(with steps please)
Your next Pre-Algebra test is worth 93 points and contains 38 multiple choice and short answer problems. Each
multiple choice problem is worth two points and each short answer is worth three points. How many of each type of
problem is on the test?

Answer: p is greater than or equal to 8

Step-by-step explanation:

To isolate the variable (p) you divide both sides of the equation by 6 to get p by itself and the answer comes out clean because 48 is a multiple of 6.

Answer:

Divide both sides by the same factor

6p > 48

6p > 48

---     ---

6  >   6

result

p > 8

Answer:

50.27 in

Step-by-step explanation:

The statement that is true about what D’Neese said is (d) D’Neese is incorrect because a^-n = a/-n

Expressions are mathematical statements that are represented by variables, coefficients and operators

The equation statement is given as

1/10^5 is equivalent to 10^5

The above statement can be rewritten in another way

So, we have the following equation

1/10^5 = 10^5

As a general rule of indices, we have the following exponent rule

So, we have the following equation

1/a^n = a^-n

This means that the equation statement is false

This is so because

1/10^5 is not equivalent to 10^5, instead 1/10^5 is equivalent to 10^-5

Hence, the true option about the statement is (d)

Read more about expressions at

https://brainly.com/question/4344214

#SPJ1

Step-by-step explanation:

1) 3x(6x+5)

= 18x+15x

= 33x Answer

2) 4x(2x-3y)

= 8x-12xy Answer

Cannot be solved because it has unlike terms

Answer:

-21

Step-by-step explanation:

The given model is a two-period model with log utility functions. The objective is to maximize the sum of log consumption in both periods, subject to a budget constraint.

In this model, the decision-maker wants to maximize their utility derived from consumption in two periods, denoted as C1 and C2, respectively. The utility function is logarithmic, implying that the marginal utility of consumption decreases as consumption increases. The objective is to maximize the sum of the logarithmic utility of both periods.

The budget constraint states that the total consumption in both periods cannot exceed the available resources or income. However, specific details about the budget constraint are not provided in the question.

To solve this optimization problem, we can use mathematical techniques such as the Lagrangian method or dynamic programming. The Lagrangian method involves setting up the Lagrangian function with the objective function, constraints, and a Lagrange multiplier. By taking derivatives and solving the resulting equations, we can find the optimal consumption levels in each period.

Overall, the goal is to allocate consumption between the two periods in a way that maximizes the total utility, given the budget constraint.

Learn more about log utility functions here:

https://brainly.com/question/33756456

#SPJ11

Answer

Pounds are the currency in Europe. You would exchange 3 pounds for 3.99 American dollars

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of a rectangle is length time width.

A=LW

In this case,

A=32x^2+12

W=4x

Solve for L

L=A/W

Substitute

L=(32x^2+12)/4x

L=(8x^2+3)/x

Answer: SAA or AAS

Step-by-step explanation:

You always start at the “void” or where there are the least amount of marks and go either way.

The total number of pennies on Rows 1-4 (the first 32 squares) is 4,294,967,295 or 2³².

A geometric progression is the series of numbers such that the ratio of any two consecutive numbers of the series is the same.

If we look closely at the problem we will understand that on each of the square boxes the number of pennies will get double from the previous one therefore, we can say that it is forming a geometric progression where the first term of the sequence is 1, while the common ratio is of 2. thus,

The total number of pennies on Rows 1-4 (the first 32 squares) is the sum of the geometric progression for the first 32, terms, therefore,

\(S_n = a_1(\dfrac{r^n-1}{r-1})\)

Now, as we know that the first term of the series is 1, while the common ratio(r) is 2, and the number of terms(n=32). Thus, the sum can be written as,

\(S_n = a_1(\dfrac{r^n-1}{r-1})\\\\S_n = 1(\dfrac{2^{32}-1}{2-1})\\\\S_n = 4,294,967,295\)

The number can also be written as,

\(S_n = 4,294,967,295\\\\S_n = 2^{32}\)

Hence, the total number of pennies on Rows 1-4 (the first 32 squares) is 4,294,967,295 or 2³².

Learn more about Geometric progression:

https://brainly.com/question/14320920

Answer:

A: 2^32 – 1

Step-by-step explanation:

Answer: 52 people per bus

Step-by-step explanation:

The rescue organization saved 472 people.

Of this 472, 4 were saved by being air-lifted.

The rest went into buses.

The people in buses were:

= 472 - 4

= 468

They fit into 9 buses so the total per bus was:

= 468/9

= 52 people per bus

Answer:

-6, -4, -3, and -1 only

Step-by-step explanation:

hope this helps!

Answer:

m=21g g being gallons

21 times 7 = 147

Step-by-step explanation:

The correct option is (a) The median of the given list of prices is 26 thousand dollars.

To find the median, we first need to arrange the prices in order from least to greatest: 14, 19, 20, 26, 33, 42, 46. The middle value of this ordered list is the median. Since there are 7 values in the list, the middle value is the fourth value, which is 26. Therefore, the median of the given list of prices is 26 thousand dollars.

To find the median of a set of data, we need to arrange the values in order from least to greatest and then find the middle value. If there is an odd number of values, the median is the middle value. If there is an even number of values, the median is the average of the two middle values.
In this case, we have 7 values in the list: 20, 46, 19, 14, 42, 26, 33. We can arrange them in order from least to greatest as follows:
14, 19, 20, 26, 33, 42, 46
Since there are 7 values in the list, the middle value is the fourth value, which is 26. Therefore, the median of the given list of prices is 26 thousand dollars.
We can also check that our answer is correct by verifying that there are 3 values less than 26 and 3 values greater than 26 in the list. This confirms that 26 is the middle value and therefore the median.

To know more about median  visit :-

https://brainly.com/question/11237736

#SPJ11

The forecasted equipment usage for September, based on exponential smoothing with a smoothing constant of 0.1, is 88.16 percent of capacity.

To apply exponential smoothing and determine the forecasted equipment usage at the main plant, we can use the following formula:

F(t) = α * A(t) + (1 - α) * F(t-1)

Where:

F(t) is the forecasted value at time t,

A(t) is the actual value at time t,

F(t-1) is the forecasted value at time (t-1),

α is the smoothing constant.

Given that the forecasted usage for August was 88 percent and the actual usage was 89.6 percent, and the smoothing constant α is 0.1, we can calculate the forecasted value for September.

Let's assume F(t-1) represents the forecasted usage for August, which is 88 percent. Then, plugging in the values into the exponential smoothing formula, we have:

F(t) = 0.1 * 89.6 + (1 - 0.1) * 88

F(t) = 8.96 + 0.9 * 88

F(t) = 8.96 + 79.2

F(t) = 88.16

To learn more about exponential smoothing from this link:

https://brainly.com/question/15061467

#SPJ11

The expression for 'r' will be;

⇒ r = √(g m₁ m₂ / f)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ f = g m₁ m₂ / r²

Now,

Solve the expression for r as;

The expression is,

⇒ f = g m₁ m₂ / r²

Multiply by r², we get;

⇒ f r² =  g m₁ m₂

Divide by f, we get;

⇒ r² =  g m₁ m₂ / f

Take square root, we get;

⇒ r = √(g m₁ m₂ / f)

Thus, The expression for 'r' will be;

⇒ r = √(g m₁ m₂ / f)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Based on these results, the probability of the next flip resulting in a head is still 0.5.

The probability of getting a head on the next flip of a fair coin does not depend on the previous outcomes. Each coin flip is an independent event, and the probability of getting a head or a tail remains the same for each flip.

Since the coin is fair, the probability of getting a head on any given flip is 0.5, and the probability of getting a tail is also 0.5. Therefore, based on these results, the probability of the next flip resulting in a head is still 0.5.

To know more about probability click-
https://brainly.com/question/24756209
#SPJ11

Answer:

Step-by-step explanation:

if the sink holds 12 gallons of water , but it is only 85% full

12*(85/100)=10.20 gallons

10.20 gallons in the sink

The total amount of water in the sink is equivalent to 10.2 gallons..

A percentage is a number or ratio that represents a fraction of 100. It is represented by the sign '%'. We can write -

{a}% of {b} -

a/100 x b

ab/100

Given is that Walters sink can hold 12 gallons of water. It is 85% full.

The amount of water in the sink will be -

{x} = 85% of 12

{x} = 85/100 x 12

{x} = 10.2 gallons

The amount of water in the sink is equivalent to 10.2 gallons.

Therefore, the total amount of water in the sink is equivalent to 10.2 gallons.

To solve more questions on division equation, visit the link below -

https://brainly.com/question/21089310

#SPJ2

Answer:

10) -1.5

11) 1

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

exponent

Step-by-step explanation:

The resultant component of the vector addition is (-9, 0).

The resultant component of the vector is calculated as follows;

a = (-9, 6)

b = (3, 1)

The result of 1/3a = ¹/₃ (-9), ¹/₃(6) = (-3, 2)

The result of 2b = 2(3, 1) = (6, 2)

The result of the vector addition is calculated as follows;

1/3a - 2b

= (-3, 2) - (6, 2)

= (-3 -6, 2 -2)

= (-9, 0)

Learn more about vector addition here: https://brainly.com/question/30426215

#SPJ1

32×32 gives 1024.

Hope it helps!

Answer:

560

Step-by-step explanation:

560÷210+÷90138 which makes the answer

To convert 1 cubic centimeter (cc) to ounces (oz), apply conversion factor between the two units. The conversion factor is:

1 cc = 0.033814 oz

This means that one cubic centimeter is equivalent to 0.033814 ounces.

Therefore, the mathematical expression to convert 1 cc to oz is:

1 cc * (0.033814 oz/cc) = 0.033814 oz

So, 1 cc is equal to 0.033814 ounces.

A conversion factor is a mathematical expression that expresses the relationship between two units of measurement. It is used to convert measurements between units.

Conversion factors are commonly used to convert measurements between different units of measurement in math, science, and engineering. They are a useful tool for performing calculations and comparing data in various units.

For more question on Conversion factor click on

brainly.com/question/97386

#SPJ4

The given undirected, weighted graph consists of various nodes connected by edges with corresponding weights. To draw the graph, we represent each node as a vertex and connect them with edges labeled with their respective weights.

To find the minimal spanning tree (MST) on the 5 by 5 square of nodes, we need to select the subset of edges that connect all the nodes with the minimum total weight.

a) Drawing the weighted graph: Based on the given edge list, we draw the graph by representing each node as a vertex and connecting them with edges labeled with their corresponding weights. We consider the nodes A, B, C, D, ..., and draw the edges with the respective weights between the corresponding vertices.

b) Drawing the minimal spanning tree (MST): To find the MST on the 5 by 5 square of nodes, we need to select the subset of edges that connect all the nodes with the minimum total weight. Starting from any node, we choose the edge with the minimum weight to connect it to another node. We continue this process, ensuring that we do not form cycles and include all the nodes until we have connected all the nodes with the minimum total weight.

By considering the weights and following the process described above, we draw the minimal spanning tree on the 5 by 5 square of nodes, connecting them with the minimum weight edges.

Learn more about graph here:

https://brainly.com/question/17267403

#SPJ11

two angles that add up to 90 degrees are called complementary angles.

y = 29 - 0.75x (option C)

The initial amount of gallons of diesel fuel = 29 gallons

Rate of consumption of fuel = 0.75 gallons per hour

we write the above information in the form of a liear equation:

y = mx + c

m = rate of consumption of fuel = 0.75 gallons per hour

c = intial amout of diesel fuel = 29

SInce, we are using up the fuel, it means the initial amount will be reducing every hour.

Our rate of consumption will be negative.

The equation becomes:

y = - 0.75x + 29

y = 29 - 0.75x (option C)