purab bought twice the number of rose plants that he had in his lawn. however, he threw 3 plants as they turned bad. after he planted new plants, there were total 48 plants in the garden. how many plants he had in his lawn earlier?​

Answer:

c) f(x)=3x+1

Step-by-step explanation:

the graph of this function, g(x), is y=3x-1, we know this because the slope is 3 and the y intercept is -1.

finding slope:

subtract the y values and x values and then divide.

y2-y1/x2-x1=2+1/1-0

=3/1

slope=3

finding the y intercept:

more of a visual task, find where the line intersects on the y axis. in this case, it is at -1

plug it in:

next all you have to do is plug this into slope intercept form (y=mx+b), where m is slope and b is y intercept.

y=3x-1

making f(x) from g(x):

all you have to do is add 2 to the y intercept because the question says f(x) is 2 units above g(x).

y=3x-1+2

y=3x+1

hope this helps!

Answer:

49.5ft³

Step-by-step explanation:

If it is 2 ft more than 3 times as long as it is wide then:

l = 3w + 2

which means:

w = (l-2)/3

and:

d = 1/2((l-2)/3)

Now just substitute in 11 for l

w = (11 - 2)/3

w = 9/3

w = 3

d = 1/2((11-2)/3)

d = 1/2(9/3)

d = 1/2(3)

d = 1.5

So the total volume is:

11 * 3 * 1.5

49.5

In the analysis of variance procedure (ANOVA), "factor" refers to the independent variable(b).

In the analysis of variance procedure (ANOVA), "factor" refers to the independent variable. ANOVA is used to determine if there is a significant difference between the means of two or more groups, and the factor is the variable being studied that is believed to have an effect on the outcome. Variance is a measure of the variability or spread of the data, and ANOVA compares the variance between groups to the variance within groups to determine if there is a significant difference. The different levels of a treatment are also referred to as levels of the factor.

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Angle A coincides with angle E.

Angle B coincides with angle D.

Segment AC coincides with segment EF.

Segment AB coincides with segment ED.

Any geometric transformation of a euclidean space that keeps the euclidean distance between every pair of points is referred to as a rigid transformation.

Rotations, translations, and reflections are some examples of rigid transformations.

If we observe the given preimage and image we can conclude that the triangle is rotated about 90° counterclockwise.

∴ Points, A = E, B = D , C = F from this we can conclude that

Angle A coincides with angle E.

Angle B coincides with angle D.

Segment AC coincides with segment EF.

Segment AB coincides with segment ED.

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The demand function that depict the price and demand would be Qd = -1/5P + 21.

We know that at a price of $65, 8 rooms are rented. It's also given that for each $5 increase in price, one less room is rented.

Slope = rise/run, our slope is -1/5.

slope = -1/5 because for each increase of $5 (run), there is a decrease of 1 room (rise).  

linear equation ⇒ Qd = mP + b

Qd = quantity demanded

P = price

m = slope of the demand curve

b = y-intercept

8 = -1/5 × 65 + b

8 = -13 + b

b = 8 + 13

b = 21

Therefpre demand function⇒ Qd = -1/5P + 21.

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I got 6x+3..................................................                                              

The probability of a royal flush in a 5-card hand is 1/649740 or 0.0001539%.

The combination is a way of selecting a smaller number of sets from a larger number of sets in no particular order.

If selecting r items from a set of n items, in no particular order, we use combinations, using the formula:

nCr = n!/{r!(n - r)!}.

In the question, we are asked the probability of a royal flush in a 5 card hand.

The number of ways of selecting 5 cards from a deck can be computed using a combination, 52C5, as we have 52 cards in a deck, 5 cards are to be chosen and the order is not in concern.

52C5 = 52!/{5!(52 - 5)!} = 52!/(5!.47!) = (52*51*50*49*48)/(5*4*3*2*1) = 2598960.

The number of hands that make a royal flush is only 4. 4 from each suit.

Therefore, the probability = 4/2598960 = 1/649740 or 0.0001539%.

Therefore, the probability of a royal flush in a 5-card hand is 1/649740 or 0.0001539%.

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Answer:

13

Step-by-step explanation:

they go at diffrent speed of electric.

If the side are increased by 45% then the area of green part will be 26.6955 \(mm^{2}\).

Given that area of a shape of 37 \(mm^{2}\) in which 60% is green.

We are required to find the area of green region if the side is increased by 45%.

Area is basically part of a surface covered by a shape.

When the side is increased by 45% then the area will increase by 45%*45%=20.25%.

Increased area =37*20.25%=7.4925

New area=37+7.4925

=44.4925

We have been given that 60% is the area of green.

Area of green region=44.4925*60/100

=26.6955 \(mm^{2}\)

Hence if the sides are increased by 45% then the area of green part will be 26.6955 \(mm^{2}\).

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Answer:

B. x = 12.5

Step-by-step explanation:

We have similar quadrilaterals, so the ratios of corresponding sides are equal.

\( \frac{15}{12} = \frac{x}{10} \)

\(12x = 150\)

\(x = 12.5\)

If two coplanar lines are cut by a transversal so that a pair of alternate interior angles are equal then the two lines are parallel.

The four sets of opposing angles that each have their own vertex point, are on different sides of the transversal and are both either internal or exterior are called alternate angles.

In geometry, a transversal line is one that cuts across the plane in two places. It does so at two spots where two lines meet. Many right angles are produced when two transverse lines meet. There are four types of similar angles: matching, alternative interior, alternate exterior, and co-interior.

In geometry, two lines are considered parallel if and only if all pairs of alternative interior angles in any transversal are equal.

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The vector in the direction is [1/sqrt(46), 3/sqrt(46), 2/sqrt(46), 0]

A unit vector in the direction of u is u/|u| where |u| is the magnitude of u.

To find the magnitude of u, we use the formula:

|u| = sqrt(1^2 + 6^2 + 3^2 + 0^2) = sqrt(46)

So, a unit vector in the direction of u is:

u/|u| = [1/sqrt(46), 6/sqrt(46), 3/sqrt(46), 0/sqrt(46)]

Simplifying the vector, we get:

[1/sqrt(46), 3/sqrt(46), 2/sqrt(46), 0]

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Answer:

D. 4x + 7y = 3

Tools:

You can use Desmos Graphing Calculator to help you find linear equations etc.

Answer:

83

Step-by-step explanation:

Answer:

I think it is b hopes this helps.

Step-by-step explanation:

DBC = TBC + DBT

DBT = DBC - TBC

DBT = 25X +7 -( 12X + 5 )

DBT = 25X + 7 - 12X -5

DBT = 13 X + 2

TBC = 12x + 5

DBC = 25x + 7

ur question is missing an information to find x

A definite integral is said to be improper if one or both of the limits of integration are infinite, or if the integrand function has a vertical asymptote within the interval of integration.

In other words, an improper integral is one that cannot be evaluated using the usual techniques of integration, such as the fundamental theorem of calculus, because it involves infinite limits or a function that is not integrable over the interval.

For example, the definite integral of f(x) = 1/x from 1 to infinity is an improper integral because the upper limit of integration is infinity, which is not a finite number. Similarly, the definite integral of f(x) = ln(x) from 0 to 1 is an improper integral because the lower limit of integration is 0, and the function has a vertical asymptote at x=0.

To evaluate improper integrals, we use limit processes to determine whether the integral converges (has a finite value) or diverges (has an infinite value). If the integral converges, we can find its value by taking the limit of a related integral as one or both of the limits of integration approach infinity or zero.

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The number of milligrams (mg) of silver (Ag) in 250 mL of a saturated solution of Ag₂CO₃ (Ksp = 8.1 × 10⁻¹²) is approximately 1.5 mg.

To calculate the amount of silver in the solution, we need to consider the solubility product constant (Ksp) and the stoichiometry of the compound. The balanced equation for the dissolution of Ag₂CO₃ is:

Ag₂CO₃(s) ⇌ 2Ag⁺(aq) + CO₃²⁻(aq)

From the equation, we can see that each mole of Ag₂CO₃ dissociates into 2 moles of Ag⁺ ions. Given the Ksp value, we can assume that the concentration of Ag⁺ in the saturated solution is equal to the solubility of Ag₂CO₃.

Using the equation for Ksp:

Ksp = [Ag⁺]²[CO₃²⁻]

We can rearrange the equation to solve for [Ag⁺]:

[Ag⁺]² = Ksp / [CO₃²⁻]

Since Ag₂CO₃ is sparingly soluble, we can assume that the concentration of CO₃²⁻ is negligible compared to Ag⁺, and thus [CO₃²⁻] ≈ 0.

Therefore, [Ag⁺] ≈ √Ksp = √(8.1 × 10⁻¹²) ≈ 9.0 × 10⁻⁶ M.

Now, to find the amount of silver in the solution, we multiply the concentration by the volume:

Amount of Ag = [Ag⁺] × Volume = (9.0 × 10⁻⁶ M) × (250 mL) ≈ 2.25 × 10⁻³ mol.

To convert this to milligrams, we need to multiply by the molar mass of silver:

Amount of Ag in mg = (2.25 × 10⁻³ mol) × (107.87 g/mol) × (1000 mg/g) ≈ 1.5 mg.

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Answer:

2x⁴+x³-x²+54x+56

Step-by-step explanation:

Given the expression length of dylan room =  (x² – 2x + 8) and width = (2x² + 5x – 7), assuming the shap of the room is rectangular in nature, the formula for calculating area of a triangle is given as;

Area of rectangle = Length *Width

Area of the rectangle =  (x² – 2x + 8)(2x² + 5x – 7)

Area of the rectangle  = x²(2x² + 5x – 7) - 2x (2x² + 5x – 7) + 8(2x² + 5x – 7)

= (2x⁴+5x³-7x²)-(4x³+10x²-14x)+(16x²+40x-56)

expanding the bracket

= 2x⁴+5x³-7x²-4x³-10x²+14x+16x²+40x-56

Collecting the like terms;

= 2x⁴+5x³-4x³-7x²-10x²+16x²+40x+14x+56

= 2x⁴+x³-x²+54x+56

Hence, the expression that represents the area (lw) of Dylan's room is 2x⁴+x³-x²+54x+56

Answer:

2x^4+ x^3 - x^2 + 54x - 56 expression represents the area of Dylan’s room

Step-by-step explanation:

C on edge :)

(a) is the correct answer.

One common mistake that many managers make when using a causal forecasting model such as linear and multiple regression is to assume that the correlation of variables proves that one variable has caused another variable. Option (a) is the correct answer.Linear regression, also known as simple regression, is a forecasting technique that analyzes the relationship between an independent variable and a dependent variable. Multiple regression forecasting includes the use of many independent variables. The focus of regression analysis is to make predictions or decisions based on the results of the regression model.The dependent variable is the variable that is being forecasted or analyzed in regression analysis. It is referred to as the predicted or outcome variable. The independent variable is the variable that is believed to be responsible for the dependent variable's variation. It is also referred to as the explanatory variable.In regression analysis, correlation does not equate to causation. Managers should understand that the correlation between two variables does not imply that one variable caused the other. There might be a third variable that is causing both variables to vary. As a result, managers should be cautious when interpreting regression results because correlation does not equate to causation. Correlation can demonstrate the relationship between two variables, but it does not indicate causation.

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Answer:

Step-by-step explanation:

Answer: 25 inches

Step-by-step explanation:

The equation for area of a rectangle is Length x Width, since we have the width which is 20 in., we can multiply it by a variable and set it equal to 500.

20(b)=500

divide both sides by 20

b=25

If the boxes are all stacked on top of each other, what is their combined height is 11/8

Height of large box = 7/8m

Height of medium box = 2/6m shorter than large box

Height of small box = 1/4m shorter than the medium box

Calculating the height of the medium and small boxes.

Medium box height x large box height

= 2/6 × 7/8

= 7/24

Since, the small box is 1/4 of a meter shorter than the medium box, therefore its height -

= 7/24 - 1/4

= 5/24

Calculating the height of three boxes -

7/8 + 7/24 + 5/24

= 21/24 + 7/24 + 5/24

= 33/24

= 11/8

Correct Question:

Lupe measured the height of three rectangular prisms she was using to pack up some clothing. The large box was 7/8 of a meter tall. The medium box was 2/6 shorter than the large box. The small box was 1/4 of a meter shorter than the medium box. If the boxes are all stacked on top of each other, what is their combined height?

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Answer:

x-2

Step-by-step explanation  

\(\frac{x^{2} + x - 6}{x + 3} = \frac{(x-2)(x+3)}{(x + 3)} = (x-2)\)

eliminate (x+3) from top and bottom leaving (x-2)

The Fourier transform G(f) of the convolution g(t) = g1(t) * g2(t), where g1(t) is the triangle function and g2(t) is the unit rectangle function, is given by G(f) = (4/T) * sinc^3(fT/2), where T is the width of the triangle function.

To find the Fourier transform G(f) of the convolution g(t) = g1(t) * g2(t), where g1(t) is the triangle function and g2(t) is the unit rectangle function, we can use the properties of the Fourier transform.

The Fourier transform of g1(t) is given by:

G1(f) = (2/T)² * sinc²(fT/2)

where T is the width of the triangle function.

The Fourier transform of g2(t) is given by:

G2(f) = T * sinc(fT)

where T is the width of the rectangle function.

To find the Fourier transform G(f) of the convolution g(t) = g1(t) * g2(t), we need to multiply the Fourier transforms of g1(t) and g2(t):

G(f) = G1(f) * G2(f)

Substituting the expressions for G1(f) and G2(f):

G(f) = [(2/T)²* sinc²(fT/2)] * [T * sinc(fT)]

Simplifying the expression:

G(f) = (4/T) * sinc³(fT/2)

Therefore, the Fourier transform of the convolution g(t) = g1(t) * g2(t) is G(f) = (4/T) * sinc³fT/2).

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Answer:

Undefined

Step-by-step explanation:

\(f(x)=2+|x-3|\\f'(x)=\frac{x-3}{|x-3|}\\f'(3)=\frac{3-3}{|3-3|}=\frac{0}{0}\)

Therefore, the function is not differentiable at x=3

The equation of the new function g(x) is g(x) = 2 - |x+2|

Transformation is. way of changing the position of an object on an xy-plane.

Given the parent function  f(x) = |x+3|.

If the function is translated 2 units down and 1 unit right, then the resulting function will be |x+3 - 1| - 2 which is equivalent to  |x+2| - 2

The reflection of the resulting function across the x-axis is given as:

g(x) = -(|x+2|-2)

g(x) = 2 - |x+2|

Hence the new function g(x) if the parent function undergo the transformation is g(x) = 2 - |x+2|

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Answer:

No

Step-by-step explanation:

No

Answer: ax - 2bx plus 3a - 6b

Step-by-step explanation: I’m not so sure with this but it might help