The expression we have is:
\(9d-4f\)And we are given values for d and f:
\(\begin{gathered} d=9 \\ f=8 \end{gathered}\)The first step will be to substitute these values into the expression
Step 1. Substituting d=9 and f=8 into the given expression:
\(9d-4f=9(9)-4(8)\)Step 2. Simplify the multiplications.
9(9) is equal to 81 and 4(8) is equal to 32, thus:
\(9d-4f=81-32\)Step 3. The last step is to subtract 81-32:
\(9d-4f=49\)This result is shown in option b.
Answer:
b) 49
Determine whether the following statement is true or false.
For a test of independence, the population that the data has come from must be normally distributed.
A. True
B. False
Answer:
The provided statement is False.
Step-by-step explanation:
The assumptions to perform a test of independence are:
The sample selected is randomA large sample is selectedThe observations are independent of each otherThe observations follow the same distribution.It is not necessary that the parent population or the population from which the sample is collected is normally distributed.
Thus, the provided statement is False.
What is cos(tan^-1(-2/3))=
cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.
To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:
cos(tan^(-1)(x)) = 1 / √(1 + x^2)
In this case, x is -2/3. Substituting the value into the identity:
cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)
Now, let's calculate the value:
cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)
= 1 / √(13/9)
= 1 / (√13/3)
= 3 / √13
= 3√13 / 13
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For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of eight types of automobile, the linear correlation coefficient is found and the P-value is 0.003. Write a statement that interprets the P-value and includes a conclusion about linear correlation.
Answer:
The P value indicates that the probability of a linear correlation coefficient that is at least as extreme is 0.3% which is not significant (at α = 0.05), so there is insufficient evidence to conclude that there is a linear correlation between weight and consumption. of highway fuel in cars.
Step-by-step explanation:
We have that the correlation coefficient shows the relationship between the weights and amounts of road fuel consumption of seven types of car, now the P value establishes the importance of this relationship. If the p-value is lower than a significance level (for example, 0.05), then the relationship is said to be significant, otherwise it would not be so, this case being 0.003 not significant.
The statement would be the following:
The P value indicates that the probability of a linear correlation coefficient that is at least as extreme is 0.3% which is not significant (at α = 0.05), so there is insufficient evidence to conclude that there is a linear correlation between weight and consumption. of highway fuel in cars.
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Which point shows the location of 5 - 2i on the complex plane below?
5 4 3 2 1
2
2 3
4
5
х
-5-4-3-2-14
2
-2
-3
00
O point A
O point B
O point C
O point D
Mark this and return
Save and Exit
Next
Sub
Answer: B
I took the edge test
Step-by-step explanation:
The location of the complex number 5 - 2i will be (5, -2) which is point D. Then the correct option is D.
What is a complex number?The complex number is the combination of the real part and the imaginary part. Then the complex number is given as a+bi where the value of i is √(-1) and the value of i² is -1.
The complex number is given below.
⇒ 5 - 2i
The real part represents the x-axis and the imaginary part represents the y-axis. Then the location of the complex number is written as,
⇒ (5, -2)
The location of the complex number 5 - 2i will be (5, -2) which is point D. Then the correct option is D.
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what is - 9 1/8 as a decimal number
Answer:
-9.125
Step-by-step explanation:
Answer:
It is -9.125.
Step-by-step explanation:
Please mark me Brainliest
Graph the line.
Y=-1/4x+4
To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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For the arithmetic sequence beginning with the terms {-1, 2, 5, 8, 11, 14...}, what is the sum of the first 16 terms?
Answer:
S₁₆ = 344
Step-by-step explanation:
the sum to n terms of an arithmetic sequence is
\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = - 1 and d = a₂ - a₁ = 2 - (- 1) = 2 + 1 = 3 , then
S₁₆ = \(\frac{16}{2}\) [ (2 × - 1) + (15 × 3) ]
= 8 (- 2 + 45)
= 8 × 43
= 344
Help me please (I have to write something to send a question)
Answer:
1. This helps me to know if the answer of an opposite integer will be positive or negative by simply subtracting their absolute values then put the sign of the largest absolute value between the two.
2. By identifying first the largest absolute value of the two integers that are being add up. Without, calculations, i will know the sign of the sum.
3. the picture attached is the answer
Step-by-step explanation:
hope it will help you
29.For n ≥ 3, a pattern can be made by overlapping n circles, each of circumference 1 unit, so that each circle passes through a central point and the resulting pattern has order-n rotational symmetry.
For instance, the diagram shows the pattern where n = 7.
If the total length of visible ares is 60 units, what is n?
The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.
To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).
In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.
Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:
2n = 60
Solving this equation, we find:
n = 60/2 = 30
Thus, the value of n is 30.
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Alisson is normally given $x each month; but in November she was given $9 more than thrice her usual amount. In November she was give
Answer:
Alisson
In November, Alisson was given $12.
Step-by-step explanation:
The normal amount given to Alisson each month = $x
If in November Alisson was given $9 more than thrice her usual amount of $x, it implies that she was usually given $3 ($9/3) per month because $9 is three times (thrice) than $3.
Therefore, Alisson's usual amount per month which is $x = $3
This implies that in November she was given $12 ($3 + $9), which was thrice more.
To check the correctness of the above reasoning, we recall that $12 is more by $9 than $3, and $9 is thrice than the $3 given to Alisson per month.
Which fraction is larger: -3/4 or –2/4
Answer:3/4
Step-by-step explanation: If you weigh a brick at 2/4 lbs, it will weigh less than a brick that weighs 3/4
Use the scale to help you solve the equation and find the value of x. Enter the
value of x below.
x+ 6 = 12
X =
Answer:
x=6
Step-by-step explanation:
12-6=6 or 6+6=12
Mofor has homework assignments in five subjects. He only has time to do two of
them.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.
If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:
1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.
2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.
3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.
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What is the slope of the line that passes through
the points (2,-4) and (2, 4)?
A. -3 B.0. C.8. D. Undefined
The line is a vertical line, then the correct option is D, the slope is undefined.
How to find the slope of the line?A general linear equation can be written as:
y = a*x + b
Where a is the slope, b is the y-intercept, and x is the variable.
If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope of that line is given by the formula:
a = (y₂ - y₁)/(x₂ - x₁)
Here we know that the two points are (2, -4) and (2, 4)
Replacing that we would have a problem, that is because we have the same x-value in both points.
Then we have a vertical line at x = 2.
That line has no defined slope, thus, the correct option is D.
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I need help for this
Answer:
1
Step-by-step explanation:
To find the slope take two points on the line
(-1,0) and (0,1)
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 1-0)/(0- -1)
= (1-0)/(0+1)
= 1/1
= 1
If annual interest rate is 8.25% on 90,900.00 What is my interest for 1/2 a month. It's for 8 years.
To calculate the interest for 1/2 a month over a period of 8 years, we first need to calculate the total number of months in 8 years:
Total number of months = 8 years x 12 months/year = 96 months
Next, we can calculate the interest for half a month:
Interest = Principal x Rate x Time
Where:
- Principal = $90,900.00
- Rate = 8.25% (annual interest rate)
- Time = 0.5/12 years (half a month, expressed in years)
Rate needs to be converted to a monthly rate, so we divide it by 12:
Rate = 8.25% / 12 = 0.6875% (monthly interest rate)
Time needs to be expressed in years, so we divide it by 12:
Time = 0.5/12 years
Now we can calculate the interest:
Interest = $90,900.00 x 0.006875 x 0.0416667
Interest = $25.08 (rounded to the nearest cent)
Therefore, the interest for 1/2 a month on a principal of $90,900.00 with an annual interest rate of 8.25% over a period of 8 years is $25.08.
Answer:
The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64
Step-by-step explanation:
Make a plan:
Monthly Interest Rate: 8.25% / 12 = 0.006875Interest for 1/2 month is 90900 * 0.006875 * 0.5 = 312.46875Total Interest for 8 years is 312.46875 * 8 * 12 = 30032.64Solve the problem:The monthly Interest Rate is 8.25% / 12 = 0.006875 (Ground Truth)Interest for 1/2 month is 90900 * 0.006875 * 0.5 = 312.46875 (ground truth).Total Interest for 8 years is 312.46875 * 8 * 12 = 30032.64 (ground truth).Draw the conclusion:
The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64Hope this helps!
Question 6 Distance = 90 km, Time = 1 hour 30 minutes, speed = ? km/h = Question 10 please help
Answer:
60km/h
Step-by-step explanation:
90 ÷ 1.5
= 60
60 km/h
Find the domain and range of the following function ƒ(x) = 5|x - 2| + 4 Domain: [4,8) Range: (-∞,∞) Domain: (4,∞) Range: (-∞,∞) Domain: (-∞,∞) Range: [4,∞) Domain: (-∞,∞) Range: (4,∞)
Answer:
Step-by-step explanation:
Hi,
the function is defined for all reals so the domain is \(]-\infty;+\infty[\)
for x real
|x| >= 0
so f(x) >= 4
so the range is \([4;+\infty[\)
do not hesitate if you need any further explanation
hope this helps
Answer:
Domain: (-∞,∞) Range: (4,∞)
The length of a rectangle is 10 cm, which is 1/3 of it's perimeter. Evaluate its perimeter
Answer:
Perimeter = 30 cm
Step-by-step explanation:
10 cm x 3 = 30 cm
the required perimeter of the given rectangle is 30 cm.
What is the perimeter?Perimeter is the measure of the figure on its circumference.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.
Here,
The length of a rectangle is 10 cm, which is 1/3 of it's perimeter.
Length = 1/3 of perimeter
10 = 1/3 perimeter
perimeter = 3 × 10
perimeter = 30 cm
Thus, the required perimeter of the given rectangle is 30 cm.
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Linear Functions Unit Portfolio Directions: Complete each of the tasks outlined below. Cab companies often charge a flat fee for picking someone up and then charge an additional fee per mile driven. Pick a U.S. city and research the rates of two different cab companies in that city. Find companies that charge different amounts per mile and have different flat fees. If you have trouble finding this information for two companies, you can make up what you think would be reasonable prices for a cab's flat rate and a cab's rate per mile. Task 1 a. For the first company, express in words the amount the cab company charges per ride and per mile. b. Write an equation in slope-intercept, point-slope, or standard form. Explain why you chose the form you did. C. What do the slope and y-intercept mean in the context of this problem? Hint: What do you pay when you step into the cab? Task 2 For the second company, express in a table the cost of the cab ride given the number of miles provided. A. Write and equation in slope-intercept, point-slope, or standard form. Explain why you chose the form you did. B. What does the slope mean in the context of the problem? Task 3 Cabs use a valuable commodity—gas! Research average gas prices from 2005-2015 for the city you chose. If you can't find this information for your specific city, you can research national gas price averages instead. A. Create a table showing the average gas price each year. B. Create a scatter plot of the data in your table. C. What equation models the data? What are the domain and range of the equation? Do you think your equation is a good fit for the data? Explain how you determined your answers. D. Is there a trend in the data? Does there seem to be a positive correlation, a negative correlation, or neither? How much do you expect gas to cost in 2020? Explain.
Answer:
Hope this helps you!!!
Have a great day!!!
Which one of the following statements is FALSE?
A
sin 70' = cos 20
B sin 15° = cos 65
С
COS 43 = sin 47
D
sin 12 = cos 78
Answer:
D because you have to cos
Answer:
B and D
Step-by-step explanation:
sin(15)=0.25
cos(65)=0.42
The instructions for mixing a rose fertilizer call for 3/8 cup of potash and 1 3/4 cups of nitrogen. What is the ratio of nitrogen to potash?
Answer:
7/4 : 3/8
Step-by-step explanation:
nitrogen =1 3/4 =7/4
potash= 3/8
Meliza wanted to do some shopping on iTunes. She bought one movie for $6.99 and then by 10 songs. Releases total iPhones cost was $21.99. How much does each song cost? Write your answer in a complete sentence
Answer:
1.5 for each song.
Step-by-step explanation:
subtract $6.99 by $21.99 = 15 divided by 10 = 1.5
If sec theta = 5/4 and theta is in quadrant 3, what is the value of sin theta
Answer: The value of the sin theta in this question is -3/4
Step-by-step explanation: The value of sec theta is reciprocal of cos theta
so firstly here to find the value of cos theta the value of sec theta would be reciprocated and we will get the value of cos theta =4/5 and the angle theta is in the third quadrant therefore here the value of all the trigonometric ratios would be negative except tan and cot and hence the value of cos theta will be negative of 3/4.
Once the value of cosine is calculated then the value of sine is calculated using the Pythagorean theorem and the value comes out to be perpendicular/hypotenuse.
=25-16
=9
The value of the perpendicular is calculated to be 3 hence the value of the sine = perpendicular/hypotenuse then the value of sine=3/4 and since the value of sine is negative because the angle is in the third quadrant.
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What are the coordinates of the point on the directed line segment from ( − 7 , 9 ) (−7,9) to ( 3 , − 1 ) (3,−1) that partitions the segment into a ratio of 2 to 3?
The coordinates of the point on the directed line segment from (-7, 9) to (3, -1) that partitions the segment into a ratio of 2 to 3 are (-3, 5).
To find the coordinates of the point that divides the directed line segment from (-7, 9) to (3, -1) into a ratio of 2 to 3, we can use the section formula.
Let's label the coordinates of the desired point as (x, y). According to the section formula, the x-coordinate of the point is given by:
x = (2 * 3 + 3 * (-7)) / (2 + 3) = (6 - 21) / 5 = -15 / 5 = -3
Similarly, the y-coordinate of the point is given by:
y = (2 * (-1) + 3 * 9) / (2 + 3) = (-2 + 27) / 5 = 25 / 5 = 5
Therefore, the coordinates of the point that divides the line segment in a ratio of 2 to 3 are (-3, 5).
To understand this conceptually, consider the line segment as a distance from the starting point (-7, 9) to the ending point (3, -1). The ratio of 2 to 3 means that the desired point is two-thirds of the way from the starting point and one-third of the way from the ending point. By calculating the x and y coordinates using the section formula, we find that the desired point is located at (-3, 5).
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for every 3 racing computer games that joey owns, he had 5football games, he has 6 racing game. how many games does hehave in total
Answer:
He would have 16 because if you take 3 times 2 to get 6 then you have to ake 5 times 2 to get 10 then you add 6 and 10 to get 16
Step-by-step explanation:
What is the measure of 23, in degrees, in the figure shown? 30° 137° 3
Answer:
73°
Step-by-step explanation:
This equation uses two supplementary angles. Supplementary angles are two angles that add up to 180 degrees.
The triangle has two angles implied, 30 degrees and (180-137) degrees.
(180 - 137) = 43 degrees
Now that we have two angles inside the triangle, we subtract them from 180 to find the last angle.
180 - 43 - 30 = 107
The angle with a measure of 107 degrees and angle 3 are supplementary
180 - 107 = 73 degrees
Answer:73.4° Fahrenheit.
Step-by-step explanation:
Can you please help
Answer:
used formula to find Area of parallelogram
area of parallelogram =b× h
Step-by-step explanation:
solution :
given ,
h = 7cm
b = 9 cm
we know ,
Area of parallelogram = b× h
=63cm²
Elena wants to prove that a quadrilateral with 4 right angles must have congruent opposite sides. Explain to Elena how she can use the fact that all rectangles are parallelograms in her proof.
The quadrilateral which is a rectangle is a parallelogram for which a diagonal of the parallelogram creates two congruent triangles, indicating that the opposite sides of the quadrilateral, which are corresponding sides of the triangles are congruent.
What is a parallelogram?A parallelogram is a quadrilateral that has two pairs of parallel opposite sides.
Elena can use the fact that all rectangles parallelograms to prove that a quadrilateral with 4 right angles must have congruent opposite sides as follows;
A quadrilateral with 4 right angles is a rectangle by definition of a rectangle.
A rectangle is a parallelogram, and the diagonal of the quadrilateral creates two congruent triangles, by Angle-Side-Angle, ASA congruency as follows;
The diagonal of the quadrilateral is congruent by reflexive propertyThe alternate interior angles formed by the diagonal are congruent, therefore, the triangles formed by the quadrilaterals are congruent.The two triangles formed are therefore congruent by ASA congruency ruleThe opposite sides of the quadrilateral are corresponding sides of the two congruent triangles and are therefore congruent by CPCTC.
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