Answer:
Let B represents the number of basil plants and F represents the number of fennel plants,
As per the given condition: Michelle has a maximum of 4500 milliliters of water for her plants today. Each basil plant requires 350 of water, and each fennel plant requires 525 of water.
Each basil plant require 350 of water
⇒ total number of basil plant require water = 350B
Each Fennel plant require 525 of water.
⇒ total number of fennel plant require water = 525F
Since, Michelle has a maximum of 4500 milliliters of water;
then;
[tex]350B+525F \leq 4500[/tex]
Therefore, an inequality that represents the number of basil plants(B) and fennel plants can water today is; [tex]350B+525F \leq 4500[/tex]
What is the average rate of change of the function f(x)=5(2)^x from x = 1 to x = 5? Enter your answer in the box.
Answer:
37.5
Step-by-step explanation:
The average rate of change is the amount over an interval the outputs change in a ratio to the input change. In a linear function, this is constant and called slope. In all other function, it is called the average rate of change because the rate of change varies over the interval. We use the same formula for the average rate of change as we do slope. First we need both the inout and output values of the function over the interval.
For x=1, [tex]f(1)=5(2^1)=5(2)=10[/tex].
For x=5, [tex]f(1)=5(2^5)=5(32)=160[/tex]
Slope:[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We substitute [tex]x_1=1\\y_1=10[/tex] and [tex]x_2=5\\y_2=160[/tex]
[tex]m=\frac{160-10}{5-1}[/tex]
[tex]m=\frac{150}{4}=\frac{75}{2} =37.5[/tex]
Answer:
37.5
Step-by-step explanation:
In triangle ABC, the segments drawn from the vertices intersect at point G. Segment FG measures 6 cm, and segment FC measures 18 cm. Which best explains whether point G can be the centroid? Point G cannot be the centroid because 18:6 does not equal 2:1. Point G cannot be the centroid because FG should be longer than CG. Point G can be the centroid because 12:6 equals 2:1. Point G can be the centroid because FC is longer than FG.
Answer:
The correct explaination is Point G can be the centroid because 12:6 equals 2:1
Step-by-step explanation:
Given in triangle ABC, the segments drawn from vertices intersect at point G.
Segment FG measures 6 cm and and segment FC measures 18 cm.
FG = 6 cm & FC = 18 cm
and also FC = FG + GC
18 = 6 + GC ⇒ GC = 12
Note: The centroid divides each median in a ratio of 2:1
& 12:6 give rise to 2:1
Hence, the correct explaination for this is Point G can be the centroid because 12:6 equals 2:1
Answer:
C
Step-by-step explanation:
on your own graph paper, graph the system of equations and identify the solution.
{y= - x + 6
y= x
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!
The graph of a polynomial function of degree 5 has three x-intercepts, all with multiplicity 1. Describe the nature and number of all its zeros.
Answer: C
Step-by-step explanation:
Degree of 5 means there are 5 roots.
If 3 roots are real, then there are 2 remaining - which must be imaginary.
Answer:
The answer is C.
Step-by-step explanation:
Recall that as consequence of the Fundamental Theorem of Algebra, a polynomial of n-th degree has n complex roots (some roots, or all of them, can be real).
Now, as we have a polynomial of degree 5, it has 5 roots. From the statement we know that its graph has three intercepts with the X-axis, which is equivalent to the existence, at least, of three real roots. Moreover, we know that the multiplicity of each root is one. Then, we have exactly three real roots.
The above deduction means that there are other two roots, and those must be complex.
You want to buy a car. You have a choice of six different dealerships. Each dealership carries the same two car companies, and sells eight different models that all come in four colors. If you must choose one option from each of these four categories, how many different cars can you buy if you want a black or blue Hyundai?
There are 40 different ways could you choose a car black or blue Hyundai.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that Each dealership carries the same two car companies, and sells eight different models that all come in four colors.
The following steps can be used to determine the different ways could you choose a car:
Now Multiply 5 and 4 that is multiply five exterior color choices and six interior color choices.
5 x 4
Now Multiply the above expression with 2 that is with two model choices.
20 x 2
Further simplify the above expression.
= 40
There are 40 different ways could you choose a car.
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To determine the number of different Hyundais available in black or blue, you multiply the number of dealerships (6) by the number of Hyundai models (8) and the number of relevant colors (2), resulting in 96 different cars.
The question asks how many different cars you can buy if you want a black or blue Hyundai, given certain constraints. There are six dealerships, two car companies, eight models, and four colors available. To answer this, we calculate the total combinations possible with the given choices: dealerships (6), car companies (2), models (8), and colors (4). Since we are only interested in Hyundai cars in black or blue, we eliminate other colors and car companies from the choice set. The calculation is as follows:
Number of dealerships: 6
Car companies: 1 (only Hyundai)
Car models: 8
Car colors: 2 (black or blue)
To find the total number of possible combinations, we multiply the number of each category's choices together:
6 (dealerships)
* 1 (Hyundai)
* 8 (models)
* 2 (colors)
= 96 different cars
A die is rolled. What is the probability of rolling a 5 or a number greater than 3?
Probability of rolling a 5: 1/6
Probability of rolling a number greater than 3: 3/6
The probability of rolling a 5 or a number greater than 3 on a six-sided die is calculated by summing the individual probabilities of rolling a 4, 5, or 6, which are each 1/6. Therefore, the total probability is 3/6 or 1/2, equating to a 50% chance.
To solve this, we need to identify the favorable outcomes and divide them by the total number of possible outcomes. A six-sided die has six possible outcomes: {1, 2, 3, 4, 5, 6}. The event of rolling a 5 or a number greater than 3 includes the outcomes {4, 5, 6}. Hence, there are three favorable outcomes for the desired event (rolling a 4, 5, or 6).
The probability of any single outcome is 1/6, as there are six sides to the die. Therefore, the probability of rolling a 5 or a number greater than 3 is calculated by adding the probabilities of rolling each of these numbers:
Probability of rolling a 4 = 1/6Probability of rolling a 5 = 1/6Probability of rolling a 6 = 1/6Adding these probabilities gives us 3/6 or 1/2, making the probability of rolling a 5 or a number greater than 3 being 50%.
If 3a= -9 ab = 15. What's the value of b
Answer:
b = -5
Step-by-step explanation:
So we know
3a = -9
Divide 3 on both sides
a = -3
Plug a in to the other equation
-3b = 15
divide -3 on both sides
b = -5
A youth group is planning a trip to a theme park. The bus holds up to 40 people. The cost for bus parking is $60.00. Each person going on the trip will be paying $36.00 for a ticket to enter the park.
The equation that models this trip is T = 36x + 60, where T represents the total cost for the group to take the trip and x equals the number of people going. What values are appropriate for the domain?
A) x = 40
B) x = 60
C) 0≤ x≤ 40
D) 0≤ x≤ 39
Given equation is:
[tex]T=36x+60[/tex]
Where T is the total cost; $36 is the entry fee per person and $60 is the one time bus parking fee.
As given, the bus holds up to 40 people, so let the total number of people be represented by 'x'
The bus holds up to 40 people so 'x' is either less than 40 or equal to 40.
Or this can be written as : [tex]x\leq 40[/tex]
Hence, the domain will lie between 0 and 40.
So option C : 0≤ x≤ 40 is the answer.
Answer:
c
Step-by-step explanation:
Please help me out!!!!!!!!!!!!
Answer:
6.6% Would be the answer.
You can check by multiplying 1000 people by 0.06 and get 66 people which is the number of families for that survey.
If you can please mark brainliest ¯\_(ツ)_/¯
Step-by-step explanation:
Noah bought 15 baseball cards for $9.00. Each baseball card costs the same amount. How much will 12 baseball cards cost
Cost of 12 basketball is $7.2
Given that;
Price of 15 basketball = $9
Find:
Cost of 12 basketball = 12
Computation:
Cost of 12 basketball = 12[9 / 15]
Cost of 12 basketball = 4[9 / 5]
Cost of 12 basketball = 36 / 5
Cost of 12 basketball = $7.2
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The library has at least 5,000 books.Which inequality represents the number of book b at the library? A . B>5,000 B . B>=5,000
Suppose A and B represent two different school populations where A > B and A and B must be greater than 0. Which of the following expressions is the largest? Explain why. Show all work necessary. 2(A + B) (A + B)2 A2 + B2 A2 − B2
Answer:
The value for the expression [tex](A+B)^{2}[/tex] is the largest
Step-by-step explanation:
Since both A and B must be greater than 0 and A>B then we can assume the least possible values for B=1 and A=2.
So,
i) 2(A+B) = 2(2+1) = 2*3 = 6
ii) [tex](A+B)^{2}[/tex] = (A+B)*(A+B) = (2+1)*(2+1) = 3*3 = 9
iii) [tex]A^{2} + B^{2}[/tex] = [tex]2^{2} +1^{2}[/tex] = 4+1 = 5
iv) [tex]A^{2} - B^{2} = 2^{2} - 1^{2}[/tex] = 4-1 =3
Inspecting the answers of the above four expressions, we see that the value for the expression [tex](A+B)^{2}[/tex] is the largest.
Answer: (A+B)^2 is the largest because it equals 9 when A=2 and B=1 are plugged in and the rest are less than 9
PLEASE HELP. WILL GIVE BRAINIEST AND 60 POINTS if you show work so I can understand these.
1. Find the slope of the line that passes through the
points (-1, 2), (0, 5).
2. Suppose y varies directly with x, and y = 15 and x = 5.
Write a direct variation equation that relates x and y.
What is the value of y when x = 9?
3. Write an equation in slope-intercept form of the line
that passed through (-3, 4) and (1. 4).
4. Use point-slope form to write the equation of a line
that has a slope of 2/3
and passes through (-3, -1).
Write your final equation in slope-intercept form.
5. Write the equation in standard form using integers
(no fractions or decimals): = −2/3 − 1
6. Write an equation of the line that passes through
(2, -1) and is parallel to the graph of y = 5x – 2. Write
your final equation in slope-intercept form.
7. Write an equation of
Answer:
In #1, the slope of the line is 3
Step-by-step explanation:
To find the slope of any line, you need to use the points in the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (5 - 2)/(0 - -1)
m = 3/1
m = 3
This means the slope is equal to 3.
Which of the following polygons has seven sides? decagon octagon pentagon heptagon
D. Heptagon
A decagon has 10 sides
an octogon has 8 sides
a pentagon has 5 sides
a heptagon has 7 sides which in turn leaves you with your answer
plz mark brainliest hope this helps and have a nice day:)
Answer:
heptagon
Step-by-step explanation:
Decagon has 10 sides
Octagon has 8 sides
Pentagon has 5 sides
Heptagon has 7 sides
store owner decides to mark up all items by 30%. What is the selling price of an item that originally cost $10?
Answer:$13
Step-by-step explanation:
A florist sold 15 arrangements in its first month of business. The number of arrangements sold doubled each month. What was the total number of arrangements the florist sold during the first 9 months? Enter your answer in the box.
Answer:
Step-by-step explanation:
Answer:
7665 arrangements
Need help please thanks
Answers: (a→b), (b→a), (c→c)
Explanation:
Column A:
a) [tex]y = -3x + \dfrac{1}{3}[/tex]
m = -3 ⇒ m⊥ = [tex]\dfrac{1}{3}[/tex]
b) 6x - 2y = 4
-2y = -6x + 4
y = 3x - 2
m = 3 ⇒ m⊥ = [tex]-\dfrac{1}{3}[/tex]
c) y - 3 = [tex]\dfrac{1}{3}[/tex](x - 3)
m = [tex]\dfrac{1}{3}[/tex] ⇒ m⊥ = -3
Column B
a) y - 3 = [tex]-\dfrac{1}{3}[/tex](x - 3)
m = [tex]-\dfrac{1}{3}[/tex]
b) y = [tex]\dfrac{1}{3}x + 6[/tex]
m = [tex]\dfrac{1}{3}[/tex]
c) 3x + y = 3
y = -3x + 3
m = -3
******************************************************************************
Column A letter a matches to Column B letter b
Column A letter b matches to Column B letter a
Column A letter c matches to Column B letter c
I need help please with this
There are 230 calories in 4 ounces of a type of ice cream how many calories are in 6 ounces of that type of ice cream
Answer: at this amount, there are 57.5 calories per ounce
therefore, there are 355 calories in 6 ounces of this ice cream
(since 57.5×6=355.0)
Answer:
345 calories
Step-by-step explanation:
Total Calories = 230 calories
Total amount = 4 ounces
TO find how many calories in 6 ounces of the ice cream
For this question we have to find out the number of calories in one ounce of an ice cream firs
as it is given to us that 230 calories in 4 ounces
so no of calories in one ounce = total calories / no of ounces
=230 / 4
=57.5 calories / ounce
Now we know that their are 57.5 calories in one ounce of the ice cream
We have to find no of calories in 6 ounces of ice cream
No of calories = 6 * 57.5
=345 calories
so amount of calories in 6 ounces are 345 calories
Which of the function notation describes the ordered number pair P(x) = {(1,11), (2,22), (3,33), (4,44)}?
11n is most probably the correct one.
An Electrician charges $30 for a service call plus $75 per hour of service. If he charged 210 how many hours did he work?
The system of equations y = -3x + 5 and y = 3x - 7 has
A. exactly one solution.
B. no solution.
C. infinitely many solutions.
D. exactly two solutions.
Answer:
This system will have a. exactly one solution.
Step-by-step explanation:
When two lines have different slopes it means that they intersect exactly one time.
If they have the same slope, we need to look at the intercept to see if there is none or infinitely many solutions.
However, these have different slopes and therefore have just 1 solution.
The given set of equations has exactly one solution as y = -1 and x = 2.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
To put it another way, the equation needs to be subject to some restrictions.
A linear equation could contain more than one variable. If a variable's maximum power constantly equals one, an equation is considered to be linear.
Given a set of equations,
y = -3x + 5 and y = 3x - 7
By equate,
-3x + 5 = 3x - 7
6x = 12
x = 2 and y = -1
Hence "The given set of equations has exactly one solution as y = -1 and x = 2".
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Which is the graph of an odd degree root parent function?
Answer:
The correct answer is Option 4, the fourth graph
Step-by-step explanation:
We will go through why the other graphs are not the correct answer and then explain why the fourth is indeed the correct answer.
Option 1 is wrong because it has the general shape of the graph of an even valued function. These functions are either concave up or concave down.
Option 2 is wrong because it has the general shape of the cubic function. These functions are defined for both negative and positive values of x.
Option 3 is wrong because it is not defined for negative values of x. It has the general shape of the square root function.
Option 4 is correct because it has the general shape of the function [tex]f(x)=\sqrt[3]{x}[/tex]. Functions of this kind are defined for both negative and positive values of x.
Answer: the fourth Graph
Step-by-step explanation:
Please answer this question!! 50 points and brainliest!!
Answer:
x<=11
Step-by-step explanation:
2(x-3 ) <= 16
Distribute the 2
2x -6 <= 16
Add 6 to each side
2x -6+6<= 16+6
2x <= 22
Divide by 2
2x/2 <= 22/2
x<=11
What are the leading coefficient and degree of the polynomial 9-10x^2-2x-15x^4
Answer:
Leading coefficient = - 15
Degree = highest power on a variable = 4
Step-by-step explanation:
It might be easier to see if you rewrote the polynomial in the order it is normally presented.
Highest power goes on the left.
y = -15x4 - 10x^2 - 2x + 9
The leading coefficient (-15) is the number in front of the variable with the highest power (x^4 or 4)
The highest power on a variable is the degree.
Noah made 12 \text{ kg}12 kg of trail mix for his family's hiking trip. His family ate 8600 \text{ g}8600 g of the trail mix on the hiking trip. How many grams of trail mix did Noah have left?
Answer:
3400 grams.
Step-by-step explanation:
We have been that Noah made 12 kg of trail mix for his family's hiking trip. His family ate 8600 g of the trail mix on the hiking trip.
Let us convert 12 kg into grams.
1 kg= 1000 grams
12 kg = 12*1000 grams =12000 grams.
Let u subtract 8600 from 12000 grams to find the amount of trail mix left.
[tex]\text{The amount of trail mix left}=12000-8600[/tex]
[tex]\text{The amount of trail mix left}=3400[/tex]
Therefore, Noah had 3400 grams left of trail mix.
In Circle O, secants ADB and AEC are drawn from external point A such that points D, B, E, and C are on Circle O. If AD=8, AE=6, and EC is 12 more than BD, find the length of AC.
The problem can be solved using the power of a point theorem. First, let BD = x and EC = x + 12. Construct an equation: 8x = 6(x+12). Solving for x gives BD = 9 and EC = 21. The length of AC is then 35.
Explanation:This problem can be solved using the concept of power of a point theorem in circle geometry. The power of a point theorem states that for any point outside a circle, the product of the lengths of the two line segments obtained by drawing secants from that point to the circle are always equal.
To apply this theorem to this problem, we'll first denote BD as x. Because the problem states that EC is 12 more than BD, we can denote EC as x + 12.
Now, using the power of a point theorem, we can write the equation (AD)*(DB) = (AE)*(EC). Substituting in the given values and the values we denoted for DB and EC, we get (8)*(x) = (6)*(x+12).
Solving this equation gives x = 9. Therefore, the length of BD is 9, and the length of EC is 21. To find the length of AC, we add the lengths AE, EC, and AD, which gives us AC = 6 + 21 + 8 = 35.
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Elena's aunt bought her a $150 savings bond when she was born. When Alayna is 20 years old the bond will have earned 105% interest how much will the bond be worth when Elena 20 years old?
Answer:
$307.5
Step-by-step explanation:
We have been given that Elena's aunt bought her a $150 savings bond when she was born. When Elena is 20 years old the bond will have earned 105% interest.
The bond's value after 20 years will be 150 plus 105% of 150.
[tex]\text{Bond's value when Elena will be 20 years old}=150+(\frac{105}{100}*150)[/tex]
[tex]\text{Bond's value when Elena will be 20 years old}=150+(1.05*150)[/tex]
[tex]\text{Bond's value when Elena will be 20 years old}=150+157.5[/tex]
[tex]\text{Bond's value when Elena will be 20 years old}=307.5[/tex]
Therefore, bond will be worth $307.5 when Elena will be 20 years old.
The school cafeteria needs to buy 200 new forks. If each package contains 9 forks, how many packages should the cafeteria buy?
Answer:
23 packages
Step-by-step explanation:
We are told that the school cafeteria needs to buy 200 new forks. Each package contains 9 forks.
To find the number of packages that school cafeteria should buy we will divide total number of needed forks by number of forks in each pack.
[tex]\text{The number of fork packages}=\frac{200}{9}[/tex]
[tex]\text{The number of fork packages}=22.22222[/tex]
Since forks come in package of 9, so cafeteria have to buy whole number packages.
Let us round up our answer to the whole number.
[tex]\text{The number of fork packages}=22.22222\approx 23[/tex]
Therefore, school cafeteria should buy 23 packages of forks.
Answer:
23 packages should the cafeteria buy.
Step-by-step explanation:
Proportion states that the two ratios or fractions are equal.
As per the statement: The school cafeteria needs to buy 200 new forks. If each package contains 9 forks.
then by definition of Proportion;
[tex]\frac{1}{9} = \frac{x}{200}[/tex] , where x represents the package
By cross multiply;
200 = 9x
Divide both sides by 9 we get;
[tex]\frac{200}{9} =\frac{9x}{9}[/tex]
Simplify:
[tex]x = \frac{200}{9} =22.222[/tex]
Therefore, 23 package should the cafeteria buy.
68% of 123 times 12 is?