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Serggg [28]
4 years ago
14

Charles bought 7/8 foot of electrical wire and 5/6 foot of copper wire for his science project. What is the least common denomin

ator of the fraction?
Mathematics
2 answers:
katovenus [111]4 years ago
8 0
The least common denominator is 24. That is the smallest possible number that has 6 and 8 as factors. So if you wanted to add those together it would be:
21/24 + 20/24 = 41/24 ft
alisha [4.7K]4 years ago
7 0
The least common denominator is 24. 
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Last year, a gardening store ordered 530,570 potted plants. This year, they ordered 424,456 potted plants. What is the percent o
Katen [24]

Answer:

last year = 530570

this year = 424456

decreased plants = 530570-424456 = 106114

decreased percent = 106114÷530570×100%

= 20%

therefore 20% is the decrease precent in the number of potted plants ordered anually

5 0
3 years ago
Consider f and c below. f(x, y) = (7 + 8xy2)i + 8x2yj, c is the arc of the hyperbola y = 1/x from (1, 1) to 3, 1 3 (a) find a fu
KonstantinChe [14]

\dfrac{\partial f}{\partial x}=7+8xy^2

\dfrac{\partial f}{\partial y}=8x^2y

The first equation gives

f(x,y)=7x+4x^2y^2+g(y)

Differentiating with respect to y gives

8x^2=8x^2y+\dfrac{\mathrm dg}{\mathrm dy}\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=K

for some constant K. So

f(x,y)=7x+4x^2y^2+K

and by the fundamental theorem of calculus,

\displaystyle\int_C\nabla f\cdot\mathrm d\vec r=f\left(3,\frac13\right)-f(1,1)=25-11=\boxed{14}

4 0
3 years ago
Someone help me on this question <br>it's two step inequalities<br>i forgot how to do this​
Otrada [13]

Answer:

if I'm not wrong, its x>34

Step-by-step explanation:

multiply both sides by 3

3(x - 4)/3 > 10 x 3

x - 4 > 30 (simplify)

add 4 to both sides and x > 34

6 0
3 years ago
Help me please quick!!!
Gekata [30.6K]

Answer:

85 or 40 hm..................................

4 0
3 years ago
Write the function f(x) = -4x2 + 24x - 42 in vertex form, and identify its vertex.
Vlad [161]

<u>ANSWER</u>


The vertex form is f(x)=-4(x-3)^2-6



<u>EXPLANATION</u>


We use completing squares


f(x)=-4x^2+24x-42


We factor -4 out of the first two terms


f(x)=-4(x^2-6x)-42

We add and subtract -4(-3)^2, that is coming from, (\frac{b}{2a})^2.


f(x)=-4(x^2-6x)+ -4(-3)^2--4(-3)^2-42

f(x)=-4(x^2-6x+(-3)^2)--4(-3)^2-42


The expression in the first parenthesis is now a perfect square.

f(x)=-4(x-3)^2+36-42


f(x)=-4(x-3)^2-6

The function is now in the form,

f(x)=a(x-h)^2+k, where V(h,k) is the vertex



Hence the vertex is(3,-6)






6 0
3 years ago
Read 2 more answers
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