The equation of the line that passes through the point (-4,8) and has a slope of -1 is y = -x +4
What is the equation of a line?
A line's equation is a unified representation of all of the line's points. Any point on a line will satisfy the equation in its general version, which is of the type ax + by + c = 0. The slope of the line and a point on the line are the two essential elements needed to create the equation of a line.
Here, we have
point (-4,8) and slope = -1
If we have a non-vertical line that passes through any point(x₁, y₁) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
This is the required equation of a line in a point-slope form.
We know that Point-Slope Form:
y - y₁ = m(x- x₁)
Where x₁ - x coordinate and y₁ - y coordinate
m - slope
Point (-4,8)
Then Slope m = -1
Now the equation as;
y - 8 = -1(x+4)
y = -x -4+8
y = -x +4
Hence, the equation of the line that passes through the point (-4,8) and has a slope of -1 is; y = -x+4
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almost every american adult has this thing
Answer: omm
but I need this so
Step-by-step explanation:
Dr. Choi is studying the extent to which Asian American mothers enforce gender roles at home. She wants to ensure that her sample includes 50 first generation, 50 second generation, and 50 third generation immigrants. If Dr. Choi obtains her particular sample by putting flyers in the local Asian grocery store, which of the following sampling techniques is she using?
Group of answer choices
snowball sampling
purposive sampling
quota sampling
stratified random sampling
The sampling technique that Dr. Choi is using is given as follows:
Stratified random sampling.
What are the sampling techniques?The sampling techniques are described as follows:
A convenient sample is drawn from a conveniently available pool of options.A random sample is equivalent to placing all options into a hat and taking some of them.In a systematic sample, every kth element of the sample is taken.Cluster sampling divides population into groups, called clusters, and each element of the group is surveyed.Stratified sampling also divides the population into groups. However, an equal proportion of each group is surveyed.In this problem, the population is divided into three groups, listed as follows:
First generation immigrants.Second generation immigrants.Third generation immigrants.An equal amount of each group was sampled, hence a stratified sample was used.
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A safe-breaker is attempting to crack a safe with a 7-combination code. So far they have worked out that: the first digit is double the third digit the code is a palindrome (it reads the same if it is reversed) the fourth number is 7 the third number is one less than the sixth number the second number is 3 less than the fourth number.
The correct 7 digit combination safe-breaker code which is a palindrome is given by 6437346.
What is a Palindrome?A palindrome is a number that reads the same both forward and backward in mathematics. Examples of palindromes include 353, 787, and 2332.
The following straightforward procedure may be used to find other palindromes given any set of integers.
Start with any number in step one. Identify it as original number. Reverse the original number's digits.
Call the number whose numbers have been reversed in step two. The new number should be added to your original one.
Call the number discovered by combination of the new number with the test number.
Step 3: You're finished if the test number is a palindrome. If the test number is incorrect, use your original number instead and complete the previous procedures using your test number.
How to solve?
Let the seven-digit code be given by abcdefg. As it is palindrome therefore, a=g, b=f, c=e, and d=d. Also, first digit is double than third digit that is a=2c.
As per the question d=7, c=f-1 and,
b=7-3 = 4.
Since the number is palindrome so b=f. Therefore f=4.
Now, c=f-1 => c = 4-1 = 3, and c = e = 3.
Also, a=2c => a=6.
Thus, the numbers are a=6, b=4, c=3, d=7, e=3, f=4, g=6 and the combination is 6437346.
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There is a pot made of copper. Surface area of the pot is: SA=2πrh + πr². If the pot is 1 mm thick, how do I calculate how much copper is needed to make one such pot? I don't need the exact number, just the steps.
The volume of copper needed to make such pot is 20πrh + 10πr² [tex](cm)^{3}[/tex]
What is surface area?The surface area of a three-dimensional object is the total area of all its faces. In real-life we use the concept of surface areas of different objects when we want to wrap something, paint something, and eventually while building things to get the best possible design.
The quantity of copper she needs to make such pot is same as the volume of copper need for such pot.
Volume = surface Area x thickness
Surface area had beemn given as 2πrh + πr²
thickness as 1mm = 10cm
Volume = 10(2πrh + πr²)
volume = 20πrh + 10πr² [tex](cm)^{3}[/tex]
In conclusion, the quantity of copper needed for the pot is 20πrh + 10πr² [tex](cm)^{3}[/tex]
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What are the maximum dimensions of a rectangle with a perimeter of 12.
Answer:
3x3 should be the maximum dimensions of a rectangle with a perimeter of 12.
Consider the scatter plot, its line of best fit, and the corresponding residual plot of each data set. State whether a linear model is appropriate for the data and justify your answer.
Linear regression equation: y = 14.08x - 163.13, r = 0.9746
No, a linear model is not appropriate for the data because; the residual plot indicates that the residuals are far off the horizontal.
Is a linear model appropriate for the data given?It follows from the task content that it is required to determine if a linear model is appropriate for the given data.
By observation of the scatter plot and the line of best fit; it is evident that the residuals are large (meaning that actually values are far off the predicted values).
Conclusively, the residual plot is a confirmation of the inappropriateness of a linear model for the given data. This follows from the fact that the residuals are large as evident in the how far the residual plot points are to the horizontal.
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Louis can bake 60 muffins in 1 hour. A large company ordered 300 muffins. How many hours will it take for Louis to bake enough muffins to complete the order?
Group of answer choices
If the length of an rectangle is '' x-4 '' and the width is '' 3x-3 '' What would be the expression to represent the perimeter.
The expression that represents the perimeter of the rectangle is 8x - 14
What is a rectangle?A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length which makes it different from a square.
Length of rectangle(L) = x - 4
Width of rectangle(W) = 3x - 3
Perimeter of rectangle = 2(L + W)
L = x - 4, W = 3x - 3
Perimeter of rectangle = 2( x - 4 + 3x - 3)
Perimeter of rectangle = 2( 4x - 7) which is 8x - 14
In conclusion 8x - 14 is the expression for the perimeter of the rectangle
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A box of cereal states that there are 99 calories in a
3/4 cup serving. What is the unit rate for calories per cup? How many calories are there in 4 cups of the cereal?
The number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a box of cereal states that there are 99 calories in a 3/4 cup serving.
The number of calories per cup is calculated as,
3 / 4 cup = 99 calories'
1 cup = 99 x (4 / 3 )
1 cup = 132 calories
The number of calories for 4 cups of cereal,
1 cup = 132 calories
4 cup = 132 x 4 calories
4 cup = 528 calories
Therefore, the number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.
Therefore, the number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.
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30 plus 50 written as 2 factors
The expression 30 _ 50 can be written as 2 factors as: 5(6 + 10).
What is a Factor?A factor, in mathematics, can be described as an integer that is a divisor of another integer that will produce a value it can be multiplied with to can that same integer it divides.
For example, if m/n = a, and (m)(a) = n, then m and n are factors.
Given the expression, 30 + 50, we can write this expression as product of factors as shown below:
5 into 30 is 6
5 into 50 is 10.
Therefore:
5(6 + 10)
Therefore, the two factors of the expression, 30 + 50 are written as: 5(6 + 10).
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Before sending track and field athletes to the olympics, the u. S. Holds a qualifying meet. The lower dot plot shows the times (in seconds) of the 888 sprinters who competed in the final of the women's 100100100-meter dash at the 201220122012 olympic games. The upper dot plot shows the times (in seconds) of the top 888 sprinters at the u. S. Qualifying meet for that event.
The top 888 times from U.S. qualifiers were slower on average than the times in the Olympic final.
What is unitary method?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.
On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.
Consider your square as being composed of smaller unit squares.
The number of unit squares necessary to completely cover the surface area of a specific 2-D shape is used to calculate the area of a figure. Some typical units for measuring area are square cms, square feet, square inches, square meters, etc.
Draw unit squares with 1-centimeter sides in order to calculate the area of the square figures shown below. The shape will therefore be measured.
Hence, The top 888 times from U.S. qualifiers were slower on average than the times in the Olympic final.
and
The Olympic final times varied noticeably more than the times of the top 888 U.S. qualifiers
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Please help asap
I don't understand this.
The slope of parallel lien is 3/4
The slope of perpendicular line is -4/3.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
4y = 3x + 6
Writing the above equation in slope- intercept form
y = 3x / 4 + 6/4
y = 3x/4 + 3/2
So, the slope for parallel line same, m = 3/4
and, slope of perpendicular line is negative reciprocal of given line
So, m' = -4/3
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¿What is the answer the EG ?
Ques) What is the symbol (∑)?
This symbol is used to denote the sum of multiple numbers.
This symbol is generally put by an index that varies to encompass all terms that must be considered in the sum of all the numbers.
In order to calculate the arithmetic mean of a set of data, the first step is to add up (sum) all of the data values (x) and then divide the result by the number of values (n). Since ∑ is the symbol used to indicate that values are to be summed (see Sigma Notation) we obtain the following formula for the mean
Mean = ∑ x/n
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a 36 year old woman on chronic cyclosporine treatment for bilateral lung transplantation visits the emergency department complaining of extreme headache, nausea and vomiting. her exam is notable for bp 239/165, normal cardiac exam, bibasilar pulmonary rales, and 1 lower extremity edema. ekg showed asymmetric inverted t-waves in i, avl, and v4-6. in an effort to acutely control her blood pressure, which of the following is true?
The best treatment for this patient's acute blood pressure control is to administer an intravenous (IV) antihypertensive medication such as labetalol or nitroprusside. Additionally, it is important to assess for underlying causes of her elevated blood pressure such as infection, kidney disease, or heart failure.
What is blood pressure?
Blood pressure (BP) is indeed the force exerted by moving blood against blood vessel walls. The heart's action of trying to pump blood through the blood vessels is largely responsible for this pressure. The pressure in the major arteries is meant when the term "blood pressure" is used without qualification. Systolic pressure, or the highest pressure during one heartbeat, is typically expressed as the ratio of diastolic pressure, or the lowest pressure between two heartbeats, in blood pressure measurements. It is expressed as a millimetre of mercury (mmHg) just above atmospheric pressure in the immediate vicinity. Along with respiratory rate, pulse rate, oxygen levels, and body temperature, blood pressure is among the vital signs that medical professionals consider when assessing a patient's health.
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Help please help help please help help me
Answer:
calm down 5x = 40 x = 8
40+40+3y-8=180
3y=108
y = 36
can you help me in something please?
If the bag of fertilizer cost $11.75 what is the cost of nitrogen per pound?
Answer: 40 cents
Step-by-step explanation: Cost per lb of N in 1 ton of 28% UAN = $225 ÷ 560 lbs N = 40 cents per lb N.
Select the values that make the inequality h<3h<3 true. (Numbers written in order from least to greatest going across.) -5 -2 0 2 2.9 2.99 2.999 3 3.001 3.01 3.1 4 6 8 11
The values that make the inequality, h < 3h < 3, true are the values of h in the range 0 < h < 1. The values -5, -2, 0, 2, 2.9, 2.99, 2.999, 3, 3.001, 3.01, 3.1, 4, 6, 8, 11, are larger or smaller than the values make the inequality true.
What is an inequality in mathematics?An is a comparison between two expressions, using non equal expressions, such as ≥, >, ≠, <, or ≤ symbols.
The specified inequality is; h < 3·h < 3
When h < 3·h, we get;
h is a positive number larger than 0, such that we get;
When h < 0, 3·h < h
Therefore; h > 0
The inequality, 3·h < 3, indicates;
3·h < 3
h < 3/3 = 1
h < 1
Which indicates that we get;
0 < h < 1
Therefore, non of the values make the inequality, h < 3·h < 3
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Line d passes through points (6, 9) and (2, 4). Line e passes through points (5, 3) and
(10, 7). Are line d and line e parallel or perpendicular?
PLEASE HELP ASAP, WILL GIVE 10 POINTS, BRAINELST, 5 STAR, AND RATING!
Answer:
Neither
Step-by-step explanation:
Line d:
m = 4-9/2-6 = -5/-4 = 5/4
Line e:
m = 7-3/10-5 = 4/5
It would be neither because if it was perpendicular, one of the slopes' would have to be negative.
2. You flip a coin that has a heads side and a tails side.
a. What are the odds that the coin will land on heads the first time you flip it?
b. You have flipped the coin 50 coins. You have landed on heads 31 times and tails 19 times. What are the odds that the coin will land on tails on the next flip?
Answer:
a. 1/2 or 50% b. 1/2 or 50%
Step-by-step explanation:
a. 1/2 of 50%
Since theres 2 sides, and 1 head, it will be 1/2 outcomes so 1/2.
b. Stil 1/2 or 50%
The coin flips are not dependent, and they have 2 outcomes and 1 tails.
Stil 1/2
Please answer this ASAP.
The coordinates of point D on the given line that intercepts the y-axis are: (0, 15/2).
What are the Coordinates of the Y-intercept of a Line?The coordinates of the point where a line intercepts the y-axis are the coordinates of the y-intercept of the line.
In the image given, a line to intercept the y-axis at point D. Point D is the y-intercept of the line. The coordinates of point D are the coordinates of the y-intercept of the line.
Step 1: Find the slope of the line using the two points, (-6, 0) and (2, 10)
Slope (m) = change in y / change in x = (10 - 0) / (2 -(-6))
Slope (m) = 10/8
m = 5/4
Step 2: Find the y-intercept of the line by substituting (x, y) = (2, 10) and m = 5/4 into y = mx + b
10 = 5/4(2) + b
10 = 5/2 + b
10 - 5/2 = b
15/2 = b
b = 15/2
The coordinates of the y-intercept is (0, 15/2). Therefore, the coordinates of point D are (0, 15/2).
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7. Sally's Summer Punch recipe is a combination of lemonade and fruit punch: Sally uses 3 cups
of lemonade for every 4 cups of fruit punch. In order to make a batch for the Fourth of July
party, Sally uses 21 cups of lemonade. How many cups of fruit punch will Sally use?
LEMONADE |————————————|—>
3 CUPS
FRUIT PUNCH |———————————|—->
4 CUPS
The cups of fruit punch that Sally will use is 28 cups.
How many cups of fruit punch will Sally use?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B). This indicates that you're dividing information A by B.
In this situation, Sally's Summer Punch recipe is a combination of lemonade and fruit punch: Sally uses 3 cups of lemonade for every 4 cups of fruit punch.
When Sally uses 21 cups of lemonade, the cups of fruit punch she will use will be:
3/4 = 21/x
3x = 21 × 4
3x = 84
x = 84/3
x = 28
The cups is 28 cups.
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A line has a slope of 9 and includes the points (
–
5,
–
6) and (p,3). What is the value of p?
Answer:The value of p is -9.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)m=(p-3)/(9-6)m=(p-3)/3-4=(p-3)/3-4*3=p-3-12=p-3p=-12+3p=-9
In the figure below, k Il and m || n. Find the values of x and z.
A
Answer:
z = 36
x = 120
Step-by-step explanation:
#8 geometry questions.....help me please
This is an exterior angle because x and y=180.
now let us pretend those sides are z. Each side is equal.
So x=z
so z=y
now 180/3 is 60
so x or z is 60.
now we use exterior angle and now we do 180-60 is 120.
SO
X=60
Y=120
now we make sure by z times 2 should equal y and z=x and x=60 and 60 time 2 is 120 so it is correct.
Can someone please help me
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 expressions that are simplified are:
[tex]n^{4}[/tex]
[tex]\frac{1}{n^{-5}}[/tex]
[tex]\frac{1}{n^3}[/tex]
Options A, B, and E are the correct answer.
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,
[tex]n^{4}[/tex]
This is already simplified.
[tex]\frac{1}{n^{-5}}[/tex]
This is already simplified.
[tex]n^6 . n^{-8}[/tex]
= [tex]n^{6 - 8}[/tex]
= [tex]n^{-2}[/tex]
[tex]n^7 . p^8[/tex]
= [tex]n^{7 + 8}[/tex]
= [tex]n^{15}[/tex]
[tex]\frac{1}{n^3}[/tex]
This is already in simplified form.
Thus,
The expressions that are simplified are:
[tex]n^{4}[/tex]
[tex]\frac{1}{n^{-5}}[/tex]
[tex]\frac{1}{n^3}[/tex]
Options A, B, and E are the correct answer.
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Add these equations
-2x+4y= 17
3x-10y= -3
Answer:
x - 6y = 14
Step-by-step explanation:
Add the like terms (x's and y's and constants):
-2x+4y= 17
+ (3x-10y= -3)
x - 6y = 14
SOMEONE PLEASE HELP ME
Which is an equation for the line shown?
Answer:
x = 2
Step-by-step explanation:
If it is a vertical line, then is is x = something (the point where the line is). If it is a horizontal line, then it is y = something (the point where the line is).
Which function matches the graph?
A. f(x)=(x + 3)(x - 5)(x + 7)²(x - 2)²
B. f(x) = (x - 3)²(x + 5)²(x-7)(x + 2)
C. f(x) = (x - 3)(x + 5)(x - 7)²(x + 2)²
D. f(x) = (x - 3)²(x + 5)(x-7)(x + 2)²
E. f(x) = (x + 3)²(x - 5)(x-7)²(x + 2)
Answer:
Choice B
Step-by-step explanation:
The graph crosses the xy-plane at the following places for x:
x = -5
x = -2
x = 3
x = 7
Look at choice B.
Setting (x - 3)^2, (x + 5)^2, (x - 7) and (x + 2) to zero and solving for x leads to the crossing locations on the xy-plane as shown on the graph.
40 PIONTS FOR ANSWERING 2 Q'S, I WILL PICK BRIANLISET
my equation for Q 7: C=2.7m+1.95
8. For the Raleigh company write an equation in point-slope form to represent the amount charged, C, for m number of miles for the company in Raleigh, NC.
9. Write an equation in standard form to represent the amount charged, C, for m number of miles for the company in Raleigh.
8) An equation in point-slope form to represent the amount charged, C, for m number of miles for the company in Raleigh is; (C - 1.95)/(m) = 2.7
9) An equation in standard form to represent the amount charged, C, for m number of miles for the company in Raleigh is; m = (20C - 39)/54
What is the equation of the line in slope intercept form?The general formula for the equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
8. The formula for point slope form is;
y − y₁ = m(x − x₁)
The equation is a vertical line, so the slope is ∞
Thus, m = ∞
9. We are given the equation as;
C = 2.7m + 1.95
Multiply through by 100 to get:
2.7m * 100 + 1.95 *· 100 = C* 100
This gives us;
270m + 195 = 100C
Subtract 195 from both sides to get;
270m = 100C - 195
Divide both sides by 270 to get;
m = (20C - 39)/54
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7. A tour guide charges $28 to take four people on a tour. How much does the tour guide charge per person?
Answer: $7
Step-by-step explanation:
We know that $28 for four people.
So we take 28 divided by 4 and we get $7 per people
