Two numbers differ by 8 if their product is 713 then the sum of the two numbers is.
The sum of the two numbers is equal to 70.
Let the first number be x.Let the second number be y.In this exercise, you're required to find two numbers by translating the word problem into an algebraic expression and then solving for the unknown variables (x and y).
Translating the word problem into an algebraic expression, we have;
Two numbers differ by 8:
[tex]x-y=8[/tex] ....equation 1.
The product of the two numbers is 713:
[tex]xy=713[/tex] ....equation 2.
To calculate the sum of the two numbers:
First of all, we would solve for each of the unknown variables (x and y).
From eqn. 1, we have:
[tex]x=8+y[/tex] ....equation 3.
Substituting eqn. 3 into eqn. 2, we have:
[tex]y(y+8)=713\\\\y^2+8y=713\\\\y^2+8y-713=0[/tex]
Solving the quadratic equation by factorization, we have:
[tex]y^2-31y +23y-713=0\\\\y(y-31)+23(y-31)=0\\\\(y+23)(y-31)=0[/tex]
y = -23 or 31.
For the value of x, when y = 31:
[tex]x=8+31[/tex]
x = 39
Now, we can calculate the sum of the two numbers:
[tex]x+y=39+31=70[/tex]
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A country that is concerned about inflation wants to:.
Answer:
Prevent its currency from losing value too quickly.
Explanation:
1. A ship is sailing in dense fog and it could be close to dangerous cliffs. The captain switches on the fog horn. The horn sounds and the echo is heard 4 s later. The speed of sound in air is 340 m/s.
a. Calculate the distance between the ship and the cliff.
b. Next time the fog horn sounds it takes 3.5 s for the echo to be heard. State whether the ship is further from, nearer to or at the same distance from the cliff.
Answer:
a. 1360 m
b. Closer since it takes a shorter amount of time for the fog horn to be heard
Explanation:
a. 340 · 4 = 1360
b. 340 · 3.5 = 1,190
You are in charge of an event at work. You want to plan and schedule events and resources.
Answer:
Plan it out ahead of time
Explanation:
Which statement is most closely related to the modern theory of evolution?.
POPULATION THAT HAVE ADVANTAGEOUS CHARACTERISTICS WILL INCREASE IN NUMBER IS THE STATEMENT RELATED TO THE MODERN THEORY OF EVOLUTION.
What is the solution to the system? (–3, –2) (4, –3) (4, –2) (4, –1).
Answer:
b. 4,-3
Explanation:
i just did it
An astronaut in the space station appears weightless because the astronaut seems to float. Which of the following claims is true about the force exerted on the astronaut by earth?.
Answer:
The force exerted on the astronaut by Earth is equal to the force exerted on Earth by the astronaut.
Explanation:
The claim that is true about the force exerted on the astronaut by the earth is equal to the force exerted on Earth by the astronaut. The correct option is D.
Who is an astronaut?An astronaut is a scientist who studies the bodies outside the earth. The galaxies, planets, and other astronomical units.
Newton's third rule of motion states that there is always an equal and opposite response to every action in nature. For example, if a first item exerts a specific amount of force on a second object, the second object will do the same but in the opposite direction.
As a result, the gravitational pull that Earth has on the astronaut is equivalent to the pull that the astronaut has on Earth.
Therefore, the correct option is D) the force exerted on the astronaut by Earth is equal to the force exerted on Earth by the astronaut.
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The question is incomplete. Your most probably complete question is given below:
A) there is no force exerted on the astronaut by Earth because the astronaut is 400km above Earth’s surface
B) the force exerted on the astronaut by Earth is less than the force exerted by the astronaut because the astronaut is 400km above Earths surface
C) the force exerted on the astronaut by Earth is equal to the gravitational force of the space station that is exerted on the astronaut; the two equal forces balance to cause the astronaut to float.
D) the force exerted on the astronaut by Earth is equal to the force exerted on Earth by the astronaut
School taxes for a local district are 2. 5% of a household's income. The smith household earns $80,000 per year. How much do the smiths pay in school taxes per year?.
Answer:
2.5% of $80,000=$2,000
The Smiths pay $2,000 in school taxes per year.
Explanation:
100%=$80,000
10%=$80,000(100%)/10=$8,000(10%)
5%=$8,000(10%)/2=$4,000(5%)
2.5%=$4,000(5%)/2=$2,000(2.5%)
Which list of nuclear emissions is arranged in order from the least penetrating power to the greatest penetrating power?.
Answer:
they are alpha < beta < neutron < gamma.
Explanation:
What is one way people can reduce the amount of taxes they owe in a year brainly.
it will be intrest blc there will be rent
Determine whether or not the vector field is conservative. If it is conservative, find a function f such that f = ∇f. (if the vector field is not conservative, enter dne. ) f(x, y, z) = i + sin(z)j + y cos(z)k.
If F(x, y, z) = i + sin(z) j + y cos(z) k is conservative, then there exists a scalar function f(x, y, z) such that grad(f) = F, which means
∂f/∂x = 1
∂f/∂y = sin(z)
∂f/∂z = y cos(z)
Integrating each each of these equations gives
∫ ∂f/∂x dx = ∫ dx ⇒ f(x, y, z) = x + α(y, z)
∫ ∂f/∂y dy = ∫ sin(z) dy ⇒ f(x, y, z) = y sin(z) + β(x, z)
∫ ∂f/∂z dx = ∫ y cos(z) dz ⇒ f(x, y, z) = y sin(z) + γ(x, y)
It follows that α(y, z) = y sin(z) and β(x, z) + γ(x, y) = x + C where C is a constant. So
f(x, y, z) = x + y sin(z) + C
and F is indeed conservative.
Someone's mother has four sons north south and east.
What chemical is added to natural gas in case of gas leaks? because natural gas is odorless and colorless, is added to provide a strong odor in case of gas leaks.
The chemical added to natural gas in case of gas leaks is mercaptan added to provide a strong odor in case of gas leaks as natural gas is odorless and colorless.
What are the uses of Natural Gas?Natural gas is used in the business sector as well as in households to cook, heat water, run refrigeration and air-conditioning systems, cook, dry clothing, and light up the night.
Methane is the principal carbon substance in natural gas. Natural gas is tasteless, colorless, and odorless, so gas companies add mercaptan to give it an unpleasant stench that can be used to detect leaks in natural gas pipes.
Natural gas is given the chemical mercaptan in order to make leaks simpler to find. The most crucial fact about mercaptan is that it smells bad. It has been compared by some to the stench of rotting eggs. Its odor is quite intolerable in concentrated form.
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Fill in the table below by providing a date and a meaningful description of each of the events listed. Be sure to identify the importance of each event to the history of immigration in the united states. Note that the events are not in the correct chronological order. You will organize these events in the next step. To complete the table, review information from the course and gather additional sources online or elsewhere. As you conduct your research, please use the resources table below to provide the citation information for any sources you rely on.
From the information given, the following can be deduced:
Cuban Revolution: It should be noted that there was large scale migration from Cuba after the revolution in 1959.
Great Depression: It began in 1932 when severe droughts hit the country. This led to a worsening economic situation.
Information Reform and Control Act of 1986: The law criminalized the pattern of hiring unauthorized alien. This was done in order to curb undocumented immigration.
Japanese Internment: This was the forceful relocation of the Japanese during World War II.
Nativism: This policy was adopted to protect the interest of the established citizens against immigrants.
Comprehensive Reform Act of 2007: The bill was discussed in order to provide legal status for undocumented immigrants.
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Δpqr is located at p (−3, −3), q (0, 0), and r (3, −3). Which statement correctly classifies δpqr? δpqr is a scalene triangle. Δpqr is an isosceles triangle. Δpqr is an equilateral triangle. Δpqr is a obtuse triangle.
Answer:
The Third choice- Δpqr is an equilateral triangle
Explanation:
If you put it on the graph and make the triangle on the graph. You get your answer.
Hailey (entering from the side door and depositing a full backpack on the table): hi, mom! i’ve got a ton of homework tonight. Mrs. Renault (stepping forward and offering a letter for inspection): oh, yeah? well, a letter came for you today. It says it’s from the encore summer institute. Hailey (taking the letter and opening it): i’ve been waiting for this (reading the letter, eyes growing wider). Oh, mom, i got in. Unbelievable. I can’t, i mean, this is amazing. Mrs. Renault (shaking her head and clutching her hands, jaw dropping): read it out loud. . . . Which line from the play contains dialogue that reveals emotion?.
There are different kinds of lines in the passage. The line from the play contains dialogue that reveals emotion is "Oh, Mom, I got in. Unbelievable. I can’t, I mean, this is amazing".
There are different ways to show emotions in a dialogue. This can be seen a lot through Facial Expressions such as when one's eyes go wide or a tugging of the ear.
Facial expressions are known to be the first reaction of the human body to another individuals dialogue. They often show how a certain characters feel about what they have heard or seen.
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The piecewise function f(x) has opposite expressions. F(x) = startlayout enlarged left-brace 1st row 1st column 2 x minus 1, 2nd column x less-than 0 2nd row 1st column 0, 2nd column x = 0 3rd row 1st column negative 2 x + 1, 2nd column x greater-than 0 which is the graph of f(x)?.
The piecewise expression presented in the question gives values of f(x)
that change based on the range of the input value, x.
The graph of the piecewise expression f(x) is attachedReasons:
The given piecewise function is presented as follows;
[tex]f(x) = \begin{cases}2 \cdot x - 1, & \text{ if } x < 0 \\0, & \text{ if } x = 0\\-2 \cdot x + 1, & \text{ if } x > 0 \end{cases}[/tex]Required:
To find the graph of f(x)
Solution:
From the piecewise function, we have;
For x < 0, f(x) = 2·x - 1The slope, m = 2
Therefore, as x tends to 0, f(x) tends to 2×0 - 1 = -1
Therefore, for x < 0, the graph starts with an open circle at f(x) = -1, and f(x) decreases as graph moves from right to left.
At x = 0, f(x) = 0, which represent a point on the graphFor x > 0, f(x) = -2·x + 1
Which gives that as x tends to 0, f(x) tends to +1
The slope of the graph, m = -2
Therefore, the graph is a straight line that starts with an open circle at f(x) = +1 and slopes downwards from left to right.
Please find attached the graph of f(x) created with MS Excel
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Answer:
C
Explanation:
took the test on edge :p
Find the perimeter of the figure below, in centimeters.
Perimeter is the sum of the length of the sides used to make the given figure. The perimeter of the given figure will be 76.2 cm.
What is the perimeter?Perimeter is the sum of the length of the sides used to make the given figure.
The perimeter of the given figure is the sum of all the sides of a figure, therefore, the perimeter of the figure is,
Perimeter = 9.1cm + 6.9cm + 6.9cm + 11.9cm + 3.3cm + 9.1cm + 3.3cm + 11.9cm + 6.6cm + 6.6cm = 76.2cm
Hence, the perimeter of the given figure will be 76.2 cm.
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Match the words on the left with their definitions on the right you may use a dictionary.
Answer:
There is no words?
Explanation:
Okay? You okay?
What is the most appropriate unit for the length of a pencil.
Answer:
inches
Explanation:
because centimeters is to small and inches is easier to count
The perimeter of the figure below is 133.1 ft.
Find the length of the missing side.
Answer:
9.6
Explanation:
because if we did if we subtract the total number which is which we are giving 133.1 minus the total number is that the Debt term give us by him by the drawing it will give us 9.6 feet
Which of the following is a similarity between goods and services.
Answer:
I need only 5 brainlisted please give me
Which of the following statements are true? check all of the boxes that apply.
Answer: can't see the boxes?
Explanation:
Answer:
A and C
Explanation:
Trust
What season is it in london england on december 30th.
Answer:
winter season is it in London England on December 30th
A researcher wants to conduct a study to see if playing chess improves memory. The researcher finds 50 individuals who play chess regularly and 50 that do not. Each of the 100 individuals are given a questionnaire designed to determine memory level. If the 100 individuals did not know they were participating in the study, which statement about the study is correct?.
Answer:
This is an observational study
Explanation:
just took the test
Juanita wants to perform row operations on the augmented matrix for the system below.
Answer:B
Explanation: right on edge
Few of the applicants made it through the grueling admissions process.
The question requires that we identify the term that best describes the italicized phrase, "Few of the applicants."
The answer is Simple Subject.
The Simple Subject is a term that refers to the person or thing that performs the action in a sentence.
The simple subject that performed the act of making it through the grueling admissions process is: Few of the applicants.
So, the correct answer is: Simple Subject.
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Consider this reaction: 2h+ + co32- → h2o + co2. Identify each of the following as a product, a reactant, or a coefficient. Co32-: h2o: co2: the 2 in front of h+:.
1. CO₃²¯ is a reactant
2. H₂O is a product
3. CO₂ is a product
4. The 2 in front of H⁺ is a coefficient.
Chemical equation generally comprises of reactants and products.
The reactants are located on the left while the products are located on the right side.The coefficients are numbers written where necessary before each reactants or products in order to balance the chemical reaction.With the above information in mind, we can obtain the answers to the question as follow:
2H⁺ + CO₃²¯ —> H₂O + CO₂
From the above equation, we can conclude as follow:
CO₃²¯ is a reactantH₂O is a product CO₂ is a productThe 2 in front of H⁺ is a coefficient.Learn more about chemical equation:
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The reactant, product and coefficient of the chemical equation are 2H⁺ and CO₃², H₂O and CO₂ and 2 respectively.
The chemical reaction is as follows:
2H⁺ + CO₃²⁻ → H₂O + CO₂
Chemical reaction is the reaction between two or more substances to form a new substance.
The reaction is between an hydrogen ion(cations) and a carbonate ion(anions).
Generally, the reactant of a chemical equation is on the left hand side of the equation while the product is on the right hand side.
The coefficient are in front of the elements or compound involve in the reaction.
Therefore, 2H⁺ and CO₃²⁻ are the reactant of the chemical equation and H₂O and CO₂ are the product . The coefficient is the 2 in front of H⁺ .
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If you are the driver or owner of a vehicle which is in a crash that is your fault and you are not.
The scatter plot shows how the cooking time for a turkey is related to its weight. Which statement is not supported by the trend in the scatter plot?.
Answer Each additional pound adds about 2 hours of cooking time.
Explanation:
this is the answer