find the value of s when u = 14, a = 8 and t = 4. s=ut+1/2at^2

Answer:

a) 60 times

b) 0.24

c) 150 times

Step-by-step explanation:

Answer:

56 cola flavored gumboils

Step-by-step explanation:

Bob's 40 count of gumballs has 16 cola gumballs

Therefore the probability of a gumball being cola based on the sample size of Bob's purchase = 16/40 = 2/5

There are 140 gumballs left in the machine so we can expect that, on an average, 2/5 of them should be cola gumballs

So number of cola gumballs left is expected to be  2/5 x 140 = 56

This is only a prediction based on Bob's sample of 40 cola gumballs

To find the slope of a scatter plot on a TI-84 calculator, you can use the linear regression function. This function calculates the slope and y-intercept of the line of best fit for the data points on the scatter plot.

To find the slope of a scatter plot on a TI-84 calculator, you first need to enter the data into a list. Once the data is entered, you can access the linear regression function by pressing the STAT button, then scrolling over to CALC, and selecting option 4: LinReg(ax+b).

After selecting this option, you will be prompted to enter the list names for the x-values and y-values, which correspond to the independent and dependent variables, respectively. Once you have entered the list names, press enter to calculate the linear regression. The calculator will display the slope and y-intercept of the line of best fit, as well as other statistics such as the correlation coefficient and coefficient of determination.

Therefore, to find the slope of a scatter plot on a TI-84 calculator, you can use the linear regression function to calculate the line of best fit and its slope.

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Answer:

use Pythagoras therom for i number

Step-by-step explanation:

125^2- 100^2 = root under 5625 = 75

Answer:

I believe it's that Santa loses 19 cents total.

Santa lost 7 cents on Monday and 12 cents on Tuesday. 7 + 12 = 19.

Answer:

Step-by-step explanation:

To solve this problem, we need to find the Greatest Common Factor (GCF) which is the greater factor possible in common for all three numbers 5000, 2500 and 245 liters.

5,000 | 2

2,500 | 2

1,250  | 2

625    | 5

125     | 5

25      | 5

5        | 5

1

So, \(5,000 = 2 \times 2 \times 2 \times 5 \times 5 \times 5 \times 5\), \(2,500 = 2 \times 2 \times 5 \times 5 \times 5 \times 5\)

245 | 5

49   | 7

7     | 7

1

\(245 = 5 \times 7 \times 7\)

As you can observe, the greatest common factor is 5, because it's the greater number in common for all three numbers.

Therefore, the greatest recipient possible must be 5 liters capacity.

The functions f(x) = 3x - 7 and g(x) = -1/3x - 7/3 are not inverse functions of each other.

In order to determine if two functions are inverses of each other, we need to check if the composition of the functions results in the identity function.

To find the composition of f(g(x)), we substitute g(x) into f(x):

f(g(x)) = f(-1/3x - 7/3) = 3(-1/3x - 7/3) - 7 = -x - 7 + 7 = -x

Similarly, to find the composition of g(f(x)), we substitute f(x) into g(x):

g(f(x)) = g(3x - 7) = -1/3(3x - 7) - 7/3 = -x + 7/3 - 7/3 = -x

Both f(g(x)) and g(f(x)) result in -x, which is not equal to the identity function x. Therefore, f(x) = 3x - 7 and g(x) = -1/3x - 7/3 are not inverse functions of each other.

In order for two functions to be inverses, the composition of one function with the other should result in the identity function. Since that is not the case here, f(x) and g(x) are not inverses of each other.

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Step-by-step explanation:

Drone motor that has a power of 25W. 1- What will be the working voltage of said motor if it has a consumption of 1.5A? 2- What will be the resistance of said motor?

Power of drone motor is 25 W

Current flowing through the motor is 1.5 A

Power of an electrical appliance is given by :

P = VI

V = working voltage of the motor

\(V=\dfrac{P}{I}\\\\V=\dfrac{25}{1.5}\\\\V=16.67\ V\)

Voltage of the motor is 16.67 volts

Let R is the resistance of the motor. Using Ohm's law to find it as follows :

V=IR

\(R=\dfrac{V}{I}\\\\R=\dfrac{16.67}{1.5}\\\\R=11.113\ \Omega\)

Hence, this is the required solution.

Answer:

+ 64

Step-by-step explanation:

Given,

M = 2

E = 64

To find : V = ?

V = + 2E/M

V = + 2 x 64 / 2

= + 2 x 32

V = + 64

The z-values for the given situations are approximate:

a. The area to the left of z is 0.1827. z = -0.90

b. The area between −z and z is 0.9830. z = 2.17

c. The area between −z and z is 0.2148. z = 0.85

d. The area to the left of z is 0.9997. z = 3.49

e. The area to the right of z is 0.6847. z= -0.48

a. For an area of 0.1827 to the left of z, the corresponding z-value can be found using a standard normal distribution table or a statistical calculator. The z-value is approximately -0.90.

b. To find the z-value for an area between -z and z equal to 0.9830, we need to find the value that corresponds to (1 - 0.9830)/2 = 0.0085 in the upper tail of the standard normal distribution. Using the table or calculator, the z-value is approximately 2.17.

c. Similarly, for an area between -z and z equal to 0.2148, we find the value that corresponds to (1 - 0.2148)/2 = 0.3926 in the upper tail. The z-value is approximately 0.85.

d. For an area of 0.9997 to the left of z, we find the value that corresponds to 0.9997 in the upper tail. The z-value is approximately 3.49.

e. To find the z-value for an area to the right of z equal to 0.6847, we find the value that corresponds to 1 - 0.6847 = 0.3153 in the upper tail. The z-value is approximately -0.48.

In summary, the z-values for the given situations are approximate:

a. -0.90

b. 2.17

c. 0.85

d. 3.49

e. -0.48

These values can be used to determine the corresponding percentiles or probabilities for the standard normal distribution. The values are typically found using standard normal distribution tables or statistical calculators that provide the cumulative probability distribution function (CDF) for the standard normal distribution.

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Answer: Rs 7,280

Step-by-step explanation:

The technique to find tax is by multiplying the sales price and the percent of tax.

If you are still confused, I can provide some examples:

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

Given

Price: Rs 45,500

Tax: 16%

Calculate

45,500×16%=Rs 7,280

Hope this helps!! :)

Please let me know if you have any questions

Answer:

f(-3) = -16

Step-by-step explanation:

Given piecewise function is,

f(x) = 5x - 1       If x < -2

        x + 3       If x ≥ -2

We have to find the value of he function when x = -3

Since x = -3 is less than x = -2,

Piece of the function to be considered,

f(x) = 5x - 1

f(-3) = 5(-3) - 1

f(-3) = -16

We find that the approximation converges to 9.74679419, accurate to eight decimal places. So, the square root of 95, approximated using Newton's method, is 9.74679419.

Newton's method is a way to approximate the roots of a function. In this case, we want to approximate the square root of 95 correct to eight decimal places. To use Newton's method, we start with an initial guess and then apply the following formula repeatedly:
x1 = x0 - f(x0) / f'(x0)
where x0 is our initial guess, f(x) is the function we are trying to find the root of (in this case, f(x) = x^2 - 95), and f'(x) is the derivative of f(x) (which is 2x).
Let's start with an initial guess of 10:
x1 = 10 - (10^2 - 95) / (2 * 10) = 5.75
We can continue this process, plugging in our new guess into the formula each time, until we reach a value that is accurate to eight decimal places. After a few iterations, we get:
x8 = 9.74679434
This is our final answer, correct to eight decimal places.
Using Newton's method, we can approximate the square root of a number, such as 95, to eight decimal places. Newton's method is an iterative process that starts with an initial guess and refines the guess using the formula:
x1 = x0 - f(x0)/f'(x0)
For square root approximation, f(x) = x^2 - a, where a is the number we want to find the square root of (95 in this case), and f'(x) = 2x.
Let's start with an initial guess x0 = 9 (since 9^2 = 81 is close to 95). We can then perform the following iterations:
1. x1 = 9 - (9^2 - 95)/(2*9) ≈ 9.72222222
2. x2 = 9.72222222 - (9.72222222^2 - 95)/(2*9.72222222) ≈ 9.74679424
3. x3 = 9.74679424 - (9.74679424^2 - 95)/(2*9.74679424) ≈ 9.74679419
Continuing this process, we find that the approximation converges to 9.74679419, accurate to eight decimal places. So, the square root of 95, approximated using Newton's method, is 9.74679419.

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x:45 miles×36 miles x

Ratio in lowest terms:

x:x 36 miles 45 miles

Answer: An increase in demand or a reduction in supply will increase the equilibrium wage. A reduction in demand or an increase in supply will reduce the equilibrium wage.

Step-by-step explanation:

Wages in a competitive market are determined by demand and supply. An increase in demand or a reduction in supply will increase the equilibrium wage. A reduction in demand or an increase in supply will reduce the equilibrium wage.

A store sold 120 units of good A for $4 each and they sold 340 units of good B for $5 each. The given value of sales was $ 2,180.

To find out the value of sales when a store sold 120 units of good A for $4 each and 340 units of good B for $5 each, we have to calculate the total cost of good A and good B sold respectively and add them together.

Value of sales = Total cost of good A + Total cost of good B Total cost of good A

= Number of units of good A sold x Cost of each unit of good A Total cost of good A

= 120 x $4Total cost of good

A = $480

Total cost of good B = Number of units of good B sold x Cost of each unit of good B Total cost of good

B = 340 x $5

Total cost of good B = $1,700

Therefore,Value of sales = Total cost of good A + Total cost of good B Value of sales = $480 + $1,700

Value of sales = $2,180

Therefore, the value of sales was $2,180.

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The simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

To simplify the given expression, let's evaluate the square roots individually and then perform the addition.

√900 = 30, since the square root of 900 is 30.

√0.09 = 0.3, as the square root of 0.09 is 0.3.

√0.000009 = 0.003, since the square root of 0.000009 is 0.003.

Now, we can add these simplified values together

√900 + √0.09 + √0.000009 = 30 + 0.3 + 0.003 = 30.303

Therefore, the simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

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They must sample 385 subscribers to obtained this interval.

What do you mean by sample?

An outcome of a random experiment is a sample. A random variable is sampled when we choose one particular value from its range of potential values.

According to the given question,

We have:

95% confidence interval for z-score is  1.96

Using this formula to find the number of  subscribers  they must sample to obtain this interval

n≥ (zσ/2 ÷ 2ME)²

Where:

n= Sample

zσ = Z-score

ME = margin of error

Let put in the formula,

n≥ [1.96 / 2(0.05)]²

n≥ [1.96 / 0.1]²

= (19.6)²

= 384.16

=385 (Rounded)

Therefore, they must sample 385 subscribers to obtained this interval.

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In RAND function, when we click anyplace in the succeed sheet use duplicate and afterward glue as values. returns an irregular number that is more noteworthy than or equivalent to 0 and under 1.

The subject of arithmetic incorporates amounts and their varieties, conditions and related designs, shapes and their areas, and where they can be found. The expression "function" alludes to the connection between a bunch of information sources, every one of which has a related result. An association among data sources and results in which each info prompts a solitary, particular outcome is known as a capability. Each capability is given a space and a codomain, or scope. Normally, f is utilized to signify capabilities (x). input is a x. There are four fundamental sorts of capabilities open. in view of the accompanying variables: on capabilities, coordinated capabilities, many-to-one capabilities, inside capabilities, and on capabilities.

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Answer:

A

Step-by-step explanation:

Given that Ben worked 6 hours at x dollars per hour. That is,

Ben earns = 6x

Julie worked 9 hours and earned twice as much as Ben per hour. That is,

Julie earns = 9 × 2x = 18x

Phil worked 16 hours and earned 3 dollars an hour less than Julie

That is,

Phil earns = 16 × ( 2x - 3 )

= 32x - 48

Total wages = 6x + 18x + 32x - 48

Total wages = 56x - 48

Option A is therefore the best option which is the answer to the question.

Answer:

a is right trust me just took test

Step-by-step explanation:

Answer:

\(\huge\boxed{j=38}\)

Step-by-step explanation:

\(\dfrac{j}{-2}+7=-12\qquad\text{subtract 7 from both sides}\\\\\dfrac{j}{-2}+7-7=-12-7\\\\\dfrac{j}{-2}=-19\qquad\text{multiply both sides by (-2)}\\\\(-2)\!\!\!\!\!\!\!\diagup\cdot\dfrac{j}{-2\!\!\!\!\!\diagup}=(-2)(-19)\\\\j=38\)

Answer: j = 38

Step-by-step explanation: First isolate j/-2 by subtracting

7 from both sides of the equation.

That gives you j/-2 = -19.

From here, since j is being divided by -2, multiply

both sides of the equation by -2 so j = 38.

Answer: 4.5 x 1012 = 4554x

Step-by-step explanation:

5.12 x 109 = 558.08

Answer: y = 0.75x + 80

Step-by-step explanation:

let x = 1 mile

y = 0.75x + 80

The equation in point-slope form is y - 5 = (5/3)(x + 5). The general form of the equation is 5x - 3y + 40 = 0.

To find the equation of a line parallel to the given line and passing through the point (-5,5), we can use the point-slope form of a linear equation. The point-slope form is y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope of the line. First, we need to find the slope of the given line, and then we can substitute the values into the point-slope form to obtain the equation. Additionally, we can convert the equation to the general form, which is Ax + By + C = 0, by rearranging the terms.

The given line has the equation 5x - 3y - 2 = 0. To find the slope of this line, we can rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope. Rearranging the equation gives us:

-3y = -5x + 2

y = (5/3)x - 2/3

From the equation, we can see that the slope of the given line is 5/3. Since the line we want to find is parallel to this line, it will have the same slope.

Now, using the point-slope form with the point (-5,5) and the slope 5/3, we can write the equation:

y - 5 = (5/3)(x - (-5))

y - 5 = (5/3)(x + 5)

This is the equation of the line in point-slope form.

To convert it to general form, we can multiply through by 3 to eliminate the fraction:

3y - 15 = 5x + 25

5x - 3y + 40 = 0

This is the equation of the line in general form.

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Answer: 9

Step-by-step explanation:

Answer:

he's a total of 9 feet under the water

Step-by-step explanation:

(i) 2^6

(ii) 3^5

(iii) -1^14

(iv) 0.3^4

Answer:

the answer is C ik its right because i did this two days ago so im sure its C

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

3 ln 4 = 2 ln x

By using property of logarithm:

ln = ln

Cancel ln on both sides

=

64 =

x =

x = 8

The solution to the equation 3ln4 = 2lnx is {-8, 8}

Given the expression

3 ln 4 = 2 ln x.

We are to find the solution for the variable "x"

Applying the rule of logarithm, the equation will become:

ln4^3 = lnx^2

4^3 = x^2

x^2 = 64

x = 8 and -8

Hence the solution to the equation is {-8, 8}

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For n ≥ 459, Algorithm A is better than Algorithm B when B uses n√n operations.

To determine the value of n₀ for which Algorithm A is better than Algorithm B when B uses n√n operations, we need to find the point at which the number of operations for Algorithm A is less than the number of operations for Algorithm B.

Algorithm A: 10n log n operations

Algorithm B: n√n operations

Let's set up the inequality and solve for n₀:

10n log n < n√n

Dividing both sides by n gives:

10 log n < √n

Squaring both sides to eliminate the square root gives:

100 (log n)² < n

To solve this inequality, we can use trial and error or graph the functions to find the intersection point. After calculating, we find that n₀ is approximately 459. Therefore, For n ≥ 459, Algorithm A is better than Algorithm B when B uses n√n operations.

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R-1.3: For \($n \geq 14$\), Algorithm A is better than Algorithm B when B uses \($n^2$\) operations.

R-1.4: Algorithm A is always better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

R-1.3:

Algorithm A: \($10n \log n$\) operations

Algorithm B: \($n^2$\) operations

We want to determine the value of \($n_0$\) such that Algorithm A is better than Algorithm B for \($n \geq n_0$\).

We need to compare the growth rates:

\($10n \log n < n^2$\)

\($10 \log n < n$\)

\($\log n < \frac{n}{10}$\)

To solve this inequality, we can plot the graphs of \($y = \log n$\) and \($y = \frac{n}{10}$\) and find the point of intersection.

By observing the graphs, we can see that the two functions intersect at \($n \approx 14$\). Therefore, for \($n \geq 14$\), Algorithm A is better than Algorithm B.

R-1.4:

Algorithm A: \($10n \log n$\) operations

Algorithm B: \($n\sqrt{n}$\) operations

We want to determine the value of \($n_0$\) such that Algorithm A is better than Algorithm B for \($n \geq n_0$\).

We need to compare the growth rates:

\($10n \log n < n\sqrt{n}$\)

\($10 \log n < \sqrt{n}$\)

\($(10 \log n)^2 < n$\)

\($100 \log^2 n < n$\)

To solve this inequality, we can use numerical methods or make an approximation. By observing the inequality, we can see that the left-hand side \($(100 \log^2 n)$\) grows much slower than the right-hand side \($(n)$\) for large values of \($n$\).

Therefore, we can approximate that:

\($100 \log^2 n < n$\)

For large values of \($n$\), the left-hand side is negligible compared to the right-hand side. Hence, for \($n \geq 1$\), Algorithm A is better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

So, for R-1.4, the value of \($n_0$\) is 1, meaning Algorithm A is always better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

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