This question I couldn’t get, 20 for whoever answers

Answer:

The Earth's system which was affected the most by fossilized dinosaurs was the lithosphere.

Answer:

x= 4 1/3

Step-by-step explanation:

3x-4=9

3x=13

x=13/3 = 4 1/3

Answer:

4 and 1/3

Step-by-step explanation:

Move -4 to the # side of the equation and change the symbol:

3x=9+4

Solve:

3x=13

x=13/3

x=4 and 1/3

To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 and x2 are the sample means of the two sheets,

s_p is the pooled standard deviation,

n1 and n2 are the sample sizes.

The pooled standard deviation (s_p) can be calculated using the following formula:

s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

where:

s1 and s2 are the sample standard deviations.

To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.

Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.

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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.

The t-statistic for a paired t-test is calculated as follows:

t = (X1 - X2) / (s / √n)

where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.

Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.

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Answer:

2(34 + 12) > 5b

Step-by-step explanation:

A) 16

B) 18

Pls mark Brainliest :D

The farming conglomerate will use approximately 36,912.51 megaliters of water 5 years from now.

To calculate the amount of water the farming conglomerate will use 5 years from now, we can use the given information that its water usage increases at a rate of 7% every year.

Let's denote the current water usage as W₀ and the water usage after 5 years as W₅.

We know that W₅ = W₀ * (1 + r)^n, where r is the growth rate (in decimal form) and n is the number of years.

In this case, W₀ = 28,390 megaliters, r = 7% = 0.07, and n = 5.

Substituting these values into the formula, we have:

W₅ = 28,390 * (1 + 0.07)^5

Calculating this expression, we get:

W₅ ≈ 28,390 * (1.07)^5 ≈ 36,912.51 megaliters

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Answer:

It goes this way 4,10,16,22,28

Answer:

To solve this problem, we need to use the following two facts:

1) If a quadratic equation has integer coefficients only, and if one of the roots is a + √b (where a and b are integers), then a - √b is also a root of the equation.

2) If r and s are roots of a quadratic equation, then the equation is of the form x^2 – (r +s)x + rs = 0.

Since we know that 1 - √2 is a root of the quadratic equation, we can let:

r = 1 + √2

and

s = 1 - √2

Thus, r + s = (1 + √2) + (1 - √2) = 2 and rs = (1 + √2)(1 - √2) = 1 – 2 = -1.

Therefore, the quadratic equation must be x^2 – 2x – 1 = 0.

Answer: D

Step-by-step explanation:

The diagram can be drawn as,

The surface area of the base is

The lateral surface area can be determined as,

The total surface area can be determined as,

Thus, the total surface area is 20 sq km.

The fοrmula D = m/4, we can calculate the diffusiοn cοnstant 'D' as:

D = 1.24/4 = 0.31

Diffusiοn is the prοcess by which particles οf a substance mοve frοm an area οf high cοncentratiοn tο an area οf lοwer cοncentratiοn, resulting in a net mοvement οf particles dοwn their cοncentratiοn gradient.

This οccurs due tο the randοm mοtiοn οf individual particles, which leads tο a tendency fοr particles tο spread οut and becοme evenly distributed οver time.

Answer tο Questiοn 9:

The relatiοnship between average displacement squared (R²) and time (t) is linear.

Answer tο Questiοn 10:

The variable 'R2' in the diffusiοn equatiοn cοrrespοnds tο 'y' in the trendline equatiοn, and the variable 't' in the diffusiοn equatiοn cοrrespοnds tο 'x' in the trendline equatiοn.

Answer tο Questiοn 11:

We can sοlve fοr the diffusiοn cοnstant 'D' in terms οf the slοpe 'm' and a cοnstant 'c' by equating the diffusiοn equatiοn and the trendline equatiοn.

The diffusiοn equatiοn: R2 = 4Dt

The trendline equatiοn: y = mx + b

Substituting the cοrrespοnding variables, we get:

R2 = y, D = cοnstant, t = x, m = slοpe, b = cοnstant

Sο, we have:

R2 = 4Dt

y = mx + b

Equating the twο equatiοns, we get:

y = 4Dx + 0 (since b = 0)

Cοmparing this with the trendline equatiοn y = mx + b, we can see that:

m = 4D

Therefοre, we can sοlve fοr 'D' as:

D = m/4

Answer tο Questiοn 12:

Given the trendline equatiοn y = 1.24x + 5.63, we can see that the slοpe 'm' is 1.24.

Using the fοrmula D = m/4, we can calculate the diffusiοn cοnstant 'D' as:

D = 1.24/4 = 0.31

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Answer:

107

Step-by-step explanation:

Answer:

107.

Step-by-step explanation:

99

+8

------

107

Please mark as brainliest!

The maximum monthly profit is $420.  To find the maximum monthly profit, we need to find the production level (X) that will maximize the profit.

We can do this by setting the marginal profit equation equal to zero and solving for X:

p'(x) = -0.4x + 20 = 0
0.4x = 20
x = 50

So, the production level that will maximize the profit is 50 widgets per month.

To find the maximum monthly profit, we need to calculate the total monthly revenue and subtract the fixed cost. The total monthly revenue can be calculated as the product of the price per unit and the number of units sold:

p(x) = -0.2x^2 + 20x
p(50) = -0.2(50)^2 + 20(50) = $500

So, the total monthly revenue is $500.

The maximum monthly profit can now be calculated as:

Profit = Total Revenue - Fixed Cost
Profit = $500 - $80
Profit = $420

Therefore, the maximum monthly profit is $420.

So, the answer is $420.

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Answer:

The percent of interest is 12.3% per year

Step-by-step explanation:

According to the question Elwood invested 5000 $ in market account

The market account gives the compound interest annually

let p be the interest per year then

At the end of 1st year

amount =(1+0.p) x 5000  = 1.p x 5000

similarly at the end of 2nd year

amount =(1+0.p) x(1+0.p)x 5000  = \((1.p)^{2}\) x 5000

similarly at the end of 3rd year

amount = 7100 $ = \((1.p)^3\) x 5000

⇒ \(\frac{71}{50}\) = \((1.p)^3\)  

1.392 =  \((1.p)^3\)

on further solving we get

1.p = \((1.42)^{1/3}\) = 1.123

thus 1.p = 1 + 0.p = 1.123

thus p = 0.123

thus the percent of interest is 12.3% per year

Answer:

drop down 1 a slower rate per year

drop down 2 670

Step-by-step explanation:

as in three years you get $7100

you take that and subtract it by your starting amount (5000)

7100-5000= 2100

then divide 2100 by the number of years (3)

to get your annual rate of 700$

then you take the 8 year total and subtract it from your 3 year total

10350-7100= 3250

Then divide that by 5 because that how many years it has been

to get the annual rate of 650

making the 5 year rate slower.

The to find the average rate over all 8 year you take 10350 and subtract it from your starting number 5000

10350-5000= 5350

then take 5350 and divide it by the number of years (8)

you then get you average rate of 668.75

668.75=670

Hope this helps!

The surface area and volume of a cube with different edge length are

When a cube with edge length 4inches ,

Surface area = 96 square inches and Volume =64 cubic inches.

Cube dilated by scale factor 0.25 ,  

Surface area = 6 square inches and Volume =1 cubic inches.

The surface area of a cube is = 6 times the area of one face.

Each face of this cube has an area equals to

= (4 inches) x (4 inches)

= 16 square inches,

So the total surface area is,

Surface area

= 6 x 16 square inches

= 96 square inches

The volume of a cube =  length of one edge cubed.

Here, the edge length is 4 inches,

Volume

= (4 inches)^3

= 64 cubic inches

When a cube is dilated by a scale factor of 0.25, all of its edges are multiplied by 0.25.

This implies,

The edge length of the image cube is

0.25 x 4 inches = 1 inch.

Surface area of the image cube =  6 times the area of one face.

Each face of the image cube has an area of

= (1 inch) x (1 inch)

= 1 square inch,

So the total surface area is,

Surface area

= 6 x 1 square inch

= 6 square inches

Volume of the image cube = length of one edge cubed.

Here, the edge length is 1 inch,

Volume

= (1 inch)^3

= 1 cubic inch

Therefore, the surface area and volume for the given dimensions are

For edge length 4inches , Surface area = 96 square inches and Volume =64 cubic inches.

For scale factor 0.25 ,  Surface area = 6 square inches and Volume =1 cubic inches.

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The standard deviation's numerical value is always positive.

Therefore, the correct option is b) negative

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Answer:

x= -6

Step-by-step explanation:

3x+4= 2 (x - 1)

3x+4= 2x -2

Subtract 4 from both sides of the equation

Simplify

Subtract 2x from both sides of the equation

Simplify

= -6

Answer:

x = -6

Step-by-step explanation:

I've attached a pic, hopefully it is clear and understandable:)

Substitution is a method for solving systems of equations that involves solving for one variable in one equation and then substituting that value into the other equation.

Here's how we can use substitution to solve the system of equations:

5x+y=9

10x−7y=−18

Solve one equation for one variable, for example:

y = 9 - 5x

Substitute this expression of y into the other equation:

10x - 7(9 - 5x) = -18

Solve the equation resulting from the substitution

10x - 63 + 35x = -18

45x = 45

x = 1

Substitute this value of x back into one of the original equations to find the value of y.

5(1) + y = 9

y = 4

So the solution is (x,y) = (1,4)

You can check this solution by substituting it back into both original equations.

The equilibrium price and quantity for each pair of demand and supply functions are as follows:

a. Q = 10 - 2P

To find the equilibrium, we set the quantity demanded equal to the quantity supplied:

10 - 2P = P

By solving this equation, we can determine the equilibrium price and quantity. Simplifying the equation, we get:

10 = 3P

P = 10/3 ≈ 3.33

Substituting the equilibrium price back into the demand or supply function, we can find the equilibrium quantity:

Q = 10 - 2(10/3) = 10/3 ≈ 3.33

Therefore, the equilibrium price is approximately $3.33, and the equilibrium quantity is also approximately 3.33 units.

b. Q = 1640 - 30P

Setting the quantity demanded equal to the quantity supplied:

1640 - 30P = P

Simplifying the equation, we have:

1640 = 31P

P = 1640/31 ≈ 52.90

Substituting the equilibrium price back into the demand or supply function:

Q = 1640 - 30(1640/31) ≈ 51.61

Hence, the equilibrium price is approximately $52.90, and the equilibrium quantity is approximately 51.61 units.

In summary, for the demand and supply functions given:

a. The equilibrium price is approximately $3.33, and the equilibrium quantity is approximately 3.33 units.

b. The equilibrium price is approximately $52.90, and the equilibrium quantity is approximately 51.61 units.

In the first paragraph, we summarize the steps taken to determine the equilibrium price and quantity for each pair of demand and supply functions. We set the quantity demanded equal to the quantity supplied and solve the resulting equations to find the equilibrium price. Substituting the equilibrium price back into either the demand or supply function allows us to calculate the equilibrium quantity.

In the second paragraph, we provide the specific calculations for each pair of functions. For example, in case a, we set Q = 10 - 2P equal to P and solve for P, which gives us P ≈ 3.33. Substituting this value into the demand or supply function, we find the equilibrium quantity to be approximately 3.33 units. We follow a similar process for case b, setting Q = 1640 - 30P equal to P, solving for P to find P ≈ 52.90, and substituting this value back into the function to determine the equilibrium quantity of approximately 51.61 units.

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The answer to the function is √x + 5. Option b is the right answer.

The domain of the function k (x) is (-9, ∞).

The correct answer is b. √x + 5.

The composite function k (x) = (cod) (x) can be obtained by composing the functions c(x) and d(x), i.e., first finding the value of c(x) and then plugging that result into d(x). So we have:

k (x) = d (c (x)) = d (√x + 9) = √x + 9 - 4 = √x + 5.

The domain of the function k(x) is the set of all x values for which the expression √x + 5 is defined and real. The square root of a real number is defined only if the number is non-negative, so we have:

x + 9 ≥ 0

x ≥ -9

Therefore, the domain of the function k (x) is (-9, ∞).

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The total number of ways six dogs and four cats can sit in a row as per given condition is equal to 86,400 ways.

Total number of dogs = 6

Total number of cats = 4

Arrange six dogs and four cats in a row.

No two cats sit next to each other.

Use permutation ,

Arrange the six dogs in a row in 6! ways.

Now, place the four cats in the six spaces between the dogs.

Since no two cats can sit next to each other

Place them such that there is at least one dog between any two cats.

Spaces between the dogs as ,

_ D _ D _ D _ D _ D _

Place the four cats in any of the 5 spaces between the dogs

Choose four of these spaces without repeating any space.

⁵C₄ = 5

Arrange four cats in the chosen spaces in 4! ways.

Total number of ways to arrange the dogs and cats with the given conditions is,

= 6! x 5 x 4!

= 86,400

Therefore,  there are 86,400 ways for six dogs and four cats to sit in a row in a strawberry field so that no two cats sit next to each other.

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Answer: A

Step-by-step explanation:

Answer:

The graphs are correct, and the solution set is correct.

Step-by-step explanation:

Therefore, The Ratios:  45: 78  and  315: 546 are NOT EQUIVALENT

        ARE -  45: 78  and  315: 546  EQUIVALENT?

       45/78  and 315/546

        45/78 = 5/6

        315/546 = 35/42

         5/6  ≠ 35/42

        Hence, The RATIOS:   45: 78 and 315: 546 are NOT EQUIVALENT

        I hope this helps!

The given system of equations can be solved using LU decomposition. In this case, we would need to show the step-by-step calculations to find the specific values of x1, x2, and x3 using LU decomposition.

LU decomposition is a method that decomposes a square matrix into the product of a lower triangular matrix (L) and an upper triangular matrix (U). This decomposition allows us to efficiently solve systems of linear equations.

To solve the given system of equations using LU decomposition, we first decompose the coefficient matrix into LU form: A = LU. Then, we solve two sets of equations: Ly = b (where y is a vector) and Ux = y (where x is the solution vector).

By performing the LU decomposition and solving the two sets of equations, we obtain the values for x1, x2, and x3 that satisfy the given system.

In this case, we would need to show the step-by-step calculations to find the specific values of x1, x2, and x3 using LU decomposition. This process involves matrix operations such as row operations, pivoting, and forward/backward substitutions.

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Answer: n = 28/4

Step-by-step explanation:

Number of leaves uses to feed each caterpillar = 4.

If Oscar has 28 leaves, the number of caterpillars n he'll be able to feed in a day will be represented by the equation below:

n = 28/4

This implies that 7 caterpillars can be fed in a day.

Answer:

Least common denominator = (x - 1)²(x - 2)

Step-by-step explanation:

Least common denominator of two rational expressions = LCM of the denominator of the expressions.

\(\frac{x^3}{x^2-2x+1}\) and \(\frac{-3}{x^{2}-3x+2}\)

Factorize the denominators of these rational expressions,

Since, \(x^{2}-2x+1\) = x² - 2x + 1

                             = (x - 1)²

And x² - 3x + 2 = x² - 2x - x + 2

                         = x(x - 2) -1(x - 2)

                         = (x - 1)(x - 2)

Now LCM of the denominators = (x - 1)²(x - 2)

Therefore, Least common denominator will be (x - 1)²(x - 2).

Answer:

206

Step-by-step explanation:

618/3=206

The value of x in the trapezoid is 117°.

A trapezoid is a quadrilateral a four-sided polygon with two parallel sides and two non-parallel sides. The parallel sides are most call the bases of the trapezoid, and the non-parallel sides are called the legs.

In a trapezoid, the opposite angles are supplementary. Therefore, we can set up an equation:

x + 63° = 180°

Solving for x, we get:

x = 180° - 63°

x = 117°

Therefore, the value of x in the trapezoid is 117°.

Full question "Find the value of x in the trapezoid below.

X

63°

X = = [?]°"

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The length of side BD, given that AD = 5 and CD = 20 is 10

Given that,

Length of side AD = 4

Length of side CD = 25

Length of side BD =?

We need to determine the length of side BD

Since the triangles are similar, we can obtain the length of side BD as illustrated below:

CD / BD = BD / AD

25 / BD = BD / 4

Cross multiply

BD × BD = 25 × 4

BD² = 100

BD = √100

BD = 10

Thus, the length of side BD is 10

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The value of θ from the given equation is 48.59degrees

Given the trigonometry function

Sin(θ)=3/4

We are to find the value of theta that will make the expression true

Take the arcsin of both sides

arcsin Sin(θ)= arcsin(3/4)

θ = arcsin(3/4)

θ = 48.59

Hence the value of θ from the given equation is θ = 48.59 defense

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Answer:

No

Step-by-step explanation:

Given 3 angles, the shape is a triangle.

The sum of all angles in a triangle = 180°

60° + 62° + 60° = 182°

Since it doesn't equal to 180°, it can't form a polygon

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

x = 7

Step-by-step explanation:

Given 2 congruent arcs then the chords are congruent , that is

VW = XY , substitute values

9x - 34 = 4x + 1 ( subtract 4x from both sides )

5x - 34 = 1 ( add 34 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7