Boden’s account has a principal of $800 and a simple interest rate of 3.3%. Complete the number line. How much money will be in the account after 4 years, assuming Boden does not add or take out any money?

Answer:

-21°C

Step-by-step explanation:

Since the plane is flying at an altitude of 5 kilometers, then we have to multiply 6.4 by each kilometer that the plane's altitude increased (5). After that, we will end up with 32°C that we have to subtract from the ground temperature of 11°C. Once we do that, we get -21°C which means that the temperature at an altitude of 5 kilometers is -21°C.

(sorry if this is confusing but I hope this helped)

Answer:

3.375

Step-by-step explanation:

1 1/2*1 1/2*1/2=3.375

Given: The statement in the question

To Determine: The angle the cable form with the ground

Solution

The statement can be represented using the diagram below

Using trigonometry ratio

Hence, the angle the cable makes with the ground approximately to the nearest degree is 67⁰

The Polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

The quotient and remainder when the polynomial x⁵ + x³ - 5 is divided by x - 2, we can use polynomial long division. Here's the step-by-step process:

1. Write the dividend (x⁵ + x³ - 5) and the divisor (x - 2).

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

2. Divide the first term of the dividend (x⁵) by the first term of the divisor (x) to get x⁴. Write x⁴ above the line. x⁴

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

3. Multiply the divisor (x - 2) by the quotient term (x⁴) to get x⁵ - 2x⁴. Write this under the dividend and subtract it.  x⁴

  x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

4. Bring down the next term (-5) from the dividend.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

5. Divide the first term of the new dividend (3x⁴) by the first term of the divisor (x) to get 3x³. Write 3x³ above the line.

 x⁴ + 3x³

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

6. Multiply the divisor (x - 2) by the new quotient term (3x³) to get 3x⁴ - 6x³. Write this under the new dividend and subtract it.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

7. Repeat steps 4-6 until you have subtracted all terms.

x⁴ + 3x³ + 6x² + 12x + 24

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

- (6x³ - 12x²)

12x² + 0x + 0

 - (12x² - 24x)

 24x + 0

- (24x - 48)

 48

8. The quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

Therefore, when the polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

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Answer:

Step-by-step explanation:

We can start by setting up an equation to solve for x, the number of years it will take for the car to be worth $8,200:

8200 = 20000(0.8)^x

Dividing both sides by 20,000, we get:

0.41 = 0.8^x

Taking the logarithm of both sides (using any base, as long as we're consistent), we get:

log(0.41) = log(0.8^x)

Using the property of logarithms that allows us to bring down the exponent as a coefficient, we get:

log(0.41) = x log(0.8)

Dividing both sides by log(0.8), we get:

x = log(0.41) / log(0.8)

Using a calculator, we find:

x ≈ 5.92

Therefore, it will take about 5.92 years for the car to be worth $8,200.

Answer: Evaluation : 6x^2  +37x+38           Factor: 6(x − - √ 457-37/12  )(x−  √ 457-37/12)

Step-by-step explanation: Evaluation: (6x ^2 +36x+33)+(x+5)

Combine 36x and x to get 37x.

6x  ^2 +37x+33+5

Add 33 and 5 to get 38.

6x  ^2  +37x+38

Factor: Its pretty long

The length of the segment is 2.4 centimeters.

The scale is 2.4 cm :24 mm.

How to change mm to cm?

One millimeter, or one-thousandth of a meter, is equal to one mm. One centimeter, also known as one hundredth of a meter, is equal to one centimeter.

Accordingly, 1 cm 10 mm. Divide the number of mm by 10 to get the number of cm when converting mm to cm.

Given that length of the segment is 24mm. now we know that,1 mm is equal to 0.1 cm,

So,

\(10 \: mm=1 \: cm \\ or, \: 1 \: mm = \frac{1}{10} \: cm \\ or, 24 \: mm × ( \frac{1}{10} ) = 2.4 \: cm.\)

The scale is 2.4 cm :24 mm.

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Horizontal changes are often the opposite of what you'd expect to see in the formula.

12:

To shrink/compress horizontally by a factor of 2/3, you need \(g(x) = f(\frac{3}{2}x)\).

Notice we have the reciprocal inside of the function notation.

13:

To translate left 5 units, you have \(g(x) = f( x+5 )\).

Notice we have the opposite sign inside of the function notation.

Answer:

Step-by-step explanation:

Cross multiply,

74* b = 600 * 100

74b = 60000

b = 60000/74 = 810.8

Answer:

D. A pair of intersecting lines

Step-by-step explanation:

A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.

I hope this helps you ace your math question.

Answer: 1,632

Step-by-step explanation:

you have to multiply 68 and 24 and when you do so, you'll get 1,632 as your answer.

The missing ordered pairs that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

The equation given is y = 2x + 4. To compute the missing x and y values, we need to substitute the given ordered pairs into the equation and solve for the missing variable.

Let's assume we have an ordered pair (x, y) that satisfies the equation y = 2x + 4.

For example, let's say one missing value is x = 3. We can substitute this into the equation:

y = 2(3) + 4

y = 6 + 4

y = 10

So, the missing ordered pair is (3, 10).

Similarly, if another missing value is y = 8, we can substitute this into the equation and solve for x:

8 = 2x + 4

4 = 2x

x = 2

So, the missing ordered pair is (2, 8).

In summary, the missing x and y values that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

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Answereippcb.jrc.ec.europa.eu

Step-by-step explanation:

this I the wed go on it and you will get your answer

Answer:

10

Step-by-step explanation:

5x+37=87

5x=87-37

5x=50

X=50÷5

X=10

Answer:

Step-by-step explanation:

Answer:

90  berries

Step-by-step explanation:

Answer:

B.) a line labeled g(x) that passes through points 0, negative 3 and 4, 5

Step-by-step explanation:

I graphed both equation on the graph below to find the description of the graph of g(x).

Answer:

b for brakes?

Step-by-step explanation:

Answer: 66%

Step-by-step explanation: To convert a fraction to a percentage, divide the top number by the bottom number. For example, \(\frac{1}{4}\) is 25% because if divide them, (1÷4=0.25) then we get 25%. So, for this problem, we solve 2÷3, which equals 0.66, or 66%.

hope this helps!

please give brainliest!

9514 1404 393

Answer:

  B.  6

Step-by-step explanation:

The longest chord of a circle is the diameter, twice the length of the radius.

  2(3 cm) = 6 cm

Answer:

B. 6

Step-by-step explanation:

A chord of a circle is a line segment where both endpoints land on the circumfrence of the circle. The longest chord would be at the diameter, which is 2r (2 x 3).

Hope this helps :)

The m∠ABC is 17°. The solution is obtained using the concept of inscribed angle.

Two chords with a shared termination point on the circle make up an inscribed angle in a circle. The vertex of the angle is this common terminal point. In other words, an angle is said to be inscribed if its vertex is on a circle and both of its sides are chords of the same circle.

An inscribed angle's measurement is equal to half of an intercepted arc's measurement.

It is shown in the figure that length of the arc is 34°.

We are given that ∠ABC is an inscribed angle.

We know that an inscribed angle is half of the arc it comprises.

So, m∠ABC= 34/2

= 17°

Hence, the m∠ABC is 17° .

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Answer:

4.5

Step-by-step explanation:

This will be an easy explanation, but it will take time.

____________________________________________________________

Remember to use the PEMDAS operation.  

P- Paran.

E- Expo.

M- Multi.

D- Dib.

A- Add

S- Sub.

__________________________________________________________

If it wants a numerical expression, round to the nearest whole number.

Answer: 120

Step-by-step explanation: To find the volume of these two combined, we must use V = s*s*s. 4 * 10 * 2 = 80, and 2 * 5 * 4 = 40, and since we are combining this together for an added volume (since it is a tower), it is 120 inches cubed.

Answer: 47/40 miles or 1 and 7/40 miles

Step-by-step explanation:

      We will add these two fractions together by finding common denominators.

3/8 + 4/5 = 15/40 + 32/40 = 47/40 = 1 and 7/40 miles.

Answer:

18x^2 + 33x - 9

Step-by-step explanation:

to combine, i like using the foil method

3x x 6x = 18x^2

3x x -9 = 27x

1 x 6x = 6x

1 x -9 = -9

and then just combine those together

18x^2 + 27x + 6x -9

and then add the 2 in the middle

18x^2 + 33x - 9

The standard error tells us how much we can expect the sample proportion to vary from the true proportion in repeated samples of the same size. Option (d) correctly states that "In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion." This means that if we were to take many samples of 100 students from the same school and calculate the proportion of students who bring a reusable water bottle from home in each sample, about 95% of the sample proportions would fall within +/-0.048 of the true proportion.

The correct option is (d) "In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion."

The standard error of the sample proportion can be calculated using the formula:

SE = √[p*(1-p) / n]

where p is the sample proportion and n is the sample size.

In this case, the sample proportion is 37/100 = 0.37 and the sample size is 100. Plugging in these values, we get:

SE = sqrt[0.37*(1-0.37) / 100] = 0.048

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Answer:

bob has 2530 apples and he has 23 friends. if he were to divide the apples evenly between his friends, how many apples would each friend receive?

this is one possible word problem.

The measure of exterior angle x in the given triangle is 100 degree. Therefore, option C is the correct answer.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

From the given triangle, x=60+40

x=100

Therefore, option C is the correct answer.

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Answer:

id ont givea

efijhaoieuvbhzoiubhoewivbawzoufhbealivjhbr

Step-by-step explanation:

idsifui piuh vSeth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:

In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.

The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.

Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:

In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.

The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.

Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:

In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.

The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.

Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:

In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.

The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.

Which of these could be a step to prove that BC2 = AB2 + AC2?

Answer:

102

Step-by-step explanation: