First one is a rotation 90° clockwise
Second one is B. 134°
Answer:
A 90° clockwise
B 134°
Aqueous hydrochloric acid (HCl) will react with solid sodium hydroxide (NaOH) to produce aqueous sodum chloride (NaCl) and liquid water ( H2O). Suppose 31.0 g of hydrochloric acid is mixed with 47.9 of sodium hydroxide. Calculate the minimum mess of hydrochioric acid that could be left over by the chemical reaction. Round your answer to 2 significant digits.
The given balanced chemical equation for the reaction is: `HCl + NaOH → NaCl + H2O`The molar mass of NaOH is 40 g/mol and the molar mass of HCl is 36.5 g/mol.
The balanced chemical equation shows that 1 mole of HCl reacts with 1 mole of NaOH. This means that to completely react with 1 mole of NaOH, 1 mole of HCl is needed.According to the question, 31.0 g of HCl and 47.9 g of NaOH are mixed. To find out the minimum mass of HCl left over, we need to first find out which of the reactants is limiting. To do this, we will have to calculate the number of moles of each reactant and compare their mole ratios.`Number of moles of HCl = mass / molar mass`= 31.0 / 36.5 = 0.849 moles.
From the balanced chemical equation, 1 mole of HCl reacts with 1 mole of NaOH. This means that 0.849 moles of HCl reacts with 0.849 moles of NaOH. But we have 1.20 moles of NaOH which is more than the required amount. This means that NaOH is the limiting reactant and all the HCl will react with NaOH leaving some NaOH unreacted.Now, we need to find out the amount of NaOH that reacted. This can be done by multiplying the number of moles of NaOH that reacted with its molar mass.`Mass of NaOH that reacted = number of moles of NaOH × molar mass of NaOH`= 0.849 × 40 = 33.96 g
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An expression is shown below:
4m3 + 12xm2 − 8m2 − 24xm
Rewrite the expression by factoring out the greatest common factor. (5 points)
Answer:
Step-by-step explanation:
4m³ + 12xm² - 8m² - 24xm = (4m³ - 8m²) + (12xm² - 24xm) {Group terms}
=4m²(m - 2) + 12xm(m - 2) {Factor terms}
= (m - 2)(4m² + 12xm)
=(m -2) 4m(m + 3x).
Answer:
4m(m+3x)(m-2)
Step-by-step explanation:
4m^3 + 12xm^2 - 8m^2 - 24xm
= 4m(m^2 + 3xm - 2m - 6x)
= 4m(m(m+3x) - 2(m+3x))
= 4m(m+3x)(m-2)
Which situation can be modeled by the inequality 5 + 10w ≥ 45?
Answer:
w greater or equal 4
Step-by-step explanation:
Subtract 5 on both sides. 10w greater or equal to 40. So yeah.
Answer:
a.You start with $5 and save $10 a week until you have at least $45
Step-by-step explanation:
what is the relationship between the values of the two 4s in the weight of the potatoes?
The relationship between the values of the two 4s in the weight of the potatoes is that the first number is 10 times the second 4.
How to illustrate the information?In this case, the weight of a potato is given as 3.441g.
It should be noted that the first 4 is in the tenth place and is written as 0.4.
On the other hand, the second 4 is in the hundredth place. The value is 0.04.
Therefore, the relationship between the numbers will be:
= 1/10 × 1/10 = 1/100
Therefore, the relationship between the values of the two 4s in the weight of the potatoes is that the first number is 10 times the second 4.
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The weight of a potato is given as 3.441g. Ehat is the relationship between the values of the two 4s in the weight of the potatoes?
During a 14-day period, there is the following activity on your bank account. You deposit $100, withdraw $75, deposit $85, and withdraw $150. What is the rate of change in dollars per day) in your bank account? Round your answer to the nearest cent.
someone help me please
Answer:
8
Step-by-step explanation:
Basically insert 18 where the X is and go from there!
2/3 (18) - 4
2/3 × 18 = 12
12 - 4 = 8
The wire supporting a 20-foot tall phone pole is attached to the top of the pole, and to the
ground 12 feet from the pole. How long is the wire?
Answer:
22.36 feet
Step-by-step explanation:
This situation forms a right triangle, where the wire is the hypotenuse
Use the pythagorean theorem to find the hypotenuse/wire length:
a² + b² = c²
20² + 12² = c²
400 + 144 = c²
544 = c²
22.36 = c
So, the wire is 22.36 feet long
what is the value of y in the system of equations 6x-y=2 and 4x-y=-8
Answer:
y=28
Step-by-step explanation:
6x-y=2
-y=2-6x
y=6x-2
4x-(6x-2)=-8
4x-6x+2=-8
-2x=-10
x=5
y=6*5-2=30-2=28
y=28
During a school fundraiser, Dominic sold boxes of greeting cards for $7 each and earned a total of $364. Which equation could be used to find the number of boxes n Dominic sold?
By using simple multiplication, Dominic sold 52 boxes of greeting cards during the fundraiser.
What is multiplication?
Multiplication is an arithmetic operation that combines two or more numbers to find their product or the total number of objects in equal-sized groups. In multiplication, the numbers being multiplied are called factors, and the result is called the product.
The equation that could be used to find the number of boxes n Dominic sold is:
7n = 364
Where n represents the number of boxes Dominic sold and 7 is the price of each box.
To solve for n, we can divide both sides of the equation by 7:
n = 52
Therefore, Dominic sold 52 boxes of greeting cards during the fundraiser.
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Answer: n x 7=364
Step-by-step explanation: 7n = 364
Good luck with the Go Math Comulative Assessment Chapters 7-10 Room 240 ;)
Using the quadratic formula to solve 2x- = 4x - 7, what are the values of x?
• 2+ /10
•
1+ /10
2‡ V10
2
1 5
Therefore, The values of x are 1/2 + i√6/2 and 1/2 - i√6/2.
To use the quadratic formula, we need to rearrange the equation into the standard form: 2x^2 - 4x + 7 = 0. Then, using the formula x = (-b ± √(b^2 - 4ac)) / 2a, we plug in a=2, b=-4, and c=7 to get:
x = (4 ± √(-24)) / 4
Since the square root of a negative number is not a real number, the solutions are complex. We can simplify by factoring out the 2 from the numerator:
x = 2(1 ± i√6) / 4
Simplifying further by canceling the 2s, we get:
x = 1 ± i√6 / 2
Therefore, The values of x are 1/2 + i√6/2 and 1/2 - i√6/2.
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what other information is needed to prove the two triangles congruent by sas?
Answer:
We know that one pair of sides and one pair of angles are congruent from the diagram. In order to know that the triangles are congruent by SAS we need to know that the pair of sides on the other side of the angle are congruent.
Step-by-step explanation:
HOPE IT HELPS :)
If we randomly select a U.S. female, is (pregnant and over 55) = (0.06)(0.27) = 0.0162? Why or why not?
No, because being older than 55 and being pregnant are not independent events.
If we randomly select a U.S. female, is (pregnant and over 55) = (0.06)(0.27) = 0.0162 because being older than 55 and being pregnant are not independent events.
A random number is one that is selected by chance, or randomly, from a set of numbers, as the name suggests. There is an equal chance that any one of the numbers in a given distribution will be chosen at random.
The concepts of randomness are formally defined in the fields of mathematics, probability, and statistics. A random variable in statistics is the process of assigning a numerical value to each potential result of an event space. The identification of the events and the estimation of their probabilities are made easier by this association.
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Help me pleaseeeeee I need help
14. The table shows the survey results of exercises
people do regularly.
Which is true based on the table?
Answer:
Answers in the question are A, B, and E.
The answers to the table are:
yes no total
yes: 12 25 37
no: 12 6 18
total: 24 31 55
Hopefully this helped, sorry if I was too late :)
One quarter of this pie chart is blue.
15% is orange.
Yellow
Grey
Blue
are some number cards.
Orange
What percentage is blue or orange?
The other two sections are equal in size.
What percentage of the whole chart is yellow?
I
As per the given equation, the percentage of the whole chart that is yellow is 15%.
How to find the percentage of whole chart yellowed?One quarter of the pie chart is blue, which is 25%.
15% of the pie chart is orange.
When we add the percentages of blue and orange sections, we get 25% + 15% = 40%. So, 40% of the pie chart is blue or orange.
As the other two sections, Yellow and Grey, are equal in size, we can assume that they make up half of the remaining 60% of the pie chart. So each of the Yellow and Grey sections make up 30%/2 = 15% of the pie chart.
Therefore, the percentage of the whole chart that is yellow is 15%.
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what is $20.00 take away $4.60
b. Lauren bought a new package of notebook
paper containing 300 sheets. She used
27 sheets in a science notebook. What
percent of the paper did she have left?
272
Answer:
91%Step-by-step explanation:
300 × x/100 = 27=> 3 × x = 27=> x = 27/3=> x = 9This means that 9% of the notebook is used in science.
100% - 9% = Percentage of paper left in notebook.=> 91% = Percentage of paper left in notebook.This means that 91% of the notebook pages is remaining.
Use interval notation to represent all values of x satisfying the given conditions. y=6−2(2−x) and y is at most 18
(−[infinity],8)
(−[infinity],8]
(−[infinity],9]
[8,[infinity])
The interval notation represents all values of x satisfying the conditions y = 6 - 2(2 - x) and y ≤ 18 is [8, ∞). The interval notation representing these values is [8, ∞).
To find the values of x satisfying the conditions, we first need to solve the inequality y ≤ 18.
Substituting the given expression for y into the inequality, we have 6 - 2(2 - x) ≤ 18.
Simplifying the expression, we get 6 - 4 + 2x ≤ 18.
Combining like terms, we have 2x + 2 ≤ 18.
Subtracting 2 from both sides, we get 2x ≤ 16.
Dividing both sides by 2, we have x ≤ 8.
Therefore, any value of x that is less than or equal to 8 satisfies the inequality y ≤ 18.
Now, let's consider the given equation y = 6 - 2(2 - x).
Simplifying the expression, we have y = 6 - 4 + 2x, which further simplifies to y = 2 + 2x.
This equation does not impose any additional restrictions on the values of x.
Putting both conditions together, we conclude that all values of x that are less than or equal to 8, including 8 itself, satisfy the given conditions.
Therefore, the interval notation representing these values is [8, ∞).
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Simplify the following rational expression. State any restrictions on the variable.
m2 + m -12/m2 - 16
A. m + 34; m ≠ 4, m ≠-4
B. m - 3m - 4; m ≠ 4, m ≠-4
C. m + 3m + 4; m ≠ 4, m≠-4
D. m + 3m - 4; m ≠-3, m ≠ 4
The restriction on the variable is that m ≠ -3, m ≠ 4.
What is expression?In mathematics, an expression is a combination of numbers, symbols and operations such as addition, subtraction, multiplication and division that may be evaluated to produce a single number, a variable or a set of numbers. Expressions can be complex, and often appear in the form of equations or formulas. Examples of expressions include equations, polynomials, functions, matrices and more.
To simplify the rational expression m2 + m -12/m2 - 16, we need to factor the numerator and the denominator. The numerator can be factored as (m + 4)(m - 3). The denominator can be factored as (m + 4)(m - 4). We can then cancel out the common factors and obtain m + 3m - 4 as the simplified expression. The restriction on the variable is that m ≠ -3, m ≠ 4.
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NEED HELP
5. Find the value of the variables of t and s
In given triangle, the value of t is 3.75 and the value of s is 10.4.
What are the 3 sides of a triangle?In a right triangle, the hypotenuse is the longest side, a "opposite" side is the one across from a given angle, and a "adjacent" side is close to a given angle. We use unique terminology to describe the sides of right triangles.
We can set up the following ratios because the two triangles in the illustration are comparable to one another:
t / 5 = 6 / 8 (using the smaller triangle)
s / 13 = 8 / 10 (using the larger triangle)
Simplifying these ratios, we get:
t / 5 = 3 / 4
s / 13 = 4 / 5
We may cross-multiply and simplify to find t and s:
t = 5(3/4) = 15/4 = 3.75
s = 13(4/5) = 10.4
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"Thunder Dan," (as the focats call him, decides if the wants to expand, he wit need more space. He decides to expand the size of the cirrent warehouse. This expansion will cost him about $400.000 to conatruct a new side to the bulding. Using the additionat space wisely, Oan estimntes that he will be able to ponerate about $70,000 more in sales per year, whlle incuiting $41,500 in labce and variable cests of gooss Colculate the amount of the Net Capital Expenditure (NCS) an the profect below. Muluple Chose −$2.200000 +230.000 −5370,000 −5400000 -5271,500 −$70,000
The Net Capital Expenditure (NCS) for the project is -$428,500.
The Net Capital Expenditure (NCS) for the project can be calculated as follows:
NCS = Initial Cost of Expansion - Increase in Annual Sales + Increase in Annual Expenses
NCS = -$400,000 - $70,000 + $41,500
NCS = -$428,500
Therefore, the Net Capital Expenditure (NCS) for the project is approximately -$428,500.
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CONSIDERANDO QUE A U B= { 1,2,3,4,5,6,7,8}, A U B = {4,5} e A-B = { 1,2,3}, DETERMINE O CONJUNTO B
Answer:
O conjunto B é dado por: B = {4, 5, 6, 7, 8}
Step-by-step explanation:
A U B= { 1,2,3,4,5,6,7,8}
Todos os elementos pertencem a pelo menos um desses conjuntos.
A intersecção B = {4,5}
Os elementos 4 e 5 pertencem a pelo menos um desses conjuntos. Então, tem-se os dois primeiros elementos de B, que são 4 e 5.
A-B = { 1,2,3}
1, 2, 3 são os elementos que pertencem ao conjunto A e não pertencem ao conjunto B.
Como A U B= { 1,2,3,4,5,6,7,8}, tem-se que os elementos 4, 5, 6, 7 e 8 pertencem ao conjunto B.
O conjunto B é dado por: B = {4, 5, 6, 7, 8}
Graph the system of inequalities.
U. y ≤ 4x
y+3x < 7
The line y ≤ 4x will be a solid line and shaded below the graph while the line y < -3x + 7 will be a dashed line and also shaded below the graph.
Graphing linear inequalitiesInequalities are expressions that are not separated by an equal sign. Given the following system of equations;
y ≤ 4x
y+3x < 7
The inequalities can also be written as;
y ≤ 4x
y < -3x + 7
From the linear inequalities, the slopes of the lines are 4 and -3 respectively. The line y ≤ 4x will be a solid line and shaded below the graph while the line y < -3x + 7 will be a dashed line and also shaded below the graph.
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at school, 460 of the students walk to school.
The number of students who bike to school is 5% of the number of students who walk. How many students bike to school?
Answer:
460/100 X 5 = 23
23 bike to school xx
Informal settlers who live nearby coastal areas and river side throw away about 4 million disposable diapers per year. how many diapers are thrown away each month??.
need help ༼ つ ◕_◕ ༽つ
Answer:
333,333 Three hundred and thirty-three thousand , three hundred and thirty-three
Step-by-step explanation:
4000000/12
Find the component form of the vector that translates A(-4,8) to A'(7,-9)
The component form of the vector that translates A to A' is (11, -17)
A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
In translation, the shape of the figure does not change but its size may change.
Other transformation processes are reflection and rotation.
The component form of the vector is governed by the rule; A' - A
so we subtract corresponding x- coordinates and corresponding y- coordinates
A' - A = (7, -9) - (-4, 8)
= ( 7 - - 4, -9 - 8)
-= ( 11, -17)
In conclusion, the vector that translates A to A' is ( 11, -17 )
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Determine which integer will make the inequality 4x + 6 < 2x + 12 false. S:{1} S:{−1} S:{4} S:{−4}
Answer:4
Step-by-step explanation:4x+6<2x+12
4x-2x+6<12
2x+6<12
2x<12-6
2x<6
2x/2<6/2
x<3
Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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which of the following represents linear growth? check all of the boxes that apply
martins savings account increases because he deposits $25 each week
calis pay increases by 3% per year
each week, an athlete getting into shape loses 2 pounds
mei-lin earns $9 an hour at her job
Answer:
Martin is the answer
Step-by-step explanation:
Incorrect - Martin is putting in $25 a week which means each week his bank is growing by exactly $25
Correct - Cali's pay is exponential since it is increasing each year by a percentage, so not a steady rate.
Incorrect - The athlete's weight is decreasing, so the opposite of growth.
Incorrect - And mei-lin can change how many hours she works so she will get a different amount for the time she works each day.
Hopefully, this helped, have a great day!
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Leslie bought 6.74 kilograms of apples and 5.2 kilograms of oranges. How much fruit did she buy in all?
Answer:
11.94
Step-by-step explanation:
In this problem you just need to add 6.74 with 5.2.
6.74 + 5.2 = 11.94