I need help on 1 and 2, please :)

Answer: 7 miles per hour

Step-by-step explanation:

This is a fraction equal to 28 miles divided by 4 hours.

We want a unit rate where 1 is in the denominator, so we divide top and bottom by 4.

28 miles ÷ 4

____________

4 hours ÷ 4

= 7 miles

__________

1 hour

=

7 miles

_________

hour

= 7 miles per hour

Answer:

7 miles in 1 single hour

Step-by-step explanation:

28 / 4 = 7

21 / 3 = 7

14 / 2 = 7

7 / 1 = 7

Answer:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.

Step-by-step explanation:

Answer:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero

Step-by-step explanation:

We have to find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1.

To find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1, we have to integrate x^(1/2) and x^(1/3) with respect to x. That is, Area = ∫0¹ [x^(1/2) - x^(1/3)] dx= [2/3 x^(3/2) - 3/4 x^(4/3)] from 0 to 1= [2/3 (1)^(3/2) - 3/4 (1)^(4/3)] - [2/3 (0)^(3/2) - 3/4 (0)^(4/3)]= 0.2857 square units

Therefore, the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1 is 0.2857 square units. Note: The question  but the answer has been provided in the format requested.

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The average cost of each book that Nancy got is $32

Cost refer to the amount or value of a product. cost is usually valued in money hence one has to pay some money to h]]get the commodity of choice

In the question, the commodity is mundane books

given that

Nancy had 209 dollars to spend

number of books = 6

amount remaining after buying = $17

The question can be represented mathematically as

6x + 17 = 209

where x is the cost of the each book

6x + 17 = 209

6x = 209 - 17

6x = 192

dividing through by 6

6x / 6 = 192 / 6

x = 32

hence each book costs $32

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Answer:

x=8

Step-by-step explanation:

All we need to do is to make the bases equal. We know 625=25² so we apply that to the equation:

\( {25}^{3x + 2} = {25}^{2(2x - 3) } \\ {25}^{3x + 2} = {25}^{4x - 6} \)

Now that the bases are equal, we can set the exponents equal too.

\(3x + 2 = 4x - 6 \\ 3x - 4x = - 6 - 2 \\ - x = - 8 \\ x = 8\)

Hope this helps!

Answer:

18

Step-by-step explanation:

6 breaks x 3 minutes each

= 18 minutes

2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

To prove that the expression 2n^3 + 3n + 10 is in the set Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3), we need to show that the expression can be written in the form a(n^3) for some constant "a".

Let's start by factoring out the common factor of n^3 from each term:

2n^3 + 3n + 10 = n^3(2 + 3/n^2 + 10/n^3)

Now, let's rewrite the expression as a single term multiplied by n^3:

2n^3 + 3n + 10 = (2 + 3/n^2 + 10/n^3)n^3

Simplifying the expression inside the parentheses:

= (2n^3 + 3n^2 + 10n^3)/n^3

= (12n^3 + 3n^2)/n^3

= 12 + 3/n

ow, we can see that the expression can be written in the form a(n^3), where a = 12 and n^3 = 3/n.

Therefore, we have shown that 2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

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Step-by-step explanation:

To estimate the difference between 5 1/2 and 3 5/9, we can first round the fractions to the nearest whole number or simpler fractions. In this case, we can round 1/2 to 1/2 and 5/9 to 1/2 as well. Now, we have:

5 1/2 − 3 1/2

Subtracting the whole numbers, we get:

5−3=2

Subtracting the fractions, we get:

1/2 − 1/2 = 0

So, the estimated difference is 2, which falls between 2 and 2 1/2. Therefore, Elise chose option D as the correct answer.

Answer:

x= 83y−17 and y= 83x+17

​

hope it helps

Answer:

Step-by-step explanation:

A century has 100 years in it. months only has a max of 31 dates. The following years are perfect squares, 01,04,09,16,25,36,49 64,81,100

It will be 10 square root dates.

Answer:

The answer is 40%

Step-by-step explanation:

Answer:

40% increase

Step-by-step explanation:

90 - 36 = 54

90 - 54 = 36

36 / 90 = 0.4

0.4 x 100 = 40%

Answer:

12

Step-by-step explanation:

STEP 1: 1/3 DIVIDED BY 4

STEP 2: 1/3 DIVIDED BY 4/1

Than flip 1/3

STEP 3: 3/1 DIVIDED BY 4/1

THAN INSTEAD OF DIVIDING MULTIPLY

SO,

STEP 4: 3 TIMES 4 =12

STEP 5: 1 TIMES 1 = 1

STEP 6: 12/1 TURNS INTO 12

Answer:

x=7

Step-by-step explanation:

3(7) - 4=17

21-4=17

x=7!!!!!!!!!!!!!! !!!!!!!!!!!!!

classify the equation 6(x+2)=5(x+7) as having one solution, no solution, or infinity many solutions

we have the equation

6(x+2)=5(x+7)

solve for x

6x+12=5x+35

6x-5x=35-12

x=23

therefore

the answer is

Answer:

Step-by-step explanation:

Find the unit rate of Sugar. Then find the cost of  2.5 Kg sugar

1 kg sugar =36 ÷ 4.5

                \(= \frac{36*10}{4.5*10}= \frac{360}{45}\\\\= 8\)

2.5 kg of sugar= 2.5 * 8 = 20.0 = R 20

Answer:

Kg Rupee

4.5 = 36

2.5 = ?

Therefore, 2.5*36/4.5

Therefore, 25*36*10/45*10

Therefore, 25*36/45

Therefore, 5*5*36/9*5

Therefore, 5*36/9

Therefore, 5*3*2*3*2/3*3

Therefore, 5*2*2

Therefore, 10*2

Therefore, 20

2.5 kg =20 Rupees

Answer:

length of string  ≈ 421  units (nearest whole number)

Step-by-step explanation:

Juliet is standing on the balcony 44 above the ground . The angle of depression is 6°. A string was held between Juliet and Romeo.

The illustration forms a right angle triangle. The hypotenuse of the triangle is the length of the string held by both star crossed lovers. The opposite side of the triangle is given as 44. Therefore,

using sin ratio

sin 6° = opposite/hypotenuse

sin 6° = 44/length of string

cross multiply

length of string sin 6° = 44

divide both sides by sin 6°

length of string = 44/sin 6°

length of string = 44/0.10452846326

length of string = 420.937978274

length of string  ≈ 421 units(nearest whole number)

Answer: The integral of the function y = cos(x) from x = k to x = π/2 represents the area under the curve of the function between those limits. We can evaluate this integral as follows:

∫[k, π/2] cos(x) dx = sin(k) - sin(π/2) = sin(k) - 1

We are given that this area is 0.1, so we can write:

0.1 = sin(k) - 1

Adding 1 to both sides gives:

1.1 = sin(k)

To solve for k, we take the inverse sine (or arcsine) of both sides, keeping in mind that k is between 0 and π/2:

k = arcsin(1.1)

However, arcsin(1.1) is not a real number since the sine function is only defined between -1 and 1. Therefore, there is no value of k that satisfies the given conditions.

Given system of inequalities are:\($$4x - 39 > - 43 \cdots \cdots \cdots \left( 1 \right)$$$$8x + 31 < 23 \cdots \cdots \cdots \left( 2 \right)$$\)The inequality (1) can be written as $$\begin

\({array}{l} 4x > - 43 + 39\\ 4x > - 4\\ x > - 4/4\\ x > - 1 \end{array}$$\)

So, the solution of the inequality (1) is x > -1.The inequality (2) can be written as \($$\begin{array}{l} 8x < 23 - 31\\ 8x < - 8\\ x < - 8/8\\ x < - 1 \end{array}$$\)So, the solution of the inequality (2) is\(x < -1\). Therefore, the solution of the given system of inequalities is \(x < -1 or x > -1\).

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Answer:

14.14 inches

Step-by-step explanation:

We know that the diagonal of a square is \(\sqrt{2}a\), where a is the length of the side.

The diagonal of a square is the hypotenuse of this triangle.

That means the hypotenuse will be equal to \(\sqrt{2}\cdot10\)

This can be simplified to \(\sqrt{200}\), which, rounded to the nearest hundredth is 14.14.

Hope this helped!

The expected value of buying one ticket in this charity raffle is $0.42. This means that, on average, a person can expect to win approximately $0.42 if they purchase a single ticket.

To calculate the expected value, we need to consider the probability of winning each prize multiplied by the value of the prize. Let's break it down:

- There is a 1/5000 chance of winning the $600 prize, so the expected value contribution from this prize is (1/5000) * $600 = $0.12.

- There are 3/5000 chances of winning the $300 prize, so the expected value contribution from these prizes is (3/5000) * $300 = $0.18.

- There are 5/5000 chances of winning the $40 prize, so the expected value contribution from these prizes is (5/5000) * $40 = $0.04.

- Finally, there are 20/5000 chances of winning the $5 prize, so the expected value contribution from these prizes is (20/5000) * $5 = $0.08.

Summing up all the expected value contributions, we get $0.12 + $0.18 + $0.04 + $0.08 = $0.42.

Therefore, if you buy one ticket in this raffle, the expected value of your winnings is $0.42.

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Answer:

Step-by-step explanation:

To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).

Let's start by finding f(2):

f(x) = 2x² - 3x

f(2) = 2(2)² - 3(2)

= 2(4) - 6

= 8 - 6

= 2

Now that we have the value of f(2) as 2, we can substitute it into g(x):

g(x) = 5x - 1

g[f(2)] = g(2)

= 5(2) - 1

= 10 - 1

= 9

Therefore, g[f(2)] is equal to 9.

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Answer: First, we'll round the values of A and b:

A = 340 rounded to the nearest 10 = 340

b = 49.8 rounded to 1 decimal place = 49.8

Next, we'll find the product of A and b:

A × b = 340 × 49.8 = 16872

Finally, we'll find the minimum of A × b:

Minimum of A × b = 16872

So, the minimum value of A × b is 16872.

Step-by-step explanation:

The 35.99-carat diamond weighs approximately 7.198 grams (0.254 ounces).

We can use the conversion factor of 1 carat = 0.2 g to convert carats to grams.

Diamond weight in grams: 35.99 carats x 0.2 g/carat = 7.198 g (rounded to three decimal places)

We can use the conversion factor of 1 ounce = 28.3495 g to convert the weight in grams to ounces.

Diamond weight in ounces: 7.198 g / 28.3495 g/o z = 0.254 o z (rounded to three decimal places)

Carats are now commonly used to measure the weight of gemstones, including diamonds, and are abbreviated as "ct." A 1-carat diamond, for example, weighs 0.2 grams while a 2-carat diamond weighs 0.4 grams.

As a result, the 35.99-carat diamond weighs approximately 7.198 grams (0.254 ounces).

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Answer:

x=2

Step-by-step explanation:

not hard at all unless you forgot it XD

Answer:

40.8

Step-by-step explanation:

Just took the test

Answer:

40.8 yd

Step-by-step explanation:

just took the test too! :D

have a miraculous day!! <3

Answer:

you have it correct sir

Step-by-step explanation: