1) The empirical formula for this compound is; K₂Cr₂O₇
2) It is an Ionic compound because it has two potassium ions (K+) and a negatively charged dichromate ion (Cr2O7-).
How to find the Empirical Formula?
1) Elements of the unknown compound are;
Potassium = 40 g
Chromium = 52 g
Oxygen = 56 g
Let us find the number of moles of each element;
Number of moles of Potassium = 40/39 = 1.026 mol K
Number of moles of Chromium = 52/52 = 1 mol Cr
Number of moles of oxygen = 56/16 = 3.5 mol O
Multiply through the number of moles by 2 and round up to the nearest whole number to get the empirical formula at; K₂Cr₂O₇
2) The compound K₂Cr₂O₇ is called Potassium dichromate. It is classified as an ionic compound because it has two potassium ions (K+) and a negatively charged dichromate ion (Cr2O7-).
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PLEASE HELP FAST (6 1/7 divided by x + 3 5/9) / 4 1/6 = 1 1/3 what is x
Answer:
0.524
Step-by-step explanation:
That is the answer not really sure tho
What is the direction and magnitude of the following correlation coefficients
a. -0.81
b. 0.40
c. 0.15
d. -0.08
e. 0.29
-0.81 has negative direction and o.81 is the magnitude, 0.40 has positive direction and 0.40 is the magnitude, 0.15 positive direction and 0.15 is the magnitude, -0.08 has negative direction and 0.08 is the magnitude and 0.29 has positive direction and 0.29 is the magnitude
What is Vector?A quantity having direction as well as magnitude, especially as determining the position of one point in space relative to another.
-0.81
Minus zero point eight one has negative direction and o.81 is the magnitude
0.40
zero point four zero has positive direction and 0.40 is the magnitude
0.15
Zero point one five has positive direction and 0.15 is the magnitude
-0.08
Minus zero point zero eight has negative direction and 0.08 is the magnitude
0.29
Zero point two nine has positive direction and 0.29 is the magnitude
Hence -0.81 has negative negative direction and o.81 is the magnitude, 0.40 has positive direction and 0.40 is the magnitude, 0.15 positive direction and 0.15 is the magnitude, -0.08 has negative direction and 0.08 is the magnitude and 0.29 has positive direction and 0.29 is the magnitude
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Solve the proportion: 3/2 = 4/p + 9
The answer is p = -8/15
Proportion can simply be defined as equating two ratios
The proportion of 3/2 = 4/p +9 can be calculated as follows
3/2 - 9/1 = 4/p
-15/2 = 4/p
cross multiply both sides together to find the value of p
-15×p= 4×2
-15p= 8
p= -8/15
Hence the answer is p= -8/15
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please help for 25 points
Using translation concepts, the trigonometric graph is given by:
y = sin(x) + 1 = 1sin(1x) + 1.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The parent function given in this problem is:
y = sin(x).
The dashed line is a shift up one unit of the parent function, hence the definition is:
y = sin(x) + 1 = 1sin(1x) + 1.
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Joan wants to set a 4-digit unlock code for her mobile phone. She plans to use only odd numbers and to make sure that no number is used more than once. How many different unlock codes are possible.
Answer: 120
Step-by-step explanation:
There are 5 digits that are odd, 1 3 5 7 9
There are 5 possibilities for the first digit, 4 for the second, 3 for the third, and 2 for the last, so there are 5 x 4 x 3 x 2 = 120
A pair of ladders whose lengths are 4.2m and 5.6m are leaned onto a wall such that they reach the same height. The base of the longer ladder is 1.96 further away from the base of the wall then the base of the shorter ladder. The distance of the shorter ladder form the wall is:
Answer:
2.52 m
Step-by-step explanation:
let the height be h m.
let the shorter ladder be x m away from the base of wall.
(x+1.96)²+h²=5.6²
x²+h²=4.2²
subtract
(x+1.96)²-x²=5.6²-4.2²
(x+1.96+x)(x+1.96-x)=31.36-17.64
(2x+1.96)(1.96)=13.72
2x+1.96=13.72/1.96=7
2x=7-1.96=5.04
x=5.04/2=2.52
a train started from Howrah to Allahabad and another train started from Allahabad for Howrah at the same time. The two trains reached their destinations in 9 hours
The speed ratio of the two trains is 4:3, that is, for every 4 hours that one train is delayed, the other is delayed 3.
How to find the speed ratio of the trains?To find the speed ratio of the trains we must do the following operation:
V1 = [tex]\frac{x}{t} = \frac{l - x }{9}[/tex]V1 = [tex]\frac{x}{l - x} = \frac{t}{9}[/tex]T = [tex]\frac{t}{9} = \frac{16}{t}[/tex]V2 = [tex]\frac{x}{t} = \frac{x}{12}[/tex]V1 : V2 = [tex]\frac{x}{12}[/tex]:[tex]\frac{x}{16}[/tex]Note: This question is incomplete because there is some information missing. Here is the complete information in:
A train started from Howrah for Allahabad another train started from Allahabad for Howrah at the same time. The two trains reached their destinations in 9hours and 16 hours respectively after they meet each other. Find the ratio of speed of the two trains.
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2[tex]\pi[/tex] x 24 simplified
Answer: [tex]48\pi[/tex]
Step-by-step explanation:
[tex](2 \times 24)\pi=48\pi[/tex]
6 A survey was given to 12th-grade students of West High School to
determine the location for the senior class trip. The results are shown
in the table below.
To the nearest percent, what percent of the boys chose Niagara Falls?
Total of 24.03% of boys choose Niagara falls.
What is a frequency table?
A frequency table is a list of objects with the frequency of each item shown in the table.
The quantity of times that an event or value occurs is its frequency.
A frequency table, then, is a table that contains some facts and their frequency.
Given,
Total number of boys
56 + 74 + 103 = 233
Number of boys who chose Niagara falls = 56
Percentage of 56 out of 233
(56/233) × 100⇒ 24.03%
Hence the percent of the boys chose Niagara Falls will be 24.03%.
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Prove Sin(90-A)=cosA
Step-by-step explanation:
sin(90-A) = sin90cosA-sinAcos90
= cosA*1-0*sinA
= cos90
hence proved
Step-by-step explanation:
sin(90-A)=cosA
sin(90-A)=sin(90-A)
90-A=90-A
-A+A=90-90
=0
A cone is 10cm high and has a base radius of 8cm.
Find the radius and height of a cylinder that is inscribed in the cone such that the volume of the cylinder is a maximum. Find the maximum volume of the cylinder and leave the answer in exact form.
The maximum volume of the cylinder in exact form is; V_max = 2560π/27
How to maximize the volume of a cylinder?Let us define the variables as:
Radius of cone = r
Radius of cylinder = x
Height of Cone = h
Height of Cylinder = y
The general equation for volume of the cylinder is;
V = πx²y
Taking a strip of both figures and relating x, y, r & h as well as using ratios of similar triangles, we have:
Height of triangle above cylinder/Base of Triangle above cylinder = Height of full triangle/Base of full triangle
This gives;
(h - y)/2x = h/2r
Making y the subject gives us;
h – y = hx/r
y = h – hx/r
y = h(1 – x/r)
Plug in y into our Volume equation:
V(x) = πx²h(1 – x/r)
V(x) = πh(x² - x³/r)
To get maximum volume, find the derivative of the volume and solve for when the derivative equals zero:
V'(x) = πh(2x - 3x²/r)
V'(x) = 0
Thus;
(2x - 3x²/r) = 0
x( 2r – 3x) = 0
Thus;
x = 0 or x = 2r/3
Put x = 2r/3 in our volume equation to find V_max
V_max = πh((2r/3)² – (2r/3)³/r)
V_max = πh(4r²/9 - 8r²/27)
V_max = πh(12r²/27 - 8r²/27)
V_max = 4πhr²/27
Thus, at r = 8 and h = 10, we have;
V_max = 4π(10)8²/27
V_max = 2560π/27
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Follow the instructions for the following inequalities.
1. 4<7 Multiply both sides by 7 , then by 6, then by 3, then by 10
2. 11>-2 Add 5 to both sides, then add 3, then add (-4)
3. -4<-2 Subtract 6 from both sides, then 8, and then 2
4. -8<8 Divide both sides by -4, then by -2
5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?
Answer:
below
Step-by-step explanation:
1) 4 < 7
28 < 49
168 < 294
1680 < 2940
2) 11 > -2
16 > 3
19 > 6
15 > 2
3) -4 < -2
-10 < -8
-18 < -16
-20 < -18
4) -8 < 8
2 > -2
-1 < 1
5) When you multiply by a negative number, the inequality sign flips.
Find the savings plan balance after 18 months with an APR of 5% and monthly payments of $200.
The savings plan balance after 18 months is $3,730.38
What is an ordinary annuity?
An ordinary annuity means that periodic savings are made at the end of each period unlike an annuity due where payments are made at the beginning of each period.
To determine the savings plan balance after 18 months, we need to make use of the future value formula of an ordinary annuity provided below:
FV=monthly payment*(1+r)^N-1/r
FV=future value after 18 months=unknown
monthly payment=$200
r=monthly interest rate=5%/12=0.00416666666666667
N=number of monthly payments in 18 months=18
FV=$200*(1+0.00416666666666667)^18-1/0.00416666666666667
FV=$200*(1.00416666666666667)^18-1/0.00416666666666667
FV=$200*(1.07771621094479000-1)/0.00416666666666667
FV=$200*0.07771621094479000/0.00416666666666667
FV=$3,730.38
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rearrange the equation a = 1/2 b to make b the formula
Answer:
b = 2a
Step-by-step explanation:
a = [tex]\frac{1}{2}[/tex] b ( multiply both sides by 2 to clear the fraction )
2a = b
Answer: b = 2a
Step-by-step explanation:
Original equation
a = (1/2) b
Multiply 2 on both sides
a * 2 = (1/2) b * 2
[tex]\Large\boxed{b=2a}[/tex]
Hope this helps!! :)
Please let me know if you have any quesitons
3 x +14 (3x-4) +3 x ( 6) +3 (х+2 )=4
The value of 'x' from the expression is 9/ 11
How to simplify the expressionGiven the expression;
3 x +14 (3x-4) +3 x ( 6) +3 (х+2 )=4
First, we expand the bracket
3x + 42x - 56 + 18x + 3x + 6 = 4
collect like terms
3x + 42x + 18x + 3x - 56 + 6 = 4
Add up like terms
66x - 50 = 4
66x = 4 + 50
66x = 54
Make 'x' the subject of formula
x = 54/ 66
x = 9/ 11
Thus, the value of 'x' from the expression is 9/ 11
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kerri said that the quotient of 4.2/5 is about 8 tenths because 4.2/5 is close to 40 tenths /5 do you agree with Kerris reasoning?
Kerris reasoning that 4.2/5 is about 8 tenths because 4.2/5 is close to 40 tenths/5 is correct
How to interpret Kerris reasoning?The quotient is given as:
4.2/5
Kerris reasoning is that
4.2/5 is approximately 0.8
We start by calculating the actual value of the quotient 4.2/5
Using a calculator, we have:
4.2/5 = 0.84
Approximate to the nearest tenth
4.2/5 = 0.8
This means that Kerris reasoning that 4.2/5 is about 8 tenths because 4.2/5 is close to 40 tenths/5 is correct
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chef John bought 3 dozen eggs for $16.20 what is the unit price a $10.80 per 2 dozen eggs b $5.40 per 12 eggs c $0.45 per eggs d $0.22 per eggs e none of these f I don't know this yet
The amount of detergent dispensed into bottles of liquid laundry detergent bottles for a particular brand is normally distributed with a mean of 84.5 ounces with a standard deviation of 1.1 ounces. If seventeen bottles are randomly chosen from the factory, what is the probability that the mean fill is more than 84.8 ounces
The probability that the mean fill is more than 84.8 ounces is 0.39358
How to determine the probability that the mean fill is more than 84.8 ounces?From the question, the given parameters about the distribution are
Mean value of the set of data = 84.5Standard deviation value of the set of data = 1.1The actual data value = 84.8The z-score of the data value is calculated using the following formula
z = (x - mean value)/standard deviation
Substitute the given parameters in the above equation
z = (84.8 - 84.5)/1.1
Evaluate the difference of 84.8 and 84.5
z = 0.3/1.1
Evaluate the quotient of 0.3 and 1.1
z = 0.27
The probability that the mean fill is more than 84.8 ounces is then calculated as:
P(x > 84.8) = P(z > 0.27)
From the z table of probabilities, we have;
P(x > 84.8) = 0.39358
Hence, the probability that the mean fill is more than 84.8 ounces is 0.39358
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find the square roots by division method of 210,681 please tell me
Answer:
459
Step-by-step explanation:
The "long division method" algorithm for square root makes use of the relation described by the square of a binomial.
(a +b)² = a² +2ab +b² = a² +b(2a +b)
StepsThe value for which the root is desired is written with digits marked off in pairs either side of the decimal point.
The initial digit of the root is the integer part of the square root of the most-significant pair. Here that is floor(√21) = 4. This is shown in the "quotient" spot above the leftmost pair. The square of this value is subtracted, and the next pair brought down for consideration. Here, that means the next "dividend" is 506.
The next "divisor" will be 2 times the "quotient" so far, with space left for a least-significant digit. Here, that means 506 will be divided by 80 + some digits. As in regular long division, determining the missing digit involves a certain amount of "guess and check." We find that the greatest value 'b' that will give b(80+b) ≤ 506 is b=5. This is the next "quotient" digit and is placed above the "dividend" pair 06. The product 5(85) = 425 is subtracted from 506, and the next "dividend" pair is appended to the result. This makes the next "dividend" equal to 8181.
As in the previous step, the next "divisor is 2 times the quotient so far: 2×45 = 90, with space left for the least significant digit. 8181 will be divided by 900-something with a "quotient" of 9. So, we subtract the product 9(909) = 8181 from the "dividend" 8181 to get the next "dividend." That result is zero, so we're finished.
The root found here is 459.
__
Additional comment
In practice, roots are often computed using iterative methods, with some function providing a "starter value" for the iteration. Some iterative methods can nearly double the number of good significant digits in the root at each iteration.
Using this "long division method," each "iteration" adds a single significant digit to the root. Its advantage is that it always works, and is generally suitable for finding roots by hand. Once the number of root digits begins to get large, the "divisor" starts to be unwieldy.
Jennifer has 25 coins with a total value of $4.25. The coins are quarters and nickels. How many of each does she have?
Answer:
15 quarters and 10 nickels
Step-by-step explanation:
[tex]q+n=25[/tex]
[tex]0.25q+0.05n=4.25[/tex]
multiply the first equation by -0.25 and add the second equation to it
[tex]-0.25q-0.25n=-6.25\\0.25q+0.05n=4.25[/tex]
________________
[tex]-0.2n=-2[/tex]
[tex]n=\frac{-2}{-0.2} =10[/tex] has 10 nickels
[tex]q=25-n=25-10=15[/tex] has 15 quarters
10(.05) +15(0.25) = 0.5 + 3.75 = 4.25
Hope this helps
Which of the following fitness scores is the highest relative score?
a score of 39 on a test with a mean of 31 and a standard deviation of 6.1
a score of 1136 on a test with a mean of 1080 and a standard deviation of 67.8
a score of 4730 on a test with a mean of 3960 and a standard deviation of 555.5
All scores are relatively equal.
Due to the higher z-score, the correct option regarding the highest relative score is:
A score of 4730 on a test with a mean of 3960 and a standard deviation of 555.5.
What is the z-score formula?The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean, hence the higher the z-score, the higher the score X is relative to other scores.
The respective z-scores for this problem are given by:
(39 - 31)/6.1 = 1.31.(1136 - 1080)/67.8 = 0.83.(4730 - 3960)/555.5 = 1.39.Hence the correct option is:
A score of 4730 on a test with a mean of 3960 and a standard deviation of 555.5.
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Let A, B, C be three points on a circle
with AB = BC. Let the tangents at A and
B meet at D. Let DC meet again
at E. Prove that the line AE bisects the segment
BD. (Hint: Why do we care about a chord bisecting a tangent line?)
The proof that the line AE bisects the segment can be seen below.
How to get the proof
Let us have
Γ1 and 2 are the two intersecting circles. to be the circumcircle of the shape ADE. Then we can see that Γ1 is tangent to the line DB.
A common tangent would have to touch T1 at A and also touch T2 at B
Such that what we would have would be
<ADB = 180◦ − 2<ABD = <ABC = <AEC
This would then tell us that the line is tangent to the segment.
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A box has 1 red marble, 3 blue marbles, and 4 green marbles. Maya draws a blue marble randomly from the box, replaces it, and then draws another marble randomly. What is the probability of drawing 2 blue marbles in a row? Explain
Step-by-step explanation:
there are
1 red marble
3 blue marbles
4 green marbles
in the box.
that means there are 8 marbles in the box. which gives us 8 different outcomes for pulling randomly 1 marbles.
the probability for each of these 8 outcomes is equal : 1/8.
remember, the probability is always the number of desired cases over the number of total possible cases.
so, the probability of pulling a red marble is :
1 desired case
8 total cases
->
1/8 or 0.125
the probability of pulling a blue marble is :
3 desired cases
8 total cases
->
3/8 or 0.375
the probability of pulling a green marble is :
4 desired cases
8 total cases
->
4/8 = 1/2 or 0.5
now the experiment is pulling 2 marbles in a row, but the first pulled marble is put back into the box again.
this makes this a combined event, where the first AND the second event must fulfill the desired over total cases.
if the 2 events are independent (not overlapping or influencing each other), then we can simply multiply the probabilities. which is the case here, because the first marble is put back.
why ?
because now we have 8 possible outcomes for the first ball, and again 8 possible outcomes for the second ball, and when we combine all possibilities from the first with all possibilities from the second pull, we get 8×8 = 64 possible outcomes :
red. red
red. blue1
red. blue2
red. blue3
red. green1
...
green4 green4
so, the probability to pull a blue ball first is
3/8
and the probability to pull a blue ball second is
3/8 too
the combined probability of the combined event is
3/8 × 3/8 = 9/64
we have 3×3 = 9 desired outcomes of combining 3 blue and 3 blue balls out of the total of 64 possible outcomes.
Will mark brainliest!
Answer:
Area under the graph = 6 sq.units
I've shown the complete calculation over the attached page
Find the area of the trapezoid 3cm 3cm 4cm 1cm
Answer:
8√2 cm²
Refer to the attached page,I've shown the complete calculation over there
As a cold front approaches the weather forecast over the next 5 days calls for the following temperatures In degrees Fahrenheit 12,5,18,8,2 which graph below represents the temperature over this 5 day period
The graph showing the temperature over the 5-day period will look exactly like the attached. On the y-axis, we have the Temperature and the x-axis the number of days.
What is the value of a Graph forecast?Graphs and charts are useful visual aids because they make information accessible and easy to understand.
Therefore, it is not unexpected that print and electronic media frequently employ graphs.
When data is displayed as a graph rather than a table, it can often be easier to understand since the graph might show a pattern or comparison.
What is the interpretation of the graph?The graph shows the forecasted data against the actual data. It is to be noted that the data for the actual 5-day temperatures are made-up to help the analyst understand the differences between the forecasted and the actual data.
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If a 90ml drink has 2 parts milk and 1 part chocolate topping, how many mls of milk and chocolate topping is that?
Answer:
The milk would be 60 ml and the topping would be 30 ml
Step-by-step explanation:
If there are 2 parts milk and 1 part toppings that would be a total of 3 (2+1 =3) So we are looking for 2/3 of 90 and 1/3 of 90.
If AC is a diameter and Arc AD = 90. Find ∠DAC. Round your answer to the nearest tenth.
Answer:
45°
Step-by-step explanation:
it is an inverted angle within a circle
==========================================================
Explanation:
Minor arc AD is the shortest path from A to D along the circle's edge. This is 90 degrees. Minor arc AD combines with DC to get arc ADC
Arc ADC is a semicircle because of the diameter AC. Any semicircle has a measure of 180 degrees.
So,
(minor arc AD) + (minor arc DC) = arc ADC
(minor arc AD) + (minor arc DC) = 180
(90) + (minor arc DC) = 180
minor arc DC = 180 - 90
minor arc DC = 90
AD and DC are 90 degrees each.
Then notice that inscribed angle DAC subtends minor arc DC. Use the inscribed angle theorem to determine angle DAC is 90/2 = 45 degrees
Select the correct answer. In the given diagram, . Prove: The transversal line intersects two parallel lines m and n with values of corresponding angles are congruent pairs of corresponding angles are (1, 5), (4, 8), (3, 7), and (2, 6) Statements Reasons 1. given 2. alternate exterior angle theorem 3. ? vertical angles theorem 4. transitive property of congruence Which statement is missing in the proof? A. B. C. D.
Based on the given diagram (see attachment), the statement which is missing in the proof is: D. m∠7 ≅ m∠5.
What are parallel lines?Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
The condition for two parallel lines.In Geometry, two (2) lines are considered to be parallel if their slopes are the same (equal) and they've different y-intercepts. This ultimately implies that, two (2) lines are parallel under the following conditions:
m₁ = m₂
Note: m is the slope.
From the given diagram (see attachment), we can logically deduce that line m is parallel to line n (m || n) and a transversal line intersects both of them.
Based on these reasons, we can prove the following statements:
m || n (given)m∠1 ≅ m∠7 (alternate exterior angle theorem).m∠7 ≅ m∠5 (vertical angles theorem).m∠1 ≅ m∠7 (transitive property of congruence).In conclusion, we can logically deduce that the statement which is missing in the proof is m∠7 ≅ m∠5.
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Answer:
here you go
Step-by-step explanation:
|x-4| if x>4 please answer
Step-by-step explanation:
if , X>4
---> y= x-4
if , X<4
---> y= -(x-4)
y= 4- X
because , the value of |x-4| is Always positive ....