Solve the inequality

Answer:

Direct Variation:

Inverse Variation:

1. The bank balance is inversely proportional to expenditures.

2. The number of family members (which not work) are inversely proportional to amount of saving.

3.The working days required to complete the work are inversely proportional to number of labors.

4. The velocity of body is inversely proportional to time.

5. The acceleration is inversely proportional to time.

6.  The acceleration of body is inversely proportional to mass of body.

7. The number of student fail in the class is inversely proportional to number of qualify teachers and hardworking.

8. The battery power is inversely proportional to time for which it used.

9. The ability of do work hard is inversely proportional to age of man after youngness to onward.

10.  The number of mistake in work is inversely proportional to practice.

Explanation:

Direct Variation: A relationship where one quantity is a constant multiplied by another quantity is called direct variation.

Inverse Variation: Inverse variation is defiend as the relationship between two variables in which the resultant product is a constant. If a is inversely proportional to b, the form of equation is a = k/b, where k is constant. Inverse variation is known as the opposite of direct variation. If there an increas ein one variable, the other variable decreases in proportion so that the resultant product remains unchanged.

Answer:

Step-by-step explanation:

The direct distance there (without the island in the way) is found using the Pythagorean Theorem

c^2 = a^2 + b^2

a = 8.4

b = 11.5

c = ?

c^2 = 8.4^2 + 11.5^2              Square the length of the legs.

c^2 = 70.56 + 132.25            Combine  

c^2 = 202.81                          Take the square root.

c = 14.24

But the island is there. The distance travelled = 8.4 + 11.5 = 19.9 miles

So the additional distance = 19.9 - 14.24 = 5.66 miles.

[tex]\bold{\huge{\blue{\underline{ Solution }}}}[/tex]

The given figure is composed of two figures triangle and circle. In which triangle is enclosed in the circle.

We know that,

Area of triangle

[tex]\bold{\red{ = }}{\bold{\red{\dfrac{1}{2}}}}{\bold{\red{\times{ Base }}}}{\bold{\red{\times{ height }}}}[/tex]

Here,

Subsitute the required values,

Area of the given triangle

[tex]\sf{ = }{\sf{\dfrac{1}{2}}}{\sf{\times{ 10 }}}{\sf{\times{ 5 }}}[/tex]

[tex]\sf{ = 5 }{\sf{\times{ 5}}}[/tex]

[tex]\bold{ = 25\: units }[/tex]

Thus, The area of triangle is 25 units

We have to find the area of the circle

We know that,

Area of circle

[tex]\bold{\pink{ = }}{\bold{\pink{\pi{r^{2}}}}}[/tex]

Subsitute the required values,

[tex]\sf{ = }{\sf{\pi{(5)^{2}}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{22}{7}}}{\sf{\times{ 25}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{550}{7}}}[/tex]

[tex]\bold{ = 78.57\: units }[/tex]

Thus, The area of circle is 78.57 units

Area of shaded region

= Area of circle - Area of triangle

Subsitute the required values,

[tex]\sf{ = 78.57 - 25 }[/tex]

[tex]\bold{\green { = 53.57 \: units }}[/tex]

Hence, The area of shaded region is 53.57 units.

The area of the shaded figure is 13.375 square units.

The shaded region is a circle with a triangle inside of it removed.

To get the area, we need to get the area of the circle and remove the area of the triangle.

Remember that for a circle of radius R, the area:

A = 3.14*R^2

In this case, we can see that the diameter of the circle measures 5 units, then the radius (half of the diameter) measures 2.5 units.

A = 3.14*(2.5)^2 = 19.625 square units.

And a triangle of base B and height H has an area:

A' = B*H/2

In this case, the base of the triangle is equal to the diameter of the circle, and the height is equal to the radius of the circle, so we have:

B = 5 units.

H = 2.5 units.

Then:

A' =5*2.5/2 = 6.25 square units.

Then the shaded area is:

shaded area =  19.625 square units -  6.25 square units.

                     = 13.375 square units.

If you want to learn more about areas, you can read:

https://brainly.com/question/19819849

Answer:

See below.

Step-by-step explanation:

x^4+5x-3

The expression is odd. x^4 is also equal to 1x^4. 5 is odd, and 3 is odd.

-hope it helps

Answer:

The following function is f(x) = -9x 4 + 5x+3 is neither even nor odd.

Step-by-step explanation:

Because a function is said to be even if f (-x) = f (x). Then a function is said to be odd if f (-x) = -f (x). And there is your answer to those who need help with their math.

Answer:

  4. 11/6, 121/36

  5. 5/8, 25/64

  6. 4/7, 16/49

  7. 14/9, 196/81

Step-by-step explanation:

The ratio of perimeters is the same as the ratio of corresponding legs:

  perimeter ratio = red leg/blue leg

The area ratio is the square of that:

  area ratio = (perimeter ratio)²

__

perimeter ratio = 11/6

area ratio = (11/6)² = 121/36

__

perimeter ratio = 5/8

area ratio = (5/8)² = 25/64

__

perimeter ratio = 4/7

area ratio = (4/7)² = 16/49

__

perimeter ratio = 14/9

area ratio = (14/9)² = 196/81

Answer: the answer is x=38

Step-by-step explanation:

X-18=20 we see that 18 is being SUBTRACTED from the x which means we have to do the opposite of subtraction is addition so 20+18=38

To check: you can plug 38 for x and subtract it from 18

Demonstration: 38-18=20

X = 38

Step-by-step explanation:

X-18 = 20

we move the constants (numbers) to one side and keep the variable, unknown on the other side

X= 20+18 (we change the sign whenever we move something to the opposite side)

x= 38

Answer:

the answer for 1 1/3 is O 4/3

5 2/5 is T  28/5

2 4/5 is D  14/5

Step-by-step explanation:

All you have to do is multiply the whole number by the denominator and then add the numerator and the denominator stays the same.

Like on the second one you would multiply the 5 by the denominator which is also five then add the numerator,1, and that gives you the top number and the bottom one stays the same.

Sorry if I confused you but hope this helps!

You got this

Using the percentage concept, it is found that the percentage of 6- to 11-year-olds who were obese was about 17.76% more than the percentage of two- to five-year-olds who were obese.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

Researching on the internet, we find that:

Hence:

[tex]P = \frac{17.9}{15.2} \times 100\% = 117.76\%[/tex]

117.76% - 100% = 17.76%.

Hence the percentage of 6- to 11-year-olds who were obese was about 17.76% more than the percentage of two- to five-year-olds who were obese.

More can be learned about percentages at https://brainly.com/question/24372153

Answer: I think that the answer is A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

to find the mean is another way of saying to find the average. To do this we add all the listed values(45,52,17,63,57,42,54,58) then divide them by how many values we are given which in this case is 7. so the mean would be 49. now to find the median we must first put the values in numeric order(17,42,45,52,54,57,58,63) then see the number in the middle or in cases or even number of values we find the two values in the middle of the set then we add them together and divide by two. which would be 53. now to find the mode we simply find the most reoccurring number in the set and seeing as there are no repeated values in this set there is no mode.

Answer:

1094

Step-by-step explanation:

Answer:

115.5

Step-by-step explanation:

comparing side lengths of 49 and 28:

49 ÷ 28 = 1.75, so to get from 28 to 49 multiply by 1.75

this is the same thing for side lengths 38.5 and 22 as

22 × 1.75 = 38.5

the scale factor of the first triangle (GHI) to the second triangle (JKL) is 1.75 which means multiply each side of the first triangle by 1.75

so to work out x:

16 × 1.75 = 28

perimeter of JKL (second triangle) - add up lengths of the sides:

28 + 38.5 + 49 = 115.5

Solution:

To classify the system of equations as no solutions, the lines must be parallel (Not intersect).

First, let's identify the equation forming the line.

We also know that the slope of the equation must be -1.5.

A) 2x + 3y = 0

B) 2x + 3y = 6

C) 2x - 3y = 9

D) y = 3x + 2

Option B is correct.

Answer:

I fell like guiding you would be better.
First, help yourself by labelling all vertex's (there should be 5 so a,b,c,d,e).

You know that they are 2 sets of similar triangles cuz there is a 70 degree on in both and a common on

Then all you need to do is set up the proportion.

I can't give you the answer cuz I don't have much time, but I feel like you can figure it out. If this helped you, pls rate it decent, but if not just 1-star it I don’t care

Answer:

[tex]term \: n = 3n + 2 \\ {1}^{st \: } term= \: \: (3 \times 1) + 2 \: just \: apply \: the \: term \: number \: to \: n \\ = 3 + 2 \: \\ \: = 5 \: [/tex]

Answer:

x = ± √11 i

Step-by-step explanation:

x^2 + 5 + 6 = 0

subtract 6 and 5 from both sides

x^2 = -11

find the square root of both sides

x = ± √-11

x = ± √11 √-1

x = ± √11 i

Answer:

392

Step-by-step explanation:

You can multiply

28 • 14

=392

Answer: 25

Step-by-step explanation:

Finding the product of complex numbers is not different to finding the product of real numbers

(-3i+4) * (3i+4) = -9i^2 + 12i - 12i + 16 = 25

Answer:

25

Step-by-step explanation:

An easy way to multiply binomials is the FOIL(first, outer, inner, last) method. Multiply the first terms of each binomial, -3i×3i=-9i^2. Then do the outer terms, -3i×4=-12i. Then do the inner terms 4×3i=12i. Then do the last terms, 4×4=16. Lastly combine like terms, the -12i and 12 cancel out, and you're left with -9i^2+16. i^2=1, so then you get -9(-1)+16. -9×-1=9. 9+16=25

Answer:

Center: (2/3, 0) Radius: 6

Step-by-step explanation:

I used desmos(.com) to graph the equation.

Answer:

the answer for your question is 80pi

Answer:

5% of 20 is 1

Answer:

I think its young men

Answer:

Step-by-step explanation:

m=26 when u as u go as down as {{6-2} -13

Answer:

2

Step-by-step explanation:

By definition, the slope or gradient of a line describes its steepness, incline, or grade.

m = y2 - y1 / x2 - x1

Where

m — slope

If the 2 Points are Known:

Slope (m) = ΔY/ΔX

= 7-(-1) / 3-(-1)

= 8/4

= 2/1

= 2

θ = arctan (ΔY/ΔX)

= tan¯¹(8/4)

= 63.434948822922°

ΔX = 3 – (-1) = 4

ΔY = 7 – (-1) = 8

Distance (d) = √ΔX2 + ΔY2 = √80

= 8.9442719099992

Equation of the line:

y = 2x + 1

When x=0, y = 1

When y=0, x = -0.5

I think 100 grams per box

Answer:

  cos(45°) = (√2)/2

Step-by-step explanation:

The cosine of 45° is the x-coordinate of the point on the unit circle where the line y=x intersects it. That is, it is the positive solution to the equation ...

  x^2 +x^2 = 1

  x^2 = 1/2 = 2/4 . . . . . collect terms, divide by 2, express the fraction with a square denominator

  x = √(2/4) . . . . . . take the square root

  x = (√2)/2 . . . . . simplify

The cosine of 45° is (√2)/2.