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How much time will Alex need to walk to his school, which is 2 1 4 miles away from his house, if he would walk with the speed of 3 mph?
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Answer:

Step-by-step explanation:

Answer:

BE = 39/5 or 7.8

Step-by-step explanation:

As <ABC = <DBE trigonometric function is angle BAC and angle BED

so sin (<ABC) = sin(<DBE) and AC and BC , BD and BE

so AC/AB = DE/BE = 13/BE = 5/3

So now we cross multiply

BE = 13 × 3 over 5

13 × 3 = 39

and over 5 means

39/5 = 7.8

Answer:

Nijah has 6 stickers left.

Step-by-step explanation:

Starting stickers:

45

2/5 are given away:

\(\frac{2}{5}\) * 45

\(\frac{2}{5}\) * \(\frac{45}{1}\)

\(\frac{90}{5}\)

18

1/3 of the remaining are given away:

\(\frac{1}{3}\) * 18

\(\frac{1}{3}\) * \(\frac{18}{1}\)

\(\frac{18}{3}\)

6

Nijah has 6 stickers left.

Answer:

18

Step-by-step explanation:

Find the part she gave to her sister

45 *2/5 = 18

The part remaining is

45 - 18 = 27

She gives 1/3 to Brett

27 * 1/3 = 9

She has 27 - 9 = 18

She has 18 remaining

Answer:

He should have divided by 4, not 6....

Step-by-step explanation:

Just did the lesson

Abdul have done error by dividing with 6 instead of 5, So Abdul should have divided by 5, not 6 is correct option.

The area of Rectangle is length times of width.

According to the information provided, the initial dimensions of the pool are a rectangle with length 24 feet and width 15 feet.

The corresponding dimensions in the drawing are a rectangle with length 4 feet and width 3.75 feet.

Therefore, the scale factor for the length is:

24/4 = 6

And the scale factor for the width is:

15 feet / 3.75 feet = 4

Abdul wants to fit the pool into a smaller space, so he needs to find the corresponding dimensions of the pool in the drawing that has a length of 20 feet.

To maintain the same scale, he needs to apply the same scale factor to the new length.

Thus, the new length in the drawing is:

20/6 = 3.33 feet

Similarly, he needs to apply the same scale factor to the new width to maintain the same scale.

Thus, the new width in the drawing is:

18.75/4 = 4.69 feet

Now, let's check Abdul's work:

24/6×6/20=4/3

Left side is not equal to right side.

Abdul should have divided by 5, not 6.

Hence, Abdul have done error by dividing with 6 instead of 5, So Abdul should have divided by 5, not 6 is correct option.

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The normal approximation to the sampling distribution of a proportion can be used when both np and n(1-p) are greater than or equal to 10.

In this problem, we are selecting an SRS of size n=100 from a large population with a proportion p of successes. We need to find the value of p that would make it safe.

To use the normal approximation to the sampling distribution of p.

For each given value of p, we can calculate np and n(1-p), and then determine whether both of these values are greater than or equal to 10.

a) p = 0.85

np = 85, n(1-p) = 15

Both np and n(1-p) are greater than or equal to 10, so the normal approximation is safe.

b) p = 0.975

np = 97.5, n(1-p) = 2.5

Only np is greater than or equal to 10, so the normal approximation is safe.

c) p = 0.999

np = 99.9, n(1-p) = 0.1

Only np is greater than or equal to 10, so the normal approximation is safe.

d) p = 0.01

np = 1, n(1-p) = 99

Only n(1-p) is greater than or equal to 10, so the normal approximation is safe.

e) p = 0.09

np = 9, n(1-p) = 91

Only n(1-p) is greater than or equal to 10, so the normal approximation is safe.

Therefore, for all given values of p, it is safe to use the normal approximation to the sampling distribution of p.

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Answer:

y = - \(\frac{1}{2}\) x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 4 ← is in slope- intercept form

with slope m = 2

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{2}\) , then

y = - \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (4, - 1 ) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = - \(\frac{1}{2}\) x + 1 ← equation of perpendicular line

*see attachement for diagram

Answer:

HG = 25.6

Step-by-step explanation:

Given:

DE = 16x - 3

EF = 9x + 11

DF = 52

Required:

HG

SOLUTION:

✔️First, find the value of x

Thus, since DE is congruent to EF, therefore:

16x - 3 = 9x + 11

Collect like terms

16x - 9x = 3 + 11

7x = 14

Divide both sides by 7

x = 2

✔️Find EH:

Since diagonals of a rhombus are perpendicular, therefore ∆EHF is a right triangle.

Thus, we would use pythagorean theorem to find EH

EH² = EF² - HF²

EF = 9x + 11

Plug in the value of x

EF = 9(2) + 11 = 18 + 11

EF = 29

HF = 52/2 = 26 (diagonals bisect each other)

EH² = 29² - 26² = 165

EH = √165

EH = 12.8 (nearest tenth)

✔️Find HG:

HG = 2(EH)  (diagonals bisect each other)

HG = 2(12.8)

HG = 25.6

The measure of HG is 25.6

For a square, all the sides of the square are equal

Given the following information

First, find the value of x

Since DE is congruent to EF, therefore:  

16x - 3 = 9x + 11

Collect like terms  

16x - 9x = 3 + 11

7x = 14

x = 2

Find the measure of EH:

Since the diagonals of a rhombus are perpendicular, therefore ∆EHF is a right triangle.

Thus, we would use Pythagorean theorem to find EH  

EH² = EF² - HF²

EF = 9x + 11

Plug in the value of x  

EF = 9(2) + 11 = 18 + 11

EF = 29

HF = 52/2 = 26 (diagonals bisect each other)

EH² = 29² - 26² = 165

EH = √165

EH = 12.8 (nearest tenth)

Find the measure of HG:  

HG = 2(EH)  (diagonals bisect each other)

HG = 2(12.8)

HG = 25.6

Hence the measure of HG is 25.6

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(a) The derivative of f(x) = (5x^6 + 2x^3)^4 is 4(5x^6 + 2x^3)^3(30x^5 + 6x^2).

(b) The derivative of y = √sin(1+x^2) is (cos(1+x^2))/(2√sin(1+x^2)).

(c) The derivative of y = (x + 1)^3 is 3(x + 1)^2.

(d) The derivative of h(t) = (t + 1)^(2/3)(2t^2-1)^3 is (2(2t^2 - 1)^3(t + 1)^(-1/3) + 9(t + 1)^(2/3)(2t^2 - 1)^2).

(a) To differentiate f(x) = (5x^6 + 2x^3)^4,  use the chain rule. First take the derivative of the outer function, which is 4 times the original function raised to the power of 3. Then we multiply it by the derivative of the inner function, which is the derivative of (5x^6 + 2x^3) with respect to x, resulting in 30x^5 + 6x^2. Hence, the derivative of f(x) is 4(5x^6 + 2x^3)^3(30x^5 + 6x^2).

(b) To find the derivative of y = √sin(1+x^2), apply the chain rule. The derivative of the outer function, the square root, is 1/(2√sin(1+x^2)). Then we multiply it by the derivative of the inner function, which is the derivative of sin(1+x^2) with respect to x, yielding cos(1+x^2). Therefore, the derivative of y is (cos(1+x^2))/(2√sin(1+x^2)).

(c) The function y = (x + 1)^3 can be differentiated using the power rule. bring down the exponent, which is 3, and multiply it by the derivative of the base, which is the derivative of (x + 1) with respect to x, resulting in 3(x + 1)^2.

(d) To differentiate h(t) = (t + 1)^(2/3)(2t^2-1)^3, again use the chain rule. The derivative of the first term, (t + 1)^(2/3), is found by bringing down the exponent, which is -1/3, and multiplying it by the derivative of the base, t + 1.

Similarly, the derivative of the second term, (2t^2-1)^3, is obtained by bringing down the exponent, which is 2, and multiplying it by the derivative of the base, 2t^2-1. Hence, the derivative of h(t) is (2(2t^2 - 1)^3(t + 1)^(-1/3) + 9(t + 1)^(2/3)(2t^2 - 1)^2).

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Answer: g=5

Step-by-step explanation:

Given

7g+4g+3g-13g+g=10

Combine like terms

2g=10

Divide 2 on both sides

2g/2=10/2

g=5

Hope this helps!! :)

Please let me know if you have any questions

Answer:

2.26-.98=1.28

1.28/4=.32

.32=32%

ANSWER=32%

Step-by-step explanation:

I think that this is correct.  if not sorry, I am only a freshman

Ships enter and leave a port or harbor through a process known as "ship navigation." When a ship approaches a port or harbor, it follows a designated shipping channel or fairway. This channel is usually marked by buoys or beacons to guide the ship safely.

Environmental considerations: Modern port design takes into account environmental factors, such as coastal erosion, water quality, and marine habitat protection. Ports may need to incorporate measures to minimize the impact on the environment, such as the use of environmentally friendly construction materials, waste management systems, or the implementation of measures to reduce air and water pollution.

In summary, ships enter and leave a port or harbor through ship navigation, which involves following a designated shipping channel. A transit harbor is a stopover location for ships, a point of convergence is where shipping routes intersect, and a gateway port is a major hub for international trade. The design of modern ports is influenced by factors such as geography, traffic volume, accessibility, and environmental considerations.

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Answer:

£320 000

Step-by-step explanation:

Let x = original price of the boat.

When you reduce a price by 15%, what percent remains in the sale price?

100% - 15% = 85%

After reducing the price of the boat by 15%, the sale price is 85% of the original price.

85% of x = £272 000

0.85x = 272 000

Divide both sides by 0.85

x = 320 000

Answer: £320 000

In 2220 ways the innkeeper can assign the guests to the rooms i.e. Option B is correct.

As per the question,

There are Five friends and Five rooms,

⇒ 0 rooms of 2, 5 rooms of 1

⇒ 1 room of 2, 3 rooms of 1

⇒ 2 rooms of 2, 1 room of 1

Guests can be allotted rooms by the innkeeper as

              1, 1, 1, 1, 1,                 1, 2, 2,             or            1, 1, 1, 2

                                         =   5 × ( 4 2 ) × ( 5 2 ) ( 3 2 )

                                              assign frequencies to rooms

                                         =   5 × 4 × 3! ( 5 2 )

Total number of ways ( N )  =   To assign ( 1, 2, 2 ) + To assign ( 1, 2, 2 )  +      

                                                   To assign ( 1, 1, 1, 1, 1 )

                                              =   5 × ( 4 2 ) × ( 5 2 ) ( 3 2 ) +  5 × 4 × 3! ( 5 2 ) +

                                                   5!

                                              =    5 × ( 4 2 ) × ( 5 2 ) ( 3 2 ) + 120 ( 5 2 ) + 120

                                        N   =    2220 ways    

Therefore, The innkeeper can assign guests to the rooms in 2220 ways with no more than two friends per room i.e. option B is valid.

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The given series is a geometric sequence with a common ratio of 1/2 it is also written as 0.5.

A geometric progression, also known as a geometric sequence, is a non-zero number sequence in which each term after the first is found by multiplying the previous one by a fixed, non-zero number known as the common ratio.

Number sequences are groups of numbers that adhere to a pattern or rule. A geometric sequence is one in which the rule is to multiply or divide by a specific number each time.

We have,

20, 10, 5, …

The distinction between consecutive terms is:

10 - 20 = -10

5 - 10 = -5

Since -10 ≠ -5, therefore the given series has no standard difference, which means the given sequence is not arithmetic.

The ratio between consecutive terms is:

10/20 = 1/2

5/10 = 1/2

The given series has a common ratio of 1/2, which means the given sequence is geometric.  it is also written as 0.5.

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Answer:

Step-by-step explanation:

When you multiply radicals together, the only rule that needs to be followed is that the index is the same on both. These are both square roots (so the index is a 2 on each radical) so we can multiply the radicals together to get 5√66.  That does not simplify at all and is irrational (since the decimal goes on without repeating)

Answer:

he only needed to pay 84 dollars.

Step-by-step explanation:

A survey that includes the identity of the property owner provides essential information regarding the legal ownership of the property. Option A

Legal and Administrative Purposes: Identifying the property owner is necessary for legal and administrative purposes. It establishes the rightful owner of the property and allows for proper documentation, contracts, and legal transactions related to the property.

Communication and Contact: The identity of the property owner allows for effective communication and contact between stakeholders. It enables interested parties, such as potential buyers, tenants, or authorities, to reach out to the owner for inquiries, negotiations, or obtaining necessary permissions.

Property Rights and Obligations: Understanding the identity of the property owner is essential for determining rights and obligations associated with the property.

Ownership Verification: The identity of the property owner helps in verifying the legal ownership of the property. It provides assurance to potential buyers, lenders, or investors that the seller or claimant is the rightful owner, reducing the risk of fraudulent transactions or disputes.

Transfer of Property: In cases of property transfers, such as sales or inheritances, the identity of the property owner is necessary to ensure a smooth transfer of ownership. It allows for the proper documentation of the transfer and updating of records with relevant authorities.

Option A

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Answer:

The answer is 324

Step-by-step explanation:

I don't know if it's the correct answer but I hope it helps

pls mark me as brainliest

The congruence 64x ≡ p (mod 66) can be rewritten as the equation 64x - p = 66k, where k is an integer. We want to determine the number of solutions for x such that 0 < x < 100. To solve this congruence, we need to find the value of k that satisfies the equation. We can rewrite the equation as 64x - 66k = p. This is a linear Diophantine equation, and it can be solved using the extended Euclidean algorithm.

The extended Euclidean algorithm allows us to find the  (gcd) of two numbers and express it as a linear combination of the numbers. In this case, we want to find the gcd of 64 and 66.
Using the extended Euclidean algorithm, we can find that the gcd(64, 66) = 2. This means that there are 2 solutions for x and k that satisfy the equation. To find the specific values of x, we can use the Bezout's identity.

Bezout's identity states that for any two integers a and b, there exist integers x and y such that ax + by = gcd(a, b). In our case, we have 64x - 66k = 2.
Using Bezout's identity, we can find one solution for x and k, and then find the other solutions by adding multiples of the quotient of 66 and 2 to the initial solution.

Let's say we find one solution: x₀ and k₀. Then the other solutions are given by x = x₀ + 33t and k = k₀ - 32t, where t is an integer.
To find the number of solutions between 0 and 100, we need to find the values of t that satisfy 0 < x < 100.
For t = 1, we get x = x₀ + 33 and k = k₀ - 32. If x is greater than or equal to 100, we move on to the next value of t.

By substituting different values of t, we can find the solutions for x and k that satisfy the congruence and the condition 0 < x < 100.

In conclusion, the number of solutions for x in the congruence 64x ≡ p (mod 66) such that 0 < x < 100 is equal to the number of valid values of t that satisfy the condition. The specific values of x and k can be obtained using Bezout's identity and the extended Euclidean algorithm.

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Answer:

Sorry let me try to understand the question

Step-by-step explanation:

The domain of the function r(x) is (0, 200).

The revenue earned when the price is $30 is $20400.

The rule for the function r(x) is x(800 - 4x).

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Demand:

d(x) = 800 - 4x

Price = x

Revenue = Price x demand

Revenue = r(x)

A)

The rule for r(x).

r(x) = x d(x) = x(800 - 4x)

The domain of r(x) is 0 < x < 200 i.e (0, 200).

B)

x = 30

r(x) = 30(800 - 4 x 30)

r(x) = 30(800 - 120) = 30 x 680 = 20400

C)

r(x) = x(800 - 4x)

Thus,

The answers are given above.

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Place value of 432 is 400 +30+02 .

What is place value?

In math, each digit in a very variety features a place value. Place value is outlined because the price pictured by a digit in a very variety on the premise of its position within the variety.

Main body:

The place value of a digit will increase by 10 times as we move  left on the place worth chart and reduces by ten times as we tend to move right.

The place of digit 4 will be hundreds.

The place of digit 3 will be tens.

The place of digit 2 will be ones.

Hence place value of 432 is  400 +30+02 .

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Answer:

1. 128 cm^3

2. 28 ft^3

3.  45 yd^3

4. 675 in^3

5. 83.7 mm^3

6. 144 cm^3

Step-by-step explanation:

just multiply

Answer:

Step-by-step explanation: y=22.5

Answer:

b stands for the y-intercept

Step-by-step explanation:

I hope this helps you out! :-)

Answer:

B= y intercept

Step-by-step explanation:

The statement will be m∠ABC = m∠GHI.

Reason: ∠ABC ≅ ∠GHI