100 POINTS PLUS BRAINILY

Answer:

B) x+(2x+5)=29

Step-by-step explanation:

Micah = x

Aria =2x+5

x+(2x+5)=29

Answer:

let micah age be X and Aria age be Y then go through with question what did it say .

Answer:

a) P (A)= 88/102= 0.8627

(b) P (B)=  89/102= 0.8725

c) P (A`) =  14/102 = 0.1372

(d) P (A∩B) = 84/102 =0.8235

(e) P(AUB)= 93/102 = 0.9117

(f)P (A`UB) = 98/102= 0.96078

Step-by-step explanation:

                                                                   edge                  

                                                  finish excellent       good           Total

(A )surface finish excellent            84                      4                  88

good                                    ( B) ⇵    5                       9                  14

Total                                               89                      13                102

a) Upper P left-parenthesis Upper A right-parenthesis equals

P (A)= 88/102= 0.8627

All the elements of set A = 84+4= 88

(b) Upper P left-parenthesis Upper B right-parenthesis equals

P (B)=  89/102= 0.8725

All the elements of set B = 84+5= 89

c) Upper P left-parenthesis Upper A prime right-parenthesis equal

P (A`) =  14/102 = 0.1372

All the elements of Universal set U which are not elements of set A = 102- 88= 14

(d) Upper P left-parenthesis Upper A intersection Upper B right-parenthesis equals

P (A∩B) = 84/102 =0.8235

Only those elements of set A and set B which are common

(e) Upper P left-parenthesis Upper A union Upper B right-parenthesis equals

P(AUB)= 93/102 = 0.9117

Totalling elements of set A and B= 88+5= 93

(f) Upper P left-parenthesis Upper A prime union Upper B right-parenthesis equals

P (A`UB) = 98/102= 0.96078

All the elements of Universal set U which are not elements of set A and the elements of Set B = 5+9+ 84= 98

Answer:

\(m_{perpendicular}\) = 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + 6y = - 24 ( subtract x from both sides )

6y = - x - 24 ( divide through by 6 )

y = - \(\frac{1}{6}\) x - 4 ← in slope- intercept form

with slope m = - \(\frac{1}{6}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{6} }\) = 6

The probability that Jessica picks a yellow pencil is 80%.

What exactly is probability?

Probability is a measure of an event's possibility or chance of occurring. It is stated as a number ranging from 0 to 1, or as a percentage ranging from 0% to 100%, where 0 indicates an impossible occurrence and 1 (or 100%) represents a certain event.

Now,

The probability of picking a yellow pencil =  the number of yellow pencils / total number of pencils:

Probability of picking a yellow pencil = Number of yellow pencils / Total number of pencils

In this case, there are 8 yellow pencils out of a total of 10 pencils:

Probability of picking a yellow pencil = 8 / 10

Simplifying the fraction by dividing both the numerator and denominator by 2, we get:

Probability of picking a yellow pencil = 4 / 5

Probability of picking a yellow pencil = 4 / 5 x 100%

Probability of picking a yellow pencil = 80%

Therefore, the probability that Jessica picks a yellow pencil is 80%.

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Slope intercept form:

y=mx+b

Where:

m= slope

b= y-intercept

We already have the slope, so:

y= -3/2x+b

Then put the coordinate values given (x,y)= (-2,-7)

-7=-3/2(-2)+b

Solve for b:

-7 = 3+b

-7-3=b

-10=b

Replace the y-intecept value:

y =-3/2x-10

Answer:3.8

Step-by-step explanation:

Answer:

it will be choice 3

Step-by-step explanation:

as if you bend each shape of each of them the only choice that will give you a pyramide with a omitted side

By comparism using the given scale ratio, the weight of Ellie at birth is 7.7pounds.

Ratio simply compares values, it shows how much of one thing is related or compared to another thing.

Given the data in the question;

To determine the weight of Ellie, we simply say;

0.75pounds : 0.9pounds = 6.4pounds : X

0.75pounds / 0.9pounds = 6.4pounds / X

Cross multiply

0.75pounds × X = 0.9pounds × 6.4pounds

0.75pounds × X = 5.76pounds²

X = 5.76pounds² / 0.75pounds

X = 7.68pounds

X = 7.7pounds

Therefore, by comparism using the given scale ratio, the weight of Ellie at birth is 7.7pounds.

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The equivalent resistance of the network shown is: \(R_{eq}=16.463\Ohm\)

So, first of all, we can start by determining what each of the resistances is equal to. In this case we can start by saying that \(R_{1}=11R_{11}\) This means that:

\(R_{1}=11(3\Ohm)\)

Therefore:

\(R_{1}=33\Ohm\)

We can now use this value to find the value of the other resistances. The given condition for the resistances can be represented with the following formula:

\(R_{n}=\frac{R_{1}}{n}\)

so:

\(R_{2}=\frac{R_{1}}{2}=\frac{33}{2}\Ohm\)

\(R_{3}=\frac{R_{1}}{3}=\frac{33}{3}\Ohm=11 \Ohm\)

\(R_{4}=\frac{R_{1}}{4}=\frac{33}{4}\Ohm\)

\(R_{5}=\frac{R_{1}}{5}=\frac{33}{5}\Ohm\)

\(R_{6}=\frac{R_{1}}{6}=\frac{33}{6}\Ohm=\frac{11}{2}\Ohm\)

\(R_{7}=\frac{R_{1}}{7}=\frac{33}{7}\Ohm\)

\(R_{8}=\frac{R_{1}}{8}=\frac{33}{8}\Ohm\)

\(R_{9}=\frac{R_{1}}{9}=\frac{33}{9}\Ohm=\frac{11}{3}\Ohm\)

\(R_{10}=\frac{R_{1}}{10}=\frac{33}{10}\Ohm\)

\(R_{11}=3\Ohm\)

So now that we know what each resistance is equal to, we can go ahead and analyze the circuit.

In this case we can see that \(R_{10}\) and \(R_{11}\) are parallel, so we can calculate their equivalent resistance.

\(R_{1011}=\frac{R_{10}R_{11}}{R_{10}+R_{11}}\)

Which yields:

\(R_{1011}=\frac{(\frac{33}{10}\Ohm)(3\Ohm)}{\frac{33}{10}\Ohm+3\Ohm}\)

\(R_{1011}=\frac{11}{7}\Ohm\)

Now, \(R_{8}\), \(R_{9}\) and \(R_{1011}\) are connected in series, so we can calculate their equivalent resistance like this:

\(R_{891011}=R_{8}+R_{9}+R_{1011}\)

\(R_{891011}=\frac{33}{8}+\frac{11}{3}+\frac{11}{7}\)

\(R_{891011}=\frac{1573}{168}\Ohm\)

Now,  we can see that \(R_{7}\) and \(R_{891011}\) are parallel, so we can calculate their equivalent resistance.

\(R_{7891011}=\frac{R_{7}R_{891011}}{R_{7}+R_{891011}}\)

Which yields:

\(R_{7891011}=\frac{(\frac{33}{7}\Ohm)(\frac{1573}{168})}{\frac{33}{7}\Ohm+\frac{1573}{168}\Ohm}\)

\(R_{7891011}=\frac{4719}{1505}\Ohm\)

Now, \(R_{5}\), \(R_{6}\) and \(R_{7891011}\) are connected in series, so we can calculate their equivalent resistance like this:

\(R_{567891011}=R_{5}+R_{6}+R_{7891011}\)

\(R_{567891011}=\frac{33}{5}\Ohm+\frac{11}{2}\Ohm+\frac{4719}{1505}\Ohm\)

\(R_{567891011}=15.236\Ohm\)

Next,  we can see that \(R_{4}\) and \(R_{567891011}\) are parallel, so we can calculate their equivalent resistance.

\(R_{4567891011}=\frac{R_{4}R_{567891011}}{R_{4}+R_{567891011}}\)

Which yields:

\(R_{4567891011}=\frac{(\frac{33}{4}\Ohm)(15.236\Ohm)}{\frac{33}{4}\Ohm+15.236\Ohm}\)

\(R_{4567891011}=5.352\Ohm\)

Now, \(R_{2}\), \(R_{3}\) and \(R_{4567891011}\) are connected in series, so we can calculate their equivalent resistance like this:

\(R_{234567891011}=R_{2}+R_{3}+R_{4567891011}\)

\(R_{234567891011}=\frac{33}{2}\Ohm+11\Ohm+5.352\Ohm\)

\(R_{234567891011}=32.852\Ohm\)

Finally, we can see that \(R_{1}\) and \(R_{234567891011}\) are parallel, so we can calculate their equivalent resistance.

\(R_{eq}=\frac{R_{1}R_{234567891011}}{R_{1}+R_{234567891011}}\)

Which yields:

\(R_{eq}=\frac{(33\Ohm)(32.852\Ohm)}{33\Ohm+32.852\Ohm}\)

\(R_{eq}=16.463\Ohm\)

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The value of x for the given triangle using Pythagoras' theorem will be 32.24 units.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

In the right-angle triangle with sides 22,16 and a common dotted line.

By Pythagoras' theorem,

Dotted line = √(22² - 16²) = 15.099

In the second right-angle triangle,

Sides are (44 - 16) = 28,15.099,x

By Pythagoras' theorem,

x = √(28² + 15.099²)

x = 32.24

Hence "The value of x for the given triangle using Pythagoras' theorem will be 32.24 units".

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Answer:

\(y +5 = -\frac{2}{3}(x - 4)\)

Step-by-step explanation:

Given

\(y = -\frac{2}{3}x + 8\)

Point (4,-5)

Required

Determine the line equation

From the question, we understand that the line is parallel to \(y = -\frac{2}{3}x + 8\)

This implies that they have the same slope, m

A linear equation is:

\(y = mx + b\)

Where

\(m = slope\)

By comparison: \(y = mx + b\) and \(y = -\frac{2}{3}x + 8\)

\(m = -\frac{2}{3}\)

Next, we determine the line equation using:

\(y - y_1 = m(x - x_1)\)

Where

\((x_1,y_1) = (4,-5)\) and \(m = -\frac{2}{3}\)

\(y - (-5) = -\frac{2}{3}(x - 4)\)

\(y +5 = -\frac{2}{3}(x - 4)\)

Hence,

Option C is correct

To check if we can simplify the fraction 38/87, we need to decompose the numerator and the denominator in their prime factors:

If the two numbers have any prime factor in common, we can divide both numbers by this prime factor. But in this case, the two numbers don't have prime factors in common, so we can't simplify the fraction further.

So the fraction 38/87 is already in the simplest fraction form.

Answer:

36

Step-by-step explanation:

48x=1728

x=36

Answer:

divided by -5

Step-by-step explanation:

Answer:

divide by 5

Step-by-step explanation:

\(1.4 < \sqrt{2} < 1.5\hspace{5em}1.7 < \sqrt{3} < 1.8 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lllll} 1.7& < &\sqrt{3}& < &1.8\\\\ 1.7-\sqrt{2}& < &\sqrt{3}-\sqrt{2}& < &1.8-\sqrt{2}\\\\ 1.7-1.5& < &\sqrt{3}-\sqrt{2}& < &1.8-1.4\\\\ 0.2& < &\sqrt{3}-\sqrt{2}& < &0.4 \end{array}\)

we're subtracting the upper-bound of √2, so is the most we can subtract from 1.7, and we're subtracting the lower-bound of √2 from 1.8, that way the resultant is within range.

Answer:

see below and attachment

Step-by-step explanation:

a=30°

because, the marked angle of 30° is an alternate interior angle to angle a.  Alternate interior angles are congruent, and we know they are congruent because the 2 horizontal lines are parallel.

b=50°

because the marked angle of 50° is a vertical angle to angle b.  Vertical angles are congruent because 2 lines that intersect have opposite congruent angles, making them vertical angles to each other.

c=50°

because the marked angle of 50° is a corresponding angle (same side angle) to angle c.  These corresponding angles are congruent because the 2 horizontal lines are parallel.

d=100°

because the 3 interior angles of a triangle must add up to 180°.  We have 30°, 50°, so the last angle must be 100°.  We can also figure this out because the bottom horizontal line is a straight line, meaning the angle is also 180°.  We have angle a as 30°, angle c as 50°, so angle d must be 100°.

Hope this helps!  See attachment for visual.

Step-by-step explanation:

The ONE  solution to this system of two lines is the point where the two lines cross   at   (1,4)

Answer:

5.4

Step-by-step explanation:

Calculate value of x using similarity ratio

7.2/x = 4/3 cross multiply expressions

21.6 = 4x divide both sides by 4

5.4 = x

Answer:

5.4

Step-by-step explanation:

Answer:

x-intercept(s):(3,0)

y-intercept(s):(0,9)

Step-by-step explanation:

Answer:

2 real solutions

Step-by-step explanation:

D = b²-4ac

If D = 0 then 1 real solution

if D > 0 2 real solutions

if D < 0 no real solutions

a = -4

b = -9

c = -3

D = 81 - 48

D = 33

2 real solutions

There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.

To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.

Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.

Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.

To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.

Therefore, there will be 12 slices of pizza left over.

To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.

If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.

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Answers:

\(f(g(x)) = \sqrt[3]{\frac{x+1}{x^3}}\\\\\\g(f(x)) = \frac{\sqrt[3]{x}+1}{x}\)

===============================================

Work Shown:

\(f(x) = \sqrt[3]{x}\\\\\\f(g(x)) = \sqrt[3]{g(x)}\\\\\\f(g(x)) = \sqrt[3]{\frac{x+1}{x^3}}\\\\\\\)

The idea is to replace every x with g(x). Then you'll plug in the definition of g(x).

---------------------------------

Similarly,

\(g(x) = \frac{x+1}{x^3}\\\\\\g(f(x)) = \frac{f(x)+1}{(f(x))^3}\\\\\\g(f(x)) = \frac{\sqrt[3]{x}+1}{(\sqrt[3]{x})^3}\\\\\\g(f(x)) = \frac{\sqrt[3]{x}+1}{x}\\\\\\\)

Answer:

The answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Step-by-step explanation:

We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.

The key will equal 2|1 means 21

Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.

Quartile:

Median, Minimum, Maximum, & Range:

Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Answer: b

step-by-step explanation:

Answer: (11/8)

Step-by-step explanation:

I will answer this in English.

a person collects 7/4 of an amount, spends 1/4 and lends 1/8. What fraction of the amount collected is left?

If the amount is A, then he collects:

C = (7/4)*A

Now, he spends 1/4 and lends 1/8 of the amount A, so the fraction left is:

Left = (7/4)*A - (1/4)*A - (1/8)*A

now i will write 7/4 as 14/8 and 1/4 as 2/8.

left = (14/8)*A - (2/8)*A - (1/8)*A  = ((14 - 2 - 1)/8)*A = (11/8)*A

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

The answer would be 792

Step-by-step explanation:

Lateral surface area for this objects formula is 2lh + 2lb because of its rectangular prism shape.