Determine which proportion is correct, we will compare the cross products of each proportion. The correct proportion will have equal cross products. The correct proportion is 1/2 = 3/6.
1. 4/10 = 3/6
To check this proportion, we'll calculate the cross products:
(4 * 6) = (10 * 3)
24 = 30
Since 24 ≠ 30, this proportion is incorrect.
2. 1/2 = 7/8
To check this proportion, we'll calculate the cross products:
(1 * 8) = (2 * 7)
8 = 14
Since 8 ≠ 14, this proportion is incorrect.
3. 1/2 = 3/6
To check this proportion, we'll calculate the cross products:
(1 * 6) = (2 * 3)
6 = 6
Since 6 = 6, this proportion is correct.
4. 4/10 = 7/8
To check this proportion, we'll calculate the cross products:
(4 * 8) = (10 * 7)
32 = 70
Since 32 ≠ 70, this proportion is incorrect
So, the correct proportion is 1/2 = 3/6.
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Ava is a high school basketball player. In a particular game, she made some three
point shots and some two point shots. Ava made a total of 12 shots altogether and
scored a total of 28 points. Determine the number of three point shots Ava made and
the number of two point shots she made.
Answer:
2(x+31)+3x+1=83
2x+62+3x+1=83
5x=83-62-1
5x=20
x=20/5
x=4 3-points made.
4+31=35 3-points made.
Proof:
2*35+3*4+1=83
70+12=1=83
83=83 hope this helps
Answer:
Ava made 4 three point shots and 8 two point shots.
Five strains of the Staphylococcus aureus bacteria were grown at 35 degrees Celsius for either 24 hours or 48 hours. Here are the resulting bacterial counts for each condition. The value of the correlation between bacterial count after 24 hours and bacterial count after 48 hours
The bacterial count after 48 hours decreases. A correlation coefficient of 0 would indicate no relationship between the two variables.
To find the correlation between the bacterial count after 24 hours and 48 hours, we would need the actual numerical values of the bacterial counts for each strain. Without that information, we cannot calculate the correlation coefficient. However, it is important to note that a positive correlation would indicate that as the bacterial count after 24 hours increases, the bacterial count after 48 hours also increases. A negative correlation would indicate that as the bacterial count after 24 hours increases, the bacterial count after 48 hours decreases. A correlation coefficient of 0 would indicate no relationship between the two variables.
The complete question is-
Five strains of the Staphylococcus aureus bacteria were grown for 24 hours either at 35 degrees Celsius or at 43 degrees Celsius. Here are the resulting bacterial counts for each condition:
24 hr: 66, 71, 93, 102, 62
48hr: 110,123,146,136,113
If we had plotted bacterial count at 35 degrees Celsius on the y-axis instead of the x-axis, the value of the correlation coefficient would be
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What is 85% shaded ?
Answer:
That it's shaded an 85% only (of 100%)Φ
Marcus is selling lemonade and peanuts.Each cup of lemonade cost $0.75 and each bag of peanuts cost $0.35. On Saturday Marcus sold 5 more cups of lemonade than bags of of peanuts. He earned $7.05. How many cups of lemonade did Marcus sell on Saturday?
The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Answer:
please see photo for detailed analysis
Please help asap needed for an overdue homework
Which phrase best describes the translation from the graph y = 2(x - 15)2 + 3 to the graph of y = 2(x - 11)2 + 3?
4 units to the left
4 units to the right
8 units to the left
8 units to the right
What change has been caused?
y=2(x-15)²+3y=2(x-15+4)²+3y=2(x-11)²+3Change in x (+4)
Means
translation is 4units leftOption A
Answer:
translate 4 to the left
Step-by-step explanation:
ED 2022
Need help please on this
The line has an equation y = 0.03x + 20, with a slope of $0.03 per GB and the y intercept of $20.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on
The slope intercept form of a linear equation is:
y = mx + b
where m is the rate of change and b is the y intercept
Let y represent the total cost of buying x gigabyte of data
The line passes through the point (0, 20) and (2000, 80). Hence:
\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\substituting:\\\\y-20=\frac{80-20}{2000-0} (x-0)\\\\y = 0.03x + 20\)
The slope is 0.03 and the y intercept of the line is 20.
The second line passes through the point (0, -2) and (-2, -5). Hence:
\(y-y_1=\frac{y_1-y_1}{x_2-x_1} (x-x_1)\\\\substituting:\\\\y-(-2)=\frac{-5-(-2)}{-2-0} (x - 0)\\\\y=1.5x-2\)
The equation of the line is y = 1.5x + 1 and y = 1.5x - 2
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when does the equation of a line in slope-intercept form look just like its equation in point slope form ???
with explanation
Answer: y = mx + b
Step-by-step explanation:
i think this is what ur asking but “y” is the coordinate of the y-axis with “x” being the coordinate of the x-axis. m is the slope of the graph
6. Nathan buys packages of bacon. This chart shows the numbers of
packages and the total cost to ship.
Number of Packages Shipping Cost
()
1
$8
2
$16
3
$24
4
$32
Which statement is true?
A The data is proportional, and the unit rate is $8 per package.
B. The data is not proportional, and the unit rate is $8 per package.
C. The data is proportional, and the unit rate is 8 packages per dollar.
D. The data is not proportional, and the unit rate is 8 packages per
dollar.
Answer:
A The data is proportional and the unit rate per package is $8 This is because y= 8x
Step-by-step explanation:
/y relationship is no of packages = 1 x/ = total cost to ship = 8 = 8/1 = 16/2 = 24/3 = 32/4 means they are all proportional to 8/1 = 8 y = 8x see graph attached
2. Which of the following states that if the product of two real numbers is zero, then either of the two is
equal to zero or both numbers are equal to zero?
A. Multiplication Property C. Identity Property
B. Zero Product Property
D. Transitive Property
Answer:
b
B zero product property
Answer:
The Zero property
Step-by-step explanation:
anything multiplied by zero will give you a product of zero
Each term in the sequence below is 9 more than 1/3 the previous term. What is the value of y-x?
81, 36, x, y,...
Plz explain
Answer:
y - x = - 5
Step-by-step explanation:
Applying the rule gives
x = \(\frac{1}{3}\) × 36 + 9 = 12 + 9 = 21
y = \(\frac{1}{3}\) × 21 + 9 = 7 + 9 = 16
Thus
y - x = 16 - 21 = - 5
Write an example of each of the following.(.5 points each)a.a number that is not a perfect square:b.an ordered pair:c.a trinomial:
The number is not a perfect square, if it can not be expressed as square of a number.
So an example of number that is not a perfect square is 8.
The ordered pair is the position of a point on the coordinate plane. It represent the x-coordinate and y-coordinate.
An example of an ordered pair is (2,4).
A trinomial is an expression which consist of three non-zero terms.
An example of trinomial is, 2x + 3y +4z.
What is the range of this function? (negative infinity, infinity) left-bracket negative 1, infinity) (negative 1, infinity) (0, infinity)
The range of the function \(f(x) = -2(6)^{x} +3\) discovered using exponential function is ( -∞, 3).
What is the range?The difference between the greatest and smallest numbers is called the range.What is an exponential function?
The following equations represent an exponential function: \(y=ab^{x} +c\)In which:
a is the initial value.b is the rate of change.c is the vertical shift.As for the range, we have:
If a > 0, the range is (c,∞).If a < 0, the range is (-∞,c).In this problem, the function is given by: \(f(x) = -2(6)^{x} +3\)
The coefficients are a = -2 0, b = 6, and c = 3, and the range is (-∞,3).
Therefore, the coefficients are a = -2 0, b = 6, and c = 3, and the range is (-∞,3).
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The complete question is given below:
What is the range of the function f(x) = –2(6x) + 3? (negative infinity, negative 2 Right-bracket (negative infinity, 3) Left-bracket negative 2, infinity) Left-bracket 3, infinity)
Answer:B
Step-by-step explanation:edge lolololololololloll
9x - 4 = 5x - 4 + 4x
Answer:
x = 1
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Find the slope of a line perpendicular to a line containing points (3,-5) and (1,7)
Answer:
Slope of a line perpendicular to a line = \(\frac{1}{6}\)
Step-by-step explanation:
(x₁ , y₁ ) = (3 , -5) & (x₂, y₂) = (1 , 7)
\(slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\)
\(= \frac{7-[-5]}{1-3}\\\\=\frac{7+5}{1-3}\\\\=\frac{12}{-2}\\\\= - 6\)
Slope of the perpendicular line = \(\frac{-1}{m}\)
\(= \frac{-1}{-6}\\\\= \frac{1}{6}\)
Show that 155 can be expressed as the sum of a power of 2
and a cube number.
The expression can be written in the form of 2⁷ + x³ = 155.
What is referred as the cube of the number?In terms of numbers, a number's cube can be demonstrated as a product of 3 equal numbers.
The process of determining whether or not a particular choice is correct is referred to as trial and error (or wrong)
The given number is 155.
Case-1: Assume the power to 2 is one.
2¹ + x³ = 155
so,
x³ = 155 - 2 = 153
We can now solve for x.
It is a cube root rather than a number.
As a result, this is not an option.
Case-2: Assume the power to 2 is 2.
2² + x³ = 155
so,
x³ = 155 - 4 = 151
Again, cube root is not a number.
As a result, this is not possible.
Case-3: Assume the power of two is three.
2³ + x³ = 155
so,
x³ = 155 - 8 = 147
It is a cube root, not a number.
As a result, this is not possible.
Case-4: Assume the power of two is four.
2⁴ + x³ = 155
so,
x³ = 155 - 16 = 139
Again, cube root is not a number.
As a result, this is not possible.
Case-5: Assume the power of 2 is 5.
2⁵ + x³ = 155
so,
x³ = 155 - 32 = 123
Again, cube root is not a number.
As a result, this is not possible.
Case-6: Assume the power of two is six.
2⁶ + x³ = 155
so,
x³ = 155 - 64 = 91
Again, cube root is not a number.
As a result, this is not possible.
Case-7: Assume the power of 2 is 7.
2⁷ + x³ = 155
so,
x³ = 155 - 128 = 27
Its cube root of three.
This is a combination scenario.
As a result, we can write as:
2⁷ + x³ = 155.
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Lin has a drawing with an area of 20 square inches. If she increases all the sides by a scale factor of 4, what will the new area be in square inches?
Answer:
100 square inches
Step-by-step explanation:
20*4=100
A square has sides of length 6/12 inches. Area of length times width.
What is the area of the square in square inches?
The area of the square is 1/4inches² in square inches
What is area of squareThe area of a square is calculated by multiplying its two sides, that is area = s × s, where, 's' is one side of the square.
The square has side of length = 6/12
this can be simplified as 1/2
so
area of the square = (1/2 × 1/2) inches ²
area of the square = 1/4inches²
Thus, the area of the square is calculated using area = s × s, as 1/4inches²
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Need help please can you answer it how the question is telling you
Answer:
243 m³
Step-by-step explanation:
The volume of a rectangular pyramid is given by:
\(V = \frac13lwh\)
Where
l = length = 9m
w = width = 9m
h = height = 9m
so the volume is 1/3*9*9*9 = 243 m³
Answer:
243
Step-by-step explanation:
The formula for the volume of a square-based pyramid is
\(V=\frac{lwh}{3}\)
\(l\) = length
\(w\) = width
\(h\) = height
\(V=\frac{9 \times 9 \times 9}{3}\)
\(V=\frac{729}{3}\)
\(V=243\)
The area is 243 cubic meters.
A regression model for a consumption function shows how household consumption and GDP have historically been related. The numbers in brackets underneath are the standard errors of the regression model. The coefficient in front of GDP is called the marginal propensity to consume, or MPC, because it is how much consumption goes up when GDP goes up by one unit. C=205 + 0.7 GDP (18) (0.051) A researcher finds that the marginal propensity to consume changes if she adds the % change in a stock market index as a variable. C=193 + 0.65 GDP + 0.08 (% change in stock price) (14) (0.12) (0.01) What is predicted consumption if GDP is 200 and if the share market falls by 20% ? (you do not have to worry about any effects of multicollinearity) 321.4 322.98 193 393
To find the predicted consumption, we can plug the given values into the regression equation:
C = 193 + 0.65 GDP + 0.08 (% change in stock price)
Given:
GDP = 200
% change in stock price = -20% (or -0.2)
Substituting the values:
C = 193 + 0.65 * 200 + 0.08 * (-0.2)
C = 193 + 130 - 0.016
C = 322.984
Rounding to two decimal places, the predicted consumption, when GDP is 200 and the share market falls by 20%, is approximately 322.98.
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help
i need H - G answered
Answer:
See below.
Step-by-step explanation:
H.
f = 3x + 31
c = 12x - 1
3x + 31 + 12x - 1 = 180
15x + 30 = 180
15x = 150
x = 10
same-side interior, supplementary
R.
b = x - 10
g = 4x + 60
x - 10 + 4x + 60 = 180
5x + 50 = 180
5x = 130
x = 26
same-side exterior, supplementary
E.
d = 2x + 13
e = 7x + 5
2x + 13 + 7x + 5 = 180
9x + 18 = 180
9x = 162
x = 18
same-side interior, supplementary
I.
a = 10x - 30
e = 8x + 20
10x - 30 = 8x + 20
2x = 50
x = 25
corresponding, congruent
G.
b = x + 30
h = 5x - 14
5x - 14 = x + 30
4x = 44
x = 11
alternate exterior, congruent
you have a dilute solution of cysteine amino acid at ph 7.2. the pka of the cysteine side chain is 8.3. what percentage of all the cysteine molecules in this solution would have a protonated side chain? round the percentage to one decimal place.
In a dilute solution of cysteine amino acid at pH 7.2, we need to determine the percentage of cysteine molecules that have a protonated side chain. To do this, we need to compare the pH of the solution to the pKa of the cysteine side chain.
The pKa of the cysteine side chain is given as 8.3. The pKa represents the pH at which 50% of the molecules will be protonated and 50% will be deprotonated.
In our case, the pH of the solution is 7.2, which is lower than the pKa of 8.3. This means that the solution is more acidic than the pKa, so we can expect a higher percentage of the cysteine side chains to be protonated.
To calculate the percentage of cysteine molecules with protonated side chains, we can use the Henderson-Hasselbalch equation:
pH = pKa + log([A-]/[HA])
Where [A-] represents the concentration of the deprotonated form and [HA] represents the concentration of the protonated form.
Since we are interested in the percentage, we can assume a total concentration of 100% for simplicity.
Let's substitute the values into the equation:
7.2 = 8.3 + log([A-]/[HA])
Rearranging the equation, we have:
log([A-]/[HA]) = 7.2 - 8.3
log([A-]/[HA]) = -1.1
To find the ratio [A-]/[HA], we need to take the antilog of -1.1, which is approximately 0.079.
Now, we know that [A-] + [HA] = 100%, so we can set up the equation:
0.079 + [HA] = 100%
Solving for [HA], we find:
[HA] = 100% - 0.079 = 99.921%
Therefore, approximately 99.9% of the cysteine molecules in this solution would have a protonated side chain.
Remember to round the percentage to one decimal place, so the final answer is 99.9%.
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Approximately 7.9% of the cysteine molecules in the solution would have a protonated side chain.
The pKa value represents the pH at which half of the molecules of a particular compound are protonated and half are deprotonated. In this case, the pKa of the cysteine side chain is 8.3.
Given that the pH of the solution is 7.2, which is lower than the pKa, we can conclude that the solution is more acidic than the pKa value. In an acidic solution, the majority of cysteine molecules will be protonated.
To determine the percentage of cysteine molecules with a protonated side chain, we can use the Henderson-Hasselbalch equation
\(pH = pKa + log([A-]/[HA])\)
In this case, [A-] represents the concentration of the deprotonated form (negatively charged) of cysteine, and [HA] represents the concentration of the protonated form (neutral) of cysteine.
Since the solution is at pH 7.2, we can substitute the values into the equation:
\(7.2 = 8.3 + log([A-]/[HA])\)
Simplifying the equation:
\(-1.1 = log([A-]/[HA])\)
Taking the antilog:
\([A-]/[HA] = 10^{(-1.1)}\)
\([A-]/[HA] ≈ 0.079\)
Since [A-]/[HA] represents the ratio of deprotonated to protonated cysteine molecules, the percentage of cysteine molecules with a protonated side chain is approximately 0.079 or 7.9%.
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Add the following:
14L 875ml 123L 321ml 12L 70ml
Answer: 150266ml or 150.266 L
Step-by-step explanation: 1000ml=1L convert liters to ml. =14000+875+123000+321+12000+70= answer in mL.
The sum of the given quantities is 150.266L.
To add the given quantities, we need to convert all the measurements to the same unit.
Let's convert all the milliliters (ml) to liters (L) and then add the volumes:
14L + 875ml = 14L + 875ml \(\times\) (1L/1000ml)
= 14L + 0.875L
= 14.875L
123L + 321ml = 123L + 321ml \(\times\) (1L/1000ml)
= 123L + 0.321L = 123.321L
12L + 70ml
= 12L + 70ml \(\times\) (1L/1000ml) = 12L + 0.07L = 12.07L
Now we can add the volumes:
14.875L + 123.321L + 12.07L = 150.266L
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What are the 8 parallel lines?
Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.
What is answer parallel line?
In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical.
Parallel lines are two lines in the same plane that are equal distance apart and never intersect.
Real-world parallel line examples include railroad tracks, sidewalk edges, street markings, zebra crossings, the surface of pineapple and strawberry fruit, staircases and railings, and so on.
Parallel lines are lines in a plane that never meet, no matter how far they are extended. The distance between the parallel lines is constant because they never meet.
Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.
these are 8 parallel lines
2x+3y = 6
2x+3y = 4
2x+3y = 1
2x+3y = 2
2x+3y = 3
2x+3y = 8
2x+3y = 7
2x+3y = 5
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PLS ANSWER ASAP!!!!! Which scatterplot suggests a linear relationship between x and y?
A) I only
B) I and IV only
C) I, II, and IV only
D) I, III, and IV only
Answer:
i think c isthe answér of it may be it is
Answer:
I and IV only
Step-by-step explanation:
I and IV only -- suggest a linear relationship between x and y.
A linear relationship has a line of best fit that can be drawn where most points are associated with the line.
Find x ÷ y, if x = 3 5/6 and y = 3 3/5 . Express your answer in simplest form.
Answer:
Step-by-step explanation:
convert 3 5/6 and 3 3/5 into a improper fraction
x=23/6 and y = 18/5
23/6 ÷ 18/5 multiply both sides by 6 to cancel it out
23 ÷ 108/5 multiply both sides by 5 to cancel it out
answer 115/108
Answer:
1 1/45
Step-by-step explanation:
You have a standard deck of 52 playing cards. you draw 2 cards without replacement. which action, performed before the draws, increases the probability of drawing 2 face cards in a row?
a. removing all of the black cards
b. removing all non-face cards
c. removing all kings
d. removing all of the red cards
Answer:
Bet $100 and remove all non-face cards.
Step-by-step explanation:
Each option may be answered on the basis of the ratio of face cards to non-face cards, which we'll say is R.
a. removing all of the black cards No. The vale of R does not change. R is the same for both black and red cards, so removing one color does not change R.
b. removing all non-face cards Yes. The only cards left are face cards. The odds of drawing 2 face cards in a row from this modified deck is 100%
c. removing all kings No. Face cards are being removed and will thus lower the probability of picking one.
d. removing all of the red cards No. Same reasoning as in (a.).
Sheila needs to spin a number greater than 2 to win. On the game spinner below, what is the probability of her winning?
Answer:
4
Step-by-step explanation:
I think I'm not sure but please let me know if it is helpful
Which algebraic expression has like terms? 9 n cubed minus 2 n + 3 minus 4 n squared 7 n cubed + 3 n minus 3 minus 6 n squared 7 n cubed + 4 n minus 3 n cubed minus 5 n squared 6 n cubed minus 4 n Superscript 4 Baseline + 6 n minus 5 n squared
Question
Which algebraic expression has like terms?
\(9n^3 - 2n + 3 - 4n^2\)
\(7n^3 + 3n - 3 - 6n^2\)
\(7n^3 + 4n - 3n^3 - 5n^2\)
\(6n^3 - 4n^4 + 6n - 5n^2\)
Answer:
A. \(9n^3 - 2n + 3 - 4n^2\)
B. \(7n^3 + 3n - 3 - 6n^2\)
Step-by-step explanation:
Given:
The above expressions
Required:
Expressions with like terms
Algebraic expressions are said to have like terms if and only if the have the equivalent exponents;
Like terms are dependent on the exponents and are independent on the sign of each terms.
Listing out the exponents of each options;
A. \(9n^3 - 2n + 3 - 4n^2\)
The exponents of n are 3 1 0 2
Rearrange: 0 1 2 3
B. \(7n^3 + 3n - 3 - 6n^2\)
The exponents of n are 3 1 0 2
Rearrange: 0 1 2 3
C. \(7n^3 + 4n - 3n^3 - 5n^2\)
The exponents of n are 3 1 3 2
Rearrange: 1 2 3 3
D. \(6n^3 - 4n^4 + 6n - 5n^2\)
The exponents of n are 3 4 1 2
Rearrange: 1 2 3 4
From the list of exponents above, only A and B are equal;
Hence, the following expressions have the like terms
A. \(9n^3 - 2n + 3 - 4n^2\) and B. \(7n^3 + 3n - 3 - 6n^2\)