The sum of the lengths of the sides of this triangle is 30cm.
What is the length of the LONGEST side of the triangle in centimeters?

The general formula for the relationship amount of medication, A, that remains in your bloodstream is inversely proportional to the number of minutes is a) A = k/t.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

We know we can write y is inversely proportional to x as,

y ∝ 1/x.

y = k/x, where k is the constant of proportionality.

Therefore, The amount of medication, A, that remains in your bloodstream is inversely proportional to the number of minutes, t can be written as,

A = k/t.

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=2%

2 kg = 2000 g

x% of 2000 = 40

x/100 × 2000 = 40

x = 2%

Answer:

Both e and h and a and c

Step-by-step explanation:

e and h are corresponding angles on a transversal. Lines are parallel when the corresponding angles of a transversal have the some degree of measure

Same goes for a and c

e and g are not because g doesn't correspond to e because g is in 2 transversals.

Answer:

0

Step-by-step explanation:

[tex]\frac{x-2}{x-4}=-1, x \neq 3 \\ \\ x-2=-x+4 \\ \\ 2x=6 \\ \\ x=3[/tex]

This contradicts the domain restriction, so there are no real solutions.

Answer: 0

Step-by-step explanation:

Angle XWZ is a right angle if line WY is an altitude in triangle WXZ.

In planar geometry, an angle is a shape made up of two rays or lines that share an endpoint. The Latin word "angulus," which means "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. A geometrical shape called an angle is created by connecting two rays at their termini. In most cases, an angle is expressed in degrees. In geometry, there are several different kinds of angles.

Given,

Triangle W X Z is shown. On side ZX, an altitude is drawn at a right angle from point W to point Y. The angles ZWY and WXY are congruent.

ΔYWZ ~ ΔYXW

Angle XWZ is a right angle is true about Angle XWZ.

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Answer:Angle XWZ is a right angle if line WY is an altitude in triangle WXZ.

Step-by-step explanation:

Got it right on edge

By solving a linear inequation, it can be calculated that

The values that are solutions are

x= -2 and x= -8

What is linear inequation?

Inequation shows the comparison between two algebraic expressions by connecting the two algebraic expressions by >, <, ≥, ≤

A one degree inequation is known as linear inequation.

Here the inequation is  7x + 6 < 3x + 2

7x + 6 < 3x + 2

7x - 3x < 2 - 6

4x < - 4

x < [tex]-\frac{4}{4}[/tex]

x < -1

So the values that are solutions of the inequation are

x=-2 and x=-8

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Answer:

30 = 27 __ 3 x 9 = 54

81 / __9 = 9

2 = __4 / 8

58 x __6 = 32

72 / __8 = 9

7* __7 = 49

Step-by-step explanation:

Answer: ≈75.4 inches

Step-by-step explanation:

C=2πr

Step 1) Half of the diameter is the radius, and 2 feet equals 24 inches, so 24÷2= a radius of 12 inches

Step 2) Plug the radius into the equation: C=2π(12)=75.4 inches

Answer:

[tex](x-2)[/tex]

Step-by-step explanation:

[tex]f(2)=-40 \\ \\ f(-8)=0 \\ \\ f(3)=0 \\ \\ f(-2)=0[/tex]

By the factor theorem, [tex](x-2)[/tex] is not a factor.

B. squares due to error (SSE) is the correct option.

What is squares due to error (SSE)?

Sum Squared Error (SSE) is an accuracy metric that squares the mistakes before adding them. When the data points are of equal magnitude, it's utilised to assess the forecasting model's accuracy. The forecast is more precise the lower the SSE. Choosing the forecasting model that best suits your data will be made easier for you if you are aware of this accuracy statistic.

The sum of squares due to error (SSE) is a measure of the error in using the estimated regression equation to predict the values of the dependent variable in a sample.

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The value of y is less than or equal to 0 (y ≤ 0).

What is inequality?

In mathematics, inequalities describe the relationship between two values that are not equal. Equal means to be equal, not. The "not equal symbol (≠)" is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine whether they are less than or greater than.

Given:

4y + 1/5 ≤ 4/5

We have to find the value of y.

Subtract 1/5 from both sides,

4y + 1/5 - 1/5 ≤ 4/5 - 1/5

              4y ≤ 3/5

Multiply both sides by 1/4

4y x 1/4 ≤ 3/5 x 1/4

y ≤ 3/20

y ≤ 0.15

Hence, the value of y is less than or equal to 0 (y ≤ 0).

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The maximum amount of the original four numbers is 110.

What is the whole number?

A whole number is simply any positive number that does not include a fractional or decimal part. This means that, for example, the numbers 0, 1, 2, 3, 4, 5, 6, and 7 are all whole numbers.

Four whole numbers are each rounded to the nearest 10, which means each number can go +5 or -5.

The sum of the rounded numbers is 90, the maximum amount of the original four numbers is if +5 are added with each 4 original number.

So each number would have an extra +5.

And then the maximum number is 90 + (5 x 4) is equal to 110.

Or if the rounded-up no. were 10, 20, 30, 30.

The sum of these numbers is 90.

They can go up to 15,25,35,35.

So the sum of this is 110.

Hence, the maximum possible sum of the original four numbers is 110.

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The value of b is 18 that will cause equation 27x² + bx + 3 = 0 to have real solution.

A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.

The standard form of a quadratic equation is ax² + bx + c = 0.

Where a, b and c are constants.

The given equation is,

27x² + bx + 3 = 0.

Compare the given equation from the standard quadratic equation

ax² + bx + c = 0

Compare both the equations,

a = 27, b = b , c = 3

To find the real solution of the quadratic equation,

Substitute discriminant of the equation equal to zero.

D = 0

b² - 4ac = 0

b²  - 4 x 27 x 3 = 0

b²  = 4 x 81

b  = 2 x 9

b = 18.

The required value of b for the given equation is 18.

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Answer:

Therefore the distance between the points is 9 units.

__________________________________________________________

Hello! In this question, we will find the distance between the two given points.

__________________________________________________________

Explanation:

In this problem, we were given the points:

In order to find the distance between the two points, we will use our given information and plug it into the distance formula:

[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
In this case, our values would be:

__________________________________________________________

Solve:

Plug in the values into the formula above and solve:
[tex]d = \sqrt{(-5-4)^2+(-7-(-7))^2}\\\\d=\sqrt{(-9^)^2+(0)^2}\\\\d=\sqrt{81}\\\\\boxed{d=9}[/tex]
__________________________________________________________

Answer:

The distance between the two points would be [tex]\boxed{\text{9 units}}[/tex]

__________________________________________________________

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Answer:

To solve this system of linear equations, we need to first rewrite the equations in standard form, which is the form y = mx + b. To do this, we can isolate the y-term on one side of the equation and the x-term and constant on the other side. For example, the first equation can be rewritten as follows:

-15x + 20y = 15-5

20y = 15 - 5 - 15x

y = -3/4 x + 2

Similarly, the second equation can be rewritten as follows:

0 - 18x + 24y - 18

24y = -18 - 18x

y = -3/2 x - 1

Now that the equations are in standard form, we can find the point of intersection by setting the two equations equal to each other and solving for x:

-3/4 x + 2 = -3/2 x - 1

-3/4 x + 2 + 3/2 x = -1 + 3/2 x

x = -1/6

Substituting this value of x into either equation, we can solve for y to find the point of intersection:

y = -3/4 x + 2

y = -3/4 (-1/6) + 2

y = 1/3

Therefore, the point of intersection for these two equations is (-1/6, 1/3). This means that the system of equations has exactly one solution at this point.

Answer:

$11.0

I hope the image below explains a bit as well

I hope my answer helps you.

Answer:

tan θ = 24/7

Angle F = tan⁻¹(24/7) = 73.7° (1 d.p.)

Step-by-step explanation:

tan θ = Opposite/Adjacent

Opposite side is the side opposite angle θ

Adjacent side is the side next to the right angle and the angle θ

θ = Angle F

tan θ = 24/7

Angle F = tan⁻¹(24/7) = 73.7 (1 d.p.)

Answer:

To find (g – f)(x), we need to subtract f(x) from g(x). We can do this by substituting the expressions for f(x) and g(x) into the difference:(g – f)(x) = g(x) – f(x)

= (2 log x) – (log (x/4))We can simplify this expression by using the fact that log a - log b = log (a/b). Applying this fact, we get:(g – f)(x) = (2 log x) – (log (x/4))

= log ((x^2) / (x/4))

= log (4x)Therefore, (g – f)(x) = log (4x).

Step-by-step explanation:

Step-by-step explanation:

To find (g – f)(x), we can subtract f(x) from g(x):

(g – f)(x) = g(x) – f(x)

= 2 log x – log (x/4)

Using the logarithm identity log a - log b = log (a/b), we can rewrite the expression as:

(g – f)(x) = log x^2 - log (x/4)

= log (x^2/(x/4))

= log (4x)

Therefore, (g – f)(x) = log (4x).

Answer: 5

Step-by-step explanation:

If you plug 5/33 into a calculator (or just solve with long division), you'll find that it makes 0.151515... (with 15 repeating forever.)

In every EVEN decimal place there's a 5, but in every ODD decimal place there's a 1. (The first decimal place is 1, the second is 5, etc.)

Since 92 is an even number, there is a 5 in the 92nd decimal place.

Step-by-step explanation:

I and somebody else answered this already. how often did you post this ?

The journal entry to record the replenishment of the petty cash fund shows a debit of $45 , $25 and $8 and a net credit of $78.

Replenishment of the Petty Cash Fund:

Petty cash refers to a small amount of fund that can be used for the day to day expenses for which disbursement of checks will not be suitable. As and when the petty cash balance is being used and reduced, the fund custodian requests and receives cash from the company's regular checking account, in order to maintain the same petty cash balance it initially had, which is nothing but the replenishment of the petty cash fund.

The journal entry to record the replenishment of the petty cash fund is made below:

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Complete question is given below :

On March 20, Harbor's petty cash fund of $100 is replenished when the fund contains $22 in cash and receipts for postage $45, supplies $25, and travel expense $8.

Prepare the journal entry to record the replenishment of the petty cash fund.

The Cash account is credited, Reflecting the decrease in the petty cash fund due to the various expenses incurred.

The expenses made from the Harbor's petty cash fund, we need to record the appropriate entries to reflect the decrease in cash for each expense category. Based on the given information, the expenses include $19 for postage, $40 for supplies, $26 for travel, and $15 for miscellaneous expenses.

1. Postage Expense:

To record the expense for postage, we will debit the Postage Expense account and credit the Cash account. Assuming the Postage Expense account has a normal debit balance:

  Postage Expense   $19

     Cash                         $19

2. Supplies Expense:

For supplies expenses, we will debit the Supplies Expense account and credit the Cash account:

  Supplies Expense   $40

     Cash                       $40

3. Travel Expense:

To account for the travel expenses, we will debit the Travel Expense account and credit the Cash account:

  Travel Expense   $26

     Cash                     $26

4. Miscellaneous Expense:

Lastly, for the miscellaneous expenses, we will debit the Miscellaneous Expense account and credit the Cash account:

  Miscellaneous Expense   $15

     Cash                                  $15

After recording these entries, the petty cash fund will have been reduced by the total expenses. It's important to note that the remaining balance of the petty cash fund should be adjusted accordingly.

the journal entries to account for the expenses from the Harbor's petty cash fund are as follows:

Postage Expense   $19

  Cash                         $19

Supplies Expense   $40

  Cash                       $40

Travel Expense   $26

  Cash                     $26

Miscellaneous Expense   $15

  Cash                                  $15

These entries ensure that the appropriate expense accounts are debited and the Cash account is credited, reflecting the decrease in the petty cash fund due to the various expenses incurred.

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We know that,

When sign negative multiplied by negative then we find positive sign,

Therefore,

When sign positive multiplied by positive sign then we find positive sign,

When sign positive multiplied by negative sign then we find negative sign,

When sign negative multiplied by positive sign then we find negative sign,,

For example-

(-8)×(2)=-16

(-2)×(-2)=4

(-3)×(+3)=-9

(+3)×(+4)=+12

(+8)×(-2)=-16

According to question,

Given data in the question,

-(-B) =minus, left parenthesis, minus, B right parenthesis, equals

With the help of above Lines

we can say that,

-(-B)=-1×-(B)

=B

-(-B)=minus,left parenthesis, minus, B right parenthesis, equals

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For the give question of −(−B)=minus, left parenthesis, minus, B, right parenthesis, equals answer is -(-B)=-1×-(B)

The well-known () symbol is used in pairs to group things together or specify the order of operations in an equation. Parentheses or "round brackets" are also known as parentheses. When writing or solving equations in math, you'll frequently need to use brackets. They assist in defining the order of operations as well as grouping numbers.

We know that,

When sign negative multiplied by negative then we find positive sign,

Therefore,

When sign positive multiplied by positive sign then we find positive sign,

When sign positive multiplied by negative sign then we find negative sign,

When sign negative multiplied by positive sign then we find negative sign,,

For example-

(-8)×(2)=-16

(-2)×(-2)=4

(-3)×(+3)=-9

(+3)×(+4)=+12

(+8)×(-2)=-16

According to question,

Given data in the question,

-(-B) =minus, left parenthesis, minus, B right parenthesis, equals

With the help of above Lines

we can say that,

-(-B)=-1×-(B)

=B

-(-B)=minus, left parenthesis, minus, B right parenthesis, equals

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Answer:

(C) Square root of 80

Step-by-step explanation:

4²=16

16x5=80

Answer:

circumference (c) = 2.per(Square

Step-by-step explanation:

ar sq = l²

484 = l²

l = 22

again

p=4l=4×22=88cm

c = 2×p=2×88= 176cm

we know

c= 2πr

or, 176 = 2×22/7 × r

r = 28 cm

again

ar (circle) = πr²

= 22 / 7 × 28²=2464cm²

There is no difference between the standard and actual expenses of direct labor because the company spent a total of $248,000 on such costs over the period.

To determine the total increase recorded in the Work in Process account related to direct labor, we need to first calculate the total standard cost of direct labor for the period and then compare it to the actual cost of direct labor.

According to the standard cost card, each unit of the product requires 2 hours of direct labor at a rate of $16.00 per hour.

This means that the total standard cost of direct labor for the period is 2 * $16.00 * 7,800 = $248,000.

Since the company paid a total of $248,000 in direct labor costs during the period, there is no difference between the standard and actual costs of direct labor. Therefore, the total increase recorded in the Work in Process account related to direct labor would be $0.

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Answer:

71

Step-by-step explanation:

The rigid motion of the solid line figure is translated to the dotted line figure.

Translation describe a function that moves an object a certain distance.

In a translation, every point of the object must be moved in the same direction and for the same distance.

In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.

Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation

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