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valina [46]
3 years ago
12

Given f(x) = -4x - 2, solve for x when f(x) = 6.

Mathematics
1 answer:
Andrej [43]3 years ago
6 0

Answer:

use

Step-by-step explanation:

calculator

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The surface area of the cone is 43.75pie cm^2. What is the slant height of the cone and the diameter is 5
Masteriza [31]
If the diameter of the cone is 5, then the radius of it will be half that, or 2.5, thus

\bf \textit{total surface area of a cone}\\\\
SA=\pi r\stackrel{slant~height}{\sqrt{r^2+h^2}}+\pi r^2~~
\begin{cases}
r=radius\\
h=height\\
------\\
SA=43.75\pi \\
r=2.5
\end{cases}
\\\\\\
43.75\pi =\pi (2.5)\sqrt{r^2+h^2}+\pi (2.5)^2
\\\\\\
43.75\pi -\pi (2.5)^2=2.5\pi \sqrt{r^2+h^2}
\\\\\\
43.75\pi -6.25\pi =2.5\pi \sqrt{r^2+h^2}\implies 37.5\pi =2.5\pi \sqrt{r^2+h^2}
\\\\\\
\cfrac{37.5\pi }{2.5\pi }=\sqrt{r^2+h^2}\implies 15=\sqrt{r^2+h^2}
3 0
4 years ago
A punch recipe requires 3/5 of a cup of pineapple juice for ever 2 1/2 cups of soda. what is the unit rate of soda to pineapple
mojhsa [17]
(2½)/(⅗)=5/2×5/3=25/6 cups of soda to 1 cup of juice=4⅙ cups of soda per cup of juice.
4 0
3 years ago
Find S15 for the geometric series 72 + 12 + 2 + +…
Sedbober [7]
S_{15}=72+12+\cdots+\dfrac1{181398528}+\dfrac1{1088391168}
S_{15}=72\left(\dfrac16\right)^0+72\left(\dfrac16\right)^1+\cdots+72\left(\dfrac16\right)^{13}+72\left(\dfrac16\right)^{14}
S_{15}=72\displaystyle\sum_{i=1}^{15}\left(\frac16\right)^{i-1}

\dfrac16S_{15}=72\displaystyle\sum_{i=1}^{15}\left(\frac16\right)^i

\implies S_{15}-\dfrac16S_{15}=72\displaystyle\sum_{i=1}^{15}\bigg(\left(\dfrac16\right)^{i-1}-\left(\dfrac16\right)^i\bigg)
\dfrac56S_{15}=72\bigg(\left(1-\dfrac16\right)+\left(\dfrac16-\dfrac1{6^2}\right)+\cdots+\left(\dfrac1{6^{13}}-\dfrac1{6^{14}}\right)+\left(\dfrac1{6^{14}}-\dfrac1{6^{15}}\right)\bigg)
\dfrac56S_{15}=72\left(1-\dfrac1{6^{15}}\right)
S_{15}=\dfrac{432}5\times\dfrac{6^{15}-1}{6^{15}}=86.4
6 0
3 years ago
Evaluate the expression when m=−6. <br><br> m−(−8)=
masya89 [10]
The answer would be 2.
-6 - (-8)
-6 + 8
2
7 0
3 years ago
Is the answer is b, please help me
fenix001 [56]

Answer:

A) 47

B) 65

C) 01

Step-by-step explanation:

A stem and Leaf is a unique way of representing data, in which every data value is split into a “stem” and “a leaf” . The “Stem” is the first Digit of the number and The “Leaf” is the second digit of the data value.

As we seen in the Key provided to us at the foot of the page, 6│3 represent 63,also

6│0 3 4 represents : 60,63,64

0│1 5 8 represents : 01,05,08

Using this rule we expands the data given to us and answer the questions given to us.

A) Number of people represented in data

0│1 1 2 2 3 4 4 4 4 5 8 = 01 01 02 02 03 04 04 04 04 05 08 = 11 Entries

In the same way , we count the other data and see that

Total number of data values are : 11+8+8+9+4+5+2= 47

B) The range of the Data: It the Difference of the largest Data value and the Lowest Data Value

Largest Data Value : 66

Smallest Data Value : 01

Range = 66-01 = 65

C) The mode : It the Data value which is repeated the most:

01 : 4 times

10 : 3 times

31 : 3 times

32 : 3 times

Hence the mode is 01

4 0
3 years ago
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