These cones are similar. Find the volume
of the smaller cone. Round to the
nearest tenth.

Answer:

3x³ - 10x² + 14x - 12

Step-by-step explanation:

(3x² - 4x + 6) × (x - 2)

3x³ - 4x² + 6x - 6x² + 8x - 12

3x³ - 10x² + 14x - 12

Thus, the product of 3x² - 4x + 6 and x - 2 in standard form is 3x³ - 10x² + 14x - 12

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length of the rectangle

w is the width

From the question

length of a rectangular picture is 5 inches more than three times the width is written as

l = 5 + 3w

Now substitute this into the above equation

Perimeter = 74 inches

74 = 2(5 + 3w) + 2w

74 = 10 + 6w + 2w

8w = 74 - 10

8w = 64

Divide both sides by 8

w = 8 inches

Substitute w = 8 into l = 5 + 3w

That's

l = 5 + 3(8)

l = 5 + 24

l = 29 inches

Hope this helps you

Answer:

Hey there!

5300+3500=8800

20000-8800=11200

1.055x=11200

x can be at most 10616 dollars.

Hope this helps :)

Answer:

36.

Step-by-step explanation:

The perimeter = 2 * length + 2 * width, so we have:

2(2x - 1) + 2(3x + 3) = 114

4x + 6x - 2 + 6 = 114

10x = 114+ 2 - 6 = 110

x = 11.

So the length = 3(11) + 3

= 36.

Answer:

56 [tex]in^2[/tex]

Step-by-step explanation:

We can first break this down into 2 smaller rectangles.

1x2x4 rectangle

4x3x4 rectangle.

Then we can find out the area of each, and we get 8+48 = 56.

You also could find this out by subtracting the area that is missing.

Answer:

The volume of the container is 56 in^3

Step-by-step explanation:

To solve, I split this figure vertically at the corner between the two steps. We know that the formula for volume of a container is V= l*w*h. The first, smaller portion of the container has a length of 4, a width of 1, and a height of 2. 4*1*2= 8 in^3

The second, larger portion of this container has a length of 4, (look at the side of the first portion), a width of 3, (4-1=3), and a height of 4. 4*3*4= 48 in^3.

Finally, add together the volumes of the two portions and that is the volume of the whole figure. V= 56 in^3

Answer:

Solution: The general form of the line on a graph is y = mx+c,

where y is the coordinate of the point along the y-axis,

x is the coordinate of the point along the x-axis,

m is the slope of the line or arc tan of the angle the line makes with the x-axis, and

c is the intercept the line makes on the y-axis.

Suppose we want a line having a slope of 45º with the x-axis and passes through point P (4,6), the equation of the line is

y = mx + c

6 = tan 45 * 4 + c, or

6 = 4 + c, or

c = 6–4 = 2.

Answer:

1

Step-by-step explanation:

(-3 + 3) + (-2 + 3) =

= 0 + 1

= 1

Answer:

The answer is "[tex]x^{\frac{5}{3}}y^{\frac{1}{3}}[/tex]"

Step-by-step explanation:

Given value:

[tex]\to \bold{ \sqrt[3]{x^5y} }[/tex]

[tex]\to \sqrt[3]{x^5y} =(x^5y)^{\frac{1}{3}}[/tex]

formula:

[tex]\bold{(a.b)^n=a^nb^n}[/tex]

[tex]\to (x^5y)^{\frac{1}{3}}= x^{\frac{5}{3}}y^{\frac{1}{3}}[/tex]

The final value is:  [tex]\boxed{\boxed{ x^{\frac{5}{3}} \cdot y^{\frac{1}{3}}}}[/tex]

Ans: (1/2)218 = 109

----

Closest to that is 104

Answer:

B. 104

Step-by-step explanation:

It would make the most sense if it were somewhere in the middle since flipping a coin has a 50% chance of being heads.

B. 104 is closest to the absolute middle of 218, therefore, it would be the most accurate.

Answer:

2

Step-by-step explanation:

Use PEMDAS

First simplify the exponent (9)

Next multiply 5 and 3 (15)

Now add 15 and 15 (30)

Add 9 and 6 (15)

Lastly simply 30 by 15 (2)

Answer:

[tex]\boxed{A. 2}[/tex]

Step-by-step explanation:

Hey there!

Well we first need to solve the top part.

15 + 5 * 3

5*3 = 15

15 + 15 = 30

3^2 + 6

3*3 = 9

9+6 = 15

Now we have 30 ÷ 15 = 2.

Hope this helps :)

Answer:

70

80

Step-by-step explanation:

Assuming these ratios stay consistent, if each plant recycled 350 total bottles in a day, plant B would recycle___70____ more red bottles than plant A. Plant C would recycle_____80___________ more red bottles than plant D.

A = We first multiply 150 x 2.333 (2 1/3)  = 350 tbottles 60 x 2.333 = 140

B = Then multiply  350/200  = 200 x 1.75 350 tbottles  RED = 120 x 1.75=210

First answer = 210-140 = B recycles 70 more than A

C = We first multiply 175 x 2 = 350 tbottles  RED = 110 x 2 = 220

D = We first find LCM of 180 and 350

Then find 18x now equals 1/10 x 35x tbottles RED = 72 / 18 = 4  then 4 x 35 = 140

Second answer = 220-140 = C recycles 80 more than D.

Answer:

Plant B would recycle 60 more red bottles than plant A. Plant C would recycle 38 more red bottles than plant D.

Hope this helps!

Sorry for answering so late!

Answer:

-3/4

Step-by-step explanation:

slope is rise over run so you go down 3 first is is -3, and then right 4 times which  means the slope is -3/4

Answer:

The 2nd number in the sequence is [tex]2\left(\frac{100}{12}\right)+2[/tex]

Step-by-step explanation:

Let the six even numbers be 2x,2x+2,2x+4,2x+6,2x+8,2x+10

We are given that The sum of 6 even integers is 130.

So,2x+2x+2+2x+4+2x+6+2x+8+2x+10=130

12x+30=130

12x=100

[tex]x=\frac{100}{12}[/tex]

So,the 2nd number in the sequence is [tex]2\left(\frac{100}{12}\right)+2[/tex]

Answer:

C=252

Step-by-step explanation:

Given:

x^5y^5

(x+y)^10

Find the coefficient of x^5y^5

To get the coefficient of x^5y^5,

we will put r = 5, in the below given general term.

The general term is : nCr =x^ry^n-r

We get:

Coefficient is = 10C5

= 10!/5!*5!

= 252

The coefficient of x^5y^5 is 252

C. 252

The volume of the pyramid is 1,280 cubic feet. Thus, the correct option is A.

Let h be the height of the pyramid, l be the slant height, and A be the base area of the pyramid. Then the volume of the pyramid will be given as,

Volume = (1/3) × A × h

The slant height is given as,

l² = (half of the side)² + h²

Given that:

Slant height, l = 17 ft

Side length, a = 16 ft

The height of the pyramid is calculated as,

17² = (16/2)² + h²

h = 15

The volume of the pyramid is calculated as,

V = 1/3 x 16 x 16 x 15

V = 256 x 5

V = 1,280 cubic feet

Thus, the correct option is A.

More about the volume of the pyramid link is given below.

https://brainly.com/question/17615619

#SPJ3

Answer:

69

Step-by-step explanation:

Hey there! I'm happy to help!

The vertex form of a parabola is y=a(x-h)²+k. The h represents the horizontal transformation, while the k represents the vertical. The vertex of a parabola in this form is (h,k). The a represents a vertical stretch or shrink.

Our parabola is y=(x+1)²+2. This is already in vertex form, so we do not need to change the equation. There is no a (basically a=1), which means that the parabola has not been stretched or shrunk from its parent form.

We see that the h is -1. This is because in the original equation it is (x-h)², so it has to be -1 because the two negatives make a positive which is the +1. (x--1)=(x+1).

We see that the k value is 2.

Since the vertex is (h,k), this vertex is (-1,2).

However, we have to shift the parabola 7 units to the right and 5 units down. So, we add 7 to the x-value and subtract 5 from the y-value of the vertex.

(x,y)⇒(x+7,y-5)

(-1,2)⇒(6,-3)

Therefore, the vertex of the resulting parabola is (6,-3).

Have a wonderful day! :D

Answer:

H(2)= 0 , so x = 2 is the correct answer

Step-by-step explanation:

Given:

H(x)= -|x+1| + 3

Computation:

By putting x = 0,1,2

H(x)= -|x+1| + 3

H(0)= -|0+1| + 3

H(0)= -1 + 3

H(0)= 2

H(x)= -|x+1| + 3

H(1)= -|1+1| + 3

H(1)= -2 + 3

H(1)= 1

H(x)= -|x+1| + 3

H(2)= -|2+1| + 3

H(2)= -3 + 3

H(2)= 0

Answer:

5

Step-by-step explanation:

12 - 7 = 5

Using Pythagoras Theorem

Hyp² = Adjacent² + Opp²

13² = d² = 12²

d² = 13² - 12²

d² = 169 - 144

d² = 25

d = √25

d = 5

The correct answer is 5, OPTION C IS CORRECT

Answer:

(1.222, -2.444)

Step-by-step explanation:

I hope you can understand the question now

Answer:

= 48 miles/hour

Step-by-step explanation:

Speed=distance/time

Speed = 36/0.75

If you want to set up the equations:

let the cost of one apple cheesecake be [tex] a[/tex] and the cost of one pecan cheesecake be $p$

from Abby, $14p+3a=113$

and from Katy....?

then solve for both variables

can you take it from here?

For the next 25-year period,(CPI) is increased by only 1% due to Inflation and Stagnation.

What is Stagnation ?

Stagnation is a situation of slow economic growth and relatively high unemployment (which basically means that aggregate production is reducing and some of the inputs of the economy, such capital or labor, are unemployed) , accompanied by rising prices, or inflation.

In terms of national accounting, it means a reduction in gross domestic product (GDP), with inflation (rise in all prices in the economy).

In terms of aggregate demand and supply models, stagnation is the result of a contraction of aggregate supply, which ceteris paribus, results in lower levels of production and higher prices.

Many theories have tried to explain this phenomena. Common interpretations link stagnation with and increase of the cost of production in the economy (that might be generated by an increase of gasoline for example), and its implications in the production (lower production because of higher costs), consequently unemployment and a rise of prices due to the increase of cost.

Here, During a certain 25-year period, the consumer price index (CPI) increased by 99% and during the next 25-year period, it increased by only 1% which shows slow economic growth which can be due to Inflation and Stagnation.

​Learn more about "Inflation" here:

https://brainly.com/question/28190771

#SPJ2

Answer:

8!

Step-by-step explanation:

SIMPLIFY

6X-12=4X+4

PUT LIKE TERMS TOGETHER

6X-4X=4+12

SIMPLIFY

2X=16

X=16/2

X=8

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

        ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                       PEACE!

Hey there! I'm happy to help!

First, let's use the distributive property to remove the parentheses. We multiply the number on the outside by each number on the inside.

3(2x-4)

We multiply the 3 by the 2x, giving us 6x, and we multiply the 3 by the -4, giving is -12.

4(x+1)

We do 4 times x which is 4x, and 4 by 1, which is 4.

This gives us this equation.

6x-12=4x+4

Now, we want to solve for x. We want to move all the numbers to the right side and all the x's to the left side so we can figure out what x is equal to.

6x-12=4x+4

We add 12 to both sides, canceling it out on one side and adds it to the other to keep the equation at the same value.

6x=4x+16

We subtract 4x from both sides.

2x=16

We divide both sides by 2.

x=8

Have a wonderful day! :D

Answer:

3/10

Step-by-step explanation:

Sally has to run 5 laps(2000m)

One lap = 400m  

So we multiply 3.5( 3 1/2) [this the the distance Sally ran] by 400

The answer we get is 1400( this the total distance in meters she ran)

Next we subtract 1400( total distance she ran in meters) from 2000(total distance in meters she needs to complete.

The answer we get is 600 meters( this is the distance she is left with)

As a fraction is 600/2000

THE ANSWER REDUCED TO ITS LOWEST TERM IS 3/10.

Answer:

3/10

Step-by-step explanation:

Answer:

D). 137

Step-by-step explanation:

1). 40 % of 50 = 20

  50 + 20 = 70

2). 40 % 70 = 28

  70 + 28 = 98

3). 40 % of 98 = 39.2, basically 39

   98 + 39 = 137

137 is the right answer

Pls make my answer brainiest))))

Answer:

a. Side lengths of ΔBEX are;

BE = 15 ft.

EX = 12 ft.

BX = 9 ft.

b. Side lengths of XEFY are;

XY = 6 ft.

EX = 12 ft.

FY = 7.5 ft.

EF = 7.5 ft.

c. Side lengths of YFGZ are;

GZ = 6 ft.

FY = 7.5 ft.

YZ = 2 ft.

FG = 2.5 ft.

d. Side length of triangle ZGC

GZ = 6 ft.

GC = 10 ft.

ZC = 8 ft.

Step-by-step explanation:

The given parameters are;

XY : YZ : ZC  is 3 : 1 : 4

The length of BC = 25 in.

The length of EB = 15 in.

Therefore, EC = √(BC² - EB²) = √(25² - 15²) = √400 = 20 in.

Given that EX║ YF║GZ, we have;

EF : FG : GC is 3 : 1 : 4 (Parallel lines cut segments in equal proportions)

Therefore;

EF = 20 × 3/(3 + 1 + 4) = 7.5 ft.

FG = 20×1/8 = 2.5 ft.

GC = 20×4/8 = 10 ft.

EC/EX = BC/EB

20/EX = 25/15

EX = 15×20/25 = 12 ft.

XC = √(EC² - EX²) = √(20² - 12²) = 16

XY : YZ : ZC  is 3 : 1 : 4

Therefore;

XY = 16 × 3/8 = 6 ft.

YZ = 16 × 1/8 = 2 ft.

ZC = 16 × 4/8 = 8 ft.

GZ = √(GC² - ZC²) = √(10² - 8²) = 6

Area of triangle ΔZGC = 1/2×6×8 = 24 ft²

XB = BC - XC = 25 - 16 = 9 ft.

Area of ΔBEX = 1/2×9×12 = 54 ft²

a. Side lengths of ΔBEX are;

BE = 15 ft.

EX = 12 ft.

BX = 9 ft.

FY = √(FC² - YC²) = √((10 + 2.5)² - (8 + 2)²) = 7.5 ft.

Area of YFGZ = (GZ + FY)/2 × YZ = (6 + 7.5)/2 × 2 = 13.5 ft²

Area of YFGZ = 13.5 ft²

Area of XEFY = XY × (EX + FY)/2 = 6 × (12 + 7.5)/2 = 58.5 ft.²

b. Side lengths of XEFY are;

XY = 6 ft.

EX = 12 ft.

FY = 7.5 ft.

EF = 7.5 ft.

c. Side lengths of YFGZ are;

GZ = 6 ft.

FY = 7.5 ft.

YZ = 2 ft.

FG = 2.5 ft.

d. Side length of triangle ZGC

GZ = 6 ft.

GC = 10 ft.

ZC = 8 ft.

Answer:

No.

Step-by-step explanation:

The points from the table need to have a constant slope for the function to be linear.

Slope is rise over run.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

For (1,1) and (2,2):

[tex]m=\frac{2-1}{2-1}=\frac{1}{1}=\boxed{1}[/tex]

The slope is 1.

For (3,6) and (4,24):

[tex]m=\frac{24-6}{4-3}=\frac{18}{1}=\boxed{18}[/tex]

The slope is 18.

1 ≠ 18

Since the slopes of the points are no consistent, the table represents a nonlinear function.

Therefore,

The table does NOT represent a linear function.

Answer:

  90 in²

Step-by-step explanation:

The lateral area can be found using the formula ...

  LA = (1/2)Ph

where P is the perimeter of the base and h is the slant height. For your dimensions, the lateral area is ...

  LA = (1/2)(3×5 in)(12 in) = 90 in²

The lateral area is 90 square inches.

Answer:

[tex]\huge\boxed{r = 4.8\ cm}[/tex]

Step-by-step explanation:

Since it's a hemisphere, the volume will be:

Volume of Hemisphere = [tex]\frac{2}{3} \pi r^3[/tex]

Given that Volume of hemisphere = 230 cm³

230 = [tex]\frac{2}{3} \pi r^3[/tex]

Multiplying both sides by 3

230 * 3 = 2πr³

690 = 2πr³

Dividing both sides by 2π

690 / 2π = r³

r³ = 109.8

Taking cube root on both sides

r = 4.8 cm

Answer:

[tex]\large \boxed{\mathrm{4.79 \ cm}}[/tex]

Step-by-step explanation:

The volume of a hemisphere is half the volume of a sphere.

The formula for the volume of hemisphere is V = 2/3πr³.

The volume is given.

230 = 2/3πr³

Solve for r or radius.

Multiply both sides by 3/2.

230 × 3/2 = 2/3πr³ × 3/2

345 = πr³

Divide both sides by π.

(345)/π = (πr³)/π

109.816910733 = r³

Take the cube root of both sides.

∛(109.816910733) = ∛(r³)

4.78876002459 = r