find the vertex for the function:
y = 6(x + 3)^2 - 1

Answer:

135

Step-by-step explanation:

Use formula b(h) which is 9x15 and get 135

Answer:x=-15

Step-by-step explanation:

2x+35-5=0

-35 +5. -35 +5

2x=-30

/2 /2

X=-15

Combined surface area for the 8 prisms is: 3,040 square centimeters.

3,500 cm² > 3,040 cm², therefore, Sasha has enough cloth for the design.

Surface area = (b1 + b2)h + PH

Given the following dimensions:

Plug in the values into SA = (b1 + b2)h + PH:

Surface area = (5 + 15)7 + (40)(6)

Surface area = 380 sq. cm.

Combined surface area for the 8 prisms = 380 × 8 = 3,040 square centimeters.

3,500 cm² > 3,040 cm², therefore, Sasha has enough cloth.

Learn more about surface area of trapezoidal prism on:

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Answer:

The combined surface area of the prisms is 3040 cm², therefore Sasha does have enough cloth for her current design.

Step-by-step explanation:

7 + 6 = 13                (Length + Height)

13 x 5 = 65              side a (h + l)

15 x 13 = 195           side b (h+l)

10 x 6 = 60             side c x length

10 x 6 = 60             side d x length

All of the above added together is 380, one trapezoidal prism.

380 x 8 = 3040

I also did the quiz.

Answer:

130.5 mi sq

Triangle: A = bh/2

A = ((21 - 12) x (3))/2

A = (9 x 3)/2 = 13.5 mi sq

Middle rectangle: A = bh

A = (6 + 3)(15 - 3)

A = (9)(12) = 108 mi sq

Last rectangle: A = bh

A = 3 x 3 = 9 mi sq

TOTAL: 13.5 + 108 + 9 = 130.5 miles sq

Have a good night!

Answer:

See below

Step-by-step explanation:

A binomial distribution has the value of x representing the number of successes in n​ trials, while a geometric distribution has the value of x representing the first trial that results in a success.

Answer:

9 ft.

Step-by-step explanation:

Rectangular Prism’s Volume:

[tex]\displaystyle \large{V=\sf{width*length*height}}[/tex]

Given:

width = 2.1 ft

length = 4 ft

height = j

volume = 75.6 cubic feet

Therefore, apply given information in the formula:

[tex]\displaystyle \large{75.6=2.1*4*j}\\\displaystyle \large{75.6=8.4j}[/tex]

Divide both sides by 8.4 to solve for j.

[tex]\displaystyle \large{\dfrac{75.6}{8.4}=\dfrac{8.4j}{8.4}}\\\displaystyle \large{\dfrac{75.6}{8.4}=j}\\\therefore \displaystyle \large{j=9}[/tex]

Henceforth, the value of j is 9 feet.

Answer:

Step-by-step explanation:

g( x ) = f ( x + 2 )

g(x) = ( x + 2 )² - 6 ( x + 2 )

g(x) = x² + 4x + 4 - 6x - 12

g(x) = x² - 2x - 8

Answer:

I  think i'm wrong i think it is C

Step-by-step explanation:

The formula for an inverse proportion, knowing that its graph goes through the point: C(-25, -0.2) is y=5/x.

Let m and n are two variables.

Then m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

(both are equal)

where c is a constant number called constant of proportionality.

This inversely proportional relationship is denoted by

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

The formula for the inverse function is given as,

[tex]y=\dfrac{c}{x}[/tex]

Here, c is constant.

The graph goes through the point: C(-25, -0.2). For the inverse function.

[tex]-25\propto\dfrac{1}{-0.2}\\-25=\dfrac{c}{-0.2}\\c=-25\times-0.2\\c=5[/tex]

Put the value in the above function,

[tex]y=\dfrac{5}{x}[/tex]

This is the required function.

Hence, the formula for an inverse proportion, knowing that its graph goes through the point: C(-25, -0.2) is y=5/x.

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2000 pounds =1ton

to convert just take the number of pounds and divide by 2000 (eg: 3000 pounds divided by 2000 will give you 1.5tons)

[2000pounds = 1ton]

1.5x2000 =3000(this is to go from ton to pound

just multiply the tons by 2000

hope this helps

Answer:

  6 feet

Step-by-step explanation:

Corresponding vertices of the congruent triangles are listed in the same order in the congruence statement. Given that ΔABC ≅ ΔDEF, that means vertices A and B correspond to vertices D and E.

Segment DE will have the same length as segment AB, 6 feet.

Answer:

6

Step-by-step explanation:

The lateral area of the triangular prism is: 720 in.²

The surface area of the triangular prism is:  840 in.²

Lateral area of a triangular prism (AL) = (a+b+c)h

Surface area of a triangular prism (SA) = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh

a. Lateral area of a triangular prism:

Lateral area of triangular prism (AL) = (8 + 15 + 17)18 = 720 in.²

b. Surface area of a triangular prism:

Surface area of triangular prism (SA): (S1 + S2+ S3)L + bh = (8 + 15 + 17)18 + (8)(15) = 840 in.²

Learn more about triangular prism on:

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You gave little context, so here is a few solutions.

POSSIBLE #1:

assuming s is a variable

---> Simplify  [tex]12S[/tex] × [tex]16[/tex] to [tex]192S[/tex]

[tex]4x-192S+8x[/tex]

--->  Collect like terms.

[tex](4x+8x)-192S[/tex]

---> Simplify.

[tex]12x-192S[/tex]

POSSIBLE #2: (assuming s is not relevant)

Simplifying

4x + -12 = 16 + 8x

Reorder the terms:

-12 + 4x = 16 + 8x

Solving

-12 + 4x = 16 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.

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

Combine like terms: 4x + -8x = -4x

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

Combine like terms: 8x + -8x = 0

-12 + -4x = 16 + 0

-12 + -4x = 16

Add '12' to each side of the equation.

-12 + 12 + -4x = 16 + 12

Combine like terms: -12 + 12 = 0

0 + -4x = 16 + 12

-4x = 16 + 12

Combine like terms: 16 + 12 = 28

-4x = 28

Divide each side by '-4'.

x = -7

Simplifying

x = -7

If there are any other ways to solve this please add more context in the comments below this answer! Hope this was helpful! Have a marvelous day/night!

Answer:

On the first day of school his teacher, Miss Mdingane, gave each of the students an English name. This was the custom among Africans in those days and was undoubtedly due to the British bias of education. That day, Miss Mdingane told him that his new name was Nelson.

Answer:

48.8

Step-by-step explanation: The equation for the area of a circle is π*r², since the base of a cylinder is a circle we take the equation of a circle and multiply the height of the cynlinder by using the equation π*r²*h to get the volume of a cylinder. In this case our factors are

π= 3.14

r²= 6.76  

h=2.3

3.14*6.76*2.3=48.82072

rounded to the nearest tenth=48.8

Hope this helps you!

Mark me brainleast!!!!!

Answer:

880 brown loaves

Step-by-step explanation:

Create a ratio of brown loaves to total loaves by adding the the current ratio, 4:5 together.

4 + 5 = 9.

Now create the new ration of brown loaves to total loaves.

5:9

Next make a proportion using brown (numerator) to total (denominator).

Then cross multiply and divide.

[tex]\frac{5}{9} = \frac{b}{1584}[/tex]

[tex]9b = 7920\\\frac{9b}{9} =\frac{7920}{9} \\b=880[/tex]

Answer:

See below

Step-by-step explanation:

8.2 + 2/3w  = 10.7 + 1/6 w

   1/2 w    = 2.5

      w = 5 weeks

Answer:

0.77777777777 or simplified to 0.8

Step-by-step explanation:

Answer:

look below

Step-by-step explanation:

The common ratio is 1:4 because we are multiplying the previous number by 4

The nth term for this sequence is quite simple. To find the nth term, take the base, 3, and multiply by the nth 4th. This can be written as 3*4^n+1

I hope this helped!

It would be greatly appreciated if you marked this answer as brainliest!

Answer:

see explanation

Step-by-step explanation:

the sequence is geometric and has common ratio r

(a)

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{12}{3}[/tex] = 4

(b)

the nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 3 and r = 4 , then

[tex]a_{n}[/tex] = 3 . [tex]4^{n-1}[/tex]

Answer:h=120 - (120•1/4)

Step-by-step explanation:

Answer:

i think its 100feet away when u look 20°

Answer:

50.24

Step-by-step explanation:

8/2 = 4

3.14 x 4^2 = 50.24

Answer:

43.98229 ft

Step-by-step explanation:

The diameter is 14ft, meaning the radius, which is half of it, is 7ft. Plug 7 into the r. C= 2pi(7) which 14pi. Now you multiply 14 by 3.14, which is the value of pi, and round it to whatever you need to give you your value.

The value of circumference of this circle is,

⇒ circumference = 14π ft

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Diameter = 14 ft

Hence, We get;

Radius = 7 ft

Thus, The value of circumference of this circle is,

⇒ circumference = 2πr

⇒ circumference = 2 × π × 7

⇒ circumference = 14π ft

Thus, The value of circumference of this circle is,

⇒ circumference = 14π ft

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Answer:

18

Step-by-step explanation:
given that the eggs cost 16ct in 1990 and 22ct in 1992 you can calculate

16ct+2ct=18ct and 22ct-4ct=18ct

see this vid for full explanation

Answer:

21120 Feet

6.437376 Kilometer

Step-by-step explanation:

Looked it up

Answer:

7040 yd and 21120 ft

Step-by-step explanation:

1 mile = 1760 yards

1 yard = 3 feet

4*1760=7040 yards per day

7040*3=21120 feet per day