Answer:
ok
Step-by-step explanation:
PLS HELPPP
identify the graph of the ellipse.
[tex]\frac{(x-3)^{2} }{16} +\frac{y-4^{2} }{9} =1[/tex]
The correct graph of the ellipse is identified and attached below.
Given the equation is (x₋3)²/16 ₊ (y₋4)²/9 = 1
step 1: identify the center (h,k) of the ellipse in standard form:
(x₋h)²/a² ₊ (y₋k)²/b² = 1
In the standard form of an ellipse, notice that there is a minus sign in front of the h and k.
In our equation (x₋3)²/16 ₊ (y₋4)²/9 = 1 , we have:
h = 3 and k = 4
Therefore, center (h,k) = (3,4)
Step 2: Identify the orientation by determining the major axis and minor axis in (x₋h)²/a² ₊ (y₋k)²/b² = 1
if a>b, the major axis is horizontal and the minor axis is vertical, making the ellipse a horizontal ellipse.
if a<b, the minor axis is horizontal and the major axis is vertical, making the ellipse a vertical ellipse.
For (x₋3)²/16 ₊ (y₋4)²/9 = 1
a² = 16, a = 4 and b² = 9 , b = 3
so, 4>3, the major axis is horizontal and the minor axis is vertical, making the ellipse a horizontal ellipse.
Step 3:
Plot the co-vertices along the minor axis and the vertices along the main axis (endpoints). No matter which way around, draw points a horizontal distance of a to the left and right from the center and points b above and below the center.
Therefore the vertices are marked along the major axis.
vertices are (3,7) and (3,1)
and co vertices are marked along the minor axis
co vertices are (₋1,4 ) and (7,4)
step 4: connect the vertices and co vertices making a smooth horizontal ellipse.
Hence a horizontal ellipse is made.
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The following are the amounts of radiation received at a greenhouse.
6.1 6.8 8.7 9.0 10.2 10.3 10.6 10.8 10.9 11.0 11.1 11.5 11.7 12.2 13.4
find the sample range.
The given data be 6.1, 6.8, 8.7, 9.0, 10.2, 10.3, 10.6, 10.8, 10.9, 11.0, 11.1, 11.5, 11.7, 12.2, 13.4 then the sample range is 7.3.
What is meant by sample range?A well-liked and straightforward method for comparing the variability of various data distributions is the sample range. The formula for the sample range is the greatest value minus the smallest value. It is based on two values in a data set: the maximum and minimum.
The probability distribution of a statistic that is acquired by repeated sampling of a particular population is called the sampling distribution. It outlines a variety of potential possibilities for a statistic, such as the mean or mode of a population's mean or mode of some variable.
Arrange all values in your information set from low to high.
Subtract the lowest value from the highest value.
Let the given data be 6.1, 6.8, 8.7, 9.0, 10.2, 10.3, 10.6, 10.8, 10.9, 11.0, 11.1, 11.5, 11.7, 12.2, 13.4
13.4 - 6.1 = 7.3
Therefore, the sample range is 7.3
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50 < = x >= 1000 inequality
The solution to the given inequality is x≥50.
The given inequality is 50≤x≥1000.
What is inequality?Inequalities are 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.
Now,
Move all terms not containing x from the centre section of the inequality.
Inequality Form: x≥50
Interval Notation: [50,∞)
The solution to the inequality is marked on the number line.
Therefore, the solution to the given inequality is x≥50.
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please help (clearer photo)
Step-by-step explanation:
2a: Domain [3,7] Range: [1,5]
2b: domain: (-infinity, 1] Range: All real numbers
2c: domain [-3, 6] range [-4,2]
2d: (-infinity,-2] U (2, infinity] range: [0, infinity)
2e domain is [0, infinity) range is all real numbers
Evaluate the function when x= -4, -2, -1, 1/2, and 2
, and 2.
g(x) =
-x+4, if x < -1
3,
if -1
-2x5, if x ≥ 2
When x = -4, f(x) = ¯
When x = -2, f(x) =
The values of the functions are:
a. When x =-4 then f(x) = -x+4
b. When x = -2 then f(x) = -x+4
c. When x = -1 then f(x) = -x+4
d. When x=1/2 then f(x) = 3
e. When x = 2 then f(x) = 2x-5
Given, g(x) = {-x+4 , if x≤-1
3 , if -1≤x<2
2x-5, if x≥2 }
a. when x = -4, f(x) = ?
-4 comes under the condition x≤-1.
therefore, when x=-4 ⇒ f(x) = -x+4
f(-4) = -4+4 = 0
b. when x=-2, f(x)= ?
Again -2 comes under the condition if x≤-1
therefore when x=-2 ⇒ f(x) = -x+4
f(-2) = -2+4 = 2
c. when x=-1, f(x) = ?
-1 comes under the condition if x≤-1
therefore, when x=-1 then f(x) = -x+4
f(-1) = -1+4 = 3
d. when x=1/2 , f(x) = ?
1/2 comes under the condition, if -1≤x<2
therefore, when x=1/2 then f(x) = 3.
e. when x=2, f(x) = ?
2 comes under the condition, if x≥2
therefore, when x=2 then f(x)= 2x-5.
hence we get the required results of the given functions.
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what is 3000 divided by 40 with long division??
3000 ÷ 40 =
75 ⇐ Quotient
――――
40)3000 ⇐ Dividend
280
---
200
200
3000 divided by 40 is equal to quotient of 75 with no remainder.
To perform long division for 3000 divided by 40, Set up the long division format.
Determine how many times 40 can go into the leftmost digit of 3000 (which is 3).
The answer is 75. Write 75 on top of the division bar.
Now, subtract 3000 - 3000 to get the remainder.
The remainder is 0.
Hence, 3000 divided by 40 is equal to 75.
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5. the distance between k(1,-5) and a point l with integer coordinates is v10 units.
find all possible coordinates of point l.
The possible coordinates of point l are (7,3),(7,-13),(-5,3),(-5,-13),(9,1),(9,-11),(-7,1), and (-7,-11).
Given that:-
Coordinates of k = (1,-5)
Distance between point k and point l = 10 units.
We have to find the coordinates of point l.
Let the coordinates of point l be (x,y).
By using distance formula, we can write:-
[tex]\sqrt{(x-1)^2+(y+5)^2} =10[/tex]
Squaring on both sides, we get:-
[tex](x-1)^2+(y+5)^2=100[/tex]
For, integer coordinates, the possibilities are 36+ 64 or 64+36.
Hence, we can write,
[tex](x-1)^2+(y+5)^2 = 36 + 64 \\or\\(x-1)^2+(y+5)^2 = 64 + 36[/tex]
Hence,
[tex](x-1)^2 = 36[/tex]
x - 1 = 6 or x -1 = -6
x = 7 , -5
[tex](y+5)^2 =64[/tex]
y + 5 = 8 or y + 5 = -8
y = 3,-13
or
[tex](x-1)^2=64[/tex]
x - 1 = 8 or x - 1 = -8
x = 9,-7
[tex](y+5)^2[/tex]
y + 5 = 6 or y + 5 = -6
y = 1,-11
Hence, the possible values of coordinates of point l are (7,3),(7,-13),(-5,3),(-5,-13),(9,1),(9,-11),(-7,1), and (-7,-11).
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Bonnie made 7 pies. there were 6 slices in each apple pie and 7 slices in each peach pie. if bonnie made 44 slices of pie in total, how many of each pie did she make?
She make 5 apple pie and 2 peach pie.
In the given statement is:
Bonnie made 7 pies. there were 6 slices in each apple pie and 7 slices in each peach pie. if Bonnie made 44 slices of pie in total.
To find the how many of each pie did she make
Now, According to the question :
Let start the solution
Total number of slices made by Bonnie is 44
Let Number of apple pies be x
and, number of peach pies is (7 - x) ............(1)
Pieces of an apple pie is 6x
Pieces of peach pie = 7 (7 - x)
Calculation
6x + 7(7 - x) = 44
6x + 49 -7x = 44
-x = 44 - 49
-x = -5
x = 5
Put the value of x in equation (1)
7 - x = 7 - 5 = 2
She make 5 apple pie and 2 peach pie.
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A flagpole makes a 15-foot long shadow. The angle of elevation with the end of the shadow and the ground
makes a 65° angle. What is the height of the flagpole?
Answer:
12.5988 feet.
Step-by-step explanation:
Length of shadow = 15 feet.
Height of flagpole = A.
We know the angle of elevation is 40∘. Using this angle and the tangent ratio, we can find A.
Hope this helps! :)
Subtract:
-2 - 6 =
Submit
A
Describe how to show 5-4 subtraction problem on a number line.
Answer: By having the arrow going to the left of the number line
Step-by-step explanation:
When subtracting, you always go to the left of the number line. Just like how you go to the right when adding. also having the line going from 5 to 1.
f(m) = 3m^2 - 5
find (-2)
Answer:
f(- 2) = 7
Step-by-step explanation:
assuming you mean find f(- 2)
substitute x = - 2 into f(m)
f(- 2) = 3(- 2)² - 5 = 3(4) - 5 = 12 - 5 = 7
Answer:
7
Step-by-step explanation:
Plug in -2 for m:
f(m)=3(-2)^2-5
Simplify:
(-2)^2 or (-2)(-2)=4
f(m)=3(4)-5
3x4=12
f(m)=12-5
f(m)=7
Directions: Determine whether each relation is a function. Explain your answer.
Just need 16-18
From the rule for when a relation represents a function, we have that:
16) Is not a function.
17) Is a function.
18) Is not a function.
When does a relation represents a function?A relation represents a function when each value of the input is mapped to only one value of the output.
For this problem, we have that:
In item 16, input 5 is mapped to outputs 2 and 4, hence it is not a function.In item 17, each input is mapped to only one output, hence it is a function.In item 18, input -2 is mapped to outputs 13 and 15, hence it is not a function.More can be learned about relations and functions at https://brainly.com/question/12463448
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Regular insulin is ordered iv at 7 units/hour. the iv bag contains 100 units of regular insulin in 100ml of d5w. the iv rate should be how many ml/hr? (round to the nearest whole number
The iv (insulin rate) rate should be 7 ml/hr.
Here,
Regular insulin is ordered iv at 7 units/hour.
The iv bag contains 100 units of regular insulin in 100ml of d5w.
We have to find the iv rate.
What is insulin rate?
Basal insulin rate is the rate at which an insulin pump provides small, “background” doses of fast-acting insulin.
Now,
Regular insulin is ordered iv at 7 units/hour.
The iv bag contains 100 units of regular insulin in 100ml of d5w.
The insulin rate in ml/hr = ( 7 units / 1 hr ) * (100 ml / 100 units) = 7 ml/hr
So, The iv (insulin rate) rate should be 7 ml/hr.
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Enjoys town about 33 out of 100 cats are black if joe walks by 21 cats in one week predict how many of those cats are black
If joe walks by 21 cats in one week then 7 cats are black.
Percentage can be defined as a ratio that is expressed as fraction of 100.
For Example , 1%= 1/100
Given that Joe's town there are 33 black cats
Total cats = 100.
The percentage of black cats in town =[tex]\frac{33}{100}[/tex]=33%
Number of cats joe sees in a week =21
Number of black cats joe sees in a week will be = 33% of 21
[tex]=21*\frac{33}{100} \\ \\ =\frac{693}{100} \\ \\ =6.93\\ \\[/tex]= approx. 7
Therefore , If joe walks by 21 cats in one week then 7 cats are black.
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help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help
Answer:
1. -10x+36
2. 24x+121
3. 2x-8xy+32y
4. 50x-10xy+y^2
Step-by-step explanation:
i think dis right
Answer:
see explanation
Step-by-step explanation:
using the following expansions
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²
1
x² - 12x + 36
with a = x and b = 6 , then
x² - 12x + 36 = x² - 2(x)(6) + 6² = (x - 6)²
2
x² + 22x + 121
with a = x and b = 11 , then
x² + 22x + 121 = x² + 2(x)(11) + 11² = (x + 11)²
3
x² - 8xy + 16y²
with a = x and b = 4y , then
x² - 8xy + 16y² = x² - 2(x)(4y) + 16y² = (x - 4y)²
4
25x² - 10xy + y²
with a = 5x and b = y , then
25x² - 10xy + y² = 25x² - 2(5x)(y) + y² = (5x - y)²
surface area of composite figures
Answer:
mark me brainliest hope your day goes wellStep-by-step explanation:
The area of the composite figures is the area of one or more simple polygons and circles combined. We can add the areas of all the basic figures together to calculate the area of the composite figures. Find the area of each shape and add them together to find the area of the composite figure.Answer:
The surface area is the sum of all the faces (or surfaces) of a 3D shape. Composite figures are 2 figures put together. (There is an example of a composite figure below) You find an area of both shapes and then add them together, to find the area of the full figure.
Step-by-step explanation:
Solve the equation. b+9=13 Enter the solution for the variable b in the box. b =
Answer: I think its 4
Step-by-step explanation: because 4+9=13
Which equation represents the relation that is shown in the graph?
Cost of Buying Comic Books
On a coordinate plane, a graph titled Cost of Buying Comic Books has number of issues on the x-axis and total cost on the y-axis. A line goes through points (0, 0), (1, 3.5), (2, 7).
y = 7/2x represents the relation that is shown in the graph.
Here the line goes through points (0, 0), (1, 3.5), (2, 7).
This means that these points must satisfy the equation of the line.
Let us, check each equation one by one
A. y = x + 2/7
Here if we take x = 0,
y = 0 + 2/7
y = 2/7
Thus, (0,0) does not satisfy and hence, we eliminate this option.
B. y = x + 7/2
Here if x = 0
y = 7/2
Thus, again (0,0) does not satisfy and hence, we eliminate this option.
C. y = 2/7 x
Here, if x = 0
y = 0
Hence, (0,0) satisfies.
if x = 1
y = 2/7
or y = 0.28
Thus, (1, 1.35) does not satisfy and hence, we eliminate this option.
D. y = 7/2x
Here, if x = 0
y = 0
Hence, (0,0) satisfies.
if x = 1
y = 7/2
or y = 3.5
Hence, (1, 1.35) satisfies.
if x = 2
y = (7/2)(2)
y = 7
Hence, (2, 7) also satisfies.
Thus, y = 7/2x represents the relation that is shown in the graph.
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Your question was incomplete. Check for full content below-
Which equation represents the relation that is shown in the graph?
Cost of Buying Comic Books. On a coordinate plane, a graph titled Cost of Buying Comic Books has number of issues on the x-axis and total cost on the y-axis. A line goes through points (0, 0), (1, 3.5), (2, 7).
y = x + 2/7
y = x + 7/2
y = 2/7 x
y = 7/2x
Help, please.
I’m not sure how to do it, but it’s part of a puzzle.
Answer:
x = 14 y = 59
Step-by-step explanation:
the angle (5x - 11) is equal to the angle (3x + 17) and 3x+ 17 is equal to y
5x - 11 = 3x + 17
5x - 3x = 17 + 11
2x = 28
x = 28/2
x = 14
3x+17 = y
3(14) + 17 = y
y = 59
Step-by-step explanation:
Fact 1: Alternate angles are equal.
Angles, (5x-11)° and (3x+17)° are ALTERNATE angles and so,
(5x-11)° = (3x+17)°
5x - 3x = 17 + 11
2x = 28
x = 28 ÷ 2
x = 14
NB: x does NOT have the degree sign because it's NOT an angle on its own, but rather within the bracket/part of the calculation to get the angle degree.
Fact 2: Opposite angles are equal.
Y° and (3x+17)° are OPPOSITE angles
y = (3x+17)°
y = (3x14) + 17
y= 42 + 17
y = 59°
Hope this helps!
Consider the pair of points below.
(4, 5)
(5, 1)
Find the slope of the line passing through the pair of points
m =
The slope of the line for the pair of points (4,5) and (5,1) is m= -4.
As given in the question,
Let the pair of points of the line are
(x₁ ,y₁) = (4, 5)
(x₂ , y₂) = (5,1)
Slope of the line passing through the pair of points (x₁ ,y₁) = (4, 5) and
(x₂ , y₂) = (5,1) is given by
m = (y₂ -y₁) / (x₂ - x₁)
⇒ m = (1-5) / (5 -4)
⇒ m = -4
Therefore, the slope of the line for the pair of points (4,5) and (5,1) is
m= -4.
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I need to find the following limits
The solution are-
(a) lim h (x) = -2
x → -2⁻
(b) lim h (x) = -2
x → -2⁺
(c) lim h (x) = -2
x → -2
What is defined as the limits of the functions?A limit describes the value which a function approaches as its inputs get increasingly closer to a certain number.
The concept of a limit is at the heart of all calculus.
(a) lim h (x) = -2
x → -2⁻
Put x = 2 at the place of x in h(x).
This limit is called the left hand limit of the function as there is negative sign over 2.
(b) lim h (x) = -2
x → -2⁺
Put x = 2 at the place of x in h(x).
This limit is called the right hand limit of the function as there is positive sign over 2.
(c) lim h (x) = -2
x → -2
Put x = 2 at the place of x in h(x).
This limit exists just at x = 2.
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Given AB with A(8, -4) and B(-6, 11), if P partitions AB such that the ratio of AP to AB is 2:7, find the coordinates of P
The solution set of x^2+12=21
The solution set of the equation is: x = -3, x = 3.
How to Find the Solutions to an Equation?Given the equation, x² + 12 = 21, the solution set is the possible value of x that will make the equation true. To find the values of x, do the following as shown below:
x² + 12 = 21
Subtract 21 from both sides of the equation
x² + 12 - 21 = 21 - 21
x² + 12 - 21 = 0
x² - 9 = 0
Find the difference of the two squares
(x + 3)(x - 3) = 0
x = -3
x = 3
Therefore, the solution set of the equation is: x = -3, x = 3.
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Can you determine any purpose why these concepts are present in the pictures?
The purpose why these concepts are present in the pictures is to develop imagination power among students.
As you imagine more, your mind becomes stronger and you have greater mental control. Innovation requires a strong imagination. If you succeed in what you set out to do, the same individuals who now accuse you of daydreaming will begin to aspire to be like you. Keep your aspirations high and your imagination expanding.
Imagination is a potent brain stimulant because it forces you to think differently than most people do. Your imagination can help you come up with scenarios that most effectively handle difficulties, even though your brain might classify them as being unexpected.
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graph the line y=-1/3+3
el precio de un terreno rectangular es $8736. si su largo es 17,50 m y su ancho, 15,60 m , halla el precio del metro cuadrado...
El precio unitario del terreno rectangular es $ 32 por cada metro cuadrado.
¿Cómo determinar el precio por cada metro cuadrado?
Tenemos un terreno rectangular con dimensiones y costo total conocido. El área de un rectángulo (A), en metros cuadrados, es igual al producto de su largura (l), en metros, y su anchura (a), en metros, cuya fórmula se presenta a continuación:
A = a · l
El precio del metro cuadrado se obtiene dividiendo el precio del terreno por su área:
A = (17.50 m) · (15.60 m)
A = 273 m²
c = C / A
c = 8736 / 273
c = $ 32 / m²
El precio unitario del terreno rectangular es $ 32 por cada metro cuadrado.
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1.) If 2/5 of x is 20 what is 3/10 of x?
2.) if 2/3 of y is 24 what is 5/6 of y?
Answer:
1. 15 2. 30
Step-by-step explanation:
1. (2/5)x = 20
20/(2/5) = x
x = 50
50 × (3/10) = 15
2. (2/3)y = 24
24/(2/3) = y
y = 36
36 × (5/6) = 30
Find the difference of -6-(-7)
Answer:
1
Step-by-step explanation:
When you simplify, the answer is 1.
Answer:
1
Step-by-step explanation:
the following are amounts of total snow falls (in inches) in different midwestern cities in the united states in a certain year: 20 40 31 7 15 29 25 20 17 32 28 12 34 29 20 17 33 23 find the sample mean.
The sample mean of the given data is 24.
What do we mean by mean?In mathematics, particularly statistics, there are several types of means. Each mean is used to summarize a specific set of data, often in order to better understand the overall value (magnitude and sign) of a given data set.The arithmetic mean, also known as "arithmetic average," of a data set is a measure of the central tendency of a finite set of numbers: specifically, the sum of the values divided by the number of values.To find the mean:
Mean = sum of terms/number of termsMean = 432/18Mean = 24Therefore, the sample mean of the given data is 24.
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