The correct answer is (a) 34, as the element with the next higher z and similar chemical properties to selenium would be polonium (z = 84).
The periodic table of elements is arranged in order of increasing atomic number (z), and elements in the same group have similar chemical properties. Therefore, to determine the atom with the next higher z and having similar chemical properties, we need to identify the group of the given element.
Option (a) 34 is the atomic number of selenium, which is in group 16 of the periodic table. Elements in group 16 are known as the chalcogens and have similar chemical properties, such as forming compounds with oxygen and having multiple oxidation states. The element with the next higher z and similar chemical properties to selenium would be the next element in group 16, which is polonium (z = 84).
Option (b) 13 is the atomic number of aluminum, which is in group 13 of the periodic table. Elements in group 13 are known as the boron group and have similar chemical properties, such as forming compounds with oxygen and having low electronegativity. The element with the next higher z and similar chemical properties to aluminum would be the next element in group 13, which is gallium (z = 31).
Option (c) 9 is the atomic number of fluorine, which is in group 17 of the periodic table. Elements in group 17 are known as the halogens and have similar chemical properties, such as forming ionic compounds with metals and having high electronegativity. The element with the next higher z and similar chemical properties to fluorine would be the next element in group 17, which is chlorine (z = 17).
Option (d) 14 is the atomic number of silicon, which is in group 14 of the periodic table. Elements in group 14 are known as the carbon group and have similar chemical properties, such as forming compounds with oxygen and having multiple oxidation states. The element with the next higher z and similar chemical properties to silicon would be the next element in group 14, which is germanium (z = 32).
Therefore, the correct answer is (a) 34, as the element with the next higher z and similar chemical properties to selenium would be polonium (z = 84).
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Information from the records of conundrum company for september was as follows: sales $307,500 selling and administrative expenses 52,500 direct materials used 66,000 direct labor 75,000 variable factory overhead 50,000 factory overhead 51,250 inventories sept. 1 sept 30 direct materials $ 8,000 $10,500 work in process 18,750 21,000 finished goods 17,250 14,250 conundrum company produced 20,000 units. the prime costs per unit (rounded to the nearest cent) for september were
The prime costs per unit (rounded to the nearest cent) for September were $7.05 per unit.
What is the total cost?In economics, total cost is the sum of all costs a company incurs in generating a certain output level.
It is typically expressed as the sum of all fixed costs (for example, the costs of a building lease and heavy machinery) that do not vary with the amount of output produced and all variable costs (the costs of labour & of raw materials).The concept of total cost is used to describe average cost (the total cost divided by the amount of units produced) and marginal cost (the marginal cost of a provided unit of output is the increase in total cost required to produce that unit).Now, as per the question;
Prime cost = (cost of direct material + cost of direct labour)/number of units.
Cost of direct materials used = $66,000
Cost of direct labour = $75,000
Number of units = 20,000
Substituting the values;
= ($66,000 + $75,000) / 20,000 units
= $141,000 / 20,000 units
= $7.05 per unit
Thus, the prime cost per unit in September is found to be $7.05 per unit.
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The area of a rectangular room is given by the trinomial a^2 - 4a - 21. the length of the rectangle is a+3. what is the expression for the width of the room
The expression for the width of the rectangular room is (a² - 4a - 21)/(a+3) hence by performing polynomial division, we find that the width of the room is given by the expression: Width = a - 7
To find the expression for the width of the rectangular room, we need to use the formula for the area of a rectangle which is length multiplied by width. In this case, we are given that the area of the room is a² - 4a - 21 and the length is a+3. So, we can set up the equation:
a² - 4a - 21 = (a+3) * w
where w represents the width of the room. To solve for w, we need to simplify the equation by expanding the right-hand side:
a^2 - 4a - 21 = aw + 3w
Next, we can rearrange the terms to get w by itself:
w(a+3) = a² - 4a - 21
w = (a^2 - 4a - 21)/(a+3)
Therefore, the expression for the width of the rectangular room is (a² - 4a - 21)/(a+3).
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A car, initially at rest, travels 20 m in 4 s along a straight line with constant acceleration. The acceleration of the car is: 1. 0.4 m/s 2 2. 9.8 m/s 2 3. 4.9 m/s 2 4. 1.3 m/s 2 5. 2.5 m/s 2
Answer:
2.5m/s²Step-by-step explanation:
Using the equation of motion S = ut + 1/2at² where;
S is the distance travelled = 20m
u is the initial velocity = 0m/s (car starts from rest)
a is the acceleration = ?
t is the time taken = 4s
To get the acceleration of the car, we will substitute the given parameters into the given equation.
S = ut + 1/2at²
20 = 0(4)+1/2a(4)²
20 = 0+ a/2*16
20 = 8a
divide both sides by 8
20/8 = 8a/8
20/8 = a
a = 20/8
a = 2.5m/s²
Hence the acceleration of the car is 2.5m/s²
Which of the following graphs is a function?
Answer:
b and a
Step-by-step explanation:
i would go with b
I've tried for over 3 hours trying to figure this out. help please
We have a table with inputs/outputs values of a sequence, so we need to find the formula of the sequence.
We can see that the following expression match the values in the table:
\(\begin{gathered} \text{Input = n} \\ \text{Output}=n\cdot(n+1) \end{gathered}\)If input = -5 the output is:
\(\begin{gathered} \text{Input}=-5 \\ \text{Output}=(-5)\cdot(-5+1)=(-5)\cdot(-4)=20 \end{gathered}\)The output = 20.
The rule in words is: The output is equal to input multiply the input plus one.
The rule in symbols if input is n:
\(\text{Output}=n\cdot(n+1)\)
Solve the equation below for q.
V=1/4xq
Answer:
q=4v/x
Step-by-step explanation:
hiii please help i’ll give brainliest if you give a correct answer tysm!
Answer:
20
Step-by-step explanation:
The no. of people will be 2/3 of the pounds of turkey.
2/3 of 30 is 20.
Hope this helps!
Angle
x
= 076° and angle
y
= 111°.
Find the bearing of point A from point O.
The bearing of point A from point O is 256°.
What are bearings?In mathematics, a bearing is the angle in degrees measured clockwise from north. Bearings are usually given as a three-figure bearing. For example, 30° clockwise from north is usually written as 030°.
Given that, angle x= 076° and angle y = 111°.
Now, the bearing of point A from point O is
180°+ 076°
= 256°
Therefore, the bearing of point A from point O is 256°.
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Which graph displays a rate of change of 2.5?
On a coordinate plane, a line with negative slope goes through points (negative 2, 0) and (negative 1, negative 2).
On a coordinate plane, a line with negative slope goes through points (0, negative 3) and (2, 2).
On a coordinate plane, a line with positive slope goes through points (0, 1) and (2, 2).
Answer:
in edg is B
Step-by-step explanation:
Answer:
It's B
Step-by-step explanation:
Weighing the alternatives [Marks 2]
When weighing the various alternatives, how well each alternative fulfills the variables to consider can be expressed as scores. A different rating scale will be used to assess each alternative:
+2 very suitable
+1 quite suitable
0 neither suitable nor unsuitable
-1 not quite suitable
-2 not suitable at all
Note: Positive numbers (+2 or +1) indicate that the alternative is able to fulfill the variables, whereas negative numbers (-2 or -1) denote the opposite.
When weighing the alternatives, the suitability of each alternative can be expressed using a scoring system. The scoring system assigns scores to each alternative based on how well they fulfill the variables to consider.
The following rating scale is used:
+2: Very suitable
+1: Quite suitable
0: Neither suitable nor unsuitable
-1: Not quite suitable
-2: Not suitable at all
These scores reflect the extent to which each alternative meets the criteria or variables being evaluated. A higher positive score (+2 or +1) indicates that the alternative is highly suitable and fulfills the variables well. A score of 0 suggests that the alternative does not strongly align with the variables, neither positively nor negatively. Negative scores (-1 or -2) indicate that the alternative is not suitable and fails to fulfill the variables effectively.
By assigning scores to each alternative, decision-makers can compare and evaluate the different options based on their suitability and alignment with the desired criteria. This helps in making informed decisions and selecting the most appropriate alternative that best meets the desired objectives or requirements.
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6. Janet makes scarves to sell at the craft fair. Each scarf requires 2.5 yards of yarn. A. At the fabric store, yarn is sold by the foot. If Janet wants to make 84 scarves, how many feet of yarn must she buy?
Answer:
610 feet
Step-by-step explanation:
From the question :
1 scarf = 2.5 yards of yarn
84 scarves = x yards
Cross Multiply
1 scarf × x yards = 84 × 2.5 yards
x yards = 210 yards
Hence, 84 scarves require 210 yards
Converting yards to feet
1 yard = 3 feet
210 yards = x feet
x feet × 1 yard = 210 yards × 3 feet
x feet = 210 yards × 3 feet/1 yards
x feet = 610 feet
Hence, if Janet wants to make 84 scarves, she need to buy 610 feet of yarn
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = -x + 2
Step-by-step explanation:
[slope-intercept form] y = mx + b
m [slope] = ∆y/∆x = y₂–y₁ / x₂–x₁
b [y-intercept] = (0,b) → x = 0.
If y = 2 when x = 0, b = 2.
Since y decreases by 1 unit everytime x increases by 1 unit
a decrease by 1 unit is represented by -1, and an increase of 1 is represented by 1.
So a decrease of -1 over an increase of 1
is -1/1 = -1 = m.
Help I will be marking brainliest!!!
A. 45
B. 43
C. 36
D. 90
Show work, or explain you answer if possible. Thanks❤️
A. 45
B. 43
C. 36D. 90
#CarryOnLearning.
for every one rotation a small gear takes, the larger gear makes 1/6 of a rotation. If the gear makes 10 complete rotations, how many rotations will the larger gear have made
Answer:
Step-by-step explanation:
1 and 2/3 rotations. The little gear full rotation is equal to 1/6 of the big gears rotation. So if the big gear rotates once then its equal to 6 of the small rotations the extra 4 of the 10 rotations then becomes 4/6 of the big gears rotation or if simplified further, 2/3. This is my way of solving these questions
What is the length of the unknown leg of
the right triangle rounded to the nearest
tenth of a meter?
11 m
?
42.8 m
Answer:
The length of the unknown leg is 5.66 yards
Step-by-step explanation:
\(Hypotenuse^2=opposite^2-adjacent^2\)
\(Hyp^2=opp^2+adj^2\)
\(Hyp=\sqrt{42.8}\) \(yards\)
\(Opp=\sqrt{11}\) \(yards\)
\(Adj=?\)
\(Adj^2=Hyp^2-opp^2\)
\(=(\sqrt{42.8} )^2-(\sqrt{11} )^2\)
\(=42.8-11\)
\(=31.8\) → \(32\)
\(Adj^2=32\)
\(Adj=\sqrt{32}\)
= 5.66 yards
The arithmetic mean of 12 scores is 82. When the highest and lowest scores are removed, the new mean becomes 84. If the highest of the 12 scores is 98, what is the lowest score?
Answer:
46
Step-by-step explanation:
82 times 12=984(sum of total scores)
10 times 84=840(sum of scores with 2 removed)
984-840-98=46(ouch)
Compare the two ratios by entering >, <, or = in the box. 1:8 3:4
\( \frac{1}{8} < \frac{3}{4} \)
Write an inequality and use substitution to solve the following problem:
Janet plans on mowing lawns for 12 weeks in the summer. Her goal for the summer is to earn more than $500. Which of the following rates of weekly earning would allow her to reach her goal?
The rates of weekly earning would allow her to reach her goal will be 12x > 500.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Janet anticipates cutting yards for quite a long time in the late spring. Her objective for the late spring is to acquire more than $500.
Let 'x' be the weekly rate. Then the inequality is written as,
12x > 500
The rates of weekly earning would allow her to reach her goal will be 12x > 500.
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Find the value of k in the data set so that f(x) is a linear function.
x = {-7, -2, 2, 5}
f(x) = {-15, k, 3, 9}
In order for f(x) to be a linear function, determine the value of k in the data set.
x = {-7, -2, 2, 5}
f(x) = {-15, k, 3, 9}
The value of k is {-5}.
Given that to find the value of k in the data set such that the data set represents a linear function.
Linear Function is a straight line on the coordinate plane is represented by a linear function. The formula for a linear function is f(x) = mx + b, where m and b are real values.
Here, f(x) or y is the dependent variable, m is a slope of the line, x is the independent variable and b is the y-intercept.
Here,(x,f(x)) are {(-7,-15),(-2,k),(2,3),(5,9)}
The slope of the function,
(x, f(x)) = (2,3) and (5,9)
Slope formula is m=\(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\).
Slope m= \(\frac{9-3 }{5-2}\)
Slope m=\(\frac{6}{3}\)
Slope m=2.
Using the point slope form, determine the linear function's equation.
\(y-y_{1} =m(x-x_{1})\)
Here, \((x_{1},y_{1})=(-7,-15)\) and m=2
We get
y + 15 = 2 (x + 7)
y = 2x - 1
Now at x = -2 and f(x) = k
k = 2(-2) - 1
k = -4-1
k=-5
Therefore, the value of k is -5.
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The ratio of a to b is 4/7. If a is 16, find the value of b.
Answer:
B=28
Step-by-step explanation:
Consider the rectangular prism.What is the surface area of the rectangular prism?
124 in
208 in
240 in
248 in
Answer: 240 in 2
Step-by-step explanation:
just did it
Let 0 be an acute angle of a right triangle. Evaluate the other five trigonometric functions of 0.
Answer:
sin θ = (√119)/12
tan θ = (√119)/5
csc θ = 12/(√119)
cot θ = 5/(√119)
Five trigonometric functions of θ are
sinθ = \(\frac{\sqrt{119} }{12}\)cosθ = \(\frac{5}{12}\)tanθ = \(\frac{\sqrt{119} }{5}\)cosecθ = \(\frac{12}{\sqrt{119} }\)secθ = \(\frac{12}{5}\)cotθ = \(\frac{5}{\sqrt{119} }\)
What is trigonometric functions?"The trigonometric functions of θ are functions of an angle. sine, cosine, and tangent are familiar trigonometric functions. The trigonometric functions relates the angles of a triangle to the length of its side."
Let θ be an acute angle of a right angle triangle
What is acute angle?"An acute angle ("acute" meaning "small") is an angle smaller than a right angle. The range of an acute angle is between 0 and 90 degrees."
What is right angled triangle?"A right angled triangle is a triangle in which one angle is a right angle (that is, a 90-degree angle).
What is hypotenuse?"The side opposite the right angle is called the 'hypotenuse'. The hypotenuse is always the longest side. The sum of the other two interior angles is equal to 90°."
What is opposite side?"An 'opposite' side is the one across from a given angle."
What is adjacent side?"An 'adjacent' side is next to a given angle. We use special words to describe the sides of right triangles."
we have,
cosθ = \(\frac{5}{12}\)
secθ = \(\frac{12}{5}\)
Hypotenuse side = 12
Adjacent side = 5
∴ Opposite side = \(\sqrt{hyp^{2}-adj^{2} }\)= \(\sqrt{12^{2}-5^{2} }\) = \(\sqrt{119}\)
sinθ = \(\frac{opp}{hyp}\) = \(\frac{\sqrt{119} }{12}\)
tanθ = \(\frac{opp}{adj}\) = \(\frac{\sqrt{119} }{5}\)
cosecθ = \(\frac{hyp}{opp}\) = \(\frac{12}{\sqrt{119} }\)
cotθ = \(\frac{adj}{opp}\) = \(\frac{5}{\sqrt{119} }\)
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Classify the pair of angles.
34°
O complementary
O supplementary
o vertical
Find the value of x.
x=
Answer:
supplementary
x = 146 degrees
Step-by-step explanation:
Answer:
supplementary
Step-by-step explanation:
Using the equation y=x²-2x-8 and the x-intercepts (-2,0), (4,0) answer the following:
(a) distance between the x-intercepts
(b) x-coordinate of the vertex
(c) y-coordinate of the vertex
The distance between the x-intercepts is 6 units
The x-coordinate of the vertex is 1The y-coordinate of the vertex -9The distance between the x-interceptsFrom the question, we have the following parameters that can be used in our computation:
Equation y = x² - 2x - 8
x-intercepts = (-2,0) and (4,0)
The distance between the x-intercepts is calculated as
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
So, we have
distance = √[(-2 - 4)² + (0 - 0)²]
Evaluate
distance = 6
The x-coordinate of the vertexHere, we have
y = x² - 2x - 8
Differentiate and set to 0
2x - 2 = 0
So, we have
x = 1
The y-coordinate of the vertexIn (b), we have
x = 1
So, we have
y = 1² - 2(1) - 8
Evaluate
y = -9
So, the y-coordinate is -9
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Slope-intercept form of the equation of the line that is perpendicular to -2x + 3y = 10 and contains P(10,-10)
The square root of 14-8√3
The square root of √(14 - 8√3) simplifies to ±√(14 + 8√3).
To simplify the expression √(14 - 8√3), we can follow these steps:
Let's assume √(14 - 8√3) = x.
Square both sides of the equation to eliminate the square root:
(√(14 - 8√3))² = x²
14 - 8√3 = x²
Rearrange the equation to isolate the radical term:
8√3 = x² - 14
To simplify further, let's solve for x by isolating the radical term:
x² = 8√3 + 14
x² = 14 + 8√3
Now, we can solve for x by taking the square root of both sides:
x = ±√(14 + 8√3)
In order to simplify the phrase (14 - 8), we may do the following:
Assume that (14 - 83) equals x.
To get rid of the square root, square both sides of the equation:
(√(14 - 8√3))² = x²
14 - 8√3 = x²
To find the radical term, reorder the equation:
8√3 = x² - 14
Let's solve for x using the radical term alone to further simplify the problem:
x² = 8√3 + 14 x² = 14 + 8√3
By taking the square root of both sides, we can now find x:
x = ±√(14 + 8√3)
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4/7 of the students in a classroom are boys. If there are twelve girls in the class, how many total students are there?
Answer:
28 students total.
Step-by-step explanation:
Let's use a ratio:
boys : girls
4 : 3
16 : 12
To find the total, we need to add 16 and 12 which equals 28
Answer:
28 students
Step-by-step explanation:
If 4/7 of the students are boys,
then 1- 4/7 = girls
7/7 -4/7 = 3/7
total students *3/7 = girls
total students * 3/7 = 12
Multiply each side by 7/3
total students * 3/7 *7/3 = 12*7/3
total students = 28
Helpppppppppppppppppppppppppp
Answer:
The first one.
Someone plz help me
Answer:
16 is the answer hope i helped!
Step-by-step explanation:
Answer:
i think it c
:D
Step-by-step explanation:
I need some help with these
A fruit merchant earns a profit of Rs.10 per bag of oranges and a loss of Rs.5 per bag of grapes sold. If he sells 200 bags of oranges and 350 bags of grapes, find the total profit/loss.
In a test (+5) marks are given for every correct answer and (-3) marks are given for every incorrect answer and 0 for answer not attempted. Neha gets 4 correct and 3 incorrect out of 7 questions she attempted. What is her score?
The weight of an object on Moon is 1/6 its weight on Earth. Find the weight of the object on Moon which weighs 28/5 Kg on Earth.
Find 3/4 of 5/7
It'd really help me out if anyone answers this!!
Answer:
1) A profit of Rs 250 is made.
3) 11 marks
3) 14/15 kg
4) 15/28
Step-by-step explanation:
1) A profit of Rs.10 per bag of oranges and a loss of Rs.5 per bag of grapes sold. The total profit/loss from selling 200 bags of oranges and 350 bags of grapes is:
total profit/loss = 200 (10) - 5(350) = 2000 - 1750 = Rs 250
A profit of Rs 250 is made.
2) (+5) marks are given for every correct answer and (-3) marks are given for every incorrect answer and 0 for answer not attempted. If he answer 4 correct and 3 incorrect out of 7 questions. His score is:
Score = 5(4) - 3(3) = 20 - 9 = 11 marks
His score is 11 marks
3) An object weighs 28/5 kg on earth. Since its weight on moon is 1/6 its weight on Earth.
The weight on moon = 1/6 × 28/5 = 14/15 kg
4) 3/4 of 5/7 = 15/28