Mathematics High School
Answers
Answer 1
2x + (2x + 2) + (2x + 4) = -66
6x + 6 = -66
6x = -72
x = -12
Plug in
-24, -22, -20
Answer 2
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Related Questions
Please help!!
Simplify 4 x times the square root of quantity 3 x end quantity minus x times the square root of quantity 3 x end quantity minus 2 x times the square root of quantity 3 x end quantity period.
X times the square root of quantity 3 x end quantity
x times the square root of quantity 9 x end quantity
2 x times the square root of quantity 6 x end quantity
2 x times the square root of quantity 6 x cubed
Answers
Answer: [tex]\text{x}\sqrt{3\text{x}}[/tex] which is Choice A
=========================================
Work Shown:
Let [tex]y = \sqrt{3\text{x}}[/tex]
So,
[tex]4\text{x}\sqrt{3\text{x}}-\text{x}\sqrt{3\text{x}}-2\text{x}\sqrt{3\text{x}}\\\\4\text{x}y-\text{x}y-2\text{x}y\\\\(4\text{x}-\text{x}-2\text{x})y\\\\\text{x}y\\\\\text{x}\sqrt{3\text{x}}\\\\[/tex]
This therefore means:
[tex]4\text{x}\sqrt{3\text{x}}-\text{x}\sqrt{3\text{x}}-2\text{x}\sqrt{3\text{x}}=\text{x}\sqrt{3\text{x}}\\\\[/tex]
as long is x is nonnegative.
In the passage, the author anticipates which of the
following objections to criticizing the ethics of free
markets?
A) Smith’s association of free markets with ethical
behavior still applies today.
B) Free markets are the best way to generate high
profits, so ethics are a secondary consideration.
C) Free markets are ethical because they are made
possible by devalued currency.
D) Free markets are ethical because they enable
individuals to make choices.
Answers
In the passage, the author anticipates the objections to criticizing the ethics of free markets are ethical because they enable individuals to make choices.
Which objection does the author criticize the ethics of free markets?
According to the author, people object to criticizing ethics in free markets because they believe free markets are inherently ethical, making research into the role of ethics in free markets unnecessary.
Free markets, according to critics, are ethical because they allow individuals to make their own decisions about which goods to buy and which goods to sell.
Option A and B are false because they are not objections to the ethics of free markets.
Option C is incorrect because the author does not present the viewpoint that devalued currency is necessary for free markets.
Therefore, the correct answer is option D) Free markets are ethical because they enable individuals to make choices.
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Just need help on 29
Answers
Answer:
b.is the answer to your question
The pyramid shown has a height of 14 inches and a base area of 60 in2. Find the volume of the pyramid.
Answers
Volume of pyramid is [tex]280 in^{3}[/tex].
The pyramid has a height 14 inches and a base area of 60 in2.
What is volume?
Volume is a three - dimensional quantity that is used to measure the capacity of a solid shape.
Volume of the pyramid = [tex]Area base[/tex] X [tex]\frac{height}{3}[/tex]
= [tex]60.\frac{14}{3}[/tex]
= [tex]280[/tex] [tex]in^{3}[/tex]
So the volume of pyramid = [tex]280[/tex] [tex]in^{3}[/tex]
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A pillar candle is shaped like a cylinder with a radius of 1.5 inches. the candle holds 123 cubic inches of wax. how tall is the candle? use 3.14 for pi. round your answer to the nearest hundredth. 12.50 inches 15.76 inches 17.41 inches 18.76 inches
Answers
The length of the cylindrical shaped candle will be 17.41 inches.
We have,
A pillar candle shaped like a cylinder carrying wax.
And,
Radius of cylindrical candle = 1.5 inches
And,
Volume of the cylindrical candle = 123 cubic inches,
And,
Let length of the cylindrical candle = h
So,
Now,
According to the question,
The Volume of the cylindrical candle = πr²h
Now,
Putting values,
i.e.
123 = 3.14 × (1.5)² × h
i.e.
123 = 3.14 × 2.25 × h
And,
On solving we get,
h = 123/(3.14 × 2.25)
i.e.
h = 123/7.065
i.e.
h = 17.41 inches
So,
The length of cylindrical candle = 17.41 inches.
Hence we can say that the length of the cylindrical shaped candle will be 17.41 inches.
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ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Answers
[tex]\huge\mathcal{♨Answer♥}[/tex]
[tex] \large \texttt{Expression :}[/tex]
[tex] \frac{( {8}^{2} - 39) }{ {5}^{2} } [/tex]
[tex] \large \texttt{Answer :}[/tex]
[tex] = \frac{( {8}^{2} - 39) }{ {5}^{2} } [/tex]
[tex] = \frac{64 - 39}{25} [/tex]
[tex] = \frac{25}{25} [/tex]
[tex] = 1[/tex]
☆...hope this helps...☆
_♡_mashi_♡_
7. the circuit law, v=i*z is used in circuit analysis. if l=3i and z=7i, what is the voltage, v?
Answers
21i is the voltage, v.
What does voltage V mean?
When charged electrons (current) are forced through a conducting loop by the pressure of an electrical circuit's power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).
Given,
V = I×Z
I = 3i
Z = 7i
Voltage (V)
V = I × Z
V = 3i × 7i
V= 21i
Hence, the Voltage is 21i.
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A group of friends went out for dinner 19 of the diners ordered vegetarian food and 14 ordered non-vegetarian food what is the ratio of the number of vegetarian meals to the number of non vegetarian meals?
Answers
The ratio of the vegetarian meals to the number of non vegetarian meals is 19: 14 or 19/ 14
What is ratio?
Ratio is simply a term used to compare two or more numbers.
It is also used to indicate size or quantity of two or more elements when compared to another.
From the information given, we have that;
19 of the diners ordered vegetarian food 14 ordered non-vegetarian food
The ratio of the vegetarian meals to the non vegetarian meals is :
19 : 14
This could also be written as;
19/ 14
Thus, the ratio of the vegetarian meals to the number of non vegetarian meals is 19: 14 or 19/ 14
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5+ 4(x - 1) = 2x - 9
please help and EXPLAIN IT
Answers
Answer:
-5
Step-by-step explanation:
5 + 4(x - 1) = 2x - 9
5 + 4x - 4 = 2x - 9 [distributive property]
1 + 4x = 2x - 9 [combine like terms]
1 + 2x = -9 [subtract 2x from both sides]
2x = -10 [subtract 1 from both sides]
x = -5 [divide both sides by 2]
The function C = 2x + 3y is minimized at the vertex point of the feasible region at (4, 0). What is the minimum value?
Answers
The required minimum value of the function C = 2x + 3y is 8.
Given that,
The function C = 2x + 3y is minimized at the vertex point of the feasible region at (4, 0). What is the minimum value is to be determined.
What is simplification?
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,
C = 2x + 3y
At the vertex point of the feasible region at (4, 0).
C = 2*4 + 3*0
C = 8
Thus, the required minimum value of the function C = 2x + 3y is 8.
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A microwave is placed on top of two boxes. One box is 2 feet 4 inches tall, the other box is 2 feet 7 inches tall, and the microwave is 2 feet 2 inches tall. How tall are they combined?
Answers
Answer:
6ft 13in
Step-by-step explanation:
what is all of the rotation rules? (geometry)
Answers
Answer:
These are the rules of rotation for geometry.
1) 90° clockwise rotation: (x,y) becomes (y,-x)
2) 90° counterclockwise rotation: (x,y) becomes (-y,x)
3) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
4) 270° clockwise rotation: (x,y) becomes (-y,x)
5) 270° counterclockwise rotation: (x,y) becomes (y,-x)
Step-by-step explanation:
I hope this helps! I also added a picture to make this more clear.
William and Debra Pierce are celebrating their 20th anniversary by having a reception at a local reception hall. They have budgeted $2,500 for their reception. If the reception hall charges a $100 cleanup fee plus $38 per person, find the greatest number of people that they may invite and still stay within their budget.
William and Debra can invite at most ____ people to the reception.
Please help asap! This is due today and I need help to better understand this. Tysm!
Answers
The greatest number of people that William and Debra may invite and still stay within their budget is 63.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Since William and Debra have budgeted $2,500 for their reception. Therefore, their total expenses should be equal to the total expenses in the reception.
Budget = Total expenses
Budget = Reception hall Cleanup charge + $38 per person fee
Let the number of people invited to the party be represented by x,
$2,500 = $100 + $38(x)
2500 = 100 + 38x
2500 - 100 = 38x
2400 = 38x
x = 2400 / 38
x = 63.157 ≈ 63
Hence, the greatest number of people that William and Debra may invite and still stay within their budget is 63.
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Solve the equation. Check for extraneous solutions. |x - 4| = 5x + 12
x = []
Answers
The solution of the equation is x = -4/3.
What does it mean to solve an equation?
An equation represents equality of two or more mathematical expression.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
WE have been given an equation as;
|x - 4| = 5x + 12
In an absolute value equation, we solve the original expression as our first equation. Our second one is that we multiply the right side by -1.
Case 1: original equation
|x - 4| = 5x + 12
x - 4 = 5x + 12
x - 5x = 12 + 4
-4x = 16
x = -4
Case 2: Opposite equation
|x - 4| = 5x + 12
x - 4 = - (5x + 12)
x - 4 = - 5x - 12
x + 5x = -12 + 4
6x = -8
x = -4/3
Now we have two solutions. We need to check for extraneous solutions because of all the manipulations;
Check:
|x - 4| = 5x + 12
use x = -4
|-4 - 4| = 5(-4) + 12
| -8 | = -20 + 12
8 = -8
Thus, it is Not a solution
Now, |x - 4| = 5x + 12
use x = -4/3
| -4/3 - 4| = 5( -4/3) + 12
|-16/3 | = -20/3 + 12
|-16/3 | = 16/3
16/3 = 16/3
Thus, it is the Solution.
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What is the slope of the line that contains the points (1, −9) and (−3, 3)?
Answers
Answer:
-3 is your slope.
Step-by-step explanation:
Use y₂-y₁ / x₂-x₁
for example y₂ would be 3 and x₁ would be 1 in this case.
Answer:
b.) -3 is the answer
Step-by-step explanation:
Write the slope-intercept form of the equation.
through: (3,-5), slope = undefined
Answers
Answer:
So x is the same for any value of y on the line, which is why the equation is "x=some number" and the line is vertical. So the equation of a line, in slope-intercept form, with an undefined slope (m=undefined) crossing through the point (-3, 5) is: x= -3 , which is a vertical line
Katie is travelling in the United Kingdom and finds that she can buy a liter of her
favorite juice for the same price as she can buy a pint in the United States. Which
one is the better deal?
Answers
Answer:
Katie Price broke the law by travelling with her seven-year-old son Jett on her lap on a 60mph road.
Step-by-step explanation:
MailOnline has published pictures of Katie holding onto Jett in the front passengers’ seat.
A painter will paint n walls with the same size andshape in a building using a specific brand of paint.The painter’s fee can be calculated by the expressionnKlh, where n is the number of walls, K is aconstant with units of dollars per square foot, l isthe length of each wall in feet, and h is the height ofeach wall in feet. If the customer asks the painter touse a more expensive brand of paint, which of thefactors in the expression would change?A) hB) lC) KD) n
Answers
K is the only factor that will change if the customer asks for a more expensive brand of paint.
The correct option is C.
What is geometrical figure?
The figures used to represent geometric shapes in mathematics are those that show how commonplace items are shaped. Shapes are the outlines of objects in geometry that have surfaces, angles, and boundary lines.
According to the given information:
n = number of walls
K = units of $/ft²
L = length of each wall in feet
h = height of each wall in feet
This equation shows that A and h will be used to determine the area of each wall.
The variable n is the number of walls,
n times the area of the walls will give the amount of area that will need to be painted.
The only remaining variable is K.
This represents the cost per square foot and is determined by the painter’s time and the price of paint.
K is the only factor that will change if the customer asks for a more expensive brand of paint
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Betty is given 40 Popsicle sticks to build a fence for her toy house. What is the maximum area she can fence in? What are the length and width in Popsicle sticks?
Answers
The length and width for a maximum area is 10 popsicle by 10 popsicle.
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Let x represent the length to Craig's house and y represent the width. Hence:
2(x + y) = 40
x + y = 20
y = 20 - x (1)
Area (A) = xy = x(20 - x)
A = 20x - x²
The maximum area is at A' = 0, hence:
A' = 20 - 2x
20 - 2x = 0
x = 10
y = 20 - (10) = 10
The length and width for a maximum area is 10 popsicle by 10 popsicle.
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which of the following is a source of initial funding
Answers
Some sources of initial funding when starting business are:
Personal savings. Bank loans.
What are sources of initial funding?
These are those sources that provide funds for a business to start-up at initial stages.
They include bank loans as banks are able to loan you money to start a business if they see you have a good business plan. Then there are personal savings that you can accumulate to invest in your business.
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Where does the author indicate the medieval
volcanic eruption most probably was located?
A) Near the equator, in Indonesia
B) In the Arctic region
C) In the Antarctic region
D) Near the equator, in Ecuador
Answers
Located in Indonesia, was most likely the medieval volcanic eruption (lines 33-35). The eruption likely occurred near the equator because an equatorial location is “consistent with the apparent climate impacts” the sci- entists observed (lines 61-67).
What right have I written on prudence SAT?
After asserting that he has the right to write on prudence, Emerson says, "We write from aspiration as well as from experience" (lines 11–12). The ability to write about cautious behavior comes from our awareness of it as well as our focused desire, so to speak.
Where does the author indicate the medieval volcanic eruption most probably was located?
Scientists claim that the Indonesian volcano Samalas most likely reflected the medieval volcanic outburst (lines 33-35).
What location does the author suggest the Neolithic volcanic outburst most likely occurred?
According to the text, the mural was discovered at the Neolithic atalhöyük site in Central Anatolia, Turkey, and purports to depict an eruption of the Hasan Da twin-peaks volcano, which is situated about 130 kilometers to the northeast of atalhöyük.
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Factorize: 2ab +3a+2b²+3b
Answers
Answer: [tex]\Large\boxed{(a+b)(2a+3)}[/tex]
Step-by-step explanation:
Given expression
[tex]2ab+3a+2b^2+3b[/tex]
Factorize each term
[tex]=2\times a \times b+3\times a+2\times b \times b+3\times b[/tex]
Factorize [ a ] out of the expression
[tex]=a(2b+3)+2\times b \times b+3\times b[/tex]
Factorize [ b ] out of the expression
[tex]=a(2b+3)+b(2b+3)[/tex]
Combine the parts by reverse distributive property
[tex]=\Large\boxed{(a+b)(2a+3)}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
List and briefly describe the steps of the scientific method
Answers
Here’s a photo of what my bio teacher said for the Scientific method
Answer:
The steps of the scientific method are: Ask a question, carry out a thorough investigation, build a hypothesis, test the hypothesis through experimentation, analyze the results, and make a report of the results.
The scientific method is a scientific term to refer to a methodology to develop new knowledge based on observation, measurement, experimentation, formulation, analysis, and modification of hypotheses. The scientific method has the following steps:
1) Ask a question: The beginning of the scientific method is to pose a question to guide the path to be taken in the scientific research process. It is advisable to start with words like:
How, what, when, who, what, why, or where.
2) Investigate the topic: In this step, the researcher must deepen their knowledge of the topic that they chose to relate as much as possible to the topic and begin to interpret and analyze the information they have collected.
3) Posing a hypothesis: In this step, the researcher must propose a possible answer to his question, which is what we know as a hypothesis.
4) Check the validity of his hypothesis through an experiment: In this step, the researcher must put his hypothesis into experimentation and take careful note of the results he obtains because this process helps him understand what he has observed.
5) Analyze the data and draw a conclusion: In this step, the researcher must describe and explain the results obtained in his experiment.
6) Share the results: In this step, the researcher must share their results to mark a precedent in the topic they have studied and leave a record of what they learned during their experiment.
Step-by-step explanation:
A 2-column table with 3 rows. Column 1 is labeled Celsius with entries 1, 2, 6. Column 2 is labeled Fahrenheit with entries 1.8, 3.6, question mark.
A change in temperature of 6°C is equivalent to a change in temperature of
°F.
Answers
The change in temperature of 6°C is equivalent to a change in temperature 14.4°F.
What is the equivalent to a change in temperature?
Looking at the table, we can see that there is the change in the Celsius temperature as well s a change in the Fahrenheit temperature. The table shows the dynamics of these changes as we can see.
No, it can be seen that a one point change in the Celsius temperature caused a doubling of the Fahrenheit temperature. Hence, the change in temperature of 6°C is equivalent to a change in temperature 14.4°F.
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Answer:3
Step-by-step explanation:
beaciuse
Use the spinner to find the P(Prime number, 4)
Answers
1, 2, 3, 5, 7 are prime 5/8
Chance of a 4 is 1/8
5/8 * 1/8 = 5/64
HELP FOR 50 POINTS AND BRAINLIEST ANSWER! I will report if you use for points only. Starting from each given statement below, select the definition, property, postulate, or theorem that justifies
each prove statement. Refer to the diagram at right for each of Problems 18-20.
Answers
Question 18: D
CM splits AD into two congruent segments: AM and DM.
Question 19: B
[tex]\angle ABM[/tex] and [tex]\angle DCM[/tex] are alternate interior angles.
Question 20: E
The base angles theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are also congruent.
▸
People attending a basketball game either supported the home team or the visiting
team. If 2940 of the people attending supported the home team and 560 supported
the visiting team, what percentage supported the home team?
Answers
Answer:
84%
Step-by-step explanation:
2940+560=3,500
[tex]\frac{2940*100}{3500} =[/tex][tex]\frac{84}{100}[/tex]
=84%
Please help with this linear algebra question.
Answers
Answer:
Hello,
Step-by-step explanation:
[tex]\overrightarrow{x}=\overrightarrow{-c}+\overrightarrow{a}+\overrightarrow{b}\\\\=-\overrightarrow{c}+\overrightarrow{a}+\overrightarrow{b}[/tex]
The endpoints of RS are R(-2,-1) and S(2,3). Find the coordinates of the midpoint of RS. Then find the distance between R and S
Answers
Answer:
the midpoint between (-2,-1) and (2,3) is (0,1)
so your answer is (0,1)
Do the data in the table provide support for the
authors’ claim that infection with varroa mites
increases a honeybee’s susceptibility to secondary
infections?
A) Yes, because the data provide evidence that
infection with a pathogen caused the colonies to
undergo colony collapse disorder.
B) Yes, because for each pathogen, the percent of
colonies infected is greater for colonies with
colony collapse disorder than for colonies
without colony collapse disorder.
C) No, because the data do not provide evidence
about bacteria as a cause of colony collapse
disorder.
D) No, because the data do not indicate whether the
honeybees had been infected with mites.
Answers
The correct option is D) No, because the data do not indicate whether the honeybees had been infected with mites.
The table data do not support that infection with varroa mites increases a honeybee’s susceptibility to secondary infections because the data do not indicate whether the honeybees had been infected with mites.
What does colony collapse disorder do to bees?
The adult bees' ability to navigate appears to be affected by the colony collapse disorder. In search of pollen, they depart the hive and never come back. The hive typically contains honey and pollen, as well as signs of recent brood raising. The queen and a few other surviving bees may occasionally stay in the brood nest.
The table only includes information on honeybee colonies that have or have not experienced colony collapse disorder and are afflicted with the four diseases. They are not mentioned in relation to their varroa mite illness. As a result, the table cannot be used to infer the effects of varroa mite infestation.
Therefore, D is the right response.
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