How do you write 26,300 in scientific notation? ____× 10^____

Answer:

GOOGLE :)

equation:

y=mx+b

m= slope (how steep the line is(negative is \ positive is /))

b= y intercept (where it is on the vertical line(up and down line))

step by step

1. locate y intercept and plotthe point

2.from that point use slop to find second point and plot

Answer:

The answer is below

Step-by-step explanation:

They would be written like this:

Arithmetic Progression:

Explicit formula

Tn = a + (n-1) * d

Recursive formula

Tn = Tn-1 + d

Where a is the first term, d is the common differance and n is the number of terms.

Geometric Progression:

Explicit formula

Tn = a * r ^ (n-1)

Recursive formula

Tn = Tn-1 * r

Where r is common ratio

Answer:

A) g(x) has a greater absolute maximum.

Step-by-step explanation:

Given graph of g(x) which is a Parabola

1. Opens downwards

2. The absolute maximum (vertex) is at around (3.5, 6)

i.e. value of absolute maximum is 6.

Another function:

[tex]f(x) =-x^{2}+4x-5[/tex]

Let us convert it to vertex form to find its vertex.

Taking - sign common:

[tex]f(x) =-(x^{2}-4x+5)[/tex]

Now, let us try to make it a whole square,

Writing 5 as 4+1:

[tex]f(x) =-(x^{2}-4x+4+1)\\\Rightarrow f(x) =-((x^{2}-2 \times 2\times x+2^2)+1)\\\Rightarrow f(x) =-((x-2)^{2}+1)\\\Rightarrow f(x) =-(x-2)^{2}-1[/tex]

Please refer to attached graph of f(x).

We know that, vertex form of a parabola is given as:

[tex]f (x) = a(x - h)^2 + k[/tex]

Comparing the equations we get:

a = -1 (Negative value of a means the parabola opens downwards)

h = 2, k = -1

Vertex of f(x) is at (2, -1) i.e. value of absolute maximum is -1

and

Vertex of g(x) is at (3.5, 6)

i.e. value of absolute maximum is 6.

Hence, correct answer is:

A) g(x) has a greater absolute maximum.

Answer:

g(x) has a greater absolute maximum.

Answer:

Not reject null hypothesis since the p value is greater than 0.05

Step-by-step explanation:

We have the following:

z = (x ^ -m) / (sd / n ^ (1/2))

Let m be the mean that is 8, sd the standard deviation that is 0.6, n the sample size that is 32 and x the value to evaluate that is 8.2, replacing:

z = (8.2-8) / (0.6 / 32 ^ (1/2)) = 1.89

P (x> 8.2) = P (z> 1.89)  

P (x> 8.2) = 1 - P (z <1.89)

We look for this value in the attached table of z and we have to:

P (x> 215) = 1 - 0.9713 (attached table)

P (x> 215) = 0.0287

since this is a two tailed test, the area of 0.0287 must be doubled the p value

the p value = 0.05794

Therefore, the decision is to not reject null hypothesis since the p value is greater than 0.05

Answer:

Step-by-step explanation:

Given:

  281,000 homes sold through Jan 2011 was 66.3% of homes completed

  378,000 homes was a 28.5% decrease from starts in 2010

Find:

  (i) Homes completed in 12 months through Jan 2011

  (ii) Comparison to homes started in 2010

Solution:

(i) Using the given relation, we can find homes completed through Jan 2011.

  281,000 = 0.663×completed

  completed = 281,000/0.663 = 423,831

__

(ii) Similarly, we can find the number of 2010 starts:

  starts(1 -28.5%) = 378,000

  starts = 378,000/0.715 = 528,671

The relation of completions in 2011 to starts in 2010 is ...

  423,831 -528,671 = -104,840

__

Through Jan 2011, there were 423,831 homes completed, which was 104,840 fewer than the number of starts in 2010.

_____

Comment on your question

Your problem statement supplies the answer to the first question in 2(c). Part 1(b) tells you the relation between starts in 2011 and in 2010, so you can easily figure starts in 2010 from your answer to that question.

Answer:

  -1

Step-by-step explanation:

In many cases, the simplified expression is not undefined at the point of interest.

  [tex]\dfrac{\left(\dfrac{1}{\sqrt{x}}-1\right)}{\sqrt{x}-1}=\dfrac{\left(\dfrac{1-\sqrt{x}}{\sqrt{x}}\right)}{\sqrt{x}-1}=\dfrac{-1}{\sqrt{x}}[/tex]

This can be evaluated at x=1:

  -1/√1 = -1

Then, the limit is ...

  [tex]\boxed{\lim\limits_{x\to 1}\dfrac{\left(\dfrac{1}{\sqrt{x}}-1\right)}{\sqrt{x}-1}=-1}[/tex]

__

A graph confirms this conclusion.

Answer: 10

Step-by-step explanation:

Step-by-step explanation:

10x-8y = 40 (1)

5x-2y= 40  (2)

multiply (2) by -2 then add to (1) to get rid of x

-10x+4y+10x-8y = 40+ (-80)

-4y = -40

4y = 40

y= 40/4

y = 10

the answer is 10

Answer:

1.5 g/cm³

Step-by-step explanation:

Density is g/cm³.  This means that you have divide the mass by the volume.

(150 g)/(100 cm³) = 1.5 g/cm³

The density of the apple is 1.5 g/cm³.

Answer:

[tex] \boxed{\sf Density = 1.5 g/cm^3} [/tex]

Given:

Mass (m) = 150 g

Volume (V) = 100 cm³

To Find:

Density in g/cm³

Step-by-step explanation:

[tex]\sf Density = \frac{Mass (m)}{Volume (V)} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{15 \cancel{0}}{10 \cancel{0}} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{15}{10} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1.5 \: g/cm^3 [/tex]

Answer:

A.

Step-by-step explanation:

A. i just took the test

Answer:

f(x)=-x+11

Step-by-step explanation:

Answer:

(2, 6)

Step-by-step explanation:

The solution will be where the two lines intersect. From the graph, that point is (2, 6).

Answer:

Work done = 0 J

Step-by-step explanation:

work done= ∫ F. dr

                   = [tex]\int\limits^2_0 {x} \, dx[/tex] +  [tex]\int\limits^2_2 {x} \, dx[/tex]  + [tex]\int\limits^0_2 {x} \, dx[/tex]  + [tex]\int\limits^0_0 {x} \, dx[/tex]  +  [tex]\int\limits^0_0 {y} \, dy[/tex]  + [tex]\int\limits^5_0 {y} \, dy[/tex]  + [tex]\int\limits^5_5 {y} \, dy[/tex]  + [tex]\int\limits^0_5 {y} \, dy[/tex] + [tex]\int\limits^0_0 {z} \, dz[/tex]  + [tex]\int\limits^1_0 {z} \, dz[/tex]  + [tex]\int\limits^1_1 {z} \, dz[/tex]  + [tex]\int\limits^0_1 {z} \, dz[/tex]

Work done= x²/2 + y²/2 + z²/2

Applying integral limits for entire pathway

Work done= 2 + 0 -2 + 0 + 0+ 25/2 - 25/2 + 0 + 1/2 + 0 - 1/2

Work done = 0 J

Answer:

monthly income=$900

the monthly income was multipled by 2

so, real income was, $900/2

=$ 450

so, $450×2=$900...

The real income is $400.

The term multiplication refers to the product of two or more than two numbers.

Let us assume that the real income is x.

We have to multiply the real income by 2 to get the monthly income of $900.

This implies that [tex]x\times 2=\$900[/tex],

Solving the above expression, we will get

[tex]x\times 2=\$900\\x=\dfrac{900}{2} \\x=400[/tex]

So, the real income is $400.

Learn more about expression here-https://brainly.com/question/14083225

#SPJ2

Answer:

Step-by-step explanation:

The answer is 56.

Answer:

The tree house is 8 feet off the ground, or 96 inches up because (8)(12) = 96. Each knot needs 2 extra inches, so the expression for the length of rope needed is 96 + 2n. If n = 8, then Peter will need 96 + 2(8) = 112 inches of rope.

Step-by-step explanation:

edge

Answer:

33.0693394

Step-by-step explanation:

1 klio is 2.20462262,just mulipily by 15.

Answer:

a) -8x^3 + x^2 + 6x

b)16x^2 -9

c) 24x^4 + 37x^3 +13x^2 -18x

Step-by-step explanation:

a) distribute -2x to x and 4x^2 then do the same for the other part and then add the ones w the same exponent.

b) do foil ( multiply first outside inside last) which will be 4x times 4x then 4x times 3 then -3 times 4x and 3 times -3. add like exponents

c) do the same as above

Answer:

f = -14

Step-by-step explanation:

given:

4 − (–5f) = –66

4 + 5f = -66   ( subtract 4 from both sides)

5f = -66 - 4

5f = -70  (divide both sides by 5)

f = (-70) / 5

f = -14

Answer:

$4.25

Step-by-step explanation:

We can create a proportion to find how much 25 oz will cost:

[tex]\frac{2.79}{16.4}[/tex] = [tex]\frac{x}{25}[/tex]

We can cross multiply to find x.

16.4x = 69.75

x = 4.25

So, this means 25 ounces of cereal will be $4.25

Answer:  24

Step-by-step explanation:

Variation: y  ∞  x

y  =  kx , where k is the constant of proportionality

now to find k, we substitute for y and x in the equation above

16 = 8k

therefore,

k = ¹⁶/₈

  = 2.

Now, to find y , we move back to the equation above and substitute for x and k to get y

y =   12(2)

  =  24

Answer:

A= 20x

B= 15n

C= 15x+ 9

D= a + 15

E= 9x + 3y

F= 10w + 10z

Step-by-step explanation:

Answer:

Explained below.

Step-by-step explanation:

The information provided is:

n = 200

X = 106

α = 0.05

The sample proportion is:

[tex]\hat p=\frac{X}{n}=\frac{106}{200}=0.53[/tex]

(a)

A hypothesis test is to performed to determine whether more than half of all drivers drive a car made in this country.

The hypothesis is:

H₀: The proportion of drivers driving a car made in this country is less than or equal to 50%, i.e. [tex]\mu_{p}\leq 0.50[/tex]

Hₐ: The proportion of drivers driving a car made in this country is more than 50%, i.e. [tex]\mu_{p}> 0.50[/tex]

(b)

Compute the value of the test statistic:

[tex]Z=\frac{\hat p-\mu_{p}}{\sqrt{\frac{\mu_{p}(1-\mu_{p})}{n}}}[/tex]

   [tex]=\frac{0.53-050}{\sqrt{\frac{0.50(1-0.50)}{200}}}\\\\=0.8485\\\\\approx 0.85[/tex]

Compute the p-value as follows:

[tex]p-value=P(Z_{0.05}>0.85)\\=1-P(Z_{0.05}<0.85)\\=1-0.80234\\=0.19766\\\approx 0.198[/tex]

*Use a z-table.

Thus, the p-value of the test is 0.198.

(c)

Decision rule:

Reject the null hypothesis if the p-value is less than the significance level.

p-value = 0.198 > α = 0.05

The null hypothesis will not be rejected.

The correct option is (A).

(d)

Conclusion:

There is not enough evidence at 0.05 level of significance to support the claim that the proportion of drivers driving a car made in this country is more than 50%.

Answer:

The answer is option A.

Step-by-step explanation:

To find angle C we use the cosine rule

That's

AB² = AC ² + CB ² - 2(AC)(CB)cos C

AC = 7.5

AB = 6

CB = 6.5

6² = 7.5² + 6.5² - 2(7.5)(6.5)cosC

36 = 56.25 + 42.25 - 97.5cos C

36 - 98.5 = - 97.5 cos C

-62.5 = - 97.5 cos C

cos C = -62.5 / - 97.5

C = cos ^-1 25/39

C = 50.1

The final answer is

Hope this helps you.

Answer: 4 pairs

Step-by-step explanation:

121-16=105.   However, 121 can be made by squaring -11 or 11.  16 can be made by squaring 4 or -4.  Thus, the choices are 11,4 11,-4 -11,4 -11,-4

Answer:

  2.46% monthly pays the most

Step-by-step explanation:

The formula for the effective annual rate of interest when nominal rate r is compounded n times per year is ...

  r' = (1 +r/n)^n -1

For 2.43% compounded daily, the effective annual rate is ...

  r' = (1 +0.0243/365)^365 -1 ≈ 2.4597%

For 2.46% compounded monthly, the effective annual rate is ...

  r' = (1 +0.0246/12)^12 -1 ≈ 2.4879%

For 2.47% compounded annually, the effective annual rate is ...

  r' = (1 +0.0247/1)^1 -1 = 2.47%

__

The account with an APR of 2.46% compounded monthly pays the most interest. (2.49% > 2.47% > 2.46% ⇔ monthly > annually > daily)

Given function [tex]f(x)=x^2-4[/tex] find its inverse by substituting x for f(x) and then solving for f(x).

[tex]x=f(x)^2-4\implies f(x)^{-1}=\sqrt{x+4}[/tex]

Where [tex]x+4>=0[/tex] for x to be real.

So solve the inequality and you will obtain the domain:

[tex]x+4>=0\implies x>=-4\implies x\in[-4,+\infty)[/tex].

Range is equal to the range of square root function,

[tex]y\in[0, +\infty)[/tex].

Hope this helps.

Answer:

{2 pi/3}x units

Step-by-step explanation:

i got it right on edg

Answer: Option B

{2 pi/3}x units

Step-by-step explanation:

Answer:

  B)  112°

Step-by-step explanation:

After the double reflection the point is effectively rotated by an amount that is double the angle between the lines of reflection:

  2·56° = 112°

_____

In the attached, lines l and m are separated by 56°, as required by the problem statement.

Answer:

17+m=34

Step-by-step explanation:

Nina had 17 marbles in a bag + the x amount of marbles that her mom gives her.

so 17+x=34

(x is the variable that I chose however it could be any variable, so it would also mean the same thing as 17+m=34)

Hope this helped!

Answer:

17 + m = 34.

Step-by-step explanation:

Nina had 17 marbles;

Mother put a handful of marbles, let's say m.

Now Nina has 34 marbles.

34 marbles is [=] 17 marbles Nina had before + m from her mother.

17 + m = 34 will be the right equation.