Area (pic included*) Explain why !!

Answer:

270 cm3

Step-by-step explanation:

The volume of the given rectangular prism is 270 cm³.

Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.

Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.

We have

Length = 9 cm

Width = 2 cm

Height = 15 cm

Using the formula for volume of the rectangular prism

= length x width x height

= 9 x 2 x 15

= 270 cm³

Thus, the volume of the given rectangular prism is 270 cm³.

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Answer:

Step-by-step explanation:

This is a geometric sequence with  first term a1 = 2 and common ratio r = 0.5.

an = a1 r^^n-1)

an = 2(0.5)^(n-1).

Recursive equation:

an = 0.5a(n-1) where n > 2

Step-by-step explanation:

The solution in the photo above, I know it is not very clear sorry for that :)

I hope that is useful for you :)

Answer:

813.681818182

(That's the exact number, but you can circle it to 813.7 )

Step-by-step explanation:

459%22=20.8636363636

20.8636363636 x 39= 813.681818182

Answer:

1. if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = 6/2= 3. Thus, the equation describing this direct variation is y = 3x.

2. Partial Variation, where two variables are related by a formula, such as the formula for a straight line (with a non-zero y-intercept)

example :

in the milk factory Carol makes $10 per hour but gets an extra $20 from another job. since Carol gets a $20 allowance regardless of how much she works, if we want to represent Carol's situation in the form of an equation, it would be

Y=10x + 20

therefore if she worked zero hours

(Y=10(0) + 20),

she would still make $20 unconditionally and for every hour she works, she gets $10 more including the initial $20.

thus Carol's equation would be a partial variation, since her income doesn't entirely depend on how much she works.

3. a relation is non linear because it is has a direct relationship between an independent variable and a dependent variable.

In a relation, changes in the output do not change in direct proportion to changes in any of the inputs.

relations does not create a straight line but instead creates a curve.

Answer:

The equation of the ellipse is [tex]\frac{(x-2)^{2}}{8^{2}}+\frac{(y-10)^{2}}{10^{2}} = 1[/tex].

Step-by-step explanation:

The statement is incomplete, the most probable outcome may be the equation of the ellipse based on information given.

The equation of an ellipse whose major axis is vertical and is centered at a point different from origin is defined by:

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

Where:

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

[tex](x,y)[/tex] - Coordinates of a point in the line of the ellipse.

[tex]a[/tex] - Length of the major semiaxis.

[tex]b[/tex] - Length of the minor semiaxis.

The coordinates of the center of the ellipse is midpoint of the segment between vertices, which are collinear with foci:

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

Where [tex]V_{1} (x,y)[/tex] and [tex]V_{2} (x,y)[/tex] are the coordinates of the vertices.

If we know that [tex]V_{1} (x,y) = (2,0)[/tex] and [tex]V_{2} (x,y) = (2, 20)[/tex], then the coordinates of the center ellipse are:

[tex](h,k) = (2, 10)[/tex]

The length of the semimajor axis can be determined by using the following vectorial expression, which is equivalent to the Pythagorean Theorem:

[tex]a = \sqrt{[(h,k)-V_{1}(x,y)]\,\bullet\,[(h,k)-V_{1}(x,y)]}[/tex] (2)

If we know that [tex](h,k) = (2, 10)[/tex] and [tex]V_{1} (x,y) = (2,0)[/tex], then the length of the semimajor axis is:

[tex]a = \sqrt{(2-2)^{2}+(10-0)^{2}}[/tex]

[tex]a = 10[/tex]

And the length of the minor semiaxis is found by means of this Pythagorean identity:

[tex]b = \sqrt{a^{2}-c^{2}}[/tex] (3)

Where [tex]c[/tex] is the length between the center and any of the foci. This distance can be found by using this vectorial formula:

[tex]c = \sqrt{[(h,k)-F_{1}(x,y)]\,\bullet\,[(h,k)-F_{1}(x,y)]}[/tex] (4)

If we know that [tex](h,k) = (2, 10)[/tex] and [tex]F_{1} (x,y) = (2,4)[/tex], then the length between the center and any of the foci is:

[tex]c = \sqrt{(2-2)^{2}+(10-4)^{2}}[/tex]

[tex]c = 6[/tex]

And the length of the minor semiaxis is:

[tex]b = \sqrt{10^{2}-6^{2}}[/tex]

[tex]b = 8[/tex]

FInally, the equation of the ellipse is [tex]\frac{(x-2)^{2}}{8^{2}}+\frac{(y-10)^{2}}{10^{2}} = 1[/tex].

Answer:

d

Step-by-step explanation:

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Answer:

the nearest thousand would be 6000

Step-by-step explanation:

above 6500 would have been 7000

Answer:

6000

Step-by-step explanation:

Answer:

2 or -2

Step-by-step explanation:

If x² - 8x = -12

Step 1

We find x by solving

x² - 8x = -12

We equate to zero

x² - 8x + 12 = 0

We factorise

x² - 6x - 2x + 12 = 0

x(x - 6) -2(x - 6) = 0

(x - 6) (x - 2) = 0

x - 6 = 0, x = 6

x - 2 = 0, x = 2

x = 6 or 2

Step 2

What is x - 4?

When x = 6

= 6 - 4 = 2

When x = 2

= 2 - 4 = -2

Therefore, x - 4 = 2 or -2

Step-by-step explanation:

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Answer:

x = 30°

Step-by-step explanation:

4x + 2x = 180°  because they are supplemental angles

6x = 180°

divide both sides of the equation by 6:

x = 30°

Answer:

90% Confidence Interval for difference in Proportion = (-0.106, -0.034)

Step-by-step explanation:

The formula for difference in proportions is given as:

p1 - p2 ± z × √p1(1 - p1)/n1 + p2(1 - p2)/n2

p = x/n

In a 2017 pre-Hurricane Irma

survey, 486 out of 1,080 adults answered in the affirmative.

x1 = 486

n1 = 1080

p1 = 486/1080 = 0.45

In a 2017 post- Hurricane Irma survey, 546 out of 1,050 answered affirmatively.

x2 = 546

n2 = 1050

p2 = 546/1050 = 0.52

Z score for 90% confidence interval = 1.645

Confidence Interval

=0.45 - 0.52 ± 1.645 × √0.45 (1 - 0.45)/1080 + 0.52(1 - 0.52)/1050

= -0.07 ± 1.645 × √0.0002291667 + 0.0002377143

=-0.07 ± 1.645 × √(0.000466881)

= -0.07 ± 1.645 × 0.0216074293

= -0.07 ± 0.0355442212

Confidence Interval

-0.07 - 0.0355442212

= 0.1055442212

Approximately = -0.106

-0.07 + 0.0355442212

= -0.0344557788

Approximately = -0.034

Therefore, 90% Confidence Interval for difference in Proportion = (-0.106, -0.034)

Answer:

Part A:

Locker A is bigger. Locker A has a volume of 324 cubic feet.

Part B:

$113.40 each month

Step-by-step explanation:

Part A

Locker A:

V = L(W)(H)

V = 6(6)(9)

V = 324

Part B

324(0.35) = 113.4

Locker A is bigger. Locker A has a volume of  324 cubic feet, while Locker B has a volume of 306 cubic feet.

Monthly rent for 324 cubic feet is $113.40

Storage locker A is 6 feet wide, 6 feet deep, and has a height of 9 feet.

Volume of the cuboid is length times width times height

[tex]volume \; of \; locker \; A = lwh\\=6 \cdot 6 \cdot 9\\=324 cubic feet[/tex]

Volume of locker A is 324 cubic feet

Volume  locker B is 306 cubic feet.

324 cubic feet is bigger thatn 306 cubic feet.

Locker A is bigger.

The monthly rent for Locker A is $0.35 per cubic foot. The monthly rent for Locker B is $0.40 per cubic foot.

Monthly rent for locker a is 0.35 per cubic feet.

Monthly rent for 324 cubic feet is [tex]324 \cdot 0.35 =113.4[/tex]

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Answer:

scalene

Step-by-step explanation:

Answer:

17.6

Step-by-step explanation:

Answer:

3 ) Acute

Step-by-step explanation:

Acute Angle - An angle less than 90 degrees.

Right Angle - An angle that is exactly 90 degrees.

Obtuse Angle - An angle more than 90 degrees and less than 180 degrees.

Straight Angle - An angle that is exactly 180 degrees.

Answer:

3)Acute

Step-by-step explanation:

any angle that is under a 90 degree angle or a right angle, is an acute angle. any angle that is above 90 degrees or a right angle is an obtuse andgle

Answer: 3/6

Step-by-step explanation:

Answer:

The answer is 3

Answer:

12

Step-by-step explanation:

5^2 + x^2 = 13^2

x = 12

Answer:

12

Step-by-step explanation:

Use Pythagorean theorem

[tex]a^2 +b^2 =c^2[/tex]

c= always hypotenuse/ longest side/ side across from right angle = 13

a= 5

[tex]5^2+b^2=13^2[/tex]

[tex]25+b^2=169[/tex]

Subtract 25 from 169

[tex]b^2= 144[/tex]

Square root both sides

b= 12

--------

it's also a special triangle known as a 5, 12, 13 triangle

Answer:

2.9 km

Step-by-step explanation:

Just add up the two distances:  2.3 km + 600 m = 2.3 km + 0.6 km = 2.9 km total

Answer:

D

Step-by-step explanation:

-22°F+27°F=5°F

have a nice day or evening

Answer:

D

Step-by-step explanation:

I took the test

Answer:

Not sure if these are the fractions, tell me if they are wrong.

8/8 = 1

3/3 = 1

30/10 = 3

9/3 = 3

Answer:

false

Step-by-step explanation:

a parallelogram is defined as a four sided figure with opposing sides parallel. So, a rectangle counts as a parallelogram, but all of its sides aren't equal