17. DIG DEEPER! The houses are identical.

Pls help me answer B and C.
(picture above)​

Answer:

The answer would be 7ft.

Step-by-step explanation:

Let the radius of the cylinder be rft. and its height be hft. Again the radius of the larger cylinder is R ft and its height is H ft. Given h = 5 ft.

As the cylinders are similar we can say   [tex]R/r[/tex] = [tex]H/h[/tex]

Now the volume of the smaller cylinder is  πr²h = 125

and that of larger one is   πR²H = 343

SO  πR²H/πr²h = 343/125

⇒ H²/h² × H/h = 343/125

⇒ H³/h³ = 7³/5³

⇒ H/h = 7/5

⇒ H =  7/5 × h = 7/5 × 5 = 7ft

Hope this Helped:)

Answer:

30x^4−12x^3=6x^3(5x−2) = True

4x^2+10x=2x(2x+5) = True

100x^3+5=5x^3(20x+1) = False

8x^3−6x=2x^3(4−3x3) = False

Step-by-step explanation:

The statements which are true are 30x4−12x3=6x3(5x−2) ,  4x2+10x=2x(2x+5)  and  100x3+5=5x3(20x+1)

To determine which of the statements are true, we can simplify each equation and compare.

Option a :

30x4−12x3=6x3(5x−2): Factoring out the common term we can see this equation is true.
Option b:

4x2+10x=2x(2x+5): After simplifying both sides we find that 2x(2x + 5) = 4x2 + 10x, so statement (b) is true.

Option c:

100x3+5=5x3(20x+1): Attempt to simplify this equation as 5x3(20x + 1). Since this simplification holds, statement (c) is also true.

Option d:

8x3−6x=2x3(4−3x3): Simplifying the right side does not give us the left side; thus, statement (d) is false. The correct form would be 2x(4x2 - 3), assuming a typo in exponent notation.

Answer:(1,2), (2,4), (3,6), and alot more here is the graph so you can see!

Step-by-step explanation: hope this helps have a great day!

Answer:

The cubed-root of v (/v)

Step-by-step explanation:

Like your work on the second question illustrated, the cubed root of v (which is 216) is your expression for the edge length of the box in inches.

Hope this helps!

Step-by-step explanation:

Part A

Since volume of jewelry box is v cubic inches

Therefore,

Answer: Length of edge = v inches

Part B

Answer: 6 inches

Answer:

1 minute on the x-axis; 10 mph on the y-axis

Step-by-step explanation:

The distance between exit ramps is less than 6 miles and since you are traveling at 70 mph on the highway you should get there in less than 5 mins, so the scale on the x-axis should be 1 minute. Since you have 10 tick marks on the y-axis and will be going at a speed of 70 mph at some point, the scale on the y-axis should be 10 mph (100 mph total). A good scale would be 1 minute on the x-axis; 10 mph on the y-axis.

Answer:

1 minute on the x-axis; 10 mph on the y-axis

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Apply the distributive property to 5(2x - 3y):

Multiply 5 by each term inside the parentheses.

5(2x - 3y) = 10x - 15y

The other expression is 10x - 10y.

The terms 10x in both expressions are equal.

Since the term -15y is not equal to the term -10y, the expressions are not equivalent.

Answer:

50%

Step-by-step explanation:

You can figure out the percentage that it is off by diving the price it is not at (12) by the full amount (24) and then multiplying it by 100 because it is a percent.

(12/24)= 0.5

(0.5)*(100)= 50%

Answer:

y=−113x−323

Step-by-step explanation:

there u go

Answer:

[tex](fg)(7) = - 35[/tex]

Step-by-step explanation:

The given functions are:

[tex]f(x) = {x}^{2} - 14[/tex]

and

[tex]g(x) = 6 - x[/tex]

We want to to find

[tex](fg)(7)[/tex]

Note that:

[tex](fg)(x) = f(x) \times g(x)[/tex]

We substitute the functions to obtain:

[tex](fg)(x) = ( {x}^{2} -1 4 ) \times (6 - x)[/tex]

We now substitute x=7, to get:

[tex](fg)(7) = ( {7}^{2} -1 4 ) \times (6 - 7)[/tex]

This implies that

[tex](fg)(7) =( 49-1 4 ) \times (6 - 7)[/tex]

[tex](fg)(7) = 35 \times - 1 = - 35[/tex]

Answer:

$1.40

Step-by-step explanation:

Divide 4.20 by 3.

Answer:

$1.4

Step-by-step explanation:

The price of one hamburger will be equal to the total price of the hamburgers divided by the number of hamburgers .

Therefore $4.20/3

$1.4

So each hamburger cost $1.4

Answer:

  P'(-3, 5)

Step-by-step explanation:

The transformation for a 90° rotation CCW is ...

  (x, y) ⇒ (-y, x)

  (5, 3) ⇒ (-3, 5)

The coordinates of the rotated point are (-3, 5).

Answer:

27

Step-by-step explanation:

jacob copies 30% of a document which is 8 pages

we can solve this using cross multiplication

30 %       :        8

100%      :         x

30%x = 100%*8

30% x = 8

x = 8/ 30%

x = 26.667

to 2sf

Answer:

C

Step-by-step explanation:

I chose C and got it right.

Answer:

y=2/4x+9

Step-by-step explanation:

Answer:-6x+12

Step-by-step explanation:-3 • 2x = -6x

-3 • -4 = 12. Distribute the -3 to both numbers in the parentheses

Answer:

$112

Step-by-step explanation:

Answer:

the distance formula is just the pythagorean theorem, A^2+B^2=C^2, or the distance, C=sqrt(A^2+B^2). In order to find any point between 50 and 60 units away, simply choose a set of coordinates that will satisfy the equation using the given point, (7, -2), where abs(7-x) is A and abs(y-2) is B. for example, let x =60 and y=0, then C=sqrt(53^2+(-2)^2) =52.96 ish. which is between 50 and 60.

Step-by-step explanation:

Answer:

x = 8/3

Step-by-step explanation:

3x - 1 = 7

3x = 8

x = 8/3

Answer:

the number is 8/3 (= 2 2/3)

Step-by-step explanation:

let the number be x

"3 times a number" --> 3x

"one less than 3 times a number" --> (3x - 1)

"one less than 3 times a number is 7" --> (3x - 1) = 7  (solve for x)

3x - 1 = 7    (add 1 to both sides)

3x = 7 + 1

3x = 8   (divide both sides by 3)

x = 8/3

Answer:

191/224

Step-by-step explanation:

1991+33= 224

191/224

Answer:

191/240\

Step-by-step explanation:

The solution to the compound inequality is x > -2 and x < -5, or (-∞, -5) ∪ (-2, ∞).

To find the solution to the compound inequality, we need to solve the individual inequalities separately and then find the intersection of their solution sets.

The solution to the compound inequality is the intersection of the solution sets of the individual inequalities, so the solution is x > -2 and x < -5. To express this in interval notation, we write (-∞, -5) ∪ (-2, ∞).

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Answer:B) 81

Because it cannot be divided into two equal figures.

Let [tex]v[/tex] be the usual speed, and [tex]t[/tex] be the usual time.

Following the equation [tex]s=vt[/tex], where s is the space, v is the velocity and t is time, we know that usually we have

[tex]200=vt[/tex]

But this time we were 10mph faster and it took one hour less, so we have

[tex]200=(v+10)(t-1)[/tex]

Since both right hand sides equal 200, they must equal each other:

[tex]vt=(v+10)(t-1)=vt+10t-v-10 \iff 10t-v-10=0 \iff v=10t-10[/tex]

Plug this value in the first equation and we have

[tex]200=vt=(10t-10)t \iff 10t^2-10t-200=0[/tex]

This equation has solutions [tex]t=-4,\quad t=5[/tex]. We can only accept positive solutions, so we have t=5. We finally deduce, again from the first equation,

[tex]200=5v \iff v=\dfrac{200}{5}=40[/tex]

Answer:

Perpendicular lines are lines that cross one another at a 90° angle. They have slopes that are opposite reciprocals of one another. Unlike parallel lines that never touch, perpendicular lines must intersect.

Therefore, the shape with 2 lines that don't intersect/touch each other, is the shape that does not have perpendicular lines.

Answer:

  D. 2/7

Step-by-step explanation:

We assume that the intention is that one of the places is chosen at random from the list of 7 places.

2 of those are cities in North America, so the probability that a place randomly chosen from this list is a city in North America is ...

  P(A & B) = 2/7

Answer: 4/7

Step-by-step explanation:

Answer: [tex]x^{2} - 6x +6 = 0[/tex]

Step-by-step explanation:

The formula for finding quadratic equation is given as :

[tex]x^{2}[/tex] - sum of roots[tex](x)[/tex] + product of roots = 0

sum of roots implies :

(3-√3)+(3+√3) =6

product of roots implies :

(3-√3) x (3+√3) = 9 +[tex]3\sqrt{3}[/tex] - [tex]3\sqrt{3}[/tex] - 3

(3-√3) x (3+√3) = 6

substituting into the equation we have:

[tex]x^{2} - 6x +6 = 0[/tex]

Answer:

231 miles.

Step-by-step explanation:

Tom rented a truck with a base fee of 19.95. You will subtract this from the total since you just want to get the mileage.

Tom is getting charged .85 cents per mile driven.

Tom payed 216.30 subtotal minus the 19.95 base fee since we are trying to only see how many miles he drove.

(216.30-19.95=196.35) This will be total for each mile. All we need to do is divide to get the total of miles

(196.35÷.85= 231)

231 is the number of miles Tom drove.

[tex](5x+2)(7x-2)[/tex]

Applying distributive property:

[tex]5x\cdot \:7x+5x\left(-2\right)+2\cdot \:7x+2\left(-2\right) \\ \\ 35x^2-10x+14x-4[/tex]

Combining like terms:

[tex]\boxed{35x^2+4x-4}[/tex]

[tex](5p-5)(7p+6)[/tex]

Applying distributive property:

[tex]5p\cdot \:7p+5p\cdot \:6+\left(-5\right)\cdot \:7p+\left(-5\right)\cdot \:6 \\ \\ 35p^2+30p-35p-30[/tex]

Combining like terms:

[tex]\boxed{35p^2-5p-30}[/tex]

[tex](n-7)(3n+1)[/tex]

Applying distributive property:

[tex]n\cdot \:3n+n\cdot \:1+\left(-7\right)\cdot \:3n+\left(-7\right)\cdot \:1 \\ \\ 3n^2+n-21n-7[/tex]

Combining like terms:

[tex]\boxed{3n^2-20n-7}[/tex]

The figure below shows the result of each case.