Four girls have a mean height of
1.4m. Six boys have a mean
height of 1.7m.
Work out the mean height of all 10
children.

The quotient of 45 and r is 45r . A quotient is the result of a division. For example, 84=2 . So, 2 is the quotient.

To solve the exponential equation 8eˣ - 18 = 15, we can use logarithms to isolate the variable x. By taking the natural logarithm of both sides, we can find the value of x either in terms of logarithms or correct to four decimal places.

Additionally, to find a formula for the exponential function passing through the points (-1,3/5) and (2,75), we can use the two-point form of an exponential function to determine the specific equation. For the equation 8eˣ - 18 = 15, we can solve for x using logarithms. Taking the natural logarithm (ln) of both sides, we have: ln(8eˣ - 18) = ln(15). Simplifying further: ln(8eˣ) = ln(33). Applying logarithmic properties, we get: ln(8) + ln(eˣ) = ln(33). Using the fact that ln(eˣ) = x, we have: ln(8) + x = ln(33). Finally, solving for x: x = ln(33) - ln(8). To find the exponential function passing through the points (-1,3/5) and (2,75), we can use the two-point form of an exponential function, which is given by: f(x) = a * bˣ. Substituting the coordinates of the points into the equation, we get two equations: 3/5 = a * b^(-1), 75 = a * b². Solving these equations simultaneously, we can find the values of a and b. Once we have the values of a and b, we can write the specific equation for the exponential function.

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A scatter plot would be useful for showing the trend of sales, over time, of five different brands of blank DVDs. So, the correct answer is B).

A scatter plot is a type of graph that represents the relationship between two variables. It is particularly useful for showing the trend or pattern in data over time.

In this case, option B is the most appropriate because it involves plotting the sales data of different brands of blank DVDs over time. The scatter plot would allow for visualizing how the sales of each brand vary over different time periods, enabling the identification of any trends or patterns in the sales data.

So, the correct option is B).

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--The given question is incomplete, the complete question is given below " A scatter plot would be useful for

A. Showing the relative number of sales of four different brands of blank DVDs

B. Showing the trend of sales, over time, of five different brands of blank DVDs

C. Showing the relationship between the sales of blank CDs and blank DVDs

D. Showing the top selling brands of blank DVDs"--

Answer:

11

Step-by-step explanation:

(f/g)(5)=

f(5)=(5)2+1÷g(5)=5-4

10+1/1

11/1

(f/g)=11

The required simplified value of the given function as (f/g)(5)  is 26.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
f(x) = x² +1

f(5) = 5² + 1
f(5) = 26

g(x) = x - 4
g(5) = 5 - 4 = 1

f/g(5) = f(5) / g(5)
       = 26 / 1 = 26

Thus, the required simplified value of the given expression (f/g)(5)  is 26.

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The answer is b. I know cuz I took the test!

Answer:

  A.  -4 ≤ x ≤ 3

Step-by-step explanation:

The domain is the horizontal extent of the graph.

The solid dot at the extreme left of the graph indicates x=-4 is in the domain of the graph. The solid dot at the extreme right indicates x=3 is in the domain of the graph. The continuous line between those points indicates all values of x between -4 and +3 are in the domain.

The domain is -4 ≤ x ≤ 3.

Answer:

hope my answer is helpful to you

plz mark me as brainlist and also follow me

Answer:

I would rate my feelings 4 on a scale of 5

Step-by-step explanation:

Before exercising I usually feel low and heavily laden with overwhelming thoughts and the feeling doesn't seem to leave except in engage in some form of activities that will take my time and consciousness of time.

Like exercising does take time and it's very engaging one wouldn't know the passage of time while doing some physical task.

It's always relaxing after engaging in physical exercise,I also see it as physical therapy for mental health.

The equation of the line that passes through the points ( -6,-10 ) and ( 6,-2 ) is y = (2/3)x - 6.

The equation of line is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the data in the question;

Point 1( -6,-10 )

Point 2( 6,-2 )

First, we determine the slope "m" of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( -2 - (-10) ) / ( 6 - (-6) )

m = ( -2 + 10 ) / ( 6 + 6 )

m = 8 / 12

Slope m = 2/3

Next, we determine the y-intercept "b"

y = mx + b

-10 = (2/3)(-6) + b

-10 = -12/3 + b

-10 = -4 + b

b = -10 + 4

b = -6

Now that the values of slope m and y-intercept b is known, plug these into y = mx + b to determine the equation of the line.

y = mx + b

y = (2/3)x + (-6)

y = (2/3)x - 6

Therefore, the equation of the line is y = (2/3)x - 6.

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Answer:

u=v-at

Step-by-step explanation:

I am smart

The  means that approximately 65.54% of the observations in a standard normal distribution would have a z-score less than 0.4 standard deviation above the mean. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

The probability that a z-score from a standard normal distribution would be less than 0.4 standard deviation above the mean can be calculated using a standard normal distribution table or calculator. This probability can be found by calculating the area under the standard normal distribution curve to the left of the z-score of interest.Using a standard normal distribution table or calculator, the probability of a z-score from a standard normal distribution being less than 0.4 standard deviation above the mean is approximately 0.6554 or 65.54%.

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The value(s) of k that make the function continuous over the given interval are k ≥ 0.

To determine the values of k that make the function f(x) continuous over the interval [0, 5] and (5, 10], we need to ensure that the function is defined and has no discontinuities at the endpoints and the transition point.

For the function f(x) = √(kx), the square root function is defined for non-negative values of its argument. Therefore, for the interval [0, 5], we require that kx ≥ 0 for all x in the interval. Since x is non-negative, it follows that k must also be non-negative or k ≥ 0.

For the interval (5, 10], the function is given by f(x) = x + 2, which is a linear function and is continuous for all real values of x. In this case, the value of k does not affect the continuity of the function.

In summary, for the function f(x) = √(kx) to be continuous over the interval [0, 5] and (5, 10], we need k to be non-negative or k ≥ 0.

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The correct answer for the equation is  \(h = -2cos(\pi t) + 5\) . The correct option is (1)

Given:

\(h= -2sin(\pi\tfrac{t}{2} )\)

Examine the answer choices:

\(h = -2cos(\pi t) + 5\)

Amplitude: |-2| = 2 (same as the given equation)

Frequency: π (same as the given equation)

Phase Shift: None (different from the given equation)

\(h = -2cos(\pi (t/2)) + 5\)

Amplitude: |-2| = 2 (same as the given equation)

Frequency: π/2 (different from the given equation)

Phase Shift: None (different from the given equation)

\(h = 2cos(\pi t) + 5\)

Amplitude: |2| = 2 (different from the given equation)

Frequency: π (same as the given equation)

Phase Shift: None (different from the given equation)

\(h = 2cos(\pi(t/2)) + 5\)

Amplitude: |2| = 2 (different from the given equation)

Frequency: π/2 (different from the given equation)

Phase Shift: None (different from the given equation)

The correct equation is \(h = -2cos(\pi t) + 5\)  .The correct option is (1).

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Answer:

minimum area: 30.40 cm²

maximum area: 30.52 cm²

Step-by-step explanation:

If you have a 3600 m³ cube, then you can fit 3600 kiloliters in the cube.

A kiloliter (kL) is defined as a unit of volume which is used to measure liquids. It is equal to 1,000 liters, and it is used to measure large volumes of water, oil, and other liquids.

We know that 1 cubic meter is equal to 1 kiloliter,

We have to convert 3600 meter cube to Kiloliter,

So , we multiply by 3600,

On multiplying,

We get,

⇒ 3600 meter cube = 3600 × 1 Kiloliter,

⇒ 3600 meter cube = 3600 Kiloliter,

Therefore, 3600 Kiloliter can fill in the cube having the volume as 3600 meter cube.

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Answer:

y=-¹/₃x+5

Step-by-step explanation:

y=ax+b

(0,5) (6,3)

x=0 y=5, x=6 y=3

5=a*0+b

3=a*6+b

5=b

3=6a+b

6a+5=3

6a=-2

a=-¹/₃

y=-¹/₃x+5

The expressions which are equivalent to -4(6) are

4(-6), 6(-4) and 12(-2).

The correct answer choice is option B, C and E.

Given expression:

-4(6)

= -24

Negative times negative = positive

Negative times positive = negative

Positive times negative = negative

positive times positive = positive

Check all options:

A. -4(-6)

= 24

B. 4(-6)

= -24

C. 6(-4)

open parenthesis

= -24

D. -8(2)

= -16

E. 12(-2)

= -24

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Answer:

sup

Step-by-step explanation:

b,c,e on egde

Answer:

66 years

Step-by-step explanation:

1) Convert 1.4426 * 10^4 into a number....

     = 14426

2) Divide

14426 / 218.58  

= 65.9987190045

About 66 years

That's all you write cause they asked u in years, no month or other stuff :)

Answer:

Approximately 66 years

Step-by-step explanation:

1.4426×\(10^{4}\) mm is equal to 14,426mm

14,426mm÷218.58=65.998...≅66

Answer:

Step-by-step explanation:

To find y we use tan

tan∅ = opposite/ adjacent

From the question

8 is the adjacent

10 is the opposite

Substitute the values into the above formula

That's

\( \tan(y) = \frac{10}{8} \)

\(y = \tan^{ - 1} ( \frac{10}{8} ) \)

y = 51.34019

We have the final answer as

Hope this helps you

Step-by-step explanation:

Hey there!

Given;

-1b - 8 > -7

Take '-8' to right side.

-1b > -7+8

-1b > 1

b > -1

Hope it helps...

Answer:

19,365 is the answer

Step-by-step explanation:

If you have more questions just ask.

Using the definitions of the mean and of the standard deviation of a data-set, we have that:

When the measure of 84 is added to the data-set, we have that:

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Answer:

It is answer A) 5x^8y^8z^3 (sq rt 2y)

Step-by-step explanation:

1. Factor out the perfect square

(sqr rt) 5^2 × 2x^16 × y^16 xyz^6

2. Split each factor to their own square root

3. Simplify these roots

Answer:

A

Step-by-step explanation:

First let's factor 50. This will look like this: 2*5*5. Since there are two 5s, together they form a perfect square so we can bring it out of the square root. This is what we have so far now: \(5\sqrt{2x^{16} y^{17} z^{6} }\). Now we should move on to \(x^{16}\), since 16 is an even number, we can just divide it in half and put x to the power of 16/2 outside the square root. This is what we have so far: \(5x^{8} \sqrt{2y^{17}z^{6} }\). Now let's work on \(y^{17}\). Since 17 is an odd number, we will separate it like this: 16 + 1. Now we can divide 16 by 2 and put y to the power of 16 divided by 2 outside of the square root, but the last \(y^{1}\) will need to continue inside. So this is what we have so far: \(5x^{8}y^{8} \sqrt{2y z^{6}}\). Now all we have to do is take care of the \(z^{6}\). Since 6 is even we can just divide it by 2 and put the z to the power of 6 divided by 2 outside of the square root. This is what we have: \(5x^{8}y^{8} z^{3} \sqrt{2y}\).

We are done!

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The dimensions of the playground that maximize the total enclosed area is 100 feet.

Let,

L= length of entire playground

W = width of entire playground

Assume the dividing fence is parallel to the width.

Total fencing required

2L + 3W = 400

L= (400 − 3W)2

Area of entire playground,

A= L × W

= (400−3W)/2⋅W

= −3/2W^2 + 200W

Maximum area will occur at a point where the derivative of the area is equal to zero.

dA/dW = −3W+  200 = 0

W = 66 2/3

Substituting 91 1/3 for W in 2L + 3W = 400

gives

2L = 200

L = 100

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Answer:

15.81 = ?

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

9^2 + 13^2 = ?^2

81 +169 = ?^2

250 = ?^2

Taking the square root of each side

sqrt(250) =?

15.8113883= ?

To the nearest 100th

15.81 = ?

Answer:

Using Pythagorean theorem:- \(a^{2} +b^{2} =c^{2}\)

a= 13

b= 9

c= ? ( length)

\(13^{2} +9^{2} =?^{2}\)

\(13^{2} =169\)

\(9^{2} =81\)

\(169+81=?^{2}\)

\(250=?^{2}\)

\(\sqrt{250}=15.811\)

\(?=15.81\)

OAmalOHopeO

Median is better than mean as it is not affected by extremely high or low values in the same way that the mean is

The median is a measure of central tendency, like the mean, but it is not affected by extremely high or low values in the same way that the mean is. Because of this, the median is often a better measure of central tendency when there are outliers in the data, or when the data is skewed (not normally distributed). For example, consider the following set of numbers: 1, 2, 3, 100. The mean of these numbers is 26, but the median is 3, which is a better representation of the "typical" value in this set.

However, the mean is still a useful measure and has its own advantages. For example, the mean is sensitive to every value in the data set, so it can provide a more comprehensive summary of the data. Additionally, the mean is easier to work with mathematically than the median, so it is often used in statistical tests and calculations.

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The effective mass on the opposite end of the lever is 4 kg and distance is given, which is incorrect as option D is 25 kg otherwise all option is correct .

In the given scenario, a 2 kg mass is placed at the end of a lever, which is 20 cm from the pivoting point. If the mass is transferred to the other side of the lever, which is 10 cm from the pivot,

Let's find out.The effective mass on the opposite end of the lever can be found using the following formula:

= Mass × distance of its center of gravity from the pivot

Let M be the effective mass that we have to find. Then, we have:

2 kg × 20 cm

= M × 10 cm40 cm

= 10 M4

= MM

= 4

Therefore, the effective mass is 4 kg. Hence, option D. 25 kg is incorrect as the effective mass is 4 kg.

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