Who here got zoom and can do math?

Answer:

40

Step-by-step explanation:

This is an example of a composite function. And, in order to answer the given problem, we need to calculate first the inner function.

In this example, we have:

\(f(x) = x^{2} - 3x + 6\\g(x) = 5x - 10\)

And, we are tasked to calculate the \(g(f(-4))\). Let's calculate first the \(f(-4)\).

\(f(x) = x^{2} + 3x + 6\\f(-4) = (-4)^{2} + 3(-4) + 6\\f(-4) = 16 - 12 + 6\\f(-4) = 4 + 6\\f(-4) = 10\)

Let's substitute this value to the function of g to get the final answer.

\(g(x) = 5x - 10\\g(f(-4)) = 5(10) - 10\\g(f(-4)) = 50 - 10\\g(f(-4)) = 40\)

Thus, the final answer was 40.

Answer:

3 days.

Step-by-step explanation:

All you need to do is take th amout you want to o have by the end of a period and divide it by hw much they make in one day.

The two triangles are congruent since they have equal angles and equal sides.

Congruent triangles are two triangles that have exactly the same size and shape.

In other words we can say that they have the same angles and the same side lengths.

So when two triangles are congruent, all of their corresponding parts including the angles and sides are equal.

For the given triangles

The missing value of angle C = 180 - (18 + 110) = 52⁰

The missing value of angle F = 180 - (18 + 52) = 110⁰

So it is obvious that the two triangles are congruent since they have equal angles and equal sides.

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Answer:

True

Step-by-step explanation:

Complementary means they should sum to 90 degrees

34+56=90

Answer:

True

Step-by-step explanation:

Complementary angles are angles that add to 90 degrees, or a right angle.

If the two angles are complementary, then they will add to 90 degrees.

One angle is 34°, and it's complement is 56°.

Add the angles.

34°+56°

90°

Since they add to 90 degrees, they are complementary angles. Therefore, the statement is true.

Answer:

attachment

Step-by-step explanation:

see the attachment

Given that.

\(\displaystyle f(x)=\int {\dfrac{dx}{e^x+8e^{-x}+4e^{-3x}}}\)

and,

\(\displaystyle g(x)=\int {\dfrac{dx}{e^{3x}+8e^{x}+4e^{-x}}}\)

To perform mathematical operations on f(x) and g(x), they should have the same denominator.

Multiplying & Dividing f(x) by e^2x,

\(\longrightarrow \: \displaystyle f(x)=\int {\dfrac{e {}^{2x} dx}{e^{3x}+8e^{x}+4e^{-x}}}\)

Now,

\(\begin{gathered} \longrightarrow \: \displaystyle \int \bigg( f(x) - 2g(x) \bigg)=\int {\dfrac{e {}^{2x} dx}{e^{3x}+8e^{x}+4e^{-x}}} - \int {\dfrac{dx}{e^{3x}+8e^{x}+4e^{-x}}} \\ \\ \longrightarrow \ \: \displaystyle \int \bigg( f(x) - 2g(x) \bigg)=\int {\dfrac{(e {}^{2x} - 2) dx}{e^{3x}+8e^{x}+4e^{-x}}}\end{gathered}

\)

Multiplying & Dividing by e^x,

\(\longrightarrow \ \: \displaystyle \int \bigg( f(x) - 2g(x) \bigg)=\int {\dfrac{ {e}^{x} (e {}^{2x} - 2) dx}{e^{4x}+8e^{2x}+4} }\)

Let's assume t = e^x

Differentiating on both sides w.r.t x,

\(dx = \dfrac{dt}{e {}^{x} }\)

Thus,

\(\longrightarrow \ \: \displaystyle \int \bigg( f(x) - 2g(x) \bigg)=\int {\dfrac{ {e}^{x} (t{}^{2} - 2)}{t^{4}+8t^{2}+4} } \times \dfrac{dt}{ {e}^{x} }\)

Dividing Numerator and Denominator by t²,

\(\longrightarrow \ \: \displaystyle \int \bigg( f(x) - 2g(x) \bigg)=\int {\dfrac{ (1 - \dfrac{2}{ {t}^{2} } )dt}{t^{2}+8+ \dfrac{4}{ {t}^{2} } } }\)

Consider t² + 8 + 4/t².

It can be rewritten as (t + 2/t)² + 4 = (t + 2/t)² + 2

\(\longrightarrow \ \: \displaystyle \int \bigg( f(x) - 2g(x) \bigg)=\int \dfrac{ (1 - \dfrac{2}{ {t}^{2} } )dt}{(t + \dfrac{2}{t} ) {}^{2} + {2}^{2} }\)

Here,

If y = t + 2/t and differentiating w.r.t t,

\(\implies dy = ( 1 - \dfrac{2}{t {}^{2} } )\)

Therefore,

\(\longrightarrow \ \: \displaystyle \int \bigg( f(x) - 2g(x) \bigg)=\int \dfrac{dy}{ {y}^{2} + {2}^{2} }\)

Of the form,

\(\boxed{ \boxed{ \sf \displaystyle \int \dfrac{dx}{ {x}^{2} + {a}^{2} } = \dfrac{1}{a}tan {}^{ - 1}( \dfrac{x}{a} ) }} \)

Further,

\(\begin{gathered} \longrightarrow \ \: \displaystyle \int \bigg( f(x) - 2g(x) \bigg) = \dfrac{1}{2} {tan}^{ - 1} \bigg( \dfrac{y}{2} \bigg) \\ \\ \longrightarrow \ \: \displaystyle \int \bigg( f(x) - 2g(x) \bigg) = \dfrac{1}{2} {tan}^{ - 1} \bigg( \dfrac{t {}^{2} + 2}{2t} \bigg) \\ \\ \longrightarrow \ \boxed{ \boxed{\displaystyle \int \bigg( f(x) - 2g(x) \bigg) = \dfrac{1}{2} {tan}^{ - 1} \bigg( \dfrac{ {e}^{2x} + 2 }{2 {e}^{x} } \bigg)}}\end{gathered} \)

The required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

An arrangement of numbers in which the numbers are arranged from smallest to greatest numbers is called ascending order.

Given that, some numbers, 3√2, √3 − 1, √19 + 1, 6, 2√10 ÷ 5 and √14.

We need to order them from least to greatest,

3√2 = 4.24

√3 − 1 = 0.73

√19 + 1 = 5.35

6

2√10 ÷ 5 = 1.26

√14 = 3.74

The order from least to greatest is :-

0.73, 1.26, 3.74, 4.24, 5.35 and 6

i.e.

√3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

Hence, the required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

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The equation that represents the total number of black and white squares on the chess board is 8 * 2² = 32

From the question, we have the following parameters that can be used in our computation:

The chess board

From the chess board, we have

Black squares = 32

White squares = 32

When factorized, we have

Black squares = 32 = 8 * 2²

White squared = 32 = 8 * 2²

Hence, the equation that represents the squares on the chess board is 8 * 2² = 32

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Answer:

D

Step-by-step explanation:

(eˣ − e⁻ˣ) / (eˣ + e⁻ˣ) = t

Multiply by eˣ/eˣ.

(e²ˣ − 1) / (e²ˣ + 1) = t

Solve for e²ˣ.

e²ˣ − 1 = (e²ˣ + 1) t

e²ˣ − 1 = e²ˣ t + t

e²ˣ = 1 + e²ˣ t + t

e²ˣ − e²ˣ t = 1 + t

e²ˣ (1 − t) = 1 + t

e²ˣ = (1 + t) / (1 − t)

Solve for x.

2x = ln[(1 + t) / (1 − t)]

x = ½ ln[(1 + t) / (1 − t)]

Use log rule.

x = ln(√[(1 + t) / (1 − t)])

The weight of the beaker, including the weight of the water, is approximately 173.1 ounces when rounded to the nearest tenth. To find the weight of the beaker when filled with water, including the weight of the cylindrical beaker itself, we need to calculate the weight of the water and add it to the weight of the empty beaker.

First, let's find the volume of the water in the beaker. The beaker is filled to one inch from the top, which means the height of the water is 11 - 1 = 10 inches.

The volume of the water can be calculated using the formula for the volume of a cylinder: \(V = \pi r^2h\), where r is the radius and h is the height.

\(V = \pi (3^2)(10) = 90\pi\) cubic inches

Next, we need to find the weight of the water. Given that one cubic inch of water weighs 0.6 ounces, we can multiply the volume of the water by 0.6 to get the weight of the water.

Weight of water = 90π x 0.6 = 54π ounces

Finally, we need to add the weight of the empty beaker, which is 3.5 ounces, to the weight of the water.

Weight of beaker with water = 54π + 3.5 ounces

To find the approximate value, we can use the value of π as 3.14.

Weight of beaker with water ≈ 54 x 3.14 + 3.5 ≈ 169.56 + 3.5 ≈ 173.06 ounces

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Answer:

i think 20 is above 12 and 17 under 30 and 36 is on top of 20 the rule is .50(x) +2

Answer:

Step-by-step explanation:

c = 0.5t + 2

12 = 0.5t + 2 ⇒ 0.5t = 10 ⇒ t = 20

c = 0.5(30)  + 2 ⇒ c = 17

20 = 0.5t + 2 ⇒ 0.5t = 18 ⇒ t = 36

Answer: recantagle

Step-by-step explanation:

Answer:

Presumably the first graph solely based on its shape.

Graph A is showing the exponential function. Then the correct option is A.

The mathematical expression f(x)= \(e^x\) denotes the exponential function. The term typically refers to the positive-valued function of a real variable, unless otherwise specified.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. In graph A we can see that the values are varying exponentially from the second quadrant to the first quadrant.

Hence, the correct option is A.

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Answer:

The values of p = 0 < p ≤ 2/3

Step-by-step explanation:

First we write the probability of 6V flashlight working representing it as a binomial mass function of a binomial random variable

P ( 6v flashlight working  ) = P ( at least one 6V battery works )

                                           = P ( 1 6v battery work )  + P ( 2  6v battery work )

                                           = b( 2; 2, p ) + b( 1; 2, p )

write out a formula of  b( 2; 2, p ) + b( 1; 2, p )

P ( 6v flashlight working  )  = p^2 + 2p( 1 - p )

Next we write the probability of D flashlight working representing it as a binomial mass function of a binomial random variable

P ( D flashlight works ) = p ( at least two D batteries works )

                                     = b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

write out a formula of  b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

P ( D flashlight works ) = \(P^4 + 4p^3 ( 1- p ) + 6p^2 ( 1- p)^2\)

attached below is the remaining solution

According to the given data, the firm in question must be a price-taker, which is a perfectly competitive firm.

A price-taker is basically an individual or a particular company that must accept prices that are prevailing in a market and lacks the market share to be able to influence the market price on its own. All the economic participants can be considered to be price-takers in a market consisting of perfect competition.

In the given data set, the marginal revenue is constant which is very typical for competitive firms. This happens because the market decides the optimal price level and companies do not have much say over the price. This is a way by which they can maximize profits.

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The payment rate that is required to pay off the loan in 3 years is $3139.88 per year. The borrower will pay approximately $1695.64 in interest over the 3-year period.

The differential equation that models this situation is:

dy/dt = 0.10y - k

where y(t) is the amount owed at time t, 0.10 is the annual interest rate, and k is the annual payment rate. The initial condition is y(0) = $8000.

The first term on the right-hand side represents the interest that accumulates on the loan, and the second term represents the payments made by the borrower.

To determine the payment rate k that is required to pay off the loan in 3 years, we need to solve the differential equation with the initial condition y(0) = $8000 and the terminal condition y(3) = 0.

The general solution to the differential equation is:

y(t) = (8000/k) e^(0.10t) - (8000/k)

Setting t = 3 and y(3) = 0, we get:

0 = (8000/k) e^(0.30) - (8000/k)

Solving for k, we get:

k = 3139.88

Therefore, the payment rate that is required to pay off the loan in 3 years is $3139.88 per year.

To determine how much interest is paid during the 3-year period, we can integrate the interest rate over the time interval [0, 3]:

∫[0,3] 0.10y(t) dt = ∫[0,3] 0.10[(8000/k) e^(0.10t) - (8000/k)] dt

= (8000/k) [e^(0.30) - 1] - 2400

Substituting k = 3139.88, we get:

∫[0,3] 0.10y(t) dt ≈ $1695.64

Therefore, the borrower will pay approximately $1695.64 in interest over the 3-year period.

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____The given question is incomplete, the complete question is given below:

A certain college graduate borrows $8000 to buy a car. The lender charges interest at an annual rate of 10%. Assume that interest is compounded continuously and that the borrower makes payments continuously at a constant annual rate k. (a) Write a differential equation that models this situation, including the initial condi- tion. (b) Determine the payment rate k that is required to pay off the loan in 3 years. (c) Determine how much interest is paid during the 3-year period.

if an object that has a mass of 73,430 kilograms and a volume of 7m³ then the density is 10490k/m³.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity

Given that mass of an object is 73,430 kilograms and a volume of 7m³

The formula for density is mass by volume

Density=73,430/7

Seventy three thousand four hundred and thirty divided by seven

=10490k/m³

Hence, if an object that has a mass of 73,430 kilograms and a volume of 7m³ then the density is 10490k/m³.

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Answer:

Step-by-step explanation:

22.57 cm inches are the net weight of the slope

The scenerio that represents an example of mutualism would be an ant colony living on an acacia tree and not allowing vines to grow on the bark. That is option D.

Mutualism is defined as the feeding relationship where by the both organisms which are involved work together to benefit from each other.

A typical example of mutualism is the relationship that exists between the ant and the acacia tree.Here, the ant colony living on an acacia tree and not allowing vines to grow on the bark shows that both organisms benefits from each other.

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Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.

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The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

The three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.

The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.

The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.

The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

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The Question in English

A Basic Education teacher tells his students to choose three digits

different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits

in the locker It also reminds them that the fractional part has to be

less than 1, for example

2

3

5

. What is the difference between the greatest and the least of the

mixed numbers that can be formed?

1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

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Answer:

9/8

Step-by-step explanation:

3/2*3/4

3*3=9

2*4=8

9/8

Answer:

9/8

Step-by-step explanation:

\(\frac{3}{2}\) x \(\frac{3}{4}\) = 9/8

The new price of the shirt is $11.70

The given parameters are

Price = 6.50

Make up percentage = 80%

The price of the shirt in the store is calculated as

New price = Old price + Old price * Make up percentage

Substitute the known values in the above equation

So, we have the following equation

New price = 6.50 + 6.50 * 80%

Evaluate the product

So, we have the following equation

New price = 6.50 + 5.20

Evaluate the sum

So, we have the following equation

New price = 11.70

Hence, the price of the shirt in the store is $11.70

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Answer:

Payback B

Step-by-step explanation:

Thx for the points bbg

Answer:

442

Step-by-step explanation:

you can download g a u t h m a t h for questions like this, good luck :D

Answer:

a) 1365 different ways.

b) 126 different ways.

c) 504 different ways.

d) 1239 different ways.

Step-by-step explanation:

The order in which the delegates are chosen is not important, which means that we use the combinations formula to solve this question.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

(a) How many different delegations are possible?

4 delegates from a set of 15. So

\(C_{15,4} = \frac{15!}{4!11!} = 1365\)

1365 different ways.

(b) How many delegations would have all Democrats?

4 delegates from a set of 9. So

\(C_{9,4} = \frac{9!}{4!5!} = 126\)

126 different ways.

(c) How many delegations would have 3 Democrats and 1 Republican?

3 from a set of 9 and 1 from a set of 6. So

\(C_{9,3}*C_{6,1} = \frac{9!}{3!6!}*\frac{6!}{1!5!} = 84*6 = 504\)

504 different ways.

(d) How many delegations would include at least 1 Republican?

Subtract the number of delegations with only democrats(126) from the total(1365). So

1365 - 126 = 1239

1239 different ways.

394 subscribers are represented in the venn diagram.

Venn diagrams are charts that are used to visually represent relationships between sets, operations on those relationships, and set relationships. The Venn diagram, which uses circles that are overlapped, intersected, and not intersected to depict the relationship between sets, was created by John Venn. A set diagram or a logic diagram is another name for a Venn diagram, which shows a variety of set operations such the intersection, union, and difference of sets.

Additionally, it can be used to set items. a depiction of each relationship between several sets. Any closed figure, such as a circle or a polygon (square, hexagon, etc.), can be used to represent a Venn diagram. However, each group is typically represented as a circle.

according to the venn diagram

196+41+21+52+84 = 394

There are 394 subscribers

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Answer:

238

Step-by-step explanation:

juans has 10 more than kevin's, so you just subtract 10 from 248, getting 238

Compounded Continuously:

A=Pe^{rt}

A=Pe

rt

P=1100\hspace{35px}r=0.051\hspace{35px}t=18

P=1100r=0.051t=18

Given values

A=1100e^{0.051(18)}

A=1100e

0.051(18)

Answer: 2,750

Explanation:

Plug in

A=1100e^{0.918}

A=1100e

0.918

Multiply

A=2754.70450683

A=2754.70450683

Use calculator (with e button)

A\approx 2750

A≈2750

Round to nearest ten dollars

please heart!

VVV                   and rate stars! VVV          :D

The amount of money after 18 years nearest to ten will be $2,750.

Theoretically, long-term average interest means that interest is continuously earned on a current account as well as reinvested into the balance to increase future interest earnings.

The equation is given as,

\(\rm A=P_o \times e^{r \times t}\\\)

Faith invested $1,100 in an account paying an interest rate of 5.1% compounded continuously.

Then the amount after 18 years is calculated as,

\(\rm A = \$1,100 \times e^{0.051 \times 18}\\A = \$1,100 \times e^{0.918}\)

Simplify the equation further, then we have

A = $1,100 x 2.504

A = $2,754.7

The amount of money after 18 years nearest to ten will be $2,750.

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