The point slope form of the equation of the line that passes through the points (6, -9) and (7, 1) is y - 1 = 10(x - 7)
How to represent equation in point slope form?Linear equation can be represented in different form such as point slope form, slope intercept from, standard form and general form.
The line passes through the points (6, -9) and (7, 1). The point slope form can be represented as follows:
y - y₁ = m(x - x₁)
where
m = slopex₁ and y₁ are variablesTherefore, let's find the equation of the line that passes through the points (6, -9) and (7, 1).
Let's find the slope.
slope = m = 1 + 9 / 7 - 6
slope = 10 / 1
slope = 10
Therefore,
y - 1 = 10(x - 7)
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a(5-4) i need the full answer pls
Answer:
1a (or) a
Step-by-step explanation:
Given expression,
→ a(5 - 4)
Let's simplify the expression,
→ a(5 - 4)
→ a(1)
→ a × 1
→ 1a (or) a
Therefore, the answer is 1a.
Need help dragging the dot on the graph as well
The drag point point is shown on the graph.
What is drag point?
When a single point or the center of a circle is specified numerically, the point can be moved, and the mouse can be used to edit graphs (ex. translation of a parabola).
Consider, the given equation
[tex]g(x) = -\frac{5}{3} x-1[/tex]
We have to find the value of g(x) at x = 3.
So, plug x = 3 in the above equation.
[tex]g(3) = -\frac{5}{3}(3)-1\\ g(3)=-5-1\\g(3) = -6[/tex]
Therefore, the point is (3, -6).
We have to drag the point (3, -6) on the graph.
The drag point graph is attached below.
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a(b + c) help pls pls help
Answer:
ab + ac
Step-by-step explanation:
Given expression,
→ a(b + c)
Simplifying the expression,
→ a(b + c)
→ (a × b) + (a × c)
→ ab + ac
Hence, answer is ab + ac.
19. Jules and Lauren need to write an equation of a line that is perpendicular to: y - 2 = 1/(x-3). Jules writes the equation: y = -5x + 1 Lauren writes the equation: y = -5x + 7. Explain why both equations are correct.
I'm assuming your equation was:
[tex]y-2=\dfrac{1}{5}(x-3)[/tex]
Both Jules' line and Lauren's line have a slope of -5 or [tex]-\dfrac{5}{1}[/tex] and those two lines are parallel since they have the same slope.
Perpendicular lines have slopes that are opposite reciprocal values.
The opposite reciprocal of [tex]-\dfrac{5}{1}[/tex] is a positive [tex]\dfrac{1}{5}[/tex], which is why these two lines are perpendicular to the line at the top of my answer.
Ruben is baking desserts for a potluck. At least 31 servings of dessert will be required. For every batch of brownies he bakes, he will get 24 servings, and every pie will yield 7 servings.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
The inequality in standard form that describes the situation is 24x + 7y ≥ 31
Total number of required serving of dessert = 31
Number of serving he will get in every batch of brownies = 24 servings
Number of serving he will get in every batch of pie = 7 serving
Consider the number batch of brownies = x
Number of batch of pie = y
The inequality is the mathematical statement that shows the relationship between two expression with an inequality sign. The inequality will be less than, less than or equal, greater than, greater than or equal.
Then the inequality will be
24x + 7y ≥ 31
Hence, the inequality in standard form that describes the situation is 24x + 7y ≥ 31
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Find the surface area of a cylinder pls
The total surface area of the cylinder is 157 square feet.
Given the radius of the cylinder = 4 inches
height of the cylinder = 9 inches
Total surface area is calculated by the formula:
A = 2πr² + 2πh
A = 2 × 3.14 × 4² + 2 × 3.14 × 9
or, A = 157 square feet.
Therefore the total surface area of the cylinder is 157 square feet.
The surface area of a solid item is a measurement of the total volume that the surface of the thing occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more complicated than the definition of arc length for one-dimensional curves.
The definition of surface area for polyhedral (i.e., particles with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces. When smooth surfaces, like spheres, are represented as parametric surfaces, their surface area can be calculated.
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write the equation of the line that is parallel to y=-1/2x-3 and that will pass through the point (4,-1)
Parallel lines have the same slope.
y = -1/2 x -3 has a slope of -1/2, so the new line has the same slope.
This gives us: y = -1/2 x + b
To find b, substitute in the given point (4,-1):
-1 = -1/2 (4) + b
-1 = -2 + b
1 = b
The new line is y = -1/2 x + 1.
which of the following is an example of a nonprobability sample?
A. cluster sampling.
B. simple random sampling.
C. stratified random sampling.
D. judgment sampling
Judgement sampling is not a probability sampling technique
Probability SamplingProbability sampling is a technique in which the researcher chooses samples from a larger population using a method based on probability theory. For a participant to be considered as a probability sample, he/she must be selected using a random selection.
The most critical requirement of probability sampling is that everyone in your population has a known and equal chance of getting selected.
1. Simple random sampling, as the name suggests, is an entirely random method of selecting the sample. This sampling method is as easy as assigning numbers to the individuals (sample) and then randomly choosing from those numbers through an automated process. Finally, the numbers that are chosen are the members that are included in the sample.
2. Stratified random sampling involves a method where the researcher divides a more extensive population into smaller groups that usually don’t overlap but represent the entire population. While sampling, organize these groups and then draw a sample from each group separately.
3. Random cluster sampling is a way to select participants randomly that are spread out geographically. For example, if you wanted to choose 100 participants from the entire population of the U.S., it is likely impossible to get a complete list of everyone. Instead, the researcher randomly selects areas (i.e., cities or counties) and randomly selects from within those boundaries.
From the above explanation, cluster sampling, simple random sampling and stratified random sampling are types of probability sampling except for judgement sampling.
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The table shows a proportional relationship between x and y.
x 3.4 5.6 1.7
y 13.6 22.4 6.8
Which of the following correctly describes the graph of the relationship?
A line that goes through (0, 0) and (13.6, 3.4)
A line that goes through (0, 0) and (3.4, 13.6)
A line that goes through (3.4, 13.6) and (22.4, 5.6)
A line that goes through (13.6, 3.4) and (5.6, 22.4)
Answer:
(b) A line that goes through (0, 0) and (3.4, 13.6)
Step-by-step explanation:
You want a description of the line that describes the same proportional relationship as the points given in the table:
(x, y) = (3.4, 13.6), (5.6, 22.4), (1.7, 6.8)
Proportional relationThe graph of the relation will be a straight line through points with (x, y) values from the table. A graph of a proportional relation also goes through the point (0, 0).
Of the points listed in the answer choices, only (3.4, 13.6) and (5.6, 22.4) are ones that are given in the table. This eliminates all of the answer choices except the correct one:
A line that goes through (0, 0) and (3.4, 13.6).
PLEASE HELP ME ASAP DUE VERY SOON AND I HAVE NO CLUE :(((
Answer:
20-29 songs
Step-by-step explanation:
Artists with 20-29 songs had the highest total number of people in the crowd.
Find the number of ways of
arranging the letters of the
words DANGER, so that no vowel
occupies odd place.
Answer: 6 * 24 = 144 ways.
Step-by-step explanation:
Solution:
Given word => DANGER.
The condition is that vowels can't occupy odd places so, we will let them occupy even places.
A total number of arrangements will be = 6 * 24 = 144 ways.
Answer: 6x24 = 144 ways.
Cameron estimates that the math class will sell 200 calendars . What will that total income be?
Answer:
How much Is Cameron receiving from each calendar?
Step-by-step explanation:
Convert 176 pt to qt
Converting 176 Pints will give 88 Quarts
What is conversion?A conversion factor is a number used to change one set of units to another, by multiplying or dividing
What is a pint?The pint (symbol: pt.) is a unit of volume or capacity. One liquid pint is equal to 473.176473 milliliters (≈ 473 ml).
What is a Quart?The quart (abbreviation qt.) is an English unit of volume equal to a quarter gallon. It is divided into two pints or four cups.
To convert 176 Pints to the corresponding value in Quarts,
Multiply the quantity in Pints by 0.5 (conversion factor).
In this case we should multiply 176 Pints by 0.5 to get the equivalent result in Quarts:
176 Pints x 0.5 = 88 Quarts
Hence,176 Pints when converted is 88 Quarts.
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The graph of y=f(x) is graphed below. What is the end behavior of f(x)? Please need help, need by TONIGHT!!!
Step-by-step explanation:
if x→+∞, then y→-∞ [increasing];
if x→-∞, then y→+∞ [decreasing].
How many terms are in this expression? 5x + y - 3x - 8 + 2
Answer:
There are 3 terms
Step-by-step explanation:
Given expression,
→ 5x + y - 3x - 8 + 2
Let's simplify the expression,
→ 5x + y - 3x - 8 + 2
→ (5x - 3x) + y + (-8 + 2)
→ 2x + y - 6
The number of terms are,
→ 2x + y - 6
→ 3 terms (trinomial)
Hence, there are 3 terms.
Write the equation of the line that is perpendicular to the line below and passes through the point (4,-6) write your equation in point-slope form.
The required equation of the line is given as y = -4/3x - 2/3.
Given that,
The equation of the line that is perpendicular to the line below and passes through the point (4,-6).
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
Here,
The slope of the given line = 3/4
So the slope of the perpendicular line = -4/3
Now,
The perpendicular line passes from (4, -6)
The standard form of the equation,
y - y₁ = m [ x - x₁]
Substitute the value in the above expression,
y + 6 = -4/3[x - 4]
y = -4/3x + 16/3 - 6
y = -4/3x - 2/3
Thus, The required equation of the line is given as y = -4/3x - 2/3.
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Suppose that $2000 is initially invested in an account at a fixed interest rate, compounded continuously. Suppose also that, after four years, the amount of
money in the account is $2411. Find the interest rate per year.
Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$2411\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &4 \end{cases}[/tex]
[tex]2411=2000e^{\frac{r}{100}\cdot 4}\implies \cfrac{2411}{2000}= e^{\frac{r}{25}}\implies \log_e\left( \cfrac{2411}{2000} \right)=\log_e\left( e^{\frac{r}{25}} \right) \\\\\\ \log_e\left( \cfrac{2411}{2000} \right)=\cfrac{r}{25}\implies 25\cdot \ln\left( \cfrac{2411}{2000} \right)=r\implies \stackrel{\%}{4.67}\approx r[/tex]
A Question 1 (4 points) Retake question
What is the equation of the line that has a slope of 4 and a y-intercept of -7?
A) y = -7x + 4
OB) y = -7/4x
OC) 4x + 7y= 0
D) y = 4x - 7
Required equation of line in slope intercept form
y = 4x - 7
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = [tex]tan \theta[/tex]
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Slope of the line = 4
y - intercept of the line = -7
The line passes through (0. -7)
Equation of the required line
y - (-7) = 4(x - 0)
y + 7 = 4x
y = 4x - 7
Option D is correct
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Can you please help me out
Second graph is correctly shows the solution set for the inequality x >n
How did you graph the inequality's solution set?To graph the solution set of a two-variable inequality, draw the border first, either as a solid or dashed line depending on the inequality. Use a dashed line as the boundary in the case of a strict inequality. Use a solid line if the inequality is inclusive. Next, pick a test location that is not a border.To represent an inequality on a number line, such as x>3, first draw a circle around the number (e.g., 3). Fill in the circle if the sign also says equal to (or ). Leave the circle blank if the sign doesn't include equal to (> .To learn more about inequality refer to:
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Hurry please Lily does screen-printing. When she screen-prints T-shirts, each shirt takes 3 minutes to print. In addition, there is an initial set-up time of 15 minutes.
Write and equation that shows how the number of minutes required to screen-print a batch of shirts, y , depends on the number of shirts in the batch, X.
The number of minutes required to screen-print a batch of shirts is,
y = 3x + 15
From the question, we have
each shirt takes 3 minutes to print.
In addition, there is an initial set-up time of 15 minutes.
number of minutes required to screen-print a batch of shirts,
y = 3x + 15
Addition:
Combining two or more things is what is meant by addition. The process of computing the sum of two or more numbers is known as adding in mathematics. It's a fundamental mathematical operation that's used all the time in real life. When handling money, determining our food budget, or calculating the passage of time, we frequently use addition. When dealing with larger numbers, however, we separate the numbers into columns according to their corresponding place values, such as ones, tens, hundreds, thousands, and so on. For straightforward addition problems, one-digit numbers can be added.
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on the grid,draw the line with the equation x=-2
Answer: up and down line at -2
Step-by-step explanation: Desmos
Deymarius drank 2/3 of a quart of water. Wesley drank 1/6 of a quart of water. how many quarts of water did they drink all together?
Answer:
5/6 quarts of water
Step-by-step explanation:
2/3 same as 4/6. 4/6 + 1/6 = 5/6
what is.25 times .26
Answer:
25 x 26 = 650
0.25 x 0.26 = 0.065
Step-by-step explanation:
5)
What is the mean of 14, 7, 10 and 5?
Answer:
9
Step-by-step explanation:
mean is the same as average
To find the mean we add them all and divide by the amount of terms which in this case is 4
14+7+10+5
21+15
36
36/4
9
Hopes this helps please mark brainliest
please help!
Urgent!
Thank u!
The value of the height of the water at midday is 14 feet.
How to calculate height of the water?Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or its base and something above it. Height is used to describe everything that may be measured vertically, high or low.
Similarly, we will determine the height at other times during the day, at midday . we have the value $t=3$, so using the formula, we have
[tex]H(3)=10+4 \sin \left(\frac{\pi}{6} \cdot 3\right)=10+4 \cdot \sin \frac{\pi}{2}[/tex]
Taking into account that
[tex]\sin \frac{\pi}{2}=1[/tex]
we get the following:
H=10+4 [tex]\cdot \sin \frac{\pi}{2}=10+4 \cdot 1=14[/tex]
Thus, the value of the height of the water at midday . is 14 feet.
The value of the height of the water at midday is 14 feet.
How to calculate height of the water?Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or its base and something above it. Height is used to describe everything that may be measured vertically, high or low.
Similarly, we will determine the height at other times during the day, at midday. we have the value[tex]$\$ \mathrm{t}=3 \$$[/tex], so using the formula, we have [tex]$H(3)=10+4 \sin \left(\frac{\pi}{6} \cdot 3\right)=10+4 \cdot \sin \frac{\pi}{2}$[/tex]Taking into account that
[tex]$\sin \frac{\pi}{2}=1$[/tex]
we get the following:
[tex]$\mathrm{H}=10+4 \cdot \sin \frac{\pi}{2}=10+4 \cdot 1=14$[/tex]
Thus, the value of the height of the water at midday . is 14 feet.
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How many 9 in. × 9 in. tiles would be needed to cover a floor that is 288 square feet?
The number of tiles that would be required to cover a floor that is 288 square feet is 512.
According to the question,
We have the following information:
Area of the tile = 9*9 square inches
Area of the tile = 81 square inches
Area of the floor = 288 square feet
So, we will convert the area of the floor from square feet to square inches.
We know that 1 feet = 12 inches.
So, we have the following expression:
Area of the floor = (288*12*12) square inches
Area of the floor = 41,472 square inches
Number of tiles required to cover the floor = area of the floor/area of the tile
Number of tiles required to cover the floor = 41,472/81
Number of tiles required to cover the floor = 512
Hence, the number of tiles that would be required to cover a floor that is 288 square feet is 512.
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I need help asap thank you...
Answer:
Angles 2 and 4 are 107.
Angles 1 and 3 are 73
Step-by-step explanation:
Angle 4 is given. Angle 2 is the same because vertical angles are congruent.
Angles 1 and 3 are supplemental. They add up to 180 (180 - 107 = 73)
In a school, the ratio of books to computers is 3:7. If the school has 210 computers, how many books are In the school
Answer:
90 books
Step-by-step explanation:
B:C
3:7
X:210
210÷7=30
3*30=90
A store opens at 8am. From 8 until 10am customers arrive at a Poisson rate of four an hour. Between 10am and 12pm they arrive at a Poisson rate of eight an hour. From 12pm and 2pm the arrival rate increases steadily from eight per hour at 12pm to ten per hour at 2pm; and from 2 to 5pm the arrival rate drops steadily from ten per hour at 2pm to four per hour at 5pm. Determine the probability distribution of the number of customers that enter the store on a given day.
The probability distribution of the number of customers that enter the store on a given day is described as follows:
Poisson with a mean of 70 customers.
What is the Poisson distribution?In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number.[tex]\mu[/tex] is the mean in the given interval or range of values of the input parameter.A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:
8 customers from 8 am to 10 am.16 customers from 10 am to 12 pm.18 customers from 12 pm to 2 pm. (the average over the interval is of 9 an hour).28 customers from 2 pm to 5 pm.Hence the mean is of:
8 + 16 + 18 + 28 = 70 customers.
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ITS A SIMPLE 50 POINT QUESTION! PLEASE HELP!
is y = 4 a relation?
Answer:
Y=4 is a function
Step-by-step explanation:
And to me function is relation
Hope i got this right and have a great day :)
Answer: Yes
Step-by-step explanation:
Yes, y = 4, which is often written as f(x) = 4, is a function that means “take any input, and no matter what it is, produce an output of 4”.
