expand (2x2^+3)(4x+5)-8x(x2^-2)

Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.

The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).

According to the problem, the total interest earned after one year is $519. So we can set up the equation:

0.11x + 0.07(6500 - x) = 519

Simplifying the equation:

0.11x + 455 - 0.07x = 519

0.04x + 455 = 519

0.04x = 64

x = 64 / 0.04

x = 1600

Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

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Answer:

you get 3367/500 which is equal to 6.734 wherever that is on the line

Step-by-step explanation:

put it in a calculator man

Answer:

i think the fourth one is equvilent ratio

Step-by-step explanation:

Answer:

A , B and C

Step-by-step explanation:

evaluate the expressions following the order of operations as set out in PEMDAS

initial expression

note that • indicates multiplication

3 (2 + 6) + 4 × 5 ← evaluate parenthesis

= 3(8) + 20 = 24 + 20 = 44

A

5 × 4 + 3 × (6 + 2) ← evaluate parenthesis

= 5 × 4 + 3 × 8 ← perform multiplication

= 20 + 24 ← perform addition

= 44

B

(6 + 2) × 3 + 4 × 5 ← evaluate parenthesis

= 8 × 3 + 4 × 5 ← perform multiplication

= 24 + 20 ← perform addition

= 44

C

3 × 2 + 3 × 6 + 4 × 5 ← perform multiplications

= 6 + 18 + 20 ← perform addition

= 44

D

3 × 2 + (6 + 4) × 5 ← evaluate parenthesis

= 3 × 2 + 10 × 5 ← perform multiplication

= 6 + 50 ← perform addition

= 56

the expressions equivalent to the initial expression are A , B and C

Answer:

for some reason i cant see ur attachment. lo siento

Given:

The area of the projection is

The width of the projection is w =(x-4) feet.

Let l be the height of the projection.

The shape of the projection is a rectangle.

Consider the formula for the area of the rectangle.

Cancel out the common factor.

Hence the height of the projection is (x-8).

b)

Given:

Height of the wall x=10 ft.

We know that the width of the projection w =(x-4) and height of the projection l=(x-8).

Substitute x=10 in the equation l and w, we get

Consider the perimeter of the rectangle.

Substitute l=2 and w=10 in the formula, we get

Hence the perimeter of the projection is 16 ft when the height of the wall is 10 ft.

Answer:

11) 1/3

12) 5/3

13) -3/5

14) 4/3

15) -3/5

16) 2/4

Step-by-step explanation:

The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.

The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:

High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.

Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.

Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.

Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.

Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.

However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.

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Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).

Meaning of probability :

Probability is calculation of how likely some event will happen. Whenever we are not sure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are going to happen.

The analysis of events governed by probability is called statistics.

According to the given information :

Red section = \(\frac{2}{5}\)

multiply numerator and denominator by \(2\) we get

Red section = \(\frac{4}{10}\)

 Blue section = \(\frac{1}{2}\)

 multiply numerator and denominator by \(5\) we get

 Blue section = \(\frac{5}{10}\)

 Green section = \(1\)- Red section - Blue section

 Green section =\(1-\frac{4}{10} -\frac{5}{10}\)

  Green section = \(\frac{1}{10}\)

Therefore Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).

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let the numbers be a and b, a>b

a+b=6(a-b)

we need to find reciprocal of ratio of larger to smaller , which will be same as ratio of smaller to larger or b/a, let's call it x

divide the equation by a.

1+x=6(1-x)

on solving, x=5/7

Answer:

SAS, HL, and something else

Answer: HL SAS SSS

Step-by-step explanation:

From the coordinate plane, the podium that could be located relative to the center will be B. 288 feet west.

From the complete information, there is a park in Washington and the event planner plots the park on a coordinate plane.

The table contains points along the perimeter of the park. Since the event planner wants to put a podium at one of the foci, the point where the podium could be located relative to the center will be 288 feet west.

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Answer:

The answer would be 1, 3, 5, 7, 9.

Answer:

30,000

Step-by-step explanation:

If not, try 25,000

Answer:

25,000

Step-by-step explanation:

brainlest please

The product and the quotient of the functions are as follows:

(rs)(4) =8

(r / s)(3) = 2

A function relates input and output. It relates an independent variable with a dependent variable.

Therefore, let's solve the function as follows:

r(x) = 2√x

s(x) = √x

Therefore, let's find

(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8

Let's find

(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2

Therefore,

(rs)(4) =8

(r / s)(3) = 2

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Solution :

Here the probability that exactly 28 out of 304 students will not graduate on time. That is

P (x = 28)

By using the normal approximation of binomial probability,

\($P(x=a) = P(a-1/2 \leq x \leq a+1/2)$\)

∴ \($P(x=28) = P(28-1/2 \leq x \leq 28+1/2)$\)

                   \($=P(27.5 \leq x \leq 28.5)$\)

That is the area between 27.5 and 28.5

Therefore, the correct option is (e). Area between 27.5 and 28.5

Answer:

52

Step-by-step explanation:

so first you do 10x14=140

next you have to do 12x16=192

then u have to do 192-140=52in squared

Answer:

NO

Step-by-step explanation:

“PEMDAS” (parenthesis, exponents, multiplication, division, addition, subtraction)

so you need to sole 4x and after add 10

Answer:

30

Step-by-step explanation:

1500/50=30

Answer: Broken Math Problem

Step-by-step explanation:

Answer:

12:20:35

Step-by-step explanation:

common factor of Q so I would assume

times both sides to establish Q as a common factor

3:5 times by 4 = 12:20

4:7 times by 5 = 20:35

p:q:r = 12:20:35

PS its 2:51 am so dont judge if I have misinterpreted the question

Answer:

Step-by-step explanation:

LCM of 5 and 4 ( the Q values) = 20

So we make both Q values = 0 and multiply the other to values as follows:

3*4 : 5*4 and 4*5 : 7*5

= 12:20:35.

Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

a. The probability of no insect contaminants in a 225-gram bar from a brand at the mean contamination level can be found using the Poisson probability formula:

\(P(X = 0) = \frac{ (e^{-λ})(λ^0)}{0!} = \frac{(e^{-14.4})(14.4^0)}{0!}= 0.000000831\)

b. If you consume a bar that is one-fifth the size tested (45 grams) from a brand at the mean contamination level, the mean number of insect fragments would be one-fifth of 14.4, or 2.88. The probability of no insect contaminants can be found using the Poisson probability formula:

\(P(X = 0) = \frac{(e^-λ)(λ^0)}{0!} = \frac{(e^-2.88)(2.88^0)}{0!} = 0.056032\)

c. If you consume seven 28.35 gram (one-ounce) bars this week from a brand at the mean contamination level, the mean number of insect fragments would be (7 * 28.35/225) * 14.4 = 5.4336.

The probability of consuming one or more insect fragments in more than one bar can be found using the Poisson probability formula and the complement rule:

\($$\begin{aligned}& P(X>1) \\& =1-P(X \hat{a} 1) \\& =1-\left[\left(e^{-} \hat{I}\right)\left(\hat{I}^0\right) / 0 !+\left(e^{-} \hat{I}\right)\left(\hat{I}^1\right) / 1 !\right] \\& =1-\left[\left(e^{-} 5.4336\right)\left(5.4336^0\right) / 0 !+\left(e^{-} 5.4336\right)\left(5.4336^1\right) / 1 !\right] \\& =0.994784\end{aligned}$$\)

d. The probability of contamination more than twice the mean of 14.4 can be found using the Poisson probability formula and the complement rule:

\(P(X > 28.8) = 1 - P(X ≤ 28.8) \\= 1 - ∑(e^-λ)(λ^x)/x!\\ = 1 - 0.999999999999999 \\= 0.000000000000001\)

This probability is extremely small, so it can be considered unusual and not typical variation.

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Answer:

The second one

Step-by-step explanation:

Right on Edge:

The probability of landing on the dark blue target is 2/5.

Probability is the ratio of required to the total possible outcomes of an event.

P(dark blue ) = 40/100

divide through by 20

P(dark blue ) = 2/5

Therefore, the probability of landing on target is 2/5

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Answer:

i agreee

Step-by-step explanation:

Answer:

The equation for the value of OU is;

Explanation:

Given that S is the midpoint of segment OU.

Then;

Given in the question;

Substituting the values of OS and SU to get OU;

Therefore, the equation for the value of OU is;

\(-1 + i\sqrt3\) lies in the second quadrant of the complex plane, so its argument is

\(\arg(-1 + i\sqrt3) = \pi - \tan^{-1}\left(-\sqrt3\right) = \dfrac{2\pi}3 = 120^\circ\)

Then any sixth root of \(-1+i\sqrt3\) will have an argument of

\(\dfrac{120^\circ + 360^\circ n}6\)

where \(n\in\{0,1,2,3,4,5\}\).

When \(n=0\), we have

\(\dfrac{120^\circ}6 = 20^\circ\)

so D is a sixth root.

The other sixth roots are separated by arguments of 60 degrees (80, 140, 200, 260, and 320).

Answer:

  (-10x^4+17x^4u^3)/(2u^2)

Step-by-step explanation:

To simplify the expression, cancel common factors from numerator and denominator.

__

  \(\dfrac{10x^7u-17x^7u^4}{-2x^3u^3}=\dfrac{x^7u(-10+17u^3)}{2x^3u^3}\\\\=\dfrac{x^4(-10+17u^3)}{2u^2}=\boxed{\dfrac{-10x^4+17x^4u^3}{2u^2}}\)