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Veseljchak [2.6K]
3 years ago
5

Find the slope between (-4,1) and (-2,-2)

Mathematics
1 answer:
alukav5142 [94]3 years ago
7 0

Answer:

-1.5

Step-by-step explanation:

y=-1.5x-5

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Plz help this is from Khan academy ty!!
Trava [24]

Answer:

The answer is A

7 0
2 years ago
Currently a product has a gear ratio of 17:5, driver:driven. If the company wants to change the product to have the same gear ra
Sedbober [7]

Answer:

10 teeth must go on the driven gear

Step-by-step explanation:

Let the number of teeth be x

In order for the new product to maintain the same ratio as the old the ratio must remain the same. This means that

17:5 = 34:x

\frac{17}{5} = \frac{34}{x}\\Now\ let\ us\ cross-multiply\\17 \times x = 5 \times 34\\17x = 170\\dividing\ both\ sides\ by\ 17 \\x = \frac{170}{17} \\x = 10

∴ 10 teeth must go on the driven gear

hence ratio = 34:10

8 0
3 years ago
A geometric series has second term 375 and fifth term 81 . find the sum to infinity of series .
Eduardwww [97]

Answer:  \bold{S_{\infty}=\dfrac{3125}{2}=1562.5}

<u>Step-by-step explanation:</u>

  a₁,  375,  a₃,   a₄,  81

First, let's find the ratio (r). There are three multiple from 375 to 81.

375r^3=81\\\\r^3=\dfrac{81}{375}\\\\\\r^3=\dfrac{27}{125}\qquad \leftarrow simplied\\\\\\\sqrt[3]{r^3} =\sqrt[3]{\dfrac{27}{125}}\\ \\\\r=\dfrac{3}{5}

Next, let's find a₁

a_1\bigg(\dfrac{3}{5}\bigg)=375\\\\\\a_1=375\bigg(\dfrac{5}{3}\bigg)\\\\\\a_1=125(5)\\\\\\a_1=625

Lastly, Use the Infinite Geometric Sum Formula to find the sum:

S_{\infty}=\dfrac{a_1}{1-r}\\\\\\.\quad =\dfrac{625}{1-\frac{3}{5}}\\\\\\.\quad =\dfrac{625}{\frac{2}{5}}\\\\\\.\quad = \dfrac{625(5)}{2}\\\\\\.\quad = \large\boxed{\dfrac{3125}{2}}

7 0
3 years ago
Jeremy has a total of $250. If he spends 30% of his money, how much will he have left?
vagabundo [1.1K]
If you look at the picture, you set it up as part over whole is equal to percent over 100. then you just multiply across.

5 0
3 years ago
1/2−3(1/2+1)^2<br><br><br> Enter your answer, as a simplified fraction
o-na [289]

Answer:

- \frac{25}{4}

Step-by-step explanation:

\frac{1}{2} -3 (\frac{1}{2} + 1)²

Calculate sum

\frac{1}{2} -3x (\frac{3}{2})²

To raise a fraction to a power raise numerator and denominator to that power

\frac{1}{2} -3 x \frac{9}{4}

Calculate product

\frac{1}{2} - \frac{27}{4}

Subtract fractions

-\frac{25}{4}

4 0
3 years ago
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