question 137 I hate mi life...

Answer: 1 hour

Step-by-step explanation:

Let distance1 = x km

Distance2 = 144 - x

Speed S1 = 63 kph

Speed S2 = 81 kph

Time = Distance / Speed

When the jets pass each other

(144-x) / 81 = x/63

63(144-x) = 81x

9072 - 63x = 81x

x = 9072 / 144

x = 63 km

Time = 63/63 = 1 hour

Answer:

1 hr

Step-by-step explanation:

Answer: $106,700

Step-by-step explanation:

y = money amount

x = months

Slope (m) = change in y / change in x = (68000-25000) /(23-3)= 43,000/20= 2,150

Now, we have to write the equation in the form y =mx+b, using one of the points:

25000= 2,150(3) +b

25,000= 6,450+b

25,000-6,450=b

18,550=b

So, the final equation is:

y = 2,150x+18,550

So, when x=41 months

y = 2,150(41)+18,550

y= $106,700

Feel free to ask for more if needed or if you did not understand something.

Answer:

Ishaan is 15 years old.

Solution,

Let the age of Ben be X and ishaan be y.

Now,

X=4y

Six years ago,

[tex]x - 6 = 6(y - 6) \\ or \: x - 6 = 6y - 36 \\ or \: x - 6y = - 36 + 6 \\ or \: x - 6y = - 30[/tex]

Put the value of X

i.e X=4y

[tex]or \: 4y - 6y = - 30 \\ or \: - 2y = - 30 \\ or \: y = \frac{ - 30}{ - 2} \\ y = 15[/tex]

hope this helps..

Good luck on your assignment....

Start by setting up a chart based on age now

and age 6 years ago for Ben and Ishaan.

Since Ben is 4 times as old as Ishaan, use x to represent

Ishaan's age now and 4x to represent Ben's age now.

Ishaan's age 6 years ago would then be x - 6 and Ben's

age 6 years ago would be 4x - 6.

Now that your chart is filled out, read through the

second sentence of the problem to setup the equation.

Since the second sentence starts with 6 years ago,

we're going to be using the information in the

second column of our chart to setup the equation.

So 13 years ago, Ben, 4x - 6, was, equals,

6 times as old as Ishaan, 6(x - 6).

So we have the equation 4x - 6 = 6(x - 6).

Solving from here, we find that x = 15.

Steps are attache din the image provided.

Going back up to the chart, x represents Ishaan's age now.

So Ishaan is 15 years old now.

Answer:

[tex]K' = (\frac{1}{4} ,0)[/tex]

[tex]L' = (\frac{1}{4} ,1)[/tex]

[tex]M' = (\frac{5}{4} ,1)[/tex]

[tex]N' = (\frac{5}{4} ,0)[/tex]

Step-by-step explanation:

Given

K(1,0)

L(1,4)

M(5,4)

N(5,0)

Scale Factor = 1/4

Dilation with center (0,0)

Required

New coordinates of the quadrilateral

To get the new coordinates, we simply multiply the scale factor with each coordinate;

This is done as follows;

[tex]If\ K =(1,0),\ then;[/tex]

[tex]K' = \frac{1}{4} * (1,0)[/tex]

[tex]K' = (\frac{1}{4} * 1,\frac{1}{4}*0)[/tex]

[tex]K' = (\frac{1}{4} ,0)[/tex]

[tex]If\ L =(1,4),\ then[/tex]

[tex]L' = \frac{1}{4} * (1,4)[/tex]

[tex]L' = (\frac{1}{4} * 1,\frac{1}{4}*4)[/tex]

[tex]L' = (\frac{1}{4} ,1)[/tex]

[tex]If\ M =(5,4),\ then[/tex]

[tex]M' = \frac{1}{4} * (5,4)[/tex]

[tex]M' = (\frac{1}{4} * 5,\frac{1}{4}*4)[/tex]

[tex]M' = (\frac{5}{4} ,1)[/tex]

[tex]If\ N =(5,0),\ then[/tex]

[tex]N' = \frac{1}{4} * (5,0)[/tex]

[tex]N' = (\frac{1}{4} * 5,\frac{1}{4}*0)[/tex]

[tex]N' = (\frac{5}{4} ,0)[/tex]

Hence, the coordinates of the dilated figure are:

[tex]K' = (\frac{1}{4} ,0)[/tex]

[tex]L' = (\frac{1}{4} ,1)[/tex]

[tex]M' = (\frac{5}{4} ,1)[/tex]

[tex]N' = (\frac{5}{4} ,0)[/tex]

Answer:

Density of steel = 80.73 gm/[tex]cm^3[/tex]

Step-by-step explanation:

The figure is made up of cuboid and square pyramid.

Height of cuboid, h = 9 cm

Length of cuboid, l = 6 cm

Width of cuboid, w = 6 cm

Volume of cuboid is given by the formula:

[tex]V_{Cuboid} = l \times w \times h[/tex]

[tex]V_{Cuboid} = 6 \times 6 \times 9\\\Rightarrow V_{Cuboid} = 324\ cm^3[/tex]

Density of Wood , [tex]D_{Cuboid}[/tex]= 0.68g/[tex]cm^3[/tex]

We know that formula of Density is:

[tex]Density = \dfrac{Weight}{Volume}[/tex]

[tex]D_{Cuboid} = \dfrac{W_{Cuboid}}{V_{Cuboid}}\\\Rightarrow W_{Cuboid} = V_{Cuboid} \times D_{Cuboid}[/tex]

Putting the values:

[tex]W_{Cuboid} = 324 \times 0.68 = 220.32\ gm[/tex]

Total weight = [tex]W_{Cuboid} + W_{Pyramid}[/tex]

970 = 220.32 [tex]+ W_{Pyramid}[/tex]

[tex]W_{Pyramid}[/tex] = 749.68 gm

Volume of pyramid is given as:

[tex]V_{Pyramid}= \dfrac{1}{3} \times \text{Area of Base} \times \text{Vertical Height}[/tex]

Base is a square with side 6 cm

[tex]V_{Pyramid}= \dfrac{1}{3} \times 6 \times 6 \times (17 -9)\\V_{Pyramid}= 96\ cm^3[/tex]

Density of Steel/Pyramid:

[tex]D_{Pyramid} = \dfrac{W_{Pyramid}}{V_{Pyramid}}\\\Rightarrow D_{Pyramid} = \dfrac{749.68}{96}\\\Rightarrow D_{Pyramid} = 80.73\ gm/cm^3[/tex]

Answer:

Option A.

Step-by-step explanation:

The general form of a quadratic function is  

[tex]y=ax^2+bx+c[/tex]

It means, power of y should be 1 and highest power of x should be 2.

In option A,

[tex]y-3x^2=3(x^2+5)+1[/tex]

[tex]y-3x^2=3x^2+15+1[/tex]

[tex]y=3x^2+16+3x^2[/tex]

[tex]y=6x^2+16[/tex]

It is a quadratic function.

In option B,

[tex]y^2-7x=2(x^2+6)+7[/tex]

Here, power of y is 2. So, it is not be a quadratic function.

In option C,

[tex]y-2x^2=6(x^3+5)[/tex]

Here, highest power of x is 3. So, it is not be a quadratic function.

In option D,

[tex]y-5x=4(x+5)+9[/tex]

Here, highest power of x is 1. So, it is not be a quadratic function.

Therefore, the correct option is A.

Answer:

It is A

Step-by-step explanation: I took the test on edge 2020

Answer:

directrix

Step-by-step explanation:

The parabola is equidistant from the line called the directrix

and from a point called the focus

Answer:

The answer is B.

Answer:

y = -2 x +3

Step-by-step explanation:

If the slope must be "-2", then the slope intercept form of the line should look like;

y = m x + b

with the slope "m" = -2

That is:

y = -2 x + b

Now the constant "b" can be found using the info on the value of the y-intercept which is (0, 3), so when x = 0, the value of the y-coordinate must be 3. By imposing this condition into the equation, we can find the value of "b":

3 = -2 (0) + b

3 = b

Then the equation becomes:

y = -2 x +3

Answer:

I think it is greater because when you put the y alone it has the value of 1.

So, 9-y it will always be greater. It can be double and triple as well. I hope this helps you.

Step-by-step explanation:

Answer:

Bobs Data: range from 2 to 8

Rosa Data range from 4 to 7

Step-by-step explanation:

Answer:

so 23.5+24.3+33.8=81.6

Step-by-step explanation:

81.6

Answer:

Step-by-step explanation:

3y+2x=30

3y = 30-2x

y=30/3 - 2/3x

y=10-2/3x

now plug in the options

1) 0,10 and 15,0

y=10-2/3*0 where x is 0 and thus y equals y=10-0 --> y =10

For (15,0), y=10-2/3*15 which becomes y=0 so the (15,0) pair works

Which mean line joining 0,10 and 15,0 fits the equation. Now since we want to stay below the $30, area below it is what will get them to stay within budget

Answer:

v < 33

Step-by-step explanation:

If v has to be less than 33, then writing the inequality < (not less than or equal to: ≤), is the best way to go.

Can you delete mine please thx

Answer:

7.5cm

Step-by-step explanation:

0.25 cm=10ft

x30.        x30

7.5 cm=300ft

Hpoe this helps! :) :)

Answer:

c. (3, [tex]\frac{7\pi }{6}[/tex] )

Step-by-step explanation:

In order to do this, you must solve using the answer choices, not by solving it yourself. This is because you can generate many answers from the graph itself so it is best to look for which answer choices you can eliminate. In this answer choice, there are no negatives, therefore, you don't have to convert by reflecting across the pole or polar axis, making this question easy. Polar coordinates are represented as so: (r, θ) with r representing the radius and theta representing the angle. The distance of z from the middle point is 3 units, so the radius is 3. If you look at the unit circle, [tex]\frac{7\pi }{6}[/tex] resides in the same quadrant where z is at the moment, so you don't have to do any converting there. Therefore, this is your answer.

Answer:

The weather at 5 pm is -7 degrees Celsius. Every hour, the temperature drops 8 degrees. How much time has gone by when the temperature is -47 degrees?

Step-by-step explanation:

The equation can be rearranged to get:

-7-8f=-47

Example: The weather at 5 pm is -7 degrees Celsius. Every hour, the temperature drops 8 degrees. How much time has gone by when the temperature is -47 degrees?

Answer:

Step-by-step explanation: negative eight f minus seven equals negative fourty-seven .  answer: 5

Answer:

[tex]1.\ 12\ feet = 4\ yards[/tex]

[tex]2.\ 4\ miles = 21120\ feet[/tex]

Step-by-step explanation:

Given

12 feet = _____ yard

4 miles = ____ feet

To start with;

we need to understand the unit of conversion between the two measurements;

1. 12 feet = _____ yard

To convert from feet to yard;

[tex]1\ foot = \frac{1}{3} yard[/tex]

This implies that;

[tex]12\ feet = 12 * \frac{1}{3} yard[/tex]

[tex]12\ feet = \frac{12}{3} yard[/tex]

[tex]12\ feet = 4\ yards[/tex]

2. 4 miles = ____ feet

To convert from miles to feet;

[tex]1\ mile = 5280\ feet[/tex]

This implies that;

[tex]4\ miles = 4 * 5280 feet[/tex]

[tex]4\ miles = 21120\ feet[/tex]

Answer:

[tex]CosB = \frac{48}{80}[/tex]

Step-by-step explanation:

Given

AB = 48, AC = 64, and BC = 80

Required

Determine the ratio of cosB

The first step is to determine, which type of triangle it is.

Checking for Right Angled Triangle

For a triangle to be a right angled triangle, the square of the largest side must be equal to the sum of squares of other sides

This implies that:

[tex]80^2 = 48^2 + 64^2[/tex]

[tex]6400 = 2304 + 4096[/tex]

[tex]6400 = 6400[/tex]

Hence, the triangle is a right angled triangle [See attachment]

From trigonometry;

[tex]CosB = \frac{Adjacent}{Hypotenuse}[/tex]

The adjacent of B = 48 while the hypotenuse is 80;

Hence;

[tex]CosB = \frac{48}{80}[/tex]

Hence, the ratio of cos B is [tex]CosB = \frac{48}{80}[/tex]

a,e

Step-by-step explanation:

correct on e2020

Answer:

(40, 20)

Step-by-step explanation:

first substitute 2x for y in y = x + 20: 2x = x + 20

flip the equation: x + 20 = 2x

subtract 20 from both sides: x + 20 - 20 = 2x - 20

simplify: x = 2x - 20

subtract 2x from both sides: x - 2x = 2x - 2x - 20

simplify: -x = -20

divide both sides by -1: -x/-1 = -20/-1

simplify: x = 20

substitute 20 for x in y = 2x or y = x + 20: y = 20 * 2 or y = 20 + 20

x = 20 y = 40

(40, 20)

Answer:

(20,40)

Step-by-step explanation:

First one: y=2x

y=40

x=20

40=2(20)

40=40 true

Second one:  y=x+20

y=40

x=20

40=20+20

40=40 true

therefore the answer is (20,40)

Answer:

First find f(g(x))

= 2(x²)-3

= 2x² -3

f(g(3)) = 2(3)² -3

= 2(9) - 3

= 18 - 3

= 15

Hope this helps.

Answer:

f(x)=6 and g(x)=6

Step-by-step explanation:

This is going to look crazy but try to follow along. I did a similar equation and got the answer correct.

1. find g(x)

2. x=3*  

3.   g(3)=3·2

4. x=6

Wherever there is an x put the number 3.....ONLY for g(x)

* ONLY in g(x)

4. Solve for f(x)

Since the equation for f(x) is f(g(3)) and the answer in g(x) was 6 wherever there is an x in the equation f(x)=2x-3 put the number 6

5. f(6)=2·6-3

6.f(x)=2·3

7.f(x)=6

Answer: 8 more girl toys than boy toys

Step-by-step explanation:

First you need to find out how many of the toys are for boys and girls.

———————————————

80 * 40 = 80 * 0.4 = 32

32 toys are for boys

———————————————

80 - 32 = 48

48 toys are for girls

———————————————

Now find 50% of the boy and girl toys.

32 * 50% = 32 * 0.5 = 16

48 * 50% = 48 * 0.5 = 24

———————————————

Now subtract the number of girl toys by the number of boy toys to find out how many more were made for girls than boys.

24 - 16 = 8

Answer:

Lower Quartile = 132

Step-by-step explanation:

Arranging it in ascending Order:

112, 130, 132, 140, 149, 151, 163, 172, 185, 190, 200

Lower quartile = [tex](N+1)^{th} Term \frac{1}{4}[/tex]

Where N = 11

Lower Quartile = [tex]\frac{1}{4} (12)^{th} Term[/tex]

Lower Quartile = 3rd Term

So,

Lower Quartile = 132

Answer: 132

Step-by-step explanation:

Answer:

A, C, and D

Step-by-step explanation:

By substituting the values of each of the points into the inequality, you can determine that A, C, and D are the correct answers.

Answer:

1.777777778

Step-by-step explanation:

hope that helps!

Answer:

16/9 or 1 2/9

Step-by-step explanation:

the fraction bar means divison

Answer:

2^12

Step-by-step explanation:

16^3 = (2^4)^3 = 2^(4x3) = 2^12

Hope this helps!

Answer:

2¹²

Step-by-step explanation:

= 16³

We'll divide 16 into the product of its prime factors

= ( 2×2×2×2)³

There are four 2s so it becomes 2⁴

= (2⁴)³

= 2⁴ˣ³

= 2¹²

Answer:

C

Step-by-step explanation:

V=lwh

4 times x times x

4 x^2