a subway train with 47 people stops at a station and picks up 20 more people at the same station p people get off. there are 52 people left on the train. which equation shows how to find the value of p

Answer: [tex]h(x)=10(0.4)^x[/tex]

Step-by-step explanation:

The exponential function h, represented in the table, can be written as [tex]h(x)=ab^x[/tex]

From table, at x=0, h(x) =10

Put theses values in equation,, we get

[tex]10=a.b^0\\\\\Rightarrow\ 10= a (1)\\\\\Rightarrow\ a= 10[/tex]

Also, for x= 1 , h(x) = 4, so put these values and a=10 in the equation , we get

[tex]4=10b^1\\\\\Rightarrow\ b=\dfrac{4}{10}\\\\\Rightarrow\ b= 0.4[/tex]

Put value of a and b in the equation ,

[tex]h(x)=10(0.4)^x[/tex]  →  Required equation.

Answer:

third option

Step-by-step explanation:

Given

x² + 4x - 4 = 0 ( add 4 to both sides )

x² + 4x = 4

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 4 + 4, that is

(x + 2)² = 8 ( take the square root of both sides )

x + 2 = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex] ( subtract 2 from both sides )

x = - 2 ± 2[tex]\sqrt{2}[/tex]

Answer:

y = (-1/3)x + 5

Step-by-step explanation:

The format of the equation of line required is in slope-intercept form:

y = mx + c

m is the slope, and c is the y-intercept.

First, lets find the slope.

Randomly find 2 points on the line. Label them as (x1, y1) and (x2, y2)

Let's say I pick the points (0,5) and (9, 2).

slope m = (y2 - y1) / (x2 - x1)

slope = (2-5 ) / (9-0)

= -3 / 9

= -1/3

the y-intercept is the point where the line cuts through the y-axis, which is 5 in this case.  

Therefore, the equation of the line will be:

y = (-1/3)x + 5

Answer:

option 2

Step-by-step explanation:

The problem can be solved using Pythagoras' identity for a right triangle.

The angle between due East and due North is 90°

The solution here involves using the Cosine rule.

let x be the direct distance between house and office, then

x² = 17² + 21² - 2(17)(21)cos90° → option 2

Note that since cos90° = 0 the equation reduces to

x² = 17² + 21² ← Pythagoras' identity

The graph of the given linear equation can be seen at the end.

Here we have the linear equation:

3x - 4y = 8

Isolating, y, we can rewrite:

-3x + 4y = -8

4y = -8 + 3x

y = (-8 + 3x)/4

y = (3/4)*x - 2

Now, we can evaluate the line in two values of x, so we can get two points on the line.

Evaluating in x = 0 and x = 4 we get:

if x = 0

y = (3/4)*0 - 2 = -2

So we have the point (0, -2)

If x = 4 we get:

y = (3/4)*4 - 2 = 1

Then we have the point (4, 1).

Now we can graph these two points and connect them with a line, that is the graph of the linear equation.

The graph can be seen below.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

Answer:

-8 < x < -2

start number line at -10 and end it at 0

draw an open circle* over the dash indicating -8 and -2

connect the open circles

*open circle because it is less than and greater than, not less than or equal to and greater than or equal to

Answer:

-8<x<-2

Step-by-step explanation:

yw luv :D

Answer:

(-4, 6), (0, 2), (4, -2)

Step-by-step explanation:

You just need to guess and check.

(-4,6) → -4 + 6 = 2 ✔

(0,2) → 0+2 = 2 ✔

(4,2) → 4 + 2 = 6

(4, -2) → 4 - 2 = 2 ✔

(-4,-6) → -4 - 6 = -10

The correct answer is the second list (-4, 6), (0, 2), (4, -2)

Answer:

The answer is 0.133

Step-by-step explanation:

All you have to do is take 2/3 as if it was a whole number and divide it by 5, or if you are able to use a calculator, you can just but it in as 2 divided by 3 and then divide 5 by whatever answer you get.

Answer:

Hello! 2/3 divided by 5 in fraction will be 2/15

Step-by-step explanation:

Since we have a 5 we need to change that into a fraction

5 would turn into 1/5

Now you have to multiply both of the fractions to get your answer.

2/3 x 1/5

= 2/15

(So 2/15 will be your answer.)

Hope this helps! :)

Answer:

D. Decision support systems

Step-by-step explanation:

Operation Support System, sometimes referred to a group of computer programs that is used by the communications service provider for carrying out various operations or functions, such as monitoring, controlling, analyzing and managing a telephone or computer network.

It is often used by professionals such as Network planners, service designers, operations, architects and engineering teams in the service provider.

There are however, types of Operation Support System which are being used for different and specific purpose. They are classified into the following categories:

1. Transaction Processing Systems

2. Process control system

3. Enterprise collaboration system

4. Enterprise Resource

Hence, from the question above, the DECISION SUPPORT SYSTEM is not classified as Operation Support System.

Answer:

Hello There!

~~~~~~~~~~~~~~~~~~

Kendra is planning to ride her bike that is 84 miles long. She plans to average 7 miles per hour. How long will the trip take?

-----

time = distance/rate

-----

t = 84 miles/7 m/hr = (84/7)hrs = 12 hrs.

Cheers,

Stan H.

------

So the answer is 12 hours.

------

Hope this helped you. Brainliest would be nice!

Answer:

P=2(length+width)

the length is 4.1 cm more than the width: l=4.1+w

61=(2(4.1+w+w))

61=8.2+2w+2w

61-8.2=4w

4w=52.8

w=13.2

Answer:

14 46\14

Step-by-step explanation:

p=L+W

p=61

L=4.1

W=?

61=4.1+W

61=4.1W

61\4.1=4.1\4.1

=14 46\14

Answer: x = 137°

Step-by-step explanation:

When a quadrilateral is inscribed in a circle, the opposite angles are supplementary.

x + 43° = 180°

      x   =  137°

The value of x is 137°.

The quadrilateral whose all 4 vertices lie on the circumference of the circle is called an inscribed quadrilateral.

In inscribed quadrilateral opposite angles are supplementary i.e. sum of those opposite angles is 180°.

Here given in the picture that the measurements of the two opposite angles in the inscribed quadrilateral in the circle are 43° and x°.

So as we know in the inscribed quadrilateral opposite angles are supplementary.

So sum of those opposite angles in the quadrilateral is 180°.

so we can write x+43°= 180°

⇒ x = 180°- 43°

⇒ x = 137°

Therefore the value of x is 137°.

Learn more about inscribed quadrilateral

here: https://brainly.com/question/26690979

#SPJ2

Answer:

Yes.

Step-by-step explanation:

You are correct except to the nearest hundredth it is 795.54 cm^2.

Answer:

0.638 seconds

Step-by-step explanation:

Since the ball is being dropped from a height of 24 meters, the equation will look like this:

24=9.8/s^2.

This is asking for how much seconds it will take for the ball to fall 24 meters to the ground.

Solve the equation:

24(s^2)=9.8

(s^2)=0.408

s^2=0.408

root the number:

0.638

you can round it to the nearest whatever it's asking you to round it to

Im not an expert, so please excuse me if it's not done correctly

Answer:   [tex]\dfrac{27}{65}[/tex]

Step-by-step explanation:

There are 130 students.

There are 58 boys --> 72 girls

A) 49 chose football: 27 are girls --> 22 are boys

B) 72 girls: 24 chose running, 27 chose football --> 21 girls chose tennis

C) 27 students chose tennis: 21 are girls --> 6 are boys.

D) 58 boys: 22 chose football, 6 chose tennis --> 30 boys chose running.

[tex]\large\boxed{\begin{array}{l|cc||c}&\underline{Boys}&\underline{Girls}&\underline{Total}\\Football&22&27&49\\Tennis&6&21&27\\\underline{Running}&\underline{\quad 30\quad}&\underline{\quad 24\quad}&\underline{\quad 54\quad}\\Total&58&72&130\end{array}}[/tex]

Total running = 30 boys + 24 girls = 54

Total students = 130

[tex]\dfrac{\text{Total running}}{\text{Total students}}=\dfrac{54}{130}\quad \rightarrow \large\boxed{\dfrac{27}{65}}[/tex]

Answer:  The surface area is reduced by a factor of 16/25

Step-by-step explanation:  The area is the square measurements. So squaring the factor of the linear measurement change is the quick way is to determine the factor for the area.

The longer way-- if you had to prove your conclusion:

Compute the area of each side, add all the five sides of the prisms and find the ratio.

The area of the large prism is 500 square units.

The area of the smaller prism is 320 square units

320/500 = 32/50,  reduce again  16/25

Answer:

B. 16/25

Step-by-step explanation:

Just took the Pre-Test on Edg (2020-2021)!

Answer:

18

Step-by-step explanation:

j represents Jeffrey's age

j - 5 represents brother

Jeffrey is 23 so j = 23

j-5 = 23-5 =18 = brother

Answer:

J=23

Then J-5= his brother

substitute and u will find j-5=23-5

=18 so his brother age is 18 years old

Step-by-step explanation:

Answer:

Answer D

Step-by-step explanation:

Triangle XYZ  is rotated by a composition of 50°+40°=90° counter-clockwise. When a geometrical figure is rotated by any degree, then its shape or size does not change. A 90 degree rotation is a rotation by one quadrant, if you think of it on a coordinate plane. This inference should show you that choice D is the correct answer.

Answer:

h^2+2h

Step-by-step explanation:

Let h be the heigth of this garden

The length of this garden is 2 feet more than the heigth.

So the length can be expressed as h+2

The area of this triangle is the product of the heigth and the length.

A = h*(h+2)

A= h^2 +2h

Answer:

Step-by-step explanation:

Given,

Area of square ground = 42025

Now, let's find the length of square ground

Area of square = [tex] = {l}^{2} [/tex]

plug the values

[tex]42025 = {l}^{2} [/tex]

Swipe the sides of the equation

[tex] {l}^{2} = 42025[/tex]

Squaring on both sides

[tex] \sqrt{ {l}^{2} } = \sqrt{42025} [/tex]

Calculate

[tex]l = 205[/tex] meters

The length of square ground = 205 meters

Now,Let's find the perimeter of square

Perimeter of square [tex] = 4l[/tex]

plug the value of length

[tex] = 4 \times 205[/tex]

Multiply the numbers

[tex] = 820[/tex] meters

Hope I helped.

Best regards!!

Answer:

A - 7 = -13

Add 7

A = -6

10X - 8 = 9X + 8

Add 8

10X = 9X + 16

Subtract 9X

X = 16

In a right triangle, where a and b are the shorter sides, and c is the longer side a^2+b^2=c^2

Thus, plug in the values.

12^2+16^2=20^2

144+256=400

400=400.

Because the equation is true, 12, 16, and 20 can be a right triangle

Hope it helps <3

Answer:

For the first question/equation, A=-6. You can just add seven on both sides.

A-7+7=-13+7          A=-6

For the second question, X=16. You can minus 9x on both sides, then plus 8 on both sides. 10X-9X-8+8=9X-9X+8+8=X=16

For the last one, yes, it can because of 12^2+16^2=20^2. Which simplified is . 144+256= 400. So, yeah. It can be a right triangle.

Answer:

D

Step-by-step explanation:

|6y-3|+8=35

|6y-3|=35-8

|6y-3|=27

[|x-a|=b⇒x-a=± b]

6y-3=±27

1. case 1

6y-3=27

6y=27+3

6y=30

y=30/6=5

case 2.

6y-3=-27

6y=-27+3

6y=-24

y=-24/6=-4

so D

6m≤36

m≤36/6

or m≤6

and m+24≥20

m≥20-24

m≥-4

no solution as m≤-6 and m≥-4

Answer:

c. 108

Step-by-step explanation:

Given

Shape of container: Cube

Initial dimension of the container = 6ft by 6ft by 6ft

Initial Number of boxes = 4

Required

Calculate the number of boxes when the dimension is tripled

The first step is to calculate the initial volume of the box;

[tex]Volume = Length * Length * Length[/tex]

[tex]Volume = 6ft * 6ft * 6ft[/tex]

[tex]Volume = 216ft^3[/tex]

This implies that the container can contain 4 small boxes when its volume is 216;

Represent this as a ratio;

[tex]4 : 216[/tex]

The next step is to calculate the volume when the dimension is tripled;

[tex]New\ Length = Old\ Length * 3[/tex]

[tex]New\ Length = 6ft* 3[/tex]

[tex]New\ Length = 18ft[/tex]

Hence;

[tex]Volume = 18ft * 18ft * 18ft[/tex]

[tex]Volume = 5832ft^3[/tex]

Let the number of boxes it can contain be represented with x

Similarly, represent this as a ratio

[tex]x : 5832[/tex]

Equate both ratios;

[tex]4 : 216 = x : 5832[/tex]

Convert ratios to fractions

[tex]\frac{4}{216} = \frac{x}{5832}[/tex]

Multiply both sides by 5832

[tex]5832 * \frac{4}{216} = \frac{x}{5832} * 5832[/tex]

[tex]5832 * \frac{4}{216} = x[/tex]

[tex]\frac{5832 *4}{216} = x[/tex]

[tex]\frac{23328}{216} = x[/tex]

[tex]108 = x[/tex]

[tex]x = 108[/tex]

Hence, the maximum number of boxes it can contain is 108

Answer:

T1he values for x and y of the equations is y = 11, and x = -19/5.

Step-by-step explanation:

To solve this question, we need to rearrange the expression:

5x+4y=25 - (5x+2y=3)

Look, if we subtract one equation to the other, then:

5x+4y=25 [1]

-(5x+2y=3) [2]

Which is the same as:

5x+4y=25

-5x-2y=-3

Subtract them:

5x+4y=25

-5x-2y=-3

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

      2y =22

y = 22/2 = 11

Then, y = 11.

To find x, we can substitute y in either equation [1] or [2].

Let us use [1]

5x+4y=25

5x+4(11)=25

5x+44=25

5x=25-44

5x=-19

x = -19/5

Then, the values for x and y of the equations is y = 11, and x = -19/5.

Answer:

The answer is "[tex]\bold{(x,y)\longrightarrow (x-8, y-7)}[/tex]".

Step-by-step explanation:

In the given question some data is missing. so, the correct answer to this can be explained in the following example:

In the given example, point D  is also known as the coordinates in the (2, 5), and in the coordination of the D prime (D') and after translation its co-ordinates value is (-6, -2). Since the very first choice is only accurate as:

⇒2-8 = -6

⇒ 5-7 = -2

It can try certain things too and see why this alone is the correct translation.  

Answer:

a) Multiplied by 1.04

b)160(1.06)=169.6

Step-by-step explanation:

Its increasing so (1+4%) will be what it multiplied to.

Hope it helps u

160(1+6%)=169.6

Answer:

45.

Step-by-step explanation:

100% of a number is the number itself. So, 100% of 45 is 45.

Hope this helps!

Answer:it’s 45

Step-by-step explanation:It’s just the whole number nothing less:)

Hi there! :)

Answer:

Choice D. (y - 4) = 3(x + 2)

Step-by-step explanation:

An equation in point-slope form is:

(y - y1) = m(x - x1)

Where:

y1 = y-coordinate of a point

m = slope

x1 = x-coordinate of a point

In this instance, the point given is (-2, 4) with a slope of 3. Therefore, the equation in point-slope form would be Choice D. (y - 4) = 3(x + 2)

Answer:

Step-by-step explanation:

answer is C

Because formula of equation of slop is

Y-y1=m(x-x1)

Answer:

Cos ∅ = 3/5

BUT COSINE IS NEGATIVE IN THE SECOND QUADRANT.

Thus cos∅= -3/5

Answer:

Step-by-step explanation:

[tex]5x + y = 28[/tex]

[tex]x + y = 8[/tex]

Solve the equation for y by moving 'x' to R.H.S and changing its sign

[tex]5x + y = 28[/tex]

[tex]y = 2 - x[/tex]

Substitute the given value of y into the equation 5x + y = 28

[tex]5x + 2 - x = 28[/tex]

Solve the equation for x

Collect like terms

[tex]4x + 2 = 28[/tex]

Move constant to R.H.S and change its sign

[tex]4x = 28 - 2[/tex]

Subtract the numbers

[tex]4x = 26[/tex]

Divide both sides of the equation by 4

[tex] \frac{4x}{4} = \frac{26}{4} [/tex]

Calculate

[tex]x = \frac{26}{4} [/tex]

Reduce the numbers with 2

[tex]x = \frac{13}{2} [/tex]

Now, substitute the given value of x into the equation y = 2 - x

[tex]y = 2 - \frac{13}{2} [/tex]

Solve the equation for y

[tex]y = - \frac{9}{2} [/tex]

The possible solution of the system is the ordered pair ( x , y )

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

Let's check if the given ordered pair is the solution of the system of equation:

plug the value of x and y in both equation

[tex]5 \times \frac{13}{2} - \frac{9}{2} = 28[/tex]

[tex] \frac{13}{2} - \frac{9}{2} = 2[/tex]

Simplify the equalities

[tex]28 = 28[/tex]

[tex]2 = 2[/tex]

Since , all of the equalities are true, the ordered pair is the solution of the system.

[tex](x \:, y \: ) = ( \frac{13}{2} \: , - \frac{9}{2}) [/tex]

Hope this helps....

Best regards!!

Answer:

[tex]\boxed{x=6.5} \\ \boxed{y=-4.5}[/tex]

Step-by-step explanation:

5x + y = 28

x + y = 2

Subtract both equations. (eliminating y variable)

4x + 0 = 26

4x = 26

Divide both sides by 4.

x = [tex]\frac{26}{4}[/tex]

x = 6.5

Plug x as 6.5 in the second equation and solve for y.

6.5 + y = 2

Subtract 6.5 on both sides.

6.5 - 6.5 + y = 2 - 6.5

y = -4.5