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Gwar [14]
3 years ago
11

9x+16 3 <7 solve each inequality

Mathematics
1 answer:
Crazy boy [7]3 years ago
8 0

Step-by-step explanation:

9+16×+3

28×<7

35x it's answer can I help

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Calculate the sum of the infinite series
andriy [413]
ANSWER

S_ \infty = \frac{40}{3}

EXPLANATION

The given series is

20-10+5-...


The first term of the series is,

a_1=20

The common ratio of this series is,

r = \frac{ - 10}{20}

This simplifies to,

r = - \frac{1}{2}

The sum to infinity of this sequence is given by the formula,

S_ \infty = \frac{a_1}{1-r}

We substitute the above values into the formula to obtain,

S_ \infty = \frac{20}{1- - \frac{1}{2} }

This simplifies to,

S_ \infty = \frac{20}{1 + \frac{1}{2} }

We simplify the denominator to get,

S_ \infty = \frac{20}{ \frac{3}{2} }

This will finally give us,

S_ \infty =20 \times \frac{2}{3}

S_ \infty = \frac{40}{3}

The correct answer is A.
5 0
3 years ago
Read 2 more answers
Tomas Gomez's gross weekly pay is $750. What amount is deducted weekly for Social Security taxes, if the tax rate is 6.2%?
AleksandrR [38]

Answer:

$46.50

Step-by-step explanation:

From the question we are given;

gross weekly pay= $750

Tax rate= 6.2%

Find 6.2% of the gross weekly pay

6.2/100 × $750 = $46.50

3 0
3 years ago
In a standard deck of cards find the probability of drawing a black card or a 10
Sophie [7]
Out of 52 total cards there are 13 ways to draw black and 3 more hearts besides so 16/52. or 4/13
7 0
3 years ago
Solve this -5-x=-3x-17
drek231 [11]

Answer:

-6

Step-by-step explanation:

5 0
2 years ago
Draw an example of a composite figure that has a volume between 750 cubic inches and 900 cubic inches
grigory [225]

Volume:

V \approx 888.02in^3 \\ \\ And, \ 750in^3

<h2>Explanation:</h2>

A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:

V_{total}=V_{cylinder}+V_{hemisphere} \\ \\ \\ V_{total}=V \\ \\ V_{cylinder}=V_{c} \\ \\ V_{hemisphere}=V_{h}

So:

V_{c}=\pi r^2h \\ \\ r:radius \\ \\ h:height

From the figure the radius of the hemisphere is the same radius of the cylinder and equals:

r=\frac{8}{2}=4in

And the height of the cylinder is:

h=15in

So:

V_{c}=\pi r^2h \\ \\ V_{c}=\pi (4)^2(15) \\ \\ V_{c}=240\pi in^3

The volume of a hemisphere is half the volume of a sphere, hence:

V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi r^3\right) \\ \\ V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi (4)^3\right) \\ \\ V_{h}=\frac{128}{3}\pi in^3

Finally, the volume of the composite figure is:

V=240\pi+\frac{128}{3}\pi \\ \\ V=\frac{848}{3}\pi in^3 \\ \\ \\ V \approx 888.02in^3 \\ \\ And, \ 750in^3

<h2>Learn more:</h2>

Volume of cone: brainly.com/question/4383003

#LearnWithBrainly

4 0
3 years ago
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