What is the solution to StartFraction 5 over 6 EndFraction x minus one-third greater-than 1 and one-third? x > StartFraction 25 over 18 EndFraction x < StartFraction 25 over 18 EndFraction x > 2 x < 2

Answer:

hmmmmmmmmmmmmmmmmm

Step-by-step explanation:

egfrggggggdfgd

djdgg

gfhdst

Answer:

D) y=-5

Step-by-step explanation:

..............

Answer: B) The heights of girls who live on a certain street in the city of Buffalo

Every answer choice starts with "the heights of all 14-year-old girls who", so we can ignore that part. Choice A describes the largest population while choice B describes the smallest population. In other words, choice A is very general and broad, while choice B is very specific and narrow. The more specific you get and the smaller the population is, the less likely its going to be normally distributed.

Answer:

4 trucks

Step-by-step explanation:

Here, we are told that 5 trucks carry a load of 20 m^3 each

This means that the total amount of load is 5 * 20 = 100 m^3

Now, we are having this load carried by a number of trucks with each carrying 25 m^3

The number of trucks that would carry the load would be 100 m^3/25 m^3 = 4

Answer:

4 k^4

Step-by-step explanation:

(64 k^12) ^ 1/3

We know (ab)^c = a^c * b^c

64 ^ 1/3   k^12^1/3

4 * k^12^1/3

We know a^b^c = a^(b*c)

4 k^(12*1/3)

4 k^4

Answer:

-5x^2-5x=+1

Step-by-step explanation:

Answer:

Perimeter of the cross section = (10+4√5)inches = 18.9in

Area of the cross section= = 10√5 in²

Step-by-step explanation:

Find attached the diagrams used in solving the question

Dimensions of granite = 4in by 2in

Length = 4in

Breadth = 2in

Height = 5in

When granite is cut lengthwise along it's diagonal, the cross section formed by the cut will be a rectangle.

Perimeter of the cross section = 2(height+breadth)

Breadth = diagonal of the cross section

The diagonal of a rectangle divides the rectangle into two right angled triangles.

We would apply Pythagoras theorem to find the length of the diagonal

Hypotenuse ² = opposite ²+adjacent ²

Hypotenuse = length of diagonal

Hypotenuse ² = 2² + 4²

Hypotenuse ² = 4+16 = 20

Hypotenuse = √20 = 2√5

Perimeter of the cross section = 2(height+breadth) =2(5+2√5)

Perimeter of the rectangle = 10+4√5 inches = 18.9in

Area of the cross section= diagonal × height

Area of the cross section= 2√5 × 5

Area of the cross section= = 10√5 in²

Answer:

x = 3

Step-by-step explanation:

log(4x - 10)32 is not properly formed; it's also ambiguous.

If you mean to say that (4x - 10) is the base, then you have to do the rather awkward typing shown below:

log               32     =      5

      (4x - 10)                                         (where (4x - 10) is assumed to

                                                             be the base)

                      log                32

                             (4x - 10)      

Then (4x - 10)                                 = (4x - 10)^5

or                                            32 = (4x - 10)^5, or

                                               2^5 = (4x - 10)^5

which tellus us that 2 = 4x - 10, or     4x = 12, or x = 3

Answer: D

Step-by-step explanation:

The equation would be (x+2)^2 + (y-3)^2 = 4 if I did it right. (Sorry if it’s wrong!)

Answer = D :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

area of side triangles=2(1/2×6×4)=24 units²

area of 3 rectangles=6×7+2(5×7)==42+70=112 units²

or=(6+5+5)×7=16×7=112 units²

Total surface area=24+112=136 units²

Answer:

The answers are in the pictures

Step-by-step explanation:

I can't type all of them 'cause it's much

Answer:

1. a. x= 18°

sum of interior angles is = 180°, so, to get x, = 2.5x + 4.5x + 3x = 180°

2.5x = 45

4.5x = 81

3x = 54

2. a. x = 75°

x - 10 = 65

x-35 = 40

x = 75

use the concept in number one.

3. a. x = 25

the  two opposite interior angles add up to the exterior angle . so,

4x + 55 = x + 130

like terms together then simplify to get x as 25

so 4x = 100°

x + 130 = 155°

4. ∠2 = 180 - (38+34) = 108°

∠5 = 180 - (38+74) = 68°

∠6 = 74 + 38 = 112°

hope you understand now.

Answer:

The TV has a length of 61.01" and a height of 34.32"

Step-by-step explanation:

The size of a TV is given by the length of it's diagonal, in this case the diagonal of the TV is 70". The ratio of the screen is 16:9, which means that for every 16 units on the length of the tv there are 9 inches on its height. The diagonal of the screen forms a right angle with the length and the width, therefore we can apply Pythagora's theorem as shown below:

[tex]diagonal^2 = height^2 + length^2\\\\height^2 + length^2 = (70)^2\\\\height^2 + length^2 = 4900[/tex]

Since the ratio is 16:9, we have:

[tex]9*length = 16*height[/tex]

[tex]length = \frac{16}{9}*height[/tex]

Applying this on the first equation, we have:

[tex]height^2 + (\frac{16}{9}*height)^2 = 4900\\\\height^2 + \frac{256}{81}*height^2 = 4900\\\\\frac{337}{81}*height^2 = 4900\\\\height^2 = \frac{4900*81}{337}\\\\height^2 = \frac{396900}{337}\\\\height^2 = 1177.744\\\\height = \sqrt{1177.744}\\\\height = 34.32[/tex]

[tex]length = \frac{16}{9}*34.32\\\\length = 61.01[/tex]

The TV has a length of 61.01" and a height of 34.32"

Answer:

(a)19.6 meters

(b) 1 seconds

(c)30.625 meters

Step-by-step explanation:

The height of the balloon is modeled by the equation:

[tex]h = -4.9t^2- 14.7t + 19.6[/tex]

(a)Since the balloon is thrown from the top of the house,  the height of the house is at t=0

When t=0

[tex]h(0) = -4.9(0)^2- 14.7(0) + 19.6\\h=19.6$ meters[/tex]

The height of the house is 19.6 meters.

(b)When the balloon hits the ground

Its height, h(t)=0

Therefore, we solve h(t)=0 for values of t.

[tex]h = -4.9t^2- 14.7t + 19.6=0[/tex]

[tex]-49t^2-147t+196=0\\-49(t^2+3t-4)=0\\t^2+4t-t-4=0\\t(t+4)-1(t+4)=0\\(t+4)(t-1)=0\\t+4=0$ or $t-1=0\\t=-4$ or t=1[/tex]

Therefore, the ball hits the ground after 1 seconds.

(c)To determine the maximum height, we take the derivative of the function and solve it for its critical point.

[tex]If$ h = -4.9t^2- 14.7t + 19.6\\h'(t)=-9.8t-14.7\\$Setting the derivative equal to zero$\\-9.8t-14.7=0\\-9.8t=14.7\\t=-1.5\\$Therefore, the maximum height, h(t) is:\\h(1.5) = -4.9(-1.5)^2- 14.7(-1.5) + 19.6\\=30.625$ meters[/tex]

Answer:

Average is 82

Step-by-step explanation:

88 + 73 + 81 + 83 + 79 + 73 + 97 = 574

Count of numbers = 7

574/7 = 82

Answer:

-4/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Statement A is closest to being correct.  To get the graph of g(x), we compress the graph of f(x) vertically due to multiplying f(x) by (1/4).

Answer:

C. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 4.

Step-by-step explanation:

a p e x

Answer:

72.5%

Step-by-step explanation:

To express a value as a %:

value/whole x 100 = 29 / 40 x 100

This gives you 72.5%

Hope this helps

Yes!

This does represent a function because all numbers in this table are real numbers.

Integers and whole numbers are apart of real numbers.

Therefore you do not have to state why this is not a function because it certainly is!

Answer:

9

3 x 3 = 9

9 x 3 = 27

Hope this helps

Step-by-step explanation:

Answer:

9 is the second term

Step-by-step explanation:

Answer:

The answer is option D

Step-by-step explanation:

Just got it right on edge :)

Answer:

d

Step-by-step explanation:

The required explicit formula for the sequence is [tex]a_n = 9+(n+1)(-3)[/tex]. Option B is correct.

Given, an arithmetic sequance is given in the form of [tex]\left \{ {{a_1=9} \atop {a_n =a_{n-1}-3} \right.[/tex] .
Explicit formula for the sequence is to be determined.

Arithmetic progression is the sequence of numbers that have common differences between adjacent values.
Example,  1, 2, 3, 4, 5, 6. this sequence as n = 6 number with a = 1 (1st term)  and common differene d = 2- 1 = 1.

Given arithmetic sequance is in the form of [tex]\left \{ {{a_1=9} \atop {a_n =a_{n-1}-3} \right.[/tex]
From above expression
[tex]a_n-a_{n-1}= -3[/tex]
common difference (d) = -3
with d = -3 and [tex]a_1 = 9[/tex]
The equation for the nth term in an arithmetic sequence is given by
[tex]a_n =a +(n-1)d[/tex]
[tex]a_n = 9 +(n-1)(-3)[/tex]
The above expression is the explicit form of the arithmetic equation.

Thus, the required explicit formula for the sequence is [tex]a_n = 9+(n+1)(-3)[/tex]. Option B is correct.

Learn more about arithmetic progression here:
https://brainly.com/question/20334860
#SPJ5

Answer:

center (6,-4)

radius = √7 unit

Step-by-step explanation:

Mathematically, the equation of a circle can be written as follows;

(x-a)^2 + (y-b)^2 = r^2

Where (a,b) represents the center of the circle with r representing the radius of the circle.

Now looking at the values in the question, we can clearly see that a = 6, while b represents -4.

The radius of the circle is √7

So the circle center is (6,-4) while √7 is the circle center

Answer:

For purple;

P(p) = 337/848 = 0.40

For white;

P(w) = 511/848 = 0.60

Step-by-step explanation:

Given;

Number of plants with purple flowers P = 337

Number of plants with white flowers W = 511

Total T = 337 + 511 = 848

For purple;

the empirical Probability that a plant had purple flowers P(p) is

P(p) = Number of plants with purple flowers/total number of plants

P(p) = P/T

Substituting the values, we have;

P(p) = 337/848 = 0.40

For white;

the empirical Probability that a plant had white flowers P(w) is

P(w) = Number of plants with white flowers/total number of plants

P(w) = W/T

Substituting the values, we have;

P(w) = 511/848 = 0.60

Answer:

Jason started scuba diving 5 meters below sea level and is descending at a rate of 2.5  meters per second.

Step-by-step explanation:

Jason is scuba diving at a constant rate toward the ocean floor.

Equation: [tex]y= -2.5x- 5[/tex]

x = The number of seconds Jason has been swimming.

y=The depth of Jason in meters  below sea level

General equation : y=mx+c

m = Slope = rate of change per unit

On comparing m = -2.5

Negative signs represents the descending .

So, rate of descending per second = 2.5 m/sec

-5 denotes the initial position below sea level

So, Option D is true

So, Jason started scuba diving 5 meters below sea level and is descending at a rate of 2.5  meters per second.

Answer:

33

Step-by-step explanation:

2x3x2=12 396/12=33

Answer:

(1.142857143 , -8)

Step-by-step explanation:

Answer:

Car M:

50.4/2 = 25.2

car M uses up 1 gallon every 25.2 miles

Car P:

Just from the graph, you can see that it uses up 1 gallon every 30 miles

The two graphs vary the /miles slightly but it is around their zones of 25.2 and 30. It varies slightly because the cars may be traveling at a fast speed or slower speed thus using up more or less fuel by the time they've reached the recorded distances on the graphs.

Answer:

Stairs, escalators, elevators, ramps...

Step-by-step explanation:

If ladders are difficult to use for high floors another very common options are stairs. you see them pretty much everywhere. Escalators and elevators are also used, elevators more often that escalators.

I don't know how to make it sound "mathy" but..

Ladders are super straight and so for high floors, the slope of the ladder will be too steep for anyone to climb without gravity interfering.

The level of safety with stairs is higher because instead of going straight up, The steps provide a flat surface for someone to stand on while climbing the stairs and there is a much more stable foundation. Stairs can have protection like a guard rail and even go in a spiral motion upwards because they are more stable and safe. It is still possible to fall if one is not careful because of pesky gravity.

Escalators are pretty much moving stairs and the level of safety is greater because of the strong foundation and flat surface to stand on. Of course falling can happen, lowering the safety, but this is not likely because of the slowly enough moving steps. There is a rail as well and as long as people are careful, there aren't usually any casualties.

Elevators take up way less space than stairs and escalators because they can go straight up and down. The level of safety is fairly high because an elevator is a pulley system and people don't involve all that much moving around. Just go in the mechanical box, the doors close for safety, click a button, and then go up or down.

I don't know how to incorporate mathematical facts into this question because this is literally logic not math in my opinion. Honestly, ladders aren't even used that much, I don't think, except for building and house work.

I hope this helps you with whatever you are doing!

<3

Step-by-step explanation:

3*85 <= 83+91+x <= 3*90  

255 <= 174+x <= 270  

81 <= x <= 96

Answer:

81 ≤ x ≤ 96

Step-by-step explanation:

85 ≤ (x + 83 + 91)/3 ≤ 90

85 ≤ (174 + x)/3, (174 + x)/3 ≤ 90

81 ≤ x ≤ 96