Write this number in expanded notation:178.25​

Answer:

320 x^6

Step-by-step explanation:

(5x^3)(4x)^3

5 x^3  * 4^3 * x*3

5x^3 *64x^3

320 x^6

Answer:

B

Step-by-step explanation:

= 5x^3  * 4^3 * x^3

= 5x^3 *64x^3

= 320x^6

Hope this helps!

Answer:

The correct answer will be "0.400 gm".

Step-by-step explanation:

The give values are:

Needs of hospital, N = 0.100 gm

Time, t = 10 days

Minimum amount of Xenon, N₀ = ?

As we know,

⇒  [tex]N(t)=N_{0} \ e^{-\lambda t}[/tex]

∴  Decay constant, λ = [tex]\frac{ln2}{t_{1/2}}[/tex]

                                λ = [tex]\frac{ln2}{5}[/tex]

On putting values, we get

⇒  [tex]0.100=N_{0} \ e^{-\frac{ln2}{5}}\times 10[/tex]

⇒  [tex]0.1=N_{0} \ e^{-2ln2} = N_{0} \ e^{-ln4}[/tex]

⇒  [tex]0.1=N_{0} \ e^{ln\frac{1}{4}}[/tex]

⇒  [tex]0.1=\frac{N_{0}}{4}[/tex]

⇒  [tex]N_{0}=0.1\times 4[/tex]

⇒  [tex]MX_{e}=0.400 \ gm[/tex]

Answer:

7mph

Step-by-step explanation:

Given

Time Taken to go upstream Tup = 35 min

Time Taken to go downstream Tdown=21 min.

Let the absolute speed (i.e speed relative to the stationary riverbed) be :

Vup : going upstream

Vdown: going downstream.

We know that the distance traveled upstream = distance traveled downstream, hence we can equate both distances, i.e. :

Distance Traveled Upstream = Distance Traveled Downstream

Vup · Tup = Vdown · Tdown   (substituting the values for time above)

35Vup = 21Vdown

Vup = (21/35) Vdown ------------(eq 1)

We are also given that the motorboat can travel at V = 28 mph relative to the water.

Since going upstream, we are going AGAINST the current, relative to the riverbed, we expect to be travelling slower. In fact, the absolute difference between the speed relative to the water (i.e V = 28 mph) and the speed relative to the seabed (i.e Vup), is equal to the speed of the current.

The same can be said for going downstream WITH the current, that the absolute difference between V = 28mph and Vdown is also equal to the speed of the current.

Hence we can equate the two:

28 - Vup = Vdown - 28

Vup + Vdown = 2(28)

Vup + Vdown = 56 ---------------------(eq 2)

If we solve the system of equations (eq 1) and (eq2), we will get

Vup = 21 mph and Vdown = 35 mph

(sanity check tells us that this makes sense because we expect to be going slower upstream because we are going against the current)

Hence current speed

= 28-Vup

= 28 - 21

= 7 mph. (answer)

Sanity Check:

Current speed can also be written:

= Vdown-28

= 35 - 28

= 7 mph (same as what we found above, so this checks out)

The speed of the current motorboat = 7 mph

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Speed of boat in still water = 28 mph

Let the speed of stream = w

Here, The upstream time is 35 min = 35/60 h = 7/12 h

downstream time is 21 min = 21/60 h = 7/20 hours

Since, The distance (d = vt) traveled either way is the same, but at different speeds and times.

Hence, Set upstream and downstream distances (vt) equal and solve for w as;

⇒ (28 - w)(7/12) = (28 + w)(7/20)

⇒ 20 (28 - w) = 12 (28 + w)

⇒ 5(28 - w) = 3(28 + w)

⇒ 140 - 5w = 84 + 3w

⇒ 140 - 84 = 5w + 3w

⇒ 56 = 8w

⇒ w = 7

Thus, The speed of the current = 7 mph

Learn more about the mathematical expression visit:

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Answer:

Step-by-step explanation:

1) first of all, let s check for n = 1

[tex]7^1 -1=7-1=6[/tex]

that s true

2) We assume that this is true for n

[tex]7^n-1[/tex] is divisible by 6

what about [tex]7^{n+1}-1[/tex] ?

we know that there is a k natural so that [tex]7^n-1=6k[/tex]

so [tex]7^n = 1+6k[/tex]

then [tex]7^{n+1} = 7*7^n = 7(1+6k)\\[/tex]

so [tex]7^{n+1}-1 = 7(1+6k)-1 = 6+7*6k = 6(1+7k)[/tex]

so it means that [tex]7^{n+1}-1[/tex] is divisible by 6

3) finally as this is true for n=1 and if this is true for n then it is true for n+1 we can conclude that [tex]7^n-1[/tex] is divisible by 6 for n positive integer

Answer:

1000

Step-by-step explanation:

For rounding questions, you want to look at the place value to the right of the digit it wants you to round to. If that place value to the right of the digit you need to round is less than 5, you round down. If the place value to the right of the digit you need to round is 5 or greater, then you round up. In your situation, the place value you want to round is the hundreds place, so we need to look at the tens value. The tens value is 4, which is less than 5, so we round down. Therefore, the answer would be 1000.

Answer:

The Predictor variable is the amount of precipitation received while the Response variable is the crop harvest.

Step-by-step explanation:

The Response variable in an experiment is the factor being measured or studied. They are also known as the dependent variables. Predictor variables are those values that explain the changes in the Response variable. They are also known as the independent variables.

In the question above, the amount of precipitation provides an explanation for the harvest of his crops. Therefore, the amount of precipitation can be rightly described as the predictor or independent variable, while the harvest of his crops is described as the response or dependent variable.

Answer:

  10.5 ft high

  5.3 ft horizontally

Step-by-step explanation:

The equation can be written in vertex form to answer these questions.

  f(x) = -0.2(x² -10.5x) +5

  f(x) = -0.2(x² -10.5x +5.25²) +5 +0.2(5.25²)

  f(x) = -0.2(x -5.25)² +10.5125

The vertex of the travel path is (5.25, 10.5125).

The maximum height is 10.5 feet, which occurs 5.3 feet (horizontally) from the point of release.

Answer:

Thus; the slope is positive

Step-by-step explanation:

Given that :

the sample size = 20

for the slope; the degree of freedom df = n - 2

= 20 -2

= 18

Using ∝ = 0.05

From t -table , one tailed, at df =18)

[tex]t_{\alpha , df}}= t_{0.05, df = 18} = 1.734[/tex]

Thus the t- critical for the right tailed test is 1.734. This simply refers to the fact that the critical region is test statistics.

Incorporating the Excel Formula [ T.INV (1 - 0.05).18) = 1.734063607

≅ 1.734

Answer:

Circle

Step-by-step explanation:

r = 2 cos θ

Multiply both sides by r.

r² = 2r cos θ

Convert to rectangular.

x² + y² = 2x

x² − 2x + y² = 0

Complete the square.

x² − 2x + 1 + y² = 1

(x − 1)² + y² = 1

This is a circle with center (1, 0) and radius 1.

The given function r = 2 cos θ is a circle with a center (1, 0) and radius of 1.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

Given function is r = 2 cos θ

Now, Multiply both sides by r.

r² = 2r cos θ

Convert to rectangular form;

x² + y² = 2x

x² − 2x + y² = 0

Using Complete the square.

x² − 2x + 1 + y² = 1

(x − 1)² + y² = 1

Hence, This is a circle with a center (1, 0) and radius of 1.

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Answer:

B.

Step-by-step explanation:

B.

- 9 ≤ - 3x - 6 ≤ 6

1 part.

- 9  +6 ≤ - 3x - 6 +6

- 3/(- 3) ≤ - 3x/(- 3)

1 ≥ x

2d part

- 3x - 6 +6≤ 6 + 6

- 3x ≤ 12

- 3x/(-3) ≥ 12/(-3)

x ≥ - 4

x ≥ - 4 and x≤ 1

Answer:

55% probability that a randomly selected depth is between 2.25 m and 5.00 m

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d is given by the following formula.

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between 2.00 m and 7.00 m.

This means that [tex]a = 2, b = 7[/tex]

What is the probability that a randomly selected depth is between 2.25 m and 5.00 m?

[tex]P(2.25 \leq X \leq 5) = \frac{5 - 2.25}{7 - 2} = 0.55[/tex]

55% probability that a randomly selected depth is between 2.25 m and 5.00 m

The answer is 1 7/20

2/5 x 4/4 + 7/10 x 2/2 + 1/4 x 5/5

=  8/20 + 14/20 + 5/20

= 27/20

= 1 7/20

Answer:

27/20 or 1 and 7/20

Step-by-step explanation:

All you do is find common factors.

The right answer is (1/2 , 5)

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

41-60 => 5

Step-by-step explanation:

41-50 => 2

51-60 => 3

So 2+3 =5

Answer:

5

Step-by-step explanation:

Add up the number of children between 41 and 60

41-50: 2

51-60: 3

------------

total 5

Answer:

the value of x is 3

Step-by-step explanation:

Hope this helps!!!! :)

Answer:

one is a

two is c

three is b

Step-by-step explanation:

Answer:

$71.59

Step-by-step explanation:

43.25+26.25

=69.5

69.5×103/100

=71.585

Answer: 1-20=2  and 60-80=4

Step-by-step explanation:

the first is 2 number of building

and the third one is 4 number of buldings

Hope this helps :)

Answer:

Part 1.

Juice = 8 L.

Lemonade = 32 L.

Part 2.

20 L punch Josie can make.

Part 3.

New ratio juice : lemonade = 2 : 9

Step-by-step explanation:

Part 1.

1+4 = 5 parts altogether, 1 parts for juice and 4 parts for lemonade.

40 : 5 = 8 L is 1 part.

Juice - 1 part - 8 L.

Lemonade - 4 parts - 4*8 = 32 L.

Part 2.

1 parts of juice needs 4 parts of lemonade

4 L of juice     needs  x L of lemonade

1 : 4 = 4 : x

x = 4*4/1 = 16 L lemonade

4+ 16 = 20 L punch Josie can make

Part 3.

It was 4 L of juice and 16 L of lemonade.

After 2 L lemonade was added, we have 4 L of juice and (16+2) = 18 L of lemonade.

4 L juice : 18 L lemonade = 4/2 L juice : 18/2 L lemonade =

= 2 L juice: 9L lemonade

New ratio juice : lemonade = 2 : 9

Answer:  nice and funnyyyyy y=4

Step-by-step explanation:

Write z in exponential form:

[tex]z=1-i=\sqrt2 e^{-i\frac\pi4}[/tex]

Then taking the logarithm, we get

[tex]\mathrm{Ln}(z)=\ln(\sqrt2) + \ln e^{-i\frac\pi4} = \boxed{\ln(\sqrt2)-\dfrac\pi4i}[/tex]

so a is the correct answer.

Answer: Choice C

Step-by-step explanation:

Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true.

3/10≠3/5*1/4

so event A and B are not independent.

Answer:

Since, 113 is on the confidence interval obtained (97.502, 114.098), so, we can suggest that is plausible that the true average IQ score for all seventh-grade female students at this school is 113.

Step-by-step explanation:

The question isn't complete, the missing part asked us to obtain a 99.5% confidence interval for the true average IQ score

Finding the confidence interval using the sample data provided, we can answer the question of plausibility.

Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Sample Mean = 105.8

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the t-distribution. This is because there is no information provided for the population mean and standard deviation.

To find the critical value from the t-tables, we first find the degree of freedom and the significance level.

Degree of freedom = df = n - 1 = 31 - 1 = 30

Significance level for 99.5% confidence interval

(100% - 99.5%)/2 = 0.25% = 0.0025

t (0.0025, 30) = 3.03 (from the t-tables)

Standard error of the mean = σₓ = (σ/√n)

σ = standard deviation of the sample = 15

n = sample size = 30

σₓ = (15/√30) = 2.739

99.5% Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]

CI = 105.8 ± (3.03 × 2.739)

CI = 105.8 ± 8.298

99.5% CI = (97.502, 111.387)

99.5% Confidence interval = (97.502, 114.098)

Since, 113 is on the confidence interval obtained, so, we can suggest that is plausible that the true average IQ score for all seventh-grade female students at this school is 113.

Hope this Helps!!!

if percent of 1 year was 5%:

meaning time between accidents must be atleast 1 week

The mean waiting time that exists between the accidents would be:

- 1 week

'Mean waiting time' is determined through the contemplated value of an odd(random/casual) variable.

Given that,

Probability(P) of no accident taking place in 1 year = 5%

Assuming T be the accidents' number that takes place during a year,

Since 5% is the probability or chance of no accident to take place,

The mean waiting time between accidents = 1 week at least via Poisson process.

Thus, 1 week would be the correct answer.

Learn more about 'Mean' here:

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Answer:

[tex]g^{-1}(x)=\frac{x-1}{6}[/tex]

Answer:

b

Step-by-step explanation:

externally consistent ideas are the ideas that are consistent with other well-confirmed hypothesis.

Fruitfulness of a hypothesis can be measured from the fact it it suggests something other than what it was originally suppose to explain.

The correct answer is C. Kelli put 6 red marbles and 5 blue marbles in a bag. The probability of selecting a red marble is 6 /11

Explanation:

Theoretical probability occurs as you calculate the probability of a specific outcome in a situation, without experimenting or observing it. Because of this, the probability is theoretical rather than experimental. Also, you can know this, if you divide the number of specific favorable outcomes by the total of possible outcomes.

Option C shows a theoretical probability because this is the only case the probability has not been observed or experimented. Also, expressing the probability as 6/11 is completely correct because 6 is the total of red marbles(possible desired outcomes), while 11 is the total marbles (possible outcomes).

Answer:

“It is a binomial with a degree of 3”

Step-by-step explanation:

Since it has just two different coefficients, it would be considered “binomial” for that reason. As you can notice, the highest degree is 3. So match those up and the correct answer would be the second choice “It is a binomial with a degree of 3”

Answer:

B

Step-by-step explanation:

Answer:

  (-2, 1)

Step-by-step explanation:

For a relation consisting of (x, y) pairs to be a function, all of the x-values must be unique. In the given relation, points (-2, -3) and (-2, 1) have the same x-value. Removing either point will make the relation a function.

Of these, the only one listed among answer choices is (-2, 1).

Answer:

-2 , 1

Step-by-step explanation:

good luck love

Answer:

The geometric mean growth rate of sales is 1.4422.

Step-by-step explanation:

We have two sales values, one from 6 years ago and the other from now.

We have to calculate the geometric growth rate of sales.

We have:

[tex]y(-6)=1,000,000\\\\y(0)=9,000,000[/tex]

We can write the relation between these two values as:

[tex]y(0)=y(-6)k^{0-(-6)}\\\\9,000,000=1,000,000k^6\\\\k^6=9\\\\k=9^{1/6}= 1.4422[/tex]

The geometric mean growth rate of sales is 1.4422.

Answer:

16x+36

Step-by-step explanation:

4(4x + 9)

16x+36

____________________________________

Solution,

4(4x+9)

=4*4x+4*9

=16x+36

So the answer is 16x+36

Hope it helps

Good luck on your assignment

___________________________________