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3 years ago

Check image for question

Mathematics

2 answers:

MrRissso [65]3 years ago

8 0

Answer:

a. 18

Step-by-step explanation:

a= 2

b= 3

$ab^{2} =(2)(3)^{2} =2(9)=18$

Hope this helps

alexgriva [62]3 years ago

3 0

b.36 is the answer 

let a=2 , and b = 3 then 2×3^2 = 36 

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A flower shop ordered 1,176 flowers to make bouquets. Each bouquet will have 12 flowers. How many bouquets can the flower shop m

nadya68 [22]

Answer: B.98

Step-by-step explanation:

all you have to do is divide 1,176 by 12.

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3 years ago

Use chain rule to find dw/dt w=ln(x^2 + y^2 + z^2)^(1/2) , x=sint, y=cost, z=tant

son4ous [18]

The chain rule states that

$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{\partial w}{\partial x}\dfrac{\mathrm dx}{\mathrm dt}+\dfrac{\partial w}{\partial y}\dfrac{\mathrm dy}{\mathrm dt}+\dfrac{\partial w}{\partial z}\dfrac{\mathrm dz}{\mathrm dt}$

Since $\ln(x^2+y^2+z^2)^{1/2}=\dfrac12\ln(x^2+y^2+z^2)$ , you have

$\dfrac{\partial w}{\partial x}=\dfrac x{x^2+y^2+z^2}$
$\dfrac{\partial w}{\partial x}=\dfrac y{x^2+y^2+z^2}$
$\dfrac{\partial w}{\partial z}=\dfrac z{x^2+y^2+z^2}$

and

$\dfrac{\mathrm dx}{\mathrm dt}=\cos t$
$\dfrac{\mathrm dy}{\mathrm dt}=-\sin t$
$\dfrac{\mathrm dz}{\mathrm dt}=\sec^2t$

Also, since $x^2+y^2+z^2=\sin^2t+\cos^2t+\tan^2t=1+\tan^2t=\sec^2t$ , the derivative is

$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{\sin t\cos t}{\sec^2t}-\dfrac{\sin t\cos t}{\sec^2t}+\dfrac{\tan t\sec^2t}{\sec^2t}$
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3 years ago

Please help ASAP I NEED THIS TOMORROW!!!

Mama L [17]

She will pay 90 because the income is 5 times greater
(answer o number one)

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3 years ago

Nd the 52nd term and the term named in the problem 40, 140, 240, 340, ... Find a 32

Galina-37 [17]

Answer:

5140 and 3140

Step-by-step explanation:

Note there is a common difference d between consecutive terms in the sequence, that is

d = 140 - 40 = 240 - 140 = 340 - 240 = 100

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 40 and d = 100, thus

$a_{52}$ = 40 + (51 × 100) = 40 + 5100 = 5140

$a_{32}$ = 40 + (31 × 100) = 40 + 3100 = 3140

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3 years ago

On a scale drawing inch = 1 foot. What are the dimensions on the scale for a room that is 27 feet by 20 feet?

Rufina [12.5K]

If 1 inch = 1 foot then 1 foot = 1 inch.
With this, you can make a ratio of 1 foot:1 inch, or 1:1.
Starting with the first dimension, 27 feet, just change the 1 to 27 in the ratio.
27:?
To find how many inches this is in the scale drawing, find how much 1 had to be multiplied by to get to 27. This is 27, since anything times 1 is itself.
Just multiply the other side by 27 as well to get the answer for the first dimension.
1 • 27 = 27
So 27 feet = 27 inches in the scale drawing.
Now do the same for the second dimension.
1:1
20:?
1 • 20 = 20
20:20
The answer is that the scale drawing has dimensions of 27 inches by 20 inches if 1 inch = 1 foot is the scale

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3 years ago