U.S. meat production, M = f(t), In millions of thetric tons, is a functlon of t, years since 2000. a) Write a sentence interpreting the statement f(20) = 94 in terms of meat production and years. Be sure to include proper units in your interpretation

Answer:the dots -2 and 2

Step-by-step explanation:

Answer:

(10 + q) ÷ 5

Explanation:

the sum of  10 and a number q is 10 + q

one fifth is dividing by 5

so (10+q) ÷ 5

Answer:

3x

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

By the definition of negative indices, we can rewrite our expression:

\(y^-^\frac{4}{3} =\frac{1}{y^-^\frac{4}{3} }\)

And by the definition of fraction powers, we can rewrite our term:

\(\frac{1}{y^-^\frac{4}{3} }=\frac{1}{(\sqrt[3]{y})^4}\)

Not sure if that's what C says because the picture is kinda blurry.

9514 1404 393

Answer:

  at most 63

Step-by-step explanation:

The inequality Jody can use to determine the number of sheets (s) of paper she can buy will be ...

  18.25 + 0.34s ≤ 40

  0.34s ≤ 21.75

  s ≤ 21.75/0.34 ≈ 63.97

Jody can buy up to 63 sheets of paper.

Answer:

what are you asking?

Step-by-step explanation:

Answer:

196 miles

Step-by-step explanation:

To find the distance that the bus drives, we can use the formula:

distance = rate x time

where rate is the average speed and time is the duration of the trip.

In this case, the average speed of the bus is 56 mph and the duration of the trip is 3 1/2 hours. However, it is easier to work with time in terms of a single unit, so let's convert 3 1/2 hours to 7/2 hours:

3 1/2 hours = (2 x 3) + 1/2 hours = 7/2 hours

Now we can plug in the values into the formula:

distance = rate x time

distance = 56 mph x 7/2 hours

We can simplify by multiplying 56 by 7 and then dividing by 2:

distance = (56 x 7) / 2 = 196 miles

Therefore, the bus drives 196 miles.

Answer:

15% increase

Step-by-step explanation:

percentage increase is calculated as

% increase = \(\frac{increase}{original}\) × 100%

increase = £3162.50 - £2750 = £412.50

then

% increase = \(\frac{412.5}{2750}\) × 100% = 0.15 × 100% = 15%

37.5 degrees

we know angled like this always have 180 degrees total between the 2. which means we can set up a little equation to solve for x. The equation is (3x+22)+(x-4)= 180. Initially we can take the solid numbers (22 and -4) and get rid of them by taking them to the 180. 180- 22 is 158. 158 + 4 is 162. now we have 3x + x = 162. we combine like terms. means we end up with 4x =162. We now divide by 4 which means we get 40.5. Now we know x is 40.5. Now dbc is just 40.5- 4 which is 37.5.

The measure of angle ∠DBC is,

⇒ ∠DBC = 35.5°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Point D is in the interior of ∠ABC.

And, ∠ABD = (3x + 22)°

⇒ ∠DBC = (x - 4)°

Clearly, Both angle make a linear pair.

Hence, We get;

⇒ ∠ ABD + ∠DBC = 180°

⇒ (3x + 22) + (x - 4) = 180°

⇒ 3x + 22 + x - 4 = 180

⇒ 4x + 18 = 180

⇒ 4x = 180 - 18

⇒ 4x = 162

⇒ x = 162/4

⇒ x = 40.5

Hence, The measure of angle ∠DBC is,

⇒ ∠DBC = (x - 4)°

⇒ ∠DBC = (40.5 - 4)°

⇒ ∠DBC = 35.5°

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The given trigonometric function consists of trigonometric values of common angles.

The values that represent the solution to \(cos(\frac{\pi }{4} -x)=\frac{\sqrt{2} }{2} .sinx\), x ∈ [0, 2·π) are; \(x=({\frac{\pi }{2} or \frac{3.\pi }{2} )\).

The given function is:  \(cos(\frac{\pi }{4} -x)=\frac{\sqrt{2} }{2} .sinx\)

Where; x ∈ [0, 2·π).

We have; cos(A - B) = cos(A)·cos(B) - sin(A)·sin(B).

Which gives:

So, we obtain:
\(\frac{\sqrt{2} }{2} .cosx=\frac{\sqrt{2} }{2}.sinx-\frac{\sqrt{2} }{2} .sinx=0\\cosx=0\\cos\frac{\pi }{2} =0\)

Therefore, the possible solutions (x-values) to cos x = 0 are:

\(0\) ≤ \(\frac{n.\pi }{2}\) ≤ \(2.\pi\)

Where, n = 1, 3, 5, .., x ∈ [0, 2·π)

We get:  \(x=({\frac{\pi }{2} or \frac{3.\pi }{2} )\).

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To put the equation y = -4x^2 + 48x - 149 into graphing form, you will need to complete the square. Here is a step-by-step process:

Begin by factoring out the coefficient of the x^2 term. In this case, the coefficient is -4, so you will need to factor out a -4:

y = (-4)(x^2) + 48x - 149

Next, you will need to add and subtract a value in order to complete the square. The value you add and subtract should be equal to the square of half of the coefficient of the x term. In this case, the coefficient of the x term is 48, so you will need to add and subtract (48/2)^2 = 144:

y = (-4)(x^2 + (48/2)^2 - (48/2)^2) + 48x - 149

Simplify the expression inside the parentheses:

y = (-4)(x^2 + 144 - 144) + 48x - 149

Simplify the expression inside the parentheses:

y = (-4)(x^2) + 48x - 149

Rearrange the terms so that the x^2 term is on the left side and the constant term is on the right side:

x^2 - 12x - 37 = 0

Factor the quadratic equation:

(x - 7)(x + 5) = 0

The solutions to the equation are x = 7 and x = -5. These are the x-coordinates of the points where the graph of the equation intersects the x-axis.

To plot these points on the graph, you will need to substitute each value of x into the original equation and solve for y. For example, if x = 7, then y = (-4)(7^2) + 48(7) - 149 = 25. Similarly, if x = -5, then y = (-4)(-5^2) + 48(-5) - 149 = -149.

Plot the points (7, 25) and (-5, -149) on the graph. The graph of the equation y = -4x^2 + 48x - 149 will be the parabola that passes through these two points.

Answer:

C

Step-by-step explanation:

edge 21

Answer:

C or 3

Step-by-step explanation:

took the test

The value of the coefficient B will be 9.

2(x+By)(x-2y)

=2(x^2 -2xy +Bxy -2By^2)

=2x^2 -4xy + 2Bxy - 4By^2

The original form is  \(\d2x^{2} +14x-36y^{2}\)

\(2(x+By)(x-2y)\\\ =2(x^2 -2xy +Bxy -2By^2)\\\\ =2x^2 -4xy + 2Bxy - 4By^2\\\\2x^2 + 14xy - 36y^2\\\\ -36y^2 = -4By^2B= 9\\\\ -4xy +2Bxy= 14xy\\\\xy(-4 +2B)= 14xy\\\\ -4 + 2B = 14\\\\ 2B = 18\\\ B=9\)

hence the value of B=9

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Answer:

b=9

Step-by-step explanation:

Answer:

-54 and 56

Step-by-step explanation:

An integar is only the number which has no decimals or fractions

Answer:

$14.4

Step-by-step

c = x + 0.07x + 0.18x

18 = x + 0.07x + 0.18x

18 = 1.25x (simplify)

14.4 = x  (divide both sides by 1.25)

To solve this question, find the 4 first terms of the sequence.

The first term is a₁

a₁ is given and a₁ = 7

The second term is a₂

Given:

Then, let's find a₂ using the value of a₁

The third term is a₃

let's find a₃ using the value of a₂

The fourth term is a₄

let's find a₄ using the value of a₃

Answer:

The four first terms are:

a₁ = 7

a₃ = 12

a₃ = 17

a₄ = 22

When sampling without replacement, the standard deviation (SD) of a binomial distribution can be calculated using the following formula:

SD = sqrt((N - n) * p * (1 - p) / (N - 1))

where N is the population size, n is the sample size, and p is the probability of success (in this case, the proportion of echidnas with diets consisting mostly of termites).

Given that the population proportion of echidnas with termite diets is 40% (or 0.4) and the sample size is 20, we can calculate the standard deviation.

SD = sqrt((N - n) * p * (1 - p) / (N - 1))

= sqrt((N - 20) * 0.4 * (1 - 0.4) / (N - 1))

Since we don't have information about the total population size (N), we cannot calculate the exact standard deviation.

However, we can provide an estimation by assuming a large population, which means that the difference between N and N-1 is negligible.

Let's assume N is large, so N - 1 ≈ N:

SD ≈ sqrt((N - 20) * 0.4 * (1 - 0.4) / N)

≈ sqrt(0.24 * (N - 20) / N)

Given the answer choices provided, we can estimate the closest value to the standard deviation.

Let's substitute different values for N and find the closest answer choice.

For N = 100, we have:

SD ≈ sqrt(0.24 * (100 - 20) / 100)

≈ sqrt(0.24 * 80 / 100)

≈ sqrt(0.192)

≈ 0.438

For N = 200, we have:

SD ≈ sqrt(0.24 * (200 - 20) / 200)

≈ sqrt(0.24 * 180 / 200)

≈ sqrt(0.216)

≈ 0.465

Out of the provided answer choices, the closest value to the estimated standard deviation of 0.465 is 0.4.

Therefore, 0.4 is the closest choice to the standard deviation of x.

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20.11 cm3/min is the rate at which the snowball's volume is decreasing.

Given,

The decreasing diameter when the spherical ball is melting = 0.2 cm/min

We have to find the rate in decrease in volume of snowball when diameter is 8 cm.

Here,

Volume of sphere, V = 4/3 π r³ = 4/3 π (D/2)³ = 1/6 π D³

Considering differences according to time,

dV/dt = d/dt (1/6 π D³) = 1/6 π × 3D² dD/dt

dV/dt = 1/2 π D² dD/dt

Substituting

D is 8 cm, and the diameter is changing at a rate of 0.2 cm/min.

dV/dt = 1/2 π D² dD/dt

dV/dt = 1/2 × π × 8² × 0.2 = 20.11 cm³/min

Therefore,

Decreasing snowball volume at a rate of 20.11 cm3/min

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True. the interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model.

The slope and intercept of a line reveal the steepness of the line and the location in which it intersects an axis. The slope and intercept of the logistic relationship of the two variables can be utilized to get the average change rate. The ratio of a change in the variable y to the rise in the x component is known as the the line's slope.

Y = a + bX, where X seems to be the mediating variable and Y is the response variable, is the equation of a linear regression line. A is the intersection (the result of y for x = 0), and b is the line's slope.

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Answer:

30 cm

Step-by-step explanation:

Make sure all units are the same!

P = Perimeter

A = Area

Formula used for similar figures:

\(\frac{A_{1}}{A_{2}} = (\frac{l_{1}}{l_{2}})^{2}\) —- eq(i)

\(\frac{P_{1}}{P_{2}} = \frac{l_{1}}{l_{2}}\) ———— eq(ii)

Applying eq(ii):

∴\(\frac{25}{P_{2}} = \frac{10}{12}\)

Cross-multiplication is applied:

\((25)(12) = 10P_{2}\)

\(300 = 10P_{2}\)

\(P_{2}\) has to be isolated and made the subject of the equation:

\(P_{2} = \frac{300}{10}\)

∴Perimeter of second figure = 30 cm

The demand equation for a product is a function that represents the relationship between the price of a product and the quantity demanded by consumers. The price elasticity of demand when the price is $40 is E= (40/Q) (dQ/dP) = (40/Q) (q/40) = 1 Therefore, demand is unit elastic.

The price elasticity of demand measures the responsiveness of the quantity demanded of a product to a change in its price.

It is a crucial concept in economics, particularly in understanding how consumers react to changes in prices.

To answer this question, we use the formula for price elasticity of demand:

E= (P/Q) (dQ/dP) where E is the elasticity,

P is the price of the product, Q is the quantity demanded, and

dQ/dP is the derivative of the quantity demanded with respect to the price.

Given the demand equation,

a = price of the product in dollars and q is the quantity.

Therefore, we can rewrite the equation as follows:

a = Pq Taking the derivative of both sides, we get:

da/dP

= q + P (dq/dP)  Solving for dq/dP,

we get: dq/dP

= (da/dP - q)/P

Plugging in the values, we get:

dq/dP

= (1q - 0)/40

= q/40

Hence, the price elasticity of demand when the price is $40 is

E= (40/Q) (dQ/dP)

= (40/Q) (q/40)

= 1

Therefore, demand is unit elastic.

The demand is unit elastic if the percentage change in quantity demanded is equal to the percentage change in price.

Therefore, a change in price will lead to an equal change in quantity demanded.

If the elasticity is greater than 1, the demand is elastic.

If the elasticity is less than 1, the demand is inelastic.

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Answer:

Te conozco y sé qué

Como Nuevo de fabrica el otro

To complete the square for the quadratic equation x²+8x-35=0, we need to add a constant to both sides of the equation that will result in a perfect square trinomial on the left-hand side.

To do this, we need to take half of the coefficient of x, square it, and add it to both sides of the equation. The coefficient of x in this equation is 8, so we take half of 8, which is 4, square it, which is 16, and add it to both sides of the equation:

x² + 8x - 35 + 16 = 16

x² + 8x + 16 = 51

On the left-hand side, we have a perfect square trinomial that can be factored as (x+4)². So, we have:

(x+4)² = 51

To solve for x, we take the square root of both sides:

x+4 = ±√51

Finally, we isolate x by subtracting 4 from both sides:

x = -4 ± √51

Therefore, the number that had to be added to "complete the square" is 16.

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The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Step-by-step explanation:

Given parameters:

Amount of discount on goods= 20%

Original price of the good  = 700

Unknown:

Total amount he saved  = ?

Solution:

The total amount he saved will be the value of the discount charged on the original price.

 Amount of discount  = Percentage discount x original price of goods

 Amount of discount = \(\frac{20}{100}\) x 700

 Amount of discount  = 140

The amount saved is 140

Answer:

Only 1 flavour ??

Only 1 flavour ??anyway ....

Only 1 flavour ??anyway ....number of different ice cream desserts

desserts= 3 x 1 x 4

= 12

Our assumption that two consecutive elements of the Fibonacci sequence can be divisible by 13 is false, and the proposition is proved.

We begin with the fact that the Fibonacci sequence is an increasing sequence; that is, each element is greater than the one before it.

The sequence is defined as follows:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155, 165580141, 267914296, 433494437, 701408733, 1134903170, 1836311903, and so on.

Now, let us prove the proposition by contradiction. Assume that there are two consecutive elements of the Fibonacci sequence that are divisible by 13. Then there must be some integer n such that:

F(n) = 13m, andF(n + 1) = 13p,

where m and p are integers.

Since the Fibonacci sequence is defined recursively by F(n) = F(n-1) + F(n-2), we can obtain an expression for F(n-2) in terms of F(n) and F(n-1):

F(n-2) = F(n) - F(n-1)Since F(n) and F(n-1) are both divisible by 13, their difference must also be divisible by 13.

Therefore, F(n-2) is divisible by 13 as well. However, this contradicts the well-ordering principle, which states that every non-empty set of positive integers has a least element.

Since the Fibonacci sequence is an increasing sequence, there must be some least element k such that F(k) is divisible by 13 but F(k-1) is not. But this means that F(k-2) cannot be divisible by 13, which contradicts our assumption that both F(n) and F(n-1) are divisible by 13.

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Answer:

Let y=x,

y=(x-9)7

(y+9) ÷7=x

f-1(x)=(y+9)÷7