Chromosome 13 in the human body contains a DNA molecule that is about 3.19 centimeters long.

What is the length of 1,000 of these molecules?

Answer:

[tex]x =2[/tex]

Step-by-step explanation:

Given

[tex]\log x\³+ \log5x =5\log2-\log\frac{2}{5}[/tex]

Required

Find x

We have:

[tex]\log x\³+ \log5x =5\log2-\log\frac{2}{5}[/tex]

Apply exponent rule

[tex]\log x\³+ \log5x =\log2^5-\log\frac{2}{5}[/tex]

[tex]\log x\³+ \log5x =\log32 -\log\frac{2}{5}[/tex]

Apply product and quotient rules of logarithm

[tex]\log (x\³* 5x) =\log(32 \div \frac{2}{5})[/tex]

[tex]\log (5x^4) =\log(80)[/tex]

Cancel log on both sides

[tex]5x^4 = 80[/tex]

Divide by 5

[tex]x^4 = 16[/tex]

Take 4th roots of both sides

[tex]x =2[/tex]

I 7X + 5 I = I 3X- 13I

7×+5 = 3x +13

7X-3x = 13-5

4x = 8

X= 8/4

X=2

Answer:

1

Step-by-step explanation:

I graphed it to check. x^2+4x-1 has a vertex of (-2,-5).

Answer:

b.

Step-by-step explanation:

hsgusuhsghshjsuhsyh

Answer:

86.6% ; 93.4%

Step-by-step explanation:

To obtain the population proportion from the sample, we calculate the confidence interval ;

Confidence interval = phat ± margin of error

Phat = 90% ; margin of error = +3.4%

Hence,

90% ± 3.4%

(90 - 3.4)% ; (90 + 3.4)%

86.6% ; 93.4%

Answer:

x = 240

Step-by-step explanation:

Apply the leg rule to find the value of x.

Leg rule is given as:

Hypotenuse/leg 1 = leg 1/part 1

Hypotenuse = 400

Leg 1 = x

Part 1 = 144

Plug in the known values into the formula

400/x = x/144

Cross multiply

x*x = 144*400

x² = 57,600

Take the square root of both sides

√x² = √57,600

x = 240

Answer:

Net change in money: decrease of $5

Step-by-step explanation:

supposing Jacob started with x dollars:

He gained $80 from babysitting: x+80

Lost 85: x + 80 - 85

--> x - 5

Therefore, at the end of the week, Jacob lost 5 dollars

Answer:45

Step-by-step explanation:

The solution to the algebraic equation is x = 1. The last option is correct.

The solution to a linear algebraic equation can be achieved by finding the like terms and equating them to the constant variable.

From the given information:

8 - 2x = -8x + 14

-2x + 8x = 14 - 8

6x = 6

x = 1

Learn more about solving linear algebraic equations here:

https://brainly.com/question/1365672

#SPJ1

The multiplier is 1 + growth percentage or 1- decrease percentage rage.

1) 1 + 5% = 1.05

2) 1-12% = 0.88

3) 1-0.85% = 0.9915

4) 1 + 200% = 3

Answer:

2.1

Step-by-step explanation:

The expected value of a probability is given by the formula:

E(x) = Σxp(x)

Therefore from the table showing the winnings of a game, the expected value of the probability distribution is:

E(x) = Σxp(x) = (0 * 0.5) + (2 * 0.2) + (4 * 0.15) + (6 * 0.1) + (10 * 0.05)

E(x) = 0 + 0.4 + 0.6 + 0.6 + 0.5 = 2.1

Hence we can conclude that the expected value of the winnings of the game is 2.1.

In this question, we want to find a fraction of a value, which is found multiplying the fraction by the value.

Information:

Voldemort has brushed his teeth 14641 times.

5/11 of the time, he has flossed immediately beforehand.

[tex]1 - \frac{5}{11} = \frac{6}{11}[/tex] of the time, he has NOT flossed immediately beforehand.

How many times total has Voldemort NOT flossed right before brushing his teeth?

6/11 out of 14641, so:

6*14641/11 = 7986.

Thus, Voldemort has NOT flossed right before brushing his teeth 7986 times.

For another example with a fraction of a value, you can check https://brainly.com/question/5501130

Lord Voldemort did not floss his teeth 7986 times.

According to this question, we know the following two facts:

1) Lord Voldemort has brushed his teeth 14641 times.

2) He flossed his teeth beforehand only [tex]\frac{5}{11}[/tex] of the time.

There, he did not floss his teeth [tex]\frac{6}{11}[/tex] of the time and the total number of time that he did not floss is obtained by multiplicating the total number of times that he brushed his teeth and the rational number deducted at the beginning of the paragraph. That is to say:

[tex]x = \left(\frac{6}{11} \right)\cdot (14641)[/tex]

[tex]x = 7986[/tex]

Lord Voldemort did not floss his teeth 7986 times.

Answer:

Option c is the correct answer

Step-by-step explanation:

Reason : -

When,

x = 6, y = 3

x / y

= 6 / 3

= 2 / 1

= 2

When,

x = 10, y = 5

x / y

= 10 / 5

= 2 / 1

= 2

When,

x = 14, y = 7

x / y

= 14 / 7

= 2 / 1

= 2

These ordered pairs represents a proportional relationships.

Answer:

look at the explanation

Step-by-step explanation:

Write an equation:

Trash a way : $25 + 0.25x

Garbage No More : $45 per month

so to make them equal we need to have enough trash in Trash A Way that it equals $45

25  + 0.25x =45

0.25x = 20

x = 80

So, you need to have 80 pounds of trash to make them equal

hope this helps!

please vote and heart!

9514 1404 393

Answer:

  about 79 ft

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

In this scenario, the angle is 23°, the adjacent side is the distance to the building, and the opposite side is the building height. Then we have ...

  height = tan(23°)·(186 ft) ≈ 78.95 ft ≈ 79 ft

Answer:

70

Step-by-step explanation:

In a trapezoid lines are parallel, so corresponding angle sum = 180

X+X+40 = 180

2x + 40 = 180

2x = 180-40

2x = 140

X = 140/2

X = 70

Answered by Gauthmath

Answer: [tex]1\ \text{USD}\equiv 1.35\ \text{AUD}[/tex]

Step-by-step explanation:

1 USD is equivalent to 1.35 AUD

Therefore, 80 USD is equivalent to

[tex]\Rightarrow 80\ \text{USD}\equiv 80\times 1.35\\\\\Rightarrow 108\ \text{AUD}[/tex]

Answer:

does it want the degree????

Answer:

3.18%

2 between 89   91

Step-by-step explanation:

*Probability-Between 3.18%

Z1=0.04 Z2=0.12

x-1 89

x-2 (not required) 91

µ 88

σ 25

Part (a)

Consecutive odd integers are integers that odd and they follow one right after another. If x is odd, then x+2 is the next odd integer

For example, if x = 7, then x+2 = 9 is right after.

========================================================

Part (b)

The consecutive odd integers we're dealing with are x and x+2.

Their squares are x^2 and (x+2)^2, and these squares add to 394.

========================================================

Part (c)

We'll solve the equation we just set up.

x^2 + (x+2)^2 = 394

x^2 + x^2 + 4x + 4 = 394

2x^2+4x+4-394 = 0

2x^2+4x-390 = 0

2(x^2 + 2x - 195) = 0

x^2 + 2x - 195 = 0

You could factor this, but the quadratic formula avoids trial and error.

Use a = 1, b = 2, c = -195 in the quadratic formula.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(2)\pm\sqrt{(2)^2-4(1)(-195)}}{2(1)}\\\\x = \frac{-2\pm\sqrt{784}}{2}\\\\x = \frac{-2\pm28}{2}\\\\x = \frac{-2+28}{2} \ \text{ or } \ x = \frac{-2-28}{2}\\\\x = \frac{26}{2} \ \text{ or } \ x = \frac{-30}{2}\\\\x = 13 \ \text{ or } \ x = -15\\\\[/tex]

If x = 13, then x+2 = 13+2 = 15

Then note how x^2 + (x+2)^2 = 13^2 + 15^2 = 169 + 225 = 394

Or we could have x = -15 which leads to x+2 = -15+2 = -13

So, x^2 + (x+2)^2 = (-15)^2 + (-13)^2 = 225 + 169 = 394

We get the same thing either way.

Answer:

10m

Step-by-step explanation:

area of a square =s^2

therefore s^2=100

s= under root 100

= 10

i don't know please answer me

Answer:

8 puzzles, and 840 pieces

Step-by-step explanation:

420 / 4 = 105

630 / 6 = 105

Option 2 is the correct answer,

Reason

840 / 8 = 105

Answer:

A' (0,20)

B' (30,-20)

C' (-10,-40)

Answered by GAUTHMATH

Answer:

A horizontal shift a units to the right.

Step-by-step explanation:

f(x) =x, is a line with the the x-intercept at (0,0)

g(x) = x-a, is a line that has the same slope as line f(x) , yet has a x-intercept at (a,0) the line moved a units to the right

Answer:

the reciprocal of 1 is 1

Step-by-step explanation:

1/1 flipped is still equal to 1

Answer:

false

Step-by-step explanation:

i'm not sure if this is a true or false question, but if so, it is false

the x-axis has a positive side and a negative side, so the coordinate isn't necessarily negative. it could also be zero if the point is at the origin

hope this helps!

Answer:

yes

Step-by-step explanation:

f(x) = x^2 -1

Hope it helps!!