what are the solutions of the inequality? graph and check the solutions.

Answer:

-7/40

Step-by-step explanation:

5/8 - 4/5

~Find common denominators

25/40 - 32/40

~Subtract

-7/40

Best of Luck!

Answer:

y = 60*

x = 30*

Step-by-step explanation:

the bottom angle is the same angle as y and it says 2x meaning that x is 1/2 of y. the full angle across the line is 180* so divide that by 3.

180 / 3 = 60

Answer:

2

Step-by-step explanation:

32 divided by 16 is 2

Answer:

Y:4     X:540

Step-by-step explanation:

Answer: first divide so you make it one and then you multiply hope that helps

Step-by-step explanation: then you can add them to get by one then multiply

Answer:

<1=55°

Step-by-step explanation:

180-125=55

Answer:

See convergence analysis below

Step-by-step explanation:

For the expansion of 1/(1-t) in powers of t, we can recall that an infinite  Geometric series with first term "1" and common ratio "t", in the case that the absolute value of "t" is smaller than 1, can be represented by:

[tex]\Sigma\limits^\infty_0\, t^n=\frac{1}{1-t} \\[/tex]

The condition for such, is that the absolute value of "t" is smaller than "1", which gives us the radius of convergence for this series "1" and the interval of convergence:  - 1 < t < 1

Recall as well that using the geometric sequence  [tex]1 + t + t^2 + t^3 +...[/tex]

The ratio test becomes [tex]\frac{a_{n+1}}{a_n} = t[/tex]

which is the SAME as the common ratio for the geometric sequence, and which in order to converge to the value [tex]\frac{1}{1-t}[/tex]   requires that the absolute valu of the common ration be smaller than "1" rendering the same radius of convergence as discussed above.

Answer:

Step-by-step explanation:

2 and 2/3 i believe

Answer:8/3

Step-by-step explanation:i don't know if you wanted improper or not

plz leave a like

Answer:

D

it is D D D D D D D D D D D D D D D D D D D

Answer:

Perform the binomial multiplication to determine the value of the letters in the table.

A = –3x

B = 14x

C = –21

Which letters from the table represent like terms?

A and B

Answer:

The one above me is 100% correct

Step-by-step explanation:

I just did the assignment and it's correct.

Answer:

A = 192 cm²

Step-by-step explanation:

Given that,

The length of the diagonal of a rectangle is 20 cm.

The difference between its length and its width is 4 cm.

Let the length is l and width is b.

ATQ,

l-b = 4 ...(1)

Let x is the diagonal of the rectangle such that,

[tex]x^2=l^2+b^2[/tex]

or

[tex]20^2=l^2+b^2\\\\l^2+b^2=400[/tex] ....(2)

Now we need to solve equation (1) and (2).

Squaring equation (1) : [tex]l^2+b^2-2lb=16[/tex]

Put equation (2) in above equation.

[tex]400-2lb=16\\\\400-16=2lb\\\\2lb=384\\\\lb=192[/tex]

Since, the area of the rectangle, A = lb

A = 192 cm²

Answer:

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

Step-by-step explanation:

Given

[tex]m = -4[/tex] --- slope

[tex](x_1,y_1) = (4,-9)[/tex] --- point

See attachment for complete question

Required

Determine the line equation

This is calculated as follows:

[tex]y - y_1 = m(x - x_1)[/tex]

Substitute values for m, x1 and y1

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

Simplify the expression on the left-hand side:

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

Answer:

Option B is correct .

Step-by-step explanation:

According to Question , both the graph have same shape . If we look at the the first graph it cuts x - axis at (0 , 2) and ( 0 , -2) . Hence x = 2 and -2 are the zeroes of the equation .

And ,the given function is ,

[tex]\implies f(x) = 4 - x^2 \\\\\implies f(x) = 4-x^2=0 \\\\\implies 2^2-x^2=0\\\\\implies (2-x)(2+x) = 0 \\\\\boxed{\red{\bf \implies x = 2 , (-2) }}[/tex]

• Hence ,we can can see that x = 2 and (-2) are the zeroes of graph.

This implies that if we know the zeroes , we can frame the Equation.

On looking at second parabola , it's clear that cuts x - axis at ( 1, 0 ) and (-1,0). So , 1 and -1 are the zeroes of the quadratic equation . Let the function be g(x) . Here , a and ß are the zeroes.

[tex] \begin{lgathered}\implies g(x) = (x-\alpha)(x-\beta) \\\\\implies g(x) = (1+x)(1-x) \\\\\boxed{\pink{\bf \implies g(x) = 1 - x^2}}\end{lgathered} [/tex]

Hence option B is correct .

Answer:

120

Step-by-step explanation:

5!

=5×4!

=5×4×3×2×1

=120

Step-by-step explanation:

5!

= 5×4×3×2×1

=20×6

=120 is the correct answer

Answer:

15 X w(how many weeks) + 30 = 90 or 15 X 4 + 30 = 90

Step-by-step explanation:

so he needs $90 he has $30 and he gets 15 a week so we are going to say a week will be w so however many weeks (4) so you will need to multiply it by 15 and it will be 60 then you add 30 and you get 90.

Answer: 6/5

Step-by-step explanation:

When finding the reciprocal, we essentially just "flip" or take the inverse of the number we are given. For example, the reciprocal of 1/2 would be 2/1 or 2. The given number multiplied by the reciprocal should always equal 1. If it does, then we know we are correct.

In this case, we are finding the reciprocal of 5/6, so we "flip" the numerator and the denominator to get 6/5.

To check our work, we need to multiply our original number and its reciprocal.

5/6 x 6/5 = 30/30 = 1

Now, we know we are correct, that the reciprocal of 5/6 is 6/5.

Answer:

Step-by-step explanation:

Each hour, Jim does 1/3 of the job if working alone.

Each hour, John does 1/5 of the job if working alone.

Let x = number of hours to do the job if they work together.  So, each hour, they do 1/x of the job when they work together.

We get the equation:  1/3 + 1/5 = 1/x

Multiply the equation by the LCD, 15x:   5x + 3x = 15

                                                                             8x = 15

                                                                               x = 15/8 = 1 7/8 hrs

ANSWER:  (C).  

Answer:

b

Step-by-step explanation:

Answer: 11 years

Step-by-step explanation:

You can use the Rule of 72 which is a way to calculate quickly, the time it will take for an investment to double given its interest rate.

It works by:

= 72 / Interest rate

Rate is compounded quarterly so the periodic rate is:

= 6.56%/4

= 1.64%

Time taken to double = 72/1.64

= 43.9 quarters

In years that is:

= 43.9/4

= 11 years

For an investment to double in value at an interest rate of 6.56% compounded quarterly, the period required is exactly 10.625 years.

The future value of an investment refers to the compounded value of its present cash flows in the future, using a stated interest rate.

The future value can be determined using the future value table or formula.

We can also determine the future value using an online finance calculator, which also enables us to determine the period required to double the present value of the investment at 6.56%.

I/Y (Interest per year) = 6.56%

PMT (Periodic Payment) = 0

FV (Future Value) = $15,000

P/Y (# of periods per year) = 4

C/Y (# of times interest compound per year) = 4

Results:

PV = $7,513.52

Total Interest $7,486.48

N (# of periods) = 42.5 (10.625 years x 4)

The period = 10.625 years (42.5/4)

Thus, for an investment to double in value at an interest rate of 6.56% compounded quarterly, the period required is exactly 10.625 years.

Learn more about determining the required period of an investment at brainly.com/question/20392017

Answer:

54 students.

Step-by-step explanation:

If you have 600 and 9% the nearest rounding point is %10. %10 of 600 is 60, and 1% of 60 is 6, so 60-6=54.

Answer:

59.47

Step-by-step explanation:

a calculator might help

Answer:

The average rate of change for the function over the given integral

[tex]A(x) = \frac{e^{-2} -1}{2}[/tex]

Step-by-step explanation:

Explanation

Average rate of a function:-

We can define the average rate of change of a function from a to b

[tex]A(x) = \frac{f(b)-f(a)}{b-a}[/tex]

Given function f(x) = eˣ

Given interval      x = a = -2   and y = b = 0

f(a) = f(-2) = e⁻²

f(b) = f(0) = e⁰

[tex]A(x) = \frac{e^{-2} -1}{0-(-2)}[/tex]

The average rate of change for the function over the given integral



Answer:

1936 m2

Lot = 60 x 36 = 2160m^2

House = 28 x 8 = 224m^2

Area not covered by the house = 2160^2 - 224^2

= 1936m^2

Hope this helps !!

Answer:

t = 17

s = 46

Step-by-step explanation:

Congruent Triangles

If two triangles are determined to be congruent, their side lengths and angles have the same measure.

We are given the condition that triangles HIJ and DCB are congruent. This implies that sides JH and DB have the same measure, thus:

s = 46

We can also say that sides IJ and CB have the same measure, thus:

t = 17

303.02

Three hundred three=303

Two hundredths= .02

= 303.02

Answer:

The set {49, 17, 4, 18}

Step-by-step explanation:

Notice that the set {49, 17, 4, 18} has a mean of (49+17+4+18)/ 4 = 22, and it is spread from the smallest value (4) in 18 units. This is the largest spread from the mean compared to the other 3 sets whose maximum spreads are: 16, 8,and 8.

Answer:

triangle formula  1/2* base * height

Step-by-step explanation:

1/2*9*7 = 31.5 sq units

Answer:

In the ocean, warmer water expands just like any other matter, and following the principle of density, it rises to the top of the ocean. The cooler water, which is more dense than the warm water, sinks to the bottom and takes up the space left by the rising warm water. The result is a convection current.

Step-by-step explanation:

hope this helps :)

Answer:

because of climat change

Step-by-step explanation: