Answer:
28/3 = 9 1/3 ≈ 9.33 meters
Step-by-step explanation:
You want the length of a 28 square meter mural that is a rectangle 3 meters high.
AreaThe area of a rectangle is given by ...
A = LW
Solving for L, we have ...
L = A/W = (28 m²)/(3 m) = 28/3 m
The length of the mural is 28/3 meters, or 9 1/3 meters, about 9.33 meters.
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is (4+x)+3 equivalent to x(4+3)
Answer:
No
Step-by-step explanation:
derivative of abs(x-8)consider the following function. f(x) = |x − 8|
The derivative of abs(x-8) is equal to 1 if x is greater than or equal to 8, and -1 if x is less than 8.
The absolute value function is defined as |x| = x if x is greater than or equal to 0, and |x| = -x if x is less than 0. The derivative of a function is a measure of how much the function changes as its input changes. In this case, the input to the function is x, and the output is the absolute value of x.
If x is greater than or equal to 8, then the absolute value of x is equal to x. The derivative of x is 1, so the derivative of the absolute value of x is also 1.
If x is less than 8, then the absolute value of x is equal to -x. The derivative of -x is -1, so the derivative of the absolute value of x is also -1.
Therefore, the derivative of abs(x-8) is equal to 1 if x is greater than or equal to 8, and -1 if x is less than 8.
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obesity is defined as a body mass index (bmi) of 30 kg/m2 or more. a 95% confidence interval for the percentage of u.s.adults aged 20 years and over who were obese was found to be 22.4 to 23.5%. what was the sample size?
A 95% confidence interval for the percentage of obese U.S. adults aged 20 years and over was found to be 22.4% to 23.5%. To determine the sample size, additional information is needed.
To determine the sample size based on a confidence interval, we need to know the margin of error and the desired level of confidence. The margin of error represents the maximum allowable difference between the sample estimate and the true population parameter. In this case, the confidence interval provided (22.4% to 23.5%) gives us the range of plausible values for the true percentage of obese U.S. adults. However, the sample size cannot be determined solely from this information.
To calculate the sample size needed to estimate the population percentage with a given margin of error and confidence level, we would require additional information such as the margin of error or the desired level of confidence. For example, if we assume a margin of error of 1% and a 95% confidence level, we can calculate the sample size using appropriate statistical formulas. The sample size calculation involves factors such as the estimated population proportion, the desired level of confidence, the margin of error, and the variability of the population. Without this information, it is not possible to determine the sample size based solely on the provided confidence interval.
In summary, the sample size cannot be determined solely from the provided confidence interval (22.4% to 23.5%). Additional information, such as the margin of error or the desired level of confidence, is needed to calculate the sample size accurately.
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A unit vector normal to the surface 2x² – 2xy + yx at (2,4) is: a. 1/√5 ( i-2j) . b.1/√5 ( i+2j) c.1/√5 ( 2i+j) d. 1/√5 ( 2i-j)
The answer is (a) 1/√5 ( i-2j).
We can find the normal vector to the surface by computing the gradient of the surface and evaluating it at the given point.
The surface is given by the equation:
f(x, y) = 2x² - 2xy + yx
Taking the partial derivatives with respect to x and y:
fx = 4x - 2y
fy = x + 2
So the gradient vector is:
∇f(x, y) = (4x - 2y)i + (x + 2)j
Evaluating this at the point (2, 4):
∇f(2, 4) = (4(2) - 2(4))i + (2 + 2)j = 4i + 4j
To get a unit normal vector, we divide this by its magnitude:
|∇f(2, 4)| = √(4² + 4²) = 4√2
n = (4i + 4j)/[4√2] = 1/√2 (i + j)
To find a normal vector that is also a unit vector, we divide by its magnitude again:
|n| = √2
n/|n| = 1/√2 (i + j)
So the answer is (a) 1/√5 ( i-2j).
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A survey was given to a random sample of 400 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 168 respondents said they were in favor of the plan. Determine a 95% confidence interval for the proportion of people who favor the tax plan, rounding values to the nearest thousandth.
Julio predicted that the average high temperature for January would be Negative 7 degrees Celsius. The actual average high temperature was 4 degrees higher than Julio’s prediction. Which describes the actual average high temperature for January?
–11°C
–3°C
3°C
11°C
Answer:
B (-3)
Step-by-step explanation:
Good Luck!
Simplify:
6 - 2 =
14 14
Answer:
6-2=1414
Step-by-step explanation:
6-2=1414
now
sub 6 from 2
4=1414
now divide 1414 by 4
1414÷4
\(1414 \div 4\)
you will get the answer
Step-by-step explanation:
\( \frac{6}{14} - \frac{2}{14} \\ have \: same \: denomenator \: so \: we \\ \: can \: substract \: it \: directly \\ \frac{6 - 2}{14} \\ = \frac{4}{14} = \frac{2}{7} \\ thank \: you\)
What is the volume of the rectangular prism shown below?
A. 224 in³
B. 320 in³
C. 512 in³
D. 5,120 in³
Answer:
\(\boxed{\sf{5120\ in^3}}\)Step-by-step explanation:
Solution:
Volume of the rectangular prism formula:
\(: \Longrightarrow \sf{V=l*w*h}\)
Given:
Length: 32 inWidth: 10 inHeight: 16 inThen, you multiply.
\(\sf{32*10*16=\boxed{\sf{5120}}\)
Therefore, the correct answer is "D. 5120 in³".Answer:
D
Step-by-step explanation:
The wages
w
(in £) Caroline earns is the number of hours she works
n
multiplied by her hourly rate
r
(in £ per hour). Enter a formula for Caroline's wages and enter the wage she would earn if she worked 20 hours at a rate of £7.20 per hour
Answer:
£ 144
Step-by-step explanation:
the formula would be :
w = n * r
finding the wages for 20 hours at a rate of 7.20 hours can be solved like this:
w = n *r
w = 7.20 * 20
w =£ 144
Question 20
A rectangular courtyard has a cement walkway around its perimeter. The area of the courtyard can be represented by the expression 24(5x - 1).
The area of the cement walkway can be represented by the expression 32(5x-1 + 8)- 24(5x-1). Write an equivalent expression that
represents the area of the cement walkway.square yards
Answer:
Step-by-step explanation:
The area of the courtyard is given by the expression 24(5x - 1), and the area of the cement walkway is given by the expression 32(5x-1 + 8)- 24(5x-1). To find an equivalent expression for the area of the cement walkway, we can first distribute the 32 and the 24 in the second expression to get:
Area of cement walkway = 32 * (5x-1 + 8) - 24 * (5x-1)
= 32 * 5x-32 - 24 * 5x+24 + 32 * 8 - 24
= 160x-1024 - 120x+576 + 256 - 24
= 40x-448 + 256 - 24
= 40x-192
Therefore, an equivalent expression for the area of the cement walkway is 40x - 192. This expression represents the area of the cement walkway in square yards.
Solve for n: 4^n+3 x 16^n - 8^3n
The expression 4^n+3 x 16^n - 8^3n cannot be solved for n
How to determine the solution of nfrom the question, we have the following parameters that can be used in our computation:
4^n+3 x 16^n - 8^3n
The question implies that we solve for n
This in other words mean that we determine the solution for n
The given parameter is an expression (not an equation or an inequality)
To solve for a variable, the given parameter must be an equation or an inequality
Hence, the value of n cannot be determined or it has infinite many solutions
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The roots of x² + 14x=32 by factoring are a = Blank 1 and b = Blank 2 where a
The roots of the quadratic equation x² + 14x = 32 by factoring are: a = 2 and b = -16.
To factor the quadratic equation x² + 14x = 32, we rearrange it to the form x² + 14x - 32 = 0.
To factorize it, we need to find two numbers whose sum is 14 and whose product is -32.
The factors of -32 that satisfy this condition are -2 and 16, as (-2) + 16 = 14 and (-2) \(\times\) 16 = -32.
Now we can rewrite the quadratic equation as:
(x - 2)(x + 16) = 0.
Setting each factor equal to zero, we have:
x - 2 = 0 and x + 16 = 0.
Solving these equations, we find:
x = 2 and x = -16.
Therefore, the roots of the quadratic equation x² + 14x = 32 by factoring are: a = 2 and b = -16.
Note: The complete question is:
The roots of x² + 14x=32 by factoring are a = Blank 1 and b = Blank 2 where a and b are integers that satisfy the quadratic equation given.
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Find the value of x in the following triangle
Answer:
x = 124°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
x = 180° - (32 + 24)° = 180° - 56° = 124°
Marco brought $25 to a facility that has indoor batting cages. He can buy 1 token for $1.25, which will give him 15 pitches. He needs to have at least $5 leftover to buy lunch. How many tokens, t, can Marco buy and still have enough money for lunch?
First what I did was take out the 5 dollars. So I did 25 minus 5.
25 - 5 = 20
Next, I divide the left over 20 dollars by 1.25 to see how many tokens Marco could buy.
20 / 1.25 = 16
Which i came up with 16. So Marco can buy 16 tokens and still have enough money to use to buy lunch.
HOPE THIS HELPS! :)
managers must make a number of important decisions about the use of control charts. what are they? multiple select question. what size samples to take how often samples should be taken how many control charts to use to monitor the process what type of control chart to use what tools to use to take measurements at what points in the process to use control charts
Managers must make all the given vital decisions from the options, hence, d) All of the above is the correct answer.
Managers must make a number of important decisions about the use of control charts, some of which include:
What size samples to takeHow often samples should be takenHow many control charts to use to monitor the processWhat type of control chart to use (e.g. X-bar chart, R chart, etc.)What tools to use to take measurementsAt what points in the process to use control charts.These are all important decisions that managers need to make when using control charts to monitor and improve processes in an organization. The right decisions can help ensure that control charts are effective in detecting and addressing issues with processes, while the wrong decisions can lead to control charts being ineffective or even counterproductive.
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The complete question is -
Managers must make a number of important decisions about the use of control charts. what are they?
multiple select questions.
a) what size samples to take and how often samples should be taken.
b) how many control charts to use to monitor the process.
c) what type of control chart to use.
d) what tools to use to take measurements at what points in the process to use control charts.
e) All of the above.
Given y = 3x + 1 State the quadrants in which this graph is in. (Use the numbers 1-4)
Answer:
1, 2 and 3 (I, II and III)
Step-by-step explanation:
Since the slope is positive (3) in the equation y = 3x + 1, it means that the graph has a positive slope, meaning the line slopes up from left to right.
The y intercept is 1
the x intercept is:
0 = 3x + 1
x = 1/3
Therefore, the graph of y = 3x + 1 lies in quadrants I, II and III. Graph the equation to prove this.
How many 4 minutes and 30 seconds in 2 hours
4 minutes and 30 seconds go into 2 hours 26 times
119
HELP MEH PLS PLS WIL GIVE BRAINLY OR WTV
Answer:
It would go 3 to the write of x.
Step-by-step explanation:
If B is the 3 spaces to the left of x and T is three spaces to the right of x, x would be in the middle.
In the picture, you have B=2, X= 5
so T goes if X is the midpoint of BT is
X= (B+T)/2
5 x 2= 2+ T
10 = 2+T
therefore, T = 8
Ok i have to identify the slope and the y intercept
the problem is : y= 2x - 3 I have to find M and B. What do i do.
Answer:
m=2
b=-3
Step-by-step explanation:
standard form of the slope equation
y=mx+b
m=2
b=-3
Help me plisssss,I need this for tomorrow
Answer:
slope=-5/2 and equation of line y=-5/2x+3
Step-by-step explanation:
we find the slope by using formula =y2-y1/x2-x1
A,B,C thabk you
Suppose that \( R(x) \) is a polynomial of degree 11 whose coefficients are real numbers. Also, suppose that \( R(x) \) has the following zeros. \[ \text { i. }-1+4 i \] Answer the following.
(a) Another zero of R(x) is -3-5i.
(b) The maximum number of real zeros that polynomial R(x) can have is 10.
(c) The maximum number of nonreal zeros that R(x) can have is 11.
Given that R(x) is a polynomial of degree 11 with real coefficients, we know that complex zeros occur in conjugate pairs. Since -3+5i is a zero of R(x), its conjugate -3-5i is also a zero. Therefore, another zero of R(x) is -3-5i.
The maximum number of real zeros that R(x) can have is equal to the degree of the polynomial, which is 11 in this case. However, since we already have 2 complex zeros (-3+5i and -3-5i), the maximum number of real zeros that remain is 10.
The maximum number of nonreal zeros (complex zeros) that R(x) can have is equal to the degree of the polynomial. Since the degree of R(x) is 11, the maximum number of nonreal zeros is 11.
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How did the government trick Native Americans into settling on reservations?
The U.S. government used coercive treaties, broken promises, military force, and economic pressures to persuade Native Americans to settle on reservations, often resulting in displacement and loss of land.
The history of Native American reservations in the United States is complex and multifaceted. While it is important to note that not all Native Americans were tricked into settling on reservations, there were various factors and events that led to the establishment of reservations and the displacement of Native peoples. Here are some key points:
Treaties and Agreements: In the 19th century, the U.S. government negotiated numerous treaties and agreements with Native American tribes. These agreements were often presented as a means to protect tribal lands, resources, and cultural autonomy. However, some of these treaties were negotiated under coercive circumstances, with unequal bargaining power and the threat of military force.
Broken Promises: Many of the treaties and agreements made between the U.S. government and Native American tribes were not honored. The government frequently violated its promises and encroached upon tribal lands, often due to the discovery of valuable resources like gold, timber, or fertile land. This led to the forced removal of Native peoples from their ancestral territories.
Indian Removal Act: In 1830, the Indian Removal Act was passed by the U.S. Congress. This legislation authorized the relocation of Native American tribes from their homelands to designated reservations in the West. The act was justified under the premise of opening up land for white settlement and facilitating the assimilation of Native Americans into Euro-American society.
Military Force: In some cases, the U.S. government used military force to remove Native American tribes from their lands and confine them to reservations. The most well-known example is the forced relocation of thousands of Cherokee people along the Trail of Tears in the 1830s.
Economic and Social Pressures: Native American communities faced increasing economic and social pressures as European settlers expanded westward. Encroachment on tribal lands, depletion of natural resources, introduction of diseases, and the decline of traditional livelihoods further marginalized Native peoples and made the reservations appear as a solution to their dire circumstances.
It is essential to approach this topic with sensitivity and recognize the diverse experiences and perspectives of Native American tribes throughout history. The process of reservation establishment involved a complex interplay of political, economic, and social factors, and it is not accurate to portray it solely as a deliberate trickery by the government.
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NEED HELP ASAP 50 POINTS PLEASE HELP: Evaluate the expression. {[(12−36)÷(−12)]2−20}÷(−4) What is the value of the expression?
Answer:
56
Step-by-step explanation:
The required simplified value of the given expression is 4.
Given that,
An expression is given, {[(12−36)÷(−12)]2−20}÷(−4 a simplified value of the expression is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Simplifying,
= {[(12−36)÷(−12)]2−20}÷(−4)
=[ [-24/-12]2-20] / - 4
=[4-20] / - 4
= -16/-4
= 4
Thus, the required simplified value of the given expression is 4.
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Patty and Tracy are always arguing with each other. Tracy boasts that she can solve any of Patty's algebra problems by graphing. Patty took the challenge and said, “I am thinking of two numbers and their difference is 10. What are my two numbers?"* Tracy responded, "There are an infinite number of pairs of numbers that fit your rule, and I can show all of them by graphing a line Write Patty's rule into an algebra equation, where y>x.
Answer:
i hate this lesson
Step-by-step explanation:
12111 4" What value of x is in the solution set of 9(2x + 1) < 9x – 18?
Answer: inequality form x < -3
Interval notation ( -∞ ,-3)
Step-by-step explanation:
Answer:
The answer to this question is inequality form x < -3
Step-by-step explanation:
Good luck :) !!!!!!!!!!!
Please help!!!!!!!!!!!!!!!
Answer:
yoooooooooooooooooooooooooooooooooooooooo
wait its not loading
Step-by-step explanation:
Two samples, one of size 28 and the second of size 27, are selected to test the difference between two independent population means. How many degrees of freedom are used to find the critical value
To test the difference between two independent population means with two samples, you need to calculate the degrees of freedom (df). Here's a step-by-step explanation:
1. Identify the sample sizes: The first sample has a size of 28 (n1 = 28), and the second sample has a size of 27 (n2 = 27).
2. Calculate the degrees of freedom for each sample: For each sample, subtract 1 from the sample size. For sample 1, df1 = n1 - 1 = 28 - 1 = 27. For sample 2, df2 = n2 - 1 = 27 - 1 = 26.
3. Combine the degrees of freedom: Add the degrees of freedom from each sample together to get the total degrees of freedom: df = df1 + df2 = 27 + 26 = 53.
In this case, you will use 53 degrees of freedom to find the critical value for testing the difference between the two independent population means.
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Question 1 (2 points) The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds. a. What is the time in seconds the toy robot moves when the total distance is 408 centimeters? Seconds b. What is the distance in centimeters the toy robot moves after 3 seconds? Centimeters
Answer:
a. \(T = 17s\)
b. \(D = 72cm\)
Step-by-step explanation:
Given
Direct Variation
\(Distance(D)\ \alpha\ Time (T)\)
D = 264 cm when T = 11 s
Calculating (a)
First, the constant of variation (k) as to be calculated;
Since, there exist a direct proportion; then,
\(D\ \alpha\ T\)
\(D = kT\)
Make k the subject of formula
\(k = \frac{D}{T}\)
D = 264 cm when T = 11 s; So
\(k = \frac{264}{11}\)
\(k = 24\)
So: Solving for (a)
\(D = 408\)
Substitute 408 for D and 24 for k in \(D = kT\)
\(408 = 24 * T\)
Divide both sides by 24
\(\frac{408}{24} = T\)
\(T = \frac{408}{24}\)
\(T = 17s\)
Hence, time to move a distance of 408cm is 17s
Calculating (b)
\(T = 3\)
Substitute 3 for T and 24 for k in \(D = kT\)
\(D = 24 * 3\)
\(D = 72cm\)
Hence, distance covered in 3 seconds is 72cm
why is 2.7 not resaonblle for 0.3 x 0.9
Answer:
because the answer of 0.3 times 0.9 is 0.27
Step-by-step explanation:
Answer: 0.27
Step-by-step explanation: When you multiply 0.3 x 0.9 you get 0.27
What is the slope of a line perpendicular to the line whose equation is
3x−12y=−108. Fully simplify your answer
Answer:
Step-by-step explanation:
The given equation is not instandard form. First standard form is neccesary.
Add 108 to both sides.Subtract 12y to both sidesThe result is 3x + 108 = 12y which is equal to 12y = 3x + 108
The slope is represented in this form as m (Y = mx + b)
(with b as the initial value)
Therefore, 3 is the slope.
To find its perpendicular slope.
To find it's perpendicular, know that it is the negative reciprocal.
First negate 3 to become -3 and find it's reciprocalTo find the reciprocal, divide 1 by -3FInally, the slope perpendicular to the line whose equation is 3x - 12y = -108 is \(\frac{1}{-3\\}\)