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3 years ago

Please solve this using like terms! 2(−14+r)−(−3r−5)

Mathematics

1 answer:

tia_tia [17]3 years ago

6 0

Answer:

5r-23

Step-by-step explanation:

multiple 2 with -14 and r

then subtract 2r - (-3) and -28 -(-5)

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Evaluate each of the following to three significant figures, and express each answer in SI units using an appropriate prefix: (a

Softa [21]

Answer:

a). $4.86\times 10^{-15}$ m

b). $4.21\times 10^{-2}$ m³

c). $7.00\times 10^{3}$ N²

Step-by-step explanation:

In this question we have to convert each option into SI units.

a). $4.86(10^{-6})^{2}$ mm

= $4.86\times (10^{-12})\times (10^{-3} )$ m

= $4.86\times 10^{-15}$ m

b). (348 mm)³

= $(348)^{3}\times (10^{-3})^{3}$ m³

= $42144192\times 10^{-9}$ m³

= $4.21\times 10^{-2}$ m³

c). $(83700)^{2}\times (10^{-3})^{2}$ N²

= $700569\times 10^{4}\times 10^{-6}$ N²

= $7.00\times 10^{9}\times 10^{-6}N^{2}$

= $7.00\times 10^{3}$ N²

7 0

3 years ago

Dante's Mom wants to build a fence around their yard. Here are the measurements of the yard. What are the measurements of the mi

timama [110]

Answer:

(a)The missing measurements are 9 feet and $16\frac{1}{4}$ feet$ .

(b)Therefore, the length of the fence is $97\frac{1}{2}$ feet$

Step-by-step explanation:

The diagram of the yard is attached below.

(a)I have labeled the missing dimensions of the yard as x and y.

Therefore:

$y+8\frac{1}{4}=17 \frac{1}{4}\\y=17 \frac{1}{4}-8\frac{1}{4}\\y=9$ feet$

Similarly:

$x+15\frac{1}{4}=31\frac{1}{2}\\x=31\frac{1}{2}-15\frac{1}{4}\\x=31-15+\frac{1}{2}-\frac{1}{4}\\x=16+\frac{1}{4}\\x=16\frac{1}{4}$ feet$

The missing measurements are 9 feet and $16\frac{1}{4}$ feet$ .

(b)Length of the Fence

The fence is rectangular shaped with:

Length = $31\frac{1}{2}$ feet$

Width = $17 \frac{1}{4}$ feet$

Perimeter of a Rectangle = 2(L+W)

Therefore, the length of the fence

$=2(31\frac{1}{2}+17 \frac{1}{4})\\=2(31+17+\frac{1}{2}+ \frac{1}{4})\\=2(48+ \frac{3}{4})\\=96+\frac{3}{2}\\=97\frac{1}{2}$ feet$

8 0

4 years ago

Please help I can’t figure this one out

Nata [24]

70

this is because the bottom line has to equal 180, the angles given, 50 and 60, add up to 110, meaning the missing angle is 70 hope this helps :)

7 0

3 years ago

Read 2 more answers

2 points) Suppose w=xy+yzw=xy+yz, where x=et, y=2+sin(t)x=et, y=2+sin⁡(t), and z=2+cos(3t)z=2+cos⁡(3t). A ) Use the chain rule t

Olenka [21]

Answer:

$\frac{\partial w}{\partial t} = y(e^t) +(x+z)*(cos(t)) - 3y*sin(3t)$

Step-by-step explanation:

First, note that

$\frac{\partial x}{\partial t} = e^{t} \\\frac{\partial y}{\partial t} = cos(t)\\$

And using the chain rule in one variable

$\frac{\partial z}{\partial t} = -3sin(3t)$

Now remember that the chain rule in several variables sates that

$\frac{\partial w}{\partial t} = \frac{\partial w}{\partial x} * \frac{\partial x}{\partial t} + \frac{\partial w}{\partial y} * \frac{\partial y}{\partial t} + \frac{\partial w}{\partial z} * \frac{\partial z}{\partial t}$

Therefore the chain rule in several variables would look like this.

$\frac{\partial w}{\partial t} = y(e^t) +(x+z)*(cos(t)) - 3y*sin(3t)$

6 0

4 years ago

Read 2 more answers

BRAINLIEST!!

aleksandrvk [35]

She will buy a new car.

Given p—>q and p, this means that q is true. This is because if p is true then q has to be true too. A statement when true implies false is false.

7 0

3 years ago