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Elina [12.6K]
4 years ago
11

What is 532.60 × 8.53 with work included?

Mathematics
1 answer:
zalisa [80]4 years ago
6 0

        532.60

        x   8.53

--------------------------------

          159780

+      2663000

     42608000

---------------------------

      4543.0780

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Abigail's rectangular flower garden has a width of 4 1/4feet and an area of 12 3/4 square feet.
tresset_1 [31]

Answer:

3 feet long

Step-by-step explanation:

4 1/4x3=12 3/4

6 0
3 years ago
Triangle PQR has been dilated to form triangle P'Q'R'. What is the least amount of information needed to determine if the two tr
vampirchik [111]
For two triangles to be congruent, we need to show is two of the
1. corresponding angles are congruent,
or,
2. all three pairs of corresponding sides are proportional, 
or 
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Choice D saus, angles Q and Q' are congruent, angles R and R' are congruent, therefore satisfies the first criterion that at least two corresponding angles are congruent.


7 0
4 years ago
Read 2 more answers
A members-only speaker series allows people to join for $19 and then pay $4 for every
Lera25 [3.4K]

Answer: 3

Step-by-step explanation:

Let's create a model first.

The initial fee is $19 (this is our y intercept or b)

And the pay per is $4 (this is our variable or m)

y=mx+b

y= 4x+19

To find out what the maximum number of events someone can attend for $31, we plug in different number for the x value until it's less than or equal to $31

In this case, plugging in 3 for x gives us exactly $31

y=4(3)+19= 31

6 0
3 years ago
Find the directional derivative of f(x,y,z)=z3−x2yf(x,y,z)=z3−x2y at the point (−5,5,2)(−5,5,2) in the direction of the vector v
olga_2 [115]

We are given

f=z^3 -x^2y

Firstly, we can find gradient

so, we will find partial derivatives

f_x=0 -2xy

f_x=-2xy

f_y=0 -x^2

f_y=-x^2

f_z=3z^2

now, we can plug point (-5,5,2)

f_x=-2*-5*5=50

f_y=-(-5)^2=-25

f_z=3(2)^2=12

so, gradient will be

gradf=(50,-25,12)

now, we are given that

it is in direction of v=⟨−3,2,−4⟩

so, we will find it's unit vector

|v|=\sqrt{(-3)^2+(2)^2+(-4)^2}

|v|=\sqrt{29}

now, we can find unit vector

v'=(\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })

now, we can find dot product to find direction of the vector

dir=(gradf) \cdot (v')

now, we can plug values

dir=(50,-25,12) \cdot (\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })

dir=(-\frac{150}{\sqrt{29} } - \frac{50}{\sqrt{29} } - \frac{48}{\sqrt{29} })

dir=-\frac{248\sqrt{29}}{29}.............Answer



7 0
4 years ago
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Which expression are equivalent
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Answer:

OPTION A and D

-80x+28y -56

4(-20x+7y-14)

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