Write 1668 in scientific notation

The lowest odd integer is \(35\) followed by the next two odd integers in a row,\(37\) and \(39\) Thus, these are three consecutive odd integers.

Numbers that can be positive, negative, or zero but are not fractions are said to be integers. All mathematical operations, such as addition, subtraction, multiplication, and division, can be performed on integers. There are integer occurrences of \(1, 2, 5, 8, -9\), and so on. \(Z\) represents a number.

The variable for the lowest odd integer should be defined first. Assume that \(x\) is the lowest odd number.

Since there is always a \(2\) difference between two successive odd integers, the following two would be \(x+2\) and \(x + 4\)

The problem statement states that twice the smallest number \((2x)\) is \(45\)less than the total of twice the largest number  \(2(x+4)\) and twice the middle number \((x+2).\)

\(2x = (x+2) + 2 (x+4) ) - 45\)

When we simplify and find x, we obtain:

\(2x = x + 2 + 4x + 8 - 45\)

\(2x = 3x - 35\)

\(x = 35\)

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The volume of this cylinder is 1.5 times that of the cone. The cylinder volume is 452.4 in³ while the cone volume is 301.6 in³

An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.

A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 9 inches. The height of the cone is 18 inches.

Radius of cone/cylinder = diameter/2 = 8 in/2 = 4 in.

Volume of cylinder = π * radius² * height = π * (4)² * 9 = 452.4 in³

Volume of cone = (1/3) * π * radius² * height = (1/3) * π * (4)² * 18 = 301.6 in³

The volume of this cylinder is 1.5 times that of the cone

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Answer:

the percent error in the student's measurement is 4.65%.

Step-by-step explanation:

The percent error can be calculated using the formula:

| (measured value - actual value) / actual value | * 100%

In this case, the measured value is 2.7 grams and the actual value is 2.58 grams. Substituting these values into the formula, we get:

| (2.7 - 2.58) / 2.58 | * 100% = 4.65%

Rounding this to the nearest hundredth of a percent, we get a percent error of 4.65%.

Therefore, the percent error in the student's measurement is 4.65%.

Answer:

Angle 2

Step-by-step explanation:

Find S and find X.

Then find U.

The angle at X connected to S and U is the angle number.

Answer: 7

Step-by-step explanation:

We can use the Pythagorean theorem (a^2+b^2=c^2) so 25^2=625, and 24^2=576

576+b^2=625 b^2=49 b - (a)=7

Note: The first file attached contains the clear and complete question

Answer:

a) The times at which the graph of A(t) has horizontal tangent are t = 1 and t = 7

A(t) has a local maximum at t=7

A(t) has a local minimum at t=1

b) The times at which the graph of D(t) has horizontal tangent are t = 1.59 and t = 7.74

D(t) has a local maximum at t=1.59

D(t) has a local minimum at t=7.74

c) A(t) = (-t^3) + 8(t^2) -21t + 40

d) The water level in vat A is rising most rapidly at t = 4 hrs

e) 138 gallons

f) 18 gallons per hour

g) 98 gallons

Step-by-step explanation:

For clarity and easiness of expression, the calculations are handwritten and attached as files below.

Each step is neatly expressed and solutions to each part of the question are clearly written

Answer:

b. 99 out of 100.

Step-by-step explanation:

We solve for this using z score formula

z-score formula is given as:

z = (x - μ)/σ

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

a) x = 129cm, μ = 135.75cm, σ = 1.85cm

z = (129- 135.75)/1.85

z = -3.64865

Finding the Probability value of the z score from the z table:

P(x = 129) = P(z = -3.64865)

= 0.00013181

b) x = 143 cm, μ = 135.75cm, σ = 1.85cm

z = (143- 135.75)/1.85

z = 3.91892

Finding the Probability value of the z score from the z table:

P(x = 143) = P(z = 3.91892)

= 0.99996

The chances that a randomly selected widget has diameter between 129 centimeters and 143centimeters

= P(x = 143) - P(x = 129)

= P(z = 3.91892) - P(z = -3.64865)

= 0.99996 - 0.00013181

= 0.99982819

Converting to percentage

= 0.99982819 × 100

= 99.982819%

Therefore, option b. 99 out of 100 is the correct answer

Answer: 62, 63, 64, 65

Step-by-step explanation:

254/4=63.5

so, you know that

\(63.5+63.5+63.5+63.5=254\)

\(62+63+64+65=254\)

You can kind of tell by looking at the 63.5, because integer is a whole number so the two whole number above and below 63.5 would average out to 63.5

Hope this helps!

Answer:

2341.

Step-by-step explanation:

Answer:

2338

There you go

Hope this helps

Answer:

see below

Step-by-step explanation:

Pi is approximately 3.14

4*3.14 =12.56

So about halfway between 12 and 13

The ways to share 8 segment fruit worm is 495

From the question, we have

The number of ways of sharing the fruit worm is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 12 and r = 8

Substitute the known values in the above equation

Total = ¹²C₈

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 12!/8!4!

Evaluate

Total = 495

Hence, the number of ways is 495

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1. The domain for which function is one-to-one and non-decreasing [3, ∞).

2. The inverse function in the domain g(x) = √x + 3

To find a domain on which f is one-to-one and non-decreasing, we need to ensure that the function is increasing or non-decreasing (i.e., it is always moving in the positive x direction) and that each value of x maps to a unique value of f(x). A function is one-to-one if it passes the horizontal line test, meaning that every horizontal line intersects the graph at most once.

1. The function f(x) = (x-3)² has a minimum value of zero at x=3, and is   increasing on the interval (-∞, 3) and (3, ∞).

Therefore, the domain on which f is one-to-one and non-decreasing is [3, ∞).

2. To find the inverse of f restricted to this domain, we can first solve for x in terms of f(x):

f(x) = (x-3)²

√f(x) = x-3 (we take the positive square root since we're restricted to the non-negative range of f(x))

x = √f(x) + 3

Now we can define the inverse function g(x) as:

g(x) = √x + 3, where x is in the range [0, ∞).

Note that we have restricted the range of g(x) to [0, ∞) since the function f(x) is non-negative for all values of x, and therefore the inverse function must also be non-negative.

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What is cartesian plane ?

A Cartesian plane (also known as a coordinate plane or rectangular coordinate system) is a two-dimensional plane formed by two perpendicular number lines, referred to as the x-axis and the y-axis, that intersect at a point called the origin. The x-axis is a horizontal line, and the y-axis is a vertical line.

Explanation:
To plot the following points in the Cartesian plane:

{(3,6),(-8,2),(-9,-4),(2,-8)}

First, we draw the x and y axes to form a Cartesian plane.

Then, for each point, we plot the x and y coordinates on the graph. The x coordinate indicates the horizontal position of the point on the x-axis, while the y coordinate indicates the vertical position of the point on the y-axis.

The point (3,6) is plotted as a dot on the Cartesian plane located 3 units to the right of the origin on the x-axis and 6 units above the origin on the y-axis.

The point (-8,2) is plotted as a dot located 8 units to the left of the origin on the x-axis and 2 units above the origin on the y-axis.

The point (-9,-4) is plotted as a dot located 9 units to the left of the origin on the x-axis and 4 units below the origin on the y-axis.

The point (2,-8) is plotted as a dot located 2 units to the right of the origin on the x-axis and 8 units below the origin on the y-axis.

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the equation straight line y = -1/5 x + 4. of the line drawn in the picture is attached below.

What is equation straight line?

There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.

Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1).

The given equation y = -1/5 x + 4.

Here m = -1/5

and c= 4

So the plot on the graph will be as fallow.

Hence the equation of the line drawn in the picture attached below

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Answer:

50

Step-by-step explanation:

0.8 * x = 40

40/0.8=50

Check the picture below.

The difference between the depths in February and July is 31 feet.

The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:

Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.

Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.

Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.

Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.

Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.

Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.

The difference between the depths in February and July is:

|−6| − |−25| = 6 − (−25) = 6 + 25 = 31

Therefore, the correct choice is B) 31 feet.

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Answer:

y = 52

Step-by-step explanation:

y/4 - 7 = 6 (get the y isolated)

y/4 = 13 (add 7 to both sides)

y = 52 (multiply 4 on both sides)

Answer:

2/7=0.285714

Step-by-step explanation:

The daily average balance is $\(3,231.61\) (rounded to the closest penny).

With banking & accounting, the balance refers to the sum outstanding on an accounts. The term "balance" in accounting means the disparity between the total of debit and the total of credit entries made into an account over the course of a certain financial period.

Guarantees health: Your development depends on both your physical and emotional health, which also has an impact on your family's general wellbeing. Finding balance assures your personal progress, mental tranquilly, and wellbeing while assisting you in living a happy and comfortable life.

average daily balance \(=\) \((balance1 * days1 + balance2 * days2 + balance3 * days3) / total days\)

\(balance1 = 3,260\)

\(days1 = 10\)

\(balance2 = 4,420\)

\(days2 = 8\)

\(balance3 = 2,480\)

\(days3 = 13\)

\(total days = 31\)

Using the formula, we get:

average daily balance \(= (3,260 * 10 + 4,420 * 8 + 2,480 * 13) / 31\)

average daily balance \(= (32,600 + 35,360 + 32,240) / 31\)

average daily balance \(= 100,200 / 31\)

average daily balance \(= 3,231.61\)

Therefore, the average daily balance rounded to the nearest cent is $\(3,231.61\).

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Using the cross product for the proff of Pythagoras theorem, the correct step is

By the cross product property, AB² =  BC multiplied by BD

The cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).

For the similar triangles, the ratio is as follows

BD / BA = BA / BC

BA² = BD * BC

and AB = BA, hence

BA² = BD * BC

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Answer:

0.325

Step-by-step explanation:

Let A represent the event: winning a prestigious scholarship
Let B represent the event: plays a varsity sport

Given

Therefore the probability that someone wins the scholarship given that they play a varsity sport is 0.325

Answer:

35/54

Step-by-step explanation:

(5/9) / (6/7)

remember the rule: keep, change, flip

so first, keep the first fraction

change the division sign to multiplication

then, flip the fraction

(5/9) / (6/7)

(5/9) * (7/6)

now simplify,  by multiplying the numerators together, and the denominators together

(5 * 7)/(9 * 6)

35/54

Answer:

First, subtract y2 - y1 to find the vertical distance. Then, subtract x2 - x1 to find the horizontal distance. Don't worry if the subtraction yields negative numbers. The next step is to square these values, and squaring always results in a positive number. Hopefully this makes sense...

Step-by-step explanation

Answer:

2 and 5............................

Answer:

Yes. 2 & 5 / 4 & 8 / 1 & 6 / 3 & 7 (Choose one yourself)

Step-by-step explanation:

Corresponding angles are angles that have one angle outside a pair of parallel lines and one angle within it and they are equal to each other.

Answer:

you need to use the before change and after method.

Using the z-distribution, it is found that the 95% confidence interval for the difference is (-1.3, -0.7).

Considering the data given:

\(\mu_S = 3.8, n = 175, s_S = \frac{1.7}{\sqrt{175}} = 0.1285\)

\(\mu_N = 4.8, n = 152, s_N = \frac{1.2}{\sqrt{152}} = 0.0973\)

The mean is the subtraction of the means, hence:

\(\overline{x} = \mu_S - \mu_N = 3.8 - 4.8 = -1\)

The standard error is the square root of the sum of the variances of each sample, hence:

\(s = \sqrt{s_S^2 + s_N^2} = \sqrt{0.1285^2 + 0.0973^2} = 0.1612\)

It is given by:

\(\overline{x} \pm zs\)

We have a 95% confidence interval, hence the critical value is of z = 1.96.

Then, the bounds of the interval are given as follows:

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