Emma needs 8 seed packets to grow 16 plants.
What is unitary method?
The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. Finding the value of a single unit using the unitary technique, then extrapolating from this value.
Given that,
Emma grew 6 plants with 3 seed packets.
To grow 6 plants Emma needs 3 seed packets.
Applying unitary method:
To grow 1 plants Emma needs 3/6 seed packets.
To grow 16plants Emma needs (3 × 16)/6 seed packets.
= 8 seed packets.
The unitary method is used to unite rate.
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the amount of money you spend on coffees every month can be calculated as a function of the number of drinks you order every month. what are the independent and dependent variables in this function?
The independent and dependent variables in this function are order p Variable
Mathematically, discrete random variables are stated to be impartial if: P(X=x, Y=y) = P(X=x) P(Y=y), for all x,y. Intuitively, for impartial random variables understanding the price of one in every of them, does now no longer extrade the chances of the opposite. The impartial variable is the cause. Its price is impartial of different variables for your study.
The structured variable is the effect. Its price relies upon on adjustments withinside the impartial variable.An impartial variable is precisely what it sounds like. It is a variable that stands on my own and isn't always modified with the aid of using the opposite variables you are attempting to measure. For example, a persons age is probably an impartial variable.
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Find the inverse of the following function. f(x) 8√ x for x > 0
Answer: The inverse of a function is found by switching the positions of the input and output values in the function. For example, if the function is f(x) = 2x, the inverse would be f<sup>-1</sup>(x) = x/2.
In the case of the given function, f(x) = 8√ x, the inverse can be found by switching the positions of the input and output values. This gives us f<sup>-1</sup>(x) = √ x/8. This means that if x is the input value, the output value will be √ x/8. Note that the domain of the inverse function is the range of the original function, and the range of the inverse function is the domain of the original function. In this case, the domain of f<sup>-1</sup>(x) is [0, ∞) and the range is [0, ∞), since these are the range and domain of the original function.
Here is the complete inverse function:
f<sup>-1</sup>(x) = √ x/8 for x > 0.
Graph Y= -1/4 x + 6.
The x-intercept and y-intercept of the line will be at (24, 0) and (0, 6). And the line is drawn below.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
x/a + y/b = 1
Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.
The linear equation is given below.
y = -(1/4)x + 6
Convert the equation into intercept form, then we have
y = -(1/4)x + 6
4y = - x + 24
x + 4y = 24
x / 24 + y / 6 = 1
The x-catch and y-capture of the line will be at (24, 0) and (0, 6) and the line is drawn underneath.
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y= 1/2x + 1
y=-x + 7
Answer: point form: (4,3) equation form: x=4 y=3
Step-by-step explanation:
Sam is using these numbers to make a new
number.
12
1
1
4
7
He can only use brackets, +, -, x, ÷ once.
He cannot use any number more than once.
He cannot use powers.
He cannot put numbers together
e.g. he cannot use '147'.
What is the biggest number he can make?
Show how he can make this number.
Answer:
87
Step-by-step explanation:
12x7+4-1/1
Answer: 741
Step-by-step explanation:
The biggest number Sam can make is 741. He can make this number by using the brackets and the division symbol: (12 + 1 + 1) / 4 = 741.
Inequality
x + y > 11
.05x + .10y < .95
the inequality model will be x+2y<19
What is inequality?
Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.
x + y > 11
.05x + .10y < .95
by multiplying 20 in inequality we get x+2y<19
Hence, the inequality model will be x+2y<19
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Zehra owns a bakery and is getting ready for the Thanksgiving rush. She needs to stock up on pumpkin pie filler to be able to meet demand, so she begins buying a constant number of cans of pumpkin pie filler per week. After 5 weeks, she has 29 cans. After 9 weeks, she has 57 cans. How many cans is she buying per week?
Based on the rate of change, Zehra is buying 7 cans per week.
What is the rate of change?The rate of change gives the ratio between the change in one quantity to the change in another quantity.
Linear relationships have a constant rate of change and the rate of change is usually represented as the slope or gradient.
For instance, the number of cans changed from 29 to 57, a difference of 28, as the number of weeks changed from 5 to 9, a difference of 4.
The rate of change can be expressed as 28/4 or 7.
The number of cans after 5 weeks = 29
The number of cans after 9 weeks = 57
The change in weeks = 4 (9 - 5)
The change in the number of cans = 28 (57 - 29)
The rate of change = 7 (28/4)
Thus, we can conclude that Zehra buys 7 cans weekly.
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If you roll a fair die, what is the probability you will roll a 5 or a number less than 3?
Answer:
1/2
Step-by-step explanation:
Since 5 is one of the six possible numbers available, rolling a 5 is a 1/6 probability.
Since rolling a number less than 3 means rolling a 1 or 2, rolling a 1 or 2 is a 2/6 probability.
Add those probabilities up since you can get either of those outcomes and you get 1/6+2/6=3/6
3/6=1/2
if a point is characterized as having both a nonzero x and y coordinate and oppositely signed coordinates, then the point must be in which of the labeled quadrants in the standard xy coordinate plane?
The labeled quadrants in the standard xy coordinate plane is Quadrant II
What is Quadrants?
The intersection of the x-axis (the horizontal number line) and the y-axis in the cartesian system divides the coordinate plane into four equal pieces (the vertical number line). Because each of these four areas occupies a quarter of the entire coordinate plane, they are collectively referred to as quadrants.
Concept:
The x and y coordinates are both positive in quadrant I. In quadrant II, the x and y coordinates are oppositely positive. The x and y coordinates are both negative in quadrant III. The x-coordinate is positive and the y-coordinate is negative in quadrant IV.
The origin, or the point where the x- and y-axes connect, is where both the x and y coordinates are zero (0, 0).
The point is in the first quadrant if both x and y are positive. If both x and y are negative, the point will be in the second quadrant. In the third quadrant if both x and y are negatives, the point is located.
The labeled quadrants in the standard xy coordinate plane is Quadrant II
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Enter the measurement of the vehicle part.
Answer:
2 1/4
Step-by-step explanation:
I know bc its basic math
1. Which of the following is equivalent to 5a³ + 4a³??
O (5+4) a³+3
O (5+4) a³
(5.4) a³+3
O (5.4) a³
ہے
The equivalent to 5a³ + 4a³ is (5+4) a³, according to the question.
What do you mean by Equivalent ?
Equivalent refers to the mathematical notion that distinct terms and expressions having a similar value are treated equally.
According to the given question,
We have the given options are:
O (5+4) a³+3
O (5+4) a³
O (5.4) a³+3
O (5.4) a³
Now, we will find the equivalent,
5a³ + 4a³
Then, we will taking common factor from the given equation:
5a³ + 4a³
= a³(5+4)
So that is same as (5+4)a³.
Therefore, the equivalent to 5a³ + 4a³ is (5+4) a³.
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Frank gets a Lamborghini for Christmas from Bill Nye for $225,000. Frank crashes the Lamborghini and survives. But his car is damaged. His repairs will cost 55% of the original price, but 30% of the price is covered by insurance. How much money does Frank owe?
Answer: Frank has to pay 56,250 dollars
Step-by-step explanation: If Frank's repair costs 55% of the original price, that means he'll have to pay 123,750 dollars because 55% of 225,000 is 123,750. But he doesn't have to pay that amount because the car insurance is paying 30% of 225,000 which is 67,500 dollars. So the car insurance is paying 67,500 dollars out of the 123,750 dollars in damage. So you'll have the subtract 123,750 by 67,500 which is 56,250 dollars.
Solve the inequality, show all of your work: -5x + 2 > 37
Answer:
[tex]x < -7[/tex]
Step-by-step explanation:
First subtract 2 from both sides.
[tex]-5x+2-2 > 37-2[/tex]
[tex]-5x > 35[/tex]
Then divide both sides by -5.
[tex]\frac{-5x}{-5} > \frac{35}{-5}[/tex]
For x < - 7, the inequality {- 5x + 2 > 37} is satisfied.
What are inequalities?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.It is used most often to compare two numbers on the number line by their sizeGiven is the inequality as follows -
- 5x + 2 > 37
The given inequality is -
- 5x + 2 > 37
- 5x + 2 > 37
- 5x + 2 - 2 > 37 - 2
- 5x > 35
x < - 7
Therefore, for x < - 7, the inequality {- 5x + 2 > 37} is satisfied.
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If a plane can travel 480 miles per hour with the wind and 380 miles per hours against the wind, find the speed of the wind and the speed of the plane in still air
Answer:
Step-by-step explanation:
I am not super sure about this one
If f(x) = 3x-1 and g(x) = x^2+2, what is (f ° g)(x)?
Answer:
(f ○ g)(x) = 3x² + 5
Step-by-step explanation:
substitute x = g(x) into f(x) , that is
(f ○ g)(x)
= f(g(x))
= f(x² + 2)
= 3(x² + 2) - 1
= 3x² + 6 - 1
= 3x² + 5
How can we use the formula M= 58h + 135 to determine the mile marker that Sam passed at hour 6
Sam passed the marker of 483 miles, in 6 hours.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
An expression is given as M = 58h + 135. shows how many miles the same has traveled for h hours,
To evaluate the mile marker that sam passed at 6 hours, substitute the value with h in a given expression.
M = 58×6 +135
Simplifying the above expression gives the mile marker
M = 483 miles
Thus, the required miles are 483.
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rugged cabin co. provides pre-made materials to build cabins. to ensure materials are in supply and ready for quick delivery, the company offers cabins in only three sizes. each cabin has rectangular floor plan where the length is equal to 5 feet more than twice the width. which expression represents the area, in square feet, for each cabin size?
a. 2w^2+5W,where w is the width
b. 2w^2+5,where w is the width
c. 2w^2,where w is the width
d. 10w^2,where w is the width
The carbinet has rectangular floor plan where the length is equal to 5 feet more than twice the width. The the expression that represents the area in square feet is Option B 2w²+5. ∧where w is the width
How to calculate Area of rectangle?The area of the rectangle is the floor space the rectangle can occupy at a given time.
The given parameters are
L= 2w+5
The width = w
Then area is given by the formula
A=L*W
A=2w*w+5
Simplify the expression you have
A=2w²+5 where w is the width
Therefore the area is b. 2w²+5, where w is the width
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what is the z-score of a value 20 from a binomial distribution with 50 trials and probability 0.76 of success? round your answer to three decimal places. incorrect answer:
z-score of a value is -5.96
What is z-score in binomial distribution?
The Z score represents the number of standard deviations above or below the mean. The Z score of the mean is 0 by definition.
What is Probability?
The area of mathematics known as probability explores potential outcomes of events as well as their relative probabilities and distributions.
Given,
A random variable, let's call it X, has parameters that fit the Binomial distribution: n (number of trials) = 50 and p (success probability) 0.76.
We must ascertain the z-score (Z) of the value 20 = that this random variable X has chosen.
Now, for a random variable, say X, its z-score (Z) is defined as ,
Z = (X - mean of X)/ Standard deviation of X
A binomial random variable with the parameters once more n and p, its mean is given as np and its standard deviation is given as [tex]\sqrt{n*p*(1-p)}[/tex]
The standard deviation of X is provided as [tex]\sqrt{50*0.76*0.24}[/tex] = [tex]\sqrt{9.12}[/tex] = 3.0199933 while the mean of X is given as 50*0.76 = 38.
Therefore, the required z-score (Z) for X = 20, is given as,
Z = 20-38/3.0199933
Z= -5.9602781238
Z= -5.96 that is the necessary z-score.
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If 1.5 liters of washing up liquid is 2.70$ find the cost of 1 liter
The cost of one liter of washing up liquid would be = $1.8
What is liters?Liters is a variable that is can be used to denote the measurement of a liquid.
The quantity of the washing up liquid that was given= 1.5 liters.
The cost of 1.5 liters of washing up liquid =$2.70
If 1.5 L = 2.70
1 L = X
Make X the subject of formula;
X = 1× 2.70/1.5
X = $1.8
Therefore, the cost of one liter of washing up liquid would be = $1.8
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Identify the rate of decay r (as a percent) of the exponential function f(x) = 0.3(0.82)^x
a. r = 30%
b. r = 18%
c. r = 70%
d. r = 82%
Answer:
b. r = 18%
Step-by-step explanation:
0.3(0.82)^x:
0.3(0.82)^x:
The 0.82 is getting affected since it is raised to the power of x
Hence, for every iteration of x, the object is becoming 82% of itself.
100%-82%=18%
r = 18% ==> b
Option B is correct, 18% is the rate of decay of the exponential function f(x) = 0.3(0.82)ˣ
What is a function?A relation is a function if it has only One y-value for each x-value.
The exponential function f(x) = 0.3(0.82)^x can be written in the form f(x) = a(b)ˣ, where a = 0.3 and b = 0.82.
In an exponential function of the form f(x) = a(b)ˣ
the base b represents the rate of change.
If b is between 0 and 1, then the function represents exponential decay. The rate of decay r can be found using the formula:
r = (1 - b) x 100%
In this case, b = 0.82, so the rate of decay is:
r = (1 - 0.82) x 100%
= 0.18 x 100%
= 18%
Hence, option B is correct, 18% is the rate of decay of the exponential function f(x) = 0.3(0.82)ˣ
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A music store marks up the instruments it sells by 50%. If the mark up price on the trumpet was $120, what was the ORIGINAL PRICE of the instrument?
The original price of the instrument is $60.
Discount Price:
50% of 120 = 50/100 * 120
= 0.5 * 120
= 60
Original Price = Sale Price - Discount Price
= 120 - 60
= 60
Therefore, the original price of the instrument is $60.
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What does y equal, in this picture with 30 60 90 triangles?
The value of y= 5.49≈ 5.5cm
What is 30-60-90 traingle?
The 30-60-90 triangle is cut straight through the middle along its altitude, like one half of an equilateral triangle. Its name is derived from its three angles of 30 degrees, 60 degrees, and 90 degrees. Any triangle with angles of 30-60-90 will look like this: The hypotenuse is always twice as long as the shortest leg, and the length of the long leg can be calculated by multiplying the short leg by the square root of three. The shortest leg is across from the 30-degree angle.
By 30-60-90 triangle rule,
Side across 60° angle = x
Hypotenuse side = 2x= 15
Side across 30° angle = x√3
By solving,
2x= 15
x= 7.5cm
So side across 60° angle= 7.5 cm
Side across 30° angle = 7.5×√3
= 7.5× 1.732= 12.99≈ 13cm
As the figure given us square so,
13= 7.5+y
y= 13-7.5
y= 5.5 cm
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Which of the following represents the least value?
1/3 of 1,212
1/5 of 1,212
25% of 1,212
30% of 1,212
Answer:
1/5 of 1,212
Step-by-step explanation:
Note that 25% = 1/4 and 30% = 3/10.
The least value is achieved when we take the smallest fraction, which is 1/5.
Answer:
1/5 of 1212 is the smallest value
Step-by-step explanation:
if we convert 25% to a fraction we have 1/4
if we convert 30% to a fraction we have 3/10
now we convert each of the four fractions into equivalent fractions using lowest common denominator of 60
1/3 = 20/60
1/5 = 12/60
1/4 = 15/60
3/10 = 18/60
the smallest fraction is 12/60, or 1/5
therefore 1/5 of 1212 is the smallest value
Write and equation of the line in slope-intercept form. (0,-2) (1,3)
Answer:
y=5x−2
I hope this helps!
Sin 30° x tan 60° in simplest form
The simplest form of Sin 30° x tan 60° is √3/2 or sin 60° or cos 30°.
What are trigonometry ratios?
Trigonometric By definition, ratios are the values of all trigonometric functions based on the right-angled triangle's side ratio. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.
Three common trigonometric ratios are the sine (sin), cosine (cos), and tangent (tan).
Given that the trigonometry function is
sin 30° x tan 60°
Putting sin 30° = 1/2 and tan 60° = √3
= (1/2) ×√3
= (1/2) ×(√3/1)
Now multiply the denominators and numerators:
= √3/2
Putting √3/2 = sin 60°
= sin 60°
Again sin 60° = cos 30°
= cos 30°
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fast as you can. point slope form. algebra 1)
Answer: Y=mx+b
Step-by-step explanation:
▲DEF has vertices D (-2 ,1 ), E (2,4), and F (3,1) and is dilated by a factor of 3 using the point (1,1) as the point of dilation. The dilated triangle is names ▲D'E'F'.
If your answer is useless then don't answer because last time someone typed random stuff and I was left answerless.
The dilated triangle is names ▲D'E'F' ,
Vertex D' → ( -8, 1)
Vertex E' → (4, 10)
Vertex F' → (7, 1)
What is dilation ?
Reducing the object's size by dilation is a change. The items are enlarged or shrunk through dilation. An image that retains the original shape is created by this alteration. The size of the form does differ, though. A dilatation should either enlarge or decrease the initial form. By using the phrase "scaling factor," this transition is described.
Enlargement is the name given to a dilatation that results in a larger image.
Reduction is what happens when a dilatation results in a smaller picture.
According to question
Since the center of dilation is not at the origin, we can use the following formula in order to find the coordinates of the vertices of the triangle D'E'F':
[tex]D_{(O,k)}(x,y) = (k(x-a) +a, k(y-b) +b)[/tex]
Where "O" is the center of dilation at (a,b) and "k" is the scale factor.
In this case you can identify that:
(a,b) = (1,1)
k = 3
Therefore, susbtituting values into the formula shown above, you get that the coordinates ot the resulting triangle D'E'F, are the following:
Vertex D' → [tex](3(-2-1) +1, 3(1-1) +1) = (-8, 1)[/tex]
Vertex E' → [tex](3(2-1) +1, 3(4-1) +1) =(4,10)[/tex]
Vertex F' →[tex](3(3-1) +1, 3(1-1) +1) =(7,1)[/tex]
hence the vertex of ▲D'E'F' are (D' → ( -8, 1), E' → (4, 10), F' → (7, 1).)
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Michael is building a skateboard
ramp. The ramp needs to include a
right angle to be safe. If the side
lengths are 10 feet, 2.5 feet, and 10.5
feet, will the ramp be safe? Prove
your answer with an inequality.
Given that the side lengths of the ramp are 10 feet, 2.5 feet, and 10.5 feet.
We know that for making a right angle A Pythagoras triplet must follow
So, a² + b² = c²
Where a, b, c are the lengths of the triangle and a, b <=c
So, on applying the above formula
We have,
2.5² + 10² = 10.5²
6.25 + 100 = 110.25
But 106.25 is not equal to 110.25
So all these sides are not good for making the ramp safe.
There are three types of the triangle based on angle -
1. Acute angled triangle
2. Right-angled triangle
3. Obtuse angled triangle
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A) Q''(−5, 6), R''(−2, 1), S''(1, 5)
B) Q''(7, 11), R''(10, 16), S''(13, 12)
C) Q''(−5, 2), R''(−2, 7), S''(1, 3)
D) Q''(13, 2), R''(10, 7), S''(7, 3)
The correct answer is C.
the table shows the number of stickers three friends have, Hannah has fewer stickers than Marco but more stickers than Addison. how many stickers could Hannah have?
