La intensidad de la luz afecta la tasa de fotosíntesis, cuanto mayor es la intensidad de la luz, mayor es la tasa de fotosíntesis y viceversa. ver explicacion.
What is plant growth?Important structures in plant development are buds, shoots, roots, leaves, and flowers; plants produce these tissues and structures throughout their life from meristems located at the tips of organs, or between mature tissues. Thus, a living plant always has embryonic tissues.
La fotosíntesis es el proceso mediante el cual las plantas verdes fabrican su propio alimento en presencia de luz solar, clorofila, dióxido de carbono y agua.
La intensidad de la luz afecta la tasa de fotosíntesis, cuanto mayor es la intensidad de la luz, mayor es la tasa de fotosíntesis y viceversa. Cuando hay una mayor intensidad de luz, hay más luz disponible para impulsar las reacciones de la fotosíntesis.
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Th second number is 3 less than twice the first
Answer:
Step-by-step explanation:
If we represent the first number as "x", then the second number can be represented as "2x-3".
For example, if the first number is 5, then the second number would be 2(5)-3 = 7.
Alternatively, if the first number is 10, then the second number would be 2(10)-3 = 17.
In general, we can say that the second number is equal to twice the first number minus 3.
Pet shelters typically have special adoption events for black cats and dogs, since their adoption rate is lower. One specific pet shelter (which has only cats and dogs) has 40% cats and 60% dogs. Twenty percent of the cats are black, and 10% of the dogs are black. The adoption percentage for black cats is 5%, and for black dogs is 10%. Cats that are not black are equally likely to be adopted as not adopted, and this is the same for dogs that are not black. For (b)-(f), write the probability statement and then calculate your answer.
a) Draw the probability tree and label all events and probabilities in it.
b) What is the probability that a randomly chosen animal is not black, a dog, and is adopted?
c) What is the probability that a randomly chosen animal is black, a cat, and is not adopted?
d) What is the probability that a randomly chosen animal is adopted?
e) Suppose a randomly chosen animal is a cat, what is the probability that it is adopted?
f) Suppose a randomly chosen animal is adopted, what is the probability that it is a cat?
a) The pet shelter has 40% cats (20% black, 5% adopted), and 60% dogs (10% black, 10% adopted). 50% are adopted in non-black cats and dogs, b) 0.45, c) 0.19, d) 0.15, e) 0.375, f) 0.6.
a) The probability tree would seem like this:
P(Cat) = 40%
P(Black Cat) = 20%
P(Adopted Black Cat) = 5%
P(Not Adopted Black Cat) = 95%
P(Not Black Cat) = 80%
P(Adopted Not Black Cat) = 50%
P(Not Adopted Not Black Cat) = 50%
P(Dog) = 60%
P(Black Dog) = 10%
P(Adopted Black Dog) = 10%
P(Not Adopted Black Dog) = 90%
P(Not Black Dog) = 90%
P(Adopted Not Black Dog) = 50%
P(Not Adopted Not Black Dog) = 50%
b) P ( Adopted & Not Black Dog ) = P(Not Black Dog) x P(Adopted | Not Black Dog) = 0.90 * 0.50 = 0.45
c) P(Not Adopted & Black Cat) = P(Black Cat) x P(Not Adopted | Black Cat) = 0.20 * 0.95 = 0.19
d) P(Adopted) = P(Adopted Black Cat) + P(Adopted Not Black Cat) + P(Adopted Black Dog) + P(Adopted Not Black Dog) = 0.05 + 0.50 + 0.10 + 0.50 = 0.15
e) P(Adopted | Cat) = P(Adopted & Cat) / P(Cat) = (0.05 + 0.50) / 0.40 = 0.375
f) P(Cat | Adopted) = P(Cat & Adopted) / P(Adopted) = (0.05 + 0.50) / 0.15 = 0.6.
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photo attacthed! please help quick!
The missing values in the table are
3/2, 4/3 and 4/9
How to find the missing valuesThe table shows a proportion of
oats = flours * 4/9
the proportion was gotten from
1/3 / 3/4 = 4/9
The missing parts are
let the missing value be x
x * 4/9 = 2/3
x = 2/3 / 4/9
x = 3/2
3 * 4/9 = x
x = 4/3
1 * 4/9 = x
x = 4/9
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For each value of y, determine whether it is a solution to 22 ≤-7y+1
A.-3 B. 4 C. 9 D. -9
The solution of the inequality is -3.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
22 ≤-7y+1
Solving the inequality
22 ≤-7y+1
22 - 1 ≤-7y
21 ≤-7y
21/7 ≤-y
3 ≤-y
y≤ -3.
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Find each value or measure. Assume that segments that appear to be tangent are tangent.
The measure of arc AD is 25°.
AC and BD are chords of the circle. The two chords intersect at the point E which makes an angle 93°. The measure of arc BC is 161°. To find the measure of arc AD:
The measure of arc AD by using the property that "if two chords intersect in the interior of the circle, then the measure of each angle is half the sum of the arcs intercepted by the angles and its vertical angle".
Thus, applying the above theorem:
93° = 1 /2 (arcBC + arcAD)
Here, measure of angle E is 93°.
93° = 1 / 2( 161 + AD)
93 = 161 / 2 + AD / 2
93 = 161/ 2 + AD/2
solving further ( multiplying equation by 2 on both sides)
186 = AD + 161
AD = 186 - 161
arc AD = 25°
So, the measure of arc AD is 25°.
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____The given question is incomplete, the complete question is given below:
Find each value or measure. Assume that segments that appear to be tangent are tangent. Find arc AD.
In an experiment, a 5-kg mass is suspended from a spring. The displacement of the spring-mass equilibrium from the spring equilibrium is measured to be 75 cm. The mass is then displaced 36 cm upward from its spring-mass equilibrium and then given a sharp downward tap, imparting an instantaneous downward velocity of 0.45 m/s. Set up (but do not solve) the initial value problem that models this experiment. Assume no damping is present.
I have the following answer: 5y''=-65.3y+49 y(0)=-0.36 y'(0)=0.45
Can anyone confirm that this is correct, or show me where I went wrong?
The correct initial value problem is: y'' + (9.81/0.75) y = 0, y(0) = -0.36, y'(0) = -0.45.
Here's how you can set up the initial value problem
Let y(t) be the displacement of the mass from its spring-mass equilibrium position at time t. Then, the force acting on the mass is given by Hooke's Law:
F = -ky
where k is the spring constant.
Since the mass is at rest at its equilibrium position, the force acting on it is balanced by the force of gravity.
mg = ky_eq
where y_eq is the equilibrium position of the spring-mass system.
Substituting F = -ky into the equation and solving for k, we get:
k = mg/y_eq
Substituting k and the values given, we get:
y'' + (9.81/0.75) y = 0
where y'' is the second derivative of y with respect to time.
When the mass is displaced 36 cm upward from its spring-mass equilibrium and then given a sharp downward tap, the initial conditions are:
y(0) = -0.36 m
y'(0) = -0.45 m/s (note that the velocity is downward, so it's negative)
Therefore, the initial value problem that models this experiment is:
y'' + (9.81/0.75) y = 0
y(0) = -0.36
y'(0) = -0.45
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f(x)=x+6, g(x)=x-6
Verify that f and g are inverse functions
The functions f and g are inverse functions because f(g(x)) = g(f(x)) = x
How to verify that f and g are inverse functionsFrom the question, we have the following parameters that can be used in our computation:
f(x) = x + 6
g(x) = x - 6
To determine the inverse function, we calculate
f(g(x)) and g(f(x))
Using the above as a guide, we have the following:
f(g(x)) = x + 6 - 6 = x
g(f(x)) = x + 6 - 6 = x
So, we have
f(g(x)) = g(f(x)) = x
Hence, the functions are inverse functions
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For a certain company, the cost function for producing a items is C (a) = 50 x + 150 and the revenue function for selling a items is R (a) = -0.5(⅜ - 110)2 + 6,050. The maximum capacity of the company is 150 items.
Since the optimal production level is within the company's maximum capacity of 150 items, the company should produce and sell 75 items to maximize profit.
What are functions?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
According to question:To find the optimal production level a that maximizes profit, we need to determine the point at which marginal revenue equals marginal cost.
The marginal cost function is the derivative of the cost function, which is C'(a) = 50.
The marginal revenue function is the derivative of the revenue function, which is R'(a) = -0.5(3/8 - 110).
Setting these two equal and solving for a gives:
50 = -0.5(3/8 - 110)
a = 75
Since the optimal production level is within the company's maximum capacity of 150 items, the company should produce and sell 75 items to maximize profit.
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box with 2 red and 1 blue ball pick one randomly and replace with blue what is the expected number to get rid of all red balls
The expected number is 1, that means that if you randomly pick one ball and replace it with a blue ball, then you have a greater than 50/50 chance of eliminating all the red balls.
The expected number of blue balls needed to eliminate all red balls is calculated using the formula[tex]n = (x-1)/(y-1)[/tex]. In this scenario, x = 3 (the total number of balls in the box) and y = 2 (the number of red balls). Therefore, n = (3-1)/(2-1), which equals 1. So, the expected number of blue balls needed to eliminate all red balls is 1.
To illustrate this, imagine a box with 3 balls: 2 red and 1 blue. If you randomly pick one ball and replace it with a blue ball, then you have a 50/50 chance of eliminating all the red balls. If the ball you pick is red, then you need to pick another ball and replace it with a blue ball to get rid of the remaining red ball. This means that you need a total of 2 blue balls to get rid of all the red balls. However, since the expected number is 1, that means that if you randomly pick one ball and replace it with a blue ball, then you have a greater than 50/50 chance of eliminating all the red balls.
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complete question
What is the expected number of blue balls needed to eliminate all red balls from a box with 3 balls, 2 of which are red?
What is the image point of (-6, 1) after the transformation R180 0 D4?
O
The image point will be (0, -4).
How to transform 180 counterclockwise?When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.
Given:
Coordinate of a point → (0, 1)
Rule for the transformation has been given as,
[tex]R_{180[/tex] o D₄
First use [tex]R_{180[/tex] → Rotation of the point by 180° counterclockwise
Rule :
(x, y) → (-x, -y)
(0, 1) → (0, -1)
Now, D₄ → Dilation of the point by a scale factor of 4 about the origin
If a point (x, y) is dilated by a scale factor 'k' about the origin rule for the dilation is,
(x, y) → (kx, ky)
By applying this rule,
(0, -1) → (0, -4)
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Solve the system of equations using elimination: 5 � + 4 � = − 4 5x+4y=−4 and 4 � + 4 � = 4 4x+4y=4.
The solution to the system of equations is x = -8, y = 9.
To solve the system of equations by elimination, we must manipulate the two equations so that when the equations are added or subtracted, one of the variables is eliminated.
One method is to multiply one or both equations by a constant, resulting in opposite coefficients for one of the variables. In this case, we can multiply the first equation by 4 and the second equation by -5, yielding the following y coefficients:
code :
(4)(5x + 4y = -4) => 20x + 16y = -16 (-5)
(4x + 4y = 4) => -20x - 20y = -20
We can now combine the two equations to eliminate y:
code :
20x + 16y = -16 \s-20x - 20y = -20 \s———————
0x - 4y = -36
When we simplify the result, we get:
code :
-4y = -36 y = 9
Now we can plug y = 9 back into one of the original equations to find x. Let's look at the first equation:
code :
5x+4y = -4 5x+4(9) = -4 5x+36 = -4 5x = -40 x = -8
As a result, the system of equations solution is x = -8, y = 9.
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An airplane on a transatlantic flight took 2 hours 30 minutes to get form New York to its destination, a distance of 3,000 miles. To avoid a storm, however, the pilot went off his course, adding a distance of 600 miles to the flight. How fast did the plane travel?
A) 1440mph
B) 1461mph
C) 1480mph
D) 1466mph
E) 1380mph
Please Help
Answer:
We can use the formula:
distance = rate x time
The total distance traveled by the plane is 3,000 + 600 = 3,600 miles. The time it took to cover this distance is 2 hours and 30 minutes, or 2.5 hours. So we have:
3,600 = rate x 2.5
Solving for the rate, we get:
rate = 3,600 / 2.5 = 1440 mph
Therefore, the answer is (A) 1440mph
El agua de un recipiente varía su temperatura de 12 °C a 38°C, cuando se le transfieren 205 calorías. ¿Cuál es la masa de agua en el recipiente?
The mass of the water is 7880.1 grams.
What is specific heat capacity?Specific heat capacity is the amount of heat energy required to raise the temperature of a substance per unit of mass.
Mathematically -
Q = mcΔT
where -
{Q} = heat energy
{m} = mass
{c} = specific heat capacity
{ΔT} =change in temperature
Given is the water in a container changes its temperature from 12°C to 38°C, when 205 calories are transferred to it.
Specific heat capacity of water = 4.186 J/g°C
205 calories = 857720 Joules
We can write -
Q = mcΔT
857720 = m x 4.186 x (38 - 12)
857720 = 108.836 x m
m = 857720/108.836
m = 7880.1 grams
Therefore, the mass of the water is 7880.1 grams.
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{QUESTION IN ENGLISH -
The water in a container changes its temperature from 12°C to 38°C, when 205 calories are transferred to it. What is the mass of water in the container?}
HELP PLEASE! Find the surface area of the composite shape. Round to the nearest tenth.
The surface area of the composite figure is 415. 25 in²
How to determine the surface area of the composite structureFrom the image shown, we can see that the figure is made up of a cuboid and a semicircle.
The formula for calculating the surface area of a cuboid is given as;
Surface area =2lw+2lh+2hw
Given that, l is the length, h is the height and w, the width.
Surface area = 2(6×10) + 2(6×8) + 2(8 × 10)
expand the brakect
Surface area = 120 + 96+ 160
Surface area = 376 in²
Surface area of a semicircle = 1/2(πr2 ),
Substitute the values
Surface area = 1/2 ×22/7 ×5² = 39.25 in²
Hence, the value is the sum of the surface areas
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3.1 calculate the sum of vectors a and c from part 2. show all formulas and calculations (insert your calculations in the lab report)
The matching parts of vectors a and c to find a + c. For instance, (1, -2, 4) + (2, 3, -1) = (3, 1, 3).
The equations and calculations to determine the vectors a and c's sum are as follows:
Assume that vector an is shown as (a1, a2, a3) and that vector c is shown as (c1, c2, c3).
Then, by adding each of their respective components, it is possible to determine the vectors a and c's sum, denoted as a + c:
A plus C equals (A+C1, A+C2, A+C3, etc.)
For instance, if a = (2, 3, -1) and c = (1, -2, 4), we can use the following formula to get their sum:
a + c = (2 + 1, 3 - 2, -1 + 4) = (3, 1, 3) (3, 1, 3)
As a result, the vectors a and c's sum is (3, 1, 3).
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senior management of a consulting services firm is concerned about a growing decline in the firm's weekly number of billable hours. the firm expects each professional employee to spend at least 40 hours per week on work. in an effort to understand this problem better, management would like to estimate the standard deviation of the number of hours their employees spend on work-related activities in a typical week. rather than reviewing the records of all the firm's full-time employees, the management randomly selected a sample of size 51 from the available frame. the sample mean and sample standard deviations were 48.5 and 7.5 hours, respectively. construct a 88% confidence interval for the mean of the number of hours this firm's employees spend on work-related activities in a typical week. place your lower limit, in hours, rounded to 1 decimal place, in the first blank. for example, 6.7 would be a legitimate entry. place your upper limit, in hours, rounded to 1 decimal place, in the second blank. for example, 12.3 would be a legitimate entry.
The population standard deviation representing the number of hours spend by the employees on work related activities in a typical week for 88% confidence interval is equal to [ 46.862 , 50.138 ].
Mean '[tex]\bar{x}[/tex]' = 48.5 hours
Standard deviation 'σ' = 7.5 hours
Confidence interval = 88%
Level of significance = 100 - 88%
= 12%
= 0.12
Z-score at 88% confidence interval = 1.56
sample size 'n' = 51
Population standard deviation
= [tex]\bar{x}[/tex] ± [tex]Z_{\alpha /2}[/tex] (σ / √n )
= 48.5 ± 1.56 ( 7.5 / √51 )
= 48.5 ± 1.56 ( 7.5 / 7.14)
= 48.5 ± 1.56 ( 1.05 )
= 48.5 ± 1.638
= [ 46.862 , 50.138 ]
Therefore, the number of hours spend on work related activities in a typical week given by population standard deviation is equal to [ 46.862 , 50.138 ].
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what is 2/3 of 3/7 in math
Answer:
(2x3) / (3x7) = 6/21
We simplify to get 2/7
Answer: 5/21 ?
im not 100% sure this is correct but I think so. sorry if its wrong
find the exact value of all six trigonometric functions of an acute angle, in standard position if the radius is 6 and the x coordinate is 5
The exact value of all six trigonometric functions:
sin(θ) = 0.55
cos(θ) = 0.83
tan(θ) = 0.66
cot(θ) = 1.51
sec(θ) = 1.2
cosec(θ) = 1.81
Let us assume that x represents the horizontal distance(x-axis), y represents the vertical distance and r be the radius.
here, r = 6 units and x = 5 units
Using Pythagoras theorem,
y = [tex]\sqrt{r^2-x^2}[/tex]
y = [tex]\sqrt{6^2-5^2}[/tex]
y = 3.32 units
Now we find the exact value of all six trigonometric functions.
Let us assume that θ be an angle made by radius with positive x-axis.
sin(θ) = y/r
sin(θ) = 3.32 / 6
sin(θ) = 0.55
cos(θ) = x/r
cos(θ) = 5/6
cos(θ) = 0.83
tan(θ) = y/x
tan(θ) = 3.32 / 5
tan(θ) = 0.66
cot(θ) = x/y
cot(θ) = 5/3.32
cot(θ) = 1.51
sec(θ) = r/x
sec(θ) = 6/5
sec(θ) = 1.2
cosec(θ) = r/y
cosec(θ) = 6/3.32
cosec(θ) = 1.81
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find the derivative of the following function using the definition. no credit will be given for using derivative rules. f(x)= 1/ (1+x^2). please solve and explain
Strictly using the limit definition of the derivative to find the derivative of the function:
The limit definition of the derivative looks like this:
[tex]\lim_{h \to \zero} \frac{f(x+h) - f(x) }{h}[/tex]
If we replace f(x) with −3x, we get:
[tex]\lim_{h \to \zero} \frac{-3(h+x) - 3x }{h}\\\\\lim_{h \to \zero} \frac{-3h-3x) - (-3x) }{h}\\[/tex]
Simplifying, we get:
[tex]\lim_{h \to \zero} \frac{-3h }{h}\\[/tex]
So, the derivative of −3x must be −3.
We know that the secondary means the rate of change of the function. Graphically, this means that the outgrowth is the pitch of the graph of that function.
Since −3x is a first degree polynomial, we know that it'll always have the same pitch, and therefor the same outgrowth. We can also corroborate this by looking at the graph, noticing that it's a straight line:
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Neda sells televisions. She earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. If Neda sells 17 televisions with extended warranties, she earns $1,445. How much is the fixed amount Neda earns for each television?
Answer:
$60 per TV sold
Step-by-step explanation:
Multiply $25 by 17 to find out how much she earned from the extended warranties
so 25 x 17 = 425
1445-425= 1020
now divide 1020 by 17 to find out how much neda earned from each TV
1020/17 = 60
SH . Given f(x)=x²-3x and g(x)=2x-5, find each value. a. f(-4) b. g(1)-f(-3) c. f(g(-4))
a. To find f(-4), we simply substitute -4 for x in the function f(x):
f(-4) = (-4)² - 3(-4) = 16 + 12 = 28
Therefore, f(-4) = 28.
b. To find g(1)-f(-3), we first need to find g(1) and f(-3) separately.
g(1) = 2(1) - 5 = -3
f(-3) = (-3)² - 3(-3) = 9 + 9 = 18
Then, we can substitute these values into the expression:
g(1)-f(-3) = -3 - 18 = -21
Therefore, g(1)-f(-3) = -21.
c. To find f(g(-4)), we first need to find g(-4) and then substitute this value into f(x).
g(-4) = 2(-4) - 5 = -8 - 5 = -13
Then, we can substitute -13 for x in the function f(x):
f(g(-4)) = (-13)² - 3(-13) = 169 + 39 = 208
Therefore, f(g(-4)) = 208.
According to AAA ('Triple' A), the median amount that Americans spent over the 2012 Labor Day Holiday was $761.00. Consider the pie chart below.
A -- Fuel Transportation
B -- Other Transportation
C -- Food and Beverage
D -- Shopping
E -- Entertainment/Recreation
F -- Hotel
G -- Other
Express your answers rounded to the nearest cent.
a). How much money did the average American spend on Food & Beverage over the 2012 Labor Day Holiday?
b). How much money did the average American spend on Entertainment/Recreation over the 2012 Labor Day Holiday?
c). How much more money did the average American spend on Food & Beverage than on Entertainment/Recreation over the 2012 Labor Day Holiday?
a. The average American spend on Food & Beverage is $152.2. b. The average American spend on Entertainment/Recreation is $98.93. c. They spent $53.27 more on food than on entertainment.
What is pie chart?In order to show mathematical issues, the "pie chart," often referred to as a "circle chart," divides the circular statistical visual into sectors or portions. A proportionate amount of the entire is indicated by each sector. The Pie-chart is now the most effective method for determining the composition of something. Pie charts typically take the role of other graphs, such as bar graphs, line plots, histograms, etc.
Given that, the average American spent $761.00.
a. Money spent on Food and Beverages is:
F = 761(20/100) = $152.2
b. Money spent on Entertainment is:
E = 761(13/100) = $98.93
c. The money spent on food is more than entertainment by:
A = 152.2 - 98.93 = $53.27
Hence, a. The average American spend on Food & Beverage is $152.2. b. The average American spend on Entertainment/Recreation is $98.93. c. They spent $53.27 more on food than on entertainment.
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given the following data, find the weight that represents the 45th percentile. weights of newborn babies 7.8 5.5 7.6 8.3 7.1 7.3 8.6 7.4 8.5 7.7 6.5 9.4 8.4 8.1 6.5
The 45th Percentile from the data is 7.65
Percentiles are a method for dividing data into 100 equal parts. So, there are 99 percentile values.
single data percentile formula is
Px = [tex]\frac{x (y+1)}{100}[/tex]
Px = Percentile x
y = lots of data
How to find the 45th percentile weight of newborn babies?
first, we must be sorted from the smallest to the largest.
5.5 6.5 6.5 7.1 7.3 7.4 7.6 7.7 7.8 8.1 8.3 8.4 8.5 8.6 9.4
After sorting the data, we can plug it into a single data percentile formula
Px = P45
x = 45
y = 15
P45 = [tex]\frac{45 (15+1)}{100}[/tex]
P45 = [tex]\frac{36}{5}[/tex]
P45 = 7.2
The 45th percentile is in the order of the 7th & 8th digits
the order of the 7th & 8th numbers is 7.6 & 7.7
after that we average the 7th & 8th numbers to find out the 45th percentile value
[tex]\frac{7.6 + 7.7}{2}[/tex] = [tex]\frac{15.3}{2}[/tex] = 7.65
the 45th percentile of newborn weight data is 7.65
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Can someone help me please another graph
Step-by-step explanation:
the function
Kendal(x) = y = 90
is just a flat line (that's why people call it a flat rate). it does not matter how many hours it takes, it costs the same.
the function
Mona(x) = 10x + 70
as we know, $10 per hour, plus $70 for the material, which is the same cost no matter how many hours it takes.
the solution, when both cost the same, means again both functions are equal at that point :
90 = 10x + 70
20 = 10x
x = 20/10 = 2 hours
after 2 hours both cost the same : $90.
the graphic should look like the attached picture.
the flat line is at y = 90. that means it is a horizontal line that goes through the y gridline marker 90.
just draw the line along the y 90 gridline from left to right.
Mona's graph goes through the solution point (2, 90) and the point for x = 0 : (0, 70) because y = 10×0 + 70 = 70.
for (0, 70) you go from 0 the y-axis straight up to the gridline marker 70 and mark the point there.
for (2, 90) you go on the x-axis from 0 to the right to the gridline marker 2. from there you go straight up to the y gridline 90. and you mark the point there.
and both lines intersect at (2, 90), which is the solution.
can you see and understand it now how that works ?
The cost is $90
What is graphing?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
The function for Kendal(x) is:- y = 90
The function for Mona(x) :- 10x + 70
$10 per hour, plus $70 for the material
The solution, when both cost the same, means again both functions are equal at that point :
90 = 10x + 70
20 = 10x
x = 20/10 = 2 hours
after 2 hours both cost the same : $90.
Graph the lines both lines intersect at (2, 90), which is the solution.
Hence, the cost is $90
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Calculate the area of each triangle using two different methods. Figures are not drawn to scale.
Who ever give me the answer gets extra points
The areas of the triangles are as follows:
1. 52.5 ft²
2. 369 inches²
How to find the area of a triangle?The area of a triangle can be represented as follows:
area of a triangle = 1 / 2 bh
where
b = base of the triangleh = height of the triangleTherefore, let's find the areas of the triangle using the formula as follows:
1.
area of the triangle = 1 / 2 × 15 × 7
area of the triangle = 1 / 2 × 105
area of the triangle = 52.5 ft²
2.
area of the triangle = 1 / 2 × 41 × 18
area of the triangle = 1 / 2 × 738
area of the triangle = 369 inches²
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A store can print your soccer team's name on 12 T-shirts in 10 minutes you want to buy 30 T-shirts how long will it take the store to print 30 T-shirts if the T-shirts are always printed at the same rate
Answer:
Step-by-step explanation:
12 In 10 min
30 in 25mins
It will take the store 25 mins
12+12+6=30 t shirts
10+10+5=25mins
Andre said he is thinking of a 2-digit number. He makes the number from tens and ones in 8 different ways. In one way, there is 1 more ten than there are ones. What is Andre's number? Show your thinking using drawings, numbers, or words.
Andre's number is 43.
What is Andre's number?Generally, Let's call the tens digit of Andre's number "t" and the ones digit "o".
We know that Andre can make the number in 8 different ways. This means that there are 8 different combinations of t and o that can make up the number.
One of these ways has 1 more ten than ones, which means that the number is 10 more than the sum of the digits. In other words:
t + o + 10 = 10t + o + 1
Simplifying this equation, we get:
9t = 9o + 9
Dividing both sides by 9, we get:
t = o + 1
This means that the tens digit is 1 more than the ones digit, which narrows down our possibilities.
Since the number is a 2-digit number, the tens digit must be between 1 and 9 (inclusive), and the ones digit must be between 0 and 9 (inclusive). We also know that the tens digit is 1 more than the ones digit.
Using these constraints, we can create a table of all the possible combinations of t and o that satisfy these conditions:( table attached below)
Out of these 8 numbers, only one of them can be made in a way where there is 1 more ten than ones. Looking at the table, we can see that the number is 43, since it is the only number where the tens digit is 1 more than the ones digit, and it can be made by combining the digits in a way where there is 1 more ten than ones (i.e., 3 tens and 4 ones).
Therefore, Andre's number is 43.
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Suppose a researcher Is Interested in the effects of a new treatment on extraversion. She randomly selects four participants (n=4), Implements the new treatment, and asks them to complete a personality test. The participants achieve the mean score of M- 115 on the test. The personality test has the population mean of μ- 100 and a-30. Is the sample mean an especially unlikely result based on the population parameters for the personality test? That is, can the researcher conclude that the new treatment has an effect on extraversion? Show your work.
A one-sample t-test can be used to determine whether the sample mean of M=115 is a particularly improbable outcome given the population parameters.
The test's null hypothesis is that the new treatment has no impact on extraversion, in which case the population mean remains at or above 100. The alternative theory is that the new treatment has an impact on extraversion, causing the population mean to deviate from the reference value of 100.
Using the following method, we can determine the test's t-statistic:
(M - ) / (s / sqrt(n)) t
Where M denotes the sample mean, denotes the population mean, s denotes the population standard deviation, and n denotes the sample number.
By entering the numbers we have:
t = (115 - 100) / (30 / sqrt(4)) = 3.33
The measure has n-1 = 3 degrees of freedom. We can use a calculator to determine the critical t-value, which is roughly 3.182, using a two-tailed t-test with alpha = 0.05 and 3 degrees of freedom.
The sample mean is a particularly improbable result based on the population parameters for the personality test because the calculated t-value of 3.33 is higher than the critical t-value of 3.182, and we can therefore reject the null hypothesis.
The evidence from the sample allows the researcher to draw the conclusion that the novel treatment has an impact on extraversion.
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81 x 62
Not sure how to do this lol
Answer:
5,022
Step-by-step explanation:
My sister is buying new carpet for her bedroom floor. The length of the bedroom is 13 feet. The area of the bedroom is 175.5 square feet. How wide is my sister's bedroom?