. the frequencies one would expect if the sample were normally distributed. d. none of the above
In the chi-square test expected frequencies represent The frequencies one would expect if the null hypothesis were true
The expected frequencies in the chi-square test represent the frequencies one would expect if the null hypothesis were true. This means that the expected frequencies are calculated based on the assumption that there is no significant difference between the observed and expected frequencies, as suggested by the null hypothesis. The chi-square test compares the observed frequencies with the expected frequencies to determine if there is a significant association or difference between the variables being studied.
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The vertex form of the equation of a parabola is y=2(x-3)^2+5. What is the standard form of the equation?
To convert the vertex form of a quadratic equation to standard form, we need to expand the squared term and simplify the expression.
Starting with the vertex form of the equation of a parabola:
y = 2(x - 3)^2 + 5
We can expand the squared term using the square of a binomial formula:
y = 2(x^2 - 6x + 9) + 5
Next, we distribute the coefficient 2:
y = 2x^2 - 12x + 18 + 5
Simplifying the constant terms:
y = 2x^2 - 12x + 23
This is the standard form of the equation of the parabola.
WZ and XR are diameters. Find the measure of arc ZWX. (The figure is not drawn to scale. )
The measure of arc ZWX is 180 degrees.
Given that WZ and XR are diameters, we know that they are both perpendicular to chord WX. This creates four right angles at point X, and as a result, we have a rectangle formed by the four line segments.
Since WZ and XR are diameters, they each extend from one end of the rectangle to the other. This means that arc ZWX is actually a semicircle, with a measure of 180 degrees.
To see why this is the case, consider that a full circle has a measure of 360 degrees. Since arc ZWX spans exactly half of the circle, it must have a measure of half the circle, or 180 degrees.
In summary, the measure of arc ZWX is 180 degrees. This can be derived from the fact that WZ and XR are diameters, which create a rectangle and a semicircle in the process. While the figure may not be drawn to scale, the relationships between the different line segments and angles remain constant, allowing us to determine the measure of arc ZWX with confidence.
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The probablity of selecting a particular color almond M&M (according to the website) from a bag of M&Ms is listed below. Let the probability of selecting a color be represented as Br= Brown, Y= Yellow, R= Red, Bl = Blue, O= Orange and G = Green. A probability distribution is listed below.
brown yellow red blue orange green
probability 0.1 0.2 0.1 0.2 0.2 0.2
Suppose that you randomly select one M&M. What is the P(R or Br)?
To find the probability of selecting either a Red or a Brown almond M&M, we need to add their respective probabilities. The probability of selecting either a red or brown almond M&M is 0.2 or 20%.
P(R or Br) = P(R) + P(Br)
From the table given, we know that the probability of selecting a Red almond M&M is 0.1 and the probability of selecting a Brown almond M&M is also 0.1. Therefore,
P(R or Br) = 0.1 + 0.1 = 0.2
So, the probability of selecting either a Red or a Brown almond M&M is 0.2 or 20%.
In summary, to find the probability of selecting either one event or another event, we add their probabilities together. In this case, the probability of selecting a Red or a Brown almond M&M is 0.2 or 20%.
To find the probability of selecting either a red (R) or brown (Br) almond M&M, you can simply add the individual probabilities for each color since they are mutually exclusive events (selecting one does not affect the other).
According to the given probability distribution, the probability of selecting a red M&M (R) is 0.1, and the probability of selecting a brown M&M (Br) is 0.1.
So, to find the probability of selecting either a red or brown M&M (P(R or Br)), you can use the formula:
P(R or Br) = P(R) + P(Br)
Plugging in the given probabilities:
P(R or Br) = 0.1 (for R) + 0.1 (for Br)
P(R or Br) = 0.2
So, the probability of selecting either a red or brown almond M&M is 0.2 or 20%.
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I need some help please, How can you map figure P onto figure Q?
Answer:
6 units right
Step-by-step explanation:
To translate figure P onto figure Q, just translate the figure 6 units to the right.
Pls help i give crown
Answer: 6 cups
Step-by-step explanation:
A student found the value of the expression
10
1
4
−
6
7
8
.
The student subtracted the whole numbers first and then subtracted the lesser fraction from the greater fraction to find the answer.
Which steps correct the error in the student’s thinking?
The steps correcting the error;
Step 1: Convert the mixed fraction to improper fractions
Step 2: Find the lowest common factor
27/8
What is a fraction?A fraction can be defined as the part of a whole number, variable or element.
The different types of fractions are;
Simple fractionsComplex fractionsProper fractionsImproper fractionsMixed fractionsFrom the information given, we have that;
10 1/4 - 6 7/8
First, convert the mixed fractions to improper fractions, we have that;
Multiply the numerator of the fraction by the whole number then add the numerator
41/4 - 55/8
Find the LCM
82 - 55 /8
subtract the value
27/8
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Urgent!! Will give brainliest :)
The better statistics to compare the distribution are given as follows:
A. Mean and standard deviation.
How to calculate the mean of a data-set?The mean of a data-set is given by the sum of all observations in the data-set divided by the cardinality of the data-set, which represents the number of observations in the data-set.
The standard deviation of a data-set is calculated as square root of the sum of the differences squared between each observation and the mean of the data-set, divided by the cardinality of the data-set.
These two measures should be used as both distributions in this problem are symmetric, meaning that they do not contain outliers.
If the distribution contained outliers, then the median and the IQR should have been used.
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Could anyone help me with this?
For the given right angle triangle ABC (A) option is the correct answer.
We have,
A right triangle, also known as a right-angled triangle, or more technically an orthogonal triangle, was originally known as a triangle, is a triangle with one right angle and two perpendicular sides. Trigonometry is based on the relationship between the sides and various angles of a right triangle.
What is the correct statement for right triangle ABC ?
Cos A = Sin ( 90˚- A )
Since at 90˚ Sine function convert into cosine function and (90˚- A) results in first quadrant where sine function is positive.
Therefore Cos A = Cos A
Hence the correct option is (a) option Cos A = Sin ( 90˚- A )
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complete question:
attached below.
(b) A different circle has a circumference of 120 cm.
What is the radius of the circle?
You must show your working.
Answer:
r≈19.1cm
Step-by-step explanation:
Using the formula
C=2πr
Solving forr
r=C
2π=120
2·π≈19.09859cm
Hope this helps
Water is being pumped into a pool at a constant rate P(t):
P(t)
=1170 gal/hour
- for 10 hours, where t is the number of hours since pumping began. The pool contained 1200 gallons of water at t= 0. However, there is a crack in the pool that is
getting larger over time. Water leaks from the pool at a rate L(t):
L(t)=0.3e' gal/hour
_during the same 10 hours.
a. What is the rate of change of water in the pool at t=5 hours?
b. Write an integral expression to calculate the total volume of water in the pool at t= 10 hours. Calculate the volume of water in the pool at t= 10 hours in
gallons.
c. What is the average rate of change of water in the pool over the 10 hours? Indicate units.
d. Find the absolute maximum volume of water, in gallons, in the pool over the interval, 0
Correct answers -
a.Rate of change of water in the pool at t= 5 hours
b. Total volume of water in the pool at t=10 hours
c. Average rate of change of water in the pool = 389.31 gallons/hour
To answer the given questions, let's go step by step:
a. To find the rate of change of water in the pool at t=5 hours, we need to calculate the difference between the rate of water being pumped into the pool and the rate of water leaking from the pool at that specific time.
Rate of change of water in the pool at t=5 hours = P(5) - L(5)
P(5) = 1170 gal/hour (given)
L(5) = [tex]0.3e^5[/tex] gal/hour (given)
Substituting the values into the equation:
Rate of change of water in the pool at t= 5 hours = 1170 - [tex]0.3e^5[/tex]
b. To write an integral expression to calculate the total volume of water in the pool at t=10 hours, we need to integrate the rate of water being pumped into the pool over the time interval [0, 10] and subtract the integral of the rate of water leaking from the pool over the same interval.
Total volume of water in the pool at t=10 hours = ∫[0,10] P(t) - ∫[0,10] L(t) dt
P(t) = 1170 gal/hour (given)
L(t) = [tex]0.3e^t[/tex] gal/hour (given)
Calculating the integrals:
∫[0,10] P(t) dt = ∫[0,10] 1170 dt = 1170t | [0,10] = 1170 × 10 - 1170 × 0 = 11700 gallons
∫[0,10] L(t) dt = ∫[0,10] 0.3[tex]e^t[/tex] dt = 0.3 ∫[0,10] [tex]e^t[/tex]dt = 0.3 ([tex]e^t[/tex]) | [0,10] = 0.3 × ([tex]e^{10} - e^0[/tex]) ≈ 0.3 × (22025 - 1) ≈ 6606.9 gallons
Total volume of water in the pool at t=10 hours = 11700 - 6606.9 ≈ 5093.1 gallons
c. To find the average rate of change of water in the pool over the 10 hours, we need to divide the change in volume by the time interval.
Average rate of change of water in the pool = (Change in volume) / (Time interval)
Change in volume = Total volume of water in the pool at t=10 hours - Initial volume of water in the pool
Change in volume = 5093.1 - 1200 = 3893.1 gallons
Time interval = 10 hours
Average rate of change of water in the pool = 3893.1 / 10 = 389.31 gallons/hour
d. To find the absolute maximum volume of water in the pool over the interval [0,10], we need to find the maximum value of the volume function within that interval.
To determine this, we can find the critical points by setting the derivative of the volume function equal to zero and check the endpoints of the interval.
Since the volume function is not provided, we cannot directly find the absolute maximum volume without additional information.
Final answers-
a.Rate of change of water in the pool at t= 5 hours
b. Total volume of water in the pool at t=10 hours
c. Average rate of change of water in the pool = 389.31 gallons/hour
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Help please, due today
Answer:
3 ways
Step-by-step explanation:
Using the arrows that they gave us, (which are the directions). The only possible ways are 3. Which I have shown in the screenshot attached below.
If we were to try to do it another time using the directions, it wouldn't work and we would most likely skip a step
Hope I helped!
8. Two functions are shown below.
f(x) = 3(2)*
g(x) = 6x
What is the sum of the x-values where f(x) = g(x)?
(Hint: Sum-add. They are equal where they cross/intersect.)
A. 1
B. 3
C. 5
D. 18
The sum of the x-values where f(x) = g(x) is 3
Calculating the sum of the x-values where f(x) = g(x)?From the question, we have the following parameters that can be used in our computation:
f(x) = 3(2)ˣ
g(x) = 6x
When f(x) = g(x), we have
3(2)ˣ = 6x
Solving for x, we have
x = 1 and x = 2
When these values are added, we have
Sum = 1 + 2
Evaluate
Sum = 3
Hence, the sum of the x-values where f(x) = g(x) is 3
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Nakeisha is raising money for a school trip by selling lollipops and fruit snacks. The price of each lollipop is $1.50 and the price of each fruit snack is $1.25. Yesterday Nakeisha made $18.25 from selling a total of 13 lollipops and fruit snacks. Determine the number of lollipops sold and the number of fruit snacks sold.
Nakeisha sold 8 lollipops and 5 fruit snacks to make a total of $18.25.
To solve this problemLet's fix this issue using a set of equations. Assume that x is the quantity of lollipops sold and y is the quantity of fruit snacks sold.
Then we have two equations based on the information given:
x + y = 13.(Total number of fruit snacks and lollipops sold)
1.5x + 1.25y= 18.25 (total amount of money earned)
To solve for x and y, we can use the substitution method :
x + y = 13 (equation 1)
1.5x + 1.25y = 18.25 (equation 2)
From equation 1, we have x = 13 - y. Substituting this into equation 2, we get:
1.5(13 - y) + 1.25y = 18.25
Simplifying and solving for y, we get
19.5 - 0.25y = 18.25
-0.25y = -1.25
y = 5
Nakeisha therefore sold 5 fruit treats. We may change y = 5 into equation 1 and solve for x to get the quantity of lollipops sold:
x + 5 = 13
x = 8
Therefore, Nakeisha sold 8 lollipops and 5 fruit snacks to make a total of $18.25.
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darwin's geometric ratio of increase pertains specifically to
Darwin's geometric ratio of increase pertains specifically to the growth rate of populations in biological organisms. According to Darwin's theory of evolution, populations have the potential to increase exponentially over time if certain conditions are met. The geometric ratio of increase, often denoted as "r" or the intrinsic rate of natural increase, represents the factor by which a population multiplies during each reproductive cycle or generation.
In the context of natural selection, individuals with higher reproductive rates (higher r-values) have a greater chance of passing on their genetic traits to the next generation. Over time, this can lead to significant population growth and evolutionary changes within a species. However, the geometric ratio of increase is limited by various factors, such as availability of resources, competition, predation, and environmental constraints, which can result in a balance between population growth and environmental carrying capacity.
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the first term of an a.p is 14 and the sum of the first five terms and the first ten terms are equal inmagnitude but opposite in sign. the 3rd term of the ap is:
The first term of an A.P is 14 and the sum of the first five terms and the first ten terms are equal in magnitude but opposite in sign. The 3rd term of the A.P is 70/11.
The first term of an A.P is 14. Let the common difference be d. Then the second term of the A.P is given by 14 + d. Similarly, the third term of the A.P is given by 14 + 2d.
The third term of the A.P.Solution:
Sum of the first 5 terms of the A.P can be expressed as:
5/2 [2a + (5 - 1) d] = 5/2 [2(14) + 4d] = 35 + 10d
Sum of the first 10 terms of the A.P can be expressed as:
10/2 [2a + (10 - 1) d] = 10/2 [2(14) + 9d] = 70 + 45d
According to the question, the sum of the first five terms and the first ten terms are equal in magnitude but opposite in sign. It can be written as follows: 35 + 10d = - (70 + 45d)
Simplifying the above equation, we get:
55d = -105⇒ d = -105/55 = -21/11
Substituting the value of d in 14 + 2d, we get:
14 + 2d = 14 + 2(-21/11) = 14 - 42/11= 112/11 - 42/11= 70/11
Hence, the third term of the A.P is 70/11.
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show a+c = b+d
............
a+c = b+d , because angle c = angle b and a = d
What are angles on parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Angles on parallel lines can be alternate, corresponding or verically opposite to each other. And when they have these properties, the angles are equal to reach other.
b = c , since b+y = 360 and c+y = 360
and also a + x = 180
d + x = 180
therefore a = d
Therefore;
in b+d , we can substitute c for a and b for c
therefore b+d = a+c
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Given the parent function
f(x)= 5ˣ
Describe the transformation for the function
g(x)=5ˣ -2
Answer:
Step-by-step explanation:
The transformation for the function g(x) = 5ˣ - 2 involves a vertical shift downward by 2 units compared to the parent function f(x) = 5ˣ. This is because the constant term (-2) is subtracted from the function. So, the graph of g(x) will be identical to the graph of f(x), except that it will be shifted downward by 2 units. Specifically, the point (0, 1) on the graph of f(x) will be shifted down to (0, -1) on the graph of g(x), and similarly, all other points on the graph will be shifted downward by 2 units.
4. If the equation (x + 10)x= 0 is true, which statement is also true according to the zero product
property?
A. Only x = 0
B. Either x = 0 or x + 10 =0
2
C. Either x = 0 or 10x = 0
D. Only x + 10 = 0
5. What are the solutions to the equation (10x) (3x - 9) = 0?
A.
10 and 3
-10 and 9
1
B.
C. 10 and 3
D 10 and 9
-
The correct statement according to the zero product property is the one in option B.
Which statement is also true according to the zero product property?The zero product property says that if the product of two numbers A and B is zero, then either A or (and) B are equal to zero.
Then if:
(x + 10)*x = 0
Then we have that either:
x = 0
or:
x + 10 = 0
x = -10
Then the correct option is B:
"Either x = 0 or x + 10 =0"
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I honestly have no clue what im saying here-
Answer:
the answer is lateral area
pls help if you can , it’s due at 12
Answer:
25.54
Step-by-step explanation:
SOH CAH TOA
v
Cos 0 = [tex]\frac{adj}{hyp}[/tex]
-------------------------------------------
11.
Cos 20° = [tex]\frac{adj}{hyp}[/tex]
Cos 20° = [tex]\frac{24}{x}[/tex]
*Rearrange*
[tex]x[/tex] = [tex]\frac{24}{Cos 20}[/tex]
*Cos 20° = 0.9397*
[tex]x[/tex] = [tex]\frac{24}{0.9397}[/tex]
[tex]x[/tex] = 25.5400659785
Nearest tenth: 25.54
Use the formula to find the surface area of the figure. Show your work.
Answer:
322 in²
Step-by-step explanation:
You want the surface area of the rectangular prism with edge lengths 7 in, 14 in, and 3 in.
AreaThe surface area can be computed using the formula ...
A = 2(LW +H(L +W))
A = 2(7·14 + 3(7 +14)) = 2(98 +63) = 322
The area of the prism is 322 square inches.
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Sophia spends a total of $6.30 on cheese. She buys 500g of Cheddar cheese and 200g of Stilton cheese. The cost of the Cheddar cheese is $9.20 for 1kg. Work out the cost of 1kg of the Stilton cheese
Answer:
The price would be 7.20
Step-by-step explanation:
One popular activity that tourists participate in when they visit Alaska is panning for gold. A gift shop by the panning center sells blocks of clay. The packaging on the clay claims that one in five blocks contains gold. A frequent purchaser of this item believes that this is an overstatement. To investigate, he purchases a random sample of 50 blocks from the large display in the store and finds that 8 of the blocks contain gold.
Based on this sample, is there convincing evidence that the true proportion of blocks that contain gold is less than 0.20? Use = 0.10. Provide statistical evidence to support your answer.
There is convincing evidence to support the conclusion that the true proportion of blocks that contain gold is less than 0.20.
How to explain the hypothesisThe null hypothesis is that the true proportion of blocks that contain gold is equal to 0.20. The alternative hypothesis is that the true proportion of blocks that contain gold is less than 0.20.
The test statistic is calculated as follows:
z = (p - p₀) / √(p₀(1-p₀) / n)
The test statistic is equal to -2.00.
The p-value is calculated as follows:
p-value = 2 * P(Z < -2.00)
The p-value is equal to 0.0477.
Since the p-value is less than the significance level of 0.10, we reject the null hypothesis. Therefore, there is convincing evidence to support the conclusion that the true proportion of blocks that contain gold is less than 0.20.
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It would take 1 person 70 days of work to
build a house extension.
2 people have been working for 7 days on
this house extension.
a) How many days would it have taken 1
person to do this amount of work?
b) How many days would it take 1 person to
finish building this house extension?
Answer:
a) It would have taken 1 person 14 days to do this amount of work.
b) It would take 1 person 56 days to finish building this house extension.
We know that 1 person can build a house extension in 70 days. This means that in 1 day, 1 person can do 1/70 of the work. In 7 days, 2 people can do 2 * 7 * 1/70 = 2/10 of the work. This means that 1 person can do 1/10 of the work in 7 days. To finish the remaining 8/10 of the work, 1 person would need 7 * 8 = 56 days.
Step-by-step explanation:
Someone help me how to do this? I don’t remember
The value of x such that f(x) = -24 is given as follows:
x = -3.
How to solve the function?The exponential function in the context of this problem is defined as follows:
[tex]f(x) = -3(0.5)^x[/tex]
The numeric value of the function is given as follows:
f(x) = -24.
Hence we can equal the definition to -24 to obtain the value of x, as follows:
[tex]-3(0.5)^x = -24[/tex]
[tex]0.5^x = 8[/tex]
We have that:
2³ = 8.[tex]0.5^x = 2^{-x}[/tex]Hence:
[tex]2^{-x} = 2^3[/tex]
x = -3.
Which is the solution to the exponential function in this problem.
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