Box method sixty three
times thirty nine

first off, let's take a peek at the picture above

hmmm the hyperbola is opening sideways, that means it has a horizontal traverse axis, it also means that the positive fraction will be the one with the "x" variable in it.

now, the length of the horizontal traverse axis is 4 units, from vertex to vertex, that means the "a" component of the hyperbola is half that or 2 units, and 2² = 4, with a center at the origin.

\(\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(x- 0)^2}{ 2^2}-\cfrac{(y- 0)^2}{ (\sqrt{3})^2}=1\implies {\Large \begin{array}{llll} \cfrac{x^2}{4}-\cfrac{y^2}{3}=1 \end{array}}\)

Roland's percent error is approximately 3.889%.

This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.

The positive sign indicates that Roland's measured value is slightly lower than the actual value.

To calculate Roland's percent error, we can use the formula:

Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100

Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:

Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100

Simplifying the expression within the absolute value:

Percent Error = (|-0.007| / 0.180) \(\times\) 100

Since the absolute value of -0.007 is 0.007, we have:

Percent Error = (0.007 / 0.180) \(\times\) 100

Calculating the division:

Percent Error = 0.03889 \(\times\) 100

Percent Error = 3.889%.

For similar question on percent error.

https://brainly.com/question/28771966

#SPJ8

Answer:Michelle paid $56.15 for her shoes

Step-by-step explanation:

Answer:Michelle paid $56.15 for her shoes

Step-by-step explanation:

Since Michelle paid $3.89 more for her shoes compared to Conrad, who paid $52.26. This means you have to add $3.89 to $52.26.

$3.89+$52.25= $56.15

Read more on Brainly.com - https://brainly.com/question/12415872#readmore

According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

For more questions on algebraic expression:

https://brainly.com/question/29333936

#SPJ8

Answer:

60

Step-by-step explanation:

\(a+b+c=180\\\frac{b+c}{2}=a \rightarrow b+c=2a\\\\a+2a=180\\3a=180\\a=60\)

Therefore, the value of a is 60 degrees

Step-by-step explanation:

\(2 ^{ \frac{1}{2} } = 2 ^{1 \times \frac{1}{2} } = \sqrt{2} \\ {2}^{ \frac{2}{3} } = 2 ^{2 \times \frac{1}{3} } = \sqrt[3]{2 ^{2} } \\ 3 ^{ \frac{3}{2} } = {3}^{3 \times \frac{1}{2} } = \sqrt[]{ {3}^{3} } \\ {3}^{ \frac{1}{3} } = 3 ^{1 \times \frac{1}{3} } = \sqrt[3]{3} \)

Step-by-step explanation:

\( \sf \: {2}^{ \frac{1}{2 } } = \sqrt{2} \)

\( \sf \: {2}^{ \frac{2}{3} } = \sqrt[3]{ {2}^{2} } \)

\( \sf \: {3}^{ \frac{3}{2} } = \sqrt{ {3}^{3} } \)

\( \sf \: {3}^{ \frac{1}{3} } = \sqrt[3]{3} \)

Answer:

Step-by-step explanation:

you ok bud? dont be sad its ok :D

∠A = 41.81°

To get measure of angle A, we would apply trigonometry ratio SOHCAHTOA:

opposite = side opposite the angle = 4

hypotenuse = 6

adjacent = base = AC = ?

Since we have been given the opposite and the hypotenuse, we would use the sine ratio:

Sin A = opposite/hypotenuse

Sin A = 4/6

sin A = 0.6667

A = 41.8129 degrees

To the nearest hundredth, ∠A = 41.81°

If 14 percent of the town's population is over the age of 65 and there are 322 residents over the age of 65, then the population of the town is 2300

The percentage of people over the age of 65 = 14%

Number of residents over the age of 65 = 322

Consider the total population of the town as x

Then the equation will be

x × (14/100) = 322

From this equation we have to find the value of x, that is the population of the town.

x × (14/100) = 322

x × 0.14 = 322

x = 322/0.14

x = 2300

Hence, if 14 percent of the town's population is over the age of 65 and there are 322 residents over the age of 65, then the population of the town is 2300

Learn more about population here

brainly.com/question/15064839

#SPJ1

Answer:

6°F

Step-by-step explanation:

6+ -1 =5

There are 6° F warmer was it in Chicago than Minneapolis.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

On New Year's Day, the temperature in Chicago was 5°F.

And, That same day, the temperature in Minneapolis was - 1°F.

Hence, The temperature warmer was it in Chicago than Minneapolis is,

⇒ 5° F - (- 1)° F

⇒ 6° F

Thus, There are 6° F warmer was it in Chicago than Minneapolis.

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ2

Given the angles:

• (3x + 27) degrees

• 96 degrees

Let's solve for x

The given angles are vertical angles and vertical angles are congruent.

Hence, we have the equation:

(3x + 27) = 96

Let's solve for x from the equation.

3x + 27 = 96

Subtract 27 from both sides:

3x + 27 - 27 = 96 - 27

3x = 69

divide both sides by 3:

ANSWER:

x = 23

The theorem that justifies the similarity of the two triangles is given as follows:

A: AA.

The Angle-Angle (AA) Congruence Theorem states that if two pairs of corresponding angles are congruent, then the triangles are similar.

In other words, if two angles of one triangle are equal in measure to two angles of another triangle, then the third angle in each triangle must also be equal in measure, and the two triangles are therefore congruent.

The two pairs of corresponding angles that are congruent in this problem are given as follows:

Hence the third angle will also have the same measure for both triangles.

Hence the AA theorem can be used and the correct option is given by option A.

More can be learned about similar triangles at brainly.com/question/14285697

#SPJ1

Answer:

Kyle typed 574 words in 14 minutes. How many...........?????????

il.l just divide 574 divided by 14= 41

Step-by-step explanation:

:)

Answer:

41 like I said in the comments.

Step-by-step explanation:

Answer:

Pretty sure it's x^2−3x+2/4x-16  

Step-by-step explanation:

The simplified rational expression in this problem is given as follows:

\(\sqrt{x^{100}y^{16}} = x^{50}y^8\)

The rational expression for this problem is defined as follows:

\(\sqrt{x^{100}y^{16}}\)

The power of power rule states that when an exponential expression is elevated to a power, the powers are multiplied.

With powers, the expression is given as follows:

(x^100y^16)^1/2.

Hence the powers of the simplified expression are given as follows:

These two powers are the powers of the simplified expression given in the beginning of the answer.

More can be learned about simplification of expressions at https://brainly.com/question/723406

#SPJ1

Answer:

3*4?

Step-by-step explanation:

if you elaborate i can answer more

Answer:

i think it's 3*4? I don't know

Answer:

\(\huge\boxed{\sf x =6,\ y = 42}\)

Step-by-step explanation:

Let the numbers be x and y

x + y = 48 --------(1)

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

Put Eq. (2) in (1)

x + 7x = 48

8x = 48

Divide 8 to both sides

x = 48/8

Put x = 6 in Eq. (2)

y = 7 (6)

\(\rule[225]{225}{2}\)

Assume a is the 1st number and b is the 2nd number, a + b = 48

b = 7a (the second number is seven times the first number​)

a = a

So, equation: a + 7a = 48

a + 7a = 48

8a = 48

a = 6

To find b = 7 (6) = 42

Hope it helps!

Answer:

The number in the x place went left two units and the number in the y place went up 3 units.

Step-by-step explanation:

I hope this helps, if it does... may I be brainliest???

The inequality that represents the graph is:

x≥ -3

The inequality that represents the graph is:

x < 2

We have,

11.

From the number line,

The dot is in -3 and it extends infinitely to the right.

So,

The inequality that represents the graph is:

x≥ -3

And,

From the number line,

The open dot is in 2 and it extends infinitely to the left.

So,

The inequality that represents the graph is:

x < 2

Thus,

The inequality that represents the graph is:

x≥ -3

The inequality that represents the graph is:

x < 2

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ1

Answer:

Area of the shaded area = 60 m^2

Step-by-step explanation:

Remark

I don't think you need the 40 degrees for anything.

Formula

Area of Shaded part = area of the rectangle - area of the triangle

Solution

Area of the Rectangle

L = 12 meters

W = 10 meters

Area = 12 * 10

Area = 120 m^2

Area of the triangle

Area = 1/2 b * h

b = 12

h = 10

Area = 1/2 * 12 * 10

Area = 120/2 = 60

Area of the shaded area

120 - 60 = 60

Answer:

Step-by-step explanation:

Let the number of small boxes is s and number of large boxes is l.

s and l are our variables.

Total number of boxes is 21:

This is your first equation.

The volume of a small box is a (since it is not given, if you have it please replace it with that number), and the volume of all small boxes is as.

The volume of a larger box is 14 cubic feet, and the volume of all large boxes is 14l cubic feet.

Total volume is 252 cubic feet, add the two volumes together:

And this is your second equation (don't forget to replace a with the volume of a small box).

Answer:

55

Step-by-step explanation:

\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)

Make sure to always round up the required sample size to the nearest integer!

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

1

Step-by-step explanation:

using the rule of exponents

\((\frac{a}{b}) ^{-1}\) = \(\frac{b}{a}\) , then

\(\frac{123}{321}\) × \(\frac{456}{654}\) × \(\frac{789}{987}\) × \(\frac{321}{123}\) × \(\frac{654}{456}\) × \(\frac{987}{789}\)

[ \(\frac{123}{321}\) × \(\frac{321}{123}\) = 1 , \(\frac{456}{654}\) × \(\frac{654}{456}\) = 1 , \(\frac{789}{987}\) × \(\frac{987}{789}\) = 1 ]

= 1 × 1 × 1

= 1

84.13% of the printing jobs will be acceptable.

The new standard deviation required to achieve a minimum of 95% of jobs acceptable is 0.121.

The darkness of the print is measured quantitatively using an index. If the index is greater than or equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and not acceptable. The machines print at an average darkness of 2.2 with a standard deviation of 0.20.

The mean of the darkness of the print is µ = 2.2 and the standard deviation is σ = 0.20.Therefore, the z-score can be calculated as; `z = (x - µ) / σ`.The index required for acceptable prints is 2.0. Thus, the percentage of prints that are acceptable can be calculated as follows;P(X ≥ 2.0) = P((X - µ)/σ ≥ (2.0 - 2.2) / 0.20)P(Z ≥ -1) = 1 - P(Z < -1)Using the standard normal table, P(Z < -1) = 0.1587P(Z ≥ -1) = 1 - 0.1587= 0.8413.

To find the new standard deviation, we can use the z-score formula.z = (x - µ) / σz = (2.0 - 2.2) / σz = -1Therefore, P(X ≥ 2.0) = 0.95P(Z ≥ -1) = 0.95P(Z < -1) = 0.05Using the standard normal table, the z-score value of -1.645 corresponds to a cumulative probability of 0.05. Hence,z = (2.0 - 2.2) / σ = -1.645σ = (2.0 - 2.2) / -1.645= 0.121.

for such more question on deviation

https://brainly.com/question/475676

#SPJ8

what is the reason why some digit from the account number have been left out

\(\cfrac{40.5}{8.1} ~~ \begin{cases} 40.5\implies \frac{405}{10}\\\\ 8.1\implies \frac{81}{10} \end{cases}\implies \cfrac{ ~~ \frac{405}{10} ~~ }{\frac{81}{10}}\implies \cfrac{405}{10}\cdot \cfrac{10}{81}\implies \cfrac{405}{81}\cdot \cfrac{10}{10} \\\\\\ \cfrac{5\cdot 81}{81}\cdot \cfrac{10}{10}\implies \cfrac{5}{1}\cdot \cfrac{81}{81}\cdot \cfrac{10}{10}\implies \cfrac{5}{1}\cdot 1\cdot 1\implies \cfrac{5}{1}\)