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nikitadnepr [17]
3 years ago
5

Solve the equation. Round to the nearest hundredth. Show work.

Mathematics
1 answer:
muminat3 years ago
4 0

Answer:

Final answer is approx x=0.16.

Step-by-step explanation:

Given equation is 2.8\times 13^{4x} +4.8 = 19.3

Now we need to solve equation 2.8\times 13^{4x} +4.8 = 19.3 and round to the nearest hundredth.

2.8\times 13^{4x} +4.8 = 19.3

2.8\times 13^{4x} = 19.3-4.8

2.8\times 13^{4x} = 14.5

13^{4x} = \frac{14.5}{2.8}

13^{4x} = 5.17857142857

\log(13^{4x}) = \log(5.17857142857)

4x \log(13) = \log(5.17857142857)

4x = \frac{\log(5.17857142857)}{\log\left(13\right)}

4x = 0.641154659628

x = \frac{0.641154659628}{4}

x = 0.160288664907

Round to the nearest hundredth.

Hence final answer is approx x=0.16.

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Answer:

54 cm

Step-by-step explanation:

Perimeter = TZ + TX + RX + RY + SY + SZ

TZ = 5 cm

TX = 13 cm

RY = 9 cm

RX = TX = 13 cm (tangents drawn from and external point)

SY = RY = 9 cm (tangents drawn from and external point)

SZ = TZ = 5 cm (tangents drawn from and external point)

Plug in the values:

Perimeter = 5 + 13 + 13 + 9 + 9 + 5 = 54 cm

7 0
2 years ago
Match the inequality to the graph of its solution.<br> a. n/4 ≤ -1<br> b. -10 ≥ -100<br> c. 5x ≥ 20
postnew [5]
<span>a. n/4 ≤ -1

Multiply both sides by 4 => n ≤ - 4, which is all the real numbers less or equal than - 4.

That in the real number line is all the numbers to the left of - 4 (including  -4)

The matching graph is the B.


b. -10n ≥ -100

Divide both sides by - 10 => n ≤ 10

That is all the real numbers less or equal than 10.

In the real number line it is all the numbers to the left of 10, including 10.

So, the matching graph is the A.


c. 5x ≥ 20

Divide both sides by 5 => x ≥ 4

That is all the real numbers greater or equal to 4.

In the real number line it is all the numbers to the right of 4, including 4.

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3 years ago
Nifal earned 9$ for washing two cars .He recived $1 more for the second car.How much was he paid for washing each car?Which two
Sveta_85 [38]

Answer:

Nifal received $ 4 for washing the first car.

Nifal received $ 5 for washing the second car.

4 and 5 have a sum of 9.

Step-by-step explanation:

The problem can be rewritten as follows: Find the sum of two consecutive entire numbers equal to 9. That is:

x + y = 9

y = x+1

Then, by eliminating y:

x + (x+1) = 9

2\cdot x + 1 = 9

Now, let is clear x:

2\cdot x = 8

x = 4

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The earning for the second car is: (x = 4)

y = x +1

y = 4 + 1

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Nifal received $ 5 for washing the second car.

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8 0
3 years ago
What is the completely factored form of this polynomial? 25x^2y^2-100
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Answer:

25x²y² - 100

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3 0
3 years ago
Keegan is printing and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total
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Answer:

t-shirts: 2790

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Step-by-step explanation:

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p(x) = -x³ + 4x² + x

we want to maximize it.

The following criteria must be satisfied at the maximum:

dp/dx = 0

d²p/dx² < 0

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Using quadratic formula:

x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)}

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x_1 = \frac{-8 + 8.72}{-6}

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d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0

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that is, $12209

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3 years ago
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