Answer:
Option A, \(385.0\ ft^2\)
Step-by-step explanation:
Step 1: Determine the area of the base
\(A = l * w\)
\(A = 11\ ft * 11\ ft\)
\(A = 121\ ft^2\)
Step 2: Determine the area of the triangles
\(A = \frac{h * b}{2}\)
\(A = \frac{12\ ft * (11\ ft / 2)}{2}\)
\(A = \frac{12\ ft * 5.5\ ft}{2}\)
\(A = \frac{66\ ft^2}{2}\)
\(A = 33\ ft^2\)
There are two of these triangles per side which means that there are 8 of these triangles in total.
\(33\ ft^2 * 8\)
\(264\ ft^2\)
Step 3: Determine the surface area
\(SA = 121\ ft^2 + 264\ ft^2\)
\(SA = 385\ ft^2\)
Answer: Option A, \(385.0\ ft^2\)
1. If f(x) = (3x-2)/(2x+3), then f'(x) =
Answer:
\(f'(x)= \frac{13}{(2x+3)^2}\\\)
Step-by-step explanation:
\(f(x)= \frac{3x-2}{2x+3} \\\)
\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)
\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)
Suppose f(x) = 6x - 2 is the encoding function. Encode "Collin Cougars". [The answer will be numbers. Remember to include the space.]
Note that the encoded message is 16 88 70 70 52 82 16 88 124 40 4 106 112.
How did we arrive at this ?To encode "Collin Cougars" using the function f(x ) = 6x - 2, we first need to assign a number to each letter
Using the standard convention of assigning numbers to letters based on their position in the alphabet (i.e., A = 1, B = 2, C = 3, and so on) we have this...
C = 3
o = 15
l = 12
l = 12
i = 9
n = 14
C = 3
o = 15
u = 21
g = 7
a = 1
r = 18
s = 19
To encode each letter, we simply apply the function
f(3) = 16
f(15) = 88
f(12) = 70
f(12) = 70
f(9) = 52
f(14) = 82
f(3) = 16
f(15) = 88
f(21) = 124
f(7) = 40
f(1) = 4
f(18) = 106
f(19) = 112
Therefore, the encoded message is
16 88 70 70 52 82 16 88 124 40 4 106 112
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Full Question:
See the attached.
ireally need this worked out and explained(1/1 Points) DETAILS PREVIOUS ANSWERS SPREC Write the trigonometric expression in terms of sine and cosine, and th sin(u) tan(u) + cos(u) sec(u) sec(u) Need Help? Read It Watch It
To write the expression in terms of sine and cosine, we can use the following trigonometric identities:
- tan(u) = sin(u)/cos(u)
- sec(u) = 1/cos(u)
Substituting these into the original expression, we get:
sin(u) * sin(u)/cos(u) + cos(u) * 1/cos(u)
Simplifying the expression, we get:
sin^2(u)/cos(u) + 1
To further simplify this expression, we can use the identity:
- sin^2(u) + cos^2(u) = 1
Rearranging this identity, we get:
- sin^2(u) = 1 - cos^2(u)
Substituting this into our expression, we get:
(1 - cos^2(u))/cos(u) + 1
Combining like terms, we get:
1/cos(u) + cos(u)
This is the expression in terms of sine and cosine.
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What pair of factors of −42 has a sum of 1? PLEASE HELP
Answer:
-6 and 7
Step-by-step explanation:
-6 and 7 multiply to be -42.
When you add the two values: -6+7=1
Their sum is 1!
Hope this helps
Answer:
2, -1
Step-by-step explanation:
The 16 factors of -42 are
1, 2, 3, 6, 7, 14, 21, 42
-1, -2, -3, -6, -7, -14, -21, -42
The pair of factors that have a sum of 1 is
2, -1
2 + (-1)
=1
3, -2 also
7, -6 also.
In interpreting effect size, what is the meaning of effect size at 0.3?
a. small effect size
b. medium effect size
c. large effect size
d. weak effect size
In interpreting effect size, the meaning of effect size at 0.3 is small effect size. So, the correct answer is A).
In interpreting effect size, an effect size of 0.3 is typically considered to be a small effect size. This means that there is a small but still measurable difference or relationship between two variables.
The interpretation of effect size can vary depending on the context and the discipline in which it is being used, but as a general rule, effect sizes of 0.2 or smaller are considered small, effect sizes of 0.5 are considered medium, and effect sizes of 0.8 or larger are considered large. Therefore, an effect size of 0.3 falls in the small effect size range. So, the correct option is A).
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Which operation should you perform first in the expression 12 × (4^2)
Answer:
according to PEMDAS, i would do parentheses first.
Step-by-step explanation:
So (4^2) would be the first thing i solve
help help mEEEEEEEEEEEE PLEASE PLEASE
Answer:
The length is 12
Step-by-step explanation:
rectangle = 2w + 2l
Substitute 15 with w
2l + 2(15) = 54
Multiple
2l + 30 = 54
Subtract 30 from both side
2l = 24
divide by 2
l = 12
3x + 4y = -23
2y - x = -19
What is the solution (x, y) to the system of equations
above?
A) (-5,-2)
B) (3, -8)
C) (4, -6)
D) (9,-6)
=======================================================
Explanation:
I'll use the substitution method.
Let's solve the second equation for x.
2y - x = -19
-x = -19-2y
x = 19+2y
Then plug that into the first equation
3x + 4y = -23
3( x ) + 4y = -23
3(19+2y)+4y = -23
3*19 + 3*2y + 4y = -23
57+6y+4y = -23
57+10y = -23
10y = -23-57
10y = -80
y = -80/10
y = -8
Use this y value to find x.
x = 19+2y
x = 19+2(-8)
x = 19-16
x = 3
---------------------------
Summary:
We found that x = 3 and y = -8
The ordered pair solution is therefore (x,y) = (3, -8)
Technically you could have stopped once reaching y = -8, since choice B is the only one that fits the description. But it helps to have practice.
Answer:
answer is B
Step-by-step explanation:
picture is upside down.
In a blind taste test, 25 people chose brand A, 15 people chose brand B, and 10 people chose
brand C. There are 200 more people to be surveyed. Based on the data, which is most likely.
to happen?
About 10 more people will choose brand B than brand C.
About 30 more people will choose brand C.
About 30 more people will choose brand A than brand B.
About 100 more people will choose brand A.
Answer: About 100 more people will choose brand A.
Step-by-step explanation:
Number of people who chose brand A = 25
Number of people who chose brand B = 15
Number of people who chose brand C = 10
Total number of people = 25+10+15 = 50
Since there are 200 people left, we'll equate them based on the data given and this will be:
For A = 25/50 × 200 = 100
For B = 15/50 × 200 = 60
For C = 10/50 × 200 = 40
Therefore, about 100 more people will choose brand A.
Answer:
About 100 more people will choose brand A
Step-by-step explanation:
i ready:)
juan takes a number, adds $2$ to it, multiplies the answer by $2$, subtracts $2$ from the result, and finally divides that number by $2$. if his answer is $7$, what was the original number?
the original number Juan started with was 6.
Let "x" represent the original number. Juan first adds 2 to the original number, which can be expressed as (x + 2). He then multiplies this by 2, resulting in 2(x + 2). Next, he subtracts 2 from this product: 2(x + 2) - 2. Finally, he divides the resulting number by 2, giving us the equation [(2(x + 2) - 2) / 2] = 7.
Now, let's solve for the original number, x:
1. Simplify the equation by distributing the 2: [2x + 4 - 2] / 2 = 7
2. Combine the constants: (2x + 2) / 2 = 7
3. Multiply both sides by 2 to remove the denominator: 2x + 2 = 14
4. Subtract 2 from both sides: 2x = 12
5. Divide both sides by 2: x = 6
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Paolo and Monika are both travelling by train.
Paolo's train travels 70 km in 35 minutes.
Monika's train travels 684 km.
It leaves at 16:15 and arrives at 20:45.
Work out the difference, in km/h, between the average speed of their trains.
Answer:
32 km/hr
Step-by-step explanation:
Firstly, you need to find the speed of both trains in km/hr.
Paolo's train= (70km x 60hr)/35= 120 km/hr
Monika's train= 684km/4.5hr= 152 km/hr
Then find the difference in speed:
152-120=32 km/hr
Study the food web below and answer the following :
i. In the pyramid of numbers there is an increase in numbers towards the base. Mention a pyramid where the base will be smaller.
ii. Predict the impact of removing snakes from this food web
Answer:
predict the impact of removing snakes from this food web
The given curve is rotated about the x-axis. Set up, but do not evaluate, an integral for the area of the resulting surface by integrating (a) with respect to x and (b) with respect to y. x^2 - e^y, ,1⩽x⩽e
To set up an integral for the area of the resulting surface when the given curve is rotated about the x-axis, we can use the disk or washer method. The disk or washer method allows us to calculate the volume of a 3-dimensional figure by integrating a 2-dimensional figure around a central axis.
For part (a), we integrate with respect to x from 1 to e:
A = ∫1e 2πx(x2 - ey) dx
For part (b), we integrate with respect to y from 0 to 2:
A = ∫02 2π(x2 - ey) dy
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2q/5 + 4 < 2q/3 - 9 what the answer?
Answer: 195/4
Step-by-step explanation:
WILL GIVE BRAINLIEST (PLEASE SHOW WORK)
Evaluate sec (11pi/6) without using technology
the probability of winning on a slot machine game is 0.152. if you play the slot machine until you win for the first time, what is the expected number of games it will take?
The expected number of games it will take to win on a slot machine game with a probability of winning of 0.152 is approximately 6.579 games.
The expected number of games can be calculated using the formula for the expected value of a geometric distribution. In this case, the probability of winning on each game is 0.152.
The expected number of games is calculated as the reciprocal of the probability of winning. Therefore, the expected number of games is 1 divided by 0.152, which is approximately 6.579.
This means that on average, it is expected to take approximately 6.579 games to win on the slot machine. However, it's important to note that this is an average value and individual experiences may vary. Some players may win on their first few games, while others may take more games to win. Nonetheless, on average, it is expected to take approximately 6.579 games to achieve a win.
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Unit Rate and Constant of Proportionality
Tools
Sa
In the scaled down drawing of a sport utility vehicle shown below, 4 of an inch represents 2 of a foot.
represents ão
What is the unit rate in inches per foot?
OA. of an inch per foot
ОВ.
of an inch per foot
OC.
of an inch per foot
OD
2 inches per foot
Reset
Submit
8 of 10 Answered
Session Timer: 7:22
Session Score: 63% (5/8)
o
Can someone please help me
Answer:
C. ½ of an inch per foot
Step-by-step explanation:
Given that \( \frac{1}{4} in. \) represents \( \frac{1}{2} ft \).
Unit rate in inches per foot = \( \frac{1}{4} in. \div \frac{1}{2} ft \)
Change the division operation to multiplication, and flip the fraction on your right upside down.
Thus:
\( = \frac{1}{4} \times \frac{2}{1} \)
Simplify
\( = \frac{1 \times 2}{4 \times 1} \)
\( = \frac{2}{4} = \frac{1}{2} \)
Unit rate in inches per foot = ½ of an inch per foot.
Comparing a census of a large population to a sample drawn from it, we expect that theA. sample is usually a more practical method of obtaining the desired information.B. accuracy of the observations in the census is surely higher than in the sample.C. sample must be a large fraction of the population to be accurate.
Comparing a census of a large population to a sample drawn from it, we expect that the sample is usually a more practical method of obtaining the desired information.
This is because a census involves collecting data from every individual in the population, which can be time-consuming, expensive, and logistically challenging, especially for large populations. In contrast, a sample is a smaller, more manageable subset of the population, making it easier to gather and analyze data.
However, it's essential to note that the accuracy of the observations in the census is generally higher than in the sample, as the census covers the entire population, eliminating any sampling error. In comparison, a sample may be subject to various biases or inaccuracies, depending on the sampling technique used and the sample size.
To ensure that the sample accurately represents the population, it is crucial to select a sample that is both random and of an appropriate size. While the sample doesn't need to be a large fraction of the population, it should be sufficiently large to provide reliable estimates and minimize sampling error. Overall, sampling is a practical and efficient approach to obtaining information about a population when properly conducted, balancing the need for accuracy with resource constraints.
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Mr. Dykstra is using a hose to water his garden.
2. 5 quarts of water pours through the hose each
minute, how many gallons of water pour through
the hose in 8 minutes?
A 5
B 16
C 4
The A 5 gallons of water will pour through the hose in 8 minutes.
The formula to be used for calculation of amount of water pouring through hose :
Total amount of water = amount of water pouring per minute × amount of time (in minutes)
Keep the values in formula to find the total amount of water
Total amount of water = 2.5 × 8
Performing multiplication on Right Hand Side of the equation
Total amount of water = 20 quarts
Now performing unit conversion
Amount of water in gallon = amount of water in quarts × 0.25
Amount of water in gallon = 20 × 0.25
Amount of water = 5 gallon
Hence, the correct answer is A 5.
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what is the y intercept and rate of change(ROC) please no links
The y-intercept is the point where a line intersects the y-axis, and it represents the value of the dependent variable when the independent variable is equal to zero and the rate of change (ROC) is the amount of change in the dependent variable divided by the amount of change in the independent variable.
The dependent variable changes for each unit increase in the independent variable. The y-intercept and rate of change are important concepts in understanding linear equations and their graphs.
The y-intercept is the point where a line or curve intersects the y-axis on a coordinate plane. In other words, it's the value of y when x is equal to zero (x=0). To find the y-intercept, you can either look at a graph or use the equation of the line. If the equation is in the form y = mx + b, where m is the slope and b is the y-intercept, you can simply identify the value of b as the y-intercept.
The rate of change (ROC) is a measure of how quickly a dependent variable (usually y) changes with respect to an independent variable (usually x). In the context of linear functions, the rate of change is equal to the slope of the line (m). To find the rate of change, you can use the formula: ROC = (change in y) / (change in x), which can be found by taking the difference in y-values divided by the difference in x-values between any two points on the line.
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A school has $ 15,000 to spend on computer monitors the school plans to purchase 200 monitors for $89 each a teacher completes the calculations below and concludes that the has enough money to buy the monitors 200 times 89 = 200 times 8 + 200 times 9 = 1,600 +1,800 =3,400
Answer:
They cannot afford the monitorsStep-by-step explanation:
Given that the cost of a monitor is $89
and the school is willing to buy up to 200 monitors
We can calculate the total cost of all the 200 monitors as
200*89= $17,800
Given that the school only has $ 15,000 to spend on the monitor
they cannot afford the amount as they still have a deficit of $2,800
As caixas de lajota que serão utilizadas em uma construção devem ser transportadas do depósito para a obra. Um caminhão carregado com 280 caixas de lajota conclui o trabalho em 5 viagens. No mínimo, quantas viagens seriam necessárias para concluir esse trabalho se fosse utilizado um caminhão com capacidade para transportar 395 caixas de lajota em cada viagem?
Simplify the expression d + 11 - 8d.
Use De Moivres theorem to write the complex number in trigonometric form. (sqrt2+ i sqrt2)^3
To use De Moivre's theorem to write the complex number (sqrt2+ i sqrt2)^3 in trigonometric form, we first need to convert it to polar form.
We know that sqrt2 is equal to r*cos(theta) and i sqrt2 is equal to r*sin(theta), where r is the modulus (or absolute value) of the complex number and theta is the argument (or angle) of the complex number.
So, we can write sqrt2+ i sqrt2 as r(cos(theta) + i sin(theta)), where r = sqrt((sqrt2)^2 + (sqrt2)^2) = 2 and theta = arctan(sqrt2/sqrt2) = pi/4.
Therefore, (sqrt2+ i sqrt2)^3 can be written as (2(cos(pi/4) + i sin(pi/4)))^3.
Using De Moivre's theorem, we can raise the modulus to the power of 3 and multiply the argument by 3 to get:
(2^3)(cos(3*pi/4) + i sin(3*pi/4))
Simplifying, we get:
8(cos(pi/4 + pi) + i sin(pi/4 + pi))
Now, since cosine has a period of 2pi and sine has a period of 2pi, we can simplify further:
8(cos(5*pi/4) + i sin(5*pi/4))
Therefore, the complex number (sqrt2+ i sqrt2)^3 in trigonometric form is 8(cos(5*pi/4) + i sin(5*pi/4)).
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Find a cubic function with the given zeros. (2 points) √2 , -√2 , -2
Answer:
2
Step-by-step explanation:
4.An online music service charges a $12.00
registration fee plus $1.50 for each song
downloaded. If Mary Beth has a gift card with
$60.00, then how many songs can she
download?
e pay for
Answer:
60 - 12 = 48
48/1.5= 32
32 songs
Which of the following is the reference angle for an angle that measures 222 degrees ?
1.22
2.48
3.64
4.42
Can some help me with this problem
Answer:
\(52\) square units
Step-by-step explanation:
The formula for the area of a rectangle is \(A=lw\) where \(l\) stands for the length and \(w\) stands for the width.
---------->>>>
First, let's find the area of the outside rectangle.
The width of the outside rectangle is 6 units and the length is 11 units.
So,
\(A=6(11)\)
\(A=66\) square units
This is the area of the yellow rectangle.
---------->>>>
Now, let's find the area of the red rectangle.
The width of the red rectangle is 2 units and the length is 7 units.
So,
\(A=2(7)\)
\(A=14\) square units
This is the area of the red rectangle.
---------->>>>
Now, to find the answer, we must subtract the area of the outside rectangle by the area of the red rectangle to find the area shaded in yellow.
\(66-14=\)
\(=52\) square units
--------------------------------
Hope this is helpful
Solve this by substitution
Answer:
y= 1 and x=-2
Step-by-step explanation:
Since they both equal y, you can equal them to each other:
x + 3 = 2x + 5
Then solve:
x - x + 3 = 2x - x + 5
3 - 5 = x + 5 - 5
-2 = x
Substitute x in either equation to solve for y:
y = (-2) +3
y = 1
Or the other equation:
y = 2(-2) + 5
y = -4 + 5
y = 1
hope this helps :)
what is the slope for (3, 8) and (2, 6). ?
Answer:
m = 2
Step-by-step explanation:
\(m = \frac{rise}{run} =\frac{y_{2}-y_1}{x_2-x_1}\)
\(=\frac{6 - 8}{2 - 3} \\= \frac{-2}{-1}\\ = 2\)
\(\huge\text{Hey there!}\)
\(\huge\textbf{The formula for finding the slope:}\)
\(\mathbf{\dfrac{y_2 - y_1}{x_2 - x_1} = slope}\)
\(\huge\textbf{Some people understand formula like:}\)
\(\mathbf{\dfrac{rise}{run} = slope}\)
\(\huge\textbf{Breaking down the question:}\)
\(\mathbf{y_2 \rightarrow \boxed{\textbf{6}}}\)
\(\mathbf{y_1 \rightarrow \boxed{\textbf{8}}}\)
\(\mathbf{x_2 \rightarrow \boxed{\textbf{2}}}\)
\(\mathbf{x_1 \rightarrow \boxed{\textbf{3}}}\)
\(\huge\textbf{What your equation should look like:}\)
\(\mathbf{\dfrac{6 - 8}{2 - 3} = slope}\)
\(\huge\textbf{Simplify the equation we came up with:}\)
\(\mathbf{\dfrac{6 - 8}{2 - 3} = slope}\)
\(\mathbf{\rightarrow \dfrac{-2}{-1} = slope}\)
\(\mathbf{\rightarrow -2 \div -1 = slope}\)
\(\mathbf{\rightarrow 2 = slope}\)
\(\huge\textbf{Thus, the answer should most likely be:}\)
\(\huge\boxed{\mathsf{Slope \rightarrow \boxed{\textsf{2}}}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphite1040:)}\)