The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 39 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 25 sales representatives reveals that the mean number of calls made last week was 40. The standard deviation of the sample is 3.8 calls. Using the 0.100 significance level, can we conclude that the mean number of calls per salesperson per week is more than 39?
H0:μ≤39
H1:μ>39
What is the decision regarding H0?
Answers
Answer:
Following are the solution to these choices:
Step-by-step explanation:
\(\mu_{0}=39\\\\n = 25\\\\s = 3.8\\\\\bar{X}=40\\\\\alpha =0.1\)
The test assumption is:
\(\text{Null Hypothesis} \to H_0:\mu =\mu_{0}\\\\\text{Alternate Hypothesis} \to H_1:\mu >\mu_{0}\\\\\)
It is a checked right-tail, since the alternative hypothesis is produced to classify the argument when the data difference is greater than 0.
\(\text{Critical value} =t_{\alpha,n-1} = t_{0.1, 24} =1.3178\\\\\text{Rejection Region:} t_{0} > t_{\alpha,n-1}\\\\\text{Since} \ t_{0} = 1.3158 < 1.3178 = t_{0.1}\\\\\)
The null hypothesis should be rejected: \(H_{o}: \mu = 39.0\ at\ \alpha =0.1.\)
They have little enough proof that perhaps the average number of calls per person per week amounts to even more than 39.
Related Questions
cash received from long-term notes payable $ 67,000 purchase of investments 16,900 cash dividends paid 54,200 interest paid 27,100 compute cash flows from financing activities using the above company information. (amounts to be deducted should be indicated by a minus sign.)
Answers
cash dividends paid that should be recorded in the financing section of the statement of cash flow is $ 148300
With regards to the above, information, the amount of cash dividends paid that should be recorded is computed as;
= Cash dividends payable at the beginning of the year + Cash dividends declared for the year - Cash dividends payable at the end of the year
= $27,100 + $67,000 - $54,200
= $ 148 300
Therefore, cash dividends paid that should be recorded in the financing section of the statement of cash flow is $ 148300
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2. Increasing the minimum wage has not traditionally caused massive unemployment though traditional economists have argued that it should. Why have changes to minimum wage not affected unemployment too much?
3. The US has one of the lowest federal minimum wages compared to other developed nations. Can you think of reasons why this might be?
4. The real minimum wage has fallen over time with the rise of inflation. This represents less purchasing power for minimum wage workers. Are you ok with that? Why or why not? How many people actually earn at or near minimum wage?
Answers
Despite traditional economic theory suggesting that an increase in the minimum wage should lead to unemployment, the actual impact on employment has been more nuanced. Empirical evidence suggests that moderate increases in the minimum wage have not led to massive job losses, but rather have resulted in small increases in labor costs that are offset by increased productivity and reduced employee turnover. Additionally, higher wages can increase consumer spending, leading to an increase in demand for goods and services, which can ultimately create more jobs.
There are several reasons why the federal minimum wage in the US is lower than in other developed countries. One reason is the political climate in the US, where there is often resistance to government intervention in the labor market. Additionally, many US states have their own minimum wage laws, which can be higher than the federal minimum wage. Finally, the US has a large low-skilled immigrant workforce, which can put downward pressure on wages.
I am not okay with the real minimum wage falling over time with the rise of inflation. Inflation erodes the purchasing power of workers, making it difficult for them to make ends meet. This can lead to increased financial hardship, which can have negative effects on individuals and families. Furthermore, the minimum wage was originally designed to ensure that workers earn a living wage, which is a basic necessity for a decent standard of living. As such, it is important that the minimum wage keep pace with inflation.
According to the Bureau of Labor Statistics, in 2021, about 1.9 million workers in the US earned at or below the federal minimum wage of $7.25 per hour. However, many more workers earn slightly above the minimum wage, and an increase in the minimum wage could potentially raise wages for those workers as well. Additionally, many states have higher minimum wage rates than the federal minimum wage, which means that the number of workers affected by changes to the minimum wage will vary depending on the state.
~~~Harsha~~~
3. One reason why the US has one of the lowest federal minimum wages compared to other developed nations is because of the country's historical emphasis on individualism and free-market capitalism. Many Americans believe that the government should not interfere too much in the economy and that wages should be determined by market forces rather than government regulations. Additionally, some argue that a higher minimum wage would lead to higher prices and inflation, which could hurt the economy as a whole.
4. it could be argued that a falling real minimum wage represents a failure of the system to provide for the basic needs of its citizens. Minimum wage workers may struggle to make ends meet, which can lead to a host of social and economic problems. In terms of the number of people who earn at or near minimum wage, this varies by location and industry, but it is estimated that around 2.3% of US workers earn the federal minimum wage or less.
Let S be the statement: The product of any irrational number and any nonzero rational number is irrational. (a) Write a negation for S. (b) Prove S by contradiction.
Answers
Answer:
Negation: The product of any irrational number and any nonzero rational number is not irrational.
Step-by-step explanation:
(a)
Given statement: The product of any irrational number and any nonzero rational number is irrational.
Negation: The product of any irrational number and any nonzero rational number is not irrational.
(b)
Let if possible the product of any irrational number and any nonzero rational number is not irrational that is rational.
Let \(x\) be an irrational number and \(y\neq 0\) be a rational number.
\(xy=z\) where \(z\) is rational.
So,
\(xy=z\\x=\frac{z}{y}\)
As quotient of two rational numbers is also rational, \(x\) must be rational which is a contradiction to the fact that \(x\) is irrational.
Please Help!!!!! I will give brainliest and 5 stars!!!!
Answers
1. A system of linear functions cannot have only two or three solutions, the possible amounts are: Zero, One and Infinity.
2. This is not true because if the lines do not cross, the system has no solutions.
3. Substitution: Explicit variable, such as:
x = 3, y + 3x = 10.y = 2x + 4, 3x + 2y = 20.Elimination: Non-explicit variable, such as:
x + y = 2, 2x + 3y = 5.x - y = 10, 2x + 5y = 40.What are linear functions?Linear functions have the definition given as follows:
y = mx + b.
In which the coefficients are given as follows:
m is the slope.b is the y-intercept.A system of linear equations is composed by multiple equations, and the number of solutions is defined as follows:
Zero solutions: slopes are multiples and intercepts are not -> the functions do not intersect on the graph.One solution: different slope and intercepts -> the functions intersect once on the graph.Infinitely many solutions: slopes and intercepts are multiples, hence the functions are the same on the graph.There are two ways to solve the systems, given as follows:
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QUESTION:-↓
The dimensions of a room are 12.5 m by 9 m by 7 m. there are 2 doors and 4 windows in the room; each door measures 2.5 m by 1.2 m and each window 1.5 m by 1 m. Find the cost of painting the walls at Rs. 3.50 per square meter.
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Answers
Given dimensions of the room:
Length: \(\displaystyle\sf 12.5 \,m\)
Width: \(\displaystyle\sf 9 \,m\)
Height: \(\displaystyle\sf 7 \,m\)
Area of each wall:
\(\displaystyle\sf Area_1 = 12.5 \times 7 = 87.5 \,m^2\)
\(\displaystyle\sf Area_2 = 12.5 \times 7 = 87.5 \,m^2\)
\(\displaystyle\sf Area_3 = 9 \times 7 = 63 \,m^2\)
\(\displaystyle\sf Area_4 = 9 \times 7 = 63 \,m^2\)
Area of each door:
\(\displaystyle\sf Area_{\text{door}} = 2.5 \times 1.2 = 3 \,m^2\)
Area of each window:
\(\displaystyle\sf Area_{\text{window}} = 1.5 \times 1 = 1.5 \,m^2\)
Total area occupied by doors:
\(\displaystyle\sf Total_{\text{doors}} = 2 \times Area_{\text{door}} = 2 \times 3 = 6 \,m^2\)
Total area occupied by windows:
\(\displaystyle\sf Total_{\text{windows}} = 4 \times Area_{\text{window}} = 4 \times 1.5 = 6 \,m^2\)
Total wall area excluding doors and windows:
\(\displaystyle\sf Total_{\text{wall\,area}} = (Area_1 + Area_2 + Area_3 + Area_4) - Total_{\text{doors}} - Total_{\text{windows}}\)
\(\displaystyle\sf = (87.5 + 87.5 + 63 + 63) - 6 - 6\)
\(\displaystyle\sf = 275 - 6 - 6\)
\(\displaystyle\sf = 263 \,m^2\)
Cost of painting the walls:
\(\displaystyle\sf Cost_{\text{painting}} = Total_{\text{wall\,area}} \times 3.50\)
\(\displaystyle\sf = 263 \times 3.50\)
\(\displaystyle\sf = 920.50 \,Rs\)
Therefore, the cost of painting the walls of the room at Rs. 3.50 per square meter is Rs. 920.50.
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Set up and solve a proportion for the following application problem. If 3 pounds of grass seed cover 403 square feet, how many pounds are needed for 6045 square feet? HELP
I'LL GIVE 50 POINTS
Answers
There are 45 pounds are needed for 6045 square feet.
What is pounds?
The United Kingdom and nine of its associated territories use the sterling as their currency. The pound is the primary unit of sterling, and the term "pound" is also frequently used to refer to the British pound or the pound sterling in international contexts.
Given:
3 pounds of grass seed cover 403 square feet.
We have to find the how many pounds are needed for 6045 square feet.
As 3 pounds of grass seed cover 403 square feet.
⇒ 403/3 = 134.33
⇒ 1 pound of grass seed cover 134.33 square feet.
Let x pounds needed for 6045 square feet.
⇒ x = 6045 / 134.33 = 45
Hence, there are 45 pounds are needed for 6045 square feet.
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If the radius of a sphere increases from 3 feet to 9 feet, by how many cubic feet does the volume of the sphere increase? 967 ft3 A 1087 ft3 936 ft 0
Answers
The volume of a sphere is given by:
\(V=\frac{4}{3}\pi r^3\)The original sphere, with radius r=3, has volume:
\(\begin{gathered} V=\frac{4}{3}\pi(3)^3 \\ =36\pi \end{gathered}\)The second sphere, with radius r=9, has volume:
\(\begin{gathered} V=\frac{4}{3}\pi(9)^3 \\ =972\pi \end{gathered}\)To find how much the volume increased we substract the first volume to the second one:
\(972\pi-36\pi=936\pi\)Therefore the v
What is the answer? Is it the first, second, third or fourth.
Answers
Answer:
4th
Step-by-step explanation:
There are fewer than 76 because 5 x 76= 380+20=400 and 400 has to be greater than the number. Therefore you make it less than 76. Hopefully this helps!
Answer:
(d)
Step-by-step explanation:
the answer is there are fewer than 76.
Determine whether each of the following statements is true or false. a. The least-squares regression line is the line that makes the square of the correlation in the data as large as possible. False b. The least-squares regression line is the line that makes the sum of the squares of the vertical distances of the data points from the line as small as possible True c. The least-squares regression line is the line that best splits the data in half, with half of the points above the line and half below the line. False d. The least-squares regression line always passes through the point (x-bar,y-bar ), the means of the explanatory and response variables, respectively. True
Answers
Answer:
Options A & C are False while Options B & D are true.
Step-by-step explanation:
The definition of least squares regression line is given as;
The Least Squares Regression Line is a line that normally causes the vertical distance from the data points to the regression line to be as small as possible.
The term “least squares” is derived from the fact that the best line of fit is one that minimizes the the sum of squares of the errors which is also called the variance.
From this definition above, we can see that options A and C are false while option B is the perfect definition for the least line of squares.
Now, the point (x-bar,y-bar ) is known as the mean.
However, every least squares must pass through the middle point of the given data. The mean is the middle point of data in regression analysis. Thus, we can infer that the least-squares regression line always passes through the mean which is point (x-bar,y-bar ). Thus, option D is true.
Write the equation of a circle with a diameter endpoints of 13 and -1 and 15 and 9
Answers
The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.
Given that:
Endpoints of diameter, (13, -1) and (15, 9)
The equation of the circle when endpoints of diameter are given is written as,
(x - x₁)(x - x₂) + (y - y₁)(y - y₂) = 0
The equation of the circle is calculated as,
(x - 13)(x - 15) + (y + 1)(y - 9) = 0
x² - 28x + 195 + y² - 8y - 9 = 0
x² + y² - 28x - 8y + 186 = 0
The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.
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35%of students wear glasses.There are 14 students who wear glasses.How many pupils are there in the class?
Answers
Answer: 40 pupils
Step-by-step explanation:
35 14
------- = --------
100 ?
find the denominator.
multiply 14 and 100:
14 x 100 = 1400
divide 1400 by 35
1400/35 = 40
Therefore there are 40 students
How do you convert Standard Form of an Equation to Slope Intercept Form?
Answers
Answer:
In order to go from one form to another, all you have to do is change the order of the given numbers. First you want to move the Ax to the opposite side of the equation, by either adding or subtracting it. At this point your equation will be set up By = -Ax + C. Then you want to divide the B from the By and the rest of the equation. Therefore you will have y = - Ax/B + C/B. This is the same thing as the slope-intercept form, just a few of the letters are different.
8x + 4y = 16
8x + 4y = 16 first subtract 8x
4y = -8x + 16 then divide all by 4
y = -2x + 4 slope form
Joanna's vegetable garden covers an area of 16 of a square mile. If the garden is 14 mile wide, how long does the garden stretch?
112 mile
1 over 12 mile
512 mile
5 over 12 mile
23 mile
2 thirds mile
34 mile
Answers
The length of the rectangular garden given the area and width is 8/7 miles
Area of rectangleA rectangle is a form of quadrilateral having opposing sides parallel and four right angles. The area of a rectangle can be calculated by multiplying the length by width.
Width of the rectangular garden = 14 mileLength of the rectangular garden = x mileArea of the garden = 16 square milesArea of a rectangular garden = length × width
16 = x × 14
16 = 14x
divide both sides by 14x = 16 / 14
x = 8/7 miles
Therefore, the length of the rectangular garden given the area and width is 8/7 miles.
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The vector ⇀
= ⟨2, 3⟩ is multiplied by the scalar –4. Which statements about the components, magnitude, and direction of the scalar product –4⇀
are true? Select all that apply.
A. The component form of −4⇀
is ⟨–8, –12⟩.
B. The magnitude of −4⇀
is 4 times the magnitude of ⇀
.
C. The direction of −4⇀
is the same as the direction of ⇀
.
D. The vector −4⇀
is in the fourth quadrant.
E. The direction of −4⇀
is 180° greater than the inverse tangent of its components.
Answers
Answer:
Therefore, the correct statements are A, B, and E.
Explanation:
Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.
To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀
.
- The component form of −4⇀
is obtained by multiplying each component of ⇀
by –4. Therefore, −4⇀
= ⟨–8, –12⟩. This means that statement A is true.
- The magnitude of −4⇀
is obtained by multiplying the magnitude of ⇀
by 4. The magnitude of ⇀
is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀
is 4√13. This means that statement B is true.
- The direction of −4⇀
is opposite to the direction of ⇀
because the scalar –4 is negative. This means that statement C is false.
- The vector −4⇀
is in the third quadrant because its components are both negative. This means that statement D is false.
- The direction of −4⇀
is 180° greater than the inverse tangent of its components because it is opposite to ⇀
. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀
is 180° + tan^(-1)(3/2). This means that statement E is true.
Therefore, the correct statements are A, B, and E.
9. The temperature at noon was 84° F and it began to drop 0.8° each hour. If the current temperature is 79.2° F, write and solve an equation to determine the number of hours that have passed.
Answers
Answer:6 hours have passed by.
Step-by-step explanation:
0.8x= 84-79.2 where x is the number of hours.
O.8x = 4.8
Divide both sides by 0.8
X= 6
I am trying to perform an A/B test to see if two samples come from the same underlying distribution. My alternative hypothesis is that the samples do not come from the same underlying distribution. The _________ should be chosen as the test statistic. _________ _________ values of this statistic provide evidence in favor of the alternative hypothesis.
a. difference between the groups' averages, large absolute
b. total variation distance, large
c. difference between the groups' averages, large
Answers
the correct option is a. difference between the groups' averages, large absolute
I am trying to perform an A/B test to see if two samples come from the same underlying distribution. My alternative hypothesis is that the samples do not come from the same underlying distribution. The difference between the groups should be chosen as the test statistic averages large absolute values of this statistic provide evidence in favor of the alternative hypothesis.
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A triangle has a base length of 3ac2 and a height 2 centimeters more than the base length. Find the area of the triangle if a = 2 and c = 3.
Answers
The area of the triangle, when a = 2 and c = 3, is 1512 square centimeters.
We must apply the formula for the area of a triangle, which is provided by: to determine the triangle's area.
(1/2) * Base * Height = Area
We can enter the values of a = 2 and c = 3 into the formula given that the base length is 3ac2 and the height is 2 centimetres greater than the base length.
Base length =\(3ac^2 = 3 * 2 * (3^2) = 3 * 2 * 9 = 54\) centimeters
Height is calculated as Base Length + 2 (54 + 2 = 56 centimetres).
Using these values as a substitute in the formula, we obtain:
Area =\((1/2) * 54 * 56 = 1512\) square centimeters
centimetres square
It's crucial to understand that the calculation assumes the triangle is a right triangle with the specified base and height and that the given values of a and c are accurately used in the formula.
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Suppose 1 - |x| ≤ f(x) ≤ cos(x) for all values of x. Which of the following MUST be true? Select all correct answer choices. a. lim x→0 f(x)exists. b. lim x→0 f(x) = 1 c. f(0) = 1 d. lim x→1 f(x) = 0
Answers
Suppose 1 - |x| ≤ f(x) ≤ cos(x) for all values of x. Since the function f(x) is defined for all values of x, the limit at x = 0 must exist. Therefore, statements a and c are true.
To determine whether b and c are true, we need to consider the bounds on f(x):
1 - |x| ≤ f(x) ≤ cos(x)
When x = 0, the bounds become:
1 - |0| = 1 ≤ f(0) ≤ cos(0) = 1
So f(0) must be equal to 1, and statement c is true:
c. f(0) = 1
However, statement b is not necessarily true. The limit of f(x) as x approaches 0 is equal to the value that f(x) approaches as x gets arbitrarily close to 0, but it does not have to be equal to the value of f(0).
To determine whether d is true, we need to consider the limit of f(x) as x approaches 1. To do this, we will use the bounds on f(x):
1 - |x| ≤ f(x) ≤ cos(x)
As x approaches 1 from the left, the lower bound approaches 0, and as x approaches 1 from the right, the upper bound approaches cos(1).
Since 0 ≤ f(x) ≤ cos(1) for all values of x near 1, it is possible that the limit of f(x) as x approaches 1 is any value between 0 and cos(1). Therefore, statement d is not necessarily true:
d. lim x→1 f(x) = 0
The correct answer choices are:
a. lim x→0 f(x) exists.
c. f(0) = 1
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find the measure of angle A
Answers
Answer:
do 5x-27+7x-26=10x-23 because sum of two interior angle of a triangle is equal to the sum of one exterior angle and don't forget because it comes daily in exam
please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answers
Answer:
I think its C
Step-by-step explanation:
Which models show that 1/2is equivalent to 7/4?
Answers
The requried, from the number line, shown, equation true is 1/3 = 3/9.
What is a number line?A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
From the figure of the number line shown,
1. 1/3 of the number line s shaded, for 0 to 1
While in 2. 3/9 of the number line is shaded for 0 to 1,
When simplifying the fraction of the number two line,
= 3 / 9 = 1 / 3
Thus, the requried, from the number line, shown, the equation true is 1/3 = 3/9.
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Given f(x) = x² - 5x - 6 and g(x) =
x² - 6x, what are the domain restrictions
for (-)(x)?
A) x # +6
B) x = 0
C) x = 0,6
D) x = -2,6
Answers
The domain restrictions for (f/g)(x) are (c) x = 0, 6
How to determine the domain restrictions for (f/g)(x)?From the question, we have the following parameters that can be used in our computation:
f(x) = x² - 5x - 6
g(x) = x² - 6x
The composite function (f/g)(x) is calculated as
(f/g)(x) = f(x)/g(x)
substitute the known values in the above equation, so, we have the following representation
(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)
For the domain restriction, we have
x² - 6x = 0
When solved, we have
x = 6 or x = 0
Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6
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Question
Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions
for (f/g)(x)?
A) x = +6
B) x = 0
C) x = 0,6
D) x = -2,6
someone please just help me i'm almost done with my math for today!
marking brailist
Answers
therefore the answer is A
Write 1 ordered pair excluding the y-intercept given the slope and y-int. of this line.
Answers
Answer:
y=2/3x+2
Step-by-step explanation:
Is 1 greater than, less than, or equal to 8/10?
Answers
Answer:
Greater than ( > )
Step-by-step explanation:
Answer:
Greater than
Step-by-step explanation
1 is greater than 0.8
what is 2x3 - 5x2 - 4x - 25
divided by X - 4
Answers
Answer:
2x² + 3x + 8 + 7/x-4
Step-by-step explanation:
For this problem, we can use synthetic division.
4 | 2 -5 -4 -25
| 8 12 32
|_________
2 3 8 7/x-4
This means the quotient is 2x² + 3x + 8 + 7/x-4.
please help with this question
Answers
The probability of the sample mean being less than 25.3 is given as follows:
0.9713 = 97.13%.
The sample mean would not be considered unusual, as it has a probability that is greater than 5%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation given by the equation presented as follows: \(s = \frac{\sigma}{\sqrt{n}}\).The parameters for this problem are given as follows:
\(\mu = 25, \sigma = 1.3, n = 68, s = \frac{1.3}{\sqrt{68}} = 0.1576\)
The probability of a score less than 25.3 is the p-value of Z when X = 25.3, hence:
Z = (25.3 - 25)/0.1576
Z = 1.9
Z = 1.9 has a p-value of 0.9713.
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What is the area of this triangle? Please help
150 cm2
210 cm2
315 cm2
420 cm2
Answers
Answer:
\(B.210\ cm^2\)
Step-by-step explanation:
\(We\ are\ given,\\Length\ of\ the\ base=35\ cm\\Length\ of\ the\ perpendicular\ dropped\ to\ the\ base=12\ cm\\We\ know\ that,\\Area\ of\ triangle=\frac{bh}{2}\\ Here,\\Area\ of\ triangle=\frac{12*35}{2}=6*35=210\ cm^2\)
Halla x si:
a) 4√5 b) √5 c) 4√3 d) 4 e) 4√2
Answers
Answer:
Option A. 4√5
Step-by-step explanation:
To obtain the value of x, we must first obtain the value of y as shown in the attached photo.
The value of y can be obtained by using the pythagoras theory as illustrated below:
In this case y is the longest side i.e the Hypothenus.
y² = 4² + [4√3]²
y² = 4² + [4² × (√3)²]
y² = 4² + [4² × 3]
y² = 16 + [16 × 3]
y² = 16 + 48
y² = 64
Take the square root of both side
y = √64
y = 8
Finally, we shall determine the value of x by using the pythagoras theory as illustrated below.
Note: x is the longest side i.e the Hypothenus in this case.
x² = 4² + 8²
x² = 16 + 64
x² = 80
Take the square root of both side
x = √80
x = √(16 × 5)
x = √16 × √5
x = 4√5
Therefore, the value of x is 4√5.
Write [ (-4)×(-5)]^5 as a product of powers.
A.(-4)^5+(-5)^5=
b. 4^5×5=
c. (-4)^5×(-5)^5=
d.5(-4)+5(-5)=
Answers
Answer:
c
Step-by-step explanation:
I took the test and got a 4/5
Answer:
(-4)^5x(-5)^5=
Step-by-step explanation: