Price of Pears87What is the slope ofthe line?6[?]Price ($)No 003721Give your answer asa fraction in simplestform.1 2 3 4 5 6 7 8 9Number of Pears
![Price Of Pears87What Is The Slope Ofthe Line?6[?]Price ($)No 003721Give Your Answer Asa Fraction In Simplestform.1](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/lQbi5WNpsPByq6zt1VkbNP6vi7uM6SBy.jpeg)
Answers
SOLUTION
THe slope of a line is given by
\(\text{slope}=\frac{\text{changes in y}}{Changes\text{ in x}}\)Using the point given in the image
\((0,0)\text{ and (5,2)}\)We have
\(\text{Slope}=\frac{y_2-y_1}{x_2-x_1}\)Where
\(\begin{gathered} x_1=0,x_2=5 \\ y_1=0,y_2=2 \end{gathered}\)Then substitute into the formula, we have
\(\text{slope}=\frac{2-0}{5-0}=\frac{2}{5}\)Therefore, the slope of the line is 2/5
Related Questions
True or false: as the value of cosx decreases towards 0, the value of secx increases towards infinity
Answers
Answer:
True
Step-by-step explanation:
Oki and Stephen are making bags of trail mix to sell. Oki’s trail-mix recipe requires 3 cups of nuts and 3 cups of dried fruit per bag. Stephen’s trail-mix recipe requires 4 cup of nuts and 2 cups of dried fruit per bag. Together, they want to make as many bags of trail mix as possible. They have exactly 120 cups of nuts and 90 cups of dried fruit. Find the maximum number of bags of trail mix Oki and Stephen can make together.
A. write a system of inequalities
B. Graph and find coordinates of the vertices of the feasible region.
C. Find the maximum number of bags of trail mix oki and stehpen can make. How many of each type of recipe should they make to maximize the total number of bags
Answers
Answer: Oki should make 0 bags of her recipe, and Stephen should make 30 bags of his recipe.
For vertex (15,15):
3x + 4y = 120 --> 3(15) + 4(15) = 120 --> x = 15
3x + 2y = 90 --> 3(15) + 2y = 90 -->
Step-by-step explanation: A. To find the maximum number of bags of trail mix that Oki and Stephen can make together, we can use a system of inequalities to represent the constraints:
Let "x" be the number of bags of trail mix that Oki makes and "y" be the number of bags that Stephen makes. Then we have:
3x + 4y ≤ 120 (constraint on the number of cups of nuts)
3x + 2y ≤ 90 (constraint on the number of cups of dried fruit)
x ≥ 0 (non-negative constraint for Oki's bags)
y ≥ 0 (non-negative constraint for Stephen's bags)
B. To graph the feasible region, we can start by graphing the two constraint equations as lines:
3x + 4y = 120 (line A)
3x + 2y = 90 (line B)
We can find the x and y intercepts for each line:
For line A:
When x = 0, 4y = 120, y = 30 (y-intercept)
When y = 0, 3x = 120, x = 40 (x-intercept)
For line B:
When x = 0, 2y = 90, y = 45 (y-intercept)
When y = 0, 3x = 90, x = 30 (x-intercept)
Next, we can shade the region that satisfies all of the constraints. This region is below line A and to the left of line B, and is bounded by the x and y axes.
We can find the vertices of the feasible region by finding the intersection points of the two lines and the axes. These vertices are (0,0), (0,30), (15,15), and (30,0).
C. To find the maximum number of bags of trail mix that Oki and Stephen can make together, we need to evaluate the objective function at each vertex of the feasible region, and choose the vertex that maximizes the objective function.
The objective function is the total number of bags of trail mix:
z = x + y
Evaluating at the vertices:
Vertex (0,0): z = 0 + 0 = 0
Vertex (0,30): z = 0 + 30 = 30
Vertex (15,15): z = 15 + 15 = 30
Vertex (30,0): z = 30 + 0 = 30
The maximum value of the objective function occurs at vertices (0,30) and (15,15), where z = 30 bags of trail mix.
To determine how many of each type of recipe to make, we can substitute each vertex into the two constraint equations to find the corresponding values of x and y.
For vertex (0,30):
3x + 4y = 120 --> 3x + 4(30) = 120 --> 3x = -90 --> x = -30
3x + 2y = 90 --> 3(-30) + 2(30) = 90 --> y = 15
Therefore, Oki should make 0 bags of her recipe, and Stephen should make 30 bags of his recipe.
For vertex (15,15):
3x + 4y = 120 --> 3(15) + 4(15) = 120 --> x = 15
3x + 2y = 90 --> 3(15) + 2y = 90 -->
For his phone service, Shen pays a monthly fee of $16,and he pays an additional $0.05 per minute of use. The least he has been charged in a month is $73.45 . What are the possible numbers of minutes he has used his phone in a month? Use m for the number of minutes, and solve your inequality for m .
Answers
Since Shen pays $0.05 per minute and $16 each month, the cost is given by
\(0.05m+16\)where m denotes the number of minutes. Since the least he has been charged is $73.45, we can write
\(73.45\le0.05m+16\)and we need to find m from this inequality. Then, by subtracting 16 to both sides, we have
\(57.45\le0.05m\)and by dividing both sides by 0.05, we get
\(\begin{gathered} \frac{57.45}{0.05}\le m \\ or\text{ equivalently,} \\ m\ge\frac{57.45}{0.05} \end{gathered}\)Then, we have
\(m\ge1149\)What are the possible numbers of minutes he has used his phone in a month? Answer: at least 1149 minutes
In A container, there are red, blue and green balls. 3/11 of ball s are red There are 35 more blue balls than red balls. The remaining 90 balls are green. How many more blue balls than green balls are there? of the balls are red.
Answers
It is mentioned that there are 35 more blue balls than red balls. Therefore, the number of blue balls is 30 + 35 = 65.
The remaining balls are green, so the number of green balls is 110 - (30 + 65) = 15.
To find out how many more blue balls there are than green balls, we subtract the number of green balls from the number of blue balls: 65 - 15 = 50.
Therefore, there are 50 more blue balls than green balls.
The lengths of a particular snake are approximately normally distributed with a given mean Mu = 15 in. and standard deviation Sigma = 0.8 in. What percentage of the snakes are longer than 16.6 in.? 0.3% 2.5% 3.5% 5%
Answers
Using the normal distribution, it is found that 2.5% of the snakes are longer than 16.6 in.
Normal Probability DistributionIn a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are respectively, given by \(\mu = 15, \sigma = 0.8\).
The proportion of the snakes are longer than 16.6 in is 1 subtracted by the p-value of Z when X = 16.6, hence:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{16.6 - 15}{0.8}\)
\(Z = 2\)
\(Z = 2\) has a p-value of 0.975.
1 - 0.975 = 0.025 = 2.5% of the snakes are longer than 16.6 in.
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Answer:
D - 5%
Explanation:
The residuals for data set A and data set B were calculated and plotted on
separate residual plots. If the residuals for data set A form a pattern and the
residuals for data set B do not form a pattern, what can be concluded?
Answers
Answer:
The answer is A linear model is a good fit for data set b but not data set a
Step-by-step explanation:
It can be concluded that data set A is linear, and data set B is not linear.
What is regression line?A regression line is an estimate of the line that describes the true, but unknown, linear relationship between the two variables. If [Y] is the dependent variable and [X] is the independent variable, the [Y] on [X] regression line equation is represented as follows:[Y] = a + b[X] + ɛ
Given is that residuals for data set A and data set B were calculated and plotted on separate residual plots.
If the residuals for data set [A] form a pattern and the residuals for data set [B] do not form a pattern than it can be concluded that data set A is linear, and data set B is not linear.
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Please help i’m not smart
Answers
An equivalent ratio is a fraction that has the same value as another fraction, just simplified!
You obtain equivalent rations by multiplying with a common multiple across the top and bottom.
Lets start with 1/9 and use a multiple of 2.
Multiply 2 across the top number:
2 • 1 = 2
Now across the bottom:
2 • 9 = 18
Now combine:
2/18
2/18 is an equivalent ration o 1/9!
Now for 5/6, lets use a multiple of 5.
Across the top:
5 • 5 = 25
Across the bottom:
5 • 6 = 30
Now combine:
25/30
25/30 is an equivalent ratio to 5/6.
You can double check this by dividing by the same multiple you used across the top and bottom and seeing if you get the original fraction, and you should!
Hope this helps!
There are 140 students in the seventh grade, and 5% are in the Environmental Club.
How many students are in the Environmental Club?
Answers
Answer:
7 students.
Step-by-step explanation:
A trick for this is to find 10% of the students in the Environmental Club and then divide by 2.
10% of 140 is simple; just remove the 0 and you got 14.
Next, divide 14/2 to get 5%
14/2 = 7
7 students are apart of the Environmental Club
Find a polynomial P3 such that {po, P1, P2, P3} (see Ex- ercise 11) is an orthogonal basis for the subspace P3 of P4. Scale the polynomial p3 so that its vector of values is (-1,2,0, -2,1).
Answers
The equation of the polynomial P3 is p3(t) = 5/6t³− 17/6t
Equation:
In algebra, an equation consists of variable, number and constants.
Given,
Here we need to find the polynomial P3 such that {P0, P1, P2, P3} is an orthogonal basis for the subspace P3 of P4.
And the scale the polynomial p3 so that its vector of values is (-1,2,0, -2,1).
Here we know that the polynomial (before the scaling) p3 is just the difference between t³ and its orthogonal projection on the span of 1,t,t²−2.
Then we showed that the projection is , hence
p3(t) = t³− 17/5t
When here we have the scale this polynomial such that the vector of values at t=−2,−1,0,1,2 is (−1,2,0,−2,1).
Now, we need to find the scalar α, it can be written as,
=> α⋅p3(−2)=−1
=> α⋅p3(−1)=2
=> α⋅p3(0)=0
=> α⋅p3(1)=−2
=> α⋅p3(2)=1
Here from the 4-th equation we have the value of
=> α⋅(1- 17/5) = -2
=> α = 5/6
And it is easy to check that all the equations are satisfied with this α.
Therefore, the required polynomial p3 is
=> p3(t) = 5/6(t³− 17/5t)
=> p3(t) = 5/6t³− 17/6t
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Given f ( x ) = 7 x + 5 Solve f ( x ) = 19
Answers
Answer:
2
Step-by-step explanation:
Given
f ( x ) = 7 x + 5
f ( x ) = 19
Now
f(x) = 7x + 5
19 = 7x + 5
7x = 19 - 5
7x = 14
x = 14 / 7
x = 2
Hope it will help :)❤
Answer:
Step-by-step explanation:
7x + 5 = 19
7x = 14
x = 2
trapezoid has parallel sides with length 10 cm. and 15 cm. Give the area of the trapezoid.
Answers
Answer:
150
Step-by-step explanation:
Length times width you learned about that in elementary school every one has.
Answer:
150
Step-by-step explanation:
Limits of the form lim _h right arrow 0 f(x + h) - f(x)/h occur frequently in calculus. Evaluate this limit for the given value of x and function f. f(x) =x^2, x=-5 The value of the limit is .
Answers
As a result, the limit value is 0. This indicates that the derivative of the function f(x) = x² when x = -5 equals zero.
What is function?A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. A function is an equation that depicts the connection between an input x and an output y, with precisely one output for each input. Another name for input is domain, while another one for output is range.
Here,
The limit in question is a definition of the derivative of a function at a point. In this case, we want to evaluate the limit as h approaches 0 of the expression (f(x + h) - f(x)) / h, where f(x) = x² and x = -5.
Substituting the given values, we have:
lim _h right arrow 0 (x² + h²- x²) / h = lim _h right arrow 0 h² / h = lim _h right arrow 0 h = 0
So the value of the limit is 0. This means that the derivative of the function f(x) = x² at the point x = -5 is equal to 0.
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Question 8 of 9
Use a calculator to find the correlation coefficient of the data set.
х
у
2
15
6
13
7.
9
8
on 0
12 5
O A. -0.909
OB. 0.909
Ο Ο Ο
O C. 0.953
D. -0.953
Answers
Actual data table :
X __ y
2 15
6 13
7 9
8 8
12 5
Answer:
0.953
Step-by-step explanation:
The question isnt well formatted :
The actual data:
X __ y
2 15
6 13
7 9
8 8
12 5
Using a correlation Coefficient calculator, the correlation Coefficient obtained by fitting the data is 0.953 which depicts a strong linear correlation between the x and y variable. This shows that the value of y increases with a corresponding increase in x values and vice versa.
If we have a tv cabinet that is 64 inches long and 56 inches high, how large a tv could we put in the space (leave two inches on all sides for the edging of the tv)?
Answers
Answer:
60'' × 52'' or a 79.4'' TV
Step-by-step explanation:
Leaving a room of 2 inches on all sides means we subtract 4 inches from the height and length to find the maximum dimensions of the TV.
With this, we get 60'' × 52''. To find the diagonal length of the TV, use the Pythagorean Theorem which simply states the length of the diagonal is equal to the square root of the sum of the squared dimensions.
\(\sqrt{a^2+b^2} =c\)
\(\sqrt{60^2+52^2}=79.4\)
Therefore your TV can have a maximum size of 79.4 inches.
Which of the following lines is perpendicular to 3y=5x-1?
A. Y=5x+6
B. Y=5/3x-7
C. Y=3x-8
D. Y=-3/5x+9
Answers
Answer:
Step-by-step explanation:
D is
The given line should be divided by 3
3/3 y = 5/3 x - 1/3
y = 5/3 x - 1/3
So the line you are looking for has a slope of -1/(5/3) = - 3/5. In other words to be perpendicular the slopes have to multiply to - 1
5/3 * - 3/5 = - 1
That makes D the correct answer.
i need help on this question
Answers
Answer:
D. 13
Step-by-step explanation:
The first step in evaluating a piecewise function at a particular point is to find the piece that includes the point.
For x = 0, the relevant domain specification is x ≤ 0, the one applicable to the third piece. That piece of the function definition tells you ...
f(0) = 13
Find the values of variables.
y=
x=
Answers
Answer:
x = 40
y = 70
Step-by-step explanation:
The two base angles of the isosceles triangle are congruent. y° and the external angle 110° form a linear pair.
y° = 180° -110° = 70°
y = 70
__
The external angle 110° is equal to the sum of the remote interior angles x° and y°.
110 = x + y
x = 110 -y = 110 -70
x = 40
HELP EEEEEEEK….. please
Answers
Answer:
5
Step-by-step explanation:
If it is 18 roses for 90 dollars, what is one rose worth?
90 dollars/18 roses=5 dollar per rose
Two functions are defined as follows.
•f(x) = x2 – 2x – 1
•g(x) = 2x - 1
Determine a simplified expression to represent (f.g)(x). Use the on-screen keyboard to type the correct answer in the box.
(f•g)(x)=
PLEASE HELP, I HAVE LIMITED TIME!
Answers
The value of f(g(x)) is 4x² – 8x+ 2 .
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given:
f(x) = x² – 2x – 1
g(x) = 2x - 1
So, f(g(x))
=f(2x - 1)
=(2x-1)² – 2(2x-1) – 1
=4x² – 4x + 1 -4x + 2 -1
=4x² – 8x+ 2
hence, the value of f.g(x) is 4x² – 8x+ 2 .
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9 - 8x - 7 - 2x equals 4 solve for x
Answers
Answer:
x = -1/2
Step-by-step explanation:
Step 1: Write out equation
9 - 8x - 8 - 2x = 4
Step 2: Combine like terms (x)
9 - 10x - 8 = 4
Step 3: Combine like terms (constants)
-10x - 1 = 4
Step 4: Add 1 to both sides
-10x = 5
Step 5: Divide both sides by -10
x = -5/10
Step 6: Simplify
x = -1/2
The experimental probability that Diana will win a game is 3/8. If she plays the game 80 times, approximately how many times should she expect to win?
Answers
Answer:
She should win approximately 30 times.
Step-by-step explanation:
Since the probability of winning is 3/8, we multiply 3/8 with 80 to get 30.
PLSSSS HELPPP I WILL FIVE BRAINLY!!!!
Answers
Answer:
The first box : -4 the second one : 6
Step-by-step explanation:
subtract 7 from 3 for the first box, then add 10 to -4 for the second one.
Divide: 7 5/6 ÷ 2/3 need help
Answers
To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.
Step 1: Convert the mixed number to an improper fraction:
7 5/6 = (6 * 7 + 5) / 6 = 47/6
Step 2: Multiply the improper fraction by the reciprocal of the fraction:
47/6 ÷ 2/3 = 47/6 * 3/2
Step 3: Simplify the fraction if possible:
47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12
Step 4: Simplify the fraction further, if necessary:
141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4
Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.
Help Quickly! A truck needs 7 gallons of fuel to travel 56 miles. Can the truck travel 48 miles with 6 gallons of fuel? Explain.
Giving brainliest
Answers
Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.
Given that, a truck needs 7 gallons of fuel to travel 56 miles.
The truck travel 48 miles with 6 gallons of fuel.
Here, the proportion is
7:56::6:48
We know that, the proportion is product of extremes = product of means
7×48 = 56×6
336 = 336
Therefore, the correct answer is option B.
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138.867545518 to 4 decimal places.
Answers
Step-by-step explanation:
138 I guess I think. this is the answer.
Eric was attempting to construct a perpendicular bisector to the segment AB with a
compass and straight edge. Which of the below statements explains what Eric may
have done wrong?
Answers
Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB. Option C
Steps in constructing a perpendicular bisectorThe steps involved in constructing a perpendicular bisector are:
Draw a line segment XY of any appropriate length. Take a compass, and with X as the center and with more than half of the line segment XY as widthDraw arcs above and below the line segment.Repeat the same step with Y as the center.Label the points of intersection as 'P' and 'Q'Thus, Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB. Option C
The complete question
Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?
a. Eric should have started by putting the compass needle point at the midpoint of the segment AB.
b. On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.
c. Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.
d. Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.
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Which of these shapes will tessellate without leaving gaps? A. Hexagon B. Octagon C. Pentagon D. Circle
Answers
The shape that can tessellate without leaving gaps is the hexagon (option A).
The shapes that can tessellate without leaving gaps are shapes that can be repeated to completely cover a flat surface without any overlaps or gaps. Among the options provided, the shape that will tessellate without leaving gaps is the hexagon (option A).
A hexagon is a six-sided polygon with equal sides and angles. It is a regular polygon, which means all of its sides and angles are equal. A regular hexagon can be arranged and repeated in a pattern to fill a plane without any gaps or overlaps. Bees' honeycombs are a real-world example of hexagonal tessellation.
On the other hand, octagons (option B) and pentagons (option C) do not tessellate by themselves without gaps. While they can be used in combination with other shapes to create tessellations, they cannot tessellate on their own.
A circle (option D) cannot tessellate without leaving gaps. A circle is a curved shape, and it cannot form a repeating pattern that completely covers a flat surface without overlaps or gaps.
In summary, the shape that can tessellate without leaving gaps is the hexagon (option A).
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HELP ME PLEASE!!
What is the correct notation for a ray with endpoint C?
Answers
Answer: Ray - begins at an endpoint and extends infinitely in one direction. Opposite Rays - have same endpoint and extend in opposite directions.
Step-by-step explanation:
C is between A and B, with AC = x, and CB = x + 6, and AB = 24
please help i really need ittt!!!!!!!!!!!!!!!!!!!!!!!!!
A 2.5 m ramp is used to load a truck 1.0 m off of the ground. A man uses 600 N of force to load a box weighing 1200 N. What is the efficiency of the ramp? What is the mechanical advantage of the ramp?
Answers
Answer:
To find the efficiency of the ramp, we need to compare the work output to the work input. Work input is the force applied to the ramp multiplied by the distance over which the force is applied, and work output is the weight of the box multiplied by the distance it is lifted.
The force applied to the ramp is 600 N, and the distance over which it is applied is the length of the ramp, which is 2.5 m. So the work input is:
work input = force x distance = 600 N x 2.5 m = 1500 J
The weight of the box is 1200 N, and the distance it is lifted is 1.0 m (the height of the truck). So the work output is:
work output = weight x distance = 1200 N x 1.0 m = 1200 J
The efficiency of the ramp is the ratio of work output to work input:
efficiency = work output / work input = 1200 J / 1500 J = 0.8 = 80%
So the efficiency of the ramp is 80%.
To find the mechanical advantage of the ramp, we need to compare the output force to the input force. The output force is the weight of the box, which is 1200 N. The input force is the force applied to the ramp, which is 600 N.
So the mechanical advantage of the ramp is:
mechanical advantage = output force / input force = 1200 N / 600 N = 2
So the mechanical advantage of the ramp is 2.
Solve for N is this equation.
Answers
Answer:
\(n + (13 - 6) = 124\)
\(n+13-6=124\)
\(n+7=124\)
\(n+7-7=124-7\)
\(n=117\)