The last factor of 30 in the first multiple of 30 is the same number what is it

Answer:Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.

Answer:Yes

Step-by-step explanation:

1) Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.

2) Mwamini can drink 2 liters of water and 1 liter of juice  within her time limit.

"It is a mathematical statement of an order relationship (greater than, greater than or equal to, less than, or less than or equal to) between two algebraic expressions."

For given question,

We have been given an inequality 25W + 40J < 120

W represent the number of liters of water and J represent the number of liters of juice.

Mwamini drinks water at a rate of 25 seconds per liter.

Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.

If Mwamini drinks 2 liters of water and 1 liter of juice.

Here, W = 2 lit and J = 1 lit

So, ⇒ 25W + 40J

     = 25(2) + 40(1)

     = 50 + 40

     = 90

      < 120

This means, Mwamini can drink 2 liters of water and 1 liter of juice  within her time limit.

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Answer:

one forty fifth times five equals one ninth

Step-by-step explanation:

In division, the number being divided is the dividend or numerator, the denominator is the number we use to do the division while the result is the quotient and there may be a reminder.

For example, if

a/b = c

then

a = b * c

hence

1/9  ÷ 5

= 1/9 * 1/5

= 1/45

This means that

1/45 * 5 = 1/9

Hence the related multiplication equation related to the division equation one ninth ÷ 5 is one forty fifth times five equals one ninth

Division expression are the expression in which one number is divided by other. Multiplication equation is related to the division equation one ninth divided by five is one forty fifth times five equals one ninth. Thus the option 2 is the correct option.

The given division equation is the fraction 1/9 divided by the number 5. That is,

\(\dfrac{\dfrac{1}{9} }{5} =\dfrac{1}{45} \)

Division expression are the expression in which one number is divided by other

1) Five times one twenty fifth equals one ninth-This can be written as,

\(5\times \dfrac{1}{25} =\dfrac{5}{25} \)

\(5\times \dfrac{1}{25} =\dfrac{1}{5} \)

Which is not equal to the the given division expression.

2) One forty fifth times five equals one ninth-This can be written as,

\(\dfrac{1}{45}\times5 =\dfrac{1}{9} \)

This is equal to the the given division expression.

3) One forty fifth times one fifth equals one ninth-This can be written as,

\( \dfrac{1}{45}\times\dfrac{1}{5} =\dfrac{1}{225} \)

Which is not equal to the the given division expression.

4) Five times one fifteenth equals one ninth-This can be written as,

\(5\times \dfrac{1}{15} =\dfrac{1}{3} \)

Which is not equal to the the given division expression.

Hence multiplication equation is related to the division equation one ninth divided by five is one forty fifth times five equals one ninth. Thus the option 2 is the correct option.

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The perimeter of the triangle OQR is 68 cm

From the question, we have the following parameters that can be used in our computation:

Circles with the centers O, Q and R

When these centers are connected, the connection forms a triangle

The triangle OQR

Also from the question, we have the following values of radii

Radii = 8 cm, 11 cm and 15 cm

The perimeter of the triangle OQR is calculated as

Perimeter = Twice the sum of the radii

Substitute the known values in the above equation, so, we have the following representation

Perimeter = 2 *(8 + 11 + 15)

Evaluate the sum

Perimeter = 2 * 34

Evaluate the products

Perimeter = 68

Hence, the perimeter is 68 cm

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Answer:

-4.375

.......................

Answer:

zero

Step-by-step explanation:

This flat horizontal line is Y=1 has a slope (rate of change) of zero.

The transformation represents a reflection over the y = × line.

A. (x, y) → (-x, y)

A reflection over the y-axis is a transformation that flips a point or shape across the vertical line y = 0.

This means that points on the right side of the y-axis will be reflected to the left side, and vice versa.

Let's examine each option to determine which one represents a reflection over the y-axis.

A. (x, y) → (-x, y):

This transformation reflects the point across the y-axis.

For example, if we have a point (3, 2), after applying this transformation, it becomes (-3, 2).

This represents a reflection over the y-axis.

B. (x, y) → (-x, -y):

This transformation not only reflects the point across the y-axis but also flips it vertically.

For example, if we have a point (3, 2), after applying this transformation, it becomes (-3, -2).

This represents a reflection over the y-axis.

C. (x, y) → (y, x):

This transformation swaps the x and y coordinates of a point, which does not represent a reflection over the y-axis.

Instead, it represents a 90-degree rotation of the point.

D. (x, y) → (y, -x):

This transformation swaps the x and y coordinates of a point and negates the new x-coordinate.

It does not represent a reflection over the y-axis.

Instead, it represents a 90-degree rotation of the point in the counterclockwise direction.

Based on the explanations above, both options A and B represent a reflection over the y-axis.

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Answer:

3000 in3 ? I haven't actually done this i-ready before- but I believe it's

Width x Length x Height = Final result?

Step-by-step explanation:

Based on an exponential growth function, P = 6,000 (1.15)ⁿ, the population of the town with an initial population of 6,000 growing at 15% annually after n years is 15,960.

An exponential growth function is one of the two exponential functions, including an exponential decay function.

An exponential growth function is written in the form of y = abˣ, where y is the ending value after time x (the exponent), a is the initial value, and b is the growth factor based on a constant rate of growth.

The current population of the town = 6,000

The growth rate per year = 15% = 0.15

Growth factor = 1.15 (1 +1.15)

The number of years of growth, n = 7 years

P = 6,000(1.15)ⁿ

P = 6,000(1.15)⁷

P = 15,960

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a) 0.36 Just notation, that is the square of sin(angle)

b) 0.36 Just notation, that is the square of sin(angle)

c) Impossible with no calculator

d) sqrt(1-0.36) = 0.8 (Trigonometric identity )

e) 3*(0.8)^2 = 1.92 Just doing arithmetic operations

f) (3*0.8)^2 = 5.76 Just doing arithmetic operations

cos(3 pi/4) = -sqrt(2)/2

sin(11*pi/6) = -1/2

sin(-2*pi/3) = -sqrt(3)/2

tan(5pi/4) = 1

All of those results are based on trigonometric identities

cos(angle) = sqrt(1 - (5/13)^2) = 0.92

tan(angle) = (5/13)/0.92=0.41

Answer: A

2". 1. 0 a. Put a square box at the origin of the number line. b. Plot point C so it is located at 2 ... d. Plot a point at the midpoint of C and E. Label it H. Lesson 2. 1. Name the ... 2. Line & passes through point H and is parallel to the y-axis. Construct line l.



Step-by-step explanation:



Step-by-step explanation:

Answer:

Step-by-step explanation: 6.140

Answer:

9th of this week

Step-by-step explanation:

what what do I do now to make mys

elf I know you and

Answer: C

Step-by-step explanation:

Walking the dog and getting a call on your cell phone are independent events.

What are independent and dependent event?

Dependent events are those events that are affected by the outcomes of events that had already occurred previously. i.e. Two or more events that depend on one another are known as dependent events.

Independent events are those events whose occurrence is not dependent on any other event. If the probability of occurrence of an event A is not affected by the occurrence of another event B, then A and B are said to be independent events.

According to the given question:

Let walking the dog be event A and getting a call on your cell phone be event B.

Clearly event A and B are not related in any way.

Hence Walking the dog and getting a call on your cell phone is an independent event.

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The maximum lower bound and minimum upper bound for the median number of points the basketball player scored over his last 21 games are:

Lower bound = 9.5

Upper bound = 30

In basketball, players can score 1, 2, 3 (or even 4 or 5 points) during a possession.

Players who score five points are fouled in the act of shooting a three-pointer and making the shot.

Players who score four points attempt a three-pointer and make the subsequent foul shot.

Players who score three points go beyond the 3-point line, in bounds.  

Players who score two points go inside the 3-point line, in bounds.

Players who score one point make free throws.

Basketball scores =  1, 2, 3, 4, 5 points

Median = 3 per possession

9.5   10  12.5   15   15.5   18.5   20  21.5  25    26   30    30

Thus, the maximum lower bound and minimum upper bound for the median number of points the basketball player scored over his last 21 games are 9.5 and 30.

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Relative Frequency of Scores

30 30 26 25 20 15 10 9.5 12.5 15.5 18.5 21.5

Answer:

Step-by-step explanation:

lets begin by adding 5 and 2

=7

now the difference between 5 and 2 is 3

so we know that 3/7 is 51

lets divide everything by 3 to get 1/7

1/7 is 17

now lets do

17 x 7 to find the total bats saved

= 119

Answer:

119

Step-by-step explanation:

1.) The probability that the sample mean will be greater than 48 minutes is 0.9332.

2.) The probability of the sample mean being between 44 and 49 minutes is 0.6687.

3.) The z-score of 10 indicates that the sample mean of 65 minutes is 10 standard deviations above the population mean.

To solve this problem, we can use the Central Limit Theorem (CLT), which states that the distribution of sample means tends to be approximately normally distributed, regardless of the shape of the original population, when the sample size is large enough.

1.) Probability of sample mean > 48 minutes:

To calculate this probability, we need to standardize the sample mean using the formula: z = (x - μ) / (σ / √n), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

In this case, the population mean (μ) is 45 minutes, the population standard deviation (σ) is 12 minutes, and the sample size (n) is 36. We want to find the probability of the sample mean being greater than 48 minutes.

Calculating the z-score:

z = (48 - 45) / (12 / √36) = 3 / 2 = 1.5

Using a standard normal distribution table or calculator, we find that the probability corresponding to a z-score of 1.5 is approximately 0.9332. Therefore, the probability that the sample mean will be greater than 48 minutes is approximately 0.9332.

2.) Probability of sample mean between 44 and 49 minutes:

To calculate this probability, we need to find the z-scores for both 44 and 49 minutes and then calculate the area between those z-scores.

Calculating the z-scores:

For 44 minutes:

z1 = (44 - 45) / (12 / √36) = -1 / 2 = -0.5

For 49 minutes:

z2 = (49 - 45) / (12 / √36) = 4 / 2 = 2

Using the standard normal distribution table or calculator, we find the probabilities corresponding to z1 and z2:

P(z < -0.5) ≈ 0.3085

P(z < 2) ≈ 0.9772

The probability of the sample mean being between 44 and 49 minutes is approximately P(-0.5 < z < 2) = P(z < 2) - P(z < -0.5) ≈ 0.9772 - 0.3085 = 0.6687.

3.)Conclusion from 100 samples with a mean of 65 minutes:

If 100 samples were collected, and the sample mean was 65 minutes, we would need to assess whether this value is significantly different from the population mean of 45 minutes.

To make this assessment, we can calculate the z-score for the sample mean of 65 minutes:

z = (65 - 45) / (12 / √36) = 20 / 2 = 10

The z-score of 10 indicates that the sample mean of 65 minutes is 10 standard deviations above the population mean. This is an extremely large deviation, suggesting that the sample mean of 65 minutes is highly unlikely to occur by chance.

Given this, we can conclude that the sample mean of 65 minutes is significantly different from the population mean. It may indicate that there is a systematic difference in the delivery times between the sample and the population, possibly due to factors such as increased demand, traffic, or other external variables

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Here is the final matching of multiplication expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173

81.4 x 32.1 ≈ 2,618

32.9 x 4.81 ≈ 158

46.7 x 31.7 ≈ 1,479

59.3 x 3.57 ≈ 212

Match each multiplication expression on the left with the best estimate of its product on the right:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9

81.4 x 32.1

32.9 x 4.81

46.7 x 31.7

59.3 x 3.57

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

Estimates for the remaining expressions:

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

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Answer:38

Step-by-step explanation:just cause its correct

(3,1),(4,-2),(-5,4),(4,-1),(-1,-2) match with the given coordinates of the graph thus option (B) will be correct.

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane.

As per the given coordinates,

The coordinate is the representation of horizontal and vertical distinctions.

The (3,1) is the point that is 3 grid right or horizontal and 1 unit up or vertical from the origin.

Hence "(3,1),(4,-2),(-5,4),(4,-1),(-1,-2) match with the given coordinates of the graph".

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We can solve this question by using concept of Ratios and Proportions. The answer for Part A is 3.4% and answer for Part B is 4.6%.

Let's discuss proportions and ratios. We use miles per hour (mph) to describe the speed of an automobile or an airplane. This is a kind of ratio and is referred to as a rate. In the case of miles per hour, where we compare miles and hours, a ratio provides a means to compare two quantities by employing division.

There are three methods to express a ratio, and each one is read as "the ratio of x to y." Contrarily, a percentage is an equation that states that two ratios are equal. For instance, saying that two packages of cookie mix would provide 40 cookies is equivalent to saying that one package of cookie mix yields 20 cookies.

Part-A)

Computer

⇒10*0.2+2*0.5 - 4*1.3 =1.8

Financial

⇒8*0.2+5*0.5 - 3*0.3 =3.2

Manufacturing

⇒6*0.2+4*0.5 - 2*0.3=2.6

Pharmaceuticals

⇒6*0.2+5*0.5-1*0.3=3.4

Preffered Market: Pharmaceuticals

expected return :3.4%

Part-B)

Computer

⇒10*0.4+2*0.4 - 4*0.2=4

Financial

8*0.4+5*0.4-3*0.2=4.6

Manufacturing

6*0.4+4*0.4 -2*0.2=3.6

Pharmaceuticals

6*0.4+5*0.4-1*0.2=4.2

preffered market=finacial

expected return=4.6%

We can solve this question by using concept of Ratios and Proportions. The answer for Part A is 3.4% and answer for Part B is 4.6%.

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Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.

We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.

Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.

Therefore,  y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.

Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.

Simplifying, we have :3x = $90000 + 75 = $90075.

Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.

Therefore, Jane received $30025 and Lydia received $60000.

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The period of the function f(t) = 2.3cos(0.25t) is 8π. Hence, the correct answer is d) period 8π.

To determine the period of the function f(t) = 2.3cos(0.25t), we need to consider the coefficient of t inside the cosine function.

In this case, the coefficient is 0.25, which represents the frequency of the cosine function. The period of a cosine function is given by the formula T = 2π/frequency.

Using this formula, we can calculate the period of the function f(t) as follows

T = 2π / 0.25

T = 8π

Therefore, the period of the function f(t) = 2.3cos(0.25t) is 8π.

Hence, the correct answer is d) period 8π.

The period of a function represents the length of one complete cycle or the distance between two consecutive identical points on the graph of the function. In this case, the function is a cosine function, and the period determines how long it takes for the function to repeat its values

The coefficient 0.25 in the function f(t) = 2.3cos(0.25t) affects the frequency of the cosine function. A smaller coefficient results in a slower oscillation, while a larger coefficient leads to a faster oscillation. In this case, since the coefficient is 0.25, it means that the function completes one full cycle within 8π units of time.

Understanding the period of a function is crucial for analyzing its behavior, identifying the frequency of oscillation, and studying its repetitive patterns.

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Answer:

18÷4×3=13.5

so 13.5 is the answer

Answer:

13.5 or 13 \(\frac{1}{2}\) or \(\frac{27}{2}\)

Step-by-step explanation:

We can setup this by turning 18 into a fraction. \(\frac{3}{4} * \frac{18}{1}\). All we need to do is multiply the numerators and the denominators together to get \(\frac{54}{4}\). We can now divide 54 by 4 to get 13.5. 13.5 or 13 1/2 or 27/2 is your final answer.

Answer:

The answer is 16pi or 50.3cm² to 1 d.p

Step-by-step explanation:

The non shaded=area of shaded

d=8

r=d/2=4

A=pir³

A=p1×4²

A=pi×16

A=16picm² or 50.3cm² to 1d.p

Answer:

3.45 cm (3 s.f.)

Step-by-step explanation:

We have been given a 5-sided regular polygon inside a circumcircle. A circumcircle is a circle that passes through all the vertices of a given polygon. Therefore, the radius of the circumcircle is also the radius of the polygon.

To find the radius of a regular polygon given its side length, we can use this formula:

\(\boxed{\begin{minipage}{6 cm}\underline{Radius of a regular polygon}\\\\$r=\dfrac{s}{2\sin\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

Substitute the given side length, s = 8 cm, and the number of sides of the polygon, n = 5, into the radius formula to find an expression for the radius of the polygon (and circumcircle):

\(\begin{aligned}\implies r&=\dfrac{8}{2\sin\left(\dfrac{180^{\circ}}{5}\right)}\\\\ &=\dfrac{4}{\sin\left(36^{\circ}\right)}\\\\ \end{aligned}\)

The formulas for the area of a regular polygon and the area of a circle given their radii are:

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{nr^2\sin\left(\dfrac{360^{\circ}}{n}\right)}{2}$\\\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a circle}\\\\$A=\pi r^2$\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Therefore, the area of the regular pentagon is:

\(\begin{aligned}\textsf{Area of polygon}&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(\dfrac{360^{\circ}}{5}\right)}{2}\\\\&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(72^{\circ}\right)}{2}\\\\&=\dfrac{\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}}{2}\\\\&=\dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}\\\\&=110.110553...\; \sf cm^2\end{aligned}\)

The area of the circumcircle is:

\(\begin{aligned}\textsf{Area of circumcircle}&=\pi \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\\\\&=\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\&=145.489779...\; \sf cm^2\end{aligned}\)

The area of the shaded area is the area of the circumcircle less the area of the regular pentagon plus the area of the small central circle.

The area of the unshaded area is the area of the regular pentagon less the area of the small central circle.

Given the shaded area is equal to the unshaded area:

\(\begin{aligned}\textsf{Shaded area}&=\textsf{Unshaded area}\\\\\sf Area_{circumcircle}-Area_{polygon}+Area_{circle}&=\sf Area_{polygon}-Area_{circle}\\\\\sf 2\cdot Area_{circle}&=\sf 2\cdot Area_{polygon}-Area_{circumcircle}\\\\2\pi r^2&=2 \cdot \dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\\end{aligned}\)

                                                 \(\begin{aligned}2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)-16\pi}{\sin^2\left(36^{\circ}\right)}\\\\r^2&=\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}\\\\r&=\sqrt{\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}}\\\\r&=3.44874763...\sf cm\end{aligned}\)

Therefore, the radius of the small circle is 3.45 cm (3 s.f.).

Given that g(x) =f(kx). The graph of function g is graph Z Because the graph a function g is the result of a horizontal compression applied to the graph of function F.

A graph can be described  as a pictorial representation or a diagram that represents data or values in an organized manner.

The graph of the function g(x) = f(kx) is obtained from the graph of f(x) by a horizontal compression or stretching, depending on the value of k.

In conclusion, If k is greater than 1, then the graph of g(x) is obtained from the graph of f(x) by a horizontal compression.

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The expression for the total number of packets of crisps that Jane buys is given as follows:

p + c.

The amounts of packets of crisps purchased are given as follows:

The expression for the total number of packets of crisps that Jane buys is given by the addition of these two amounts.

Hence the expression for the total number of packets of crisps that Jane buys is given as follows:

p + c.

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Answer:

13 Compute using the 2 right angles, we know that m<FIG=90* and

After handling raw meat the food preparer should: wash hands with soap.

It is important that after handling raw meat the food preparer should endeavor to wash his/her with soap and water and  dry your hand with a clean towel.

Washing of hand with soap will help to prevent bacteria based on the fact that  raw meats can contaminate the area you place your hands on which is why it is advisable to wash your hands after handling raw meat.

Therefore after handling raw meat the food preparer should: wash hands with soap.

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