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3 years ago

9

The length of an object in feet is equal to 3 times its length in yards. The length of a water slide is 48 feet. Write and solve

a multiplication equation to find the length of the water slide in yards.

1 answer:

jolli1 [7]3 years ago

7 0

Answer:

144

Step-by-step explanation:

2

48 8x3=24 8 16 24

x 3 4x3=12+2=14 4 8 12 13 14

____

144

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Find an equation for the nth term of a geometric sequence where the second and fifth terms are -2 and 16, respectively.

Tju [1.3M]

Hello :
<span>the nth term of a geometric sequence is :
Un = Up ×r^(n-p) . r is the common ratio
for : p=5 and n= 2
U5 = U2 ×r^3
16 = -2 r^3
r^3 = -8
but : -8 = (-2)^3
so : r = -2
Un = U2 × r^(n-2)
Un = -2 ×(-2)^(n-2)= (-2)^(n-2+1)

</span><span>the nth term of a geometric sequenceis : Un = (-2)^(n-1)</span>

4 0

3 years ago

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The total price of an article is $7.02, including tax. If the tax rate is 8%, what is the retail price of the article?

masya89 [10]

Lets price of article = x
Tax is 8% of article = 0.08x

x+0.08x=7.02
1.08x=7.02
x=7.02/1.08
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3 years ago

Does the equation 2x-7=5+x have exactly one solution

Goshia [24]

Answer:

12

Step-by-step explanation:

2x - 7 =5 +x

2x - x =5 +7

x =12 (one solution)

4 0

2 years ago

Let B be the basis of P3 consisting of the Hermite polynomials in Exercise 21, and let p.t / D 7 ! 12t ! 8t 2 C 12t 3. Find the

Anastasy [175]

To calculate the relative vector of B we have to:

$P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right]$

The coordenates of:

$p(t)= 12t^3-8t^2-12t+7$ , with respect to B satisfy:

$C_1(1)+C_2(2t)+C_3(-2+4t^2)+C_4(-12t+8t^3)= 7-12t-8t^2+12t^3$

Equating coefficients of like powers of t produces the system of equation:

$\left \{ {C_1-2C_3=7} \atop {2C_2-12C_4=-12} \right. \\\left \{ {{4C_3=-8} \atop {8C_4=12}} \right.$

After solving this system, we have to:

$C_1=3\\C_2= 3\\C_3= -2\\C_4= \frac{3}{2}$

And the result is:

$P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right]$

Learn more: brainly.com/question/16850761

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2 years ago

8x + 1 ≤ 9 + 6x ≤ 5 + 10x

Andreas93 [3]

Answer:

x = -19

Step-by-step explanation:

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2 years ago