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Answer:

The correct option is (b).

Step-by-step explanation:

We need to find the value of the given expression i.e.

3⁷ × 3⁻⁴

We know that, one of the property of exponent is:

[tex]x^{-a}=\dfrac{1}{a}[/tex]

So,

[tex]3^7\times 3^{-4}=3^7\times \dfrac{1}{3^4}\\\\=3^3\\\\=27[/tex]

Hence, the correct option is (b).

Answer:

D. 144

Step-by-step explanation:

find the volume of the shipping container and divide it by the volume of a box.

[tex]2\frac{2}{3}[/tex] × [tex]1[/tex] × [tex]2[/tex] = [tex]\frac{16}{3}[/tex]

[tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{1}{27}[/tex]

[tex]\frac{16}{3}[/tex] divided by [tex]\frac{1}{27}[/tex] is 144.

Answer:

The last one at right bottom

Answer:

Is bottom left

Step-by-step explanation:

Answer:

angle y = 49°

Step-by-step explanation:

If AB = AD and BC = DC, then the two triangles are isosceles triangles. The altitude from the top to the base divides the top angle into two equal angles, with 90° angles at the base. If angle C is divided into two equal angles (41°) and at the base is a 90° angle, that makes angle CBD 49°. On an isosceles triangle, the two angles opposite to the equal sides are identical. So angle y is identical to angle CBD.

Answer:

1.5 amps

Step-by-step explanation:

P = V.I

60 = 40.I

60/40 = 40.I/40

I = 1.5

Answer:37

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

First, sort the data in increasing order.

15, 28, 32, 42, 44, 48

The number of data is even (there are 6 numbers), so there isn't one in the middle.  In that situation, you average the middle 2 data (32 and 42).

(32 + 42)/2 = 74/2 = 37

If there IS a middle numbe, just use it.

Answer:

A= πr^2

45=πr^2

45/1 =22/7×r^2

45/1=22r^2/7 cross multiply

22r^2 ×1=45×7

22r^2=315 divide both sides by 22

22r^2/22=315/22

r^2=14.318

9514 1404 393

Answer:

  B.  a = 10√3, b = 5√3,  c = 15, d = 5

Step-by-step explanation:

When you examine the angles of these triangles, you see that all of the triangles are 30°-60°-90° triangles, so ratios of corresponding sides are the same.

Examining the answer choices, you see that all of them agree that ...

  a = 10√3, c = 15

Since b is the long leg of the smallest triangle, you know that b > d. This is only the case in answer choices B and D.

The leg marked 'a' is the long leg of the largest triangle, whose short leg is 10. That is the ratio of the longer to shorter legs is 10√3 : 10 = √3 : 1. The ratio of 'b' to 'd' needs to be the same, matching only answer choice B.

__

The ratios of the sides of a 30-60-90 triangle are 1 : √3 : 2. This tells you that ...

  d = 10/2 = 5

  c+d = 10×2 = 20   ⇒   c = 20 -5 = 15

  b = 5√3

  a = 10√3

As a check, c = b×√3 = (5√3)(√3) = 5·3 = 15. (matches above)

the anser is 333399999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

Answer:

4567,4678..............

Answer:

Diffrence is the mean of differential

9514 1404 393

Answer:

  (b)  S = 15,210

Step-by-step explanation:

The common ratio is ...

  r = 1369/1521 ≈ 0.90

So, the sum is ...

  S = 1521/(1 -r) = 1521/0.10 = 15,210 . . . . . sum of the series

9514 1404 393

Answer:

  (b)  S = 15,210

Step-by-step explanation:

The common ratio is ...

  r = 1369/1521 ≈ 0.90

So, the sum is ...

  S = 1521/(1 -r) = 1521/0.10 = 15,210 . . . . . sum of the series

Answer:

hope it helps uh

Answer:

w=-8

Step-by-step explanation:

2w+22=-6(w+7)

2w+22=-6w-42

8w+22=-42

8w=-64

w=-8

Therefore, w=-8

Answer:

w = -8

Step-by-step explanation:

2w+22=-6(w+7)

2w+22 = -6w - 42

8w +22 = -42

8w = -64

w= -64/8

w = -8

Answer:

45

Step-by-step explanation:

Answer:

2. right

3.obtuse

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

[P, V1, V2]

[P, V1, V3]

[P, V2, V3]

Step-by-step explanation:

From the question, the executive board has 4 persons.

P = president

V1 = vice president 1

V2 = vice president 2

V3 = vice president 3

The president must be part of three members formed from these 4 to vote yes for a motion to pass

The weighted system can be represented as

[P, V1, V2]

[P, V1, V3]

[P, V2, V3]

These are the 3 possibilities.

Answer:

2.4x-4.4

Step-by-step explanation:

0.3(4x-8)-0.5(-2.4x+4)

DISTRIBUTE: 1.2x-2.4+1.2x-2

COMBINE LIKE TERMS: 2.4x-4.4

your answer is: 2.4x-4.4

Answer:

H0 : p = 0.5

H1 : p > 0.5

Step-by-step explanation:

The the claim to test and determine if a signifant evidence for is if more than half of viewers want a return to original day time program. Since, this is

Since, p is the proportion who prefer the regular day time program;

The hypothesis to test is :

If p > 0.5 `; this represents the alternative hypothesis which we want to check if it we have significant evidence to adopt the claim.

The Null value on the other hand will take the a proportion equal to the p: and it is the initial truth until the alternative has a strong evidence to reject the null.

The null ;

H0 : μ = 0.5

Answer:

5.625

Step-by-step explanation:

You just have to multiply 1.5 by 3.75 which is 5.625.

So there are 5.625 grams of fat in 3.75 servings.

5.625 grams of fat are in 3.75 servings.

You just have to multiply 1.5 by 3.75 which is 5.625.

So there are 5.625 grams of fat in 3.75 servings.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

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Answer:

The standard form of the ellipse is [tex]\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1[/tex].

Step-by-step explanation:

The major axis of the ellipse is located in the y axis, whereas the minor axis is in the x axis. The center of the ellipse is the midpoint of the line segment between vertices, this is:

[tex](h, k) =\frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2} (x,y)[/tex] (1)

If we know that [tex]V_{1} (x,y) = (4,0)[/tex] and [tex]V_{2}(x,y) = (4, 14)[/tex], then the coordinates of the center are, respectively:

[tex](h,k) = \frac{1}{2}\cdot (4, 0) + \frac{1}{2}\cdot (4,14)[/tex]

[tex](h,k) = (2,0) + (2, 7)[/tex]

[tex](h, k) = (4, 7)[/tex]

The length of each semiaxis is, respectively:

[tex]a = \sqrt{(1 - 4)^{2}+(7-7)^{2}}[/tex]

[tex]a = 3[/tex]

[tex]b = \sqrt{(4-4)^{2}+(0-7)^{2}}[/tex]

[tex]b = 7[/tex]

The standard equation of the ellipse is described by the following formula:

[tex]\frac{(x-h)^{2}}{a^{2}}+ \frac{(y-k)^{2}}{b^{2}} = 1[/tex]

Where:

[tex]h[/tex], [tex]k[/tex] - Coordinates of the center of the ellipse.

[tex]a[/tex], [tex]b[/tex] - Length of the orthogonal semiaxes.

If we know that [tex]h = 4[/tex], [tex]k = 7[/tex], [tex]a = 3[/tex] and [tex]b = 7[/tex], then the standard form of the ellipse is:

[tex]\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1[/tex]

Hi there! Using one of the logarithmic property below:

[tex] \large \boxed{ log_{a}(b) = n \longrightarrow {a}^{n} = b}[/tex]

From the equation:

[tex] \large{ log_{2}(y) = x + 7}[/tex]

Therefore,

[tex] \large{ {2}^{x + 7} = y} \\ \large{y = {2}^{x + 7} }[/tex]

Answer

Answer:

0.15

Step-by-step explanation:

Answer:

45544554554554445455544

Step-by-step explanation:

Answer:

I don't see an option Gas to liquid but the correct answer will be gas to liquid.

Explanation:

If u heat water will evaporate and form water vapour (gas form). Anytime heat is released from a gas, it will change forms to be a liquid. It is like reverse condensation.

Answer:

Second one: (1,2) (2,4) (3,6)

Step-by-step explanation:

y = 2x

2 = 1(2)

4 = 2(2)

6 = 2(3)

Answer:

(1,2),(2,4),(3,6)

Step-by-step explanation:

y = 2x

y = 2(1)

y = 2

y = 2x

y = 2(3)

y = 6

y = 2x

y = 2(2)

y = 4

x axis and y axis of each coordinate match with equation

Answer:

-19.

Step-by-step explanation:

-19+31 gets you 12.

Answer:

6(2x + 3y)

Step-by-step explanation:

6 is the largest greatest common factor you can take out. As all powers are 1, nothing else can be done.

The factorize form of the expression  12x + 18y is 6(2x+3y)

An expression is combination of variables, numbers and operators.

The given expression is  12x + 18y

Twelve times of x plus eighteen times of y

x and y are the variables in the expression

Let us factorize the expression

The Gcd of 12 and 18 is 6

So take 6 as common from the expression

6(2x+3y)

Hence, the factorize form of the expression  12x + 18y is 6(2x+3y)

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