Six men completed a task in 24 hrs and 48 min. How long, in hours and minutes, would it take four men to complete the same task?

Answer:

r=9

Step-by-step explanation:

We can use the Pythagorean to solve, since this is a right triangle

The leg lengths are r and 12

The hypotenuse is (r+6)

a^2 + b^2 = c^2

r^2 + 12^2 = (r+6)^2

Foiling out the right hand side

(r+6)(r+6_ = r^2+6r+6r+36

r^2 +144 = r^2 +12r+36

Subtracting r^2 from each side

r^2-r^2 +144 = r^2-r^2 +12r+36

144 = 12r+36

Subtract 36 from each side

144-36 = 12r+36-36

108 = 12r

Divide each side by 12

108/12 = 12r/12

9=r

AC=AB+BC

AC=6+r

AD=12

DC=r

by Pythagorus theorem

AC*2=AD*2+DC*2

(6+r)*2=12*2+r*2

36+12r+r*2=144+r*2

12r+r*2-r*2=144-36

12r=108

r=108/12

r=9

Answer: Option A

[tex]y=\left \{ {{x^2 +2;\ \ x<1 \atop {-x+2;\ \ x\geq1}} \right.[/tex]

Step-by-step explanation:

In the graph we have a piecewise function composed of a parabola and a line.

The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.

The equation of this parabola is [tex]y = x ^ 2 +2[/tex]

Then we have an equation line[tex] y = -x + 2 [/tex]

Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."

(this is [tex]x< 1[/tex])

Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle .

(this is [tex]x\geq 1[/tex])

Then the function is:

[tex]y=\left \{ {{x^2 +2;\ \ x<1 \atop {-x+2;\ \ x\geq1}} \right.[/tex]

Answer:

46 years

Step-by-step explanation:

We have the logistic growth function [tex]f(t)=\frac{25,000}{1+8.25e^{-0.076t}}[/tex]  and we want to find the time when the population will reach 20,000, to do it we just need to replace [tex]f(x)[/tex] with 20,000 and solve for [tex]t[/tex]:

[tex]f(t)=\frac{25,000}{1+8.25e^{-0.076t}}[/tex]

[tex]20,000=\frac{25,000}{1+8.25e^{-0.076t}}[/tex]

Divide both sides by 25,000

[tex]\frac{20,000}{25,000} =\frac{1}{1+8.25e^{-0.076t}}[/tex]

[tex]0.8=\frac{1}{1+8.25e^{-0.076t}}[/tex]

Multiply both sides by [tex]1+8.25e^{-0.076t}[/tex] and divide  them by 0.8

[tex]1+8.25e^{-0.076t}=1.25[/tex]

Subtract 1 from both sides

[tex]8.25e^{-0.076t}=0.25[/tex]

Divide both sides by 8.25

[tex]e^{-0.076t}=\frac{0.25}{8.25}[/tex]

[tex]e^{-0.076t}=\frac{1}{33}[/tex]

Take natural logarithm to both sides

[tex]ln(e^{-0.076t})=ln(\frac{1}{33} )[/tex]

[tex]-0.076t=ln(\frac{1}{33} )[/tex]

Divide both sides by -0.076

[tex]t=\frac{ln(\frac{1}{33} )}{-0.076}[/tex]

[tex]t[/tex] ≈ 46

We can conclude that the population will reach 20,000 after 46 years.

Answer: second option.

Step-by-step explanation:

The formula for calculate the area of a square is:

[tex]A=s^2[/tex]

Where "s" is the lenght of any side of the square.

You know that the square grass field is 75 meters long and they plan to reduce the side lengths of the grass field by 5 meters each week and the number of weeks is "t", then, the area after "t" weeks will be:

[tex]A=[s_{original}-(s_{eliminated})(number\ of\ week)]^2[/tex]

Substituting you get that the function that can be used to calculate the area of the grass field, "A" after "t" weeks is:

[tex]A=(75-5t)^2[/tex]

This matches with the second option.

The answer to Number 9 is D and the answer to number 10 is D because in number 9, City P is above 0 and City R is a negative number and below 0. In number 10, Point A is at -20 and Point B is 5 less. That would get you the equation -20-5. -20-5 = -25. On a number line, -25 is less than -20 and would be on the left side of Point A. Hope this helps!

Whatever he or she said is correct

Answer:

Part 1) The volume is 0.276556 m³

Part 2) The volume is 276.556 l

Part 3) The volume is 16,886.94 in³

Part 4) The volume is 9.68 ft³

Step-by-step explanation:

A rectangular solid measures 4.9 m by 8.3 cm by 6.8 dm

Part 1) Express its volume in cubic meters

Convert the measures to meters

Remember that

1 m=100 cm

1 m=10 dm

4.9 m

8.3 cm=8.3/100=0.083 m

6.8 dm=6.8/10=0.68 m

Find the volume

V=4.9*0.083*0.68=0.276556 m³

Part 2) Express its volume in liters

Convert the measures to liters

Remember that

1 m³=1,000 l

we have

V=0.276556 m³

so

Convert to liters

0.276556 m³=0.276556*1,000=276.556 l

Part 3) Express its volume in cubic inches

Convert the measures to inches

we have

4.9 m, 0.083 m, 0.68 m

Remember that

1 m= 39.3701 in

so

4.9 m=4.9*39.3701=192.91 in

0.083 m=0.083*39.3701=3.27 in

0.68 m=0.68*39.3701=26.77 in

Find the volume

V=192.91*3.27*26.77=16,886.94 in³

Part 4) Express its volume in cubic feet

Convert the measures to feet

we have

4.9 m, 0.083 m, 0.68 m

Remember that

1 m=3.28084 ft

so

4.9 m=4.9*3.28084=16.08 ft

0.083 m=0.083*3.28084=0.27 ft

0.68 m=0.68*3.28084=2.23 ft

Find the volume

V=16.08*0.27*2.23=9.68 ft³

Answer: About 5 months

Equation:

t = I / Pr

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

then, solving our equation

t = 1.92 / ( 120 × 0.04 ) = 0.4

t = 0.4 years

The time required to

accumulate simple interest of $ 1.92

from a principal of $ 120.00

at an interest rate of 4% per year

is 0.4 years (about 0 years 5 months).

use reapeted addition and keep adding +$0.50 until you get $4.00 for it to be equal with Jason's total which was $4.00

so it will be at 3 miles.

or just multiply micheals total by 3.:) hope it helped!!

Answer:

The fares paid by Michael and Jason will never be equal.

Step-by-step explanation:

Answer: D

Step-by-step explanation:

if the slope is 7, mx + b =y the slope is m. that’s the only one that makes sense. hope this helps!

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here slope m = 7, thus

y = 7x + c ← is the partial equation

To find c substitute (1, 2) into the partial equation

2 = 7 + c ⇒ c = 2 - 7 = - 5

y = 7x - 5 → D

Answer:

• Gayle: 14

• Crystal: 3

Step-by-step explanation:

Let g represent the number of paperclips Gayle has. Then 42/g is the number Crystal has. The relationship between the two numbers is said to be ...

g - (42/g) = 11

Multiplying by g gives ...

g^2 -42 = 11g

g^2 -11g -42 = 0 . . . . subtract 11 g to put into standard form

To factor this, you are looking for two factors of -42 that sum to -11.

-42 = -42·1 = -21·2 = -14·3 = -7·6

You can see that -14 and 3 sum to -11, so the factoring is ...

(g -14)(g +3) = 0

g = 14 . . . . . . . . . . makes the product zero. (The g=-3 solution is extraneous.)

Gayle has 14 paperclips and Crystal has 3.

OK the answer is (6,7). THis is true because you always put the x coordinate first and then the y coordinate and the x axis is horizontal and the y axis is vertical.

Answer:

From the Information provided by the graph shown above, i can conclude that Berlin's location on the graph is (6,7)

Answer:

Step-by-step explanation:

The equation of a circle is:

(x - h)² + (y - k)² = r²

where (h, k) is the center and r is the radius.

So here, the center is (-2, 4), and the radius is 5.

Here's a graph: desmos.com/calculator/5zqdaam1w2

I love unit rate 13/34=0.38 months to write 1 chapter or write 2.62 in one month (34/13)

x is equivalent to 20

Since this is a vertical angle, we can do this:

2+3x=62. Solve the equation:

3x=62-2

3x=60

x=20 is the answer.

Hope I helped!

~Potato

If we are talking trigonometry, the answer is 24/32. If they want you to simplify your answer it would be 3/4.

Answer:

Step-by-step explanation:

well let break it down

you have 1/10

you need 4 and 3/10

that can be changed to 43/10 because you need 4 WHOLE or 40/10 (40/10 = 4)

if you can pour 1/10 and you need a total of 43/10, you'd need to use 43 of the 1/10 measuring cups

To measure out 4 3/10 cups of flour using only a 1/10 measuring cup, you would need to fill the 1/10 measuring cup 43 times.

To determine how many 1/10 cups are needed to measure out 4 3/10 cups of flour, start by converting the desired amount into tenths.

4 3/10 cups can be thought of as 4 cups plus 3/10 of a cup, which is equivalent to 40/10 cups plus 3/10 cups, giving us 43/10 cups in total.

Since you only have a 1/10 measuring cup, you would need to use this cup a total of 43 times to get 43/10 cups of flour. Therefore, you would need to use the 1/10 measuring cup 43 times to obtain the necessary flour for the recipe.

Answer:

294 Joules.

Step-by-step explanation:

For this all you have to do is use the equation for PE or Potential Energy. Which is given by ... PE = mgh.

m = the mass in kg

g  = the accerlation due to gravity (9.8 m/s^2)

h  = the height of the object in meters.

so... 10 kg (9.8)(3m) = 294 J

Answer:

294!

Step-by-step explanation:

edge 2021 enjoy

Hello There!

Slope: 1

Equation: y = x - 2

Let's start by finding the slope. To find the slope of a given equation, subtract the y values over the x values.

y1 - y2 / x1 - x2 ⇒ 3 - 0 / 1 - - 2 ⇒ 3 / 3 ⇒ 1

This means we have a slope value of 1.

Now, to find an equation. We will find the equation in slope intercept form, or y = mx + b. (In this case, m = the slope and b = the y-intercept, and x and y equal your x and y values fro a given point.)

To get the equation, we need to find the value of b, or the y intercept. To do this, we need to plug in the values we know into the equation.

we know m is the slope, and we know the slope is one so we can place that into the equation. We also know the points (0,-2) (3,1). We can place one of them into the equation for the values x and y.

1 = 1(3) + b

Now, simplify.

1 = 1(3) + b

1 = 3 + b

-2 = b

So, our y intercept is -2, we can plug that into the equation, making our final equation y = x - 2. We don't need to put y = 1x for the slope since multiplying something by 1 is doesn't change the number.

I hope this helps! I know my explanation might have been kind of confusing so if you need more help let me know in the comments !

Answer:

y = x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (3, 1)

m = [tex]\frac{1+2}{3-0}[/tex] = [tex]\frac{3}{3}[/tex] = 1

Note the line crosses the y- axis at (0, - 2) ⇒ c = - 2

y = x - 2 ← equation of line

Final answer:

Car Manufacturer B does not have the lowest fuel economy rate in the fleet, making this statement false.

Explanation:

Car Manufacturer A:

The median fuel economy rate of Car Manufacturer A is about 7 MPG higher than Car Manufacturer B.

Car Manufacturer A's fleet has a larger range of fuel economy rates than Car Manufacturer B's fleet.

Car Manufacturer B:

The range of the middle half of the rates for both manufacturers is about the same.

One of the vehicles in Car Manufacturer B's fleet has the lowest fuel economy rate of either manufacturer.

From the given box-and-whisker plots, it can be observed that the statement 'One of the vehicles in Car Manufacturer B's fleet has the lowest fuel economy rate of either manufacturer' is not true.

Answer:

168.6 in

Step-by-step explanation:

Use the formula for circumfrence

[tex]2\pi \: r[/tex]

Plug in 26.85 as the radius and solve. Remember to use 3.14 instead of the pi key.

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

x < -1

The solution is the interval ----> (-∞,-1)

All real numbers less than -1

On a number line the solution is the shaded area at the left of x=-1 (open circle)

using a graphing tool

see the attached figure

Answer:

Step-by-step explanation:

Trying to help everyone!

Answer:

It is open if it is greater or less than >

It is closed if it is greater than or equal to  or    less than or equal to > (but with the line underneath it)

Step-by-step explanation:

Answer:

look at the point if it is closed it will look like a dot(10) if not it will look like an empty circle (11)

Step-by-step explanation:

x is greater than or equal to -2

x is less than -2

ANSWER

[tex]g(x) = 9 {x}^{2} [/tex]

EXPLANATION

The given function is:

[tex]f(x) = {x}^{2} [/tex]

The function g(x) is a vertical compression of f(x).

This implies that:

[tex]g(x)=a\bullet f(x)[/tex]

[tex]g(x)=a\bullet {x}^{2} [/tex]

The function g(x) goes through (1,9).

[tex]g(1)=9[/tex]

[tex]a\bullet {(1)}^{2} = 9[/tex]

[tex]a = 9[/tex]

Hence the function is:

[tex]g(x) = 9 {x}^{2} [/tex]

This can be rewritten as:

[tex]g(x) = {(3x)}^{2} [/tex]

The correct choice is A.

Answer: g(x)=(3x)^2

Step by step:Ape

Answer:

.446153846

Step-by-step explanation:

Well, 29/5 is 5.8. We have to divide 5.8 by 13 since tehre are 13 beads.

Answer:

Mia bought some tomato plants for $9.98  and some potting soil for $6.89.  

Round each amount to the nearest dollar.  

About how much change did Mia get from $20.00?  

A. about $1

B. about $5

C. about $17

D. about $3

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

$9.98 =$10

$6.89 = $7

10 + 7 =17

20 - 17 = 3

your answer would be d.

Answer:

2x^2

Hope This Helps!   Have A Nice Day!!

Answer:

alternate angles

Step-by-step explanation:

the picture shows that there is a the Transversal (When two lines are crossed by another line)

on the inner side of each of those two lines are called Alternate Interior Angles

the definition of alternate angles is if the original two lines are parallel, the alternate angles are equal.

This is a problem of permutations. In this case, with 15 diamond pendants and selecting 4 at a time, there are 32,760 ways to select and arrange these pendants.

This question is about permutations of a set of objects. A permutation is an arrangement of objects in a specific order. The number of permutations of n distinct objects taken r at a time, denoted by P(n, r), can be calculated as: n! / (n-r)! where the '!' symbol represents a factorial, the product of all positive integers less than or equal to the number.

In this case, the jeweler has 15 diamond pendants (n=15) and is selecting and arranging 4 of them (r=4). We can plug these values into the formula to find the number of ways: P(15, 4) = 15! / (15-4)! = 32,760. So, there are 32,760 ways to select and display the 4 pendants.

https://brainly.com/question/23283166

#SPJ12

Final answer:

The answer explains the graph of y=x+1.5, a direct relationship with a positive slope, and the graphical representation of the dependence of y on x.

Explanation:

Mathematics: The graph represents the rule y=x+1.5, showing a straight line with a positive slope where the y-intercept is 1.5. As x-values increase, the line gradually rises on the graph.

Direct Relationship: The line's slope remains the same, indicating a direct relationship between x and y.

Slope and Graphical Representation: By connecting points like (1,5), (2,10), (3,7), and (4,14), the dependence of y on x can be graphically illustrated.

Answer:

The expression is (40 − 2x)(32 − 2x)x ⇒ answe A

Step-by-step explanation:

* Lets study the information of the problem

- The rectangular piece of cardboard has dimensions 40 inches

  and 32 inches

- A square of side length x is cutting from each corner

- That means we cut x from each sides of length and width,

 x from left corner and x from right corner

∴ The new length = 40 - x - x = 40 -2x

∴ The new width = 32 - x - x = 32 - 2x

* Now when we fold the cardboard to make the box we will stick

 the sides of length x together to make the heights of the box

∴ The height of the box = x

- The volume of the box = area of its base × its height

∵ The length of the base is (40 - 2x)

∵ The width of the base is (32 - 2x)

∴ The area of the base = (40 - 2x)(32 - 2x)

∵ The height of the box is x

∴ The volume of the box = (40 - 2x)(32 - 2x)x

* The expression which represent the volume is (40 − 2x)(32 − 2x)x

- The attached picture will help you to understand