what is the HCF of 216 ​

Answer:

Step-by-step explanation:

L =  4 ft

W  = 3 ft

H = 7 ft

volume = LWH/3 = 28 ft³

Answer:

Step-by-step explanation:

3/40 is the correct answer

By Green's theorem, the line integral

[tex]\displaystyle \int_C f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy[/tex]

is equivalent to the double integral

[tex]\displaystyle \iint_D \frac{\partial g}{\partial x} - \frac{\partial f}{\partial y} \,\mathrm dx\,\mathrm dy[/tex]

where D is the region bounded by the curve C, provided that this integrand has no singularities anywhere within D or on its boundary.

It's a bit difficult to make out what your integral should say, but I'd hazard a guess of

[tex]\displaystyle \int_C \left(3y+5e^{-x}\right)\,\mathrm dx + \left(10x+3\cos\left(y^2\right)\right)\,\mathrm dy[/tex]

Then the region D is

D = {(x, y) : 0 ≤ x ≤ 1 and x ² ≤ y ≤ √x}

so the line integral is equal to

[tex]\displaystyle \int_0^1\int_{x^2}^{\sqrt x} \frac{\partial\left(10x+3\cos\left(y^2\right)\right)}{\partial x} - \frac{\partial\left(3y+5e^{-x}\right)}{\partial y}\,\mathrm dy\,\mathrm dx \\\\ = \int_0^1 \int_{x^2}^{\sqrt x} (10-3)\,\mathrm dy\,\mathrm dx \\\\ = 7\int_0^1 \int_{x^2}^{\sqrt x} \mathrm dy\,\mathrm dx[/tex]

which in this case is 7 times the area of D.

The remaining integral is trivial:

[tex]\displaystyle 7\int_0^1\int_{x^2}^{\sqrt x}\mathrm dy\,\mathrm dx = 7\int_0^1y\bigg|_{y=x^2}^{y=\sqrt x}\,\mathrm dx \\\\ = 7 \int_0^1\left(\sqrt x-x^2\right)\,\mathrm dx \\\\ = 7 \left(\frac23x^{3/2}-\frac13x^3\right)\bigg|_{x=0}^{x=1} = 7\left(\frac23-\frac13\right) = \boxed{\frac73}[/tex]

Answer:

a)

d)

Step-by-step explanation:

It's easiest to reduce each statement to its simplest form for comparison

Our test statement can be reduced by combining like terms

16x - 12 -24x + 4 = -8x - 8

this becomes our new gold standard

a) 4 + 16x - 12(1 + 2x)

apply the distributive property by multiplying terms in parenthesis by -12

4 + 16x - 12 - 24x

combine terms

-8x - 8     Yeaah, We have a winner as it exactly matches our gold standard.

b) 40x - 16 is already in simplest terms and does NOT match the gold standard.

c) 16x - 24x - 4 + 12

has the same cardinal values as the original, but differing signs, reducing gives -8x + 8

Not quite the same as a plus sign occurs where a negative exists in our gold standard.

d) -8x - 8  is already in simplest terms and exactly matches our gold standard. Yeah!

e) 10(1.6x - 1.2 - 2.4x + 4)

apply distributive property by multiplying each term in parenthesis by 10

16x - 12 - 24x + 40

combine like terms

-8x + 28 does NOT match our gold standard

Answer:

Test statistic = 1.664

Step-by-step explanation:

The hypothesis :

H0 : μ = 47.2

H1 : μ ≠ 47.2

Given that :

Sample mean, xbar = 47

Sample size, n = 250

Standard deviation, σ = 1.9

The test statistic :

(xbar - μ) ÷ (σ/√(n))

T = (47 - 47.2) ÷ (1.9/√(250))

T = (0.2 / 0.1201665)

Test statistic = 1.664

Formula-

If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. Consider an example, If set A has the elements, A = {a, b}, then the proper subset of the given subset are { }, {a}, and {b}

Symbol that can be used-

The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".

Hope it helps you... pls mark brainliest if it helped you.

The probability of selecting 2 Snickers is 3/190. The probability of selecting a Snickers and Hershey Bar in that order is 3/76. The probability of selecting a Milky Way and a Kit Kat bar in that order is 18/190.

Number of Snickers = 3

Number of Hershey Bars = 5

Number of Kit-Kat Bars = 6

Number of Milky Ways = 6

Total number of chocolates = 20

a) What is the probability of selecting 2 Snickers?

= 3/20 × 2/19

= 3/190

The probability of selecting 2 Snickers is 3/190

b) What is the probability of selecting a Snickers and Hershey Bar in that order?

= 3/20 × 5/19

= 3/76

The answer is 3/76

c) What is the probability of selecting a Milky Way and a Kit Kat bar in that order

= 6/20 × 6/19

= 18/190

The probability is 18/190

Read related link on:

https://brainly.com/question/13604758

Answer:

its d      47

Step-by-step explanation:

yep yep

Answer:

D: 47

Step-by-step explanation:

Edge 2022

Answer:

A. x < -3 or x > -3

Step-by-step explanation:

Let's start with the equation -4x + 60 < 72.

-4x + 60 < 72

First using the order of operations, subtract 60 from both sides.

-4x + 60 - 60 < 72 - 60

- 4x < 12

Next we want to divide -4 from both sides to isolate the variable.

-4x/-4 < 12/-4

x > -3

When you divide a negative number, always make sure the change the sign.

Solve the next equation, 14x + 11 < -31, the same way we solved the last.

14x + 11 < -31

Subtract 11 from both sides.

14x + 11 - 11 < -31 -11

14x < -42

Divide 14 from both sides.

14x/14 < -42/14

x < -3

The equations have different signs.

A. x < -3 or x > -3

Answer:

-7x-11

Step-by-step explanation:

expand brackets

6-3x-10+8-4x=15

4-7x=15

move 15 to left side

-7x-11

Answer:

4-7x=15

Step-by-step explanation:

[tex]6 - (3x + 10) + 4(2 - x) = 15 \\ 6- 3x - 10 + 8 - 4x = 15 \\ - 7x = 15 + 10 - 8 - 6\\ - 7x = 11 \\ the \: same \: one \: is \\ 4 - 7x = 15[/tex]

Answer:

A=13×13

=169sqr.units

a...cause she's having trouble concentrating,for her to work she needs to tell her realtor she can only receive text messages it enables her to know the process of the house hunt

Answer:

A sample of 1699 would be required.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation is known to be $8.2.

This means that [tex]\sigma = 8.2[/tex]

How large of a sample would be required in order to estimate the mean per capita income at the 95% level of confidence with an error of at most $0.39?

This is n for which M = 0.39. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.39 = 1.96\frac{8.2}{\sqrt{n}}[/tex]

[tex]0.39\sqrt{n} = 1.96*8.2[/tex]

[tex]\sqrt{n} = \frac{1.96*8.2}{0.39}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*8.2}{0.39})^2[/tex]

[tex]n = 1698.3[/tex]

Rounding up:

A sample of 1699 would be required.

Answer:

x( x-4)(x+2)

Step-by-step explanation:

x^3-2x^2-8x

First factor out the greatest common factor x

x( x^2 -2x -8)

What 2 numbers multiply to -8 and add to -2

-4*2 = -8

-4+2 = -2

x( x-4)(x+2)

This question is solved using relative frequency concepts, finding the following two way frequency table, with the - separating the values:

0.4290 - 0.0540 - 0.4839

0.0581 - 0.4581 - 0.5161

0.4871 - 0.5121 - 1

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

Relative frequency:

The relative frequency of a to b is given by a divided by b.

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

Democratic:

Total of 150 + 160 = 310 voters.

Of the 150 Democrats, 133 voted for the Democrat and 150 - 133 = 17 voted for the Republican.

The frequencies are:

[tex]\frac{133}{310} = 0.4290, \frac{17}{310} = 0.0548[/tex]

Proportion of democratic voters is:

[tex]\frac{150}{310} = 0.4839[/tex]

Thus, the first line is: 0.4290 - 0.0540 - 0.4839

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

Republican:

Of the 160 Republicans, 142 voted for the Republican and 160 - 142 = 18 voted for the Democrat.

The frequencies are:

[tex]\frac{18}{310} = 0.0581, \frac{142}{310} = 0.4581[/tex]

The proportion of republican voters is:

[tex]\frac{160}{310} = 0.5161[/tex]

Thus, the second line is: 0.0581 - 0.4581 - 0.5161

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

Third line:

0.4290 + 0.0581 = 0.4871

0.0540 + 0.4581 = 0.5121

0.4839 + 0.5161 = 1

Thus, the third line is: 0.4871 - 0.5121 - 1

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

Two-way frequency table:

The two-way frequency table is:

0.4290 - 0.0540 - 0.4839

0.0581 - 0.4581 - 0.5161

0.4871 - 0.5121 - 1

A similar question is given at: https://brainly.com/question/24337228

Answer:

Democratic 133 18 151

Republican 17 142 159

Total        150 160 310

Step-by-step explanation:

Answer:

Fraction form: 7/-13

Decimal form:-0.53846153846154

Answer:

The correct answer is:

Portfolio A = $107,000

Portfolio B = $36,000

Portfolio C = $32,000

Step-by-step explanation:

According to the question,

[tex]A+B+C=175000[/tex]...(1)

[tex]A+B = 143000[/tex]...(2)

[tex]A+C=139000[/tex]...(3)

Now,

From (1) and (2), we get

⇒ [tex]Portfolio \ C = (1)-(2)[/tex]

                        [tex]=175000-143000[/tex]

                        [tex]=32000[/tex]...(4)

From (1) and (3), we get

⇒ [tex]Portfolio \ B =(1)-(3)[/tex]

                        [tex]=175000-139000[/tex]

                        [tex]=36000[/tex]...(5)

From (1), (4) and (5), we get

⇒ [tex]Portfolio \ A = (1)-(4+5)[/tex]

                        [tex]=175000-(36000+32000)[/tex]

                        [tex]=175000-68000[/tex]

                        [tex]=107000[/tex]  

Thus the above is the correct answer.

Answer:

1

Use the quadratic formula

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2

+

5

−

2

=

0

x^{2}+5x-2=0

x2+5x−2=0

=

1

a={\color{#c92786}{1}}

a=1

=

5

b={\color{#e8710a}{5}}

b=5

=

−

2

c={\color{#129eaf}{-2}}

c=−2

=

−

5

±

5

2

−

4

⋅

1

(

−

2

)

√

2

⋅

1

Step-by-step explanation:

this should help

Answer:

c = 3.00 + .50b

Step-by-step explanation:

The cost is the flat fee plus the cost per book times the number of books

c = 3.00 + .50b

Answer:

$38427

Step-by-step explanation:

Surface Area Formula: A=2(wl+hl+hw) where l=length w=width h=height

A=2((20(22))+(22(2))+(20(2)) = 1048ft^2

3 ft = 1yds -> 1048 ft = 349 1/3 yds

349 1/3(110)= 38426.66666

$38427

Answer: $2,613,600

Step-by-step explanation:

Concept:

Here, we need to know the idea of unit conversion and a rectangular prism.

When there are multiple units occurring in the same question, then we should convert all the units into one by different conversion factors.

A rectangular prism is a three-dimensional figure that has 6 sides that are rectangles.

1 foot = 12 inches

1 yard = 3 feet

V (rectangular prism) = w · l · h

Solve:

24 inches = 24 / 12 = 2 feet

$110 per cubic yard = 110 × 3³ = $2970 per cubic feet

V = w · l · h

V = (20) (22) (2)

V = 880 feet³

880 × 2970 = $2,613,600

Hope this helps!! :)

Please let me know if you have any questions

Answer:

There are a few rules that we can use here:

ln(a^x) = x*ln(a)

ln(a) - ln(b) = ln(a/b)

ln(1) = 0

So here we want to expand:

ln(1/49^k)

First we can use the second property to get:

ln(1/49^k) = ln(1) - ln(49^k)

using the third property, we have:

ln(1/49^k) = ln(1) - ln(49^k) = 0 - ln(49^k)

ln(1/49^k) =  - ln(49^k)

Now we can use the first property to get:

ln(1/49^k) =  - k*ln(49)

Now we can use the fact that:

49 = 7*7 = 7^2

then:

- k*ln(49) = -k*ln(7^2) = -2*k*ln(7)

So we have:

ln(1/49^k) = (-2*ln(7))*k

We can expand it anymore because this is a real number  "(-2*ln(7))" times a variable k.

Answer:

Mid- point =(-4+2/2, -2+8/2)

=(-2/2,6/2)

=(-1,3)

The mid point of the line segment joining  (–4, –2) and (2,8) is (-1, 3)

mid point = (x₁ + x₂ / 2, y₁ + y₂ / 2)

Therefore,

(-4, -2)(2, 8)

x₁= -4

x₂ = 2

y₁ = -2

y₂ = 8

Hence,

mid point = (-4 + 2 / 2, -2 + 8 / 2)

mid point = (-2 / 2, 6 / 2)

mid point = (-1, 3)

learn more on mid point here: https://brainly.com/question/1501820

Answer:

speaking giberish

Step-by-step explanation:

cos it is just a word that is rare

Answer for this prob

let number of green balls= x

let number of orange balls=x+4

x+x+4=38

2x=38-4

2x=34

x=17

number of green balls=17

number of orange balls=21

9514 1404 393

Answer:

  19

Step-by-step explanation:

After x days, the boy will have read 10x. If this is less than 192, we have ...

  10x < 192

  x < 192/10

  x < 19.2

If x is an integer, the largest possible value x could have is 19.

Answer:

what three options bro where are the options

Answer:

9 hours, 11 hours, 19 hours.