Answer:
Step-by-step explanation:
Area of rectangle = length * width
= 6 *5
= 30 sq.ft
Area of triangle1 = \(\frac{1}{2}*base*height\)
\(= \dfrac{1}{2}*5 * 3\\\\= \dfrac{15}{2}\\\\= 7.5 \ ft^{2}\)
\(Area \ of \ triangle2 = \dfrac{1}{2}*4*2\\= 4 \ ft^{2}\)
Area of figure = 30 + 7.5 + 4 = 41.5 sq.ft
Please help me I'm stuck.
\(\cfrac{89.40~~ - ~~\stackrel{ \textit{minus the tax of each} }{0.50-0.50-0.50-0.50-0.50-0.50}}{6}\implies \cfrac{86.40}{6}\implies \stackrel{ each }{14.40}\)
PLEASE HELP!!!
There's also part B.
Connor says the graph shows that water is flowing at a rate of 2 gallons per minute. Is he correct? Use the drop drown menus to explain your answer.
connor (is, is not) correct because the rate of water flowing is (greater than, less than, equal to) the slope. Water flowing at a rate that is (greater than, equal to, less than) 2 gallons per minute.
thank you!!
the answer would be C
Step-by-step explanation:
seeing the graph u can see that it moving 2 right and 1 up
The slope of given line from the graph is 2. Therefore, option D is the correct answer.
In the graph, it is given that x-axis represents time (min) and y-axis represents volume(gal).
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = Rise/Run
From the graph, the slope is
Slope (m)= 6/3
= 2
The slope of given line from the graph is 2. Therefore, option D is the correct answer.
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whats the slope of 3x-4y=20
Which of the following statements shows a characteristic of a statistical question?
The question is focused.
The distribution can be broken into categories.
The question asks for a quantitative response.
The question allows for surveys to be conducted.
Trivia: How strong am I?
A. 2
B. 9000!!
C. No limit
D. 1,000,000,000
Answer:
c
Step-by-step explanation:
Answer:
lets say All of the above.
Step-by-step explanation:
consider the matrix : what is the minimal approximation error achievable by a rank-1 approximation to ?
The minimal approximation error A-A 2achievable by a rank-1 approximation A to A is
||A - A1||₂=0 where A is 2×2 matrix.
We have given a matrix A as seen in above figure or A = [ 5 15 ; 6 18 ; -1 -3 ; -4 -12 ; 2 6]
note here that C₂= 3C₁
where Cᵢ --> iᵗʰ column
v = [ 5 ; 6 ; -1 ; -4 ; 2]
||v||² = 82 => ||v|| = √82
and A At v = 820 v
and A At = [ 82 246 ; 246 738]
AAt [1;3] = 820[1;3]
=> v1 = 1/√10(1,3)^t
Then the best rank of 1 approx
= √820 /√80√10 [ 5 ; 6 ; -1 ; -4 ; 2] [ 1 3]
= A
Since , the rank of matrix A is one so, the minimal approx. value is ||A - A1||2 = 0
Hence, the minimal Approx. ||A - A1||2 = 0 .
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Complete question:
Consider the matrix A: A = [5 15] 6 18 -1 -3 -4 -12 [26] What is the minimal approximation error A-A 2 achievable by a rank-1 approximation A to A? Hint: Can you determine this without explicitly calculating the SVD?
An online furniture store sells chairs for $50 each and tables for $550 each. Every day, the store can ship a maximum of 32 pieces of furniture and must sell no less than $4100 worth of chairs and tables. If 24 chairs were sold, determine the minimum number of tables that the store must sell in order to meet the requirements. If there are no possible solutions, submit an empty answer.
Answer:
you have to sell 6 tables to meet all requirements
Step-by-step explanation:
chairs=$50x
tables=$550x
24 chairs×50= $1200
4100-1200= $2900
take $2900 and divide by $550 to find the exact number of tables which is 5 but selling 5 tables and 24 chairs doesnt reach the $4100 mark so I rounded up to 6 tables which doesnt surpass the maximum number of furniture(32) but beats the $4100 mark
Nicola used 25% of the milk she collected from her goats this morning to make cheese. If she has 8.4 quarts of milk left over, how many quarts of milk did she collect this morning?
PLEASE HELP WORTH 35 POINTS
Answer:
11.2
Step-by-step explanation:
The answer is 11.2
11.2*.25=2.8
11.2-2.8=8.4
Hope this helps <3
X^2+9=0
Please Factor
Show the steps
Answer:
\( {x}^{2} + 9 \\ \\ = {x}^{2} + 3 {}^{2} \\ \\ = (x + 3)(x - 3)\)
Answer:
\( {x}^{2} + 9 = 0\)
\( {x}^{2} + 9\)
\( {x}^{2} + {3}^{2} \)
\((x + 3)(x + 3)\)
A magazine provided results from a poll of 15001500 adults who were asked to identify their favorite pie. Among the 15001500 respondents, 1414% chose chocolate pie and the margin of error was given as plus or minus ±3±3 percentage points.
a. What values do ^p^, ^q^, n, E, and p represent?
b. If the confidence level is 9999%, what is the value of α?
Answer:
Step-by-step explanation:
12,787
a. ^p^ represents the proportion of adults who chose chocolate pie, ^q^ represents the proportion of adults who did not choose chocolate pie, n represents the sample size, E represents the margin of error, and p represents the population proportion.
b. The value of α for a 99.99% confidence level is 0.0001.
a. ^p^ represents the sample proportion of adults who chose chocolate pie, ^q^ represents the proportion of adults who did not choose chocolate pie (1 - ^p^), n represents the sample size of 1500, E represents the margin of error of ±3 percentage points (0.03), and p represents the population proportion of adults who choose chocolate pie.
b. To find the value of α for a 99.99% confidence level, we need to subtract the confidence level from 100% to get the level of significance, which is 0.0001. This means that there is a 0.0001 probability of rejecting the null hypothesis when it is actually true.
The level of significance (α) is used to determine the critical value for the test statistic, which is then used to determine whether or not to reject the null hypothesis.
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any1 help me i 3 questions i haven’t done yet pls help!!!
Solve the quadratic equation using the quadratic formula or completing the square. Show exact answers in simplified, radical form; no rounded decimals.
2x² - 4x +3=0
By solving the equation by the method of completing the squares, it can be obtained that
\(x = 1 + \sqrt{\frac{1}{2}}i\) or \(x = 1-\sqrt{\frac{1}{2}}i\) are the solutions.
What is Quadratic equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.
A two degree equation is known as Quadratic equation.
Here the method of completing the squares is used.
\(2x^2 - 4x +3=0\)
\(2(x^2 - 2x + \frac{3}{2})=0\\x^2 - 2x + \frac{3}{2}=0\\x^2 - 2x + 1^2 -1^2+\frac{3}{2}=0\\(x - 1)^2+\frac{1}{2} = 0\\(x - 1)^2 = -\frac{1}{2}\\x-1= \sqrt{-\frac{1}{2}}\\x = 1 \pm \sqrt{\frac{1}{2}}i\)
\(x = 1 + \sqrt{\frac{1}{2}}i\) or \(x = 1-\sqrt{\frac{1}{2}}i\)
where \(i = \sqrt{-1}\)
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How can i solve Sin 40 = 10/n and Tan 50 = m/10
each side of a square is increasing at a rate of 2 cm/s. at what rate is the area of the square increasing when the area of the square is 16 cm2?
The area of the square is increasing at a rate of 8 cm²/s when the area of the square is 16 cm².
When the side length of a square increases, the area of the square also increases. The formula for area of a square is side length multiplied by itself.
Therefore, when the side length of a square increases at a rate of 2 cm/s, the area of the square increases at a rate of 2 cm/s multiplied by 2 cm/s, or 4 cm²/s.
However, since the side length of the square is 16 cm when the area of the square is 16 cm², the rate at which the area of the square increases is 2 cm/s multiplied by 16 cm, or 8 cm²/s.
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If f(a) = 3a – a2, which of the following are not true statements? Select all that apply. f(-5) = -40 f(4) = -4 f(-1) = 2 f(0) = 3 f(3) = 0
The true statements are f(-5) = -40, f(0) = 3 and f(3) = 0
How to determine the valueGiven the function;
f(a) = 3a – a2
For f(-5), we substitute the value of a as -5, we have
f(-5) = 3(-5) - (-5)²
f(-5) = -15 - 25
f(-5) = -40
For f(4), we have
f(4) = 3(4) = 3(16)
f(4) = 12 - 48
f(4) = -36
For f(-1), we have
f(-1) = 3(-1) - (-1)²
f(-1) = -3 - 1
f(-1) = -4
For f(0), we have
f(0) = 3(0) -(0)
f(0) = 0
For f(3), we have
f(3) = 3(3) - 3²
f(3) = 0
Thus, the true statements are f(-5) = -40, f(0) = 3 and f(3) = 0
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a vendor sells hot dogs and a bags of chips. A customer buys 2 hot fogs and 4 bags of potato chips for $10. another customer buts 3 hot dogs and 4 bags of potato chips for 12 dollars. what does each item cost?
Answer:
chips 1.50 cents hot dogs 2 dollars
Step-by-step explanation:
Hot do is 2 dollars because the same chips were put but 1 extra dog is 2 dollard and you divide from there and get 1.50 for chips
three less than three times the number equal to seven
Answer:
=3x-3=7, x=10/3
Step-by-step explanation:
Answer:sorry
Step-by-step explanation:
I really need points
y−3/4=4 1/4
please help me with this i really am not liking fractions right now
Answer:
y=2 and 3/4
Step-by-step explanation:
Answer:
Step-by-step explanation:
y-3/4 =4 1/4
i will add the whole into the fraction and add also 3/4
y=3/4+15/4
y=18/4=4 2/4=4 1/2
I need help solve this problem please
Answer:
X=5
15x=75
Step-by-step explanation:
I need help understanding what I did wrong in my answer. I’m not understanding the answer key answer. Instructions are to factor these trinomial
See the two pictures, explanation and solution ^_^
In order to check your answer is true or false. We check the two analyzes whether the number from the equation becomes 19x. First you multiply the first number in the first bracket by the second number in the second bracket 2x by 3 to get 6x. Secondly, you multiply the second number of the first bracket by the first number of the second bracket -5 by 4x to get -20x. The sum of the two numbers that you extracted from multiplying the numbers in parentheses (6x) + (-20x) equals - 14x, so this number is not the number 19x, so the first analysis error . Try it for the second analysis .
You can multiply the parentheses together and check the solution too.
\((2x - 5)(4x + 3) \\ (2x)(4x) + (2x)(3) + ( - 5)(4x) + ( - 5)(3) \\ = 8 {x}^{2} + 6x - 20x - 15 \\ = 8 {x}^{2} - 14x - 15\)
\((8x - 5)(x + 3) \\ (8x)(x) + (8x)(3) + ( - 5)(x) + ( - 5)(3) \\ = 8 {x}^{2} + 24x - 5x - 15 \\ = 8 {x}^{2} + 19x - 15\)
a rectangle is changing in such a way that the length of its base is decreasing at the rate of 4 m/sec and its height is increasing at the rate of 3m/sec. how fast is the area of the rectangle changing when the base is 6 m and the height is 2 m? draw a useful labeled picture. is the area increasing or decreasing?3
the area increasing is dA/dt = 31 in²/ sec when the length of its base is decreasing at the rate of 4 m/sec and its height is increasing at the rate of 3m/sec
The area of the rectangle is:
A(t) = length * breadth where b is the base and h the height
Differentiation on both sides of the equation we obtain
dA/dt = (1/2)* db/dt * h + (1/2)* dh/dt * b (1)
db/dt = 4 in/sec
dh/dt = 3 n/sec
b = 6 in
h = 2 in
By substitution in (1)
dA/dt = 0,5* 3*14 + 0,5* 2*10
dA/dt = 21 in² /sec + 10 in²/sc
dA/dt = 31 in²/ sec
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8. The distribution of mass for United States pennies minted since 1982 is approximately normal with mean 2.5 grams. A random sample of 10 pennies minted since 1982 was selected. The sample had a mean mass of 2.47 grams and a standard deviation of 0.04 gram. The test statistic for the population mean has which of the following distributions? (A) A normal distribution with mean 0 and standard deviation 1 (B) A normal distribution with mean 2.5 and standard deviation 0.04 C A normal distribution with mean 2.47 and standard deviation 0.04 D At-distribution with 9 degrees of freedom E At-distribution with 10 degrees of freedom
If sample has mean-mass of 2.47 grams and standard-deviation of 0.04 gram, then test-statistic for population mean has (d) a "t-distribution" with 9 degrees-of-freedom.
A "test-statistic" is defined as a value calculated from a sample of data which is used in hypothesis testing.
The test statistic(t) for population mean can be calculated using formula:
⇒ t = (x' - μ)/(s/√n),
where x' = sample mean, μ = population mean, s = sample standard deviation, and n = sample size,
Substituting the values,
We get,
⇒ t = (2.47 - 2.5)/(0.04/√10) ≈ -2.38,
Since the population standard deviation is unknown, we need to use the t-distribution to find the p-value and make a conclusion about the null hypothesis.
The degrees-of-freedom for the t-distribution is = n - 1 = 10 - 1 = 9.
Therefore, the test statistic for the population mean has a t-distribution with 9 degrees of freedom, the correct option is (d).
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The given question is incomplete, the complete question is
The distribution of mass for United States pennies minted since 1982 is approximately normal with mean 2.5 grams. A random sample of 10 pennies minted since 1982 was selected. The sample had a mean mass of 2.47 grams and a standard deviation of 0.04 gram.
The test statistic for the population mean has which of the following distributions?
(a) A normal distribution with mean 0 and standard deviation 1,
(b) A normal distribution with mean 2.5 and standard deviation 0.04,
(c) A normal distribution with mean 2.47 and standard deviation 0.04,
(d) A t-distribution with 9 degrees of freedom,
(e) A t-distribution with 10 degrees of freedom.
An overseas phone call is charged at one rate (a fixed amount) for the first minuteand at a different rate for each additional minute. If a 7 minute call costs $10, and a 4minute call costs $6.40, fingreach rate.
An overseas phone call is charged at one rate (a fixed amount) for the first minute
and at a different rate for each additional minute.
If a 7 minute call costs $10, and a 4 minute call costs $6.40, find each rate.
SOLUTION
This is a case of partial variation
C = a + k b
where C = cost of the call.
a = constant rate
k = per unit rate for a different rate for each additional minute.
when C= $10, b = 7
when C = $ 6. 40 , b = 4
10 = a + 7 k -------------- equ 1
6.40 = a + 4 k ................. equ 2
equation 1 minus equation 2 , we have :
10 - 6. 40 = 7 k - 4 k
3.60 = 3k
Divide both sides by 3 , we have :
k = 3. 60 / 3
k = 1.20
put k = 1. 20 in equ 1 , we have :
10 = a + 7 k
10 = a + 7 ( 1.20 )
10 = a + 8.40
a = 10 - 8. 40
a = 1. 60
CONCLUSION :
a = constant rate = $ 1.60 ( fixed amount) for the first minute.
k = per unit rate for a different rate for each additional minute = $ 1.20 per minute.
The sum of two numbers is 18. Their difference is -8. Find the two numbers.
Part A
Write a system of equations that represents the situation.
x + y =
x-y =
Part B
Solve the system of equations. Express the coordinates as decimals if necessary.
The two numbers in the system of equation is 5 and 13.
What is system of equation?A group of multiple-variable equations that must all be solved concurrently make up a system of equations. Finding values for the variables that satisfy every equation in a system of equations is the objective. Each equation in the system reflects a connection between the variables. In order to find a singular solution or a group of solutions, systems of equations can be solved using a variety of methods, such as substitution or elimination. In many disciplines, including mathematics, physics, engineering, and economics, systems of equations can occur.
Let us suppose the two numbers as x and y.
x + y = 18
x - y = -8
The second equation can be written as:
x + 8 = y
Substitute the value of y in equation 1:
x + x + 8 = 18
2x = 10
x = 5
Substitute the value of x to get y:
x + y = 18
5 + y = 18
y = 13
Hence, the two numbers in the system of equation is 5 and 13.
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Select the equation that contains the points (-1, -8) and (3, 4).
A wheel has a radius of 67. 5 meters which is closest to the circumference of this wheel
The closest value to the circumference of the given wheel is 424.35 meters.
A wheel has a radius of 67.5 meters. What is closest to the circumference of this wheel?
The circumference of a circle is the distance around its edge or perimeter. The formula for the circumference of a circle is given by:
Circumference = 2πr, where r is the radius of the circle and π (pi) is a mathematical constant that approximates to 3.14.Rewriting the formula to find the circumference,
we have:Circumference = 2 × 3.14 × 67.5= 2 × 3.14 × 67.5= 424.35 Meters
Therefore, the closest value to the circumference of the given wheel is 424.35 meters.
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Find a recursive equation in the formAn+1=f(An), n=1,2,3... satsifed by the sequence
The recursive equation in the form An+1=f(An), n=1,2,3... satisfied by the sequence {3, 6, 12, 24, 48, ...} is An+1 = 2 × An.
To find a recursive equation in the form An+1=f(An), n=1,2,3... satsifed by the sequence {3, 6, 12, 24, 48, ...}, we need to find the pattern and the rule that generates the terms of the sequence.
Step 1: Finding the pattern We can observe that each term in the sequence is obtained by doubling the previous term. So, the pattern is:3, 6, 12, 24, 48, ...
Step 2: Writing the recursive equation We can write the recursive equation by expressing each term in the sequence as a function of the previous term.
Let's call the nth term An, then we have:
An+1 = 2 × An The above equation shows that the (n+1)th term in the sequence is obtained by doubling the nth term. This is because each term is obtained by doubling the previous term.
Therefore, the recursive equation in the form An+1=f(An), n=1,2,3... satisfied by the sequence {3, 6, 12, 24, 48, ...} is An+1 = 2 × An.
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A new television set was recently purchased for the common room in a residence hall for $520.00 including tax. If the tax rate is 4%, find the price of the television set before taxes.
Let's use the variable x to represent the price of the television set before taxes.
If the tax rate is 4%, then the original price is multiplied by 1.04, so it is equal 1.04x.
The final price is $520, so we have:
\(\begin{gathered} 1.04x=520 \\ x=\frac{520}{1.04} \\ x=500 \end{gathered}\)So the price before taxes is $500.00.
What do the differences between the points (as shown on the graph) represent?
Answer:
7/2
Step-by-step explanation:
You do rise over run
You rise 7 and run 2
Answer 7/2
16. P(2,-1)Q(-3,-1), R(-11,9), S(-7,9)
Determine if lines PQ and RS are parallel or perpendicular or neither
Using slopes, it is found that the lines are parallel.
The slope between two points is given by the change in y divided by the change in x.If two lines are parallel, they have the same slope.If two lines are perpendicular, the multiplication of their slopes is -1.Line PQ has points P(2,-1) and Q(-3,-1), hence, the slope is:
\(m_{PQ} = \frac{-1 - (-1)}{-3 - 2} = 0\)
Line RS has points R(-11,9) and S(-7,9), hence, the slope is:
\(m_{RS} = \frac{9 - 9}{-7 - (-11)} = 0\)
Same slope, so parallel.
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This question I don’t know how to do can someone tell me the Mc answer
Answer:
x = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Function NotationStep-by-step explanation:
Step 1: Define
m(x) = 4x - 10
m(x) = -2
Step 2: Solve for x
Substitute: -2 = 4x - 10Isolate x term: 8 = 4xIsolate x: 2 = xRewrite: x = 2