1.In the metric system, the base unit for mass is the

gram
liter
kilogram
kiloliter

2.Which of the following is the largest distance?

Centimeter
Millimeter
Decimeter
Kilometer

3.Which of the following prefixes represents the smallest number?

Centi
Kilo
Milli
Deci

4.All of the following measure mass except

milligram
kilogram
decigram
centimeter

5.What is a metric base unit?

The standard unit that is used for each type of measurement.
The smallest unit in the metric system.
The largest unit in the metric system.
The best unit for measuring what you want to measure.

If 8 vehicles approach the signal, the probability that 3 of them are stopped by the red light is:

                                  0.25412184

Here we need to use the binomial theorem.

i.e. the probability of k successes out of total n experiments is calculated by the formula:

         [tex]P(X=k)=n_C_kp^k(1-p)^{n-k}[/tex]

where p is the probability of successes.

Here we have p=Probability that signal is red.

i.e. p=15/50=3/10=0.3

Hence, 1-p=0.7

Also we have: n=8

and k=3

Hence,

[tex]P(X=3)=8_C_3\times (0.3)^3(0.7)^{8-3}\\\\\\P(X=3)=\dfrac{8!}{3!\times (8-3)!}\times (0.3)^3\times (0.7)^5\\\\\\P(X=3)=\dfrac{8!}{3!\times 5!}\times 0.00453789\\\\\\P(X=3)=0.25412184[/tex]

                  Hence, the probability is:

                       0.25412184

Final answer:

The X-intercept of the equation 2X + 1.5Y = 30 represents the maximum number of cups of coffee that can be bought with $30 if no orange juice is purchased (15 cups), and the Y-intercept represents the maximum number of orange juice cups that can be bought with $30 if no coffee is purchased (20 cups).

Explanation:

When Ms. Purdy purchased coffee and orange juice for her coworkers, she created a budget constraint based on the respective prices and her total spending. With X representing the number of cups of coffee purchased at $2 each and Y representing the cups of orange juice purchased at $1.50 each, the equation for her total expenditure is 2X + 1.5Y = 30.

The X-intercept occurs when no orange juice is purchased (Y=0), and the total budget is spent on coffee.

This can be calculated by setting Y to 0 in the equation, resulting in X = 15.

The Y-intercept occurs when no coffee is purchased (X=0), which can be found by setting X to 0, leading to Y = 20.

Thus, the X-intercept represents the maximum number of cups of coffee that can be purchased with the $30 budget if no orange juice is bought, while the Y-intercept shows the maximum number of cups of orange juice that could be purchased with the same budget if no coffee is bought.

Answer:

C)  

late spring.

Step-by-step explanation:

just did the test on usatestprep

Answer: [tex]12x^3-25x^2+9[/tex]

Step-by-step explanation:

Given expression: [tex](4x-3)(3x^2-4x-3)[/tex]

To simplify the above expression we apply the distributive property [ (b+c)a=ba+ca, where a,b, c be any expression] we get ,

[tex](4x-3)(3x^2-4x-3)\\\\=4x(3x^2-4x-3)-3(3x^2-4x-3)\\\\=12x^{1+2}-16x^{1+1}-12x-9x^2+12x+9.......\text{[by law of exponents]}\\\\=12x^{3}-16x^{2}-12x-9x^2+12x+9\\\\\text{Combing like terms, we get}\\\\=12x^3-(16+9)x^2-12x+12x+9\\\\=12x^3-25x^2+9[/tex]

Answer:

[tex]12x^{3}-25x^{2}+9[/tex]

Step-by-step explanation:

1. Write down the equation:

[tex](4x-3)(3x^{2}-4x-3)[/tex]

2. Multiply the first term on the left parenthesis by each term on the right parenthesis:

[tex]4x*3x^{2}=12x^{3}[/tex]

[tex]4x*(-4x)=-16x^{2}[/tex]

[tex]4x*(-3)=-12x[/tex]

3. Multiply the second term on the left parenthesis by each term on the right parenthesis:

[tex]-3*(3x^{2})=-9x^{2}[/tex]

[tex]-3*(-4x)=12x[/tex]

[tex]-3*(-3)=9[/tex]

4. Add up all the terms:

[tex]12x^{3}-16x^{2}-12x-9x^{2}+12x+9[/tex]

Simplify:

[tex]12x^{3}-25x^{2}+9[/tex]

To find the total amount Jeremy earned from mowing lawns, we set up the equation x - $17 = $75 where x is the total earnings. Solving the equation, we find that Jeremy earned a total of $92.

The amount of money Jeremy earned mowing lawns can be found by setting up a simple algebraic equation. We know that after paying $17 for gas, he had $75 leftover for camp. Therefore, we can write the equation as:

Total Earnings - Gas Cost = Money for Camp

Let x represent the total amount Jeremy earned. The equation will then be:

x - 17 = 75

Now, we solve for x:

x = 75 + 17

x = 92

Jeremy earned a total of $92 from mowing lawns.

Answer: D) 25π

Step-by-step explanation:

Got this right on USA test prep

The cost of 1 bicycle is $48 by using the system of equations.

Word problems are a mathematical interpretation by using variables, numbers, and arithmetic operations to solve real-life problems.

From the given information:

We have a system of equations, and we can solve for the cost of1 bicycle

Using the Elimination method:

4U + 3B = 268

-2U + 3B = 110

2U + 0    = 158

U = 158/2

U = 79

The cost of 1 bicycle = 4(U) - 268

= 4(79) - 268

= 316 - 268

= $48

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Answer:

$48

Step-by-step explanation:

Got it right on flvs

In mathematics, a line segment can grow from a) zero-dimensional points or b) one-dimensional line segments but cannot grow from a three-dimensional object due to differences in properties such as volume.

In the field of mathematics, a line segment can grow from a zero-dimensional point and a one-dimensional line segment. The process of a line segment growing from a point involves extending out in a certain direction from the zero-dimensional point. When we say a line segment can grow from a one-dimensional object, it means an existing line segment can be extended to become a longer line segment.

A line segment cannot 'grow' from a three-dimensional object because a line segment is a one-dimensional entity, and dimensional objects have 'volume,' a property which a line segment does not possess.

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The area of a piece of wood with a length of  [tex]\( \frac{5}{12} \)[/tex]  foot and a width of  [tex]\( \frac{2}{3} \)[/tex]  foot is [tex]\( \frac{5}{18} \)[/tex] square feet.

To find the area of a rectangular piece of wood with a length of [tex]\( \frac{5}{12} \)[/tex] foot and a width of [tex]\( \frac{2}{3} \)[/tex] foot, we use the formula for the area of a rectangle

[tex]\[ \text{Area} = \text{length} \times \text{width} \][/tex]

Given that the length is  [tex]\( \frac{5}{12} \)[/tex]  foot and the width is  [tex]\( \frac{2}{3} \)[/tex]  foot, we plug these values into the formula:

[tex]\[ \text{Area} = \frac{5}{12} \times \frac{2}{3} \][/tex]

To multiply fractions, we multiply the numerators together and the denominators together:

[tex]\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \[ \text{Area} = \frac{5 \times 2}{12 \times 3} \]\[ \text{Area} = \frac{10}{36} \][/tex]

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2:

[tex]\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \[ \text{Area} = \frac{10 \div 2}{36 \div 2} \]\[ \text{Area} = \frac{5}{18} \][/tex]

So, the area of a piece of wood with a length of  [tex]\( \frac{5}{12} \)[/tex]  foot and a width of  [tex]\( \frac{2}{3} \)[/tex]  foot is [tex]\( \frac{5}{18} \)[/tex] square feet.

In mathematics, a plane is a two-dimensional surface with no definite beginning or end, extending infinitely in all directions. The properties of a plane, such as the loss of the usual 1/² dependence, are abstract and not physically tangible. Examples of motion, like an airplane passenger's movement or the effect of wind on a plane's trajectory, can help visualize concepts related to planes.

When considering the concept of a plane in mathematics, it is important to understand its properties. A plane is a flat, two-dimensional surface that extends infinitely in all directions. It does not have a definite beginning or end, meaning there is no bounded border that marks where it starts or stops. This idea can be difficult to conceptualize because it is abstract and not something we encounter in the physical world. In terms of geometry, we often approach problems involving planes by considering a portion of the plane that is relevant to the problem. For example, the concept of an infinite plane becomes intriguing as it affects the mathematical properties, such as the loss of the usual 1/² dependence encountered in finite plane calculations. To illustrate motion in a plane, one might analyze the average velocity of an object, such as an airplane passenger moving from the front to the back of an airplane or the influence of wind on a plane's trajectory relative to the ground. These scenarios involve physical planes and motions, but they help to visualize the movements within the mathematical context of planes.

The total money that would be spent for 11 rides in the carnival be $11.5

As mentioned in the question, the price to get in was $6, and you paid $0.50 to get on each ride.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the total money paid for 11 rides,
= 0.5 × 11 = $5.5

Total money spent on the carnival,
= 6 + 5.5 = $11.5

Thus, the total money that would be spent for 11 rides in the carnival be $11.5.

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Answer:

Average rate for the given function is 1 / 7

Step-by-step explanation:

The average exchange rate corresponds to the ratio between the variation of the function and the variation of the variable. That is to say,

Average rate = [f (x2) - f (x1)] / (x2 -x1). Since x1 = 6 and x2 = 13, you have:

f (x1) = f (6) = sqrt (6 + 3) - 2 = 3 - 2 = 1

f (x2) = f (13) = sqrt (13 + 3) - 2 = 4 - 2 = 2

In this way,

Average rate = (2 -1) / (13 - 6) = 1/7

To find 60% of 33, first write 60% as a decimal by moving the decimal point two places to the left to get .60.

Next, the word "of" means multiply, so we are are going to multiply.

(.60) (33) = 19.8

Therefore, 60% of 33 is 19.8.

Answer:

THE ANSWER IS B ON EGDE

Step-by-step explanation:

Answer:

Edging b

Step-by-step explanation: