lim of x goes to a x minus a divided by the square root of x minus square root of a

A. negative 2 times the square root of a

B. 2 times the square root of a

C. the square root of a

D. 2a

Answer:

66-26 = 40

Step-by-step explanation:

u = 40 degrees

The equation is in the slope form & the slope-intercept form will be y=-32/3x+4

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

It is given that, the x-intercept is -3/8 and the y-intercept is 4. The equation of the line is,

The slope of the line is,

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1} \\\ m = \frac{4}{\frac{-3}{8} } \\\ m=\frac{-32}{3}\)

The equation of the line is,

y=mx+c

y=-32/3x+4

Thus, the equation is in the slope form & the slope-intercept form will be y=-32/3x+4

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

Since w = x + y + missing part

Since x = 0.9875 and y = 0.675, then

You should add 0 to 0.675 to be 0.6750 because the other number has 4 decimal places to do the addition correctly

Since we do not know the value of the missing part, but we know that it will add to 1.6625, so the answer must be greater than 1.6625

Answer:

The general term is

Sn = -(-2)ⁿ.3¹⁻ⁿ

step by step Explanation:

we were told to find a general term of the above sequence, what should come to mind is that the terms will follow an order....

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

The time he start shopping is 2 : 00 PM

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

Time spent = 25 minutes

Time he left the store = 2 : 25PM

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

Time he started = Time he left the store - Time spent

substitute the known values in the above equation, so, we have the following representation

Time he started = 2 : 25PM - 25 minutes

Evaluate

Time he started = 2 : 00 PM

Hence, the time he start shopping is 2 : 00 PM

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

for more search question point  

https://brainly.com/question/28162977

#SPJ8

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

For more such questions on sentence translation, click on:

https://brainly.com/question/28958546

#SPJ8

Answer:

15 just the answer because of the value given above

Answer: Value of A is 5.

Answer:

y = -3x - 1

hope this helps!

Step-by-step explanation:

By the Right Triangle Altitude Theorem, the two triangles formed by the altitude of a right triangle are similar to the original triangle and to each other.

In this case, triangle ABC is the original right triangle and CE is the altitude. Therefore, the similarity statement that is true is:

△ABC ∼ △AEC

This is because triangles ABC and AEC are both right triangles that share the angle at C, and the altitude CE creates two pairs of congruent angles (the right angles and the angle at A and E) and a pair of proportional sides (CE and AE are corresponding altitudes).

So, we can write the similarity statement as:

△ABC ~ △AEC

2077

To find the sum of an arithmetic sequence, use the formula

Step 1

Let

now, replace and calculate

therefore, the answer is

2077

I hope this helps you

Answer:.

Step-by-step explanation:

The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

To know more about probability

brainly.com/question/17011124

The difference between the depths in February and July is 31 feet.

The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:

Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.

Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.

Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.

Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.

Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.

Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.

The difference between the depths in February and July is:

|−6| − |−25| = 6 − (−25) = 6 + 25 = 31

Therefore, the correct choice is B) 31 feet.

Learn more about depth here:

brainly.com/question/20070144

#SPJ1

The expressions which are equivalent to 16a + 72 are 2(8a + 36) and 4(4a + 18)

16a + 72

= 4(4a + 18)

Also

16a + 72

= 2(8a + 36)

The equivalent expressions to 16a + 72 are 2(8a + 36) and 4(4a + 18)

Learn more about expressions:

https://brainly.com/question/723406

#SPJ1

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer: supplement <17

Step-by-step explanation:

1. 17 is greater

2. supplement is smaller

The amplitudes of functions are a) 8 and b) 6.

Given are the functions we need to determine the amplitude of function,

a) y = 8 Sin (x/2) + 3

b) y = 6 Cos x + 2

So,

To determine the amplitude of a trigonometric function, you can follow these steps:

For a sine function of the form y = A×sin(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

For a cosine function of the form y = A×cos(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

Let's apply these steps to the given functions:

a) y = 8×sin(x/2) + 3

The coefficient of sin in this function is 8, so the amplitude is |8| = 8.

Therefore, the amplitude of function a) is 8.

b) y = 6×cos(x) + 2

The coefficient of cos in this function is 6, so the amplitude is |6| = 6.

Therefore, the amplitude of function b) is 6.

Hence the amplitudes of functions are a) 8 and b) 6.

Learn more about amplitude click;

https://brainly.com/question/9525052

#SPJ1

Therefore , the solution of the given problem of equation comes out to be  the two gyms' combined fees will be identical after six months of membership.

Complex algorithms frequently employ variable words to demonstrate coherence between two opposing assertions. Equations are academic expressions that are used to demonstrate the equality of different academic figures. In this instance, normalization results in b + 7 rather than a singular formula that divides 12 through two parts as well as may be employed to evaluate data obtained from y + 7.

Here,

Assume that x is the total number of months that each gym's registration is valid.

The overall cost for Community Gym after x months can be calculated as follows:

=> C(x) = 50 + 55x

After x months, the overall expense for Ultra Sports Gym can be determined as follows:

=> U(x) = 20 + 60x

The number of months x for which the combined expenses for the two gyms are equal is what we're looking for. In order to find x, we can make the two equations equal to one another as follows:

=>  C(x) = U(x)

=>  50 + 55x = 20 + 60x

After finding x, we obtain:

=>  5x = 30

=> x = 6

As a result, the two gyms' combined fees will be identical after six months of membership.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

absolute error: 7 pounds

percent error:4.9%

Step-by-step explanation:

Absolute error:

150-143=7 pounds

Percent error:

=l\(\frac{150-143}{143}\) l x 100

=l\(\frac{7}{143}\)l x 100

=0.04895x100

=4.895...

=4.9%

Answer:

Step-by-step explanation:

you need to find how much food is used for 1 person then times that answer by 100 to find how much food is needed

Answer:

8

Step-by-step explanation:

Number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7. This can be obtained by assuming the value of number of seats in each row, forming quadratic equation and using quadratic formula to find root.

Here in the question it is given that,

We have to find the number of seats in each row.

Let us assume that the number of seats in each row be x.

From the given statement, number of seats in each row exceeds the number of rows by 7, we can write that,

Number of seats in one row = Number of rows + 7

x = Number of rows + 7

⇒ Number of rows = x - 7

Total number of seats in the auditorium can be written as,

⇒ (Number of seats in one row)(Number of rows) = Total number of seats

(x)(x - 7) = 2244

x² - 7x = 2244

⇒ x² - 7x - 2244 = 0

By using quadratic formula we can find the root,

x = (-b ± √b² - 4ac)/2a

here in the question, a = 1, b = -7, c = -2244

√b² - 4ac = √(-7)² - 4(1)(-2244)

√b² - 4ac = √49 + 8976

√b² - 4ac = √9025

√b² - 4ac = 95

x = (-b ± √b² - 4ac)/2a

x = (7 ± 95)/2

x = 102/2 or x = -88/2

⇒ x  = 51 or x = -44

Hence number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7.

Learn more about quadratic formula here:

brainly.com/question/26926523

#SPJ9

Answer:

CM = 3

MG = 15

CG = 18

Step-by-step explanation:

CM = x

MG = x + 12

C to G equals 4x + 6

CG = 4x + 6

And CM + MG (CG) also equals  2x + 12

CM + MG = 2x + 12

4x + 6 = 2x + 12 (solve for x)

Subtract 2x from both sides.

2x + 6 = 12

Subtract 6 from both sides.

2x = 6

Divide by 2

x = 3

CM = (3)

MG = 3 + 12 = 15

CG = 4(3) + 6 = 18

Answer:

A

Step-by-step explanation:

For an ideal gas : PV=RT

And the internal energy of an ideal gas:

E

in

​

=

2

3

​

RT

E

in

​

=

2

3

​

PV

V

E

in

​

​

=

2

3

​

P

Energy density (E)=

2

3

​

P

P=2/3E

Answer:35/24

Step-by-step explanation:

7/12 ➗ 2/5

Next step we change divide sign to multiplication,with the numerator and denominator of the right hand fraction inverted

7/12 x 5/2

(7x5)/(12x2)

35/24

The quotient of 7/12 divided by 2/5 is 35/24.

To divide fractions, you need to multiply the first fraction by the reciprocal (or the multiplicative inverse) of the second fraction.

The reciprocal of a fraction is obtained by swapping the numerator and the denominator.

So, to find the quotient of 7/12 divided by 2/5, you multiply 7/12 by the reciprocal of 2/5, which is 5/2.

Here are the steps:

Write down the first fraction: 7/12

Write down the reciprocal of the second fraction: 5/2

Multiply the first fraction by the reciprocal: (7/12) x (5/2)

Multiply the numerators: 7 x 5 = 35

Multiply the denominators: 12 x 2 = 24

Simplify the fraction, if possible: 35/24

Therefore, the quotient of 7/12 divided by 2/5 is 35/24.

Learn more about fraction click;

https://brainly.com/question/10354322

#SPJ6

Answer:

The probability is   \(G  =  85% \)

Step-by-step explanation:

From the question we are told that

   The percentage of parents that have one child under 18 in their homes is  k = 15%

  The percentage of parents that have two children is  T = 65%

    The percentage of parents that have three or more children is  Y = 20%

Generally the probability that any given family who is selected have two or more children at home is mathematically evaluated as

     \(G  =  T  +  Y\)

=>  \(G  =  65% +  20% \)

=>  \(G  =  85% \)

The average value of the trigonometric equation f(x) = - 2 · sin x + 5 · cos x over the interval [π, 2π] is equal to 2 / π.

In this question we find the definition of a trigonometric equation consisting in the sum of two trigonometric functions on a given interval [a, b], of which we must determine its average value by means of the following integral equation:

\(m = \frac{1}{b - a} \cdot \int\limits^b_a {f(x)} \, dx\)

Where:

First, write the entire trigonometric equation and the bounds of the interval:

f(x) = - 2 · sin x + 5 · cos x, a = π, b = 2π

Second, obtain the result of the integral equation:

\(m = -\frac{2}{2\pi - \pi}\cdot \int\limits^{2\pi}_\pi {\sin x} \, dx + \frac{5}{2\pi - \pi}\cdot \int\limits^{2\pi}_\pi {\cos x} \, dx\)

\(m = \frac{2}{\pi}\cdot \cos x\) \(|\limits_{\pi}^{2\pi}\) + \(\frac{5}{\pi}\cdot \sin x\) \(|\limits_{\pi}^{2\pi}\)  

m = (2 / π) · (cos 2π - cos π) + (5 / π) · (sin 2π - sin π)

m = (2 / π) · (1 - (- 1)) + (5 / π) · (0 - 0)

m = 2 / π

To learn more on average values on functions: https://brainly.com/question/22847740

#SPJ1