50% of 30, hurry <3
its saying my question is too short so ignore what im saying rn

Answer:

They are both correct. Candace must use a pair of additive inverses.

Step-by-step explanation:

Sean is correct. Zero is the "additive identity." That means when you add zero to any number, that number keeps its identity, meaning it remains the same. Adding zero to any number does not change the number.

For example:

5 + 0 = 5

-10 + 0 = -10

2.89 + 0 = 2.89

Candace is also correct. She can add two numbers to -100 and still have -100. the way to do it is that the numbers that she adds to -100 must be opposites, or additive inverses. Additive inverses, also called opposites, are two numbers whose sum is zero.

For example:

-5 and 5

-22 and 22

Each pair of numbers above is a pair of additive inverses since their sum is zero.

If Candace adds two numbers to -100, and the numbers are a pair of additive inverses, then she is adding zero to the -100, so the result is still -100.

Answer: They are both correct. Candace must use a pair of additive inverses.

Answer:

Don't know if there's some kind of a formula to solve this, but by just looking at the triangle we can see that the side c is the longest, so it would be 2, b is the shortest, so it would be the square root of 3 and 1 is left for a

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:

-5 7 plus negative 12 is negative 5

Answer:

137022 pounds

Step-by-step explanation:

At 4 weeks = 1114 pounds

At 16 weeks = 123 times more.

At 16 weeks = 1114 pounds * 123

At 16 weeks = 137022 pounds.

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Answer:

ok Let’s calculate the money Sam makes per week, not including sales (or Assuming $0 in sales):

Money per week =$6.45/hour×37.5 hours/week= $241.88/week  

The money he Gains from sales must make up the difference, So

money from sales = $400−$241.88 = $158.12  

This Money is only 6% or 0.06 of the total sales though, so

Total sales = $158.120.06 = $2635.33  

of course, this is Assuming that the money per week is rounded up from $241.875 to $241.88 instead of down to $241.87, in which case Sam would Have to make $2635.50 in sales (about 17 cents more).

Step-by-step explanation:

have a nice day.

Answer:

124.72

Step-by-step explanation:

Answer:

Step-by-step explanation:

4% of 128.72 = 0.04 * 128.72

                    = 5.1488

The set of solutions can also be written as an ordered pair:

\($(\frac{1}{4}, -\frac{3}{4}, \frac{5}{3}, -5)$\)

The given linear system of equations is as follows:

\($$3x_1 + x_4 = -15$$\\$$-4x_2 + x_3 = 20$$\)

In matrix form, the above equations are:

\($$\begin{pmatrix}3 & 0 & 0 & 1\\0 & -4 & 1 & 0\end{pmatrix} \begin{pmatrix}x_1\\x_2\\x_3\\x_4\end{pmatrix} = \begin{pmatrix}-15\\20\end{pmatrix}$$\)

The matrix form is of the type Ax = b, where A is the coefficient matrix, x is the vector of variables, and b is the vector of constants.

Thus, to find the solution to this system of equations, we need to find the inverse of matrix A, and multiply it with the vector b, i.e., x = A⁻¹b.

Here is how we can solve this system of equations using matrix multiplication:

\($$\begin{pmatrix}3 & 0 & 0 & 1\\0 & -4 & 1 & 0\end{pmatrix}^{-1} = \frac{1}{12}\begin{pmatrix}4 & 0\\3 & -1\\0 & 4\\-12 & 0\end{pmatrix}$$\)

Multiplying this inverse matrix with the vector b, we get:

\($$\begin{pmatrix}\frac{1}{4}\\-\frac{3}{4}\\\frac{5}{3}\\-5\end{pmatrix}$$\)

Thus, the solution to the given system of equations is:

\($$x_1 = \frac{1}{4}, x_2 = -\frac{3}{4}, x_3 = \frac{5}{3}, x_4 = -5$$\)

This set of solutions can also be written as an ordered pair:

\($(\frac{1}{4}, -\frac{3}{4}, \frac{5}{3}, -5)$\)

The solution has four variables and, therefore, we need to provide four values.

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When the error terms have a constant variance, a plot of the residuals versus the independent variable x has a pattern that b. Funnels in

When the error terms have a constant variance, a plot of the residuals (the differences between the observed values and the predicted values) versus the independent variable x often exhibits a funnel-shaped pattern that narrows as the values of x increase or decrease.

This funneling pattern is a characteristic of heteroscedasticity, which refers to the unequal dispersion of the error terms across the range of the independent variable. In other words, the variability of the residuals changes systematically with the values of x.

The funneling pattern occurs because as the values of x increase or decrease, the spread of the residuals tends to increase as well. This can happen when the relationship between the independent variable and the dependent variable is nonlinear or when there are other factors influencing the variability of the residuals.

On a scatterplot of residuals versus x, the points may initially fan out, indicating increasing variability. However, as x continues to increase or decrease, the points start to converge and form a narrower funnel shape, indicating decreasing variability.

This funneling pattern suggests that the assumption of constant variance (homoscedasticity) in a regression model is violated. It is important to address heteroscedasticity to ensure accurate statistical inference and model validity.

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Based on the given information, a survey of 50 high school students was conducted to determine the number of students in favor of forming a new rugby team. The school will form the team if at least 20% of the students at the school want the team to be formed.

Out of the 50 students surveyed, only 3 said they wanted the team to be formed. A simulation was then conducted to test the significance of the survey, assuming that 20% of the students wanted the team. The simulation was repeated 100 times.

The conclusion that can be drawn from the simulation results is that there is not enough evidence to support the formation of a new rugby team.

Since the simulation was repeated 100 times, it can be inferred that the sample size was adequate to accurately represent the entire school. If the simulation results had shown that at least 20% of the students wanted the team to be formed, then it would have been safe to say that the school should form the team.

However, since the simulation results did not show this, it can be concluded that there is not enough support from the students to justify the formation of a new rugby team.

It is important to note that this conclusion is based on the assumption that the simulation accurately represents the school's population. If there are factors that were not considered in the simulation that could affect the number of students in favor of forming the team, then the conclusion may not be accurate.

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Answer:

Step-by-step explanation:

The required inequality x + m ≤ 510, and the distance is 316 miles.

Inequity occurs when two phrases are joined by a sign such as "not equal to," "more than," or "less than." The inequality illustrates the larger than and less than the relationship between variables and numbers.

Given that Mr. Estrada's car can only drive 510 miles on a full tank of petrol. He drove the car 194 miles after filling up the tank with gasoline.

Let,

x miles = distance already traveled

m miles = distance miles can travel with remaining gas

510 = max. miles can travel on a full tank

As per the given question,

The inequality will be written as,

x + m ≤ 510

194 + m ≤ 510

m ≤ 510 - 194

Apply the subtraction operation, and we get

m ≤ 316

Therefore, the required inequality x + m ≤ 510, and the distance is 316 miles.

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A nurse provides a back massage as a palliative care measure to a client who is unconscious, grimacing, and restless.

The therapeutic response that the nurse should identify in the client after a back massage includes relaxing of facial muscles and the pulse remaining within the expected range.
Massage is a fundamental nursing measure that is often utilized as part of palliative care for patients. The purpose of back massage is to promote relaxation, improve blood circulation, reduce muscle tension, and alleviate pain, stress, and anxiety. The nursing assessment of the patient before and after the massage is essential to determine its effectiveness as a therapeutic intervention for the patient.
When providing back massage as a palliative care measure to an unconscious, grimacing, and restless client, the nurse should identify several therapeutic responses as follows;
The shoulders droop: The nurse should expect the shoulders of the client to relax during massage therapy. If this occurs, it is a sign that the patient is experiencing relaxation and tension relief.
The facial muscles relax: Relaxation of the facial muscles is a common therapeutic response during back massage. The nurse should observe the patient's face for any signs of relaxation, which may include softening of facial lines, eyelids drooping, or a general expression of peacefulness.
The respiratory rate (RR) decreases: The nurse should expect the client's respiratory rate to decrease during a back massage. This is because relaxation stimulates the parasympathetic nervous system, resulting in decreased respiratory rate, heart rate, and blood pressure.
The pulse is within the expected range: The nurse should expect the client's pulse to remain within the expected range during a back massage. A normal pulse rate is between 60-100 beats per minute for adults. If the pulse remains within this range, it is a sign that the patient is responding positively to the massage therapy.

In conclusion, providing back massage as a palliative care measure to an unconscious, grimacing, and restless client can help to promote relaxation, improve blood circulation, reduce muscle tension, and alleviate pain, stress, and anxiety. The nurse should identify therapeutic responses in the patient during the massage therapy, which may include relaxation of the shoulders, facial muscles, decreased respiratory rate, and pulse remaining within the expected range.

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Answer:

So in base 5, 4+6 = 20

Step-by-step explanation:

Answer:

so your first number in your plotted points is the x value and the next is the y value as shown here (x,y) so if it needs to go up 2 and right 1 what we do is increase the -1 to a 0 because you are moving right on the graph which makes it become a positive. now if you were to move up 2 that is your y coordinate because y controls up and down movement while x controls left and right movement so you would increase the 8 to 10 so you'll find no coordinates would end up being (0,10)

We can conclude that the relation R is not Reflexive, Symmetric, Transitive and Anti-Symmetric. Given relation, R = {(1,2),(1,3),(1,4),(2,2),(2,3),(2,4),(3,4),(5,6),(5,7),(6,6),(6,7)}.

Reflexive Property is reflexive if every element of the set A is related to itself. An element a belongs to A is related to itself by R if and only if (a,a) ∈ R.If R has the reflexive property, then every element of A must be related to itself by R.The given relation is not reflexive because it does not contain any element of the form (a,a).

Symmetric relation R is said to be symmetric if for every ordered pair (a, b) belongs to R, the ordered pair (b, a) also belongs to R. If R is symmetric then (a, b) ∈ R implies (b, a) ∈ R.The relation R is not symmetric because (1,2) ∈ R but (2,1) does not belong to R.

Transitive If (a,b) ∈ R and (b,c) ∈ R then (a,c) ∈ R. If every pair of related elements has all of its transitive predecessors in the relation, then the relation R is transitive.The relation R is not transitive because (1,2) ∈ R and (2,4) ∈ R, but (1,4) does not belong to R.

Anti-SymmetricThe relation R is said to be antisymmetric if for all pairs (a,b) in R, (b,a) in R, a=b.The relation R is anti-symmetric because it does not contain pairs of elements (a, b) and (b, a) where a and b are different.

Therefore, we can conclude that the relation R is not Reflexive, Symmetric, Transitive and Anti-Symmetric.

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The equation that shows the relationship is w = 38m.

If Mrs. Lopez types at a constant rate, then the number of words she types is directly proportional to the amount of time she types. We can express this relationship using the formula:

w = km

where w is the number of words typed, m is the number of minutes spent typing, and k is the constant of proportionality.

We are given that k = 38, so we can substitute this value into the formula to get:

w = 38m

Therefore, the equation that shows the relationship between the number of words Mrs. Lopez types and the number of minutes she types is w = 38m.

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a. Inductive Reasoning: The statement "I see fireflies in my backyard every summer" is based on observations and generalizing from past experiences.

b. Deductive Reasoning: The statement "If A = B and B = A" is an example of a logical deduction.

a. Inductive Reasoning: The statement "I see fireflies in my backyard every summer" is an example of inductive reasoning. By observing fireflies in the backyard during past summers, a pattern or trend is recognized. This pattern leads to the generalization that fireflies are likely to appear in the backyard during summer. Inductive reasoning involves drawing conclusions based on repeated observations and generalizing from those observations to make a prediction about future events. Therefore, when stating, "This summer, I will probably see fireflies in my backyard," it is an application of inductive reasoning, relying on the assumption that the pattern observed in the past will continue in the future.

b. Deductive Reasoning: The statement "If A = B and B = A" exemplifies deductive reasoning. Deductive reasoning relies on established rules, principles, or premises to draw logical conclusions. In this case, the statement refers to the concept of equality in mathematics. The principle of equality states that if A is equal to B, and B is equal to A, then they are interchangeable and represent the same value. Deductive reasoning allows us to deduce that A and B are equivalent based on the given premise. It involves applying logical reasoning and established principles to arrive at a specific conclusion.

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The given statement "Both triangles are isosceles triangles in which one angle measures 15" is false because there can be multiple isosceles triangles where one angle measures 15 degrees.

An isosceles triangle has two equal sides and two equal angles. If one of the angles measures 15 degrees, the other two angles must add up to 165 degrees (180 - 15 = 165). However, there can be multiple isosceles triangles that satisfy this condition, such as a triangle with angles measuring 15, 75, and 90 degrees or a triangle with angles measuring 15, 75, and 90 degrees.

Therefore, it is incorrect to assume that both triangles are the same just because they are both isosceles triangles with one angle measuring 15 degrees.

The statement is false because there can be multiple isosceles triangles with one angle measuring 15 degrees. An isosceles triangle has two equal sides and two equal angles, so if one angle measures 15 degrees, the other two angles must add up to 165 degrees.

However, there can be multiple combinations of angles that satisfy this condition, so it is incorrect to assume that both triangles are the same just because they are both isosceles triangles with one angle measuring 15 degrees.

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Answer:

The angle of elevation of the ramp is 64.60°

Step-by-step explanation:

Given;

length of the ramp, L = 35 ft

distance of the platform to the foot of the ramp, d = 15 ft

The length of the ramp forms the hypotenuse side of this right angled triangle;

The angle of elevation of the ramp is in angle between the hypotenuse and adjacent side of the triangle.

Cos x =  adjacent / hypotenuse

Cos x = 15 / 35

Cos x = 0.4286

x = Cos⁻¹ (0.4286)

x = 64.62

x = 64.60°

Therefore, the angle of elevation of the ramp is 64.60°

Answer:

8

Step-by-step explanation:

3(y - 2) + 4(2 - 3)          

3(6 - 2) + 4(2 - 3)

18 - 6 + 8 - 12

= 8

To model the total cost of the group's tickets, we can use an equation that relates the number of tickets to the cost per ticket. Let's assume the group consists of "n" friends. The equation to represent the total cost (C) of the group's tickets can be written as:

C = 8.00n

Here, "C" represents the total cost, and "n" represents the number of friends in the group. Since each ticket costs $8.00, multiplying the number of tickets by the cost per ticket gives us the total cost of the group's tickets. For example, if there are 5 friends in the group, substituting n = 5 into the equation yields:

C = 8.00 * 5

C = 40.00

Thus, the total cost of the group's tickets would be $40.00.

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Answer:D

Step-by-step explanation:

Answer:

its 2,713

Step-by-step explanation:

i did test

Answer:

c. variables, constants, and functions

Step-by-step explanation:

A predicate is the property that some object posses. Predicate calculus is a kind of logic that combines the categorical logic with propositional logic. The formal syntax of a predicate calculus contains 3 Terms which consist  of:

1.  Constants and Variables

2. Connectives

3. Quantifiers

But in arguments to predicates and functions, the terms  can only be combination of variables, constants, and functions.

The slope is -Ea/R and the intercept is equal to ln(A)

The Arrhenius equation is a mathematical equation that describes the relationship between the rate constant of a chemical reaction and temperature:

k = Ae^(-Ea/RT)

where k is the rate constant, A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the temperature in Kelvin.

The slope and intercept of the linear plot of the Arrhenius equation using a semilogarithmic (semilog) plot can be determined by transforming the equation into a linear form. The semilog plot is created by taking the logarithm of the rate constant (k) on the y-axis and the reciprocal of the temperature (1/T) on the x-axis:

ln(k) = ln(A) - Ea / RT

The slope of the plot is equal to -Ea/R and the intercept is equal to ln(A). By fitting a straight line to the semilog plot, the values of Ea and A can be determined.

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Answer:

the number 228

Step-by-step explanation:

Let's call the smallest number in the consecutive sequence "x". Then, the 10 consecutive numbers are x, x+1, x+2, x+3, x+4, x+5, x+6, x+7, x+8, and x+9.

If we exclude one of these numbers, then the sum of the remaining 9 numbers would be:

(x) + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) + (x+6) + (x+7) + (x+8) or 9x + 36.

We know that the sum of the remaining 9 numbers is 2023, so we can set up the equation:

9x + 36 = 2023

Solving for x, we get:

9x = 1987

x = 221

Therefore, the smallest number in the consecutive sequence is 221, and the 10 numbers are 221, 222, 223, 224, 225, 226, 227, 228, 229, and 230.

If we exclude the number 228, then the sum of the remaining 9 numbers is 2023.

The probability that at least one of the 5 people selected has been vaccinated is 0.998, or 99.8%.

To solve this problem, we can use the complement rule, which states that the probability of an event happening is equal to 1 minus the probability of the event not happening. In this case, the event we're interested in is at least one person being vaccinated.
First, we need to find the probability that none of the 5 people selected have been vaccinated. Since 62% of the population has been vaccinated, that means 38% have not been vaccinated. So the probability of any one person not being vaccinated is 0.38.
Using the multiplication rule for independent events, the probability that all 5 people have not been vaccinated is:
0.38 x 0.38 x 0.38 x 0.38 x 0.38 = 0.002
Now we can use the complement rule to find the probability that at least one person has been vaccinated:
1 - 0.002 = 0.998
So the probability that at least one of the 5 people selected has been vaccinated is 0.998, or 99.8%.

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Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

Answer:

The fixed term is the y-intercept. In this case the y-intercept would be 100.

Step-by-step explanation:

This is because the 100 dollars cannot be changed. You can always change the amount you save per month and the amount of months you save.

Answer:

option 2

Step-by-step explanation:

the cosine rule is

cos A = b² + c² - a² / 2bc

so, A is x°

a is 41

b is 37

c is 63

solving the equation will give you the value of x°