find the exterior angle of 40 and 70

Solution:

Given that;

The price of a house decreased from $400, 000 to $300, 000 in one year

The difference is

The percentage decrease will be

Hence, the percentage decrease is 25%

The limit of the given expression as x approaches 1 from the right is 1.8.

To evaluate the limit of the given expression:

\(lim_{x - > 1} + [ln(x ^ 9 - 1) - ln(x ^ 5 - 1)]\)

We can start by directly substituting x = 1 into the expression:

[ln(1⁹ - 1) - ln(1⁵ - 1)]

= [ln(0) - ln(0)]

However, ln(0) is undefined, so this approach doesn't provide a meaningful answer.

To apply L'Hôpital's Rule, we need to rewrite the expression as a fraction and differentiate the numerator and denominator separately. Let's proceed with this approach:

\(lim_{x - > 1}\)+ [ln(x⁹ - 1) - ln(x⁵ - 1)]

= \(lim_{x - > 1}\)+ [ln((x⁹ - 1)/(x⁵ - 1))]

Now, we can differentiate the numerator and denominator with respect to x:

Numerator:

d/dx[(x⁹ - 1)] = 9x⁸

Denominator:

d/dx[(x⁵ - 1)] = 5x⁴

Taking the limit again:

\(lim_{x - > 1}\)+ [9x⁸ / 5x⁴]

= \(lim_{x - > 1}\)+ (9/5) * (x⁸ / x⁴)

= (9/5) * \(lim_{x - > 1}\)+ (x⁸ / x⁴)

Now, we can substitute x = 1 into the expression:

(9/5) * \(lim_{x - > 1}\)+ (1⁸ / 1⁴)

= (9/5) * \(lim_{x - > 1}\)+ 1

= (9/5) * 1

= 9/5

= 1.8

The complete question is:

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. \(lim_{x - > 1} + [ln(x ^ 9 - 1) - ln(x ^ 5 - 1)]\)

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Answer:

0.05/1

Step-by-step explanation:

The speed is 1.25 miles per min.

Speed tells us how fast something or someone is travelling. You can find the average speed of an object if you know the distance travelled and the time it took. The formula for speed is speed = distance ÷ time.

Given:

distance = 4/5 miles

time = 16 min

Using

Speed= Distance / Time

speed =  (4/5) / 16

speed= 4/5* 1/16

speed = 5/4

speed = 1.25 miles per min

Hence,  corey’s speed in miles per minute is 1.25 miles per min.

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A major arc is an arc that is greater than 180 degrees.

A minor arc is an arc less than 180 degrees.

An acute angle is an angle less than 90 degrees.

A central angle is an angle created in the center of a circle with 2 sides being the radius.

Thus, we can see in the figure that we are talking about the angle so we can eliminate the major arc and minor arc.

Now, we clearly see that the angle is greater than 90 degrees so it cannot be an acute angle.

The correct answer is the central angle as it goes with the definition.

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Answer:

14

Step-by-step explanation:

\((x - 5)^\frac{1}{2} +5 = 2\\\sqrt{x-5} = -3\\x - 5 = 9\\x = 14\)

Answer:

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

The first line is representing the equation and the second line is its simplification after subtraction 5 from both sides.

As a result we got a square root on the left side and a negative number on he right side of the equation.

As we know a square root is never negative, the solution stops here and we should state that there is no solution, therefore the third line misleading us to get a wrong solution.

The specific number of hours of flight training required for a commercial pilot certification course for a helicopter rating may vary depending on the regulations of the aviation authority in the relevant jurisdiction.

Therefore, a definitive answer cannot be provided without knowing the specific regulations governing the commercial pilot certification course.

Commercial pilot certification courses for a helicopter rating are regulated by aviation authorities such as the Federal Aviation Administration (FAA) in the United States. These authorities establish the minimum requirements and standards for pilot training programs, including the number of hours of flight training.

The FAA's regulations for helicopter pilot certification under Part 141 of the Federal Aviation Regulations (FARs) outline the minimum flight training requirements. However, the specific number of hours required can vary based on factors such as the type of helicopter, the complexity of the training program, and any additional requirements set by the training institution.

To determine the exact number of flight training hours required for a Part 141 approved commercial pilot certification course for a helicopter rating, it is necessary to refer to the regulations of the specific aviation authority and consult the approved training program or contact a reputable flight training institution for accurate and up-to-date information.

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In order to find the sample size, we can use the following formula that relates the population and sample standard deviations:

For a confidence interval of 95%, we have z = 1.96.

Then, using the values of the standard deviations, we have:

Rounding to the next whole number, we have a sample size of 139.

To solve this question, find the 4 first terms of the sequence.

The first term is a₁

a₁ is given and a₁ = 7

The second term is a₂

Given:

Then, let's find a₂ using the value of a₁

The third term is a₃

let's find a₃ using the value of a₂

The fourth term is a₄

let's find a₄ using the value of a₃

Answer:

The four first terms are:

a₁ = 7

a₃ = 12

a₃ = 17

a₄ = 22

Answer:

Lea el párrafo y complete con las siguientes palabras que faltan:

Hereditaria Cromatina Equitativa Cromátidas Cromosomas

ADN Genes Duplica Brazos Centrómero

Los ______________________ son los portadores de nuestros _______________. A su vez, nuestros genes son los que

transmiten la información ________________________ de padres a hijos.

Él _________ se encuentra en el núcleo de la célula, unido a proteínas, formando la _________________. Cuando la

célula se va a dividir, la cromatina se _______________ para poder distribuir la información genética de forma

_____________________ entre las dos células hijas.

Tras la duplicación, cuando la célula empieza a dividirse, los cromosomas estarán formados por dos partes idénticas

denominadas ____________________, unidas entre sí por el _______________________, que divide a cada cromátida

en dos partes denominadas ________________________.

The rewritten summation is \(\sum_{m=1}^{n}m(m+1)+(n+1)(n+2)\).

A recursive function is a function that calculates subsequent terms by repeating or using its own prior terms, creating a succession of terms. By definition, the recursive function can be used to write the summation by separating the final term of the summation and adding a final term to the summation.

Given, the function is \(\sum_{m=1}^{n+1}m(m+1)\).

First, we have to separate the final term from the given summation. The final term is m = n+1 which is present above the summation. For this replace the n+1 with n.

Then, add the term m(m+1) with m in the given summation replaced by n+1.

The new summation is rewritten as,

\(\begin{aligned}\sum_{m=1}^{n+1}&=\sum_{m=1}^{n}m(m+1)+(n+1)((n+1)+1)\\&=\sum_{m=1}^{n}m(m+1)+(n+1)(n+2)\end{aligned}\)

The new summation is rewritten.

The complete question is -

Rewrite by separating off the final term \(\sum_{m=1}^{n+1}m(m+1)\)

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The expressions given in option A and option C on solving will have same value 3/2 or 1.5.

Numeric values can be obtained through the evaluation of numeric expressions, which consist of a mixture of numeric components including variables, numbers or functions, and operators. A blend of arrays and mathematical operators can be present within an expression to derive a numeric solution.

Now solving numerical expressions in the problem (refer to image attached)

A. \(\frac{1}{6} +(\frac{5}{6}+\frac{3}{6} ) = \frac{1+5+3}{6} = \frac{9}{6} =\frac{3}{2} =1.5\)

B. \(\frac{1}{3}+ \frac{5}{3}+ \frac{2}{3} =\frac{1+5+2}{3} =\frac{9}{3} =3\)

C. \(\frac{3}{5} +(\frac{1}{2} +\frac{2}{5} )=\frac{15}{10} =\frac{3}{2} =1.5\)

D. \(2+\frac{1}{2} =\frac{4+1}{2} =\frac{5}{2} =2.5\)

Hence, expressions in option A and option C have same values

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The relative frequency of selecting a blue marble is 33%

A jar contained 18 red marbles, 14 green marbles, and 20 blue marbles.

Let's event A: selecting a blue marble

⇒ n(A) = 20

Here, the number of trials (t) = 60

So, the relative frequency of selecting a blue marble would be,

⇒ f(A) = n(A)/t

⇒ f(A) = 20/60

⇒ f(A) = 1/3

The relative frequency  to the nearest percent would be,

⇒ f(A) = (1/3 × 100)%

⇒ f(A) = 33.33%

⇒ f(A) ≈ 33%

Therefore, the relative frequency of selecting a blue marble is 33%

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Complete question:

Answer:

1) By Pythagoras theorem

16² = x² + (√65)²

256 = x² + 65

x² = 256-65

x² = 191

x=√191

x=13.82 or 13.8 ft

2) 15²=x²+10²

225=x²+100

x²=225-100

x²=125

x=√125

x=11.18 or 11.2km

3) 12.36 or 12.4 cm

4) 8.36 or 8.4 mi

True, free bilirubin is transported by the blood to the liver.

Macrophages begin the disposal of hemoglobin by separating the heme from the globin. They hydrolyze the globin into free amino acids, which can be used for energy-releasing catabolism or recycled for protein synthesis.

Bilirubin

Bilirubin is a red-orange compound that occurs in the normal catabolic pathway that breaks down heme in vertebrates. This catabolism is a necessary process in the body's clearance of waste products that arise from the destruction of aged or abnormal red blood cells.

Hemoglobin

Hemoglobin is a protein in your red blood cells that carries oxygen to your body's organs and tissues and transports carbon dioxide from your organs and tissues back to your lungs.

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Answer:

equal measures:

lJP and NJR

MJP and PJR

Unequal measures:

KJL and LJM

KJR and MJP

MJK and PJR

Step-by-step explanation:

Answer:

Step-by-step explanation:

Determine whether each of the following pairs of angles have equal measures. Drag and drop each pair of angles into the correct catagory to show which pairs have equal measures.

To make a 300 mL buffer solution with a pH of 3.5, the mass of NaF required is 7.17 grams.

The buffer solution is created by mixing HF with NaF. The two ions, F- and H+, react to create HF, which is the acidic component of the buffer. The pKa is used to determine the ratio of the conjugate base to the conjugate acid in the solution. Let us calculate the mass of NaF required to make a 300 mL buffer solution with a pH of 3.5.

To calculate the mass of NaF, we need to know the number of moles of NaF needed in the solution. We can calculate this by first determining the number of moles of HF and F- in the buffer solution. Here's the step-by-step solution:

Step 1: Calculate the number of moles of HF needed: Use the Henderson-Hasselbalch equation to calculate the number of moles of HF needed to create a buffer with a pH of 3.5.pH

\(= pKa + log ([A-]/[HA])3.5\)

\(= -log(7.2*10^{-4}) + log ([F-]/[HF])[F-]/[HF]\)

= 3.16M/0.1M = 31.6mol/L.

Since we know that the volume of the buffer is 0.3L, we can use this value to calculate the number of moles of HF needed. n(HF) = C x Vn(HF) = 0.1M x 0.3Ln(HF) = 0.03 moles

Step 2: Calculate the number of moles of F- needed: The ratio of the concentration of F- to the concentration of HF is 31.6, so the concentration of F- can be calculated as follows: 31.6 x 0.1M = 3.16M. The number of moles of F- needed can be calculated using the following formula: n(F-) = C x Vn(F-) = 3.16M x 0.3Ln(F-) = 0.95 moles

Step 3: Calculate the mass of NaF needed: Now that we know the number of moles of F- needed, we can calculate the mass of NaF required using the following formula:

mass = moles x molar mass

mass = 0.95 moles x (23.0 g/mol + 19.0 g/mol)

mass = 7.17 g

So, the mass of NaF required to make a 300 mL buffer solution with a pH of 3.5 is 7.17 grams. Therefore, the correct answer is 7.17g NaF.

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The correct question would be as

Calculate the mass of NaF in grams that must be dissolved in a 0.25M HF solution to form a 300 mL buffer solution with a pH of 3.5. (Ka for HF= 7.2X10^(-4))

Answer:

A) 48.8

Step-by-step explanation:

the mean is: sum of all terms divided by number of terms

49 + 37 + 41 + 54 + 63= 244

244/ 5= 48.8

Answer:

Because the points can often represent something, i.e if you used quadratics to model say the area of something, calibrating the turning point, will give you the given length needed for the dimension of that, plus the maximum area those dimensions can yield.

Step-by-step explanation:

Answer:

m=98

Step-by-step explanation:

-6/7m=-84 - Divide both sides by -6/7

-84/(-6/7)=84*7/6=98

Answer:

m = 98

Step-by-step explanation:

First multiply the fraction's denominator, which is 7, on both sides to get -6m = -588. Then divide both sides by -6 to get m = 98.

Hope this helps you :)

    Lines that are parallel to one another on a plane do not intersect or meet at any point. They are always equidistant from one another and parallel. Non-intersecting lines are parallel lines. Parallel lines can also be said to meet at infinity.

The slope of parallel lines is the same. By converting the line 2x -4y = 8 to slope intercept form, first determine its slope.

4y = 8-2x y = 1/2x - 4 2x + 4y = 8

Here, the slope is 1/4

Fill in the point slope form with (-2, -4) and m = 1/4 After that, simplify to obtain the standard form and slope intercept form.

The slope intercept form is y = 1/4x + 6, while the point slope form is y - (-4) = 1/4(x+4).

Now, by rearranging the terms into the formula Ax + By = C, the standard form may be discovered.

6 becomes -1/4x + y = 6 when y= 1/4x + 6. Since fractions for A or B cannot be expressed in standard form, the equation is multiplied by 4 to get x + 4 y = 24.

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The probability of drawing a card that is more than 6 is given as 1 / 2.

The term probability can be defined as the concept in mathematics that has to do with the likelihood that an event is going to have to occur.

In the picture we have values that are numbered from 1 to 12 in the face of all of the cards.

The cards that are greater than 6 here are: [7, 8, 8, 10, 11, 12] = 6

The total numbers in the card are: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12] = 12

Hence the probability of card that is more than 6 = 6 / 12

= 1/2

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Answer:

20,800

Step-by-step explanation:

10.00 per hour so 10x8=80

then 80x5=400

400x52=20,800

Answer:

1 is d the answer for 2 is a

Answer:

45 your welcome <3.

It is false that when using a least squares regression line, we should not predict a value of y unless the given value of x is in the experimental region

A least square regression line equation is represented as

y = mx + c

From the question, we have the statement:

When using a least squares regression line, we should not predict a value of y unless the given value of x is in the experimental region

The above statement is false

This is because whether the x values is in the experimental region or not, the y value can be predicted

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Amanda needs to pay 1440 cedis for purchasing 8 cakes on discounted price.

Cost price is the amount we pay to buy an item at which it is available.

Here,

Selling price of a cake = 200 cedis

Discount because of sale = 10% on each unit.

                                              (Only if 4 cakes purchased at a time)

Amanda purchased 8 cakes

So, Amanda need to pay only 90 percent of the total amount.

Total cost price of 8 cakes for Amanda = (200 X 90%) X 8

                                                                  = 180 X 8

                                                                  = 1440

Thus, Amanda needs to pay 1440 cedis for purchasing 8 cakes on discounted price.

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Answer: 8 nickels, 4 dimes

Step-by-step explanation: 8 nickels = 0.40 4 dimes = 0.40

Answer:

12 nickels = 0.60 cent

Step-by-step explanation:

so she has 0.60 worth of nickels and 2 dimes

It will take 10 classes for YOGA FOR US & STRETCH LAND to have the same amount of money spent on yoga classes.

For Yoga For Us after 10 classes . You would have spent 50 dollars for the classes,plus our $30 fee is (50+30) which is $80

For Stretch Land after 10 classes.  You would have spent 20 dollars for the classes,plus our $60 fee is (60+20) which is $80.

Each yoga studio will have gathered $80 after 10 classes.

Hope this helps <3 & don't forget to drink water!!