Solve the following inequalities, if it is known that the function g is decreasing on its domain. g(5-x^2)≤g(3x-5), Dg=(-∞,4)

Step-by-step explanation:

a) 24.7×52.3=1291.81

On rounding off to 3 significant digits we get

1290

b)

[tex] \sqrt{ {42}^{2} - {28}^{2} } [/tex]

[tex] \sqrt{1764 -784 } = \sqrt{980} [/tex]

=31.304951

On rounding off to 5 significant figures we get

=31.305

c)

[tex] \sqrt[3]{78} = 4.27265[/tex]

On rounding off to 2 significant figures we get

=4.3

Hence required answers

a)1290

b)31.305

c)4.3

I hope it helped you

Answer:

y = 1/8x

Step-by-step explanation:

Given Equation:

⇒ -8y = -1x + 48

⇒ y = 1/8x + 6

As a result, the equation of the parallal line to the given equation x - 8y = 48 is:

⇒ y = 1/8x

Answer:

20.28

Step-by-step explanation:

Triangles; 4

Area of 1 Triangle; 2

Rectangles; 8

Semi Circle; 6.28

Area in total; 20.28

Hope This Helps! :)

Step-by-step explanation:

Area of the rectangle: 4×2=8

Area of the semicircle: πr² ÷ 2= 22/7×2² ÷2 = 12.57 ÷2 = 6.29

Area of one triangle: 1/2×2×2= 2

Area of total figure: 8+6.29+2+2= 18.29

Hope this helps =)

Answer:

its the only way to get the monkey out of the cage

Step-by-step explanation:

u gave to free the monkes

Answer:

Z = 63º

Step-by-step explanation:

X = 180 - 61 - 31 = 88º Angles in a triangle add to 180º

Y = 180 - X = 180 - 88 = 92º Angles in a straight line add to 180º

Z = 180 - 25 - Y = 180 - 25 - 92 = 63º Angles in a triangle add to 180º

So Z = 63º

Answer:

J. x = 1

Step-by-step explanation:

Write an equation based on the image of the scales.

3x + 6 = 9

Subtract 6.

3x = 3

Divide by 3.

x = 1

If you haven't learned to solve equations yet, the same thought process can be used with the scale image. The scales are balanced. To keep them balanced, remove 6 of the pieces marked "1" from BOTH sides of the scale. Then the scale will have three x's on one side and three "1"'s on the other side. So each x has to be one "1".

Answer:

-21x² + 8x + 2

Step-by-step explanation:

Addition of two polynomials:

Like terms have same variable with same power. Combine like terms.

(-16x² & -5x² are like terms ;  10x and (-2x) are like terms ;  (1 and 1 are constants)

-16x² + 10x + 1 + (-5x² - 2x + 1) = -16x² + 10x + 1 -5x² - 2x + 1

                                                = -16x² - 5x² + 10x - 2x + 1 + 1

                                                 = -21x² + 8x + 2

[tex](6x^2+10x-1) +(-5x^2-2x+1)\\\\=6x^2+10x-1-5x^2-2x+1\\\\=x^2+8x[/tex]

Answer:

Do know sorry I can help but maby

Answer:

3.22

Step-by-step explanation:

log(18×100)

log18+log100

1.22+2

3.22

The magnitude of this earthquake using the Richter scale is approximately 3.3 (rounded to the nearest tenth).

To calculate the magnitude of the earthquake using the Richter scale, we can use the formula

R = log(A/A₀),

where

A is the amplitude of the earthquake wave, and

A₀ is the amplitude of the standard wave.

If the earthquake wave's amplitude is 1800 times as great as the smallest detectable wave, this means A/A₀ = 1800.

Therefore, the magnitude of the earthquake (R) would be:

R = log(1800)

Let's calculate it:

R ≈ log₁₀(1800) ≈ 3.255

So, if we round this to the nearest tenth, the earthquake's magnitude on the Richter scale would be approximately 3.3.

Learn more about earthquake magnitude  calculation

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Answer: 47 ream papers were used.

Step-by-step explanation:

23,500 divided by 5000 = 47

Hope it helps!

Answer:

g(x)=2x+1

Step-by-step explanation:

(2x+1)^2+1=4x^2+4x+2

Answer:

The answer is

→ Radius ≈ 4.24ft

Step-by-step explanation:

Given: 320ft³

Were going to use this formula:

[tex]V = \frac{4}{3} \pi r^3[/tex]

Step 1: Solve for r.

Step 2: Round up 4.24314

4.24314 → 4.24

Hence, 4.24ft is your answer.

Answer:

B. Acute

Step-by-step explanation:

Any angle less than 90 degrees is an acute angle. A 90-degree angle is a right angle, and is typically marked with a little box. Any angle more than 90 degrees and less than 180 degrees is an obtuse angle. A 180-degree angle is a straight angle and is basically just a line.

Since 29 degrees is less than 90 degrees, we know that the answer is B, an acute angle.

I hope this helps! Have a lovely day!! :)

(also, here is a picture of examples of the different angles)

Answer:

111000

Step-by-step explanation:

3,500

x 18

63000

+ 48000

111000

Answer:

Of the ones listed, in the way they are written, the answers are x²y – 3x and 6y² – y.

Explanation:

A monomial is a constant, a variable, or the product of constants and variables.  A binomial is the sum or difference of two monomials.  

The first option, xy, is a monomial.  There is only one, so it is not a binomial.

The second one, x²y-3x, is the difference of two monomials; this means it is a binomial.

The third one, 6y²-y, is the difference of two monomials; this means it is a binomial.  

The last one, y²+4xy-x², is the sum and/or difference of at least three monomials (there is a plus at the end that makes me think there is more to it).  This means it is a trinomial, not a binomial.

Answer: B, C, and E.

Step-by-step explanation:

Since all three show the characteristics found in a binomial then these three are your answers. Plus I just did it on Edge.

:)

Answer:

D

Step-by-step explanation:

Answer:

If the left side of the big rectangle is 2m then the right side should be the same. We have 4m

If the bottom of the big rectangle is 9 then the top should also be 9. We now have 22m.

-----------------------------------------------------------------------------------------------------------

The left side of the small rectangle is 2m then so should the right be also 2m. We have 4m.

The top is 3m so the bottom should also be 3m we now have 10m

----------------------------------------------------------------------------------------------------------

If you add 10 + 22 you get 32. 32 is your answer :)

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

It is the corner or a point where line segments meet.

Hi!

Your answer is C.

The vertex is the point where two different rays meet, forming an angle.

It can also simply be the point where 2 straight lines simply meet.

Option A is NOT correct because a vertex is not angle, it is a part of an angle.

Option B is NOT correct because, if there's only one segment, we cannot form a vertex.

See the image below for an example:

Answer:

see below

Step-by-step explanation:

I do not know what the 'given expression' is, bu the three UN-highlighted expressions in each question 1 and 2  are equivalent

  Only the highlighted one is not equiv to the other three

Answer:

-1, -5/6, -2/3, 0, 1 1/3

Step-by-step explanation:

Answer:

-1, -5/6, -2/3, 0, 1 1/3.

Step-by-step explanation:

1 1/3, -5/6, 0, -2/3, -1

The easiest way is to convert them to decimal fractions first:

= 1.333.... , - 0.8333... , 0, -0.666.... , - 1

So in ascending order they are

-1, -0.833.., -0.666... , 0 , 1.333.....

= -1, -5/6, -2/3, 0, 1 1/3.

The photon's energy (E) is equal to its frequency (f) multiplied by the Planck constant (h).

Planck's constant is the elementary quantum of action. Its unit  is the metre-kilogram-second or Joule second. It is denoted by h and has a value of 6.62607015 × 10⁻³⁴ joule second.

The photon's energy (E) is equal to its frequency (f) multiplied by the Planck constant (h). It is given by:

E = hf

Find out more Plancks constant at: https://brainly.com/question/27163891

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Answer:

Planck's constant is used to relate the energy in one quantum of electromagnetic radiation to the frequency of that radiation.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

Step-by-step explanation:

Marise has 26 pokemon cards. Marisa claims that he will have 146 or more cards after she receives her shipment of 8 packs of cards.

So, we have to make a unknown value on 8.

Now, we have to find out that unknown value:

There will be 15 cards in Marisa's 8 boxes.

The number of emergency kits that Neil packed in total for the 150 bottles is gotten as; k = 50 kits.

We are told that Neil puts 3 water bottles into each emergency kit packed.

Now, let the number of emergency kits be k.

Thus;

3k = 150

Division property of equality, we have;

3k/3 = 150/3

k = 50

Thus, the number of emergency kits that Neil packed is gotten as k = 50 kits.

Read more about Equalities at; https://brainly.com/question/25275758

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Answer:

17

Step-by-step explanation:

Order the numbers from least to greatest and find the number i n the middle

Answer:

17

Step-by-step explanation:

organize by least to greatest and mark off from each side until you reach the middle. Easy way to remember is that medium is the middle.

Based on the annual percentage increase and the actual amount, the wage rate per hour at Phoebe's job is $15 per hour.

The company gives an increase of 5% on the hourly wage per hour and this amount comes out to be $0.75.

The wage rate per hour is therefore:

= Actual increase amount / Percentage increase

Solving gives:

= 0.75 / 5%
= $15 per hour

Find out more on wages per hour at https://brainly.com/question/25863464.

Answer:

324

Step-by-step explanation:

** The attachment shows an arithmetic sequence **

Sum of Arithmetic Series formula

[tex]S_n=\dfrac12n(a+l)[/tex]

where:

[tex]a_n=2n-1[/tex]

[tex]\implies a_1=2(1)-1=1[/tex]

[tex]\implies a_{18}=2(18)-1=35[/tex]

[tex]\implies S_{18}=\dfrac12(18)(1+35)=324[/tex]

[tex]\\ \rm\Rrightarrow \sum^{18}_{n=1}2n-1[/tex]

[tex]\\ \rm\Rrightarrow 2(1)-1+2(2)-1\dots+2(18)-1[/tex]

So

[tex]\\ \rm\Rrightarrow S_n=\dfrac{n(a+l)}{2}[/tex]

[tex]\\ \rm\Rrightarrow S_n=\dfrac{18(1+35)}{2}=9(36)=324[/tex]

Answer:

[tex]\textsf{\sf(a)} \quad y=-\dfrac54x+\dfrac{205}{2}[/tex]

(b)  $46.25

Step-by-step explanation:

When adding a line of best fit, ensure that the number of points above and below the line is about equal.

See attachment for line of best fit.

From inspection of the graph, two points on the line are (10, 90) and (50, 40).  Therefore,

[tex]\textsf{let}\:(x_1,y_1)=(10,90)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(50,40)[/tex]

Calculating the slope of the line:

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{40-90}{50-10}=-\dfrac54[/tex]

Using the point-slope form of linear equation:  [tex]y-y_1=m(x-x_1)[/tex]

(where m is the slope and (x₁, y₁) is a point on the line)

[tex]\implies y-90=-\dfrac54(x-10)[/tex]

[tex]\implies y-90=-\dfrac54x+\dfrac{25}{2}[/tex]

[tex]\implies y=-\dfrac54x+\dfrac{205}{2}[/tex]

(where x is the average monthly temperature in °F and y is the monthly heating costs in dollars)

Substitute x = 45 into the equation found in part (a):

[tex]\implies -\dfrac54(45)+\dfrac{205}{2}=46.25[/tex]

Therefore, the monthly heating cost for a month with an average temperature of 45 °F is approximately $46.25