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Nat2105 [25]
3 years ago
7

Will GIVE 200 Points!!! NEED HELP ASAP!!!! PLEASE HURRY AND HELP!!! For the given statement, write the converse, inverse, and co

ntrapositive.
If a figure is a cube, then it has eight vertices.
Mathematics
1 answer:
UNO [17]3 years ago
7 0

Answer:

See explanation

Step-by-step explanation:

Consider given statement "If a figure is a cube, then it has eight vertices" in math terms. Let

  • statement p be "A figure is cube.";
  • statement q be "A figure has 8 vertices."

Then the statement  "If a figure is a cube, then it has eight vertices"  can be written as

p\Rightarrow q

Converse (q\Rightarrow p): If a figure has eight vertices, then it is a cube.

Inverse (\neg p\Rightarrow \neg q): If a figure is not a cube, then it has not eight vertices.

Contrapositive (\neg q\Rightarrow \neg p): If a figure has not eight vertices, then it is not a cube.

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Factor completely x3 - y3
stealth61 [152]

Answer:

(x-y)(x^2+xy+y^2)

Step-by-step explanation:

x^3 - y^3=(x-y)(x^2+xy+y^2)

8 0
3 years ago
Find five solutions for the linear equation 2x + y = 5, and plot the solutions as points on a coordinate plane.​
WARRIOR [948]

Step-by-step explanation:

First put it in point slope for y = mx + b

y = -2x + 5

Now plug in what ever number you want for x and solve.

4 0
2 years ago
The regular price of a shirt is $15. Natalie bought it on sale for 0.9 times its regular price. Then the sale price was multipli
bezimeni [28]

Answer: $14.31

Step-by-step explanation:

Assuming it is the final price Natalie paid that you want:

Selling price = 0.9 * 15

= $13.50

To cater for tax it was then multiplied by 1.06:

= 13.5 * 1.06

= $14.31

6 0
3 years ago
Please answer! It would be appreciated if work is also shown!
borishaifa [10]

Quantity of paint left = \frac{389}{480} gallons

Solution:

Quantity of yellow paint = 1\frac{1}{5}=\frac{6}{5} gallons

Quantity of green paint = 1\frac{1}{6}=\frac{7}{6} gallons

Quantity of blue paint = \frac{7}{8} gallons

Quantity of paint used = \frac{3}{4} gallons of each paint

Quantity of paint left = 1-\frac{3}{4}=\frac{1}{4} gallons of each paint

Quantity of paint left = (\frac{6}{5}+\frac{7}{6}+\frac{7}{8})\times\frac{1}{4}

Taking LCM for 5, 6, 8, we get LCM = 120

(\frac{6}{5}+\frac{7}{6}+\frac{7}{8})\times\frac{1}{4}=(\frac{144}{120}+\frac{140}{120}+\frac{105}{120})\times\frac{1}{4}

                         =(\frac{389}{120})\times\frac{1}{4}

                         =\frac{389}{480}

Hence, Mark will have \frac{389}{480} gallons of paint left after painting the mural.

3 0
3 years ago
F(x) = 4√(2x³-1)<br> F'(x) =.....?
goldfiish [28.3K]

Answer:

\large\boxed{f'(x)=\dfrac{12x^2}{\sqrt{2x^3-1}}}

Step-by-step explanation:

f(x)=4\sqrt{2x^3-1}=4\left(2x^3-1\right)^\frac{1}{2}\\\\f'(x)=4\cdot\dfrac{1}{2}(2x^3-1)^{-\frac{1}{2}}\cdot3\cdot2x^2=\dfrac{12x^2}{(2x^3-1)^\frac{1}{2}}=\dfrac{12x^2}{\sqrt{2x^3-1}}\\\\\text{used}\\\\\sqrt{a}=a^\frac{1}{2}\\\\\bigg[f\left(g(x)\right)\bigg]'=f'(g(x))\cdot g'(x)\\\\\bigg[nf(x)\bigg]'=nf'(x)\\\\(x^n)'=nx^{n-1}

6 0
3 years ago
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