in the diagram below, DE is parallel to XY. What is the value of y?

Answer:

The answer is, she will receive a refund of $152

Step-by-step explanation:

Based on the information, it can be inferred that Susan can receive a 100% refund of the taxes that were erroneously charged to her.

A tax is a mandatory payment or charge collected by local, state, and national governments from individuals or businesses to cover the costs of general government services, goods, and activities.

The amount that Susan can receive as a refund :-

According to the previous information we can infer that the government can refund 100% of the money that she wrongly contributed to her taxes.

This is because this return does not have a %, but is equivalent to the excess contributions that she made.

Due to the above, we can affirm that she can receive all the surpluses that she contributed without any type of withholding or percentage.

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Most samples of 6 adults would differ from mean by no more than 1.0

In our culture, computer equations are also employed to define the systems that truly influence the social or political reality we live in. This kind of prescriptive usage of statistical equations is described.

(a) The creation of approaches and procedures utilizing statistical as well as other mathematical treatments for the quantitative analysis of data in order to investigate political structures and behavior. Questions pertaining to probability models, probability theory, measurement, and data are included.

Here n=6

p=0.77

q=1-p=1-0.77=0.23

mean=np=6*0.77=4.62=4.6

variance=npq=6*0.77*0.23=1.0626=1.1

standard deviation=sqrt(variance)=sqrt(1.0626)= 1.030825=1.0

M = 4.6

o2 = 1.1

0= 1.0

Most samples of 6 adults would differ from  mean by no more than 1.0

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Logarithm \(log(xy^{4})\)  is equal to  36.4.

We can use the properties of logarithms to simplify \(log(xy^{4})\)  :

\(log(xy^{4})\)   = \(log(x)\) +  \(log(y^{4} )\) (by the product rule)

= \(log(x)+4log(y)\)   (by the power rule)

Substituting the given values:

\(log(xy^{4})\)   =  \(log(x)+4log(y)\)

= 14.11 + 4(5.43)

= 36.4

Therefore, \(log(xy^{4})\)  = 36.4. This means that \(xy^{4}\) equals 10 to the power of 36.4. Using the inverse property of logarithms, we can find that:

\(xy^{4}\)  = \(10^{36.4}\)

= 4.17 x  \(10^{36}\)

In summary, \(log(xy^{4})\)   equals 36.4 and \(xy^{4}\)  equals 4.17 x  \(10^{36}\).

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Answer:

The answer is in the picture i put, its an equation so 8 can't write it

Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.

Answer:

2/7= 28.6%

Step-by-step explanation:

Since those are 2 specific days out of seven, we divide it so that there are 2/7 days. Then we change it to a percentage, which would be the equation of 2/7*100, which is equal to 28.57%, which rounds to 28.6%.

B (maybe)

arcsec (2)=1.04719755 rad using this knowledge... i know i have never learned this in 8th grade wth well it equals 1.04719755 rad we need to convert that into whatever those symbols are so... b forgive me if im wrong

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Austin's rate of motion is (1/70)π Radians per second.

To determine Austin's rate of motion in radians per second, we need to use the formula for angular velocity:

ω = Δθ / Δt

Where:

ω = angular velocity (in radians per second)

Δθ = change in angular displacement (in radians)

Δt = change in time (in seconds)

We know that Austin runs three-quarters of a circular track, which means he covers an arc length that is equal to three-quarters of the circumference of the circle. Let's call the radius of the circle "r". Then, the arc length covered by Austin is given by:

s = (3/4) * 2πr

s = (3/2)πr

We also know that it takes Austin 1 minute and 45 seconds to cover this distance. This is the same as 105 seconds (since 1 minute = 60 seconds).

So, Δt = 105 seconds

Now, we can calculate the change in angular displacement (Δθ). The total angle around a circle is 2π radians, so the angle covered by Austin is given by:

Δθ = (3/4) * 2π

Δθ = (3/2)π

Therefore, Austin's rate of motion (ω) in radians per second is:

ω = Δθ / Δt

ω = [(3/2)π] / 105

ω = (3/210)π

ω = (1/70)π radians per second

So, Austin's rate of motion is (1/70)π radians per second.

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Answer:

x=145°

Step-by-step explanation:

180 = 35 + x

x = 180-35

x= 145°

Answer:

(a) A = (20mg)/(2^(t/30))

(b) 12.6mg

(c) 129.6years

Step-by-step explanation:

To calculate the amount remaining after a number of half-lives, n, we can make use of:

\(A = \frac{B}{2^n}\)

Where A = amount remaining

B = initial amount

\(n = \frac{t}{t_{0.5}}\)

(a) A = (20mg)/(2^(t/30))

(b) Mass after 20years

A = (20mg)/(2^(20/30)) ≈ 12.6mg

(c) After how long will only 1mg remain:

1mg = (20mg)/(2^(t/30))

\(20mg = {2^{\frac{t}{30}}\)

Taking log of both sides we have:

Log(20) = (t/30)log(2)

t/30 = (log(20))/(log(2)) ≈ 4.3

t/30 = 4.3

t = 30 x 4.3 ≈ 129.6years.

Answer:

Answer:

124.84

Step-by-step explanation:

A = ah + bh + ch + 1 /2×√( ﹣a^4 ﹣ b^4 ﹣ c^4+ 2(ab)² + 2(ac)² + 2(bc)² ) =4×7+5×7+6×7+ 1 /2×√(-4^4 - 5^4 - 6^4 + 2(4×5)² + 2(4×6)² + 2(5×6)² )

≈ 124.84313

Step-by-step explanation:

Step-by-step explanation:

sec⁴B - sec²B = sec²B(sec²B - 1)

= (1 + tan²B)(tan²B)

= tan⁴B + tan²B

= Right-hand side (Proven)

The value for  given trigonometric functions are csc 30° = 2, cot 60°  = √3/3, cos 30 ° = √3/2, and cot 30° = √3.

A branch of mathematics called trigonometry examines correlations between side lengths and angles of the triangle. Trigonometric Identities are equality conditions that apply to all values of the variables in the equation and which require trigonometry functions.

Given, sin 30° = 1/2 and tan 30° = √3/3.

The formula for csc or cosec x = 1/sinx.

Then,

\(\begin{aligned}\csc 30^{\circ} &=\frac{1}{\frac{1}{2}}\\&=2\end{aligned}\)

The formula for cot θ = tan(90°- θ)

Then,

\(\begin{aligned}\cot 60^{\circ} & = \tan(90^{\circ}-60^{\circ}) \\&= \tan 30^{\circ}\\&=\frac{\sqrt{3}}{3}\end{aligned}\)

The formula for cos θ = sin θ/tan θ.

Then,

\(\begin{aligned}\cos 30^{\circ} &= \frac{\sin 30^{\circ}}{\tan 30^{\circ}}\\&= \frac{\frac{1}{2}}{\frac{\sqrt{3}}{3}}\\&=\frac{3}{2\sqrt3}\times \frac{\sqrt3}{\sqrt3}\\&=\frac{\sqrt3}{2} \end{aligned}\)

The formula for cot θ = 1/tan θ.

Then,

\(\begin{aligned}\cot 30^{\circ}&=\frac{1}{\tan30^{\circ}}\\&=\frac{1}{\frac{\sqrt3}{3}}\\&=\frac{3}{\sqrt3}\times\frac{\sqrt3}{\sqrt3}\\&=\sqrt{3}\end{aligned}\)

Therefore, the answers are 2, √3/3, √3/2, and √3.

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The future value of the investment is equals to $\(32,582.78\).

The number of monthly payments over 4 years is:

= 4 years x 12 months/year

= 48 months.

We will use future value of an annuity formulae to solve which is FV = PMT x [(1 + r)^n - 1] / r

Plugging in the values, we get:

FV = 650 * [(1 + 0.022/12)^48 - 1] / (0.022/12)

FV = 650 * (0.09190014604/0.00183333333)

FV = 650 * 50.1273524766

FV = 32582.7791098

FV = $32,582.78.

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The equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.

We know that the method to find the axis of the symmetry of the parabola is given by:

x = - b / 2 a

We have the general equation of the parabola as:

y = a x² + b x + c

We have the equation of the parabola as:

y = - 4 x² + 24 x - 35

Comparing from this equation, we get that:

a = - 4

b = 24

c = - 35

Now, substituting the values, we get that:

x = - 24 / 2 (- 4)

x = - 24 / - 8

x = 24 / 8

x = 3

Therefore, the equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.

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The value of the double integration is 7776 after solving and integration. the answer is 7776.

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

It is given that:

Double integration (x + y) dA

y = x²

y² = 216x

y = √216 √x

∫∫(√216 √x +  x²)

After solving:

\(\rm \int _0^{36}\int _0^6\:\left(\sqrt{216}\:\sqrt{x}\:+\:\:x²\right)dxdy\)

=7776

Thus, the value of the double integration is 7776 after solving and integration. the answer is 7776.

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The correct algebraic equation to describe x, the maximum and minimum proper temperatures for green tea is,

⇒ x = 175°F ± 10°F

We have to given that;

The proper temperature for green tea is 175 degrees Fahrenheit plus or minus 10 degrees Fahrenheit.

Now, Let x represent the maximum and minimum proper temperatures for green tea.

Hence, We get;

⇒ x = 175°F ± 10°F

So, Maximum value is,

⇒ x = 175°F + 10°F

⇒ x = 185°F

And, Minimum temp;

⇒ x = 175°F - 10°F

⇒ x = 165°F

Thus, algebraic equation to describe x, the maximum and minimum proper temperatures for green tea is,

⇒ x = 175°F ± 10°F

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Answer:

\((3,-4)\)

Step-by-step explanation:

Given

\(-7x - 2y = -13\)

\(x = 2y + 11\)

Required

Find the solution

Substitute \(2y + 11\) for x in the first equation

\(-7(2y + 11) - 2y = -13\)

Open bracket

\(-14y -77 - 2y = -13\)

Collect Like Terms

\(-14y - 2y = -13+77\)

\(-16y = 64\)

Solve for y

\(y = \frac{64}{-16}\)

\(y = -4\)

Substitute -4 for y in \(x = 2y + 11\)

\(x = 2(-4) + 11\)

\(x = -8 +11\)

\(x = 3\)

Hence, the solution is \((3,-4)\)

7) The intersection of plane DCG and plane CBF, which are perpendicular to each other, is the line CG.

8) Planes HGF and HFE are the one same and points H, F, E and G are coplanar.

9) Planes CGD and DAE intersects at line HD.

10) Two or more points are collinear if they all can be lied on the same line. An example is the line that passes through the vertices A and G of the solid in the picture.

In this problem we must apply properties related to points, lines and planes, terms considered undefined in the field of geometry. 7) According to Euclidean geometry, a line is generated by the intersection of two distinct planes, thus the intersection of plane DCG and plane CBF, which are perpendicular to each other, is the line CG.

8) Besides, a plane can be generated by three points that are not colinear to each other. The point H will be coplanar with points G, F and E if and only if the two related planes are the same.

Points H, G and F creates the plane HGF and points H, F and E creates the plane HFE and plane HGF contains the point E and the plane HFE contains the point G. Thus, planes HGF and HFE are the one same and points H, F, E and G are coplanar.

9) Planes CGD and DAE intersects at line HD.

10) Two or more points are collinear if they all can be lied on the same line. An example is the line that passes through the vertices A and G of the solid in the picture.

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Answer:

x+1.85 = 5.30

Step-by-step explanation:

3.2 mile per hour

8/ 3.2

Answer:

The number you're looking for is 18.

Step-by-step explanation:

18/2=9

9 + 15 = 24

Therefore you get 18

x = -15/2

6 = 4x + 4(9)

4x = -30

x = -30/4 = -15/2

you first substitute your given digits into the equation then you collect like terms and you get your answer

Answer:

I think it 31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

3+1=4

4+2=6

6+3=9

9+4=13

13+5=18

18+6=24

24+7=31

you start with one 3+1=4but everytime you add you add an extra 1

Answer:

(1) The slope of the line having y = 5 as its equation is zero ⇒ (C)

(2) The slope of the line having x = -4 as its equation is undefined ⇒ (B)

Step-by-step explanation:

Let us use the rules above to solve the question

(1)

∵ The equation of the line is y = 5

→ That means the line is horizontal

∴ The line is a horizontal line

∵ The slope of the horizontal line = zero

∴ The slope of the line having y = 5 as its equation is zero

(2)

∵ The equation of the line is x = -4

→ That means the line is vertical

∴ The line is a vertical line

∵ The slope of the vertical line is undefined

∴ The slope of the line having x = -4 as its equation is undefined

No, the relationship on the table is not proportional

From the question, we have the following parameters that can be used in our computation:

x   y

____ ____

6 -2

7 -1

8 0

9  1

On the table of values, we can see that:

Using the above as a guide, we have the following:

The relationship is not a proportional relationship

This is so because it does not have a constant rate (addition of 1 to x and y does not represent proportional relationship)

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Answer:

For the first city, the 95% confidence interval would be:

28,900 +/- 2300 x 3 = 28,900 +/-6900$

For the second city, the 95% confidence interval would be:

30,300 +/- 2100 x 3 = 30,300 +/- 6300$

The water level is changing in the conical funnel at the rate of 1/π in/sec.

As per the given question;

Rate of pouring of water in conical funnel =  2 in³/sec

The releasing rate = 1 in³/sec

The difference of the rate is  2 in³/sec - 1 in³/sec = 1 in³/sec

The radius of funnel = 3 inches.

The height of funnel = 6 inches.

The height if water in vessel is 2 inches.

The ratio of radius to height is;

r/h = 3/6

r/h = 1/2

r = (1/2)h

Now,

Volume of cone = (1/3)πr²h

Put the value of r in terms of h.

V = (1/3)π (1/2)²h²h

V= (1/12)πh³

Differentiate volume with respect to time.

dV/dt = (1/12)π×3×h²×(dh/dt)   ......equation 1

Put the values;

1 = (1/4)π×2²×(dh/dt)

On simplification;

dh/dt = 1/π inch/sec.

Therefore, the rate of water filling is 1/π inch/sec.

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