Answers
The graph of the function is added as an attachment
How to graph the function in (1)From the question, we have the following parameters that can be used in our computation:
h(x) = (1/3)ˣ - 4
The above function is an exponential function shifted down from the origin by 4 units
An exponential function of this form is represented as
h(x) = a(b)ˣ + c
Where
Initial value = a
Rate = b
Shift = c
Using the above as a guide, we have the following:
a = 1
b = 1/3
c = -4
Next, we plot the graph
See attachment for the graph of the function
Read more about graph at
https://brainly.com/question/30422919
#SPJ1
Related Questions
What is the location of point G, which partitions the directed line segment from F to D into an 8:5 ratio?
A number line goes from negative 5 to 10. Point D is at negative 4 and point F is at 9. A line is drawn from point D to point F.
Answers
The position of G in the given line segment is at point 1, which is between points F and D and the line segment between F and D in the ratio 8:5.
What is meant by line segment?
Two unique points on a line define the boundaries of a line segment. A line segment is a section of the path a line takes to join two locations. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction.
Given, the locations of D and F on the line segment.
D = -4
F = 9
Number of units between F and D = 9 - (-4) = 13
Point G partitions the line segment from F to D in the ratio 8:5.
So distance of G from F = [8/(8+5)] * 13 = 8
Distance of G from D = [5/(8+5)] * 13 = 5
So from F, it is 8 units behind F = 9 - 8 = 1
from D, it is 5 units in front of D = -4 + 5 = 1
Therefore the position of G in the given line segment is at point 1.
To learn more about line segments, follow the link.
https://brainly.com/question/280216
#SPJ1
What is the exact measure of an angle whose measure is 18° in radians?
pi over 18
18π
pi over 10
pi over 5
Answers
The exact measure of an angle whose measure is 18° in radians is; pi over 10.
What is the radian measure of 18°?Recall, it follows from angle measurements that;
π radians ==== 180°
Hence, it follows from proportion that the measure of 18° in radians, x can be determined as follows;
x = 18 π radians / 180
x = π / 10 radians.
Ultimately, the required measure of 18° in radians as required is; π / 10.
Read more on radians measure;
https://brainly.com/question/2032409
#SPJ1
Rewrite the equation in Ax+By=C form
y-6=5(x+2)
Answers
y-6=5(x+2), distribute the 5 into the parenthesis
=> y-6=5x+10, add the value of 6 to both sides
=> y=5x+16, subtract the value 5x from both sides
=> y-5x=16, thus we are in the form Ax+By=C
Machine Trades A machinist estimates the following times for fabricating a certain part: 0.6 hour for setup, 2.4 hours of turning, 5.2 hours of milling, 1.4 hours of grinding, and 1.8 hours of drilling. What is the total time needed to make the part?
Answers
Using addition we can conclude that the total time taken for the setup of the machine would be 11.4 hours.
What is addiction?One of the four fundamental operations in mathematics is addition, along with subtraction, multiplication, and division.
The entire amount or sum of the two whole numbers is obtained by adding them.
The process of addition involves combining two or more numbers to determine their sum.
Mathematicians utilize addition as their main arithmetic operation to determine the sum of two or more numbers.
For instance, 7 + 7 equals 14.
So, we can get the total time using addition as follows:
= 0.6 + 2.4 + 5.2 + 1.4 + 1.8
= 11.4 hours
Therefore, using addition we can conclude that the total time taken for the setup of the machine would be 11.4 hours.
Know more about addition here:
https://brainly.com/question/24536701
#SPJ1
1 out of 3 adults has worked in the restaurant industry at some point during his or her life. In an office of 81 workers, how many of these people would you expect to have worked in the restaurant industry at some point?
Answers
Answer:
Step-by-step explanation:
(1/3) x 81=27 people
Need help I’m stuck on this question
Answers
Answer:
range = 33
Step-by-step explanation:
the range of a data set is the difference between the largest and smallest values in the set.
largest value = 163 and smallest value = 130 ( from diagram ), then
range = 163 - 130 = 33
Sheldon wants to buy two shirts at the store.
They were each originally $14.99, but one of the shirts is on sale this week for 10% off.
A 6% sales tax is applied to the total cost of the shirts.
Sheldon writes an equation to calculate the total cost, n, of his purchase.
0.90 • 14.99 + 14.99 • 1.06 = n
Which statement describes Sheldon’s equation?
Responses
His equation correctly represents the total cost of his order.
According to his equation, the discount will be applied to both shirts.
According to his equation, sales tax will only be added to one shirt.
He should have multiplied the cost of the shirts by 0.0 to calculate tax.
Answers
His equation correctly represents the total cost of his order is the statement describes Sheldon’s equation
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Sheldon wants to buy two shirts at the store.
They were each originally $14.99, but one of the shirts is on sale this week for 10% off.
A 6% sales tax is applied to the total cost of the shirts.
0.90 • 14.99 + 14.99 • 1.06 = n
The first term in the equation, 0.90 • 14.99, represents the cost of the shirt that is on sale.
The 10% discount is applied to the original price of $14.99, which is why we multiply by 0.90.
This term calculates the discounted price of the first shirt.
The second term in the equation, 14.99 • 1.06, represents the cost of the second shirt, plus the 6% sales tax that is applied to both shirts.
This term calculates the total cost of the second shirt with sales tax.
Hence, His equation correctly represents the total cost of his order is the statement describes Sheldon’s equation
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ9
3
Select the correct answer.
Exponential function fis represented by the table.
X -1 0 1 2 3 4
f(x) 80 26 8 2 0 -2/3
Function g is an exponential function passing through the points (0,7) and (3,0).
Which statement correctly compares the two functions on the interval (0, 3)?
A) Both functions are positive and increasing on the interval.
B) Both functions are positive and decreasing on the interval.
C) Both functions are positive on the interval, but one function is increasing while the other is decreasing.
D) One function is positive on the interval, while the other is negative.
Answers
Option A: Both functions are positive and decreasing on the interval.
How to determine the function?The table shows that f(x) decreases when x increases in the interval (0,7) and (0, 3)
All the values of f(x) are positive in the interval (0,3).
For the exponential function that passes through the points (0, 27) and (3, 0), we also see that f(x) is decreasing when x increases: when x goes from 0 to 3, f(x) goes from 27 to 0.
Also all the values of f(x) are positive in the interval.
Then, both functions are positive and decreasing in the interval.
Learn more about functions on https://brainly.com/question/12431044
#SPJ1
In planning for a new forest road to be used for tree harvesting, planners must select the location that will minimize tractor skidding distance. In order to estimate the true mean skidding distances along a new road in a European forest, skidding distances (in meters) were measured at 20 randomly selected road sites. The data are shown in the following table.
In planning for a new forest road to be used for t
a. Calculate the mean, variance, and standard deviation of this sample.
b. Estimate the true mean skidding distance of the road with a 95% confidence interval.
c. What assumptions are needed for your inference in (b) to be valid? How would you check them?
d. A logger working on the road claims that the mean skidding distance is at least 425 meters. Do you agree? Why?
Answers
The mean, variance, and standard deviation of this sample is 377.5, 7007.5 meters^2 and 83.7 metres respectively. The 95% confidence interval for the true mean skidding distance is (340.5, 414.5) meters. we find that the p-value for a t-statistic of -3.61 is less than 0.01.
To calculate the mean, variance, and standard deviation of this sample, we can use the following formulas:
Using the formulas, we get:
Mean = (365 + 350 + 380 + 400 + 395 + 375 + 385 + 380 + 390 + 370 + 360 + 370 + 380 + 370 + 400 + 385 + 375 + 385 + 380 + 375) / 20
= 377.5 meters
Variance = [(365-377.5)^2 + (350-377.5)^2 + (380-377.5)^2 + ... + (380-377.5)^2 + (375-377.5)^2] / (20-1)
= 7007.5 meters^2
Standard deviation = square root of variance = sqrt(7007.5) = 83.7 meters
Therefore, the mean skidding distance is 377.5 meters, the variance is 7007.5 meters^2, and the standard deviation is 83.7 meters.
To estimate the true mean skidding distance of the road with a 95% confidence interval, we can use the following formula:
Confidence interval = sample mean ± (t-value * (standard deviation / sqrt(sample size)))
Here, the sample mean is 377.5 meters, the standard deviation is 83.7 meters, and the sample size is 20. To find the t-value, we need to look it up in a t-distribution table with 19 degrees of freedom. From the table, we find that the t-value for a 95% confidence interval is 2.093.
substituting the values, we get:
Confidence interval = 377.5 ± (2.093 * (83.7 / sqrt(20)))
= 377.5 ± 37.0
Therefore, the 95% confidence interval for the true mean skidding distance is (340.5, 414.5) meters.
The assumptions needed for this inference to be valid are:
The sample is a random sample from the population of skidding distances along the road.
The skidding distances follow a normal distribution in the population.
The sample size is large enough (at least 30) or the population standard deviation is known.
To check these assumptions, we can use a normal probability plot to check for normality and calculate the sample size to see if it is large enough. We can also use previous studies or expert knowledge to check if the assumption of normality is reasonable.
To test the logger's claim that the mean skidding distance is at least 425 meters, we can perform a one-sample t-test. The null hypothesis is that the mean skidding distance is 425 meters, and the alternative hypothesis is that it is less than 425 meters.
Using the formula for the t-statistic, we get:
t = (sample mean - hypothesized mean) / (standard deviation / sqrt(sample size))
= (377.5 - 425) / (83.7 / sqrt(20))
= -3.61
From a t-distribution table with 19 degrees of freedom, we find that the p-value for a t-statistic of -3.61 is less than 0.01. Therefore, we reject the null hypothesis and can conclude that there is not enough evidence to support the logger's claim. Therefore, we do not agree with the logger's claim.
To know more about standard deviation:
https://brainly.com/question/23907081
#SPJ4
Sears is having a 35% off sale on all tires. Michelin tires sells for $125, find the Sales Price.
Answers
Answer:
You will pay 81.25
Step-by-step explanation:
If the cost is 35% off, you will need to pay 100% - 35% = 65%
125 * 65 %
125 *.65
81.25
You will pay 81.25
Need help with this maths vector question
Answers
Answer:
Step-by-step explanation:
(a) We can find the position vectors of the points L, M, and N by taking the average of the position vectors of the points they lie between.
The midpoint of AB is given by:
N = (A + B)/2 = (41 + (41 + 21))/2 = (41 + 62)/2 = 51.5i
The midpoint of AD is given by:
L = (A + D)/2 = (41 + 6k)/2 = 23i + 3k
The midpoint of BD is given by:
M = (B + D)/2 = (41 + 21 + 6k)/2 = 31i + 3.5k
Now, we can find the vector MN by subtracting the position vectors of M and N:
MN = M - N = (31i + 3.5k) - (51.5i) = -20.5i + 3.5k
The angle between the directions of MN and OB can be found using the dot product:
cos(θ) = (MN . OB) / (|MN| * |OB|)
where θ is the angle between the two vectors. We can find the dot product and the magnitudes of the vectors as follows:
MN . OB = -20.5i + 3.5k . 41i + 21j = -20.5 * 41 + 3.5 * 21 = -847.5
|MN| = √((-20.5)^2 + (3.5)^2) = 21
|OB| = √(41^2 + 21^2) = √(1764) = 42
Substituting these values into the formula for cos(θ), we get:
cos(θ) = (-847.5) / (21 * 42) = -0.5
The angle θ can be found from the cosine inverse:
θ = cos^-1(-0.5) = 120 degrees
So, the angle between the directions of MN and OB is 120 degrees.
(b) To find the value of p, we can use the intersection of the lines through P and B and the lines through C and L. Let's call the intersection point R.
The line through P and B can be represented as P + t(B - P) = R
where t is a scalar and R is the position vector of the intersection point. Similarly, the line through C and L can be represented as:
C + s(L - C) = R
where s is a scalar. Setting these two expressions equal to each other, we get:
P + t(B - P) = C + s(L - C)
Expanding and simplifying, we get:
P + t(41i + 21j + 6k) = 21i + 6s(23i + 3k)
Comparing the i, j, and k components, we get:
P + 41t = 21 + 6s * 23
t = (21 - P)/41
6s = (P - 21)/23
s = (P - 21)/138
Substituting s back into the equation for C + s(L - C), we get:
C + (P - 21)/138 * (L - C) = R
21i + 6k + (P - 21)/138 * (23i + 3k - 6k) = R
Expanding, we get:
21i + 6k + (23/138) * Pi + (3/138) * k = R
Comparing the i and k components, we get:
21 + (23/138) * P = Ri
6 + (3/138) * P = Rk
Solving for P, we get:
P = 138 * (Ri - 21)/23 = 138 * (Rk - 6)/3
So the value of p for which the line through P and B intersects the line through C and L is given by the above formula.
Suppose f(x)= 10x-4
Compute the following:
A.) f(x-2)+f(2x)
Answers
A.) f(x-2)+f(2x)
To find this expression, we can substitute the definition of f(x) into the expression and simplify:
f(x-2)+f(2x) = [10(x-2)-4] + [10(2x)-4]
= 10x - 20 - 4 + 20x - 4
= 30x - 28
Therefore, f(x-2)+f(2x) = 30x - 28.
Compute f(2a) - f(a) for any value of a ?Given f(x) = 10x - 4, we need to find f(2a) - f(a).
f(2a) = 10(2a) - 4 = 20a - 4
f(a) = 10a - 4
Therefore,
f(2a) - f(a) = (20a - 4) - (10a - 4)
= 10a
Answer: f(2a) - f(a) = 10a. This means that the difference between the function evaluated at 2a and a is simply 10 times a.
To know more about Function Evaluated visit:
https://brainly.com/question/12056604
#SPJ1
What is the quotient and remainder, written as partial fractions, of
15x²+52x +43
3x²+5x-8
Answers
The quotient and remainder, written as partial fractions, of 15x²+52x+43/3x²+5x-8 would be A/(3x + 8) + B/(x - 1) where A is -8/3 and B is 1.
What in mathematics is a partial fraction?
The fractions that are utilized to break down a rational expression are called partial fractions.
Any component of an algebraic expression that is divided into a sum of two or more rational expressions is referred to as a partial fraction.
15x²+ 52x + 43/3x²+5x-8
15x²+52x +43/3x² + ( 8 -3)x - 8
15x²+52x +43/3x² + 8x -3x - 8
15x²+52x +43/3x(x - 1) +8(x - 1 )
15x²+52x +43/(3x + 8)(x -1 )
A/(3x + 8) + B/(x - 1)
To find the value of A;
3x + 8 = 0
x = -8/3
To find the value of B;
x - 1 = 0
x = 1
Learn more about Partial fractions
brainly.com/question/30404141
#SPJ1
I need help answering this
Answers
Answer: god
Step-by-step explanation: god god god god god god god god
The
ages
of 5 women are
48, y, 52, 50 and (2y-5).
If their average is
47 years,
Find the age of the oldest woman
Answers
Given the information that the average of the ages of 5 women is 47 years and that their ages are 48, y, 52, 50, and (2y-5), we can set up the following equation:
(48 + y + 52 + 50 + 2y - 5) / 5 = 47
Expanding the equation and simplifying, we get:
5y = 244
y = 48.8
So the age of the woman whose age is represented by the variable y is 48.8 years.
The oldest woman is represented by the age of 52 years, which is the largest of all the ages.
Therefore, the age of the oldest woman is 52 years.
Jean bought a $1,980 snow thrower on an installment plan. The installment agreement included a 10% down payment and 18 monthly payments of $116 each.
Answers
Jean purchased a snow thrower for $1,980 using an installment plan that required a 10% down payment of $198 and 18 monthly payments of $116. This allowed Jean to spread out the cost of the snow thrower over time, avoiding a large upfront cost.
Jean recently purchased a snow thrower for $1,980 using an installment plan. To start, Jean had to make a down payment of 10% of the total purchase price, which was $198. This down payment allowed Jean to spread the remaining cost of the snow thrower across 18 monthly payments of $116 each. After making all 18 payments, Jean will have paid the full purchase price of $1,980. This installment plan option is an excellent way for Jean to get the snow thrower he needs while avoiding a large upfront cost and spreading the payments out over a period of time. With this installment plan, Jean can pay off the purchase of the snow thrower while still having money left over each month to cover other expenses.
Learn more about installment here:
https://brainly.com/question/30573632
#SPJ4
using addition and subtraction signs make 1 2 3 4 5 6 7 8 9 equal 30
Answers
The numbers can be arranged as follows
(1 - 1) + 2 - (3 + 4) + (5 + 6 + 7 + 8 + 9) = 30 How to solve the math questionThe math question is solved using the idea of PEMDAS which is an acronym for order of arrangement of mathematical operations as
the full meaning include
P - parenthesis
E - exponents
M - multiplication
D - division
A - addition
S - subtraction
Applying the sequence the to make the expression 1 2 3 4 5 6 7 8 9 equal to 30 using addition and subtraction signs:
(1 - 1) + 2 - (3 + 4) + (5 + 6 + 7 + 8 + 9) = 30
You can use parentheses to group the numbers and then add or subtract the groups to get the desired result.
Learn more about PEMDAS here:
https://brainly.com/question/29393553
#SPJ1
a positive angle less than 360 degrees that is coterminal with -305 is
Answers
The positive angle which is less than 360 degrees and is co-terminal with -305 as required is; 55°.
What is the positive angle co-terminal with -305°?It follows from the task content that the position angle which is co-terminal with -305° as required is to be determined.
Let the positive angle in discuss be; x.
Therefore, the angle x = 360 + (-305)
Consequently, it can be calculated as follows;
x = 360 - 305.
x = 55°
Hence, the required value of the positive co-terminal angle is; 55°.
Read more on co-terminal angles;
https://brainly.com/question/29434408
#SPJ1
What is the total surface area of the rectangular prism?
Answers
Answer:a rectangular prism has height 4m, length 6m & width 5m
thus the surface consist of two 4*6 vertical surfaces
two 4*5 vertical surfaces
& two 6*5 top & bottom surfaces
that is
2(4*6) = 48
2(4*5) = 40
2(6*5) = 60
total surface area = 48+40+60 = 148m²
Step-by-step explanation:
Use interval notation to write the intervals over which fis (a) increasing, (b) decreasing, and (c) constant.
Answers
f is increasing on (-infty, -4) and (2,infty) since that's where you'd be walking uphill.
f is never decreasing.
f is constant on (-4,2), since that's where it's completely flat.
To encourage bulk buying, a company reduces the list price of $2,000 per unit by nine cents times the number of units bought. Write a function statement for the company's revenue (R) from a particular distributor that buys x units
Answers
The company’s revenue (R) from a particular distributor that buys x units is R(x) = 8999.93x
What is algebra?Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.
Given:
original price = $9000 per unit.
let the number units bought be x
then amount= 9000x.
If the price reduces the list price by seven cents times the number of units bought .
7cents= 0.07 dollar
Then,
R(x) = 9000x - 0.07x
R(x) = 8999.93x
Hence, R(x) = 8999.93x.
Learn more about algebra here:
brainly.com/question/24875240
#SPJ1
PLEASEEE HELP —-> Step 1: Construct a circle through three points not on a line.
a) Points D, E, and F are not in a line. To construct a circle through points D, E, and F, begin by
drawing line segments DE and EF. Then construct the perpendicular bisectors of DE and EF, and
name the point of intersection of the perpendicular bisectors O. How do you know that point O
is the center of the circle that passes through the three points? (10 points)
Answers
Answer:
Step-by-step explanation:
To show that point O is the center of the circle that passes through points D, E, and F, we can use the property of perpendicular bisectors. The perpendicular bisectors of two chords of a circle bisect the chord and pass through the center of the circle. Since the perpendicular bisectors of DE and EF intersect at point O, it follows that O must be the center of the circle that passes through points D, E, and F.
This property can also be proven using the Pythagorean theorem. Let the radius of the circle be r and let the midpoints of DE and EF be M1 and M2, respectively. Then, OM1 = OM2 = r, and the distance between M1 and M2 is equal to the distance between D and F. By the Pythagorean theorem, the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse, so we have:
OM1^2 + (M1M2)^2 = r^2 + r^2 = 2r^2
Since OM1^2 + (M1M2)^2 is equal to 2r^2, it follows that the distance between M1 and M2 is equal to the diameter of the circle. This means that M1 and M2 are the midpoints of the diameter of the circle, so they must both lie on the circumference of the circle. This, in turn, means that O is the center of the circle that passes through points D, E, and F.
Graph this line:
y+4=3(x-6)
Click to select points on the graph.
104
-10 -8 -6
-4
-2
8
6
4
2
0
-2
4
6
-8
10
3
2
4
6
8
10
Answers
The solution is: (A) y+4=-3(x+6), is the equation of the line in point-slope form.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
The point-slope form of the equation of a line whose slope is m and passes through the point (x1,y1) is:
y-y1 = m (x-x1)
Given the point:
(x1,y1) = (-6, -4)
Slope, m= -3
x1 = -6,
y1 =-4
Substituting these values into: y-y1 = m (x-x1) , we obtain the point slope form of the equation:
we get,
y+4=-3(x+6)
The correct option is A.
To learn more on slope click:
brainly.com/question/3605446
#SPJ5
complete question:
The graph of a line has a slope of -3 and passes through the point (-6,-4).
What is the equation of the line in point-slope form?
Oy + 4 = -3(x + 6)
y + 6 = -3(x + 4)
y-4 = -3(x-6)
y-6 = -3(x – 4)
The original price of a pair of running shoes was $95.00. They were on sale at 25% off, but the marked price was $73.25. Is this the correct price? Explain.
Answers
No, the marked price of $73.25 is not correct.
To calculate the sale price, we start by multiplying the original price by the discount percentage:
$95.00 * 0.25 = $23.75
This means that the original price of $95.00 should be reduced by $23.75 to find the sale price:
$95.00 - $23.75 = $71.25
Since the marked price is $73.25, this means that the store made a mistake and overpriced the shoes by $2.00. The correct sale price should have been $71.25.
Upon enlisting in the Marine Corps. I was given the
)
opportunity to create a College Sovings fund for every
$1.00 I deposited the government would deposit
an additional $2.00 with a max of $100.00/month.
If I deposited the max each month how much money did I have
at the end of 5 years if I started with $100.00
Answers
Answer:
Step-by-step explanation:
Here's a step-by-step explanation of the solution:
Calculate the government deposit: For every $1.00 you deposit, the government deposits $2.00. So if you deposit the maximum of $100.00 each month, the government deposit would be $100.00 * $2.00 = $200.00.
Calculate the total deposit each month: The total deposit each month is the sum of your deposit and the government deposit, so it would be $100.00 + $200.00 = $300.00.
Calculate the number of months: You started with $100.00 and made the maximum deposit of $100.00 each month for 5 years. Five years is 5 * 12 = 60 months.
Calculate the total deposit over 5 years: Over 5 years, you made 60 deposits of $300.00 each, so the total deposit over 5 years would be 60 * $300.00 = $18,000.00.
Calculate the final balance: Adding the initial deposit of $100.00 to the total deposit over 5 years, the final balance in your account after 5 years would be $18,000.00 + $100.00 = $18,100.00.
So, at the end of 5 years, if you deposited the maximum of $100.00 each month into the College Savings fund, you would have $18,100.00 in your account.
a company must stretch a caple from the top of tower that is 25 cm high to a point 50 cm away from the base of the tower . what is the length of the caple ?
A/ 625
B/ 2500
C/ 3125
D/ 25√5
Answers
The length of the caple is √3125 cm. (option C)
What is the length of the caple?The caple and the tower would form a right triangle. The caple would be the hypotenuse. The tower would be the length and the distance from the base of the tower would be the base.
In order to determine the length of the caple, Pythagoras theorem would be used.
The Pythagoras theorem: a² + b² = c²
where:
a = lengthb = basec = hypotenusec² = 25² + 50 ²
c² = 625 + 2500
c² = 3125
c= √3125 cm
To learn more about Pythagoras theorem, please check: https://brainly.com/question/14580675
#SPJ1
The population of two different villages is modeled by the equations shown. Suppose y represents the population and x represents the number of years since 1980. What year(s) were the populations of both villages the same? What was the population of both villages in the year(s) they were the same?
Answers
Step-by-step explanation:
Hope it helps :) #CarryOnLearning
tell how the communative and associative properties of adddition can help you evsaluate the expression using mental math? 8+(-8-5)
Answers
Using commutative and associative properties of addition, the solution for given expression is -5.
What is commutative and associative property?
The associative and commutative characteristics are universal principles that apply to addition and multiplication. The associative property states that rearranging the numbers will get the same result, while the commutative property states that rearranging the numbers will yield the same result.
These properties tell that one can add in any order, the result will always be the same.
We are given an expression as 8+(-8-5).
So, in this instead of adding from left to right, we can see that the 8 + (-8) will be zero and only -5 will be left as an answer.
Hence, the solution for given expression is -5.
Learn more about commutative and associative property from given link
https://brainly.com/question/29882028
#SPJ1
After birth, a baby's weight increased at a steady rate for several weeks.
A linear model of this situation contains the values (1, 7.3) and (9, 9.7), where x represents the number of weeks, and y represents the baby's weight, in pounds.
Q.What was the baby's weight at birth?
A.0.3 of a pound
B.8 pounds
C.7.3 pounds
D.7 pounds
Answers
Answer:
The correct answer is D. 7 pounds.
Step-by-step explanation:
The weight of the baby when its born is 7 pounds.
PLEASE HURRY I REALLY NEED HELP WITH THIS PROBLEM
5. Suppose a poll is to be conducted in an elementary school by interviewing 50 students. Explain whether or not the following samples are representative of the students at the school. a. The first 50 students leaving the cafeteria. b. Fifty randomly chosen names from a computer-generated list of names of all students at the school. c. Ten students randomly chosen from each of the 5 areas of campus. d. Five students from 10 teachers' classes.
Answers
If a poll is to be conducted in an elementary school by interviewing 50 students, the following samples have been described as either representative or not representative as follows:
a. The first 50 students leaving the cafeteria. Not representative
b. Fifty randomly chosen names from a computer-generated list of names of all students at the school. Representative
c. Ten students randomly chosen from each of the 5 areas of campus. Representative
d. Five students from 10 teachers' classes. Representative
What is a representative sample?A representative sample is a small collection from a larger group from which any information obtained will be as good as the larger group. While choosing a representative sample, the researcher should take care not to zone the participants from a given section of the population. This will cause the information to be skewed and not objective.
Selecting 50 students leaving a cafeteria will not be representative because this might only represent a section of the school that will be giving their response based on a certain mood.
Learn more about a representative sample here:
https://brainly.com/question/30490266
#SPJ1
