part b)what is the slope of the line the rest of the question is provided in the picture
Answers
We want to find the slope of the graph. The formula for calculating slope is expressed as
slope = (y2 - y1)/(x2 - x1)
where
y1 and y2 are the y coordinates of initial and final points on the line.
x1 and x2 are the x coordinates of initial and final points on the line.
Locating initial and final points on the line, we have
when x1 = 1, y1 = 2000
when x2 = 2, y2 = 3500
By substituting these values into the formula, we have
slope = (3500 - 2000)/(2 - 1) = 1500/1
Slope = 1500
The cost increases by $1500 for each ton of sugar being transported
Related Questions
Find the area and the circumference of a circle with diameter 8cmUse 3.14 for n , and do not round your answer
Answers
ANSWER:
Circumference of the circle is 25.12 centimeters
Area of the circle is 50.24 square centimeters
STEP-BY-STEP EXPLANATION:
We have that the formula for the circumference and the area are the following:
[tex]\begin{gathered} c=2\cdot\pi\cdot r \\ A=\pi\cdot r^2 \end{gathered}[/tex]The radius is equivalent to half the diameter, therefore, we replace:
[tex]\begin{gathered} r=\frac{d}{2}=\frac{8}{2}=4 \\ \text{ replacing} \\ c=2\cdot3.14\cdot4=25.12\text{ cm} \\ A=3.14\cdot4^2=50.24cm^2 \end{gathered}[/tex]the circumference of the circle is 25.12 cm and the area is equal to 50.24 square centimeters
The value of an industrial embroidery machine is decreasing according to the function defined byV(t) = 10,890(3)–0.21where tis the number of years since the machine was purchased. What does the y-intercept represent?OA. the value of the machine after 3 yearsB.the amount of time it takes for the value of the machine to reach zeroOC.the original value of the machineODthe rate at which the value of the machine depreciates21 Edimentum All rights reserved
Answers
Solution
We have the following expression:
[tex]V(t)=10890(3)^{-0.2t}[/tex]for this case the y intercept is given when t=0 so we have:
[tex]V(0)=10890(3)^{-0.2\cdot0}=10890[/tex]And this value represent the following:
C. the original value of the machine
Since thats the starting value without depreciation
Find the rational function which represents the graph. If you could help with both sections that would be amazing
Answers
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given points on the graph
[tex]\begin{gathered} \text{ Points are given in the form of }(x,y) \\ \therefore\text{ points are:} \\ (x_1,y_1)=(2,0) \\ (x_2,y_2)=(0,-2) \end{gathered}[/tex]STEP 2: Write the slope-intercept form of the equation of a line
[tex]\begin{gathered} y=mx+b \\ \text{where m is the slope and b is the y-intercept} \end{gathered}[/tex]STEP 3: Write the formula to get the equation of a line using two given points
[tex](y-y_1)=m(x-x_1)[/tex]STEP 4: We use the given points to get the slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]STEP 5: Substitute the given points into the formula in step 4 to get the slope
[tex]m=\frac{-2-0}{0-2}=\frac{-2}{-2}=1[/tex]STEP 6: Since we have a slope and two points, we use the formula in step 3 to get the function that represents the line
[tex]\begin{gathered} (y-y_1)=m(x-x_1) \\ U\sin g\text{ point }(2,0) \\ (y-0)=1(x-2) \\ y=1(x-2) \\ y=x-2 \end{gathered}[/tex]STEP 7: We get the rational function of the line using the given hole
[tex]\begin{gathered} \text{hole}=(5,3) \\ \text{equation of line }\Rightarrow y=x-2 \\ \\ To\text{ get the rational function, we write the function of each coordinate that makes it undefined} \\ (5,3)\Rightarrow x=5\Rightarrow x-5 \\ (5,3)\Rightarrow y=3\Rightarrow y-3 \\ We\text{ divide the equation of the line in step 6 by the expressions above} \\ \text{Hence, the rational function is given as:} \\ \frac{y}{y-3}=\frac{x-2}{x-5} \end{gathered}[/tex]Hence, the rational function representing the line with the given hole is:
[tex]\frac{y}{y-3}=\frac{x-2}{x-5}[/tex]Find the sum 12 1/9 + 10 2/3
Answers
Answer:
12 1/9 = 109/9
10 2/3 = 32/3
Step-by-step explanation:
109/9 +32/3
=205/9
.
91,375 ÷ 10 power of 5
9.1375
913.75
91.375
0.91375
Answers
Answer:
I'm not sure the right equation to used for this problem. can someone help me please.
Line A has a slope of −3 . Line B has a slope of 4. Line C has a slope of 2.
Which line is closest to being horizontal?
Line A
Line B
Line C
I don't know.
Answers
Line C is closest to being horizontal.
Given,
Line A has a slope of −3.
Line B has a slope of 4.
Line C has a slope of 2.
To find the which line is closest to being horizontal?
Now, According to the question:
Slope of line A (m1) = -3
Slope of line B (m2) = 4
Slope of line C (m3) = 2
Slope of horizontal line = 0
Closest to being horizontal is given by l m l
For line A = l-3 l = 3
For line B = l4l = 4
For line C = l2l = 2
As 2 is smaller it is closest to horizontal
Hence, Line C is closest to being horizontal.
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Evaluate 9yl – yº if y = – 8.-71-73- 2- 64
Answers
First of all, we need to rules to solve this:
[tex]\begin{gathered} a^0=1,a\ne0 \\ a^1=a,a\text{ any number} \end{gathered}[/tex]So, the equation to be evaluated can be reduced to:
[tex]\begin{gathered} y=-8\Rightarrow9y^1-y^0=9y-1 \\ \Rightarrow9y^1-y^0=9\cdot(-8)-1=-72-1=-73 \\ \Rightarrow9y^1-y^0=-73 \end{gathered}[/tex]Then, the answer is -73, the second option
Which law is used to come to the stated conclusion? If no conclusion can be drawn, answer "no conclusion". If Rae is the driver today then Maria is the driver tomorrow. Annis the driver today.
Answers
DEFINITIONS:
1) Law of Contrapositive: This law reverses the conclusion and the hypothesis of the inverse of the conditional statement. This is expressed as:
[tex]\begin{gathered} \text{Original Statement: If p, then q} \\ \text{Contrapositive Statement: If not q, then not p} \end{gathered}[/tex]2) Law of Detachment: This law states that if the conditional statement is true, and the hypothesis is true, then the conclusion is true as well. This is expressed as:
[tex]\begin{gathered} 1)\text{ If p, then q} \\ 2)\text{ p} \\ \text{Then},\text{ statement q is true} \end{gathered}[/tex]3) Law of Syllogism: This law is explained as:
[tex]\begin{gathered} 1)\text{ If p, then q} \\ 2)\text{ If q, then r} \\ \text{Then,} \\ 3)\text{ If p, then r is true} \end{gathered}[/tex]QUESTION:
The statements provided can be separated as shown below:
[tex]\begin{gathered} 1)\text{ p = Ray is the driver today} \\ 2)\text{ q = Maria is the driver tomorrow} \\ 3)\text{ r = Ann is the driver today} \end{gathered}[/tex]The question states that
[tex]\text{If p, then q}[/tex]and
[tex]r\text{ is true}[/tex]This conclusion cannot be proved using any of the rules above.
Therefore, no conclusion can be drawn on the truth of the statement.
help mee pleasee!!
thank you <3
Answers
An equation that models the number of people employed in some country as medical assistant in the last year x is y = 359 + 14.35x
In this question, we have been given the number of people employed in some country as medical assistant.
We need to write an equation that models the number of people employed in some country as medical assistant in the last year x.
the number of people employed in some country as medical assistant:
in 2004 = 359 thousand
and by 2014 this number is expected to be 560 thousand.
We find the rate of employment.
Consider (x1, y1) = (0, 359) and (x2, y2) = (14, 560)
m = (560 - 359)/(14 - 0)
m = 201/14
m = 14.35
We have been given the line must pass through points (0, 359) and (14, 560)
And, we get the y-intercept c = 359
with slope m = 14.35 and y-intercept c = 359, the equation of the line would be,
y = 14.35x + 359
Therefore, an equation that models the number of people employed in some country as medical assistant in the last year x is y = 359 + 14.35x
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use the volume of the given sphere to find x
Answers
umm ciao anyways.........................................
Robbie wants to plot the .four, five on a coordinate plane which statement describes how to plot this point starting from the origin
Answers
We were told in the question that Robbie wants to plot the point (4, 5) on a coordinate plane. we are to determine from the option the statement that describes how to plot it.
Plotting on a coordinate plane already gives us the idea of x and y axis which is the vertical and the horizontal.
We were given positive values for both points which implies that:
Since 4 is the x-axis and positive and 5 is y-axis and also positive. We can draw a statement that:
We move 4 units to the right and then 5 units up.
With this, the correct option is C.
In his first period, Mr. Mueller had 27 students in his virtual class after 5 students left the class. Whichequation can be used to find b, the number of students in his class before the 5 students left?5+b = 275b = 27b-5 =27b/5 = 27
Answers
she had 27 students after 5 students left her class.
Her present number of student = 27
Initial number of student before 5 left the class = 27 + 5 = 32
number of student in his class before the 5 student left can be represented as follows
where
b = number of student before 5 student left his class
b - 5 = 27
Evaluating RadicalsQuestion: Estimate the radical by identifying which two consecutive integers it falls in between.
Answers
Step 1
Given;
[tex]Estimate\text{ the radical by identifying which two consecutive integers it falls between}[/tex]Step 2
An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are; -1.43, 1 3/4, 3.14,0.09, and 5,643.1.
We know that the perfect squares between √11 are;
[tex]\begin{gathered} \sqrt{9}\text{ and }\sqrt{16} \\ \sqrt{9}=3 \\ \sqrt{16}=4 \\ \sqrt{11}=3.31662479 \end{gathered}[/tex]Hence, the answer will be;
[tex]\begin{gathered} \sqrt{11}\text{ is between the integers 3 and 4} \\ 3<\text{ }\sqrt{11}\text{ }<4 \end{gathered}[/tex]Use the four-step procedure for solving the following variation problem.The height that a ball bounces varies directly as the height from which it was dropped. A tennis ball dropped from 17 inches bounces 11.9 inches. From what height was the tennis ball dropped if it bounces 42 inches?The tennis ball needs to be dropped from the height of ?that it bounces 42 inches.(Type an integer or a decimal.)
Answers
If we drop a ball from 60 inches height it bounces 42 iches.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
The height that a ball bounces varies directly as the height from which it was dropped.
A tennis ball dropped from 17 inches bounces 11.9 inches.
We need to find from which height if we drop a ball bounces 42 iches.
Let us consider x as the unknown height
Let us form a equation by the given data
17/11.9=x/42
Apply cross multiplication
17×42=11.9x
714=11.9x
Divide both sides by 11.9
60=x
Hence if we drop a ball from 60 inches height it bounces 42 inches.
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- 10> - 11 1/5 means that - 11.33 is located to the left of- 7.40 on the number line.
Answers
On the number line, the numbers increase from left to right like that
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
Then -10.33 will come before -7.40 like that
-11, -10, -9, -8, -7, -6
since -11 is left -7, then -11.33 will be left -7.40
It is YES
5. Jenny has $65 in her checking account. She bought 9 equally priced DVDs and paid with acheck. Her new account balance is $32. How much was each DVD?
Answers
This implies that, the money spent on the 9 equally priced DVDs is:
[tex]\text{Money Spent on the 9 equally priced DVDs= 65 -32 =\$3}3[/tex]Therefore, the amount spent on each DVD is:
[tex]\frac{33}{9}=\text{ \$3.67}[/tex]Hence, each DVD costs $3.67
an article in a psychology journal journal claims that young students who play a musical instrument tend to have higher test scores on state math exams.
Answers
Please help us with this math problem so we can sleep to night
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
Jupiter's mass = 1.89 x 10^27 kg
Moon's mass = 7 x 10^22 kg
Step 02:
We must analyze the problem to find the solution.
[tex]\frac{j\text{ mass}}{m\text{ mass}}=\frac{1.89\cdot10^{27}}{7\cdot10^{22}}=0.27\cdot10^5[/tex]0.27x10^5 = 27000
The answer is:
The mass of Jupiter is 27,000 times the mass of the moon.
#4 Write an equation, in slope-intercept form, for a line that passes through (3, 4) and has a y-intercept of -8.
Answers
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{4})\hspace{10em} \stackrel{slope}{m} ~=~ - 8 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{- 8}(x-\stackrel{x_1}{3}) \\\\\\ y-4=-8x+24\implies {\Large \begin{array}{llll} y=-8x+28 \end{array}}[/tex]
An isosceles triangle has an angle that measures 102 degrees. What measures are possible for the other two angles ? Choose all that apply 75, 39, 18, 8
Answers
Answer:
39 °
Step-by-step explanation:
Isosceles means two angles , x, are =
x + x + 102 = 180 ( the sum of triangle angles always = 180)
2x = 78
x = 39 °
The function f(x) = 2 * (2) ^ x was replaced with f(x) + k resulting in the function graphed below
PLEASE HELP WILL MARK BEAINLY
Answers
Example:
f(x) = (x - 1)2, f(x) = 8x , f(x) = x2 - x , f(x) = 7. Summary: From the given functions, f(x) = 7 is the even function.
Evaluate the expression for x=3 and y=5:(3y - 6)/x
Answers
Let's evaluate the expression by applying the Substitution Method.
Let's substitute x = 3 and y = 6 to the expression:
[tex]\text{ }\frac{3y\text{ - 6}}{x}[/tex]We get,
[tex]\text{ }\frac{3y\text{ - 6}}{x}\text{ = }\frac{3(5)\text{ - 6}}{3}[/tex][tex]\text{ = }\frac{15\text{ - 6}}{3}\text{ = }\frac{9}{3}[/tex][tex]\text{ = }3[/tex]Therefore, the expression (3y - 6)/x at x = 3 and y = 5 will give you a value of 3.
fill in the blanks please
Answers
Answer:
2) Consecutive interior angles are supplementary.
5) Division Property of Equality
how many zeros does the product of 25^5 ×150^4 ×2008 ^3 end with?
Answers
Answer:
13 trailing zeros
Explanation:
Our goal is to rewrite the expression such that we have 10 as a factor. Then the power of 10 will give us the number of trailing zeros.
The product can be rewritten as
[tex](5^2)^5\cdot(2\cdot3\cdot25)^4\cdot(2^3\cdot251)^3[/tex]which can further be rewritten as
[tex]5^{10}\cdot(2^4)(3^4)(5^8)\cdot2^9\cdot251^3[/tex][tex]\Rightarrow2^{13}\cdot3^4\cdot5^{18}\cdot251^3[/tex][tex]10^{13}\cdot3^4\cdot5^6\cdot251^3[/tex]We see that by rewriting our expression 10 appears with a power of 13; therefore, the expression has 13 trailing zeros.
[please help!!!]
The manager of a pizza restaurant recorded the total number of pizzas delivered after x weeks in this table. Which statement is true?
A. There was an increase of 83.5 pizzas each week from week 4 to week 6.
B. There was an increase of 34.5 pizzas each week from week 4 to week 6.
C. There was an increase of 50 pizzas each week from week 4 to week 6.
D. There was an increase of 28 pizzas each week from week 4 to week 6.
Answers
Answer:
the answer is a
Step-by-step explanation:
to see which answer is true, we must find the average of the difference between weeks 4-6
356 - 278 = 78
445 - 356 = 89
Now, find the average
89 + 78 = 167
167/2 = 83.5
therefore, answer A is true
During a football match, 18 boys are grouped into 2 teams
How many boys are there in each team?
Answers
Raj worked 51 hours last week. He earns $ 14.02 per hour plus overtime, at theusual rate, for hours exceeding 40 hours. What is his gross pay? Round answer totwo decimal places. If answer does not have two decimal places then include zeroso that it does. For the units use a word not a symbol. Be sure to attach your workto this question in order to receive credit for your answer.Your Answer:units:
Answers
Given:
Raj worked 51 hours last week.
He earns $ 14.02 per hour
[tex]\begin{gathered} \text{Gross salary=14.02}\times51 \\ =\text{ \$715 .02} \end{gathered}[/tex]Gross salary is 715.02 dollar per week
BRAINLIEST (statistics) (please help fast)
As an introduction to probability, a student is asked to roll a fair, six-sided number cube seven times. The results of those seven rolls are shown below.
1, 4, 4, 4, 4, 6, 5
What is the IQR of the data?
1
1.53
2
5
Answers
Step-by-step explanation:
first find the median (middle value) of the lower and upper half of the data. these values are quartile 1 (Q1) and quartile 3 (Q3). the IQR is the difference between Q3 and Q1.
first sort the data low to high.
the median of the whole data set is 4.
1, 4, 4, 4, 4, 5, 6
the lower half is
1, 4, 4
the upper half is
4, 5, 6
the median of the lower half is 4
1, 4, 4
the median of the upper half is 5
4, 5, 6
the IQR is then
5 - 4 = 1
Answer:
A) 1Step-by-step explanation:
Given data:
1, 4, 4, 4, 4, 6, 5We need to find the IQR of data.
What is the IQR:
IQR is the difference of medians of upper and lower halves of the data.or
IQR = Q3 - Q1Find Q3 and Q1:
Q3 = 5, since upper half consists of 4, 5, 6.Q1 = 4, since lower half consists of 1, 4, 4.Find the IQR:
IGR = 5 - 4 = 1Correct choice is A
Which degree polynomials have ends that head off in opposite directions?Even degree polynomialsOdd degree polynomialsEven and odd degree polynomialsNone of the choices
Answers
Answer:
Odd degree polynomials
Explanation:
In order to determine what degree polynomials have ends that head off in opposite directions, recall the rules of the leading coefficient test.
When using the Leading coefficient test, the following rule applies:
• When the ,degree is odd, and the leading coefficient is positive, the graph ,falls to the left and rises to the right.
,• When the ,degree is odd, and the leading coefficient is negative, ,the graph rises to the left and falls to the right.
,• When the degree is even and the leading coefficient is positive, the graph rises to the left and right.
,• When the degree is even and the leading coefficient is negative, the graph falls to the left and right.
Thus, we see that when the degree of the polynomial is odd, the ends head off in opposite directions.
The second option is correct.
Which of the following expressions can be used to find PQ? A. 12 • sin 42°B. 12 • cos 42°C. 12/cos42°D. 12/sin42°
Answers
PQ is hypotenuse of the triangle
pR is the opposite side
so,
it will come like
sin 42=12/PQ
PQ=12/sin 42
so the answer is D
