The value of (8² - 39) / 5² is 1.
Given,
(8² - 39) / 5²
We need to find the value of this expression.
How do we solve an expression?It depends on the expression.
We can use the PEMDAS order:
P - parenthesis
E - exponents
M - multiplication
D - division
A - addition
S - subtraction
We can also simplify exponents:
a² = a x a
b³ = b x b x b
Find (8² - 39) / 5².
8² = 64
We know 8 x 8 = 64
5² = 25
We know 5 x 5 = 25
Putting in (8² - 39) / 5²
We get,
= (64 - 39) / 25
= 25 / 25
= 1
Thus the value of (8² - 39) / 5² is 1.
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At the Charming Chair Factory, they make 20 chairs
per day when 5 workers are on duty. If they need to
make ioo chairs in one day, what equation should
they use to figure out how many workers to schedule?
Answer:
100÷(20÷5)
Step-by-step explanation:
first find out how many chairs each worker made
20÷5=4
then divide 100 by 4 and that will give you 25
they would need 25 workers the equation that they should use is
100÷(20÷5)
Find the value of x. Round to the nearest tenth. 35° 16 x = [?]
Answer:
nine point two.....9.2
Multiply 2/3 by 42,and then multiply that product by 10
Answer:
280
Step-by-step explanation:
1. jada ran 3 kilometers last weekend which is 15 percent of the total distance that she will need to run for her long distance race.
2. Ms. Nutchern uses 145 beans (or 50 percent of the can ) to make a pot of chili. how many beans are in the can
3. fill the blank: 25 percent of _______ is 35
Answer:
140
Step-by-step explanation:
25% * x = 35
25/100 * x = 35
Multiplying both sides by 100 and dividing both sides by 25,
We have x = 35 * 100/25
x = 140
Answer: Number one is 20km. Number 2 is I think 2.9 and number 3 ofc is 140. I'm not really sure if number 2 is correct but yeah.
Step-by-step explanation:
The equation represents Function A, and the graph represents Function B:
Function A f(x) = 6x - 1
Function B graph of line going through ordered pairs 1, 4 and negative 1, negative 2 and negative 2, negative 5
Which equation best compares the slopes of the two functions?
(A) Slope of Function B = 2 x Slope of Function A
(B) Slope of Function A = Slope of Function B
(C) Slope of Function A = 2 x Slope of Function B
(D) Slope of Function B = − Slope of Function A
Answer:
C. Slope of Function A = 2 x Slope of Function B
Step-by-step explanation:
The slope of function A is the x-coefficient: 6.
The slope of function B is ...
... slope = (change in y)/(change in x) = (-2-4)/(-1-1) = -6/-2 = 3
6 is 2 times 3
periodically, merrill lynch customers are asked to evaluate merrill lynch financial consultants and services. higher ratings on the client satisfaction survey indicate better service with the maximum service rating. independent samples of service ratings for two financial consultants are summarized here. consultant a has years of experience, whereas consultant b has year of experience. use and test to see whether the consultant with more experience has the higher population mean service rating. round degrees of freedom to previous whole number. excel file: data10-17.xlsx consultant a consultant b a. state the null and alternative hypotheses. : - select your answer - : - select your answer - b. compute the value of the test statistic. (to 2 decimals) c. what is the p-value? use table 2 from appendix b to find the values that bound the test statistic. - select your answer - - select your answer - d. what is your conclusion? - select your answer -
If the p-value is greater than α, do not reject the null hypothesis and conclude that there is not enough evidence to support the claim that Consultant A has a higher population mean service rating.
a. The null hypothesis is that there is no difference between the population mean service ratings of the two financial consultants, and the alternative hypothesis is that the consultant with more experience has a higher population mean service rating.
b. The value of the test statistic is 1.63.
c. The p-value is 0.055. Using table 2 from appendix b, the values that bound the test statistic are 1.645 and -1.645. Since the test statistic falls within this range and the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis.
d. Therefore, we cannot conclude that there is a significant difference in the population mean service ratings of the two financial consultants. To draw a conclusion, compare the p-value to the given significance level (α). If the p-value is less than α, reject the null hypothesis and conclude that Consultant A has a higher population mean service rating than Consultant B.
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which sequence of transformations could be used to move triangle RST so it completely covers triangle R”S”T?
Triangle RST is reflected across the x-axis and translated 5 units to the left to form triangle R"S"T"
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Triangle RST is reflected across the x-axis and translated 5 units to the left to form triangle R"S"T"
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Plzzzz help with atleast 1question❤️
Answer:
4) 3, -2, -8
5) -7
6) E
7) D
8) 5, -1, 34
Step-by-step explanation:
4) There are at least two prominent points on line EF: (0, -4) and (6, 5). From there, we can find the slope-intercept formula of it.
The slope: (5 + 4) / (6 - 0) = 9 / 6 = 3 / 2
The intercept: (0, -4)
So, we have y = 3/2x - 4.
-3/2x + y + 4 = 0
Multiply every term by 2.
-3x + 2y + 8 = 0.
But the question asks for A to be >0! Multiply everything by -1.
3x - 2y - 8 = 0
So, the values of A, B, and C, respectively, are 3, -2, -8.
5) There are at least two prominent points on line GH: (-9, 4) and (-1, 2). From there, we have...
The slope: (4 - 2) / (-9 + 1) = 2 / -8 = -1/4
y = -1/4x + b
2 = (-1/4 * -1) + b
2 = (1/4) + b
b = 1.75; or 1 and 3/4; or 7/4.
Then, we have our intercept: 7/4.
We have an equation in slope-intercept form: y = -1/4x + 7/4
1/4x + y - 7/4 = 0
Multiply everything by 4.
x + 4y - 7 = 0.
The value of C is -7.
6) Lines that are parallel to the y-axis are vertical lines, which means that the x-values never change. We are looking for an equation where x = 3. That is code letter E.
7) Lines perpendicular to the y-axis are horizontal lines, which means that the y-values never change. We are looking for an equation where y = -5. That is code letter D (y + 5 = 0; y = -5).
8) A line parallel to 5x - 8y + 12 = 0 would have the same slope as it.
5x - 8y + 12 = 0
-8y = -5x - 12
y = 5/8x + 3/2
So, the line should have a slope of 5/8.
3 = (5/8) * (-2) + b
3 = -10/8 + b
3 = -5/4 + b
b = 3 + 5/4
b = 4 and 1/4; 17/4.
y = 5/8x + 17/4
-5/8x + y - 17/4 = 0
Multiply all terms by 8.
-5x + y - 34 = 0
Multiply all terms by -1.
5x - y + 34 = 0.
The values of A, B, and C, respectively, are 5, -1, 34.
I REALLY hope this helps because my brain kinda hurts now XD Have a great day!
Marco has two bags of candy. One bag contains three red lollipops and
2 green lollipops. The other bag contains four purple lollipops and five blue
lollipops. One piece of candy is drawn from each bag. What is the probability
of choosing a green lollipop and a purple lollipop?
The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45
We have to given that;
One bag contains 3 red lollipops and 2 green lollipops.
And, The other bag contains four purple lollipops and five blue lollipops.
Hence, The probability of choosing a green lollipop is,
P₁ = 2 / 5
And, The probability of choosing a purple lollipop is,
P₂ = 4 / 9
Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,
P = P₁ × P₂
P = 2/5 × 4/9
P = 8/45
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what is $20.00 take away $4.60
3x
2x
x + 30
The diagram shows a triangle.
The sizes of the angles, in degrees, are
3x
2x
x + 30
Work out the value of x
Answer:
x = 25°
Step-by-step explanation:
3x + 2x + x + 30° = 180°
6x + 30° = 180°
6x = 150°
x =25°
=> 3x = 25 * 3 = 75°
=> 2x = 25 * 2 = 50°
=> x + 30° = 25° + 30° = 55°
Subtracting 3x2 + 4x – 5 from 7x2 + x + 9 results in a polynomial. After subtracting 4x2 – 3x from this polynomial, the difference is .
Answer & Step-by-step explanation:
First, we have to subtract 3x² + 4x - 5 from 7x² + x + 9. Then we subtract 4x² - 3x from that difference.
(7x² + x + 9) - (3x² + 4x - 5)
Distribute the negative sign (-) to 3x² + 4x - 5
7x² + x + 9 - 3x² - 4x + 5
Combine like terms
4x² - 3x + 14
Now, we are going to subtract 4x² - 3x from this difference.
(4x² - 3x + 14) - (4x² - 3x)
Distribute the negative sign (-) to 4x² - 3x
4x² - 3x + 14 - 4x² + 3x
Combine like terms
14
So, after subtracting the first two polynomials and then subtracting 4x² - 3x from that difference, the final answer will be 14
3A. Explain in your own words how to find the domain of a function if you know its equation.B. Find the domain of f (x) =√9-7x6x?+13x-15Be sure to show relevant work.
Solution
Step 1
A)The domain refers to all real values of x for which the function is defined. The values of x for which the function is undefined are not a part of the domain. If you are given the equation then you can find the domain of that function by solving/ factorizing the denominator of the equation to find the zero(s) of the equation in the denominator. These values gotten are the values of x that will make the function undefined and hence are not part of the domain. Every other real value of x apart from these zero(s) obtained is part of the domain.
B)
Step 1
Factorize the denominator of the equation to find the zeroes of the equation
\(6x^2+13x-15=0\)Step 2
Find the required factors to replace 13x and is equal to -90x²
\(\text{These factors are 18x and -5x}\)Step3
Replace 13x with these factors
\(6x^2+18x-5x-15=0\)Step 4
Factorize the equation and find the values of x
\(\begin{gathered} (6x^2+18x)(-5x-15)=0 \\ 6x(x+3)\text{ -5(x+3)=0} \\ (6x-5)(x+3)=0 \\ 6x-5\text{ = 0} \\ 6x=5 \\ x=\frac{5}{6}\text{ OR} \\ x+3=0 \\ x=-3 \end{gathered}\)Hence, the domain of the function is all real values of x except -3 and 5/6
he food marketing institute shows that of households spend more than per week on groceries. assume the population proportion is and a simple random sample of households will be selected from the population. use the z-table. a. show the sampling distribution of , the sample proportion of households spending more than per week on groceries. 0.17 (to decimals) 0.0133 (to decimals) b. what is the probability that the sample proportion will be within of the population proportion (to decimals)? c. answer part (b) for a sample of households (to decimals). 0.0094
a. the sampling distribution is \(\sqrt{[(0.17 \times (1-0.17)) / n]}\)
b. The probability that the sample proportion is within 0.03 of the population proportion is 0.4101.
c. The probability that the sample proportion is within 0.03 of the population proportion for a sample of 200 households is 0.7738.
a. The sampling distribution of the sample proportion, \(\bar p\), can be approximated by a normal distribution with mean equal to the population proportion, p, and standard deviation equal to the square root of \([(p \times (1-p)) / n]\),
where n is the sample size.
Given that p = 0.17 and assuming a large enough sample size, we can use the formula to calculate the standard deviation of the sampling distribution:
Standard deviation = \(\sqrt{[(0.17 \times (1-0.17)) / n]}\)
b. To find the probability that the sample proportion will be within a certain range of the population proportion, we need to calculate the z-score for the lower and upper bounds of that range and then find the area under the normal curve between those z-scores.
Let's say we want to find the probability that the sample proportion is within 0.03 of the population proportion. This means we want to find
P(\(\bar p\)- p ≤ 0.03) = P((\(\bar p\)-- p) / \(\sqrt{[(p \times (1-p)) / n]}\) ≤ 0.03 / \(\sqrt{[(p \times (1-p)) / n]\)
We can use the standard normal distribution and z-scores to find this probability:
\(z_1\) = (0.03 / \(\sqrt{(0.17 \times (1-0.17)/n}\))
\(z_2\) = (-0.03 / \(\sqrt{(0.17 \times (1-0.17))/n}\))
We can find the probability that the z-score is between \(z_1\) and \(z_2\):
P(\(z_1\)≤ Z ≤ \(z_2\)) = P(-0.541 ≤ Z ≤ 0.541) = 0.4101
c. To answer part (c), we need to specify the sample size. Let's say we are taking a sample of 200 households.
Using the formula for standard deviation of the sampling distribution from part (a), we get:
Standard deviation = \(\sqrt{(0.17 \times(1-0.17)) / 200}\) = 0.034
Now we can repeat the same steps as in part (b) with this standard deviation:
\(z_1\) = (0.03 / 0.034)
\(z_2\) = (-0.03 / 0.034)
P(\(z_1\)≤ Z ≤ \(z_2\)) = P(-0.882 ≤ Z ≤ 0.882) = 0.7738
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Solve this? jfhbfjiehrfjeirhfghfrjerfhghjrhfgbfjri
a random sample of 50 personal property insurance policies showed the following number of claims over the past 2 years. number of claims 0 1 2 3 4 5 6 number of policies 21 13 5 4 2 3 2 a. find the mean number of claims per policy. b. find the sample variance and standard deviation.
The mean number of claims per policy is 1.4 and the sample variance and standard deviation are 0.956 and 0.977 respectively is the answer.
a) To find the mean number of claims per policy, we need to calculate the weighted average of the number of claims.
Number of claims: 0, 1, 2, 3, 4, 5, 6
Number of policies: 21, 13, 5, 4, 2, 3, 2
First, we calculate the product of the number of claims and the corresponding number of policies for each category:
0 claims: 0 * 21 = 0
1 claim: 1 * 13 = 13
2 claims: 2 * 5 = 10
3 claims: 3 * 4 = 12
4 claims: 4 * 2 = 8
5 claims: 5 * 3 = 15
6 claims: 6 * 2 = 12
Next, we sum up these products: 0 + 13 + 10 + 12 + 8 + 15 + 12 = 70
Finally, we divide the sum by the total number of policies (50) to find the mean:
Mean number of claims per policy = 70 / 50 = 1.4
Therefore, the mean number of claims per policy is 1.4.
b. To find the sample variance and standard deviation, we need to calculate the deviations from the mean for each category, square the deviations, and then calculate the average.
Deviation from the mean:
0 - 1.4 = -1.4
1 - 1.4 = -0.4
2 - 1.4 = 0.6
3 - 1.4 = 1.6
4 - 1.4 = 2.6
5 - 1.4 = 3.6
6 - 1.4 = 4.6
Square the deviations:
(-1.4)^2 = 1.96
(-0.4)^2 = 0.16
(0.6)^2 = 0.36
(1.6)^2 = 2.56
(2.6)^2 = 6.76
(3.6)^2 = 12.96
(4.6)^2 = 21.16
Now, we sum up these squared deviations:
1.96 + 0.16 + 0.36 + 2.56 + 6.76 + 12.96 + 21.16 = 46.92
To find the sample variance, divide the sum of squared deviations by the number of data points minus 1 (n-1):
Sample variance = 46.92 / (50 - 1) = 46.92 / 49 ≈ 0.956
To find the sample standard deviation, take the square root of the sample variance:
Sample standard deviation = √(0.956) ≈ 0.977
Therefore, the sample variance is approximately 0.956 and the sample standard deviation is approximately 0.977.
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This meal costs $19.00 .A sales tax is applied, followed by an automatic tip of 18 %.What is the total with tax and tip?
The total cost of he meat with tax and tip is $ 22.42
How to find the totalTo calculate the total cost with tax and tip, we need to follow these steps:
multiply the meal cost by the tip rate. when the tip rate is 18%, we have:
Tip amount = $19.00 * 0.18 = $3.42
Add the meal cost, sales tax, and tip amount to get the total cost:
Total cost = Meal cost + Sales tax + Tip amount
= $19.00 + $3.42
= $ 22.42
Therefore, the total cost with tax and tip is $22.42
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1. based on data collected from production processes, crosstiles, inc. determines that the breaking strength of the most popular porcelain tile is normally distributed with a mean of 200 pounds per square inch and a standard deviation of 6.2 pounds per square inch. a. about what percent of its popular porcelain tile will have breaking strengths at most 185 pounds per square inch? b. describe the breaking strength of the strongest 6% of its popular porcelain tile.
11.1% of porcelain tile has strength up to 185 per square inch, while 6% has strength of 206.4 per square inch.
a. To find the percent of its popular porcelain tile that will have breaking strengths at most 185 pounds per square inch, we can use the Z-score formula. The Z-score formula is Z = (x - μ) / σ. In this problem, x is 185, μ is 200, and σ is 6.2. Plugging these values into the formula, we get Z = -2.42. To find the percent of tiles that have a breaking strength of at most 185 pounds per square inch, we can use a Z-score table. Looking up -2.42 on the Z-score table, we get a probability of 0.011, or 11.1%.
Z = (x - μ) / σ.
x=185
μ =200
σ = 6.2
Z = -2.42
Hence, probability = 0.011, or 11.1%.
b. The strongest 6% of its popular porcelain tile will have a breaking strength of 206.4 pounds per square inch. To find this value, we can use the Z-score formula again. This time, we will use a positive Z-score of 1.645, which corresponds to a probability of 0.06. Plugging this value into the formula, we get,
x = μ + (Z * σ).
Thus, x = 200 + (1.645 * 6.2) = 206.4.
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The product of two consecutive integers is 19 more than their sum. Find the integers.A. 5,6 B. -4,-3 C. 4,5 or -4,-3 D. 5,6 or -4 , -3
The answer to the question is C, which is integers 4,5 or -4,-3.
Let's call the first integer x and the second integer x+1 (since they are consecutive).
According to the problem, we can set up the following equation:
x(x+1) = x + (x+1) + 19
We can simplify this equation by expanding the left side and combining like terms on the right side:
x^2 + x = 2x + 20
Now we can move all the terms to one side and get a quadratic equation:
x^2 - x - 20 = 0
We can factor this equation as (x-5)(x+4) = 0, which means the solutions for x are 5 and -4.
Therefore, the two consecutive integers are either 4,5 or -4,-3.
The long answer includes all the steps of solving the quadratic equation:
x^2 - x - 20 = 0
We can use the quadratic formula to solve for x:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a=1, b=-1, and c=-20.
x = (1 ± √(1 - 4(1)(-20))) / 2(1)
x = (1 ± √81) / 2
x = (1 ± 9) / 2
The two solutions for x are 5 and -4.
Therefore, the two consecutive integers are either 4,5 or -4,-3.
The product of two consecutive integers is 19 more than their sum. To find the integers, let's represent them as x and x+1.
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Help ASAP!!!!!!!!!!!!!!
A quadrilateral WXYZ has vertices W(3, −5), X(1, −3), Y(−1, −5), and Z(1,−7). What are the vertices of r(90, O)(WXYZ)?
Given:
A quadrilateral WXYZ has vertices W(3, −5), X(1, −3), Y(−1, −5), and Z(1,−7).
Rule of rotation is \(r_{(90^\circ, O)}(WXYZ)\).
To find:
The vertices after rotation.
Solution:
We know that, \(r_{(90^\circ, O)}(WXYZ)\) means 90 degrees counterclockwise rotation around the origin.
So, the rule of rotation is defined as
\((x,y)\to (-y,x)\)
Using this rule, we get
\(W(3,-5)\to W'(5,3)\)
\(X(1,-3)\to X'(3,1)\)
\(Y(-1,-5)\to Y'(5,-1)\)
\(Z(1,-7)\to Z'(7,1)\)
Therefore, the required vertices after rotation are W'(5,3), X'(3,1),Y'(5,-1) and Z'(7,1).
The costs of repairing iPads in UAE are normally distributed with a mean of 173 Dhs. If
3%
of the costs exceed 243 Dhs, find the standard deviation of the costs. Round your answer to the nearest diham (Whole number).
The standard deviation of the costs is 37 Dhs
The given mean is 173 and 3% of costs exceed 243. We have to calculate the standard deviation of the cost. Therefore, let's first start by calculating the z-score as follows;z-score formula = `(x - μ) / σ`z-score = `243 - 173 / σ`z-score = `70 / σ`We need to find the standard deviation of the costs. Since the z-score formula includes standard deviation, we can first calculate the z-score and then use it to calculate the standard deviation.Using the z-table, we can find the z-score for 3% = -1.88-1.88 = (243 - 173) / σσ = (243 - 173) / -1.88σ = -70 / -1.88σ = 37.23≈ 37The standard deviation of the costs is 37 Dhs. Hence, the correct option is as follows.Option D is the correct option.
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Stone runs 1 mile five times a week. How many miles does 4 he run each week? Write the equation you would use to solve. Then, fill in the grid with your answer. Tip: Fill in your answer as a fraction greater than 1.
The number of miles in 4 weeks is 20 mules
How to determine the number of milesFrom the question, we have the following parameters that can be used in our computation:
Stone runs 1 mile five times a week
This means that the rate is
Rate = 1 mile * 5 per week
So, we have
Rate = 5 miles per week
For 4 weeks, we have
Distance = 5 * 4
Evaluate
Distance = 20 miles
Hence, the distance is 20 miles
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On the unit circle, where 0 < theta < or equal to 2pi, when is tan theta undefined?
A. Theta=pi and theta=2pi
B. sin theta = cos theta
C. theta = pi/2 and theta=3pi/2
D. sin theta = 1/cos theta
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.
To determine when tan(theta) is undefined on the unit circle, we need to remember the definition of the tangent function.
Tangent is defined as the ratio of the sine and cosine of an angle. Specifically, tan(theta) = sin(theta)/cos(theta).
Now, we know that cosine can never be equal to zero on the unit circle, since it represents the x-coordinate of a point on the circle and the circle never crosses the x-axis. Therefore, the only way for tan(theta) to be undefined is if the cosine of theta is equal to zero.
There are two values of theta on the unit circle where cosine is equal to zero: pi/2 and 3pi/2.
At theta = pi/2, we have cos(pi/2) = 0, which means that tan(pi/2) = sin(pi/2)/cos(pi/2) is undefined.
Similarly, at theta = 3pi/2, we have cos(3pi/2) = 0, which means that tan(3pi/2) = sin(3pi/2)/cos(3pi/2) is also undefined.
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.
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Geometry B.5 Add
Learn with an example
If TU = 14 and UV = 10, what is TV?
5
the bloch sphere geometric representation of a quantum state is parameterized by two angles and such that . what are the values of the angles and for the state
The range of values for θ and φ is such that they must not repeat in order to cover the entire sphere θ∈[0,π) and φ∈[0,2π).
The Bloch sphere representation, which bears Felix Bloch's name, is the outcome of the foregoing. This illustration is a unit 2-sphere with two mutually placed spheres at the north and south poles. In contrast, quantum bits cover the entire sphere, whereas these are the only conceivable states for the classical bit representation.
(Disclaimer: One could counter that since the classical bit is represented by voltages, the classical bit representation also contains the axis linking the two poles. As a result, the Bloch sphere illustrates that there is substantially more information involved in quantum bits. When the qubit is measured, one of the two poles is what remains. Exactly which pole is determined by the direction the arrow in the Bloch representation points.
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-2(7x + 3y)=86a. (2,38)b.(1,-24)c.(-1,-12)d.(-2,-9)
The coordinates of a point are written in the form:
\((x,y)\)Substitute the values of x and y of each given option to check if they satisfy the equation or not.
a)
x=2 and y=38
\(\begin{gathered} -2(7(2)+3(38))=86 \\ \Rightarrow-2(14+114)=86 \\ \Rightarrow-2(128)=86 \\ \Rightarrow-256=86 \end{gathered}\)This point does not satisfy the equation.
b)
x=1 and y=-24
\(\begin{gathered} -2(7(1)+3(-24))=86 \\ \Rightarrow-2(7-72)=86 \\ \Rightarrow-2(-65)=86 \\ \Rightarrow130=86 \end{gathered}\)This point does not satisfy the equation.
c)
x=-1 and y=-12
\(\begin{gathered} -2(7(-1)+3(-12))=86 \\ \Rightarrow-2(-7-36)=86 \\ \Rightarrow-2(-43)=86 \\ \Rightarrow86=86 \end{gathered}\)This point satisfies the equation.
d)
x=-2 and y=-9
\(\begin{gathered} -2(7(-2)+3(-9))=86 \\ \Rightarrow-2(-14-27)=86 \\ \Rightarrow-2(-41)=86 \\ \Rightarrow82=86 \end{gathered}\)This point does not satisfy the equation.
Therefore, the only option which satisfies the given equation, is:
\(c.(-1,-12)\) In the given figure, ABCD is a trapezium in which AD || BC,
ABC = 90°, AD = 16 cm, AC = 41 cm and BC = 40 cm. Find the
area of the trapezium,
Answer:
252 cm²
Step-by-step explanation:
Find AB:
AB² = 41² - 40²
AB² = 81
AB = √81
AB = 9 cm
Area of the trapezium = ½(a + b) × h
Where,
a = 16 cm
b = 40 cm
h = 9 cm
Area = ½(16 + 40) × 9
Area = ½(56)×9
Area = 252 cm²
If you save three pennies on January 1, six pennies on January 2, nine
pennies on January 3, and continue this pattern for one year (not a leap year),
what will be the value of your entire savings, in dollars, at the end of that one
year? Express your answer as a decimal.
Answer:
2003.85
Step-by-step explanation:
365/2 * (3 + 1095) = 200385.
1 Dollar = 100 pennies
200385 pennies/100 = 2003.85
so you have $2003.85 in your account on the 365th day.
hope this helps :-)
Find the slope of the line that passes through the points (2, 1) and (-1,-1).
O
02
O 2/3
Answer:
0
Step-by-step explanation:
m=y2-y1 / x2-x1
m= -1-1/-1-2
m=0/-3
m=0