NO LINKS!! Which of the following formulas defines an arithmetic sequence?​

Answer:

Step-by-step explanation:

inorder to solve the area of the shaded area;°/360ñRsquared

arc length you use ;°/360ñD

The answer is 410°

You have to multiply 17x20 and then add 70 because that’s the initial temp.

Answer

Temp after 17 minutes: 340

Temp after t minutes: 20t+70

Step-by-step explanation:

9514 1404 393

Answer:

  $4.00

Step-by-step explanation:

We assume the price is proportional to the quantity of oranges. If p is the desired price in dollars, we want ...

  p/8 = 0.25/(1/2)

  p = 8(0.50) = 4.00 . . . . multiply by 8, simplify

8 kg of oranges would cost $4.00.

Answer:

yep that is totally true

Answer: 12 x 12 +144

Step-by-step explanation:

It is true, Mai can conclude that the diagonal WY bisects the angles ZWX and ZYX

Since Mai has proven triangles WYZ and WYX to be congruent by the SSS triangle Congruence Theorem, she can conclude that:

Diagonal WY bisects angles ZWX and ZYX because:

all corresponding parts of both triangles are congruent. (Option A).

If two triangles are proven to be congruent to each other, it means that all three pairs of corresponding sides and angles of both triangles are congruent and equal to each other.

Thus, since Mai has proven triangles WYZ and WYX to be congruent by the SSS Triangle Congruence Theorem, therefore, all corresponding parts of both triangles are congruent.

If this is so, then Mai can conclude that angles ZWX and ZYX are bisected by diagonal WY. (Option A is correct).

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B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

A. To represent the number of grams present after n hours, we can use the equation:

N(n) = 15 × (1 - 0.2)^n

Where:

N(n) is the number of grams present after n hours,

15 is the initial amount of the substance in grams,

0.2 represents the decay rate of 20% per hour, and

^n represents the exponentiation operation.

B. To find out how much will be left after 24 hours, we can substitute n = 24 into the equation from part A:

N(24) = 15 × (1 - 0.2)^24

Calculating this expression, we find that approximately 2.49 grams will be left after 24 hours.

C. We need to determine the number of hours it takes until there is approximately one gram left. We can set up the equation:

1 = 15 × (1 - 0.2)^n

To solve for n, we can divide both sides of the equation by 15 and then take the logarithm (base 0.8) of both sides:

log(0.8)(1/15) = n

Using a calculator or logarithmic properties, we find that approximately 18.13 hours are required until there is approximately one gram left.

Therefore, the answers are:

B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

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Answer:

Step-by-step explanation:

Triangles ADB and CDB are congruent, so each is half the total area. The area of ADB is ...

  A = 1/2bh

  A = 1/2(DB)(1/2AC) = 1/4(DB)(AC)

The area of the kite is twice this value:

  A = 1/2(DB)(AC)

__

In order to use the formula derived in part 1, we need to know the length of BE. That can be found using the Pythagorean theorem:

  BE² +AE² = AB²

We know that AE = 1/2AC, so the desired dimension is ...

  BE = √(AB² -(1/4)AC²)

Then the area of the kite is ...

  area = 1/2(DB)(AC)

  area = (1/2)(AC)(ED +√(AB² -(1/4)AC²)

__

Given three sides of a triangle, the area of it can be found using Heron's formula. If you have not yet seen that in your geometry class, you can always use the Pythagorean theorem and some algebra.

As before, we need to know the lengths of the diagonals. One is given. The other can be found considering the Pythagorean relations:

  AD² = AE² +DE²

  AB² = AE² +BE²

  BE +DE = BD . . . . the sum of the horizontal diagonal lengths

Subtracting the second equation from the first gives ...

  AD² -AB² = DE² -BE²

Using the third to write an expression for DE, we get an equation for BE:

  AD² -AB² = (BD -BE)² -BE²

  AD² -AB² = BD² -2BD·BE +BE² -BE²

  (AB² +BD² -AD²)/(2BD) = BE

Substituting this into the original second equation, we can find AE, hence the area of the kite.

  AE² = AB² -((AB² +BD² -AD²)/(2BD))²

Which means the kite area is ...

  area = BD·AE = BD√(AB² -((AB² +BD² -AD²)/(2BD))²)

  area = (1/2)√(4·AB²·BD² -(AB² +BD² -AD²)²

This area formula demonstrates it is possible to find the area of the kite given the three lengths AB, BD, DA.

_____

Additional comment

We have no doubt that the area formula of Part 3 can be rearranged to match Heron's formula. Here, we're interested in demonstrating area can be found.

Using the z-score, mean and sample mean, the standard deviation of the sample is 7.57

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

The formula is given as;

z = x - μ / σ

Substituting the values into the formula;

-2.13 = 19.3 - 29 / σ

Cross multiply both sides;

-2.13σ = 19.3 - 29

-2.13σ = -9.7

Divide both sides by the coefficient;

-2.13σ / -2.13 = -9.7 / -2.13

σ = 7.57

The standard deviation is 7.57

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Answer

its scale factor is ​4/3 and 0.75

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

To do this you would just plug in the values into the variables so you get \(|-5^{2} +3^{2} |\) and when you simplify you get |25+9| which when you add together you get |34| and the absolute value is just 34 since it is not negative.

If m = -5 and n = 3, then the value of the expression |m² + n²| will be 34.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

The expression is given below.

⇒ |m² + n²|

Put m = -5 and n = 3, then the value of the expression will be

⇒ |(-5)² + 3²|

⇒ |25 + 9|

⇒ |34|

⇒ 34

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The probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 8/25 or 0.32 (rounded to the nearest millionth).

1. Calculate the total number of students on the Student Government Board by summing up the numbers in the table:

  Total Students = 2 + 2 + 2 + 4 + 0 + 3 + 4 + 2 = 19

2. Calculate the total number of graduate students on the Student Government Board:

  Total Graduate Students = 2 + 0 = 2

3. Calculate the total number of students living in on-campus housing:

  Total On-Campus Housing = 2 + 2 + 0 + 4 + 2 = 10

4. Calculate the probability of selecting a graduate student from the Student Government Board by dividing the total number of graduate students by the total number of students:

  Probability of Graduate Student = Total Graduate Students / Total Students = 2 / 19

5. Calculate the probability of selecting a student living in on-campus housing by dividing the total number of students in on-campus housing by the total number of students:

  Probability of On-Campus Housing = Total On-Campus Housing / Total Students = 10 / 19

6. Calculate the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing by summing up the probabilities from steps 4 and 5:

  Probability = Probability of Graduate Student + Probability of On-Campus Housing = 2 / 19 + 10 / 19

7. Simplify the fraction if necessary. In this case, the fraction cannot be simplified further, so the final probability is 2 / 19 + 10 / 19 = 12 / 19.

8. Convert the fraction to a decimal by dividing the numerator by the denominator: 12 / 19 ≈ 0.631578947, which rounds to 0.632 (rounded to the nearest thousandth).

9. Finally, express the probability as a fraction in lowest terms: 12 / 19 is already in lowest terms.

Therefore, the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 12/19 or approximately 0.632 (rounded to the nearest thousandth).

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Answer: Difference between the volumes of 5cm x 5cm x 5cm cube and 2cm x 4cm x 16 cm cuboid = 3 cm^3.

Step-by-step explanation: Volume of cube of side "a" =a^3

In the question, a=5cm

Therefore, the Volume of cube = 125 cm ^3

Volume of cuboid = l x b x h

In the question, l = 2cm, b = 4cm, h = 16cm

Therefore, Volume of cuboid= 128 cm^3

Hence, the difference in their volumes = 3 cm^3

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Answer:

4.42/5.2 = y(yogurt) y = .85 dollars an ounce

Step-by-step explanation:

Answer:

I think it is $0.50 per pound

Step-by-step explanation:

Hope this helps

Answer:

C (Hypotenuse) = 9.9

Step-by-step explanation:

Given the two sides of a triangle, where a = 7, and b = 7:

We can use the Pythagorean Theorem where it states: c² = a² + b².

Substitute the given values into the Pythagorean Theorem to find the length of the hypotenuse.

c² = a² + b²

c² = 7² + 7²

c² = 49 + 49

c² = 98

\(\LARGE\mathsf{\sqrt{c^2}\:=\:\sqrt{98}}\)

c = 9.89 or 9.9

Therefore, the length of the hypotenuse is 9.9, making the given triangle an isoceles triangle with two equal sides.

The first three terms of the Arithmetic Progression are 12, 17 and 22.

For an ARITHMETIC PROGRESSION, AP ;

First term = a

Second term = a + d

Third term = a + 2d

Where, d = common difference ;

If third term exceeds smallest by 10 ;

Third term - first term

a + 2d - a = 10

2d = 10

d = 10/2

d = 5

Sum of the three terms :

a + (a + d) + a + 2d = 51

3a + 3d = 51

d = 5

3a + 3(5) = 51

3a + 15 = 51

3a = 51 - 15

3a = 36

a = 12

The AP would be:

First term, a = 12

Second term, a + d = 12 + 5 = 17

Third term = a + 2(d) = 12 + 10 = 22

Therefore , the first three terms of the AP are :

12, 17 and 22

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The arc length parameter along the curve from the point where t = 0 by evaluating the integrals s is equal to \(\sqrt{54}\) and the length of the indicated portion of the curve is \(\sqrt{54}+1\)

To find the arc length parameter along the curve,  to evaluate the integral of the magnitude of the velocity vector with respect to t.

The velocity vector is the derivative of the position vector r(t) with respect to t:

\(v(t) = dr/dt\)

Plugging value of r into v

\(v(t) = 5i + 2j - 7k\)

Now, to find the magnitude of the velocity vector:

\(|v(t)| = \sqrt{5^2 + 2^2 + (-7)^2}\)

On adding gives:

\(|v(t)| = \sqrt{54}\)

The arc length parameter s is given by the integral of |v(t)| with respect to t with the limits from t = 0 to t = 1

\(s = \int_{t=0}^1 |v(t)| dt\)

Plugging the values of v(t) in the above equation:

\(s = \int_0^1\sqrt{54}\,dt\)

Take out the constant from the integral sign results:

\(s = \sqrt{54} \int_0^1\,dt\)

On integrating gives:

\(s = \sqrt{54}\times t |_{0}^1\)

on multiplying gives:

\(s = \sqrt{54} t |_{0}^s\)

Evaluated limits from t = 0 to t = 1:

\(s = \sqrt{54} (1-0).\)

On multiplying inside the brackets gives:

\(s = \sqrt{54} \times 1 - \sqrt{54} \times 0\)

Simplifying further:

\(s = \sqrt{54} \times 1\)

On multiplying with 1 gives:

\(s = \sqrt{54}\)

Now, given that the curve is traversed from t = -1 to t = s,

so the length of the indicated portion of the curve is simply:

\(s - (-1)\):

Length \(= s - (-1) \\= s + 1 \\= \sqrt{54} +1\)

Therefore,  arc length parameter along the curve from the point where t = 0 by evaluating the integrals s is equal to \(\sqrt{54}\) and the length of the indicated portion of the curve is \(\sqrt{54}+1\).

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Answer:

the answer is 35.0° pls thank :)

Answer:

Area = 40

Perimeter = 26

Step-by-step explanation:

length = 8

width = 5

Area = 8 x 5 = 40

Perimeter = 2(8 + 5) = 26

Answer: x2−6x−119

Step-by-step explanation:

provided in the screenshot below

Answer:

$51

Step-by-step explanation:

32+5+44

81-30

$51

Answer:

x = 20

Step-by-step explanation:

We know that the vertically opposite angles are equal.

Accordingly,

41 = 2x + 1

Subtract 1 from both sides.

41 - 1 = 2x

40 = 2x

Divide both sides by 2.

x = 20

Answer:

Try using Special Right Triangles

Step-by-step explanation:

I think it is a carry-on of special right triangles. Since it is 90 degrees let's just assume it is a 60,30,90 triangle. we know the long leg is 6 from the x-6 on the bottom left, and 4rad3 is the hypotenuse.

Long leg: rad 3

Short leg: 1

Hypotenuse: 2

use these ratios to help

I would put 4rad3 across from 2 and y across from 1

aka: 4rad3/y = 2/1

also 4rad3 across from 2 and x across from rad 3

aka:4rad3/x=2/rad3

to find y you simplify

and

to find x also simplify

The amount of money that Theresa has left is equal to £2,740.

In order to write a linear equation to describe this situation, we would assign variables to the cost of flights for each of them and the cost of accommodation for each of them respectively, and then translate the word problem into a linear equation as follows:

Let the variable a represent cost of flights for each of them.

Let the variable f represent cost of accommodation for each of them.

Since Theresa paid for herself and 11 friends to go on holiday with a flight cost of £339 and accommodation cost of £266, a linear equation to describe this situation is given by;

y = 12(a + b)

y = 12(266 + 339)

y = £7,260

For the amount of money left, we have:

Amount of money left = £10,000 - £7,260

Amount of money left = £2,740.

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Answer:

1.0496968e+13

Step-by-step explanation:

Answer:

bro how are u do u remeber me

Step-by-step explanation:

Mrs. Kenny can complete 5 projects with 1/4 of a pound of clay left over.

We know that,

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

To find out how many projects Mrs. Kenny can complete with 7/8 pound of clay, we need to divide 7/8 by 1/6:

= (7/8) ÷ (1/6)

To divide fractions, we need to invert the second fraction and multiply:

= (7/8) × (6/1)

Simplifying the fractions, we get:

(7 × 6)/(8 × 1) = 42/8 = 5 1/4

Thus, Mrs. Kenny can complete 5 projects with 1/4 of a pound of clay left over.

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