123 grams is rounded to nearest whole. Write down the minimum possible mass it could have been. plus help

Parents Card = 1/6 cards Glen has. 1/6=0.1666667, as a percet 16.6667%

Sister Card = 1/6 cards Glen has. 1/6=0.1666667, as a percet 16.6667%

Answer:

a) 5 mm/ 3 days

b) 20 bars/ $11

c) $2/day

d) 3 cm/month

Step-by-step explanation:

a) 15/3 = 5/3

b) 4/2.20 = 20/11

c) 14/7 = 2

d) 12/4 = 3

Hope this helps (o′┏▽┓｀o)

Chandler ended up 8 feet below sea level. The negative sign indicates that his final position is below sea level. This means that he has descended further into the lake compared to the starting point on the cliff.

Chandler started on the cliff at 32 feet above sea level. When he jumped for 40 feet, we need to determine the final position in relation to sea level.

Since Chandler jumped down, the distance below sea level will be calculated as a negative value. To find how far below sea level Chandler ended up, we subtract the jump distance (40 feet) from the starting height (32 feet above sea level):

32 feet - 40 feet = -8 feet

It's important to note that negative values are used here to represent the direction and magnitude of Chandler's descent relative to sea level

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Answer:

-8 feet

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

You have to add -32+10

and you will get the answer -22

Answer:

-22

Step-by-step explanation:

On a number line, negative numbers go left and posative numbers go right. So on a numberline, if you find -32 and jump ten spaces to the right, you land on -22

Answer:

Let's denote:

- The number of orders Diane served as `D`

- The number of orders Sam served as `S`

- The number of orders Boris served as `B`

From the problem, we know:

1. `D + S + B = 54` (the total number of orders they served)

2. `D = S - 6` (Diane served 6 fewer orders than Sam)

3. `B = 2S` (Boris served 2 times as many orders as Sam)

We can substitute equations 2 and 3 into equation 1 to solve for the variables:

Substitute `D` and `B` in equation 1:

`(S - 6) + S + 2S = 54`

Combine like terms:

`4S - 6 = 54`

Add 6 to both sides:

`4S = 60`

Divide by 4:

`S = 15`

Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:

`D = S - 6 = 15 - 6 = 9`

`B = 2S = 2 * 15 = 30`

So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.

Answer:

the answers is B, 3,4,5

Step-by-step explanation:

Answer:

200 %

Step-by-step explanation:

Let the gestation period of hamsters 22 days=100%

So the gestation period of cats is 66/22*100=300%

So the gestation period of cats is 300-100=200% more than the gestation period of  hamsters

Answer:

$90

Step-by-step explanation:

A=lw

A=20x20

A=40 ft²

40x2.25=$90

Answer:

5q + 9

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

The correct answer is:

a = 43%

b = 88%

To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.

From the Venn diagram, we can gather the following information:

The circle labeled "satellite" has a value of 55.

The circle labeled "cable" has a value of 75.

The overlap between the two circles is labeled as 12.

Using this information, we can complete the table:

First column - "Satellite":

Entries: Satellite, Not satellite, Total

Total: 55 (as given in the Venn diagram)

Second column - "Cable":

Entries: Blank, 51%, Blank

To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).

Cable: 75 - 12 = 63

Therefore, the entry becomes: Blank, 51%, Blank

Third column - "Not Cable":

Entries: a, b, Blank

To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).

a: 55 - 12 = 43

To find the value for "b," we subtract the overlap (12) from the total number of households (100).

b: 100 - 12 = 88

Therefore, the entries become: 43, 88, Blank

Fourth column - "Total":

Entries: Blank, Blank, 100%

The total number of households is given as 100% (as stated in the question).

Therefore, the values of a and b in the relative frequency table are:

a = 43% (rounded to the nearest percent)

b = 88% (rounded to the nearest percent)

Hence, the correct answer is:

a = 43%

b = 88%

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Caludia needs to pay 2917.6128 as a payment of compound interest capital+interest.

What is compound interest?

compound interest is interest on principal + interest and this denotes to the addition of interest to the principal amount of a loan or deposit.

Capital(p) = $6400

Rate of interest(r) = 11%

Years(n) = 3

The general formula of compound interest is \(A= p(1+\frac{r}{100}})^n\).

Now

\(A= 6400(1+\frac{11}{100}})^3\\A=6400 \times \frac{111}{100} \times \frac{111}{100} \times \frac{111}{100}\\A= 8752.8384\)

The entire amount (Capital+interest) is equal to $8752.8384.

If we take 1 year as a period then Claudia needs to pay \(\frac{8752.8384}{3}\\=2917.6128\)

Therefore, Claudia needs to pay 2917.6128 as a payment of compound interest capital+interest.

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The possible descriptions for each circle part are as follows:

A circle is a closed two-dimensional figure that is defined as the set of all points in a plane that are equidistant from a fixed point called the center.

The main parts of a circle are:

Center: The point in the middle of the circle, denoted by the letter O.

Radius: A line segment that connects the center of the circle to any point on the circle.

Diameter: A line segment that passes through the center of the circle and connects two points on the circle.

Chord: A line segment that connects two points on the circle. A diameter is a special case of a chord that passes through the center of the circle.

Tangent: A line that intersects the circle at only one point, called the point of tangency.

Secant: A line that intersects the circle at two points.

Arc: A part of the circle defined by two endpoints on the circle and the interior of the circle between them.

Sector: A part of the circle defined by two radii and an arc between them.

Segment: A part of the circle defined by a chord and the arc between the endpoints of the chord.

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9514 1404 393

Answer:

Step-by-step explanation:

The given parallel lines mean that the two triangles are similar:

  ∆FDE ~ ∆FLK

That means corresponding sides are proportional.

  FE/FK = ED/KL

  FE = FK(ED/KL) = 4(15/6) = 10

and

  FL/FD = KL/ED

  FL = FD·KL/ED = 12(6/15) = 12(2/5) = 4.8

_____

Additional comment

Each of the diagonal lines, LD and KE, can be considered to be transversals between the parallel lines DE and KL. This means the interior angles at either end of those diagonals will be congruent. Hence the triangles are similar by the AA postulate.

Answer:

2xˆ2-4yˆ2

Step-by-step explanation:

The required number of different distances possible is given as 36.

Given that,
In a board game, the distance a player travels is equal to the sum of the numbers shown when two 6-sided dice are tossed.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
1 dice have 6 outcomes
2 dice have 6 outcomes,
Number of possible combination = 6 × 6 = 36

Thus, the required number of different distances possible is given as 36.

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Answer:

No

Step-by-step explanation:

A right triangle needs to have a right angle in this case this triangle does not. The next answer up is a triangle with 6,8, and 10 inches. This would give you a right triangle.

Also, To check if the sides are a right triangle, check if the sum of the squares of the two smaller sides equals the length of the square of the longest side.

I haven't used triangles in a long time..... so I kinda forget but the little I remember I used. Hope this helps!

Answer: No

Step-by-step explanation:  The given side lengths of the triangle are 4 inches, 6 inches, and 9 inches. To determine if the triangle is a right triangle, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Let's check if the given side lengths satisfy the Pythagorean theorem:

Using the Pythagorean theorem, we can calculate the squares of the side lengths:

4^2 = 16

6^2 = 36

9^2 = 81

Now, let's compare the sum of the squares of the two shorter sides to the square of the longest side:

16 + 36 = 52

81 = 81

Since 52 is not equal to 81, the given triangle is not a right triangle.

Answer:

Step-by-step explanation:

0

\(\bold{\huge{\underline{ Solution \:1 }}}\)

Here, we

By using basic proportionality theorem :-

That is,

\(\sf{\dfrac{ AT}{RT }}{\sf{=}}{\sf{\dfrac{BT}{ST}}}\)

Subsitute the required values,

\(\sf{\dfrac{ 8 }{ 8 + 11 }}{\sf{=}}{\sf{\dfrac{7}{7 +10}}}\)

\(\sf{\dfrac{ 8 }{ 19}}{\sf{=}}{\sf{\dfrac{7}{17}}}\)

\(\sf{\dfrac{ 8 }{ 19}}{\sf{≠}}{\sf{\dfrac{7}{17}}}\)

Hence, AB is not parallel to RS

Here, we have

By using basic proportionality theorem :-

That is,

\(\sf{\dfrac{ AT}{RT }}{\sf{=}}{\sf{\dfrac{BT}{ST}}}\)

Subsitute the required values,

\(\sf{\dfrac{ 15 }{ 15 + 5 }}{\sf{=}}{\sf{\dfrac{12}{16}}}\)

\(\sf{\dfrac{15 }{ 20}}{\sf{=}}{\sf{\dfrac{12}{16}}}\)

\(\sf{\dfrac{ 3}{ 4}}{\sf{=}}{\sf{\dfrac{3}{4}}}\)

Hence, AB is parallel to RS

\(\bold{\huge{\underline{ Solution\: 2}}}\)

Here, we have

Part 3 :-

By using basic proportionality theorem,

That is,

\(\sf{\dfrac{ AD}{AB }}{\sf{=}}{\sf{\dfrac{AE}{AC}}}\)

Subsitute the required values,

\(\sf{\dfrac{ 4}{12 }}{\sf{=}}{\sf{\dfrac{AE}{24}}}\)

\(\sf{\dfrac{ 4}{12 }}{\sf{{\times} 24= AE}}\)

\(\sf{ AE = 4 {\times} 2 }\)

\(\sf{ AE = 8 }\)

Hence, The length of AE is 8

Again , By using Basic proportionality theorem :-

That is

\(\sf{\dfrac{ AD}{AB }}{\sf{=}}{\sf{\dfrac{DE}{BC}}}\)

Subsitute the required values,

\(\sf{\dfrac{ 4}{12 }}{\sf{=}}{\sf{\dfrac{6}{BC}}}\)

\(\sf{\dfrac{ 1}{3 }}{\sf{=}}{\sf{\dfrac{6}{BC}}}\)

\(\sf{ BC = 6 {\times} 3 }\)

\(\sf{ BC = 18 }\)

Hence, The length of BC is 18 .

The component form of the following vectors is Option A. V = (38.3, 32.1).

To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.

The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.

In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.

The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).

Let's calculate the components:

x = 50 * cos(50°) ≈ 38.3

y = 50 * sin(50°) ≈ 32.1

Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).

Therefore, the correct answer is A. V = (38.3, 32.1).

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The question is incomplete. Find the full content below:

Find the component form of the following vectors. Round your answers to the tenth.

Magnitude of v = 50, direction angle θ = 50°

A. V = (38.3, 32.1)

B. V = (33.8, 31.2)

C. V = (32.1, 38.3)

D. V = (31.2, 33.8)

Answer: The friend would be 5ft tall! <3

Step-by-step explanation:

Answer:

The slope of a line perpendicular to a vertical line is zero.

Step-by-step explanation:

The smallest number of students who go to one of these clubs is 21.

A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).

Based on the given stem and leaf diagram, the smallest number of students who go to one of these clubs is represented by the leaf value "1" in the stem "2."

Therefore, the smallest number of students who go to one of these clubs is 21.

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The figure attached is composed of a cylinder and an sphere. Then:

Surface Area = Total Area of the Sphere + Side Area of the Cylinder.

Hence:

Now, the side area of the cylinder:

Finally:

ANSWER

The surface area is 1432.6 cm²

Now, to find the volume:

Total Volume = Volume of the Sphere + Volume of the Cylinder

Volume of the Sphere:

Volume of the Cylinder:

Finally:

ANSWER

The volume is 4657.9cm³

Answer:

75.2

Step-by-step explanation:

Answer:

75.2 is the answer

Step-by-step explanation:

the answer is 75.2

The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

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Answer:

13

Step-by-step explanation:

since n is 4 substitute it where there's n in the equation

3(4)+1

12+1

13

I hope this helps

Answer:

13

Step-by-step explanation:

so you start with the equation 3n+1

since you know n=4 then u put it in place of n making the equation 3*4+1

then you multiply and it's 12+1 which equals 13

Explanation:

Each table has x = 10 in it. Plug this value into the given equation.

y = -2x+17

y = -2*10+17

y = -20+17

y = -3

The input x = 10 leads to the output y = -3. Table A shows this in the middle-most row. So that's why choice A is the answer. The other tables have x = 10 lead to y values that aren't -3 (eg: choice D has x = 10 lead to y = 12), so we can rule them out.

Answer:

12

Step-by-step explanation:

1) 5+19−6(5+1−4)

2)5+19−6(6−4)

3)5+19−(6)(2)

4)5+19−12

5) 5+7

6) 12

To set up the amortization table, we can use the mortgage and interest formulas as follows:

Mortgage formula:

M = P [ i(1 + i)^n / (1 + i)^n - 1]

where M is the monthly payment, P is the principal (the amount borrowed), i is the monthly interest rate (APR divided by 12), and n is the total number of payments (20 years multiplied by 12 months per year).

Interest formula:

I = P * i

where I is the monthly interest payment, P is the remaining principal balance, and i is the monthly interest rate.

Using these formulas, we can set up the following amortization table for the first two months:

Month Payment Principal Interest Balance

1    $400,000

2    

To fill in the table, we need to calculate the monthly payment (M) and the monthly interest payment (I) for the first month, and then use these values to calculate the principal payment for the first month. We can then subtract the principal payment from the initial balance to get the balance for the second month, and repeat the process to fill in the remaining columns.

To calculate the monthly payment (M), we can use the mortgage formula:

M = P [ i(1 + i)^n / (1 + i)^n - 1]

where P is the principal amount, i is the monthly interest rate, and n is the total number of payments.

Plugging in the given values, we get:

M = 400,000 [ 0.00279 (1 + 0.00279)^240 / (1 + 0.00279)^240 - 1]

M = $2,304.14

Therefore, the monthly payment is $2,304.14.

To calculate the interest payment for the first month, we can use the interest formula:

I = P * i

where P is the remaining principal balance and i is the monthly interest rate.

Plugging in the values for the first month, we get:

I = 400,000 * 0.00279

I = $1,116.00

Therefore, the interest payment for the first month is $1,116.00.

To calculate the principal payment for the first month, we can subtract the interest payment from the monthly payment:

Principal payment = Monthly payment - Interest payment

Principal payment = $2,304.14 - $1,116.00

Principal payment = $1,188.14

Therefore, the principal payment for the first month is $1,188.14.

To calculate the balance for the second month, we can subtract the principal payment from the initial balance:

Balance = Initial balance - Principal payment

Balance = $400,000 -$1,188.14

Balance = $398,811.86

Therefore, the balance for the second month is $398,811.86.

Using these values, we can complete the first two rows of the amortization table as follows:

Month Payment Principal Interest Balance

1 $2,304.14 $1,188.14 $1,116.00 $398,811.86

2    

To fill in the remaining columns for the second month, we can repeat the process using the new balance of $398,811.86 as the principal amount for the second month. We can calculate the interest payment using the same method as before, and then subtract the interest payment from the monthly payment to get the principal payment. We can then subtract the principal payment from the balance to get the new balance for the third month, and repeat the process for the remaining months of the amortization period.

Answer:

the answer is D.191  

4(2(25)-2)-1

4(50-2)-1

4(48)-1

192-1

191

Step-by-step explanation:

hope this helps :)