Question 12 Tony bought a tomato plant. When he bought it, he measured it to be 8 inches tall . Each week he measured it again and noticed that it was 2 inches taller every time. Create a graph to model the situation. Letx be the number of weeks and let y be the total height weeks of the plant. #

Answer:

B. 3/8

Step-by-step explanation:

Answer:

18%

Step-by-step explanation:

If you ever wondered how to write 0.18 as a percent, you are not alone. Many people struggle with this simple math problem, but don't worry, I'm here to help. The trick is to multiply 0.18 by 100 and add the percent sign. Sounds easy, right? Well, let's see how it works. First, we need to move the decimal point two places to the right to get 18. Then, we need to add the percent sign (%) to show that it is a percentage. So, 0.18 = 0.18 x 100% = 18%. Congratulations, you have just learned how to write 0.18 as a percent! Now you can impress your friends and teachers with your math skills. Just don't ask me how to write 0.18 as a fraction, because that's a whole different story.

To use a model to represent the number, we can use a grid of 100 squares and shade 18 of them. For example, the model below shows that 18% of the grid is shaded. It also shows that I have a lot of free time and a very artistic sense of humor. I could have just written 0.18 or 18/100, but where's the fun in that? This way, you can see how much 18% really is and also enjoy my beautiful masterpiece.

✧☆*: .｡. That's all folks, have fun with math! (✧ω✧) .｡.:*☆✧

Approximately 68% of the data in a normal distribution lies within one standard deviation from the mean according to the empirical rule.

According to the empirical rule, which applies to a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. Specifically, 68.27% of the data falls within one standard deviation of the mean, which means that if the distribution is bell-shaped, the data is symmetrically distributed around the mean and most of the data is clustered within one standard deviation from the mean.

The empirical rule also states that approximately 95% of the data falls within two standard deviations of the mean, and about 99.7% of the data falls within three standard deviations of the mean.

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The average rate of change on the interval [2, 4] is 56

Here we have the function:

f(x) = 2x^3 + 1

And we want to find the rate of change on the interval [2, 4].

Remember that for a function f(x) the rate of change on an interval [a, b] is.

R = ( f(b) - f(a))/(b - a)

Then in this case, the rate of change is:

R = [ f(4) - f(2)]/[4 - 2] = ( 2*4^3 + 1 - 2*2^3 - 1)/2 = (4^3 - 2^3) = 56

So the rate is 56.

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The odds of hitting an asteroid in the asteroid belt are quite low.

To explain this further, let's consider the following steps:

In summary, the odds of hitting an asteroid in the asteroid belt are quite low due to the vast distances between individual asteroids and the ability to carefully plan spacecraft trajectories.

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For the given groups, the degrees of freedom is obtained to be, Option (b) : 60.

What is degrees of freedom?

The number of variables that can vary in a calculation is represented by the degrees of freedom, which are mathematical notions used in statistical calculations. Among other tests, degree of freedom calculations can help confirm the validity of chi-square test statistics, t-tests, and highly f-tests.

The formula for degrees of freedom in a two-sample t-test with independent samples is -

df = (n1 - 1) + (n2 - 1)

where n1 and n2 are the sample sizes of the two groups.

Substituting n1 = 32 and n2 = 30, we get -

df = (32 - 1) + (30 - 1)

= 31 + 29

= 60

Therefore, the associated degrees of freedom is 60.

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Answer:

Volume of rectangular prism = 1200 cubic inches

Step-by-step explanation:

Given that:

Length of rectangular prism = 10 inches

Width of rectangular prism = 8 inches

Height of rectangular prism = 15 inches

Volume of rectangular prism = Length * Width * Height

Volume = 10 * 8 * 15

Volume = 1200 cubic inches

Hence,

Volume of rectangular prism = 1200 cubic inches

Answer:

1: less

2: lesser

Step-by-step explanation:

We can complete the statement as -

Even though |−300| is greater than |−100|, a $100 debt is a less debt than a $300 debt.

The absolute value of a number is the magnitude of number. Absolute value describes the distance from zero that a number is on the number line, without considering direction.

We have a inequality statement that compares the magnitude of two lowest balances as -

|−300| > |−100|

For a number [x], such that [x] < 0, the absolute value would be -

v[a] = -x

So -

for x = |- 300| = 300

and

for x = |- 100| = 100

On comparing -

300 > 100

We can complete the statement as -

Even though |−300| is greater than |−100|, a $100 debt is a less debt than a $300 debt.

Therefore, we can complete the statement as -

Even though |−300| is greater than |−100|, a $100 debt is a less debt than a $300 debt.

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Answer:

5x - 9 = 2x + 23

Step-by-step explanation:

5 times a number is represented by 5x, with x representing the unknown number.  

5x decreased by 9 is (5x - 9) since 9 is being subtracted by 9.  

(5x - 9) is equal to twice the number (2x), increased by 23.  

So, the equation is (2x + 23).  

Therefore, 5x - 9 = 2x + 23

The equation is 5x - 9 = 2x + 23.

The answer is option A.

5 times a number is represented by 5x, with x representing the unknown number.  

5x decreased by 9 is (5x - 9) since 9 is being subtracted by 9.  

(5x - 9) is equal to twice the number (2x), increased by 23.  

So, the equation is (2x + 23).  

Therefore, 5x - 9 = 2x + 23

An equation is a mathematical announcement this is made up of expressions related to the same signal. For instance, 3x – 5 = 16 is an equation. Fixing this equation, we get the price of the variable x as x = 7.

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Pregnancy is a physiological state where a woman carries a developing embryo or fetus within her uterus. It is an important stage in a woman's life that comes with various physical, emotional, and psychological changes. One of the earliest indicators of pregnancy is a missed menstrual period. However, there are other signs and symptoms that can confirm the presence of pregnancy. The correct answer is C) palpable fetal movement.

In the given options, all of the choices are potential signs of pregnancy, but only one of them can confirm the pregnancy. The correct answer is C) palpable fetal movement. This is because fetal movements are usually first felt by the mother between 16-25 weeks of pregnancy, indicating the presence of a growing fetus. This is a definitive sign of pregnancy that is not present in any other condition.

A missed menstrual period (option A) can be a strong indication of pregnancy, especially if the woman has regular menstrual cycles. However, it is not definitive as menstrual irregularities can be caused by various factors, such as stress or hormonal imbalances.

Abdominal enlargement (option B) can also be a sign of pregnancy, but it is not definitive as it can be caused by other factors, such as weight gain or bloating.

Morning sickness (option D) is a common symptom of pregnancy, but it is not definitive as it can also be caused by other factors, such as gastrointestinal disorders or food poisoning.

It is important to note that there are various other signs and symptoms of pregnancy, such as breast tenderness, fatigue, frequent urination, and food cravings or aversions. However, none of these symptoms are definitive on their own, and a confirmatory diagnosis of pregnancy can only be made through medical tests such as a urine or blood pregnancy test, or an ultrasound.

Overall, while the signs and symptoms of pregnancy can vary from woman to woman, it is important to seek medical advice and guidance if you suspect you are pregnant or have any concerns about your reproductive health.

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The answer for the given probability is none of the above.

The distribution of sample means follows a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

Therefore:

mean = 12 ounces

standard deviation = 0.12 ounces

sample size = 625 cans

sample mean = 11.994 ounces

The z-score for a sample mean of 11.994 ounces is:

z = (sample mean - population mean) / (population standard deviation / sqrt(sample size))

z = (11.994 - 12) / (0.12 / sqrt(625))

z = -2.5

We want to find the probability that the sample mean is less than 11.994 ounces, which is equivalent to finding the area under the standard normal distribution to the left of z = -2.5.

Using a standard normal distribution table or calculator, we find that this probability is approximately 0.0062.

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Answer:

Step-by-step explanation:

The cost = x * (1 + 0.075) = x * 1.075 = 1.075*x

A baseball bat strikes a ball with an average force of 2.0 x 104 Newtons. if the bat stays in contact with the ball for a distance of 5.0 x 10-3 meter , then the kinetic energy will be 2× 10^2 J

kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.

In classical mechanics, the kinetic energy of a non-rotating object of mass m traveling at a speed v is 1/2 mv²

Favg= -1/2 MV2

Favg = -1 2 ( 5.0 x 10-3)^2

Favg = - 1/2 ×25 × 10 ^-6

Favg = 2× 10^2 J

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The shaded area between the two hexagons is 128√3 square feet.

A regular polygon is a two-dimensional shape with straight sides, where all sides are of equal length and all angles between the sides are of equal measure.

The center-to-vertex distance of the small hexagon is given as 4 ft. This means that the side length of the small hexagon is 4 ft/√3 or (4√3)/3 ft.

The distance between the small and larger hexagons is also given as 4 ft. This means that the radius of the circle circumscribing the larger hexagon is (4√3)/3 + 4 ft.

The formula for the area of a regular hexagon is:

Area = (3√3 / 2) × (side length)²

For the smaller hexagon, the side length is (4√3)/3 ft, so its area is:

Area of smaller hexagon = (3√3 / 2) × [(4√3)/3]²= 16√3 ft²

For the larger hexagon, the side length is the distance from the center to a vertex, which is the radius of the circle circumscribing the hexagon. So the area of the larger hexagon is:

Area of larger hexagon = (3√3 / 2) × [(4√3)/3 + 4]² = 144√3 ft²

Therefore, the area between the two hexagons is:

Area = Area of larger hexagon - Area of smaller hexagon

Area = 144√3 - 16√3

Area = 128√3 square feet

So the area between the two hexagons is 128√3 square feet.

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The area of John's actual bedroom is 120 square feet.

What is Scale factor?

Scale factor is a mathematical concept that is used to describe the ratio of corresponding dimensions of two similar figures. In geometry, two figures are said to be similar if they have the same shape but possibly different sizes. The scale factor is the ratio of the length of a side (or any corresponding dimension) of one figure to the length of the corresponding side (or dimension) of the other figure.

If John used a scale of 3 inches = 2 feet, then we can convert the dimensions of the drawing to the actual dimensions of his bedroom using the scale factor:

1 inch on the drawing corresponds to 2/3 feet in reality.

So, the actual width of the bedroom is:

15 inches × (2/3 feet/inch) = 10 feet

And the actual length of the bedroom is:

18 inches × (2/3 feet/inch) = 12 feet

The area of the bedroom is the product of its actual length and width:

Area = length × width = 12 feet × 10 feet = 120 square feet

Therefore, the area of John's actual bedroom is 120 square feet.

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The size of the squares should be 3 inches in order to create a box with the largest possible volume.

If squares of equal sizes are to be cut out from the four corners so the four sides can be bent upwards, then the length of these squares will be the height of the box. Also twice of this length subtracted from the initial length and width of the material will be the new length and width of the box, respectively.

let x = length of square to be cut = height of the box

length of the box = 30 - 2x

width of the box = 14 - 2x

The volume of the box, which is a rectangular prism, is the product of the length, height and width.

V = l x w x h

V = (30 - 2x)(14 - 2x)(x)

V = 420x - 88x² + 4x³

To obtain the largest volume possible, the first derivative of the volume should be equal to zero.

V'(x) = 0

V = 420x - 88x² + 4x³

420 - 176x + 12x² = 0

Simplify and solve for the value of x.

12x² - 176x + 420 = 0

3x² - 44x + 105 = 0

(3x - 35)(x - 3) = 0

x = 35/3   ;   x = 3

Check each value.

When x = 35/3 = h

l = 30 - 2x = 20/3

w = 14 - 2x = -28/3 ( length should be positive)

When x = 3 = h

l = 30 - 2x = 24

w = 14 - 2x = 8

Hence, the length of square to be cut  is 3 in.

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Adding 1/3 and 1/4 gives 7/12, and working out 2/5 of 8 gives 3.2. These calculations involve basic fraction arithmetic

To add 1/3 and 1/4, we need to find a common denominator. The least common multiple of 3 and 4 is 12, so we can rewrite 1/3 as 4/12 and 1/4 as 3/12. Then, adding these fractions gives:

1/3 + 1/4 = 4/12 + 3/12 = 7/12

So, 1/3 plus 1/4 equals 7/12.

To work out 2/5 of 8, we can multiply 8 by 2/5. Multiplying a fraction by a whole number is the same as dividing the whole number by the denominator of the fraction and then multiplying by the numerator. So, we have:

2/5 of 8 = 8 x 2/5 = (8 ÷ 5) x 2 = 1.6 x 2 = 3.2

Therefore, 2/5 of 8 is equal to 3.2.

In summary, adding 1/3 and 1/4 gives 7/12, and working out 2/5 of 8 gives 3.2. These calculations involve basic fraction arithmetic and can be useful in many situations, such as calculating proportions, proportions of mixtures, or determining the outcome of certain probability experiments.

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Answer:

C- 17 cm

A- 9cm

Step-by-step explanation:

C - because plus 9 and 8 is 17 cm

A - because plus 4 and 5 is 9 cm

Answer:

sorry i don,t know but i am finding

if i get then i hep you

Step-by-step explanation:

thanks and have nice day

The equation that could represent a linear combination of the system 2/3x + 5/2y = 15 and 4x + 15y = 12 is 0 = 26

Linear equations are equations that have constant average rates of change, slope or gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2/3x + 5/2y = 15

4x + 15y = 12

Multiply the first equation by 6, to eliminate the fractions.

6 * (2/3x + 5/2y = 15)

This gives

4x + 15y = 90

Subtract the equation 4x + 15y = 90 from 4x + 15y = 12

4x - 4x + 15y - 15y = 12 - 90

Evaluate the difference

0 + 0 = -78

Evaluate the sum

0 = -78

The above equation is the same equation as option (b) 0 = 26

This is so because they both represent that the system of equations have no solution

Hence, the equation that could represent a linear combination of the system is 0 = 26

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Complete question

The system of equations below has no solution.

2/3x + 5/2y = 15

4x + 15y = 12

Which equation could represent a linear combination of the system?

Speed is the rate of distance over time.

The speed of the boat is 13mph south-west

Given

\(v_1 = 12mph\) --- west

\(v_2 = 5mph\) -- south

The speed is illustrated with the attached image

Because both speeds act at a diagonal, the speed (v) of the boat is calculated using Pythagoras theorem as follows:

\(v^2 = 12^2 + 5^2\)

\(v^2 = 144 + 25\)

\(v^2 = 169\)

Take square root

\(v = \sqrt{169\)

\(v = 13\)

Hence, the speed of the boat is 13mph south-west

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Answer:

5/12

Step-by-step explanation:

4 and 3 gcf is 12
8/12 - 3/12 = 5/12

Answer:

B)

Step-by-step explanation:

let 's' = # shirts they can buy

8s + 45 ≤ 325

8s ≤ 280

s ≤ 35

they cannot purchase more than 35 shirts

first set up the equation:

let t = number of t-shirts

8t + 45 \(\leq\) 325

solve for t:

subtract 45 from both sides

8t \(\leq\) 280

divide both sides by 8

t  \(\leq\) 35

looking at the number line:

when placing this onto the numberline, there should be a close circle at 35 and the arrow should be going towards 0 to show that it is less than or equal to 35

answer: B

Answer:

x=8

y=11

Step-by-step explanation:

2(8) + 2(11) = 38

8 + 3 = 11

Answer:

(-5,1)

Step-by-step explanation:

5 units left is x axis and that is going to the negative side, down 1 unit is the y axis.

Answer:

(-5, 1)

Step-by-step explanation:

The equation to solve this would be (x - 5, y - 1), since if you are going left you subtract and if you are going right you would add and up would be add and down would be subtract. Now, you just replace the x and the y with the coords so the equation is now (0 - 5, 2 - 1) which simplifies to (-5, 1) and there's your answer! :)

The denominator degrees of freedom of the F statistic for testing the null hypothesis of homoskedasticity is equal to the number of total observations (N) minus the number of groups (k). So, it can be represented as (N - k).

The denominator degrees of freedom of the F statistic for testing the null hypothesis of homoskedasticity depend on the sample size and the number of groups being compared.

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The proof of the congruent sides RU and TS is given below.

What is congruent triangles?

In any orientation, two triangles are said to be congruent if their three sides and three angles are equal.

Therefore, if two triangles have the same number of sides on each side, they are said to be congruent. Additionally, we can determine that they are congruent if we have a side, an angle between the sides, and then another side that is congruent, in that order: side, angle, side.

Let the given figure is a rectangle RSTU.

Since the all four angles of rectangle are of 90 degree.

So, each angle of rectangle RSTU is 90 degree.

Let, US divides the angle RUT and angle RST and form two new triangles, ΔSRU and ΔSTU.

Both the triangles having same measure of angles and sides.

⇒  ΔSRU ≅ ΔSTU

As the triangles are congruent so their sides are congruent.

Hence, RU is congruent to TS.

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Answer:

75

Step-by-step explanation:

miles driven/hours= answer

Answer:

75 miles per hour

Step-by-step explanation:

miles/hours

675/9

75/1 or 75 miles / hour

Answer:the graph is not linear

Step-by-step explanation: