Answer: The slope is -1
Step-by-step explanation:
When you are given a line on a graph all you need to do is pick two points on the line and calculate the change over both the x and y-axis.
Pick both points to be at a position on the line that is easy to read. IE the intersection between two grid lines. For this problem lets go with the first point at (0,1) and the second point at (1,0).
Now we want to calculate the change in rise (the y-component) and divide by the change in the run (the x-component). Point 1 has a y-component of 1 and point 2 has a y-component of 0.
1 - 0 = 1 = rise
Point 1 has an x-component of 0 and point 2 has an x-component of 1.
0 - 1 = -1 = run
rise/run = 1/-1
Slope = -1
for questions that require a numerical answer, you may be told to round your answer to a specified number of decimal places or you may be asked to provide an exact answer. when asked to provide an exact answer, you should enter repeating decimals in their fraction form and irrational numbers such as e^5, ln(4), or V2 in their symbolic form. consider the function f(x)= e^x +1/3x a. Find f(5), Give an exact answer b. Find f(11), Give your answer rounded to 3 decimal places
The value of f(5) is e^5 + 5/3, which is exactly 150.0798257693, and the value of f(11) is e^11 + 11/3, which is approximately 59877.808.
The function is f(x)= e^x + 1/3x
To find the value of f(5), put the value of x = 5 in the function f(x)= e^x + 1/3x. Which is equal to f(5) = e^5 + 5/3.
Similarly, to find the value of f(11), put the value of x = 11 in the function f(x)= e^x + 1/3x.
Which is equal to f(11) = e^11 + 11/3
f(11) = 59874.141715198 + 3.6666666667
f(11) = 59877.808381865
f(11) ≈ 59877.808
To know more about function, here
https://brainly.com/question/5975436
#SPJ4
the bases of an isosceles triangle are represented by (5x+10) and 50° ,find x
x=8
Explanation
An isosceles triangle therefore has both two equal sides and two equal angles
so, angle a= angle b
then, Let
a=5x+10
b=50
replace and solve
\(\begin{gathered} 5x+10=50 \\ \text{subtract 10 in both sides} \\ 5x+10-10=50-10 \\ 5x=40 \\ \text{divide both sides by 5} \\ \frac{5x}{5}=\frac{40}{5} \\ x=8 \end{gathered}\)so,the answer is
x=8
Please answer this question for me.
Answer:
Oslo
Berlin
Glasgow
London
Nice
Does 17 divide each of these numbers?
a)68 b) 84 c) 357 d) 1001
Hello !
68/17 = 4
=> yes for 68
84/17 = 4.941...
=> no for 84
357/17 = 21
=> yes for 357
1001/17 = 58.882...
=> no for 1001
⇒ m∠A + m∠B + m∠C = 180°
⇒ 25° + 25° + m∠C = 180°
⇒ 50° + m∠C = 180°
⇒ m∠C = 180° – 50°
⇒ m∠C = 130°
Answer:
130
Step-by-step explanation:
What is the sum of the numbers, written in scientific notation?
1.4 x 103 and 5.6 x 102
A. 1.96 x 2
B. 1.96 x 10^3
C. 1.96 x 4
D. 1.969 x 5
Answer: D) 1.969 x 5
Step-by-step explanation: Hope this help :D
What is the value of x when (f o g)(x) =-8
Answer:
I think the answer is 3.
Step-by-step explanation:
First make arrow diagram of function f and g.
Then show it as composite function of fog(x) in arrow diagram.
Then in range you find -8 whose domain as x is 3.
please help with this question
Find two square numbers that total 45
Which description is paired with its correct expression?
four less than the quotient of a number cubed and seven, increased by three; 4-2+3
five times the difference of a number squared and six; 5(6-n²)
nine more than the quotient of six and a number cubed, decreased by four; 8+²-4
9+
O twice the difference of nine and a number squared; 2(9-n²)
The correct pairings are:
a) Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3
b) Five times the difference of a number squared and six: 5(n² - 6)
c) Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4
d) O twice the difference of nine and a number squared: 2(9 - n²)
The correct pairings of descriptions and expressions are as follows:
Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3
This expression represents taking a number, cubing it, dividing the result by seven, subtracting four, and then adding three.
Five times the difference of a number squared and six: 5(n² - 6)
This expression represents taking a number, squaring it, subtracting six, and then multiplying the result by five.
Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4
This expression represents taking the cube of a number, dividing six by the cube, adding nine, and then subtracting four.
O twice the difference of nine and a number squared: 2(9 - n²)
This expression represents taking a number, squaring it, subtracting it from nine, and then multiplying the result by two.
For more questions on quotient
https://brainly.com/question/11418015
#SPJ8
Which list is in order from least to greatest?
A. 2/3, 29%, 1/4 , 0.06
B. 2/3, 1/4, 29%, 0.06
C. 0.06, 1/4, 29%, 2/3
D. 1/4, 2/3, 0.06, 29%
Answer:
c
Step-by-step explanation:
2/3 converts to 0.66666667, 66.67%
1/4 converts to 0.25 , 25%
0.06 converts to 6%
So the order from least to greatest would be 0.06 , 1/4 , 29% , 2/3
What is the first step in solving the equation: 9n = 72?
Answer:
82
Step-by-step explanation:
Simplify the complex fraction.
It's a lot of grouping like terms.
A restaurant produces 250 meals per day with five employees. After hiring an additional employee, the restaurant now produces 260 meals per day. Calculate the marginal product of labor
A.260
B. 10
C. 5/3
D. 2
The marginal product of labor from the restaurant producing meals is B. 10.
What is the marginal product?Marginal product is the change in output to the change in input. It can also be written as (Δy/Δx). Marginal product leads to change in the graph of the function. The gradual increase in production happens due to additional labor.
We know the marginal product is a change in output divided by a change in input.
In the given context output is no. of meals produced and input is no. of employees.
∴ The marginal product is,
= (260 - 250)/(6 - 5).
= 10/1.
= 10.
learn more about marginal product here :
https://brainly.com/question/13623353
#SPJ2
50 POINTS FIRST GOOD ANSWER GETS BRAINLIEST
Express f(x)=3+|2x-5| as a piecewise function WITHOUT using absolute value
Please give a detailed response not just answer to help me understand
Answer:
\(f(x)=3+|2x-5|=\left\{ \begin{array}{ll} 2x-2& \quad x \geq 5/2 \\ -2x+8 & \quad x < 5/2 \end{array} \right.\)
Step-by-step explanation:
We are given the function:
\(f(x)=3+|2x-5|\)
Remember that by the definition of absolute value:
\(\displaystyle |x|= \left\{ \begin{array}{ll} x & \quad x \geq 0 \\ - x & \quad x < 0 \end{array} \right.\)
Our absolute value is:
\(|2x-5|\)
First, we will find when it becomes 0. Set the equation equal to 0:
\(2x-5=0\)
Solve for x:
\(x=5/2\)
So, we can see that for all values greater than x = 5/2, 2x - 5 is positive.
For all values less than x = 5/2, 2x - 5 is negative.
Therefore (the positive case go above, and the negative case go below):
\(|2x-5|= \left\{ \begin{array}{ll} 2x-5 & \quad x \geq 5/2 \\ -(2x-5) & \quad x < 5/2 \end{array} \right.\)
Finally, we can add a three:
\(f(x)=3+|2x-5|=\left\{ \begin{array}{ll} 3+(2x-5) & \quad x \geq 5/2 \\ 3+(-(2x-5)) & \quad x < 5/2 \end{array} \right.\)
Simplify if desired:
\(f(x)=3+|2x-5|=\left\{ \begin{array}{ll} 2x-2& \quad x \geq 5/2 \\ -2x+8 & \quad x < 5/2 \end{array} \right.\)
18+ 4(28) use the properites of operations to evaluate this expressions?
The value of the expression 18 + 4(28) will be 130.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ 18 + 4(28)
Simplify the expression, then the value of the expression will be
⇒ 18 + 4 x (28)
⇒ 18 + 4 x 28
⇒ 18 + 112
⇒ 130
Thus, the value of the expression 18 + 4(28) will be 130.
More about the value of expression link is given below.
https://brainly.com/question/23671908
#SPJ1
A store manager wishes to investigate whether there is a relationship between the type of promotion offered and the number of customers who spend more than $30 on a purchase. Data will be gathered and placed into the two-way table below.
Customer Spending by Promotion Run
Customers Spending More than $30. Customers Spending $30 or Less.
$10 off $50
15% off
$5 off $25
Buy-1-Get-1 Half Off
Which statement best describes how the manager can check if there is an association between the two variables?
A. The manager must check relative frequencies by row because there are more than two different promotions.
B.The manager must check relative frequencies by column because there are more than two different promotions.
C. The manager cannot use relative frequencies to look for an association because there are more than two different promotions.
D. The manager should check both relative frequencies by row and by column to look for an association.
Answer:
the answer is d
Step-by-step explanation:
I took the test on edge
Answer:
D
Step-by-step explanation:
have a good day /night :)
the area of a triangle is 6 and 3/8 square yards. The height of the triangle is 2 and 1/2 yards. What is the length of the base of the triangle? pls help this is a important question
Solution:
Note that:
Area of triangle = 6 3/8 yd²Height of triangle = 2 1/2 Area of triangle = 1/2 x base x altitudeUse the formula to find the base of the triangle.
1/2 x base x altitude = 6 3/8 yd²=> 1/2 x base x 2 1/2 = 6 3/8 yd²=> 1/2 x base x 5/2 = 6 3/8 yd²=> 5/4 x base = 6 3/8 yd²=> base = 6 3/8 ÷ 5/4 yd=> base = 51/8 x 4/5 yd=> base = 51/2 x 1/5 yd=> base = 51/10 ydThe length of the base is 51/10 yards.
\(\large{|\underline{\mathtt{\red{G}\blue{i}\orange{v}\pink{e}\blue{n}\purple{}\green{}\red{↯}\blue{}\orange{}}}}\)
Area of triangle = 6 3/8 yards²Height of triangle = 2 1/2 yards\(\large{|\underline{\mathtt{\red{T}\blue{o}\orange{\:}\pink{F}\blue{i}\purple{n}\green{d}\red{↯}\blue{}\orange{}}}}\)
Base of triangle = ?\(\large\underline{\underline{\maltese{\blue{\pmb{\sf{\: Explanation :-}}}}}}\)
\( \boxed{\mathfrak{area = \frac{1}{2} \times base \times height}}\)
We are already given the values, Let's plug them and solve for x i.e base
\( \bf\: 6 \frac{3}{8} = \frac{1}{ \cancel2} \times x \times \cancel2 \frac{1}{2} \)
\( \bf \: 6\frac{3}{8} = x \times \frac{1}{2} \)
Convert the mixed number to an improper fraction
\( \bf \: \frac{51}{8} = \frac{1}{2} x\)
Multiply both sides of the equation by 2
\( \boxed{ \tt \: x = \frac{51}{4} }\)
➪ Therefore, The base of the triangle is 51/4 yards...~
at a small coffee shop, the distribution of the number of seconds it takes for a cashier to process an order is approximately normal with mean 276 seconds and standard deviation 38 seconds. which of the following is closest to the proportion of orders that are processed in less than 240 seconds? following is closest to the proportion of orders that are processed in less than 240 seconds?
А
0.17
B
0.25
0.36
D
083
E
0.95
As per the interpolation method, the proportion of orders that are processed in less than 240 seconds is 0.17
The interpolation method is defined as a method of deriving a simple function from the given discrete data set such that the function passes through the provided data points.
Here we have given that at a small coffee shop, the distribution of the number of seconds it takes for a cashier to process an order is approximately normal with mean 276 seconds and standard deviation 38 seconds.
And the proportion of orders that are processed in less than 240 seconds is calculated as,
Here we know that 1 standard deviation below mean = 16% = M - d
Then we apply the value on it, then we get,
=> 276 s - 38 s = 238 s
Here we know that the mean of distribution is,
=> 50% which is equal to 276 s
And the proportion less than 240 s is consider that x%, then by using the interpolation method it can be calculated as,
=> (240 - 238) / (276 - 238) = (x - 16) / (50 - 16)
When we simplify this one then we get,
=> 1/19 = x - 16 / 34
Which can be rewritten as,
=> 19(x - 16) = 34
=> 19x - 304 = 34
=> 19x = 338
=> x = 17.78%.
Therefore the closest to the proportion of orders that are processed in less than 240 seconds is 17% that is equal to the value of 0.17.
Hence the correct option is (A).
To know more about interpolation method here
https://brainly.com/question/23786607
#SPJ4
can someone pleasw helppppppp meee
Answer:
D. Modes are 2, 5, and 6
Step-by-step explanation:
The mode represents the most frequently occurring value in a data set. A data set may have more than one mode. It is one of the measures of central tendency..
The pet shop has 6,157 dog treats. They packed the treats into bags with 7 pieces in each bag. Any treats that did not fit into a bag of 7 were given to Groomer to use to reward animals getting bathed. How many bags of treats did they fill? How many treats were given to the groomer?
They filled bags that total 879 and the treats that did not fit are 4
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given here, total treats = 6157, and group them in bags with 7 each
now, we can write 6157 = 879×7+4
thus, on dividing 6157 by 7 we get the remainder as 4 and the quotient as 879
Hence, the bags of treats they filled is 879, and 4 treats were given to the groomer
Learn more about the quotient and remainders here:
https://brainly.com/question/17385796
#SPJ1
What is the reciprocal of 8 5/6
find the sum
13,131.2+138.13
Answer:
13269.33
Step-by-step explanation:
ܘ0
Show the colored part of these square as fraction
Given:
The square box.
To find:
The fraction of colored part of the square.
Solution:
From the given box it is clear that,
Total number of small squares = 100
Number of colored squares = 0
So, the fraction of colored part of the square is
\(\text{Fraction}=\dfrac{\text{Colored squares}}{\text{Total squares}}\)
\(\text{Fraction}=\dfrac{0}{100}\)
\(\text{Fraction}=0\)
Therefore, the fraction of colored part of the square is \(\dfrac{0}{100}=0\).
i do not wan t have to do this again so in return ill give brain to the the first answer correct and 5 stars and thanks
Refer to the table summarizing service times (seconds) of dinners at a fast food restaurant. How many individuals are included in the summary? Is it possible to identify the exact values of all of the original service times?
Time (sec) Frequency
60 to 119 7
120 to 179 24
180 to 239 14
240 to 299 1
300 to 359 4
Answer:
Based on the provided information, the table summarizes service times (in seconds) of dinners at a fast food restaurant. To determine the number of individuals included in the summary, we can sum up the frequencies listed in the table:
7 + 24 + 14 + 1 + 4 = 50
Therefore, there are 50 individuals included in the summary.
Regarding the exact values of all the original service times, it is not possible to determine them precisely based on the given information. The table only provides ranges of service times and their corresponding frequencies. We can determine the range within which each individual's service time falls, but we cannot determine the exact value within that range.
if you double a number and then add 36, you get 4 over 11 (4/11) of the original number,
what is the original number?
Answer:
The original number is -22
Step-by-step explanation:
We'll label our mystery number x.
2x + 36 = 4x/11
Multiply both sides by 11
4x = 22x + 396
Isolate x to one side (for this I subtract 4x from both sides, but you can also subtract 22x if you'd like)
0 = 18x + 396
Isolate x pt 2
18x = -396
Divide both sides by 18 to find your answer!
x = -22
Plug in to confirm
-44 + 36 = -88/11S
8 = 8
Healthy grains is planning a new design for its best-selling oatmeal. It has four containers to choose from
The question is incomplete:
Healthy Grains is planning a new design for its best-selling oatmeal. It has four containers to choose from. It costs the company $0.03 per cubic inch of oatmeal to fill a container. The company does not want the new container to cost more than $4.00 to fill. Which container should the company use? Use 3.14 for Pi.
Container A: A cylinder with height 7 inches and diameter 5 inches.
Container B: A cylinder with height 10 inches and B = 12.57 inches squared.
Container C: A cylinder with height 5.5 inches and radius 4 inches.
Container D: A cylinder with height 6 inches and radius 3 inches.
Answer:
Container B
Step-by-step explanation:
To find the answer you have to calculate the volume of each container and then, multiply that for $0.03 that is the cost per cubic inch to fill a container.
The formula to calculate the volume of a cylinder is:
V=πr^2h, where
r= radius
h= height
πr^2= base area
Container A:
The radius is half the diameter, so 5/2=2.5.
V= 3.14*(2.5^2)*7= 137.37
Cost= 137.37*0.03= 4.12
Container B:
12.57 inches is the base area, so:
V= 12.57*10= 125.7
Cost= 125.7*0.03= 3.77
Container C:
V= 3.14*(4^2)*5.5= 276.32
Cost= 276.32*0.03= 8.28
Container D:
V= 3.14*(3^2)*6
V= 169.56*0.03= 5.08
According to this, the answer is that the container that the company should use is container B because it costs less than $4.00 to fill.
why is it when you take a shower and you come out clean, how does the towel become dirty? This some real mathematics
okay. so, when you wash your hair, there is no way to get 100% of the shampoo/conditioner out of your hair, so the excess it rubbed onto the towel. Say you have no hair. The shower isn't germ-free, so even if you feel clean, the towel and yourself is still a harbor of germs, good and bad.
the following figure shows triangle abc with side lengths ab=10 bc=8 and ca=5 de is constructed parallel to ab and to originate at point d, the missing of ac
Answer:
Step-by-step explanation: