Based only on the given information, it is guaranteed that AD
= DB

Answer:

Positive

Hope it helps :)

How to find a parabola's equation using its Vertex Form

Step 1: use the (known) coordinates of the vertex, (h,k), to write the parabola's equation in the form: y=a(x−h)2+k. ...

Step 2: find the value of the coefficient by substituting the coordinates of point P into the equation written in step 1 and solving for a.

The medication NT71B caused the patient's hemoglobin count to decrease by an average of 0.32 g/dL per week during the five-week trial.

To determine how much the patient's hemoglobin count decreased each week due to the medication NT71B, we can calculate the average rate of decrease over the five-week trial period.

The initial hemoglobin count was 14.2 g/dL, and the final hemoglobin count after five weeks was 12.6 g/dL. The total decrease in hemoglobin count over the five weeks is:

14.2 g/dL - 12.6 g/dL = 1.6 g/dL

To find the average decrease per week, we divide the total decrease by the number of weeks:

Average decrease per week = Total decrease / Number of weeks

= 1.6 g/dL / 5 weeks

= 0.32 g/dL per week

Therefore, the medication NT71B caused the patient's hemoglobin count to decrease by an average of 0.32 g/dL per week during the five-week trial.

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Answer:

Step-by-step explanation:

The correct definition of perpendicular lines is option 1: "Two lines that intersect in a way that forms right angles."

When two lines intersect to form four right angles (90-degree angles), they are said to be perpendicular to each other. The point at which the lines intersect is called the point of intersection.

Therefore, option 1 is the correct definitation of perpendicular lines.

Answer: 1. Two lines that intersect in a way that forms right angles.

Step-by-step explanation:

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Answer:

it must increase by 5 units

Step-by-step explanation:

Answer:

157.48

Step-by-step explanation:

1 metre = 39.37 inches(Approx.)

=> So, 4 metres= 4 * 39.37 = 157.48

Answer:

158in

Step-by-step explanation:

1m = 39.37

So,

4m = 4*39.37

     = 157.48 = 157.5 = 158in

Answer:

If f(-5) = 7, then the point P(-5, 7) will be on the graph of f

where -5 is the x-coordinate and 7 is the y-coordinate

Step-by-step explanation:

Answer:

x = 1/2

I don't know right or wrong

Answer:

Step-by-step explanation:

the consecutive are 39,40,41 and the smallest here is 39

Hope this helped

Point A is a solution to the system of inequalities for the given coordinate grid.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The given coordinate grid shows points A through K.

The system of inequalities is given, as follows:

y ≤ -2x + 10

y > (1/2)x - 2

The solution to the system of inequalities is the region that is above the line for the second inequality and below the line for the first inequality. This region is the shaded region that lies between the two lines, which represents the set of points that satisfies both inequalities.

Thus, point A is a solution to the system of inequalities

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Answer:

826×3569=2947994 ans

Answer:

\(x=-1\)

Step-by-step explanation:

STEP 1: Factor  x ^2 − 8 x + 12  using the AC method.

\(\frac{4}{(x-6)(x-2)} =\frac{x}{x-2} +\frac{1}{x-6}\)

STEP 2: Find the LCD of the terms in the equation.

\((x-6)(x-2)\)

STEP 3: Multiply each term by  ( x − 6 ) ( x − 2 )  and simplify.

\(4=x^2-5x-2\)

STEP 4: Solve the equation.

\(x=6,-1\)

STEP 5: Figure out the answer.

\(x=-1\)

Answer:

x=-1

Step-by-step explanation:

Answer:

m-4n=8 divide both sides by 4.

m-n=2

There are two variables, so this is the simplest form.

The value of the expression 18 + 4(28) will be 130.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ 18 + 4(28)

Simplify the expression, then the value of the expression will be

⇒ 18 + 4 x (28)

⇒ 18 + 4 x 28

⇒ 18 + 112

⇒ 130

Thus, the value of the expression 18 + 4(28) will be 130.

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68% of states have an infant mortality rate between 5.36 and 8.60 percent.

In statistics, the 68–95–99.7 rule, also known as the empirical rule, is a shorthand used to remember the percentage of values that lie within an interval estimate in a normal distribution: 68%, 95%, and 99.7% of the values lie within one, two, and three standard deviations of the mean, respectively.

In this problem, we have that:

Assuming that the distribution is normal, what percentage of states have an infant mortality rate between 5.36 and 8.60 percent (per 1,000 live births)?

\(\sf 5.36 = 6.98 - 1\times1.62\)

So, 5.36 is one standard deviation below the mean.

\(\sf 8.60 = 6.98 + 1\times1.62\)

So 8.60 is one standard deviation above the mean.

Therefore, by the Empirical Rule, 68% of states have an infant mortality rate between 5.36 and 8.60 percent.

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Answer:

$123.59

Step-by-step explanation:$178.91 - $55.32 = $123.59

Answer: $123.59

Step-by-step explanation:

$178.91 - $55.32

$55.32 + $123.59

Answer:

The recoil velocity of the gun is \(0.72\,\,\frac{km}{h}\)  and is pointing in opposite direction to the velocity of the bullet.

Step-by-step explanation:

Use conservation of linear momentum, which states that the momentum of the bullet (product of the bullet's mass times its speed) should equal in absolute value the momentum of the recoiling gun (its mass times its recoil velocity).

We also write the mass of the bullet in the same units as the mass of the gun (for example kilograms). Mass of the bullet = 0.010 kg

In mathematical terms, we have:

\(5\, kg * v= 0.01 \,kg\,* 360\,\frac{km}{h} \\v=\frac{0.01\,*360}{5} \,\,\frac{km}{h}\\v=0.72\,\,\frac{km}{h}\)

Answer:

4.2

Step-by-step explanation: should be because a irrational number is a real number that can not be written as a simple fraction

Answer:

you eat 1 chip

Step-by-step explanation:

eat 1 chip and you get 31 oz

Answer:

Explanation:

Given the expression:

First, any number (except 0) raised to the power of 0 is 1. Thus:

Next, apply the negative index law of indices:

Therefore:

The given expression written using positive exponents only is:

Answer:

1.029 is greater than 1.0275

Step-by-step explanation:

Answer:

1.029

Step-by-step explanation:

What is greater 1.0275 or 1.029

.027 < .029

So, 1.029 is greater.

Answer:

500° celsius = 932.0° fahrenheit....

Answer:

932 fahrenheit

Step-by-step explanation:

500 celsius to fahrenheit is 932 fahrenheit    

Answer:

a. This probability is the p-value of Z when X = 60.

b. This probability is the p-value of Z when X = B subtracted by the p-value of Z when X = A.

c. The proportion is the p-value of Z when X is the length of the examination period. How many students is this proportion multiplied by the number of students.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean \(\mu\), standard deviation \(\sigma\).

a. What is the probability of completing the exam in one hour or less (to 4 decimals)?

This probability is the p-value of Z when X = 60.

b. What is the probability that a student will complete the exam in more than minutes A but less than B minutes (to 4 decimals)?

This probability is the p-value of Z when X = B subtracted by the p-value of Z when X = A.

c. Assume that the class has students and that the examination period is minutes in length. How many students do you expect will be unable to complete the exam in the allotted time (to nearest whole number)?

The proportion is the p-value of Z when X is the length of the examination period. How many students is this proportion multiplied by the number of students.

Answer:

To simulate one trial of this situation using a random number table, we can follow these steps:Step 1: Assign the digits 00-04 to represent packages not delivered on time and 05-99 to represent packages delivered on time.Step 2: Generate a two-digit random number from the random number table.Step 3: If the generated number falls between 00 and 04, count it as a package not delivered on time. If the generated number falls between 05 and 99, count it as a package delivered on time.Step 4: Repeat steps 2 and 3 until we get a package not delivered on time.The correct option is: Read two-digit numbers. Count the number of packages that are needed in order to find one that was not delivered on time.

Step-by-step explanation:

Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

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The weight of baby in kg is, 3.659 kg.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The baby weighs 8.06 lbs.

Now, We know that;

⇒ 1 pound = 0.454 kg

Hence, The weight of baby in kg is,

⇒ 8.06 pounds = 8.06 × 0.454 kg

                        = 3.659 kg

Thus, The weight of baby in kg is, 3.659 kg.

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Answer:D you can tell it’s much wider and it’s not at a 90 degree or less

Step-by-step explanation:

The simplest form of -1/3 + 1/9 is -2/9

Simplest form can be described as when the number both the numerator and denominator have been reduced to it's lowest form

The first step is to write out the fractions

-1/3 + 1/9

= -2/9

Hence the simplest form is -2/9

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Given statement solution is :- Mathematical models are extremely valuable tools in various fields, including chemistry, biology, and physics. They offer several advantages: Simplification and abstraction, Prediction and simulation, Cost and time efficiency, Insight and understanding.

Mathematical models are extremely valuable tools in various fields, including chemistry, biology, and physics. They offer several advantages:

Simplification and abstraction: Mathematical models allow complex systems or processes to be represented using simplified mathematical equations or algorithms. This simplification helps in understanding the underlying principles and relationships of the system, making it easier to analyze and predict outcomes.

Prediction and simulation: Models enable scientists to make predictions about the behavior of a system under different conditions. They can simulate scenarios that are difficult or impossible to observe in the real world, allowing researchers to explore various hypotheses and make informed decisions.

Cost and time efficiency: Models can be used to explore different scenarios and test hypotheses in a relatively quick and cost-effective manner compared to conducting real-world experiments. They can help guide experimental design by providing insights into the most relevant variables and parameters.

Insight and understanding: Mathematical models often reveal underlying patterns and relationships that may not be immediately apparent from experimental data alone. They provide a framework for organizing and interpreting data, leading to a deeper understanding of the system being studied.

However, mathematical models also have limitations and potential disadvantages:

Simplifying assumptions: Models are based on assumptions and simplifications, which may not fully capture the complexity of the real-world system. If these assumptions are incorrect or oversimplified, the model's predictions may be inaccurate or misleading.

Uncertainty and error: Models are subject to uncertainties and errors stemming from the inherent variability of the system, limitations in data availability or quality, and simplifying assumptions. It is crucial to assess and communicate the uncertainties associated with model predictions.

Validation and verification: Models need to be validated and verified against experimental data to ensure their accuracy and reliability. This process requires rigorous testing and comparison to real-world observations, which can be challenging and time-consuming.

Mathematical models are closely linked to the fields of chemistry, biology, and physics, providing valuable insights and predictions in these disciplines. Here are some examples:

Chemistry: Mathematical models are used to study chemical reactions, reaction kinetics, and molecular dynamics. One example is the use of rate equations to model the kinetics of a chemical reaction, such as the reaction between reactants A and B to form product C.

Biology: Mathematical models play a crucial role in understanding biological systems, such as population dynamics, gene regulation, and the spread of infectious diseases. For instance, epidemiological models like the SIR (Susceptible-Infectious-Recovered) model are used to simulate and predict the spread of diseases within a population.

Physics: Mathematical models are fundamental in physics to describe physical phenomena and predict outcomes. One well-known example is Newton's laws of motion, which can be mathematically modeled to predict the motion of objects under the influence of forces.

Quantum mechanics: Mathematical models, such as Schrödinger's equation, are used to describe the behavior of particles at the quantum level, providing insights into atomic and molecular structures and the behavior of subatomic particles.

Fluid dynamics: Mathematical models, such as the Navier-Stokes equations, are employed to study the behavior of fluids, including airflow, water flow, and weather patterns.

These examples demonstrate the wide range of applications for mathematical models in understanding, predicting, and simulating various phenomena in the fields of chemistry, biology, and physics.

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