Find missing angel
X=??

184 people

groups of 13

How many vans needed to take the people to the hotel.

\( \frac{184}{13} \)

\( = 14.1538461538\)

\(nearest \: whole \: number = 14\)

therefore, they'll need 14 vans to take the people to the hotel.

answer= option B

Answer: p = 20

Step-by-step explanation: 5 x 20 = 100

-zomba

To make the system singular, we need the coefficient of one of the variables to be a multiple of the coefficient of the same variable in the other equation. Let's choose b = 4, which makes the first equation a multiple of the second:

2x + 4y = 16

4x + 8y = g

To make the system solvable, we need the two equations to not be parallel, which means the slopes must be different. Let's choose g = 32, which gives the second equation a slope of 1/2:

2x + 4y = 16

4x + 8y = 32

We can solve this system using substitution or elimination. Let's use elimination:

-2(2x + 4y = 16) -> -4x - 8y = -32

4x + 8y = 32

0 = 0

We see that the last equation is always true, which means the system has infinitely many solutions. We can find two solutions by setting x = 0 and solving for y:

2(0) + 4y = 16

y = 4

So one solution is (0,4). Now let's set y = 0 and solve for x:

2x + 4(0) = 16

x = 8

So another solution is (8,0).

To know more about coefficient, visit: brainly.com/question/28975079

#SPJ4

Answer:

y=2x-1

y=x+4/3

Step-by-step explanation:

16 square meters

Explanation

Surface area is the amount of space covering the outside of a three-dimensional shape. for a square pyramid we have:

the total surface area is the sum of 4 triangles and the square,so

surface area= area of square+4 times area of the triangle

so

Step 1

a)let

b) now, replace in the formula

so, the answer is 16 square meters

I hope this helps you

Answer:

$87.84

Step-by-step explanation:

30% = 0.3

125.49 x 0.3 = $37.647

Then we take

125.49 - 37.647 = $87.843

So, the new price is $87.84

Answer:

Engineers use the Pythagorean Theorem to figure out measurements of objects.

The correct option is:

a. nonrandom sample who do not receive a treatment.

How the treatment group would have performed in the absence of the intervention is roughly represented by the comparison group. The strength of the evaluation can increase with the comparison group's similarity to the treatment group.

The term "comparison group" in research refers to the group of patients who do not receive a treatment.

Therefore, the correct option is:

a. nonrandom sample who do not receive a treatment.

Learn more about probability on:

https://brainly.com/question/13604758

#SPJ1

In every triangle the addition of all internal angles is always 180 degrees.

So this means we can build this equation

5x + 35 + 60 = 180

now separate x values and numerical values

5x = 180 - 60 - 35

x= (180 - 60 - 35)/ 5 = 85/5 = 17

Answer:

Required two variable relation is 45x =y

Step-by-step explanation:

Speed of isabella car is v = 45 miles per hour

now, According to question she takes Y miles( = distance) in X hours (= time)

from The relation of velocity i.e.

velocity = \(\frac{distance}{time }\)

on substituting the values in the above relation we get,

v = 45 = \(\frac{y}{x}\)

on further rearranging of terms we get,

\(45x\) = y

HENCE, required relation is 45x =y , which is a two variable equation.

Answer:

ii guess 18

Step-by-step explanation:

One book costs $18.

        \(7x + 17 = 143\)

        \(7x + 17 = 143\)

        (minus 17 on both sides)

        \(7x = 126\)

        (divide both sides by 7)

        \(x = 18\)

The equation of the tangent to the curve at the point corresponding to t=-1 is y = -9x - 10.

To find the equation of the tangent at a point, we need to find the derivative of the curve and substitute the given value of the parameter into it to find the slope of the tangent at that point. Then, we use the point-slope form of the equation of a line to find the equation of the tangent.

The derivative of x = t^3 + 1 is dx/dt = 3t^2, and the derivative of y = t^10 + t is dy/dt = 10t^9 + 1.

Substituting t=-1 into the derivatives gives dx/dt = 3 and dy/dt = -9.

Therefore, the slope of the tangent at t=-1 is -9/3 = -3.

Using the point-slope form with the point (0,0) and slope -3, we get y = -3x + 0 = -3x.

To find the equation of the tangent at the point corresponding to t=-1, we substitute x = (-1)^3 + 1 = 2 and y = (-1)^10 + (-1) = 0 into the equation y = -3x, giving us y = -6.

Therefore, the equation of the tangent at the point corresponding to t=-1 is y = -3x - 6.

For more questions like Equation click the link below:

https://brainly.com/question/29657983

#SPJ11

Answer:

f = \(\frac{g}{r}\)

Step-by-step explanation:

g = fr ( isolate f by dividing both sides by r )

\(\frac{g}{r}\) = f

Answer:

0.50

Step-by-step explanation:

Nice

An independent basic service set (IBSS) does not consist of any access points.

In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.

Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.

To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.

Know more about access points here,

https://brainly.com/question/11103493

#SPJ11

The slope of a line perpendicular to this line is 3.5

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

y = -2/7x + 3/7

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

A linear equation is represented as

y = mx + c

Where

m = slope

So, we have

m = -2/7

The slope of perpendicular lines are opposite reciprocals

So, we have

new slope = -1/(-2/7)

Evaluate

new slope = 3.5

Hence, the slope of a line perpendicular to this line is 3.5

Read more about slope at

https://brainly.com/question/16949303

#SPJ1

9514 1404 393

Answer:

Step-by-step explanation:

Each inch is 25 miles, so the number of miles is 25 times the number of inches.

  3 in ⇒ (3×25 mi) = 75 mi

  7 in ⇒ (7×25 mi) = 175 mi

  10 in ⇒ (10×25 mi) = 250 mi

To find the correct form of the partial fraction decomposition for the expression:   \(\(\frac{9x^2 - 8}{(3x^2 - 4)^2}\)\)

We need to factor the denominator and decompose it into partial fractions. Let's factor the denominator first:

\(\(3x^2 - 4 = (3x - 2)(x + 2)\)\)

Now, we can decompose the expression into partial fractions using the following general form:

\(\(\frac{A}{3x - 2} + \frac{B}{x + 2} + \frac{C}{(3x - 2)^2} + \frac{D}{(x + 2)^2}\)\)

To determine the values of A, B, C, and D, we need to find the common denominator and equate the numerators:

\(\(9x^2 - 8 = A(x + 2)(3x - 2) + B(3x - 2)(x + 2) + C(x + 2) + D(3x - 2)\)\)

Now, we can solve for A, B, C, and D by comparing the coefficients of like terms on both sides of the equation.

However, by following the steps outlined above, you can determine the specific values and complete the partial fraction decomposition.

Learn more about partial fraction here:

brainly.com/question/30401693

#SPJ11

The equation of the tangent line to the curve are  \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).

It is required to find the solution.

A tangent is a line that touches the edge of a curve or circle at one point, but does not cross it. The tangent line to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point.

Given:

\(y=8\frac{lnx}{x} \\\\y'=8(\frac{1/x*x-lnx*1}{x^{2} } \\\\y'=\frac{1-lnx}{x^{2} }\)

Now, we find the slope of the tangent by inserting the point (1,0) into the derivative.

\(m_{tangent}=\frac{1-ln1}{1^{2} }\\\\m_{tangent}=1-0/1\\\\m_{tangent} =1\)

We can now find the equation, because we know the slope and a point (1, 0).

\(y-y_{1} =m(x-x_{1} )\\\)

y-0=1(x-1)

y=x-1

We can now find the equation, because we know the slope and a point (e, 8/e).

\(y-y_{1} =m(x-x_{1} )\\\\y-8/e=1(x-e)\\\\y=\frac{xe-e^{2}+8 }{e}\)

Therefore, the equation of the tangent line to the curve are  \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).

Learn more about tangent here:

https://brainly.com/question/19064965

#SPJ4

Answer:

The probability of drawing a black ball can be calculated using the following formula:

Probability of drawing a black ball = Number of black balls / Total number of balls

In this case, there are 5 black balls and 3 red balls, so the total number of balls in the bag is:

Total number of balls = 5 + 3 = 8

Therefore, the probability of drawing a black ball is:

Probability of drawing a black ball = 5/8

So, the answer is the probability of drawing a black ball from a bag containing 5 black and 3 red balls is 5/8.

Step-by-step explanation:

The blanks in each statement about the line segment should be completed as shown below.

Since we know U is the midpoint, we can say TU=8x + 11 substituting in our values for each we get:

8x + 11 = 12x - 1

Solve for x

We now want to solve for x.

−4x+11=−1

−4x = -12

x= 3

Solve for TU, UV, and TV

This is just the first part of our question. Now we need to find TU, UV, and TV. Lets start with TU and UV.

TU=8x+11 We know that x=3 so let’s substitute that in.

TU=8(3)+11

TU= 35

We will do the same for UV. From our knowledge of midpoint, we know that TU should equal UV, however let’s do the math just to confirm.

UV=12x−1 We know that x=3 so let’s substitute that in.

UV=12(3)−1

UV= 35

Based on the segment addition postulate, we have:

TU+UV=TV

35+35=TV

TV= 70

Find the detailed calculations below;

TU = UV

8x + 11 = 12x - 1

8x + 11 - 11 = 12x - 1 - 11

8x = 12x - 12

8x - 12x = 12x - 12 - 12x

-4x = -12

x = 3

By using the substitution method to substitute the value of x into the expression for TU, we have:

TU = 8x + 11

TU = 8(3) + 11

TU = 24 + 11

TU = 35

By applying the transitive property of equality, we have:

UV = TU and TU = 15, then UV = 35

By applying the segment addition postulate, we have:

TV = TU + UV

TV = 35 + 35

TV = 70

Read more on midpoint here: brainly.com/question/17918978

#SPJ1

By using mean formula, the mean number of letters given to each house is 2.1.

The mean, also known as the average, is a statistical measure that represents the central tendency of a set of data. It is calculated by adding up all the values in the data set and dividing by the number of values.

Central tendency is a statistical measure that describes the center of a data set. It is a way to summarize the data and to describe the typical or most common values in the data set.

1x14+2x17+3x0+4x9=84

14+17+9=40

mean = 84/40 = 2.1

To learn more about mean visit:

https://brainly.com/question/28670966

#SPJ1

Answer: -2 1/2

Step-by-step explanation:

First term = a = -40

Common ratio = 2nd term / First term = 20 / -40 = -1/2

5th term = ar⁴

5th term = -40 × (-1/2)⁴

5th term = -40 × 1/16

5th term = -2 1/2

As per the mentioned informations, the cash paid for rent during 2014 is calculated to be  $395,000. So, the correct  answer is option (C) i.e. $395,000.

To calculate the cash paid for rent during 2014, we need to use the information given in the problem and apply the following formula:

Cash paid for rent = Rent expense + Prepaid rent at the beginning of the period - Prepaid rent at the end of the period

Substituting the values given in the problem, we get:

Cash paid for rent = $420,000 + $70,000 - $95,000

Cash paid for rent = $395,000

Therefore, it can be concluded that the correct answer is (C) $395,000.

Learn more about Cash :

https://brainly.com/question/13226199

#SPJ4

Answer:

2⁵×2⁴=2⁹

2⁵×2⁴=2×2×2×2×2×2×2×2×2

2⁵×2⁴=4⁵

2⁵×2⁴=8³×2

Answer:

[see below]

Step-by-step explanation:

Recall the product rule: \(a^x+a^y=a^{x+y}\)

\(2^5 + 2^4 = 2^{5 + 4} = \boxed{2^9}\)

Other expressions could be:

\(2^{-2} *2^{11}=2^{-2+11} = \boxed{2^9}\)

\((2*2*2*2*2)(2*2*2*2) = 2^5 + 2^4 = \boxed{2^9}\)

Hope this helps.

Jason's trip was 9 minutes longer than his usual drive to work.

Given that,

Distance from Jason's home to office = 20 miles

Speed of driving from home to office = 50 miles/hour

Total time taken to reach from home to office = distance ÷ speed = 20/50 = 0.4 hours = 24 minutes

Thus, on a normal day, Jason takes 0.4 hours to reach his office from home.

Now, Jason drove for 12 minutes when his car broke down,

The taxi arrived 15 minutes later and drove at 40 miles/hour,

Total time spent to reach office from taxi= distance ÷ speed = 20/40 = 0.5 hours= 30 minutes

Although he already spent 12 minutes driving before the taxi arrived so,

30 - 12 = 18 minutes.

But, he waited for the taxi to arrive for 15 minutes so,

18+15 = 33 minutes.

Thus, today Jason took 33 minutes to reach the office from his home.

Therefore, Jason took (33- 24)minutes which is equal to 9 minutes longer than his usual drive to work.

To know more about time, distance and speed visit: brainly.com/question/28050940

#SPJ4

Answer:C

Step-by-step explanation: if u work it out the inequality becomes x >or equal to 5 which when graphed the circle would be filled in and the arrow would be pointed to the right for greater than 5

Answer:

Bacteria replicate by binary fission, a process by which one bacterium splits into two. Therefore, bacteria increase their numbers by geometric progression whereby their population doubles every generation time.

The general formula for a geometric sequence is\(\[{{a}_{n}}={{a}_{1}}{{r}^{n-1}}\]\)

where \(\[{{a}_{1}}\] = first term\) and\(\[{{r}_{1}}\]= common ratio\).

Step-by-step explanation:

• Given \(\[{{a}_{1}}=4\]\) and \(\[{{a}_{5}}=324\]\) , we have to find \(\[{{a}_{2,}}{{a}_{3}}\]\) and \(\[{{a}_{4}}\]\).

• In order to find the common ration consider about formula \(\[{{a}_{n}}={{a}_{1}}{{r}^{n-1}}\]\)

       \(& 324=4{{(r)}^{5-1}} \\ & 81={{(r)}^{4}} \\ & {{(3)}^{4}}={{(r)}^{4}} \\ & r=3 \\ \end{align}\)

        Bacteria found after 2 hour is  

       \(& {{a}_{2}}=4{{(3)}^{2-1}} \\ & {{a}_{2}}=12 \\ \end{align}\)

         Bacteria found after 3 hour is -

        \(& {{a}_{3}}=4{{(3)}^{2}} \\ & {{a}_{3}}=36 \\ \end{align}\)

         Bacteria found after 4 hour is –

        \(& {{a}_{4}}=4{{(3)}^{4-1}} \\ & {{a}_{4}}=4(27)=108 \\ \end{align}\)

 • Hence the bacteria found at 2,3 and 4 hours is 12,36 and 108.

Learn more about bacteria growth here:

https://brainly.com/question/21998168

the answer is C. (x+9)(x-5)

Answer:

The answer is C :)

Step-by-step explanation:

Answer:

-9h² - 12h - 3

Step-by-step explanation:

Follow the FOIL method:

FOIL = First, Outside, Inside, Last

Multiply the terms together:

First: 9h * -h = -9h²

Outside: 9h * -1 = -9h

Inside: 3 * -h = -3h

Last: 3 * -1 = -3

Combine like terms: 9h² + (-9h - 3h) - 3

9h² - 12h - 3

-9h² - 12h - 3 is your answer.

~