How do you write 4.5 x 10in standard form?

Answer:

3-2x=-1.5

add -3 on both sides

-3+3-2x=-1.5+3

-2x=1.5

x=1.5/-2

Answer:

x= 9/4

Step-by-step explanation:

3 - 2x = -1.5

-2x = -4.5

x = 4.5/2

Simplified x = 9/4

Answer:

$29,045.69

Step-by-step explanation:

The total amount accrued, principal plus interest, with compound interest on a principal of $25,000.00 at a rate of 3% per year compounded 365 times per year over 5 years is $29,045.69.

A = P(1 + r/n)nt

A = 25,000.00(1 + 0.03/365)(365)(5)

A = 25,000.00(1 + 8.2192E-5)(1825)

A = $29,045.69

Yes, this is a statistical question as the answer involves gathering and analyzing data about college football and tennis coaches' salaries. It's important to remember that a variety of factors could influence these salaries.

Sylvie's question, 'Do college tennis coaches generally get paid more than college football coaches?' is considered a statistical question because it anticipates a response based on data analysis. To answer this, one would typically gather data on the salaries of both college tennis and football coaches, process this data, and then perform a comparative analysis. It's important to understand that salaries can vary widely, influenced by factors including the size of the college, the success of the program, and the region of the country.

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Answer: 50 degrees

Step-by-step explanation:

The exterior is the sum of the interior remote angles.

The probability that the diameter of a selected ball bearing is between 143 and 144 millimeters, given a normal distribution with a mean diameter of 138 millimeters and a variance of 9. Therefore, the probability that the diameter of a selected ball bearing is between 143 and 144 millimeters is approximately 0.0247

To calculate the probability, we first need to standardize the values of 143 and 144 millimeters using the z-score formula:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

In this case, the mean (μ) is 138 millimeters and the variance (σ^2) is 9, so the standard deviation (σ) is the square root of the variance, which is √9 = 3.

For 143 millimeters:

z1 = (143 - 138) / 3 = 5 / 3 ≈ 1.6667

For 144 millimeters:

z2 = (144 - 138) / 3 = 6 / 3 = 2

Next, we need to use the standard normal distribution table or a calculator to find the probability associated with these z-scores. The probability between these two z-scores represents the probability of the diameter being between 143 and 144 millimeters.

Using the table or a calculator, we find that the cumulative probability corresponding to z1 = 1.6667 is approximately 0.9525, and the cumulative probability corresponding to z2 = 2 is approximately 0.9772.

To find the probability between 143 and 144 millimeters, we subtract the cumulative probability corresponding to z1 from the cumulative probability corresponding to z2:

P(143 < x < 144) = P(z1 < Z < z2) = P(z2) - P(z1) = 0.9772 - 0.9525 ≈ 0.0247

Therefore, the probability that the diameter of a selected ball bearing is between 143 and 144 millimeters is approximately 0.0247 (or 2.47% rounded to four decimal places).

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The midpoint of the segment is (1.5, 5).

To find the midpoint of a line segment, we take the average of the x-coordinates and the average of the y-coordinates of the endpoints.

In this case, the given endpoints are (2, 5) and (1, 5). To find the average of the x-coordinates, we add the x-coordinates together and divide by 2: (2 + 1) / 2 = 3 / 2 = 1.5.

Similarly, to find the average of the y-coordinates, we add the y-coordinates together and divide by 2: (5 + 5) / 2 = 10 / 2 = 5.

Therefore, the midpoint of the segment is (1.5, 5).

Out of the answer choices provided, the correct answer is not listed. None of the options (a), (b), (c), or (d) match the calculated midpoint of (1.5, 5).

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Answer:

12

Step-by-step explanation:

Answer:

1. 15+63= 78 ft cubed

2. 5.5+33= 38.5 m cubed

Answer:

1. 6

2. 4

3. 10

4. Not sure about this one but I think 3

, the correct answers are:

Orientation (North Arrow)

Scale

Legend

Neatline Border

The four primary cartographic elements are:

Orientation (North Arrow): This element indicates the orientation or direction of the map, typically pointing towards the north. It helps users understand the map's alignment and relation to the real world.

Scale: The scale provides a ratio or representative fraction that shows the relationship between distances on the map and corresponding distances on the Earth's surface. It helps users determine the actual size or distance of features on the map.

Legend: The legend, also known as a key, explains the symbols, colors, and other graphic elements used on the map. It helps users understand the meaning or representation of various features or data.

Neatline Border: The neatline border defines the outer boundary of the map. It is a solid line that encloses the map area and separates it from the surrounding space or background.

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Step-by-step explanation:

25^(4x) = (25^4)^x = (5^8)^x = 5^(8x).

Answer:

v=u+10t

u=4

t=3

v=4+10*3

v=4+30

v=43

Answer:

16

Step-by-step explanation:

Accordingly, 1 ml (milliliter) is just 1/1,000 of a liter. Consequently, 1 ml is less than 1 l.

Small quantities of liquid are measured in milliliters. Liters can be used to measure bigger amounts of liquid. 1 ml is equal to 0.001 liter, or 1000 milliliters. The symbol for a milliliter is either ml or mL.

The metric prefix "m" stands for "milli," which denotes "1/1,000 of" in English. Accordingly, 1 ml (milliliter) is just 1/1,000 of a liter. Consequently, 1 ml is less than 1 l.

The smallest metric unit, the milliliter, measures the tiniest amount of liquid and is a thousandth of a litre. So, 1 liter is equal to 1000 milliliters.

Therefore, the correct answer is option b. 4 liters 300 milliliters < 4,000 milliliters.

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SOLUTION

We want to find the interquartile range of the box and whisker plot in the picture.

Interquartile range is calculated as

In the box and whisker plot

Hence the answer is 6

Thus, the probability of randomly choosing one vegetable and one grain-based side dish in this scenario is 2%.

The probability of randomly choosing one vegetable and one grain-based side dish depends on the number of options available for each category.

For example, if there are 10 vegetable options and 5 grain-based side dish options, the probability of choosing one vegetable and one grain-based side dish would be calculated as follows:

Probability of choosing one vegetable = 1/10
Probability of choosing one grain-based side dish = 1/5

To find the probability of both events happening together, we multiply the probabilities:

Probability of choosing one vegetable and one grain-based side dish = 1/10 x 1/5 = 1/50

Therefore, the approximate probability of randomly choosing one vegetable and one grain-based side dish in this scenario is 1/50 or 0.02 (2%).

However, the actual probability may vary depending on the specific number of options available for each category. It's important to note that this calculation assumes that each option is equally likely to be chosen, which may not always be the case in real life.

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Independent variables are the factors that are manipulated or controlled by the researcher in a study. In the context of investigating the impact of a school nutrition program on grade performance of high school students, the independent variable would be the school nutrition program itself.

The researcher would design and implement the program, and this variable would be under their control.

Dependent variables, on the other hand, are the outcomes or variables that are measured in a study and are expected to change as a result of the independent variable. In this case, the dependent variable would be the grade performance of the students. The researcher would collect data on the grades of the students before and after the implementation of the nutrition program, and this would be the variable that is expected to be influenced by the independent variable.

In summary, the independent variable in this research design is the school nutrition program, while the dependent variable is the grade performance of the students. The researcher would manipulate the independent variable (implement the nutrition program) and then measure the dependent variable (student grades) to determine if there is an impact of the program on grade performance.

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The mistake in Daine's workings is that (a) He did not apply the distributive property correctly for 8(1 + 2i).

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

8(1 + 2i) – (7 – 3i)

Using distributive property, we have

8 + 16i - 7 + 3i

Evaluate the like terms together

So, we have

1 + 19i

The above means that

He did not apply the distributive property correctly for 8(1 + 2i).

Hence, the mistake is (a)

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Question

Daine simplified the expression below.

8(1 + 2i) – (7 – 3i) = 1 + 5i

What mistake did Daine make?

He did not apply the distributive property correctly for 8(1 + 2i).

He did not distribute the subtraction sign correctly for 7 – 3i.

He added the real number and coefficient of i in 8(1 + 2i).

He multiplied the two complex numbers when he should have subtracted.

By applying total cost concept, it can be concluded that the expression represents the total cost is 1.45d (option A).

Algebra is a branch of mathematics that uses symbols and mathematical operations, such as addition, subtraction, multiplication, and division to solve problems.

It is usually used to solve a problem in various fields of study, such as chemistry, biology, economics, and so on.

One of the most familiar uses of algebra is how to calculate the total cost:

Total cost = n x p , where:

n = number of products

p = product price per piece

We know that Jim is going to buy donuts for his family:

p = $1.45

n = d

So the total cost can be calculated by multiplying 1.45 by d, which equals 1.45d.

Thus the expression represents the total cost is 1.45d (option A).

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Answer:

Their ages are 38,39 and 40.

Step by step explanation:

If they were all the same age, then their ages would be:

But, they are consecutive integers. So, you can make Elsa 40 and Edna 38.

The age of Jeremy could be less than 22 years

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

Jeremy = Rachel - 2

Let Jeremy = x and Rachel = y

So, we have

y = y - 2

Their ages added together is less than 46

So, we have

x + y < 46

This gives

x + x + 2 < 46

So, we have

2x < 44

Divide

x < 22

Hence, Jeremy could be less than 22 years

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Question

Jeremy is two years older than Rachel. The sum of the ages of Jeremy and Rachel is less than 46

How old could Jeremy be?

Answer:

x = 10

Step-by-step explanation:

5x - 18 = 3x +2 ( subtract 3x from both sides )

2x - 18 = 2 ( add 18 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10

Answer:

i belive its 75 percent

Step-by-step explanation:

the question is worded strangly

Answer:

See below.

Step-by-step explanation:

1)

Triangle

Perimeter = sum of lengths of the 3 sides

Area = base * height/2

Perimeter = 9 m + 10 m + 11 m = 30 m

Area = 10 m * 8 m /2 = 40 m^2

5)

Parallelogram

Perimeter = sum of lengths of 4 sides.

Hint: opposite side have equal lengths

Area = base * altitude

Perimeter = 9 m + 9 m + 7 m + 7 m = 32 m

Area = 9 m * 6 = 54 m^2

6)

Triangle

Do the same as for problem 1.

8)

Triangle

Do the same as for problem 1.

10)

Parallelogram

Do the same as for problem 5.

Try problems 6, 8, 10 on your own. Write the answers for each in the comments, and I will tell you if you're correct and will help you if you need help.

The measures of the other two angles in the parallelogram are both 143 degrees.

A parallelogram is a quadrilateral with two sides that are parallel to one another. A parallelogram has equal-length opposite sides and equal-length opposite angles. The internal angles that are extra to the transversal on the same side. A parallelogram's total interior angles add up to 360 degrees.

A parallelogram is formed by the junction of two parallel lines, and its opposite angles are equal.

Then, there are two 35 degree angles. Two further angles that are equivalent are noted: A parallelogram's angles add up to 360 degrees. Following that, x+x+37+37=360

2x=360-74

2x=286

x=143.

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The diameter of a new ball is 4.0ft

According to the statement

we have given that the the company wants to spend a maximum of $1 each.

And we have to find a diameter of a new ball.

Remember that for a sphere of diameter D, the surface area is

A = 4*pi*(D/2)^2

In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:

$0.02*A = $1

A = $1/$0.02 = 50

So the surface of the ball must be 50 square feet.

Then we solve:

50ft^2 = 4*3.14*(D/2)^2

D = 2*√(50 ft^2/(4*3.14)) = 4.0 ft

here the diameter of a ball is 4.0ft.

So, The diameter of a new ball is 4.0ft

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The angle of depression is approximately 8.67 degrees.

What is angle of depression?

The angle of depression is the angle between a horizontal line and the line of sight from an observer to an object that is below the horizontal line. It is commonly used in trigonometry and geometry to solve problems involving heights, distances, and angles.

The distance between the plane and the ground can be found using the Pythagorean theorem:

\($$\text{distance} = \sqrt{(15,840 \text{ ft})^2 + (2500 \text{ ft})^2} = 16,123.67 \text{ ft}$$\)

To find the angle of depression, we can use the tangent function:

\($$\tan \theta = \frac{2500 \text{ ft}}{15,840 \text{ ft}}$$\)

Solving for theta gives:

\($$\theta = \arctan\left(\frac{2500 \text{ ft}}{15,840 \text{ ft}}\right) \approx 8.67^\circ$$\)

Therefore, the angle of depression is approximately 8.67 degrees.

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Length of the base edge (a) = 5 cm

Height of the pentagonal prism (h) = 10 cm

The Lateral Surface Area of the Pentagonal Prism.

Lateral Surface Area of a Pentagonal Prism = 5ah

Lateral Surface Area = 5 (5) (10)

Lateral Surface Area = 5 (50)

Lateral Surface Area = 250 sq.cm

250 sq.cm

To compute [f(x)] and [T(f(x))], we need to evaluate the polynomial f(x) and the linear transformation T.

Given:

α = {[1, 10, 0]}

B = {1, x, x²}

Y = {1}

The polynomial f(x) is given by f(x) = 6 - x + 2x².

To compute [f(x)], we need to express f(x) in terms of the basis B. We have:

f(x) = 6 - x + 2x²

    = 6 * 1 + (-1) * x + 2 * x²

Therefore, [f(x)] = [6, -1, 2].

Now let's compute [T(f(x))]. The linear transformation T maps a polynomial to its value at x = 2. Since f(x) = 6 - x + 2x², we can evaluate it at x = 2:

f(2) = 6 - 2 + 2(2)²

    = 6 - 2 + 2(4)

    = 6 - 2 + 8

    = 12

Therefore, [T(f(x))] = [12].

In summary:

[f(x)] = [6, -1, 2]

[T(f(x))] = [12]

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