Answer:
Step-by-step explanation:
Let's call the number of rows "x". The number of plants in each row would be 2x - 10. We know that the total number of plants is 600, so we can set up an equation:
x * (2x - 10) = 600
Expanding the left side:
x^2 + 10x - 600 = 0
We can solve for x using the quadratic formula:
x = (-10 ± √(10^2 - 4 * 1 * -600)) / 2 * 1
x = (-10 ± √(100 + 2400)) / 2
x = (-10 ± 50) / 2
x = 20 or -5 (but x cannot be negative, as the number of rows must be a positive integer)
So, there are 20 rows with 10 plants in each row. The number of plants in each row is 2x - 10 = 2 * 20 - 10 = 30.
Which of the following graphs are identical?
Answer:
[tex]\sqrt[3]{-x}[/tex] and [tex]-\sqrt[3]{x}[/tex]
Step-by-step explanation:
I inserted these functions into a graphing calculator and checked if they were identical or not
Answer:
First part is D and F
The Second part is A,C,D
Step-by-step explanation:
EDG 2023
Find the solution of the differential equation that satisfies the given initial condition.
dy/dx = x/y, y(0) = -2
Refer to the attached image.
Solve the following system of inequalities graphically on the set of axes below.
State the coordinates of a point in the solution set.
y≥-x+3
y > 2x - 6
The graph of the inequality is added as an attachment and a solution is (1, 5)
How to determine the solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
y ≥ -x + 3
y > 2x - 6
The above expression is an inequality that implies that:
The inequality is a linear inequality
Next, we plot the graph
One of the points in the shaded region is (1, 5)
See attachment for the graph of the inequality
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Solve number 10 in the image below.
The relationship between the rectangles ABCD and WXYZ is AB = WX.
What are rectangles?The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.
Given the rectangles ABCD and WXYZ, in a coordinate grid,
length of rectangle ABCD is parallel to the Y-axis and the length of rectangle WXYZ is parallel to the X-axis,
let us consider the scale of the grid to be 1 unit,
from graph,
AD = BC = 5 units
AB = DC = 3 units,
and for rectangle WXYZ,
XY = WZ = 5 units
WX = YZ = 3 units
so AB = WX
Hence option D is correct.
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Point P partitions directed segment AB in the part to part ratio of 3:4. If A(5, 5) and B(1, -2) find the y-coordinate of P.
y coordinate of point p is 2.
What is Coordinate System?Arrangement of reference lines or curves used to identify the location of points in space.
Using the section formula, if a point (x,y) divides the line joining the points
(x₁, y₁) and (x₂, y₂) in the ratio m:n then
(x, y)=(mx₂+nx₁/m+n, my₂+ny₁/m+n)
(x,y)=(3(1)+4(5)/7, 3(-2)+4(5)/7)
=(3+20/7, -6+20/7)
=(23/7, 14/7)
=(23/7, 2)
The y coordinate of point p is 2
Hence, y coordinate of point p is 2.
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A cubic function of the form u = a * x ^ 3 + b * x ^ 2 + cx + d yields the following table:
x y
oo
- 5
The coefficient a =
,and d= Box.
,b=
,C=
The value of the coefficients a, b, c, and constant d will be 0.50, 0, -1.50, and 1, respectively.
How to get polynomials with zeroes?Let a, b, c, and d are the zeroes of the polynomial and k be the leading corefficient. Then the polynomial is given as,
⇒ k(x - a)(x - b)(x - c)(x - d)
The degree of the polynomial will be greater than or equal to the number of zeroes.
From the graph, the zeroes are -2, 1, and 1. Then the polynomial is given as,
y = a(x + 2)(x − 1)²
The curve passes through (0, 1), then we have
1 = a(0 + 2)(0 − 1)²
1 = 2a
a = 1/2
a = 0.5
Then the polynomial is given as,
y = 0.50 (x + 2)(x − 1)²
y = 0.50 (x + 2)(x² + 1 - 2x)
y = 0.50 (x³ + 2x² + x + 2 - 2x² - 4x)
y = 0.50 (x³ - 3x + 2)
y = 0.50x³ - 1.5x + 1
Compare with standard equation, then we have
a = 0.50
b = 0
c = - 1.5
d = 1
The value of the coefficients a, b, c, and constant d will be 0.50, 0, -1.50, and 1, respectively.
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The missing graph is attached below.
7/3a-8/5+4/15a perform the operation and simplify the resulting fraction
Answer:
13a-8/5 simplified
Multiply and simplify. Correct answer will get brainliest! <3
Answer:
7, 2, 3, 4, 8, 3
-------------------------
This is about the distributive property of multiplication and the product of exponents with same base.
[tex]a(b + c) = ab + ac[/tex]When you multiply exponents with same base the powers add up:
[tex]a^b*a^c=a^{b+c}[/tex]The blanks are going to be:
Blank 1: Powers of m: 3 + 4 = 7Blank 2: Powers of n: 1 + 1 = 2Blank 3: Power of m remains: 3 Blank 4: Powers of n: 1 + 3 = 4Blank 5: Powers of m: 3 + 5 = 8 Blank 6: Powers of n: 1 + 2 = 3Answer:
[tex]15m^{7}n^{2}-20m^3n^{4}+10m^{8}n^{3}[/tex]
Blank #1 : 7Blank #2 : 2Blank #3 : 3Blank #4 : 4Blank #5 : 8Blank #6 : 3Step-by-step explanation:
Given expression:
[tex]5m^3n\left(3m^4n-4n^3+2m^5n^2\right)[/tex]
Distribute:
[tex]5m^3n \cdot 3m^4n-5m^3n \cdot 4n^3+5m^3n \cdot 2m^5n^2[/tex]
Multiply the numbers:
[tex]15m^3nm^4n-20m^3nn^3+10m^3nm^5n^2[/tex]
Rearrange to collect like terms:
[tex]15m^4m^3nn-20m^3n^3n+10m^5m^3n^2n[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]
[tex]15m^{4+3}n^{1+1}-20m^3n^{3+1}+10m^{5+3}n^{2+1}[/tex]
Therefore:
[tex]15m^{7}n^{2}-20m^3n^{4}+10m^{8}n^{3}[/tex]
find the geometric mean of 2 and 22
6.63324958071 is the mean of 2 and
Answer:
2 sqrt(11)
Step-by-step explanation:
To find the geometric mean of two numbers, take the square root
sqrt( 2*22)
sqrt(44)
sqrt(4*11)
2 sqrt(11)
yolonda has 7 more baseball cards than jeff. jeff has three times as many baseball cards as clara. all together, they have 21 baseball cards, how many does clara have?
As per the mentioned distribution of cards, Clara has 2 baseball cards.
Let the number of baseball cards with Clara be x. So, number of baseball cards with Jeff will be 3x. Now, the baseball cards that Yolonda has is (3x + 7). We know their sum is 21, therefore, forming the equation now -
x + 3x + 3x + 7 = 21
Performing addition on Left Hand Side of the equation
7x + 7 = 21
Dividing the whole equation by 7
x + 1 = 3
Rewriting and solving the equation for x
x = 3 - 1
Performing division on Right Hand Side of the equation
x = 2
The number of baseball cards with Clara are 2.
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part a: list three ways in which you can represent the expression, “for every 96 action/ adventure movies, there are 38 sci-fi movies to stream,” as a ratio. part b: explain why 96:38 is the same as 38:96
They both represent the same information - for every 96 action/ adventure movies, there are 38 sci-fi movies to stream. 96:38 and 38:96 are both equivalent ratios because they are inverse proportions of each other.
What is the inverse ?Inverse is the opposite of something. It can be used to describe the opposite of a mathematical operation, such as taking the reciprocal of a number, or the opposite of a logical statement, such as negating the statement. It can also be used to describe the opposite of an action, such as reversing a direction or undoing an action. Inverse can also be used to describe the opposite of an effect, such as the opposite of a physical reaction or the opposite of an emotional response. Inverse relationships can often be seen in nature, such as how a decrease in temperature results in an increase in pressure, or how an increase in the amount of light results in a decrease in the number of insects in a certain area.
a:
1. 96:38
2. 38:96
3. (96/38):1
b: 96:38 and 38:96 are both equivalent ratios because they are inverse proportions of each other. They both represent the same information - for every 96 action/adventure movies, there are 38 sci-fi movies to stream. The only difference is the order of the numbers, but the ratio remains the same.
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When a car slams on its brakes and starts to skid, it leaves skid marks on the road. Investigators use these marks to determine how fast a car was going when it started to brake. The car's speed,
v
v
, (in feet per second) is related to the skid mark length,
d
d
, (in feet) by the equation
v
=
√
32
f
d
v
=
32
f
d
, where
f
f
is the coefficient of friction determined by the material the car was skidding on.
Wet asphalt has a coefficient of friction of 0. 5. If a car was driving 40 miles per hour and slams on its brakes, how long of a skid mark will it leave? 1 mile = 5280 feet.
If a car was driving at a speed of 40 miles per hour and slams on its brakes the vehicle will produce a skid mark that measures around 64.2 feet.
Equation v = √(32fd), where f is the surface's coefficient of friction, relates the speed, v (in feet per second), to the length of the skid mark, d (in feet).
To begin, we may convert the car's starting speed from miles per hour to feet per second:
25 miles/hour × 5280 feet/mile / 3600 seconds/hour ≈ 36.7 feet/second
In order to solve for d, we may then enter the above numbers into the equation v = √(32fd):
36.7 = √(32 × 0.5 × d)
36.7² = 32 × 0.5 × d
d = (36.7²)/(32 × 0.5) ≈ 64.2 feet
As a result, the vehicle will produce a skid mark that measures around 64.2 feet.
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Find the value of x. 117° 94°
Answer im not sure frl but its ok
Step-by-step explanation:
Answer: 7
Step-by-step explanation:
The density of water is 1 gram per cubic centimeter. An object floats in the water if its density is less than water's density, and it sinks if its density is great than water's.
Suppose a ball with mass 90 grams is in the shape of a sphere with radius 4 centimeters. Will the ball sink or float in the water?
ROUND YOUR ANSWERS TO THE NEAREST HUNDRETH AND USE THE π BUTTON WHEN CALCULATING.
The sphere ball will not sink because it has a density of 0.34 g/cm³ which is lesser than density of water
What is density?Density is the substance's mass per unit of volume. The symbol most often used for density is ρ, although the Latin letter D can also be used. Mathematically, density is defined as mass divided by volume.
Density = mass/volume
volume of the sphere = 4/3 πr³
= 4/3 × 3.14 ×4³
= 803.84/3
= 267.95 cm³
Density of the sphere = 90/267.95
= 0.34 g/cm³( nearest hundredth)
Therefore the sphere will not sink because it's density is lesser than that of water.
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The box plot represents the number of tickets sold for a school dance.
A horizontal line labeled Number of Tickets sold that starts at 7, with tick marks every one unit up to 32. The graph is titled Tickets Sold for A Dance. The box extends from 15 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 8 and 31.
Which of the following is the appropriate measure of variability for the data, and what is its value?
The IQR is the best measure of variability, and it equals 13.
The IQR is the best measure of variability, and it equals 6.
The range is the best measure of variability, and it equals 13.
The range is the best measure of variability, and it equals 6.
The correct statement regarding the best measure of the variability is given as follows:
The IQR is the best measure of variability, and it equals 6.
What is the Interquartile Range of a data-set?The Interquartile Range (IQR) of a data-set represents the difference between the third quartile and the first quartile of the data-set.
As it is not affected by outliers, it is the best measure of variability of a data-set.
The quartiles for this problem are given as follows:
First quartile: Q1 = 15.Third quartile: Q3 = 21.Hence the IQR is obtained as follows:
IQR = 21 - 15
IQR = 6.
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A theatre has n rows and m seats in each row. How many seats are in the theatre
The number of seats in the front row can be represented as: s = x - (n - 1) * (2y / n - x) / (n - 1) = x - (2y - nx) / n
Let's call the number of seats in the first row "s". Then, the number of seats in the second row is s + d, the number of seats in the third row is s + 2d, and so on. The total number of seats in the theater can be represented as:
s + (s + d) + (s + 2d) + ... + (s + (n - 1)d) = y
Expanding this equation and combining like terms, we get:
ns + (d * (n - 1) * n) / 2 = y
Now that we have an equation for the total number of seats in terms of n, d, and y, we can use the number of seats in the last row to solve for s, the number of seats in the first row:
s + (n - 1)d = x
ns + (d * (n - 1) * n) / 2 = y
Solving for s in terms of n, x, and y:
s = x - (n - 1)d
ns + (d * (n - 1) * n) / 2 = y
Substituting this expression for s into the equation for the total number of seats:
(x - (n - 1)d) + (d * (n - 1) * n) / 2 = y
Expanding and solving for d:
x + (n - 1)d = 2y / n
d = (2y / n - x) / (n - 1)
Finally, substituting this expression for d back into the equation for s:
s = x - (n - 1) * (2y / n - x) / (n - 1)
So the number of seats in the front row can be represented as:
s = x - (n - 1) * (2y / n - x) / (n - 1)
= x - (2y - nx) / n
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The complete question is:
A theater has n rows of seats, and each row has d more seats than the row in front of it. There are x seats in the last (nth) row and a total of y seats in the entire theater. How many seats are in the front row of the theater? Write your answer in terms of n, x, and y.
Exercise 13.2 Mark the following ordered pairs of points on a graph paper and join the points as required. A(0, 3), B(5, 8), C(9, 8), D(4, 3), E(9, 6), F(4, 1), G(0, 1) on a graph paper
The ordered pairs of points on a graph is added as an attachment
How to mark and join the ordered pairs of points on a graph?From the question, we have the following parameters that can be used in our computation:
The ordered pairs
The ordered pairs are represented as
A(0, 3), B(5, 8), C(9, 8), D(4, 3), E(9, 6), F(4, 1), G(0, 1)
Next, we create a plot of the ordered pairs
When this is done, we then connect the points
See attachment for the graph of the ordered pairs
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Graphing Exponential Exponents Practice
Directions: Graph the function. Compare the graph to the graph of the parent function, identify the y-intercepts, asymptotes, domain, and range.
3) f(x)=[tex]\frac{4}{3}[/tex](6)^x
4)f(x)= -([tex]\frac{1}{3}[/tex])^x
The properties of the functions and the graphs are listed beloe
How to determine the features of the functionsFunction 3
Here, we have
f(x) = 4/3(6)^x
See attachment for the graph, where we have the following features
Domain = All set of real numbersRange: y >= 0y-intercepts = 4/3Asymptotes: y = 0Function 4
Here, we have
f(x) = -(1/3)^x
See attachment for the graph, where we have the following features
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An artist plans to sell $250 of prints online each week. This week, she is within $25 of her goal. Part A: Define a variable and write an absolute value equation to represent the scenario. (4 points) Part B: Solve the equation, showing all steps. (4 points) Part C: What are the minimum and maximum amounts that the artist received for her products? (2 points)
The artist reportedly got $225 or $275 for her paintings this week, depending on the statement provided.
Using an example, describe the scenario?We might, for instance, move to the city. Most likely, he will start classes again in the fall. If we could finish the job by tomorrow, that would be perfect. In the worst-case scenario, we would have to commence the project over.
Let x become the sum the artist got this week for her works in Part A.. The situation is represented by the absolute value equation:
|250 - x| = 25
Part B: To solve the equation, we can split it into two cases:
Case 1: 250 - x = 25
Solving for x, we get:
x = 250 - 25 = 225
Case 2: 250 - x = -25
Solving for x, we get:
x = 250 + 25 = 275
Therefore, the artist received either $225 or $275 for her prints this week.
Part C: The minimum amount the artist received is $225, which is $25 less than her goal of $250. The maximum amount the artist received is $275, which is $25 more than her goal of $250.
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Kara, Harry, and Erin served a total of 86 orders Monday at the school cafeteria.
Henry served 10 fewer orders than Kira. Erin served 4 times as many orders as Kira.
How many orders did they each serve?
The required orders are Kara served 12.5 orders, Harry served 22.5 orders, and Erin served 50 orders.
What are conditional equation?An equation that holds true for one or more values of the variable but holds false for other values of the variable is known as a conditional equation. In Hannah's example, the equation holds true for the value of x equal to 10, but not for other values, such as 1. The equation is a conditional equation as a result.
According got question:Let we consider the number of orders Kara served as x.
Then, Harry served x + 10 orders and Erin served 4x orders.
The total number of orders they served is x + x + 10 + 4x = 86 orders.
So, 6x + 10 = 86
6x = 76
x = 12.5
Kara served 12.5 orders, Harry served 22.5 orders, and Erin served 50 orders.
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Answer:
Step-by-step explanation:
Let the orders served by Kira be k.
Orders served by Henry= 10 less than Kira
= k-10
Orders served by Erin= 4 times of Kira
= 4k
Total orders served= 86
Kira+Henry+Erin= 86
k+k-10+4k= 86
6k-10= 86
6k= 86+10
6k= 96
k= 96/6
k= 16
Kira= k= 16
Henry= k-10= 16-10= 6
Erin= 4k= 4x16= 64
∴ Kira served 16 orders, Henry served 6 orders & Erin served 64 orders
Taffy twist candy company keeps the same ratio of pieces of strawberry candy to banana candy in their packs. The mega pack has 40 strawberry candies and 50 banana candies. The party pack has 20 strawberry candies.
How many banana candies are in the party pack?
Answer:
The party pack has 20 strawberry candies and 25 banana candies. To calculate this, divide the number of strawberry candies in the mega pack (40) by the total number of candies in the mega pack (90). This gives you a ratio of 4:5. For the party pack, divide the number of strawberry candies (20) by that same ratio (4:5) to find the number of banana candy pieces, which is 25.
Manisha designed a table cloth in the shape of a square of side 54cm . She wants to decorate its boundaries by sticking a lace around it . Fing the cost of putting lace around the table cloth at the rate of ₹8.5 per meter.
At 8.5 per meter, the cost of tying lace around the tablecloth is $18.36.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical phrase with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10. Identity equations and conditional equations are the two types of equations. An identity holds true for all possible values of the variables. A conditional equation is valid only for certain values of the variables. An equation consists of two expressions joined by an equals sign ("=").
Here,
The perimeter of the table cloth is 4 times the length of one side, so it is 4 * 54 cm = 216 cm.
To convert from centimeters to meters, we divide by 100, so the perimeter is 216 cm / 100 = 2.16 meters.
At a rate of ₹8.5 per meter, the cost of putting lace around the table cloth is 2.16 meters * ₹8.5 per meter = ₹18.36.
The cost of putting lace around the table cloth at the rate of ₹8.5 per meter is $18.36.
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Jahnay is following this recipe to make cakes. Jahnay uses 840 g of flour. How many cakes is Jahnay making? Recipe: Makes 1 Cake 150 g sugar 120 g butter 210 g flour 2 eggs
Answer:
To determine how many cakes Jahnay is making, we need to calculate the total weight of the ingredients for one cake and then divide the total amount of flour Jahnay is using by that amount.
First, let's calculate the total weight of ingredients for one cake:
150 g sugar + 120 g butter + 210 g flour + 2 eggs = 480 g
Next, let's divide the total amount of flour Jahnay is using by the total weight of ingredients for one cake:
840 g / 480 g = 1.75 cakes
So Jahnay is making 1.75 cakes.
Write the following as an algebraic equation . Use x as the unknown and use a sum. Sum of a number and its equivalent to 115.6
Answer:
x+1=115.6
Step-by-step explanation:
an unknown x
plus a number imagine 1
so x+1=115.6
The figure below was made with a scale of 1 unit=4ft. Draw the figure with a new scale of 1 unit=8ft. 1 unit=4fr looks like a rectangular so what woyld it look like if it was 1 unite=8ft
The new diagram with a scale factor of 1 unit = 8 feet will look the same
as each new grid now represents 8 feet.
What is a scale factor?The scale factor defines a variable in a ratio of two different measurements.
Sometimes drawings of large models are represented in a scale factor of a smaller unit.
Given, A drawing represented by a scale factor of 1 unit = 4ft,
Where every grid unit represents 4 ft.
The new drawing model will look exactly the same as now each grid unit represents 8 feet.
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What is the answer for this I’m stuck
This is algebra
The simplest form of (m². m⁵. m⁻³ ) is m⁴
Exponent:Writing a number as the product of itself a number of times are known as an Exponent.
For example,
If 7 is multiplied by itself 3 times, i.e. 7 × 7 × 7. This can be represented as 7³. Where 7 is the base and 3 is the exponent.
If a is multiplied by itself b times, i.e. a × a × a...(b times). This can be represented as (aᵇ). Where 'a' is the base and 'b' is the exponent.
Here we have
The expression (m². m⁵. m⁻³ )
As we know, (aᵇ . aˣ. aᵃ) = aᵇ⁺ˣ⁺ᵃ
(m². m⁵. m⁻³ ) = m²⁺⁵⁻³ = m⁴
Therefore,
The simplest form of (m². m⁵. m⁻³ ) is m⁴
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Y’all care to assist me lol?!
Answer:
Step-by-step explanation:
I gotchu.
Area is piR^2
= pi(70squared)
= 15393.804
Circumference is 2piR
= 2pi(70)
= 493.82
In how many ways can the seven members of a students’ council pose in a line for a yearbook photograph if the chair and vice-chair must be side by side?
Answer:
The number of ways the 7 members of the student council can pose in a line for a yearbook photograph if the chair and vice-chair must be side by side is 6!.
To see why, consider the first 6 members as a group. They can be arranged in 6! ways, since they are interchangeable. Then, the chair and vice-chair must be positioned together in the first two spots, which is only one way. So, the total number of arrangements is 6! * 1 = 720 ways.
can give brainliest if this helps ;)
Answer:
1440
Step-by-step explanation:
We should first count the chair and vice-chair as one unit i.e. one person since they have to be seated together
This means there are 6 items effectively and these 6 items can be arranged in 6! ways
6! = 720 ways
But there is more....
The chair and vice-chair have to sit together but they can sit together in two different ways:
Chair can be on the left, vice-chair can be on the right
or
Chair can be on the right, vice-chair can be on the left
So for each of the 6! combinations there are 2 ways of seating the chair and vice-chair together
Total number of ways = 6! x 2
= 720 x 2 = 1440
PLSSSS HELP IF YOU TURLY KNOW THISSS
Answer:
12
Step-by-step explanation:
[tex]\dfrac{x}{4} + 17 = 20\\\dfrac{x}{4} = 20 - 17\\\dfrac{x}{4} = 3\\x = 4 \cdot \;3 \\\\x = 12[/tex]
Answer:
x = 12
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ (x/4) + 17 = 20
Then the value of x will be,
→ (x/4) + 17 = 20
→ x/4 = 20 - 17
→ x/4 = 3
→ x = 3 × 4
→ [ x = 12 ]
Hence, the value of x is 12.
The scatter plot shows the number of hours worked x and the earnings y (in dollars) of a food server
a. The server worked for about 2.5 hours to earn $35
b. the server earn $77 for 5 hours of work
c. the earnings will increase as the number of hours worked increases
How to find how much the server earn for 5 hours of workThis solved by tracing the information from the graph
Tracing the graph the information that coincides with earning $35 is about 2.5 hours
Tracing the graph the information that coincides with earning $77 is about 5 hours
The graph shows that increase in earning will lead to increase n hours of work
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