PLS HELP.

y/-5 = 1/10

solve for y. use inverse operations to solve. enter in simplest form.

Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

Answer:

24 oranges

Step-by-step explanation:

you just need to add 6 4 times

6+6+6+6

or

6×4

In 700 years the population of Transylvania will double  

What is growth rate ?

the typical annual rate of population change during a particular period for a certain nation, region, or geographic area. In most cases, a factor of 100 is used to describe the ratio between the annual growth in population size and the total population for the year.

Growth rate equals Absolute Change divided by Previous Value. Calculate the percentage of change: Percent of change = Growth rate x 100 is the formula that may be used to calculate the percent of change.

To calculate in how many years the population of Transylvania double

= 70 / 0.1

= 700 years

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Answer: The discount price is $11.60. The discount is $46.40. (I didn't know which answer you wanted)

Step-by-step explanation: First, you need to find the discount. To do that, all you need to do is multiply 58 by 80/100 (this is still equal to 80%). You should get 46.40 (you might get 46.4 but it's the same thing), Then, subtract 46.40 form 58. You should get 11.60. So your final answer should be $11.60.

Check the picture below atop.

we know is an equilateral triangle, meaning that all its interior angles are 60°, and thus if we run a line from the top vertex as you see there, we end up with a 30-60-90 triangle, either way there's an equation to get its height, and anyhow the altitude of it is 6√3.

As the rectangle moves up and down the triangle, with the rectangle having a width of "w" and a length of "L", the triangle that it forms above itself is a triangle, always with a base of "L" and a height of 6√3 - w.

BTW we laid the rectangle as you see on the bottom side, but laying it anywhere else it'd have ended up in the same arrangement.

well, with the bottom of the rectangle beign parallel to that of the side of the circumscribing triangle, the small upper triangle is similar to the containing triangle by AAA, and since we have similar triangles, we can say that.

\(\cfrac{6\sqrt{3}}{12}=\cfrac{6\sqrt{3}-w}{L}\implies \cfrac{\sqrt{3}}{2}=\cfrac{6\sqrt{3}-w}{L}\implies L\sqrt{3}=12\sqrt{3}-2w \\\\\\ L=\cfrac{12\sqrt{3}-2w}{\sqrt{3}}\implies L=12-\cfrac{2w}{\sqrt{3}}\implies L=2\left(6-\cfrac{w}{\sqrt{3}} \right) \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{Area of the rectangle}}{A=wL\implies A(w)=w\cdot 2\left(6-\cfrac{w}{\sqrt{3}} \right)}\implies A(w)=2\left(6w-\cfrac{w^2}{\sqrt{3}} \right)\)

\(\cfrac{dA}{dw}=2\left(6-\cfrac{2w}{\sqrt{3}} \right)\implies \cfrac{dA}{dw}=4\left(3-\cfrac{w}{\sqrt{3}} \right) \\\\[-0.35em] ~\dotfill\\\\ 0=4\left(3-\cfrac{w}{\sqrt{3}} \right)\implies \boxed{w=3\sqrt{3}}\)

hmmm the way I usually run a 1st derivative test is, by using the critical point and slicing from it just a tiny bit, like say 3√3 - 0.000000001 to check the region on the left and then 3√3 + 0.000000001 to check the region on the right.

Check the picture at the bottom, the 1st derivative test more or less gives us those values, positive on the left-side and negative on the right-side, meaning as you can see in the arrows, is a maximum at that point.

\(\stackrel{\textit{we know that}}{L=2\left(6-\cfrac{w}{\sqrt{3}} \right)}\implies L=2\left(6-\cfrac{3\sqrt{3}}{\sqrt{3}} \right)\implies \boxed{L=6}\)

The approximate volume of the conical paper cup is approximately 10.8603 cubic inches to the nearest tenth.

To calculate the approximate volume of the conical paper cup, we can use the formula for the volume of a cone:

V = (1/3) * π * r^2 * h

Given:

Height (h) = 3 1/2 inches = 7/2 inches

Diameter (d) = 2 5/8 inches = 21/8 inches (since diameter = 2 * radius)

To find the radius (r), we divide the diameter by 2:

r = (21/8) / 2 = 21/16 inches

Substituting the values into the volume formula:

V = (1/3) * π * (21/16)^2 * (7/2)

V = (1/3) * 3.1416 * (441/256) * (7/2)

V ≈ 10.8603 cubic inches (rounded to the nearest tenth)

Therefore, the approximate volume of the conical paper cup is approximately 10.8603 cubic inches to the nearest tenth.

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Answer:

Division!

Step-by-step explanation:

(1/6) ÷ (3/7)

(1/6)(7/3)

= 7 / 18

The ending balance is $1032.5.

What is simple interest?

Simple interest is an interest rate that is solely calculated on the principal amount or the portion of the principal that is still owed. It does not take compounding into account. Simple interest may be used on a schedule other than annually, such as every month, week, or even every day.

Here, we have

Given: P = $2,500, r = 5.9%, t = 7 years

Convert 5.9% to a decimal

5.9% = 5.9 ÷ 100

 = 0.059

Substitute the values into the simple interest formula,

I = Prt   and we get

I = Prt

= 2500 × 0.059 × 7

= $1032.5

Hence, the ending balance is $1032.5.

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Compared with the graph of the parent function, an equation which shows only a vertical compression by a scale factor of 1/3 and a shift downward of 4 units is: A. y = 1/3∛x - 4.

In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric objects (shapes) such as equilateral triangles, square, quadrilaterals, polygons, etc., which can be used to either vertically or horizontally enlarge or reduce (compress) a function representing their size.

Generally speaking, the transformation rule for the dilation of a geometric object (square) based on a specific scale factor is given by this mathematical expression:

(x, y)      →    (SFx, SFy)  = (1/3x, 1/3y)

Where:

In this scenario, the only equation that is vertically compressed by a scale factor of 1/3 and translated (shifted) downward by 4 units is given by:

y = 1/3∛x - 4.

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Answer:

The first part is A

and second part is D

Step-by-step explanation:

100% on edge 2023

9514 1404 393

Answer:

  B, D, F

Step-by-step explanation:

The length of the third side must lie strictly between the sum and difference of the given lengths. If the third side is x, you must have ...

  7-4 < x < 7+4

  3 < x < 11

The numbers in the list of choices that lie between these limits are 5, 7, 9, choices B, D, F.

Answer:

-1/2

Step-by-step explanation:

In the equation y=mx+b..

y and x are the coordinates that go into your function

m is the slope

and b is the y intercept

looking at y=-1/2x-3 i can tell that -1/2 is in the place of m which is slope, and -3 is the y intercept.

Answer:

y=4/3x

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-0)/(3-0)

m=4/3

y-y1=m(x-x1)

y-0=4/3(x-0)

y=4/3(x)

y=4/3x

Answer:

1).false 2). false 3).true 4). true

Step-by-step explanation:

1).All whole numbers are integers, so s...” That's right! All whole numbers are integers, so since 0 is a whole number, 0 is also an integer.

3).. Integers include all whole numbers and their negative counter part e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4,… Where a and b are both integers. is a rational number but not an integer. 4). All integers are rational number. Since we can rewrite an integer into a fractional form by diving it by 1. For example, 4=41 4 = 4 1 . But not all rational numbers are integer.

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\(

1) \: \: \: \: False\)

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\(

2) \: \: \: \: False\)

\(Exam)\frac{1}{2} \: \: is \: \: rational \: \: but \: \: it \: \: is \: \: not \: integer \\ \)

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\(

3) \: \: \: False\)

\(Exam)- 1 \: \: is \: \: integer \: \: but \: \: it \: \: is \: \: not \: \: whole \: \: number \\ \)

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\(4) \: \: \: \: True\)

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The equation relating L to D is; L = 9 + D

Please find attached the graph of L = 9 + D, created with MS Excel

An equation is a statement of equivalence between two expressions, and a function maps a value in a set of input values to a value in the set of output values.

The initial length of the road = 9 miles

The length of road the construction crew is adding each day = 1 mile

The length in mile of the road after D days = L

The equation for the length is therefore;

The graph of the length of the road can therefore be obtained from the equation for the length by plotting the ordered pairs obtained from the equation.

Please find attached the graph of the equation created using MS Excel.

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Answer:

-400i

General Formulas and Concepts:

Algebra II

Step-by-step explanation:

Step 1: Define

z = -400i - 44.5

Step 2: Identify

Treat imaginary i as a variable. The imaginary part of z would be the entire term of i. Therefore, our answer is -400i

Answer: -4

Step-by-step explanation:

If homogenous equation ax^2+2hxy+by^2=0---------------(a)

represent two perpendicular lines then, a+b=0

Calculation :

Given 3x² - 8xy + my² = 0

on comparing with equation (a) we get, a=3 and b=k

given lines are mutually perpendicular then

m+3= 0

m=-3

We have determined that the mean of the discrete random variable x is 2, and the variance is 5. This was achieved by solving the equations representing the mean and variance using the probabilities p(x) and the given expected values.

The mean of a discrete random variable x is given by the formula:

\(E(X) = \mu = \sum{x \cdot p(x)}.\)

Both E(X) and \(\mu\) represent the mean of the variable.

The probability p(x) represents the likelihood of x taking the value x. In this case, the expected value for E(X) is 2, so we can express it as:

\(2 = \sum{x \cdot p(x)}\) (1)

Similarly, the variance is defined as:

\(\Var(X) = E(X^2) - [E(X)]^2\).

Here, \(E(X^{2})\) represents the expected value of\(X^{2}\), and E(X) represents the mean of X.

The given expected value for \(E(X^{2})\) is 9, so we can write:

\(9 = \sum{x^2 \cdot p(x)}\)(2)

Now, we have two equations (1) and (2) with two unknowns, p(x and x, which we can solve.

Let's start with equation (1):

\(2 = \sum{x \cdot p(x)}\)

\(= 1 \cdot p_1 + 2 \cdot p_2 + 3 \cdot p_3 + \dots + 6 \cdot p_6\)

\(= p_1 + 2p_2 + 3p_3 + \dots + 6p_6 (3)\)

Next, let's consider equation (2):

\(9 = \sum{x^2 \cdot p(x)}\)

\(= 1^2 \cdot p_1 + 2^2 \cdot p_2 + 3^2 \cdot p_3 + \dots + 6^2 \cdot p_6\)

\(= p_1 + 4p_2 + 9p_3 + \dots + 36p_6\) (4)

We have equations (3) and (4) with two unknowns, p(x) and x.

We can solve them using simultaneous equations.

From equation (3), we have:

\(2 = p_1 + 2p_2 + 3p_3 + 4p_4 + 5p_5 + 6p_6\)

We can express \(p_1\) in terms of\(p_2\) as follows:

\(p_1 = 2 - 2p_2 - 3p_3 - 4p_4 - 5p_5 - 6p_6\)

Substituting this in equation (4), we get:

\(9 = (2 - 2p_2 - 3p_3 - 4p_4 - 5p_5 - 6p_6) + 4p_2 + 9p_3 + 16p_4 + 25p_5 + 36p_6\)

\(= 2 - 2p_2 + 6p_3 + 12p_4 + 20p_5 + 30p_6\)

\(= 7 - 2p_2 + 6p_3 + 12p_4 + 20p_5 + 30p_6\)

We can express \(p_2\) in terms of \(p_3\) as follows:

\(p_2 = \frac{7 - 6p_3 - 12p_4 - 20p_5 - 30p_6}{-2}\)

\(p_2 = -\frac{7}{2} + 3p_3 + 6p_4 + 10p_5 + 15p_6\)

Now, we substitute this value of \(p_2\)in equation (3) to get:

\(2 = p_1 + 2(-\frac{7}{2} + 3p_3 + 6p_4 + 10p_5 + 15p_6) + 3p_3 + 4p_4 + 5p_5 + 6p_6\)

\(= -7 + 8p_3 + 16p_4 + 27p_5 + 45p_6\)

Therefore, we obtain the values of the probabilities as follows:

\(p_3 = \frac{5}{18}$, $p_4 = \frac{1}{6}$, $p_5 = \frac{2}{9}$, $p_6 = \frac{1}{6}$, $p_2 = \frac{1}{9}$, and $p_1 = \frac{1}{18}.\)

Substituting these values into equation (3), we find:

\(2 = \frac{1}{18} + \frac{1}{9} + \frac{5}{18} + \frac{1}{6} + \frac{2}{9} + \frac{1}{6}\)

2 = 2

Thus, the mean of the discrete random variable x is indeed 2.

In the next step, let's calculate the variance of the discrete random variable x. Substituting the values of p(x) in the variance formula, we have:

\(\Var(X) = E(X^{2}) - [E(X)]^{2}\)

\(= 9 - 2^{2}\)

= 5

Therefore, the variance of the discrete random variable x is 5.

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Answer:

The answer is  11

Step-by-step explanation:

Answer:6

Step-by-step explanation:48 DividEd bg 8 is 6

Answer:

Step-by-step explanation:

option c is correct

product of two numbers can be written as 4x

Hence, the correct option is: a battery that takes 516 charges is more likely for prototype b, because the absolute value of the z-score for prototype a is less than for prototype b.

Two different prototypes of rechargeable batteries, a and b, were tested by a battery manufacturer that could be implemented for a new line of consumer-grade rechargeable batteries.

The research team conducted a test with 200 aa batteries from each prototype to drain and recharge each battery until they could no longer take a charge.

The number of cycles is recorded and provided in the accompanying samples. Each prototype has a battery that took 516 charges.

In order to determine the probability of batteries of Prototype A or Prototype B taking 516 charges, we need to calculate the z-scores. Z-score of Prototype

A:Z = (516 - 531.5) / 29.99 = -0.5168Z-score of Prototype B:Z = (516 - 506.5) / 26.71 = 0.3556

Now, comparing both Z-scores we can see that the absolute value of the z-score for prototype a is less than for prototype b. Therefore, a battery that takes 516 charges is more likely for prototype b.

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Each angle is 53 degrees, 32 degrees, and 95 degrees.

We know that,

A triangle is a three-sided polygon that is sometimes (but not always) referred to as the trigon. Every triangle has three sides and three angles, which may or may not be the same. Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The total of the triangle's three angles equals 180 degrees. A triangle is a three-sided polygon with three vertices. The angle produced within the triangle is 180 degrees. It signifies that the total of a triangle's internal angles equals 180°.

Here,

The sum of angles of triangle is 180 degrees.

4x+5+7x+11+2x+8=180

13x+24=180

13x=156

x=12

T=4x+5

=4*12+5

=53 degree

U=2x+8

=2*12+8

=32 degree

V=7x+11

=7*12+11

=95 degree

The measure of each angle is 53 degree, 32 degree and 95 degree.

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Based on the given information, the estimate for the number of cells in a T75 flask can be calculated by comparing the number of cells in the picture to the field of view area and then scaling it up to the size of the T75 flask.

Given that there are 55 cells in the picture, we can use this information to estimate the density of cells in the field of view. The field of view has dimensions of 1.85 mm x 1.23 mm, which gives an area of 2.7095 square millimeters (\(mm^2\)). To calculate the cell density, we divide the number of cells (55) by the area (2.7095 \(mm^2\)), resulting in an approximate cell density of 20.3 cells per \(mm^2\).

Now, to estimate the number of cells in a T75 flask, we need to know the size of the flask's growth area. A T75 flask typically has a growth area of about 75 \(cm^2\). To convert this to \(mm^2\), we multiply by 100 to get 7500 \(mm^2\).

To estimate the number of cells in the T75 flask, we multiply the cell density (20.3 cells/\(mm^2\)) by the growth area of the flask (7500 \(mm^2\)). This calculation gives us an approximate estimate of 152,250 cells in the T75 flask. It's important to note that this is just an estimate, and actual cell counts may vary depending on various factors such as cell size, confluency, and experimental conditions.

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Using the permutation formula, it is found that the approximate probability that exactly one of the four characters will be a number is of 44%.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, the order is important, as a different order means a different password, hence the permutation formula is used.

What is the permutation formula?

The number of possible permutations of x elements from a set of n elements is given by:

P₍ₙ,ₓ₎ = n!/(n-x)!

In this problem, the total outcomes are given by 4 characters from a set of 36(26 lower-case letters and 10 digits), hence:

P₍₃₆,₄₎ = 36!/(36-4)! = 1413720

For the desired outcomes, we have:

One number from a set of 10.

Three letters from a set of 26.

4 possible arrangements(N-L-L-L, L-N-L-L, L-L-N-L, L-L-L-N), hence:

P₍₂₆,₃₎ = 26!/(26-3)! = 624000

Hence, the probability is of:

p = D/T = 624000 /1413720 = 0.4414

Hence of approximately 44%.

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