Find the volume of the pyramid. Round to the nearest tenth if necessary.

Answer:

d

Step-by-step explanation:

vertical angles are congruent , so

∠ B = ∠ A  = 43°

To use the degree 2 Taylor polynomial centered at the origin for f, we first need to find the polynomial. The degree 2 Taylor polynomial for f centered at the origin is given by:

P(x) = f(0) + f'(0)x + (f''(0)/2)x^2

where f(0) = √4 = 2, f'(0) = 1/2(4+x)^(-1/2) evaluated at x=0 is 1/4 and f''(0) = (-1/2)(4+x)^(-3/2) evaluated at x=0 is -1/8.

So, we have:

P(x) = 2 + (1/4)x - (1/16)x^2

Now we can use P(x) to estimate the value of the integral I.

I = ∫20 f(x)dx ≈ ∫20 P(x)dx

= ∫20 (2 + (1/4)x - (1/16)x^2) dx

= 2x + (1/8)x^2 - (1/48)x^3 |[0,2]

= 4 + (1/2) - (1/12)

= 25/6

Therefore, I ≈ 25/6, which is closest to option (4) I ≈ 14/3.

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I would email the teacher for more information. Even in my 8th grade class they give more information.

Answer:

0.6293

Step-by-step explanation:

The \(z\) score for $24000 is \(\frac{24000-25000}{3000} \approx 0.333\).

\(P(z<0.333)=0.6293\)

Answer:

No, $170

Step-by-step explanation:

Hat = $10

Scarf = $5

12*$10 + 10*$5 = $120 + $50 = $170

9514 1404 393

Answer:

  the listed sequences have no common difference(s)

Step-by-step explanation:

The differences in the first sequence are ...

  8, 10, -1, 19

These values are not equal, so there is no common difference.

__

The differences in the second sequence are ...

  -3, 3, -3, 3

These values are not equal, so there is no common difference.

_____

The difference is the difference between a term value and the one before.

  1 -(-7) = 8

  3 -6 = -3

17(quarters)

10(dimes)

Hi there !

dimes = 0.1$ = 10c

quarters = 0.25$ = 25c

d + q = 27 => d = 27 - q

10d + 25q = 525

replace d

10(27 - q) + 25q = 525

270 - 10q + 25q = 525

25q - 10q = 525 - 270

15q = 255

q = 255 : 15

q = 17(quarters)

d = 27 - q

= 27 - 17

d = 10(dimes)

Good luck !

Answer:

the functions are inverses of each other

Step-by-step explanation:

if the functions are inverses of each other, then

(f ￮ g)(x) = (g ￮ f)(x) = x

(f ￮ g(x)

f(g(x))

= f(3x + 6)

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

= x + 2 - 2

= x

and

(g ￮ f)(x)

= g(f(x))

= g(\(\frac{x}{3}\) - 2)

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

= x - 6 + 6

= x

since (f ￮ g)(x) = (g ￮ f)(x) = x

then f(x) and g(x) are inverses of each other

Answer:

\(\textsf{Part a:} \quad \left(f \circ g\right)(x)=x\)

\(\textsf{Part b:} \quad \left(g \circ f\right)(x)=x\)

\(\textsf{Part c:} \quad \textsf{Yes, the functions are inverses of each other.}\)

Step-by-step explanation:

Given functions:

\(\begin{cases}f(x)=\dfrac{x}{3}-2\\\\g(x)=3x+6\end{cases}\)

To find the composite function (f o g)(x), substitute function g(x) in place of the x in function f(x).

\(\begin{aligned}\left(f \circ g\right)(x)&=f[g(x)]\\\\&=\dfrac{g(x)}{3}-2\\\\&=\dfrac{3x+6}{3}-2\\\\&=x+2-2\\\\&=x\end{aligned}\)

To find the composite function (g o f)(x), substitute function f(x) in place of the x in function g(x).

\(\begin{aligned}\left(g \circ f\right)(x)&=g[f(x)]\\\\&=3f(x)+6\\\\&=3\left(\dfrac{x}{3}-2\right)+6\\\\&=x-6+6\\\\&=x\end{aligned}\)

If (f o g)(x) = x and (g o f)(x) = x, then the two functions are inverses of each other.

In this case, as (f o g)(x) and (g o f)(x) both equal x, the functions are inverses of each other.

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The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.

Given that,

For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290

We have to find the data of IQR.

We know that,

IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.

IQR Formula is Q₃ - Q₁

So,

Q₃ = 290

Q₁ = 200

Then ,

IQR = Q₃ - Q₁

IQR = 290 - 200

IQR = 90

Therefore, The value of IQR is 90.

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Step-by-step explanation:

Answer:

The Dairy Farm is better deal.

Step-by-step explanation:

Given that:

Per gallon charges of the Spotted Cow = $2.80

Delivery fee = $2

Let,

x be the gallons of milk.

S(x) = 2.80x + 2

Putting x = 20

S(20) = 2.80(20) + 2 = 56 + 2

S(20) = $58

Per gallon charges of the Dairy Farms = $2.10

Delivery fee = $10

D(x) = 2.10x + 10

Putting x = 20

D(20) = 2.10(20) + 10 = 42 + 10

D(20) = $52

Hence,

The Dairy Farm is better deal.

Answer:

Your input has more than one equals sign. Is this equation even written correctly?

Step-by-step explanation:

Answer:

(x,w)=(3/5,-9/85) i think

hope this hepls.

The answer is not one of the options listed. The closest option is (a) 9 * 8 * 7 * 5, but this does not take into account the requirement that the last digit must be odd.

To solve this problem, we can use the multiplication principle, which states that if there are m ways to do one thing and n ways to do another thing, then there are m * n ways to do both things together.

First, we need to choose the last digit of the PIN to be odd. There are 5 odd digits to choose from (1, 3, 5, 7, and 9).

Next, we need to choose the first digit of the PIN. Since it cannot be the same as the last digit, there are only 9 choices left (since 0 is allowed as the first digit).

For the second digit, we can choose from 8 digits (we can't choose the first digit or the last digit, which leaves 8 choices).

For the third digit, we can choose from 7 digits (we can't choose the first digit, the second digit, or the last digit, which leaves 7 choices).

Therefore, the total number of choices for the PIN is:

5 * 9 * 8 * 7 = 2,520

So the answer is not one of the options listed. The closest option is (a) 9 * 8 * 7 * 5, but this does not take into account the requirement that the last digit must be odd.

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Answer: What question do you need help with?

Answer:

do u eat cat litter

Step-by-step explanation:

Step-by-step explanation:

Here is our question

\(0.1+5.2+6.2+5.12+5.3+5.21\)

Solve it and we get

\(27.13\)

The statement that is true for any density curve is b) The total area under the curve is one.

A density curve represents a continuous probability distribution and provides information about the relative likelihood of different values occurring. It is important to understand the properties of density curves in statistics.

Option a) states that a density curve is symmetric. While many density curves, such as the normal distribution, are symmetric, it is not a requirement for all density curves. There are asymmetric density curves, such as skewed distributions.

Option c) suggests that a density curve must either steadily rise or steadily fall, but not both. This statement is incorrect because density curves can have various shapes, including those that rise, fall, or have multiple peaks.

Option d) claims that a density curve has all of these properties. However, this is not true since the requirement of symmetry and the restriction on the shape are not applicable to all density curves.

Option b) is the correct statement. The total area under any density curve must be equal to one. This property ensures that the curve represents a valid probability distribution, where the probabilities of all possible outcomes sum up to one.

In conclusion, option b) is the true statement for any density curve, as the total area under the curve always equals one.

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y = -11x2 – -52 or y = -5.5x – 52

Answer:

1.a and 2.b.

Step-by-step explanation: let's say the area=2. if you multiply by 2, it gets bigger. if d<1, it's like dividing by a number, meaning that the area becomes smaller.

Answer:

1. a

2. b

Step-by-step explanation:

1. If d is greater than one (d>1), then that means that the shape will be dilated outward, or expanded because the number is larger than the unit of 1.

2. Multiplying the coordinates by a fraction that is less than one (0<d<1) makes the shape smaller, because fractions are smaller than the unit of 1.

Applying the law of cosine, b² = a² + c² - 2ac(cos B), the length of AC of the marsh, to one decimal place, is: 522.1 meters

The Law of Cosine is given as, b² = a² + c² - 2ac(cos B).

From the diagram given, we have the following:

Plug in the values into the law of cosine formula:

b² = 220² + 420² - 2(220)(420)(cos 105)

b² = 272,629.8

b = √272,629.8

b = 522.1 meters. (Length of AC of the marsh)

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Answer:

1.25 = X

Step-by-step explanation:

5-2x+2=12-4x-2x

Combine all like terms here.

7-2x=12-6x

Add 2x on both sides.

7=12-4x

Subtract 12 on both sides.

-5=-4x

Divide by -4.

1.25=X

Answer:

200

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Yes because if you insert -39 for x and 42 for y then your equation is:

42 = -39 + 81

If you were to solve this equation it would be true.

If the Uptown bank lends $22200 at 6.9% , then the amount of each monthly payment is (d) $530.57  .

The amount that Uptown bank will lend is = $22200 ,

the rate is = 6.9% ,since it is compounded monthly ,

So , monthly rate is = 6.9%/12 = 0.00575 ,

the time for which the car is financed is = 48 months ,

So , to calculate the monthly payment, we can use the formula:

⇒ P = (PV × r)/(1 - (1 + r)⁻ⁿ)

Where P is monthly payment, PV is present value of loan, r = monthly interest rate, and n = number of payments.

In this case, PV = $22200, r = 6.9%/12 = 0.00575 (monthly interest rate), and n = 48.

Substituting these values in monthly payment formula, we get:

⇒ P = (22200×0.00575)/(1 - (1 + 0.00575)⁻⁴⁸)

⇒ P ≈ $530.57

Therefore, the monthly payment will be approximately $530.57 . The correct answer is (d) $530.57 .

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The given question is incomplete , the complete question is

Uptown bank will lend you $22,200 at 6.9 percent, compounded monthly, to purchase a car. if you finance the car for 48 months, what will be the amount of each monthly payment?

(a) $593.60

(b) $549.08

(c) $578.38

(d) $530.57

Reaction rates decline with time because the reactants are consumed over time, reducing the number of reactant particles available for reaction.

The components that are involved in a chemical reaction are known as reactants. They are the beginning ingredients that are changed into new compounds, known as products, through a chemical process. The left side of a chemical equation is often used to represent reactants, whereas the right side is used to indicate products. The quantity and kind of reactants and products affect the kind of chemical reaction that takes place. Pure substances, such as elements or compounds, or combinations of substances, can function as reactants with time. In a chemical reaction, reactants are changed into products by chemical bonds being broken and formed, releasing or absorbing energy in the process.

How to solve?

As the number of reactant particles decreases, the rate of reaction also decreases. This phenomenon can be observed in many chemical reactions, including reactions that involve the decay of radioactive elements.To correctly process data on the decline of reaction rates with time, it is important to choose the appropriate data points for linear regression. This typically involves selecting data points at regular intervals, such as every minute or every hour, to accurately represent the decline in reaction rates over time. By choosing the right data points and performing linear regression, it is possible to accurately model the decline in reaction rates and make predictions about future reactions.

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Answer:

x = - 10, x = 2

Step-by-step explanation:

Given

(x + 10)(2x - 4) = 0

Equate each factor to zero and solve for x ( zero product property )

x + 10 = 0 ⇒ x = - 10

2x - 4 = 0 ⇒ 2x = 4 ⇒ x = 2

The given expression is;cos(csc 3 - cot⁻¹2)

To find the value of this expression, we will use the formulae;

sin⁻¹x + cos⁻¹x = π/2csc⁻¹x + sec⁻¹x

= π/2tan⁻¹x + cot⁻¹x

= π/2

Recall the definitions of csc and cot functions;

csc(x) = 1/sin(x)cot(x)

= 1/tan(x)

= cos(x)/sin(x)

Substitute cot(x) in terms of cos(x) and sin(x);

cot⁻¹2 = cos⁻¹(1/2) / sin⁻¹(1/2)

Using the definition of sin and cos functions;

cos²x + sin²x = 1

We have

cos⁻¹(1/2) = π/3sin⁻¹(1/2)

= π/6csc(3)

= 1/sin(3)

Now, substitute the value of cot⁻¹2;

cos(csc 3 - cot⁻¹2) = cos(csc 3 - cos⁻¹(1/2) / sin⁻¹(1/2))

= cos(csc 3 - π/3 + π/6)

Apply the formula;

cos(A + B) = cosAcosB - sinAsinBcos

(csc 3 - π/3 + π/6) = cos(csc 3)cos(π/6) - sin(csc 3)sin(π/6)

= [cos(csc 3) * √3]/2 - [sin(csc 3) * 1]/2

= (√3 cos(csc 3) - sin(csc 3))/2

Therefore, the value of cos(csc 3 - cot⁻¹2) is (√3 cos(csc 3) - sin(csc 3))/2.

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