-8, 0, 8, 16, 24,... Find the 65th term value.

The rule of the surface area of a box whose dimensions are L, W, and H is

Since the dimensions of the sugar box are 10 cm, 5 cm ,and 16 cm, then

L = 10

W = 5

H = 16

Substitute them in the rule above

The surface area is 580 square cm

The upper and lower bounds for the numbers are illustrations of approximation

The numbers are given as:

a = 6.54 (to 3 significant figures)

b = 123 (to 3 significant figures)

(a) a + b

We have:

a + b = 6.54 + 123

a + b = 129.54

When approximated, the bounds to three significant digits are:

Lower bound = 129

Upper bound = 130.1

(b) ab

We have:

ab = 6.54 * 123

a + b = 804.42

When approximated, the bounds to three significant digits are:

Lower bound = 804

Upper bound = 805

(c) a/b

We have:

a/b = 6.54/123

a/b = 0.0531707317

When approximated, the bounds to three significant digits are:

Lower bound = 0.0531

Upper bound = 0.0532

(d) b - 1/a

We have:

b - 1/a = 123 - 1/6.54

b - 1/a = 122.847094801

When approximated, the bounds to three significant digits are:

Lower bound = 122

Upper bound = 123

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Answer:

-2

Step-by-step explanation:

i did the test

Answer:

Step-by-step explanation:

You want the dimensions of a rectangle if adding 2 m to its width makes it a square with an area of 36 m².

The area of a square is the square of its side length, so the side length of the square is ...

  A = s²

  s = √A = √(36 m²) = 6 m

The problem statement tells you this dimension is 2 m more than the width of the rectangle. Hence that width is ...

  6 m - 2m = 4 m

The rectangle is 4 m wide and 6 m long.

Check

The length is 2 m less than twice the width: (2)(4 m) -2 m = 6 m, the value we show above.

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Answer:

\(Total = 25\ yd\)

Step-by-step explanation:

The given parameters can be represented as:

\(Length = 2\frac{1}{2}\)

\(Number=10\)

Required

The total yards

This is calculated as:

\(Total = Number * Length\)

\(Total = 10 * 2\frac{1}{2}\ yd\)

Convert fraction to decimal

\(Total = 10 * 2.5\ yd\)

\(Total = 25\ yd\)

Answer:

x is -5/3 and y is 5

Step-by-step explanation:

\(\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &9152\\ t=\textit{elapsed time}\dotfill &12\\ h=\textit{half-life}\dotfill &3 \end{cases} \\\\\\ A=9152\left( \frac{1}{2} \right)^{\frac{12}{3}}\implies A=9152\left( \frac{1}{2} \right)^4\implies A=572\)

s orbital mentioned

Note that for all n shells electrons per shell is fixed like for p it's 6 and for d it's 10

Rule for electron in nth shell=2n²

Answer:

the slope is -1.55

Step-by-step explanation:

(y2 -y1) / (x2 -x1)

The inflation rate for Ken's gas expenses between the two years is approximately 42.26%.

To calculate the inflation rate for Ken's gas expenses, we can use the following formula: (Current Year Expense - Previous Year Expense) / Previous Year Expense × 100%.

In this case, the previous year's gas expense was $1,098 and the current year's expense is $1,562.

To find the difference in expenses, subtract the previous year's expense from the current year's expense: $1,562 - $1,098 = $464.

Now, divide this difference by the previous year's expense: $464 / $1,098 ≈ 0.4226.

Finally, multiply the result by 100% to get the inflation rate: 0.4226 × 100% ≈ 42.26%.

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Answer:

Step-by-step explanation:

I'm not sure exactly what you're trying to ask
but r and s are parallel
and I'm assuming the 3rd line is line m, line m is not parallel to any line
and angles A and B are equal

Answer:

4

Step-by-step explanation:

First n(AUB)=n(E) - n((AUB)')

So n(AUB) = 40 - 6 = 34

Now all u hv to do is use the formulae,

n(AUB) = n(A) + n(B) - n(ANB)

So when u substitute above values,

34=22 + n(B) - 8

So,

n(B) = 4

Answer:

p=5/8

Step-by-step explanation:

you first have to work out the brackets

5p+7=3(4-p)

5p+7=12-3p

then you have to group the like terms

5p+3p=12-7

8p=5

8p/8=5/8

p=5/8

you can also live it as a decimal

I hope this helps

Answer: p = 5/8

Explanation:

⇒5p + 7 = 3(4 -p)

⇒5p + 7 = 12 - 3p

⇒5p + 3p = 12 - 7

⇒8p = 5

⇒p = 5/8

Must click thanks and mark brainliest

Answer:

2. 0.5x + 5

Step-by-step explanation:

5 + 0.5x

you didn't show the figure..

Answer: i don't see

Step-by-step explanation:

a figure

Answer:

C

Step-by-step explanation:

I just took the test

Answer:

Step-by-step explanation:

11(143) = 11(100 + 40 + 3)

          = 11(100) + 11(40) + 11(3)

9(821) = 9(800 + 20 + 1)

          = 9(800) + 9(20) + 9(1)

3(937) = 3(900 + 30 + 7)

          = 3(900) + 3(30) + 3(7)

6(342) = 6(300 + 40 + 2)

           = 6(300) + 6(40) + 6(2)

5(209) = 5(200 + 0 + 9)

           = 5(200) + 5(0) + 5(9)

Answer:

59

Step-by-step explanation:

\(180=31+90+x\\\\180=121+x\\x=180-121\\x=59\)

using sum of angles in a triangle

Step-by-step explanation:

Let the missing angle be ' x ' .

Now, Set up an equation and solve for x

\( \tt{x \degree + 90 \degree \: + 31 \degree = 180 \degree}\) { Sum of angles of a triangle }

⇢ \( \tt{x \degree + 121 \degree = 180 \degree}\)

⇢ \( \tt{ \: x \degree = 180 \degree - 121 \degree}\)

⇢ \( \tt{x \degree = 59 \degree}\)

\( \red{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \underline{59 \degree}}}}}}\)

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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The center of the hyperbola is at (2,0), and its vertices are at (2 ± √17,0). The distance between the center and vertices is 'a', which is √17.

The given equation is in the standard form of a hyperbola, which is (y - k)2/a2 - (x - h)2/b2 = 1.

Where (h, k) is the center of the hyperbola, 'a' is the distance from the center to the vertices, and 'b' is the distance from the center to the co-vertices.

To find the center, foci, and vertices of the hyperbola, we need to convert the given equation into the standard form.

First, we need to complete the square for x terms by taking -16 common from x terms and adding and subtracting 16 from it.

y^2 - 16x^2 + 64x - 208 = 0

y^2 - 16(x^2 - 4x) = 208

y^2 - 16(x^2 - 4x + 4) = 208 + 16(4)

y^2 - 16(x - 2)^2 = 272

Now we can write this equation in standard form by dividing both sides by 272.

(y - 0)2/16 - (x - 2)2/17 = 1

Comparing this equation with the standard form, we get:

- Center(h,k) = (2,0)

- a = √17

- b = 4

Therefore, the center of the hyperbola is at (2,0), and its vertices are at (2 ± √17,0). The distance between the center and vertices is 'a', which is √17. The co-vertices are at (2, ±4), and the distance between the center and co-vertices is 'b', which is 4.

To find the foci of the hyperbola, we can use the formula:

c = √(a^2 + b^2)

Where 'c' is the distance between the center and foci.

Substituting the values of 'a' and 'b', we get:

c = √(17 + 16) = √33

Therefore, the foci of the hyperbola are at (2 ± √33,0).

To sketch the graph of the hyperbola, we can use the information we have obtained so far.

The center of the hyperbola is at (2,0), which is the point where the two axes intersect. The vertices are at (2 ± √17,0), which are on either side of the center along the x-axis. The co-vertices are at (2, ±4), which are on either side of the center along the y-axis.

The asymptotes of a hyperbola pass through its center and have slopes equal to ±(b/a). Therefore, for this hyperbola, the slopes of asymptotes are ±(4/√17).

The lines represent the asymptotes passing through the center (2,0) with slopes ±(4/√17). The points represent the vertices at (2 ± √17,0), and the green points represent the foci at (2 ± √33,0).

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Answer: The number of people can be expected to have cold = 34

Step-by-step explanation:

Given: The ratio of people who actually have the flu to the people who have flu-like symptoms is 1:6.

If a doctor sees 40 patients, then the number of people can be expected to have cold = \(40\times\dfrac{6}{1+6}\)

\(=40\times\dfrac6{7}\)

\(=\dfrac{240}{7}\\\\=34.29\approx34\)

Hence, the number of people can be expected to have cold = 34

42 kilograms are equal to 6.6 stones.

A unit is a common element used to quantify similar physical quantities.

As per the given data:

1 kilogram = 2.2 pounds

1 stone = 14 pounds

For converting 42 kilogram to stones:

42 kilogram = 2.2 × 42 pounds

= 92.4 pounds

1 pound = (1/14) stone

= 92.4 × (1/14) stones

= 6.6 stones

Hence, 42 kilograms are equal to 6.6 stones.

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Answer: c

Step-by-step explanation:

2*2*2*2*5=80

x*x= x^2

y=y

Answer:

Below

Step-by-step explanation:

4 [x-3] + 2    = y    is not discontinuous anywhere

However    4 / [x-3]  + 2   DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!

Answer:

10qt

Step-by-step explanation:

We are to convert gallon to quartz

Using the conversion rate

1gallon = 4qt

2 1/2 gallons = x

Divide both expressions

1/(5/2) = 4/x

2/5 = 4/x

Cross multiply

2x = 5×4

2x = 20

x =20/2

x = 10qt

Hence 2 1/2 gallon is 10qt

Answer:

The scientist used the experimental statistical study.

Step-by-step explanation:

Statistical study is the process of collecting, analyzing and presentation of data to achieve an accurate conclusion. The major types are: survey, and experimental.

Survey statistical study can easily be achieved by the use of questionnaires to sample the opinion of participants. While experimental statistical study involve the participants observing a process or some procedures before conclusions can be made.

In the given question, the scientist performed an experiment by asking participant to undergo a process before making his conclusion. Thus, he used an experimental statistical study.

Answer:

{3, 4, 5}

Step-by-step explanation:

Domain is all the x's

Answer:

B. {3, 4, 5}

Step-by-step explanation: got it right on edge

Answer:

− x 2 − 5 x − 17 − 47 x − 3

Step-by-step explanation:

 Divide using polynomial division.

Polynomial :

An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers.

The sequence of 3 bases on mRNA is called a codon, and the sequence of 3 bases on tRNA is called an anticodon.

Explanation: In the process of protein synthesis, mRNA (messenger RNA) carries the genetic information from DNA to the ribosomes. The mRNA sequence is composed of a series of codons, each consisting of three nucleotide bases (A, U, G, or C). Each codon codes for a specific amino acid or serves as a start or stop signal.

On the other hand, tRNA (transfer RNA) is responsible for carrying the corresponding amino acids to the ribosomes during protein synthesis. Each tRNA molecule contains an anticodon, which is a sequence of three nucleotide bases that is complementary to a specific codon on mRNA. The anticodon allows tRNA to recognize and bind to the appropriate codon on mRNA, ensuring the correct amino acid is added to the growing polypeptide chain.

Therefore, the codon on mRNA and the anticodon on tRNA pair up during translation to facilitate the accurate translation of genetic information into protein sequences.

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The complete question is :

FILL IN THE BLANK

The sequence of 3 bases on mRNA is called a __________, and the sequence of 3 bases on tRNA is called an _________ .