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3 years ago

What expression is equivalent to 16 + 2 ⋅ 36?

Mathematics

2 answers:

JulijaS [17]3 years ago

8 0

to figure this one out we need to simplify the expression

16x²-36 start by taking out the greatest factor of 16 and 36 which is 4

4(4x²-9) then since this is the difference of squares (meaning both 4 and 9 are squares and it is subtraction) this one is easy, just square the parenthasis and seperate them to get

4(2x+3)(2x-3)

I hope I've helped!

dezoksy [38]3 years ago

3 0

Answer:

16 +(2 * 36)

Step-by-step explanation:

Is this multiple choice if it is what are the choices?

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Jordan is saving to buy a computer that costs $425. So far she has saved $125, and she adds $20 to her savings each week. How ma

Ber [7]

Answer:

15 more weeks

Step-by-step explanation:

425 - 125 (what shes already saved)

300 divided by 20 (amount shes saving each week)

Result is 15, so 15 more weeks.

Hope this helped :)

If you mean how many weeks total, 125 according to the 20 dollars a week would bring it 22 weeks i think.. since the answer answer is 21.2 weeks exactly when you divide 425 by 20.

4 0

3 years ago

A 15-ft ladder leans against a wall. The lower end of the ladder is being pulled away from the wall at the rate of 1.5 ft/sec. L

Aleks [24]

Answer:

The top of the ladder is sliding down at a rate of 2 feet per second.

Step-by-step explanation:

Refer the image for the diagram. Consider $\Delta ABC$ as right angle triangle. Values of length of one side and hypotenuse is given. Value of another side is not known. So applying Pythagoras theorem,

$\left ( AB \right )^{2}+\left ( BC \right )^{2}=\left ( AC \right )^{2}$

From the given data, $L=15\:ft=AC$ , $y=9\:ft=AB$ and $x=BC$

Substituting the values,

$\therefore \left ( 9 \right )^{2}+\left ( x \right )^{2}=\left ( 15 \right )^{2}$

$\therefore 81+x^{2}=225$

$\therefore x^{2}=225-81$

$\therefore x^{2}=144$

$\therefore \sqrt{x^{2}}=\sqrt{144}$

$\therefore x=\pm 12$

Since length can never be negative, so $x= 12$ .

Now to calculate $\dfrac{dy}{dt}$ again consider following equation,

$\left ( y \right )^{2}+\left ( x \right )^{2}=\left ( l \right )^{2}$

Differentiate both sides of the equation with respect to t,

$\dfrac{d}{dt}\left(y^2+x^2\right)=\dfrac{d}{dt}\left(l^2\right)$

Applying sum rule of derivative,

$\dfrac{d}{dt}\left(y^2\right)+\dfrac{d}{dt}\left(x^2\right)=\dfrac{d}{dt}\left(l^2\right)$

$\dfrac{d}{dt}\left(y^2\right)+\dfrac{d}{dt}\left(x^2\right)=\dfrac{d}{dt}\left(225\right)$

Applying power rule of derivative,

$2y\dfrac{dy}{dt}+2x\dfrac{dx}{dt}=0$

Simplifying,

$y\dfrac{dy}{dt}+x\dfrac{dx}{dt}=0$

Substituting the values,

$9\dfrac{dy}{dt}+12\times1.5=0$

$9\dfrac{dy}{dt}+18=0$

Subtracting both sides by 18,

$9\dfrac{dy}{dt}=-18$

Dividing both sides by 9,

$\dfrac{dy}{dt}= - 2$

Here, negative indicates that the ladder is sliding in downward direction.

$\therefore \dfrac{dy}{dt}= 2\:\dfrac{ft}{sec}$

7 0

3 years ago

A part selected for testing is equally likely to have been produced on any one of six cutting tools.

JulijaS [17]

Answer:

a)S= (1,2,3,4,5,6)

b) 1/6 or 16.67%

c) 1/3 or 33.33%

d) 5/6 or 83.33%

Step-by-step explanation:

a) Sample space is the list of all the possible sample in this its either tool 1,2,3,4,5 or 6

b) probability of selecting from tool 1 is equally likely to picking from any cutting tool therefore it

1/6 or 16.7%

c) probability of selecting from any tool is 16.7% so probability of selecting from 3 or 5 = 16.67% + 16.67% = 33.3%

d) if the part is not from tool 4 then its from tool 1, or tool 2 or tool 3 or tool 5 or tool 6 therefore its

1/6+1/6+1/6+1/6+1/6 = 5/6 or 8.33%

8 0

3 years ago

Use the distributive property to simplify -8(5x-3)

Alexxandr [17]

Answer:

$-40x+24$

Step-by-step explanation:

Use distributive property.

$-8(5x-3)\\\rightarrow -8 * 5x = -40x\\\rightarrow -8*-3= 24\\\\\text {So: }-8(5x-3) \rightarrow -40x+24$

6 0

4 years ago

Read 2 more answers

Please help me .....

SIZIF [17.4K]

Answer:

1.) 31.5

2.) 33.75

Step-by-step explanation:

6 0

3 years ago