The expected number of people out of 700 to order plain vanilla ice cream flavor is given as follows:
b. 224 people.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
Out of 3 x 50 = 150 people surveyed, 17 + 15 + 16 = 48 ordered plain vanilla ice cream, hence the probability of a person ordering plain vanilla ice cream flavor is given as follows:
p = 48/150
Then, out of 700 people, the expected number of people to order the plain vanilla flavor is given as follows:
700 x 48/150 = 224 people.
More can be learned about probability at https://brainly.com/question/24756209
#SPJ1
what is the combined length of all the buttons longer than 1 inch
please help tysm
The combined length of all the buttons longer than 1 inch is 2 3/8 inches.
How to calculate the fraction?It should be noted that from the information, we want to calculate the combined length of all the buttons longer than 1 inch.
This will be:
= 1 1/8 + 1 1/4
= 1 1/8 + 1 2/8
= 2 3/8 inches
Therefore, the combined length of all the buttons longer than 1 inch is 2 4/8 inches.
Learn more about fractions on:
brainly.com/question/17220365
#SPJ1
The quadrilaterals ABCD and PQRS are similar.
Find the length x of SP.
C
A.
10
a
4.8
R
3.6
S
x
P
Answer:
.
Step-by-step explanation:
for the following system of liner equation: x plus 2 y plus z equals negative 2 3 x plus 3 y minus 2 z equals 2 2 x plus y plus z equals 0 complete the row-echelon form matrix derived from the augmented matrix at the end of the gaussian elimination method. (if it is not a whole number, write the fraction form. for example, if the answer is 0.5, write 1/2) 1 2 1 -2 0 1 5/3 -8/3 0 0 1 -1
The following system of liner equation when converted into equivalent matrix gives us x =2, y = 3, z = -2.
Given that the augmented matrix is [AB] = \(\left[\begin{array}{cccc}1&2&2&4\\0&1&-3&9\\0&0&1&-2\end{array}\right]\)
Since p(A) = p(AB) = 3 = n = The number of variables
The system has unique solution
x + 2y + 2z = 4
y - 3z = 9
z = -2
y = 9 + 3z = 9 + 3(-2) = 3
x = 4-2y -2z
= 4 -2(3) -2(-2)
= 4 - 6 + 4
= 2
Therefore, the solution is x =2, y = 3, z = -2.
The abecedarian idea is to add multiples of one equation to the others in order to exclude a variable and to continue this process until only one variable is left. Once this final variable is determined, its value is substituted back into the other equations in order to estimate the remaining unknowns. This system, characterized by step ‐ by ‐ step elimination of the variables, is called Gaussian elimination.
Learn more about Matrix system:
https://brainly.com/question/29008919
#SPJ4
Complete question;
The augmented matrix of a system of equations has been transformed to an equivalent matrix in row-echelon form. Using x, y, and z as variables, write the system of equations corresponding to the following matrix. If the system is consistent, solve it.
left bracket Start 3 By 3 Matrix 1st Row 1st Column 1 2nd Column 2 3rd Column 2 2nd Row 1st Column 0 2nd Column 1 3rd Column negative 3 3rd Row 1st Column 0 2nd Column 0 3rd Column 1 EndMatrix Start 3 By 1 Table 1st Row 1st Column 4 2nd Row 1st Column 9 3rd Row 1st Column negative 2 EndTable right bracket
You will need 50% of a packet of pasta to make a meal for 4 people. How
many packets of pasta do you need to make a meal for 12 people?
Answer:
Step-by-step explanation:
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
In a right-angled triangle the ratio of the two smaller angles is 3:2. Find the sizes of each of the angles.
Answer:
36° , 54° , 90°
Step-by-step explanation:
since the triangle is right then one angle is 90°
the ratio of the smaller angles = 3 : 2 = 3x : 2x ( x is a multiplier )
the sum of the 3 angles in the triangle is 180° , that is
3x + 2x + 90 = 180
5x + 90 = 180 ( subtract 90 from both sides )
5x = 90 ( divide both sides by 5 )
x = 18
Then
3x = 3 × 18 = 54°
2x = 2 × 18 = 36°
the 3 angles measure 36° , 54° , 90°
A humanities professor assigns letter grades on a test according to the following scheme. A: Top 12% of scores B: Scores below the top 12% and above the bottom 62% C: Scores below the top 38% and above the bottom 19% D: Scores below the top 81% and above the bottom 9% F: Bottom 9% of scores Scores on the test are normally distributed with a mean of 77.5 and a standard deviation of 8.6. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.
Answer:
The minimum score required for an A grade is 88.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
\(\mu = 77.5, \sigma = 8.6\)
Find the minimum score required for an A grade.
This score is the 100 - 12 = 88th percentile, which is X when Z has a pvalue of 0.88. So X when Z = 1.175.
\(Z = \frac{X - \mu}{\sigma}\)
\(1.175 = \frac{X - 77.5}{8.6}\)
\(X - 77.5 = 8.6*1.175\)
\(X = 87.61\)
Rounding to the nearest whole number:
The minimum score required for an A grade is 88.
What is the slope-intercept form of the equation 6x-3y=18
Answer:
2
Step-by-step explanation:
Given,
6x-3y=18
or, -3y=18-6x
dividing by 3 into both sides and multiply by -1
we get,
y=2x-6
comparing above eq with linear equation y=mx+c
we get,
m=2 Ans.
Solve the triangle. Round your answers to the nearest tenth. 27 degrees
Sorry never mind! Got it! Can’t delete!
One angle measure provided (27 degrees), to determine the lengths of the sides or the measures of the other Angles.
The triangle, we need more information about the triangle, such as the lengths of the sides or the measures of other angles. The given information, "27 degrees," only specifies one angle of the triangle, but it is not sufficient to solve the triangle completely.
To solve a triangle, we typically need at least three pieces of information, which can include side lengths, angle measures, or a combination of both. With only one angle measure provided (27 degrees), we are unable to determine the lengths of the sides or the measures of the other angles.
To fully solve the triangle, we would need additional information such as the lengths of the sides or measures of at least two more angles. Without this additional information, it is not possible to provide a complete solution or determine the lengths of the sides or the measures of the other angles in the triangle.
To know more about Angles.
https://brainly.com/question/28293784
#SPJ11
An artist's canvas has sides measuring 3x + 5 and 2x + 1 inches.
What is the area of the canvas? Show all work.
The artist laid the canvas flat on the floor and poured some paint in the center. The paint flows at a rate of r(t) = 2t where t represents time in minutes and r represents how far the paint is spreading on the canvas. The area of the paint can be expressed as A[r(t)]= rur?. What is the area of the circle created by the paint?
If the artist wants the circle to be at least 300 in?, will it be that large in 5 minutes? Support your answer with your work.
The area of the circle created by the paint is given by the expression 4πt².
The area of the circle is 100π, which is approximately 314.16 in².
The circle will be at least 300 in² in 5 minutes. Yes.
To find the area of the canvas, we multiply the lengths of its sides:
Area = (3x + 5) × (2x + 1)
Expanding the expression:
Area = 6x² + 3x + 10x + 5
Combining like terms:
Area = 6x² + 13x + 5
The area of the canvas is given by the expression 6x² + 13x + 5.
Now, let's find the area of the circle created by the paint.
The area of a circle is given by the formula A = πr², where r represents the radius.
The radius is given by the spreading of paint, which is r(t) = 2t.
Substituting the value of r(t) into the formula, we have:
A[r(t)] = π(2t)²
Simplifying:
A[r(t)] = π(4t²)
A[r(t)] = 4πt²
Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.
Substitute t = 5 into the area formula:
A[r(5)] = 4π(5)²
A[r(5)] = 4π(25)
A[r(5)] = 100π
Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.
For similar questions on area of the circle
https://brainly.com/question/12269818
#SPJ8
couldddddddddd i have some help super fast?
Answer:
\(\textsf{a)} \quad P=-20(x-2)^2+3380\)
b) cost of ticket = $13
max profit = $3380
number of tickets sold = 260
Step-by-step explanation:
Profit equation: \(P=20(15-x)(11+x)\)
Part (a)Vertex form of quadratic equation: \(y=a(x-h)^2+k\)
(where (h, k) is the vertex and \(a\) is some constant)
First, write the given profit equation in standard form \(ax^2+bx+c\):
\(\begin{aligned}\implies P&=20(15-x)(11+x)\\& = 20(165+4x-x^2)\\& = -20x^2+80x+3300\end{aligned}\)
Factor -20 from the first two terms:
\(\implies P=-20(x^2-4x)+3300\)
Complete the square:
\(\implies P=-20(x^2-4x+4)+80+3300\)
\(\implies P=-20(x-2)^2+3380\)
Part (b)The vertex of the profit equation is (2, 3380).
Therefore, the cost of the ticket is when x = 2 ⇒ $11 + 2 = $13
The maximum profit is the y-value of the vertex: $3380
The number of tickets sold at this price is:
⇒ max profit ÷ ticket price
= 3380 ÷ 13
= 260
in a data set consisting of 30 positive integers, the minimum value is 13. the number 6 is added to the original set to create a set of 31 positive integers. which of the following measures must be 7 greater for the new data set than for the original data set?
a. The mean
b. The median
c. The range
d. The standard deviation
The mean, median, range, and standard deviation for the new data set must all be 7 greater than for the original data set.
The mean is the sum of all the values divided by the number of values. Adding the number 6 to the original data set of 30 positive integers increases the sum of all the values by 6, which means the mean for the new data set must be 7 greater than the mean for the original data set.
The formula for the mean is: Mean = (Sum of Values)/(Number of Values)
For the original data set: Mean = (Sum of Values)/30
For the new data set: Mean = (Sum of Values + 6)/31
Therefore, the mean for the new data set must be 7 greater than the mean for the original data set.
The median is the middle value in a set of data. Adding the number 6 to the original data set of 30 positive integers increases the total number of values to 31, which means the median is calculated differently for the new data set than the original data set. The median for the new data set must be 7 greater than the median for the original data set.
The formula for the median is: Median = (n+1)/2
For the original data set: Median = (30+1)/2 = 15.5
For the new data set: Median = (31+1)/2 = 16.5
Therefore, the median for the new data set must be 7 greater than the median for the original data set.
The range is calculated by subtracting the smallest value from the largest value in a data set. Adding the number 6 to the original data set of 30 positive integers increases the largest value by 6, which means the range for the new data set must be 7 greater than the range for the original data set.
The formula for the range is: Range = (Largest Value) - (Smallest Value)
For the original data set: Range = (Largest Value) - 13
For the new data set: Range = (Largest Value + 6) - 13
Therefore, the range for the new data set must be 7 greater than the range for the original data set.
The standard deviation is a measure of how spread out the values in a data set are. Adding the number 6 to the original data set of 30 positive integers increases the total number of values by 1, which means the standard deviation for the new data set must be 7 greater than the standard deviation for the original data set.
The formula for the standard deviation is: Standard Deviation = √ (Sum of (Values - Mean)2 / Number of Values)
For the original data set: Standard Deviation = √ (Sum of (Values - Mean)2 / 30)
For the new data set: Standard Deviation = √ (Sum of (Values - Mean)2 / 31)
Therefore, the standard deviation for the new data set must be 7 greater than the standard deviation for the original data set.
The mean, median, range, and standard deviation for the new data set must all be 7 greater than for the original data set
Learn more about standard deviation here:
https://brainly.com/question/23907081
#SPJ4
A rectangular plot of land measures .25 miles In width and .75 miles in length. Find the area of the plot in square feet
Answer:
1,875
Step-by-step explanation:
by the way next time use a calculator not in a mean way ^^
plz help i have 10 min to answer and if not i'm getting whooped
Answer:
x < 14
Step-by-step explanation:
When the circle is open that means it is not equal to and the line is going to the left so it is less than
PLease help, this is due tomorrow by 1 pm.
Note that the parameters of the graph a and graph b are given below.
Graph A - y=2(x-1)²
See graph attached.
Graph B - y = 1/2x² + 3
Vertex: The vertex of the function is (0, 3).
Axis of symmetry: The axis of symmetry is the vertical line passing through the vertex, which is x = 0.
Y-intercept: The y-intercept is the point where the graph intersects the y-axis. It is (0, 3).
Minimum or maximum: The coefficient of x² is positive, which means the parabola opens upwards, and therefore the function has a minimum value. The minimum value is 3.
Solutions: To find the solutions or roots of the quadratic equation, we need to set y or f(x) equal to zero and solve for x.
0 = 1/2 x² + 3
Subtracting 3 from both sides, we get:
-3 = 1/2 x²
Multiplying both sides by -2, we get:
6 = -x²
Taking the square root of both sides, we get:
x = ±√(-6)
Since the square root of a negative number is not a real number, the function has no real roots.
Minimum or maximum value: The minimum value of the function is 3.
Range: The range of the function is y ≥ 3, because the function has a minimum value of 3.
Domain: The domain of the function is all real numbers, because there are no restrictions on the values of x for which the function is defined.
Stretch/Shrink/Standard: The coefficient of x^2 is positive and less than 1, which means that the graph of the function is narrower than the graph of y = x². This is an example of a standard quadratic function that has been vertically compressed by a factor of 1/2.
See graph attached.
Learn more about graphs at:
https://brainly.com/question/17267403
#SPJ1
the the area of a rectangle with perimeter 40 cm and 75 cm square find the length and width of the rectangle
Answer: 15cm and 5cm
Step-by-step explanation:
A rectangle's area is the product of the length and width
Given length x and width y, 2x+2y = 40 and x*y = 75.
Verifying my answer:
2(15)+2(5) = 40
30+10 = 40
40 = 40
15*5 = 75
75= 75
This is a week late so I hope this helped.
The length and the width of the rectangle are 15cm and 5cm respectively
How to find the length and width of the rectangle?The given parameters are:
Area (A) = 75
Perimeter (P) = 40
The area of a rectangle is LW, while the perimeter is 2(L + W)
So, we have:
LW = 75
2(L + W) = 40
Divide by 2
L + W = 20
Make L the subject
L = 20 - W
Substitute L = 20 - W in LW = 75
(20 - W)W = 75
Expand
20W - W^2 = 75
Rewrite as:
W^2 - 20W + 75 = 0
Expand
W^2 - 15W - 5W + 75 = 0
Factorize
(W - 15)(W -5) = 0
Split
W - 15 = 0 or W - 5 = 0
Solve for W
W = 15 or W = 5
Recall that:
L= 20 - W
So, we have
L = 20 - 15 or L = 20 - 5
This gives
L = 5 or L = 15
Hence, the length and the width of the rectangle are 15cm and 5cm respectively
Read more about areas at:
https://brainly.com/question/11957651
#SPJ1
According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. (Round your answers to 4 decimal places where possible) a. Compute the probability that a randomly selected peanut M&M is not green. 0.850 b. Compute the probability that a randomly selected peanut M&M is green or red. c. Compute the probability that two randomly selected peanut M&M’s are both red. d. If you randomly select two peanut M&M’s, compute that probability that neither of them are red e. If you randomly select two peanut M&M’s, compute that probability that at least one of them is red.
Complete question
The complete question is shown on the first uploaded image
Answer:
a
\(y' = 0.85 \)
b
\(P(J) = 0.27 \)
c
\(P(R) = 0.0144 \)
d
\(P(R') = 0.7744 \)
e
\(P(Q) =0.2256 \)
Step-by-step explanation:
From the question we are told that
The proportion of M & M's that is brown is b = 0.12
The proportion of M & M's that is yellow is y = 0.15
The proportion of M & M's that is red is r = 0.12
The proportion of M & M's that is blue is b = 0.23
The proportion of M & M's that is orange is o = 0.23
The proportion of M & M's that is green is g = 0.15
Generally the probability that a random selected M&M is not yellow is
\(y' = 1-y\)
=> \(y' = 1-0.15\)
=> \(y' = 0.85 \)
Generally the probability that a randomly selected peanut M&M isgreen or red is mathematically represented as
\(P(J) = g + r \)
=> \(P(J) = 0.15 + 0.12 \)
=> \(P(J) = 0.27 \)
Generally the probability that two randomly selected peanut M&M’s are both red is mathematically represented as
\(P(R) = r^2\)
=> \(P(R) = 0.12^2\)
=> \(P(R) = 0.0144 \)
Generally if two two peanut M&M’s are selected the probability that neither of them are red is mathematically represented as
\(P(R') = (1 -r)^2\)
=> \(P(R') = (1 - 0.12)^2\)
=> \(P(R') = 0.7744 \)
Generally if two two peanut M&M’s are selected the probability that at least one of them is red is mathematically represented as
\(P(Q) = 1- P(R')\)
=> \(P(Q) = 1- 0.7744 \)
=> \(P(Q) =0.2256 \)
The price of an item has been reduced by 2.09 The original price was 99.15 What is the price now?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The current price of the item is 97.06
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Original price of an item = 99.15
The price has been reduced by 2.09.
The current price.
= 99.15 - 2.09
= 97.06
Thus,
The current price of the item is 97.06
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
1.
(03.03 MC)
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 11(1.01)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)
Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent? (4 points)
Answer:
sept one
Step-by-step explanation:
1) Solve and graph the inequalitiy x + 8 < - 3
2) Write a statement that repersent the number line below
the pet shelter, for every 7 dogs there are 5 cats. What is the ratio of dogs to cats?
a) The inequality equation is x < -11
b) The inequality equation is x < 7
c) The ratio of dogs to cats is 7 : 5
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
a)
Substituting the values in the equation , we get
x + 8 < -3 be equation (1)
On simplifying the equation , we get
Subtracting 8 on both sides of the equation , we get
x < -11
Therefore , the inequality is x < -11
b)
The inequality representing the number line is x < 7
c)
Let the ratio be represented as A
The number of dogs = 7
The number of cats = 5
The ratio of dogs to cats = number of dogs / number of cats
Substituting the values in the equation , we get
The ratio of dogs to cats = 7 / 5
Therefore , the ratio is 7 : 5
Hence , the inequality relation is solved
To learn more about inequality equations click :
https://brainly.com/question/11897796
#SPJ1
Solve for 2. Round to the nearest tenth, if necessary,
С
2.5
41
Answer:
3.8
Step-by-step explanation:
We can use sohcahtoa to solve this. First, we know that this triangle is a right triangle, as well as one angle and the opposite side to that angle. We are trying to find the hypotenuse.
Therefore, as sin takes opposite and hypotenuse into account, we can use that to get that sin(41°) = 2.5/x . Multiply both sides by x and divide both sides by sin(41°) to get x = 2.5/sin(41°) =3.8
How many solutions do the systems of equations have?
y =-1/3 x + 9
y =- 2/6x
the probability of rolling a 4 or an even number of the die is thrown 2 times. (6 sided dice)
The probability of rolling a 4 on a single throw of a fair 6-sided die is 1/6, since there is only one way to roll a 4 and there are 6 equally likely outcomes in total.
The probability of rolling an even number on a single throw of a fair 6-sided die is 3/6, or 1/2, since there are three even numbers (2, 4, and 6) out of six possible outcomes.
To find the probability of rolling a 4 or an even number on a single throw, we can add the probabilities of these two events:
P(4 or even) = P(4) + P(even) - P(4 and even)
where P(4 and even) is the probability of rolling a 4 and an even number on the same throw. Since there is only one outcome (rolling a 4), which is not even, this probability is 0.
Therefore:
P(4 or even) = P(4) + P(even) - P(4 and even)
= 1/6 + 1/2 - 0
= 2/3
So the probability of rolling a 4 or an even number on a single throw of a 6-sided die is 2/3.
If the die is thrown 2 times, the probability of rolling a 4 or an even number on both throws is the product of the probabilities of rolling a 4 or an even number on each throw:
P(4 or even on both throws) = P(4 or even) × P(4 or even)
= (2/3) × (2/3)
= 4/9
Therefore, the probability of rolling a 4 or an even number on both throws of a 6-sided die is 4/9.
I want you to find the answer
The value of length BC is 18.9
What is cosine rule?Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
Therefore,
c² = a² + b² - 2abcosC
To find the length BC we use cosine rule.
c² = 13² + 7² - 2(13)(7)cos140
c² = 218 - 182cos140
c² = 218-(-139.42)
c² = 218+139.2
c² = 357.2
c = √357.2
c = 18.9
Therefore, the length of BC is 18.9
learn more about cosine rule from
https://brainly.com/question/23720007
#SPJ1
In the triangle, the value of the side BC is 18.9cm to 1 decimal place
How to determine BC?The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
The cosine formula states that
c² = a² + b² - 2abcosC
To find the length BC we use cosine rule.
c² = 13² + 7² - 2(13)(7)cos140
c² = 218 - 182cos140
c² = 218-(-139.42)
c² = 218+139.2
c² = 357.2
c = √357.2
c = 18.9
In conclusion, the value of the length of BC is 18.9cm
Learn more about the cosine rule on https://brainly.com/question/28716982?
#SPJ1
Reason Hugo walksmile from his home to the library on
Monday. He walks mile from his home to the park on Tuesday.
• How much farther does he walk on Monday than on Tuesday?
• Is your answer reasonable? Explain.
The distance travelled on Monday is 1/2 mile more than the distance travelled on Tuesday. Yes, the answer is reasonable, the difference between the two numbers indicates the remaining distance.
What are fractions?In mathematics, a fraction is used to denote a portion or component of the total. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction.
Given that the distance travelled on Monday is 5/6 miles, and the distance travelled on Tuesday is 1/3 miles.
To find how much more distance is covered on Monday:
x= 5/6 - 1/3
x= 5/6 - 2/6
x= 3/6
x= 1/2
Hence, the distance travelled on Monday is 1/2 mile more than the distance travelled on Tuesday.
Yes, the answer is reasonable because the difference between the two numbers indicates the remaining distance, that is not covered on Tuesday, thus telling us about the extra distance.
Learn more about fraction here:
https://brainly.com/question/10354322
#SPJ1
How much simple interest does $5,000 earn in 4 years at an interest rate of 5%. Round to
the nearest cent.
Answer:
1000
Step-by-step explanation:
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
for such more question on linear function
https://brainly.com/question/9753782
#SPJ8
Please see my question in the attachment, thanks!
The limit of the function As x → - ∞, f(x) → 2.
What is the limit of a function?The limit of a function is the value the function tends to as the independent variable tends to a given value.
Given the graph of the function above, to find the limit of the function As x → -∞, f(x) →? We proceed as follows
Looking at the graph, we see that f(x) has a horizontal asymptote at y = 2. Now, we see that As x → -∞, f(x) approaches 2.
So, As x → - ∞, f(x) → 2.
Learn more about limit of a function here:
https://brainly.com/question/27449919
#SPJ1
solve for c.express your answer as a proper or improper fraction in simplest terms.
-7/3=2/3c-5/8
Answer:
c = -41/16
Step-by-step explanation:
You want to solve the 2-step linear equation -7/3=2/3c-5/8.
As isThe two steps for such an equation are ...
Step 1 - add the opposite of the constant on the side with the variable term.
-7/3 +5/8 = 2/3c -5/8 +5/8
-41/24 = 2/3c . . . . . . . . . . . . . simplify
Step 2 - multiply by the inverse of the coefficient of the variable.
(-41/24)(3/2) = (2/3c)(3/2)
-41/16 = c
Eliminate fractions first
Some folks like to solve equations like this by eliminating fractions as a first step. Here, that can be accomplished by multiplying the equation by 24 (the least common denominator).
(-7/3)(24) = (2/3c)(24) -(5/8)(24) . . . multiply the equation by 24
-56 = 16c -15 . . . . . . . simplify; fractions are gone
-41 = 16c . . . . . . . . . step 1, add the opposite of the unwanted constant
-41/16 = c . . . . . . . . step 2, divide by the coefficient of the variable
Solve for b
Y=1/3x+b
Answer:
(3xy - 1)/3x = b
Step-by-step explanation:
make b the subject of formula
then simply it
did you get it
Answer:
b=Y-x/3
Step-by-step explanation:
Solve for b by simplifying both sides of the equation, then isolating the variable.
have a great day and thx for your inquiry :)