Answer:
Option A, rational numbers
Step-by-step explanation:
Step 1: Determine which option is correct
Option B and D are automatically ruled out because only one of them is a whole number and the other one is a decimal. Option C doesn't work also because natural numbers are all the whole numbers that are greater than 1. The only option that makes sense is option A which includes whole numbers and decimals.
Answer: Option A, rational numbers
Tjfnfkgfjgngkgnbgkjhbhhhh
what's x + y
\( {x}^{2} + {y}^{2} + 2xy = 9\)
Answer:
the awnser is 10 and 1/x+ 1/y is = 5/12
There are some bacteria in a dish. Every hour, each bacterium splits into 3 bacteria.
1. This diagram shows a bacterium in hour 0 and then hour 1. Draw what happens in
hours 2 and 3.
There are some bacteria in a dish. Every hour, each bacterium splits into 3 bacteria. Hence, in total after 3 hours, we have 27 bacteria.
Bacteria are ubiquitous, largely free-living creatures that frequently only have one biological cell. They make up a significant portion of the prokaryotic microbial kingdom. Bacteria, which tend to be a few micrometres long and were among the initial organisms that appeared on Earth, are found in the majority of its habitats.
n = the number of bacteria at a given hour
at zero hour=1 bacteria.
1 bacteria after an hour is split in to 3 bacteria.
n(1) = 3
n(2) = 3 x 3 = 9 bacteria
n(3) = 9 x 3 = 27 bacteria
Hence, in total after 3 hours, we have 27 bacteria
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7th grade math!!!!!! HELP!
Morgan begins to use synthetic division to divide x4 + x3 − 6x2 − 4x + 8 by x − 2, as shown below. Which of the following shows the correct values to replace the question marks, and also gives the quotient?
A. 2, 6, 0, −8; x^3 − 3x^2 + 4
B. 2, 6, 0, −8; x^3 + 3x^2 − 4
C. 1, 3, 0, −4; x^2 + 3x − 4
D. 1, 1, −6, −4; x^3 + 3x^2 − 4
The correct values to replace will be 2, 6, 0, and − 8 and the quotient is x³ + 3x² − 4. Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
P(x) = x⁴ + x³ − 6x² − 4x + 8
P(x) = 1x⁴ + 1x³ − 6x² − 4x + 8
By the synthetic division, we have
2 ║ 1 1 − 6 − 4 8
2 6 0 − 8
1 3 0 − 4 0
x³ 3x² − 4
By the synthetic division, the correct values to replace will be 2, 6, 0, and − 8 and the quotient is x³ + 3x² − 4. Then the correct option is B.
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Am i right 73 points and no spamming
Enter the missing numbers in the boxes to complete the table of equivalent ratios
Answer:
yep
Step-by-step explanation:
ya you are right width is +5 and length is +2
please help me with my math
\( \sf{\qquad\qquad\huge\underline{{\sf Answer}}} \)
Let's solve for y and z ~
\(\qquad \sf \dashrightarrow \: z + 61 = 180\)
[ Co- interior angle pair ]
\(\qquad \sf \dashrightarrow \: z = 180 - 61\)
\(\qquad \sf \dashrightarrow \: z = 119 \degree\)
now,
\(\qquad \sf \dashrightarrow \: 5y + 14 = 119\)
[ by Alternate interior angle pair ]
\(\qquad \sf \dashrightarrow \: 5y = 119 - 14\)
\(\qquad \sf \dashrightarrow \: 5y = 105\)
\(\qquad \sf \dashrightarrow \: y = 21 °\)
The price of a dress is reduced by 17% in a sale. The sale price is £45.65. What was the original price of the dress?
Answer:
\(\Huge \boxed{\£55}\)
________________________________________________________
A 17% reduction means that the dress cost 83% (100 - 17) of the original amount.
Unitary Method\(\large \fbox{\begin{minipage}{8.1 cm}83\% of the original price = \£45.65\\\\$\Rightarrow$1\% of the original price = $\frac{45.65}{83}$\\\\$\Rightarrow$1\% of the original price = 0.55\\\\$\Rightarrow$100\% of the original price = 0.55 \times 100\\\\$\Rightarrow$100\% \text{ of the original price = \£55}\end{minipage}}\)
Inverse operationTo work out 83% of the original price, you multiply by 0.83. We can do the inverse, which is dividing by 0.83.
×0.83
Original Price →→→→→→→→→→→→→ Sale Price
£? ←←←←←←←←←←←←← £45.65
÷0.83
\(\large \boxed{\begin{minipage}{7 cm}Original Price = $\frac{\text{Sale Price}}{0.83}$\\\\$\Rightarrow$Original Price = $\frac{45.65}{0.83}$\\\\$\Rightarrow$Original Price = \£55\end{minipage}}\)
Therefore, the original price of the dress is £55.
________________________________________________________
consider the following discrete probability distribution. x −10 0 10 20 p(x = x) 0.35 0.10 0.15 0.40 what is the probability that x is less than 5?
The probability that x is less than 5 = 0.45
Discrete probability distribution:
It is a type of probability distribution that displays all the possible values of a discrete random variable accompanying the affiliated probabilities. We can also say that a discrete probability distribution provides the chance of occurrence of every possible value of a discrete random variable.
Discrete probability distribution:
x = -10 0 10 20
P(X=x) = 0.35 0.10 0.15 0.40
The probability that x is less than 5:
P(X<5) = 1 - P (X = 10) - P(X= 20)
1 - 0.15 - 0.40 = 0.45
The probability that x is less than 5 is = 0.45
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in a bag of apples and oranges the ratio of apples to oranges is 4 : 3 if the bag has 70 apples and oranges how many oranges are there
Answer:
30 oranges
Step-by-step explanation:
apples = 4x
oranges = 3x
4x + 3x = 70
7x = 70
x = 10
3x = 3(10) = 30
(3) Use cylindrical coordinates to evaluate JSS √² + y² dv, E where E is the region inside the cylinder (x-1)² + y² = 1 and between the planes z = -1 and z = 1. [5]
The value of the integral ∫∫∫E √(x² + y²) dv in cylindrical coordinates is 5.
To evaluate the given integral, we can use cylindrical coordinates, which are defined by the radial distance ρ, the azimuthal angle φ, and the height z.
The region E is described as the space inside the cylinder (x - 1)² + y² = 1 and between the planes z = -1 and z = 1. In cylindrical coordinates, the equation of the cylinder becomes ρ² = 1, which represents a cylinder of radius 1 centered along the z-axis. The limits for the variables are ρ = 0 to ρ = 1, φ = 0 to φ = 2π, and z = -1 to z = 1.
The integrand is √(x² + y²), which in cylindrical coordinates becomes ρ. Therefore, the integral can be rewritten as ∫∫∫E ρ dv.
Using cylindrical coordinates, the volume element dv is ρ dρ dφ dz.
Integrating with respect to ρ, φ, and z over their respective limits, we get:
∫∫∫E ρ dv = ∫[φ=0 to 2π] ∫[ρ=0 to 1] ∫[z=-1 to 1] ρ ρ dρ dφ dz.
Integrating ρ with respect to ρ gives (ρ²/2), and evaluating it from 0 to 1 gives (1/2 - 0) = 1/2.
Integrating the remaining terms with respect to their respective variables gives 2π for φ and 2 for z.
Therefore, the final result of the integral is (1/2) * 2π * 2 = 5.
Hence, the value of the integral ∫∫∫E √(x² + y²) dv in cylindrical coordinates is 5.
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A car can travel 210 miles on 8 gallons of gas. Which equation best represents the linear relationship between x, the number of gallons of gas, and y, the total distance the car can travel?
A. x = 30y
B. x = 3y
C. y = 26.25x
D. y = 22.65x
Answer:
D
Step-by-step explanation:
I x2 − 1 a factor of P(x) = 2x4 7? If it i, write P(x) a a product of two factor
x² − 1 is not a factor of P(x) = 2x⁴ + 7.
Factor Theorem:
The point of the factor theorem is the inverse of the remainder theorem. If we divide a polynomial by x = a globally and the remainder is zero, then not only is x = a a root of the polynomial (courtesy of the Remainder Theorem), but x − a is also a factor of the polynomial (Factor Theorem courtesy of ).
According to the factor theorem, (y – a) can be considered as a factor of a polynomial g(y) of degree n ≥ 1 if and only if g(a) = 0. where a is any real number. The factor set formula is g(y) = (y – a) q(y). It is important to note that all of the following apply to any polynomial g(y).
(y - a) are the factors of g(y).g(a) = 0.Dividing g(y) by (y – a) gives zero remainder.The solution of g(y) = 0 is a and the zero of the function g(y) is a.According to the Question:
P(x) = 2x⁴+ 7 > 0 for any real x, so it has not real zeros. Because P(x) has not factor x² - 1 = (x + 1)(x -1) what has real zeros 1 and - 1.
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Greta is taking a road trip from Cincinnati to San Francisco. On the first day, she drove 650 miles in 10 hours. On the second day, she got a later start and drove 540 miles in 8 hours. How many miles per hour faster was her average speed the second day? Write your answer as a decimal or a whole number.
Given:
On the first day, she drove 650 miles in 10 hours.
On the second day, she got a later start and drove 540 miles in 8 hours.
To find:
Difference between average speed of second day and first day.
Solution:
We know that,
\(Speed=\dfrac{Distance}{Time}\)
On the first day, she drove 650 miles in 10 hours. So, the average speed is
\(Speed=\dfrac{650}{10}\)
\(Speed=65\)
So, the average speed on first day is 65 miles per hour.
On the second day, she got a later start and drove 540 miles in 8 hours.
\(Speed=\dfrac{540}{8}\)
\(Speed=67.5\)
So, the average speed on second day is 67.5 miles per hour.
Difference between average speed is
\(67.5-65=2.5\)
Therefore, the average speed on the second day is 2.5 miles per hour is faster than first day.
if 9^(2x-1)=81^(x-2)/3^x find x
The answer is to your question is x=-6
-4×(-2)[2×(-6)+3×(2×6-4-4)]
\(\large{\underline {\underline {\frak {SolutioN:-}}}}\)
➝ -4 × (-2) [2 × (-6)+ 3×(2×6-4-4) ]
➝ -4 × (-2) [2 × (-6) + 3 × (12-4-4) ]
➝ -4 × (-2) [2 × (-6) + 3 × (12-8) ]
➝ -4 × (-2) [2 × (-6) + 3 × (4) ]
➝ -4 × (-2) [2 × (-6) + 12 ]
➝ -4 × (-2) [(-12) + 12 ]
➝ -4 × (-2) [0]
➝ -4 × 0
➝ 0
Answer:
-4*-2
Step-by-step explanation:
the multiple of both side is 4*2*,26+*32*--=6 44
3x+7*4x-9 i need to find the fraction
Hello!☺
\(Answer:\boxed{31x-9}\)
\(Explanation:\)
\(3x+7\times4x-9\)
Let's start off by simplifying:
\(3x+28x+-9\)
Now combine like terms:
\((3x+28x)+(-9)\\31x-9\)
\(31x-9\) is your answer.
Hope this helps!☺
If the serial number 1207 is a Tuesday, what day of the week would serial number 1210 be?
Monday
Tuesday
Friday
Saturday
What is the result of this formula in hours and minutes?
1:30
2:00
2:03
2:30
Which date will the formula =DATE(2017,7,2) return?
July 2, 2027
February 7, 2017
February 2, 2017
July 2, 2017
To find the difference between two dates listed in years instead of days, use the _____ function.
YEAR
DATE
EDATE
YEARFRAC
Which of these is FALSE regarding the Conditional Formatting Rules Manager?
It allows you to create, edit, and delete rules.
You can rearrange the order of rules after they’ve been created.
You can’t edit conditional rules, but you can delete them and then create new ones.
It allows you to view rules for a selection of cells or the entire worksheet.
The Difference column is calculated as budget minus actual amount. If the actual rent increases to 26,000, which conditional formatting graphics will change?
Actual
Budget
Both Actual and Budget
Both Actual and Difference
1. If the serial number 1207 is a Tuesday, the serial number 1210 would be on Friday.
2. The result of the formula "1:30" is 1 hour and 30 minutes.
3. The formula =DATE(2017,7,2) will return July 2, 2017.
4. To find the difference between two dates listed in years instead of days, use the YEARFRAC function.
5. The statement "You can’t edit conditional rules, but you can delete them and then create new ones" is FALSE regarding the Conditional Formatting Rules Manager.
6. If the actual rent increases to 26,000, both the Actual and Difference conditional formatting graphics will change.
1. By considering the days of the week in order, serial number 1210 would be on Friday, as it follows the pattern of consecutive days.
2. The formula "1:30" represents 1 hour and 30 minutes.
3. The formula =DATE(2017,7,2) specifies the date as July 2, 2017.
4. The function YEARFRAC is used to find the difference between two dates in years, taking into account fractional parts of a year.
5. The Conditional Formatting Rules Manager allows you to create, edit, and delete rules. You can edit conditional rules by selecting them and making the necessary changes.
6. If the actual rent increases to 26,000, both the Actual and Difference conditional formatting graphics will change, as the Difference column is calculated as budget minus actual amount, and any change in the actual rent would affect both values.
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What is the factored form of 8x²-36x-20?
Answer:
(4x + 2)( 2x - 10)
Step-by-step explanation:
Answer:
(8x+4) ( x-5)
Step-by-step explanation:
Well we can't factor out the 8 and solve because if we do the -20 and -36 will be decimals.
So we do this
8 * -20 = -160
We need to find 2 number that multiplies to -160 and adds to -36
-40 and 4 fit this category
they add to -36 and multiply to -160
Now we write the equation as
8x^2 - 40x + 4x -20
(8x^2-40x) (4x-20)
8x(x-5) + 4(x-5)
(8x+4) ( x-5)
Suppose you have a population with mean 25 and standard deviation 20. You take samples of size 100 and consider the distribution of the means of those samples. What is the mean of the sample means?.
The value of the z-score for the sample mean is estimated as 0.5.
What is meant by the term z-score?A Z-score is a statistical assessment that explains a value's relationship to a mean of a group of values. The Z-score is measured in aspects of standard deviations from a mean. A Z-score of zero indicates that the information point's score is the same as the mean score.As per the stated question;
The formula for calculating the z-score is;
z = (x - μ)/σ
x = sample size
μ = population mean
σ = standard deviation population.
The vales given in the question;
μ = 25σ = 20x = 35Substitute the value in the z-score.
z = (35 - 25)/20
z = 10/20
z = 0.5
Thus, the value of the z-score for the sample mean is estimated as 0.5.
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The correct question is-
Suppose you have a population with mean 25 and standard deviation 20. You take samples of size 100 and consider the distribution of the means of those samples. What is the z-score for the of the sample means for the sample less than 35?.
Which equation represents the following problem?
Fifteen minus three times a number equals negative twenty-two. Find the number.
A 3n - 15 = -22
B 15-3n = -22
D 3(n-15) = -22
3(15-n) = -22
OA
OB
Oc
D
Answer:
B 15-3n = -22
Step-by-step explanation:
See attached worksheet.
EX24) 29 du Use the chain rule to find the indicated derivative. og, where du g(u, v) = f(x(u, v),y(u, v)), f(x,y) = 7x³y³.x(u, v) = ucosv, y(u, v) = usiny = 56u² cos v sin³ v
∂g/∂u is equal to 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v)).
To find the indicated derivative, we need to use the chain rule. Let's differentiate step by step:
Given:
g(u, v) = f(x(u, v), y(u, v))
f(x, y) = 7x³y³
x(u, v) = ucos(v)
y(u, v) = usin(v)
To find ∂g/∂u, we differentiate g(u, v) with respect to u while treating v as a constant:
∂g/∂u = (∂f/∂x) * (∂x/∂u) + (∂f/∂y) * (∂y/∂u)
To find ∂f/∂x, we differentiate f(x, y) with respect to x:
∂f/∂x = 21x²y³
To find ∂x/∂u, we differentiate x(u, v) with respect to u:
∂x/∂u = cos(v)
To find ∂f/∂y, we differentiate f(x, y) with respect to y:
∂f/∂y = 21x³y²
To find ∂y/∂u, we differentiate y(u, v) with respect to u:
∂y/∂u = sin(v)
Now, we can substitute these partial derivatives into the equation for ∂g/∂u:
∂g/∂u = (21x²y³) * (cos(v)) + (21x³y²) * (sin(v))
To find the simplified form, we substitute the given values of x(u, v) and y(u, v) into the equation:
x(u, v) = ucos(v) = u * cos(v)
y(u, v) = usin(v) = u * sin(v)
∂g/∂u = (21(u * cos(v))²(u * sin(v))³) * (cos(v)) + (21(u * cos(v))³(u * sin(v))²) * (sin(v))
Simplifying further, we get:
∂g/∂u = 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v))
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Larry purchased a bottle of nail polish for $1.19. The cashier gave Larry $4.03 in change. How much money did Larry give the cashier?
Answer:
$5.22
Step-by-step explanation:
If you are looking for the whole, you need to add the two parts together.
1.19+4.03 = 5.22
Answer:
Larry gave the cashier $5.22.
Step-by-step explanation:
Add the cost of the bottle of nail polish (1.19) and how much Larry received in returned (4.03) togother
4.03
+
1.19
9 + 3 = 12, carry over the one.
1 + 1 = 2.
4+ 1 = 5
522
Move the decimal place twice to the left.
5.22
To check your answer, subtract 5.22 and 1.19.
If the cone’s radius is 1/2 what is its height
The term "directrix" refers to the circumference of a cone's base, and "generatrix" or "generating line" refers to each line segment between the directrix and apex.
What is the parameter for cone radius calculation?(For a relationship between the directrix of a conic section and the name "directrix" in this sense, see Dandelin spheres.
A cone's volume is equal to one-third of the sum of the base's area and the cone's height. Cubic units are used to measure volume.
A cone's radius affects how tall it is. A cone with a radius of 1 /2 has a height of 0.26. Volume is the amount of space that is occupied by a three-dimensional object.
A cone's volume (V) is determined by:
V = (1/3)πr²h
Where r is the radius and h is the height.
For a radius of 1/2:
=(1/3)π*(1/2)²*h
=(1/3)(22/77)(1/4)h
=0.26
Therefore, its height is 0.26.
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2. Between which two weeks did the plant grow the least?
Answer:Probably the first week
Step-by-step explanation: It takes a while for a seed to get used to the dirt around it
5. 37°. If maN = (13x)° what is the value of x and the maN?
The value of x is approximately 2.8462° and the value of maN is 37°.
To find the value of x and maN, we need to use the given information. According to the question, maN is equal to (13x)°.
To solve for x, we can set up an equation:
maN = (13x)°
Now, since we know that maN is equal to 37°, we can substitute this value into the equation:
37° = (13x)°
To isolate x, we divide both sides of the equation by 13:
37° / 13 = (13x)° / 13
This simplifies to:
2.8462° ≈ x°
Therefore, the value of x is approximately 2.8462°.
Now, let's find the value of maN. We already know that maN is equal to (13x)°. Substituting the value of x that we just found, we get:
maN = (13 * 2.8462)°
Simplifying the multiplication:
maN = 37°
So, the value of maN is 37°.
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How many groups of 5 can go into 900
Answer:
Your answer is 180
Step-by-step explanation:
180 x 5 = 900
How do you make a table of values for a linear relationship?
To make a table of values for a linear relationship;
Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value
Given,
Linear relationship;
A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.
Here,
We have to make a table of values for a linear relationship;
Make the table and select a range of x values. Fill in the equation with each x value from the left side column. To determine the y value, evaluate the equation in the middle column.Since the table of values really only contains x and y pairs, you can choose to omit the middle column from your table as an optional step.Learn more about linear relationship here;
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Write the given equation in slope intercept form x-6y=0
Minimizing Surface Area:
(i) Of all boxes with a square base and a fixed volume V, which one has the minimum surface area As? (Give its dimensions in terms of V.)
(ii) Let V = 1000 meters cubed and give the dimensions using your solution in part (i).
(iii) Sketch the surface area function A that was minimized in part (i). Use a reasonable domain. Label axes appropriately, including units.
To minimize the surface area of a box with a square base and a fixed volume V, its dimensions should be x = y = z = (V¹/³). For V = 1000 meters cubed, the dimensions are x = y = z = 10 meters.
To minimize the surface area, we can use the formula for the surface area of a box with a square base: A = 2x² + 4xy, where x = y (square base) and z = V/x². Differentiating A with respect to x and setting the derivative equal to zero, we find the critical points.
A' = 4x - 4V/x³. Setting A' = 0, we get 4x = 4V/x³, and x⁴ = V, so x = (V¹/³). Since x = y, the dimensions are x = y = z = (V¹/³).
For part (ii), let V = 1000 meters cubed. Then, the dimensions are x = y = z = (1000)¹/³ = 10 meters.
For part (iii), sketch the surface area function A(x) = 2x²+ 4x(V/x²) with a reasonable domain, such as [1, 20] meters for x-axis and [300, 2500] meters squared for the y-axis. Label axes appropriately, including units.
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Determine if the ordered pairs are a function
[(1,3) (-1,3) (0,7) (2,5)]
Yes No
Answer:
Yes
Step-by-step explanation:
It is a function because the x's are not repeating.
The x's are 1, -1, 0, and 2. They are not repeating.
Remember it is a function if the x's don't repeat.
Hope this helps ya!!