Answer:
The mole ratio that will produce the most product is a/4b. This is because mole a is in excess and will have the most product possible, 4 moles of b for every 1 mole of a. This results in 4 moles of the product being produced. Hope this helped
What is the length of segment AE
If Figure A is R = 5 ft and Figure B is 2 ft and the Volume is 88 cu ft, so..
Whats the volume of Figure A?
Volume of figure A is 1375 cu ft
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
Given,
Figure A ~ Figure B
In Figure A R = 5.
In Figure B R = 2.
Scale factor between Figure A and Figure B = 5/2
Volume of B = 88 cu ft
πR²h = 88
π2²h = 88
h = 88/4π
h = 22/π
Height of figure A = 5/2×height of figure B
Volume of figure A
= πR²h
= π5²×5/2×22/π
= 125 × 11
= 1375 cu ft
Hence, 1375 cu ft is volume of figure A.
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juwan left his house and rode his bike into town at 6 mph. along the way he got a flat so he had to turn around and walk his bike back to his house traveling 3 mph. if the trip down and back took 18 hours, how far did he get before his tire went flat?
Juwan travelled distance of 36 miles from his home before his tire went flat.
Explain the relation of time and distance?Distance is inversely correlated with time.
It implies that speed is constant and that time is directly related to distance if two vehicles are going over different distances for different amounts of time. Distance and speed are inversely proportional.Distance = rate*time
d = rt
into town: d = 6t
back home: d = 3(18-t)
As the distance equal to d.
6t = 3(18-t)
6t = 54 - 3t
6t + 3t = 54
9t = 54
t = 6 hours.
So, the distance;
d = 6*6 = 36 miles
Thus, Juwan travelled 36 miles from his home before his tire went flat.
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Two-Step Equation
solve for x
Answer:
x=-91
Step-by-step explanation:
So to solve, 42= -x/7+29 we first have to simplify both sides:
42= -1/7x+29
Then we have to flip the equation:
-1/7x+29=42
Okay so now we subtract 29 from both sides:
-1/7x=13
Now we Multiply both sides by 7/(-1)
And your final answer is = -91
To check input x:
42=-91/7+29
and you end up with 42
42=42
so its correct
the bear population in a given area is increasing at a rate of 2% per year. the population is currently about 1580. if this trend continues what is the predicted population after 8 years?
Using Compound Interest, The population of bears would be 1851 after 8 years with 2% increase every next year.
Compound interest is defined.
Savings interest that is calculated on both the principal and the interest accrued over the course of prior periods is called compound interest. The monthly compound interest formula is used to get the compound interest every month. The formula for compound interest is as follows: CI = P(1 + (r/12)). 12t - P, where t is the passing of time, P is the total amount of the principal, and r is the interest rate in decimal form.
Formula: Amount = P(1+r/100)ⁿ
where, P is principle
r is rate of increase in the given time period
n is time in years
Given that,
P = 1580
r = 2%
n = 8 years
∴ Population of bear = 1580(1 + 2/100)⁸
= 1580(1+0.02)⁸
= 1580(1.02)⁸
= 1580(1.171)
= 1851
Thus, the population of bears would be 1851 after 8 years.
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make the calculation correct something - 13.2 =200
13.2% of 200 would be 26.4
What is a Percentage?A percentage is a figure or ratio stated as a fraction of 100 in mathematics. It is frequently represented by the percent sign, "%".
A percentage is a dimensionless number; it has no unit of measurement
13.2% of 200 would be:
13.2% is represented as:
13.2/100
Thus, 13/100 * 200 would be 26.4
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13.2% of 200 = ?
What is 13.2 percent of the number 200
16) show all ur equation steps
The system of equations has unique solution (4, -17).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are y=-6x+7--------(I) and 4x+3y=-35 --------(II).
Substitute equation (I) in equation (II0, we get
4x+3(-6x+7)=-35
4x-18x+21=-35
-14x=-56
x=4
Substitute x=4 in equation (I), we get
y=-6(4)+7
y=-24+7
y=-17
So, solution is (4, -17)
Here, a₁=6, b₁=1, c₁=-7
a₂=4, b₂=3 and c₂=35
Now, 6/4 = 1/3
3/2≠1/3
Equations has unique solution (Intersecting lines)
Therefore, the system of equations has unique solution (4, -17).
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Rewrite f(t) = 0.4 * (1.16) ^ (t - 1) in the form y=a(1+r)^ prime .y=a(1-r)^ prime to determine whether it represents exponential growth or exponential decay Round a and to the nearest hundredth if necessary
Answer:
y = -0.916 * (1 - 0.140)^t
Step-by-step explanation:
f(t) = 0.4 * (1.16)^(t - 1)
To rewrite the equation in the form y = a(1 + r)^prime or y = a(1 - r)^prime, we can take the natural logarithm of both sides:
ln(f(t)) = ln(0.4) + (t - 1)ln(1.16)
ln(f(t)) = ln(0.4) + tln(1.16) - ln(1.16)
So,
y = ln(0.4) + tln(1.16)
Now we can rewrite this in the desired form by letting a = ln(0.4) and r = ln(1.16):
y = a + t * r
a = ln(0.4) = -0.916
r = ln(1.16) = 0.140
So,
y = -0.916 + 0.140 * t
y = -0.916 * (1 - 0.140)^t
This form of the equation shows that the function f(t) represents exponential decay. The value of "a" represents the initial value of f(t) and "r" represents the decay rate. Since r is negative, the function decreases over time, which means that the function represents exponential decay.
3/5+3/5 negative or positive
Answer:
positive
Step-by-step explanation:
3/5 + 3/5 = 6/5 positive
The polling results show the ratio of votes for Candidate A to Candidate B.
Candidate A Candidate B
8 14
12 21
20 35
32 ?
At this rate, if Candidate A received 32 votes, how many votes did Candidate B receiver
ANSWER OPTIONS
36
50
54
56
The number of votes received by Candidate B is given as follows:
56 votes.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
The input and output variables for this problem are given as follows:
Input: number of votes received by Candidate A.Output: number of votes received by Candidate A.Hence the constant of the relationship is given as follows:
k = 35/20
k = 1.75.
Meaning that the equation is given as follows:
y = 1.75x.
If Candidate A received 32 votes, the number of votes received by Candidate B is given as follows:
y = 1.75 x 32
y = 56 votes.
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Answer:
56
Step-by-step explanation:
took test
How much do you have to pay for the jacket?
Answer: $1,393.00
Step-by-step explanation:
1. The area of the circular base of a cone is 9π cm², and the slant height of the cone is four times the radius of the cone.
What is the approximate lateral area of the cone?
Use π≈3.14.
Enter your answer rounded to the nearest whole number in the box.
2. Three large cones hang from the ceiling in an office building in front of a bank of windows. The height of each cone is 12 feet and the circumference of the base of each cone is 8π feet. The base and 70% of the lateral surface of each cone is painted red, and the rest of each cone is painted black.
What is the total surface area painted black? Use π≈3.14.
Enter your answer, rounded to the nearest tenth, in the box.
If the area of the circular base of a cone is 9π cm². lateral area of the cone is 36π cm² and the the total surface area painted black is approximately 43.2π square feet.
How to find the lateral area and total surface area?1. Let's call the radius of the circular base "r". The area of the circular base is 9π, so:
r² = 9
r = 3
Since the slant height is four times the radius, the slant height is 4 * 3 = 12.
The lateral area of a cone can be calculated using the formula:
A = π * r * l
Where:
r = radius
l = slant height
Plugging in the values, we get:
A = π * 3 * 12
A = 36π
2. Let's call the radius of each cone "r" and the circumference of the base of each cone is 8π, so:
2 * π * r = 8π
r = 4
The lateral surface area of a cone can be calculated using the formula:
A = π * r * l
Where:
r = radius
l =slant height
Plugging in the values, we get:
A = π * 4 * 12
A = 48π
Since 70% of the lateral surface area is painted red, 30% is painted black. So, the total surface area painted black for each cone is:
0.3 * 48π
= 14.4π
And the total surface area painted black for all three cones is:
3 * 14.4π
= 43.2π
Therefore the approximate lateral area of the cone is 36π cm² and the total surface area painted black is approximately 43.2π square feet.
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a woman whose mother is colorblind and whose father has hemophilia a is pregnant with a boy. what is the probability that her son will have normal vision and normal blood clotting? enter as a probability value between 0 and 1.
The required probability of the son with normal vision is 0.50 and for the normal blood clotting is 0.
If mutations is present on one of the X chromosome then it is capable of developing the condition which is called X-linked disorder.Generally men are affected by this disorder because they carry one copy of the X chromosome.If women carry one copy of the chromosome, then it is consider that they are carriers of disease and if they have both the copies affected then they are affected by disorder.Colorblind woman with a normal man is in position to produce 2 carrier females and 2 males colorblind.In the condition of a carrier woman with colorblindness marries a hemophilic man, progeny mentioned below phenotypes are produced:Parent phenotype Carrier woman
Affected man (Hemophilic) (colorblindness)
Parents X^h Y XX^C
Gametes X^h, Y X, X^C
Progeny X X^h X^C X^h X^C Y, XY
Total outcome = 100
Favourable outcomes for a son with normal vision is= 50
Probability of a son with normal vision = 50/100
= 0.50
probability of a son with normal blood clotting = 0 / 100
= 0
Therefore, the probability of the son with normal vision and normal blood clotting is 0.50 and 0 respectively.
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Do you think the line on the graph in problem 1 is a good one for this scatter plot? Explain your answer.
The line created is a good representation of a line of best fit
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we can see that the line divides the points on the line evenly
A good line of best fit would have approximately equal number of points on either sides
Hence, the line is a good representation
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Solve the following problems using the quadratic formula
The roots of the quadratic equation, x²+4x+1=0, are x = -2+√3 or -2-√3
What is the quadratic formula?The quadratic formula is a formula that provides the solution(s) to a quadratic equation.
Quadratic formula :-
x = -b±√b²-4ac / 2a
Given that, a quadratic equation, x²+4x+1=0, we need to solve it by using quadratic formula,
Quadratic formula :-
x = -b±√b²-4ac / 2a
Here, a = 1, b = 4 and c = 1
Therefore,
x = -4±√4²-4×1×1 / 2
x = -4±√16-4 / 2
x = -4±√12 / 2
x = -4±2√3 / 2
x = -2±√3
Therefore, x = -2+√3 or -2-√3
Hence, the roots of the quadratic equation, x²+4x+1=0, are x = -2+√3 or -2-√3
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The question was incomplete, so I solved for,
Solve the following quadratic equation by using quadratic formula method: x²+4x+1=0
I'm quite confused on this question. (will thanks and rate!)
poker hand, consisting of five cards, is dealt from a well-shuffled standard deck (no joker cards). find the probability that the hand contains the cards described.
The probability of getting a specific poker hand, consisting of five cards, dealt from a well-shuffled standard deck (no joker cards) can be found by using combinations and permutations.
The number of ways to choose five cards from a deck of 52 is given by the combination formula :
C(52,5) = 2,598,960
To find the number of ways to get a specific hand, we need to consider the number of ways to arrange the cards in that hand, which is given by the permutation formula :
P(5,5) = 5!.
For example, to find the probability of getting a straight flush, which is five cards of the same suit in numerical order, there are 4 possible suits, and 10 possible ways to get a straight (A, 2, 3, 4, 5; 2, 3, 4, 5, 6; ...; 9, 10, J, Q, K).
Therefore, the probability of getting a straight flush is:
4 * 10 / C(52,5) = 0.00139.
To find the probability of other hands, such as a flush, a full house, etc., we need to follow a similar process of counting the number of ways to get that hand and divide it by the total number of possible hands.
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What number represents an elevation of 735 feet below sea level?
Answer: -735
Step-by-step explanation:
735 feet below sea level is just 735 below 0, so -735 :)
In the diagram,
1. Describe the relationship between
2. Write an equation for the angle relationship and solve for x.
3. Check your solution to the equation.
4 What is the measure of
Answer:
1. angle BAC and angle CAD are a linear pair. This means they both angle measures add up to 180 degrees.
2. 180= x + 132
3. 132+48 = 180
4. Angle BAC= 48 degrees.
Step-by-step explanation:
2. To solve for x, subtract 132 from both sides.
Shopping at savers mart, Lisa buys her children four shirts and three pairs of pants for $85.50. She returns the next day and buys three shirts and five pairs of pants for $115.00. What is the price of each shirt and each pair of pants?
Cost of 1 shirt=$7.5 and 1 pant cost=$18.5
What are linear equations?A linear equation is an equation where the optimal strength of the variables is usually unity. 1 Diploma Also known as the equation. The trend form of a single-variable linear equation is of the form Ax + B = 0. where x is a variable, A is a coefficient, and B is a constant. The trendy form of linear equations in variables is of the form Ax + By = C. where x and y are variables, A and B are coefficients, and C is a constant.
Now for the given Question:
Let the cost of shirt and pant be x and y respectively.
Then the linear equations will be;
3x+5y=115 (1)
4x+3y=85.5 (2)
Now we will balance the coefficient of x in both the equation so
multiplying equation 1 and 2 with 4 and 3 respectively then the equations become,
12x+20y=460 (3)
12x+9y=256.5 (4)
subtracting equation 4 from 3 we get
11y=203.5
y=203.5/11
y= $18.5
substituting above value of y in equation 1 we get
4x+5*18.5=85.5
4x+55.5=85.5
4x=85.5-55.5
4x=30
x=30/4
x=$7.5
Hence cost of shirt and pant are $7.5 and $18.5 respectively.
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a pizza provides 8 grams of fat and 300 total calories in one slice. what is the percentage of calories as fat in this pizza slice? hint: use the formula: (no.of calories from fat / total calories) x 100
The 24% of the calories in one slice of pizza come from fat.
To find the percentage of calories from fat in one slice of pizza, we use the formula:
(Calories One gram of fat provides 9 calories, so 8 grams of fat provide 8 x 9 = 72 calories.
Therefore, the percentage of calories from fat in one slice of pizza is:
(72 / 300) x 100 = 24%
Calories are units of energy that a food or drink produce. we can normally find calorie numbers listed on food items, and wearables like the best fitness trackers allow you monitor how many calories you are burning by doing different activities.
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please help me with this question
Answer:
angle 4 is 44°
Step-by-step explanation:
180-93=87 (straight line)
180-49-84=44 (triangle)
How does the human ear canal is on average 2.5 cm long and aids in hearing?
In conclusion, the length and structure of the human ear canal affect hearing by amplifying specific frequencies of sound and shielding the inner ear from strong sounds.
What is length?The measurement or expanse of something from end to end is defined as length. In other terms, it is the greater of the two or the highest of three geometrical forms or objects' dimensions. A rectangle, for example, has length and width dimensions.
Here,
The human ear canal is 2.5 cm long on average, and its form and length are crucial in hearing. Sound waves enter the ear canal and are directed towards the eardrum, which vibrates. These vibrations are subsequently conveyed to the middle ear bones, which enhance and transport the sound to the inner ear. The length and structure of the ear canal aid in the amplification of some frequencies of sound over others, a phenomenon called as resonance. This resonance improves the ear's capacity to detect particular sounds, such as speech, and makes them easier to hear.
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The number 125 is a term of the sequence defined by the explicit rule f(n) = 3n + 2. Which term in the sequence is 125? Show all steps and reasoning.
The number 125 is a 41st term of the sequence defined by the explicit rule f(n) = 3n + 2.
What is an arithmetic sequence?A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
Given:
The sequence defined by the explicit rule,
f(n) = 3n + 2.
The number 125 is a term of the sequence.
To find the term,
125 = 3n + 2
3n = 123
n = 41
Therefore, the term is 41.
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In general, which of the following is the least appropriate measure of central tendency for data sets that contain outliers?
a. mean
b. median
c. mode
The mean is the least appropriate measure of central tendency for data sets that contain outliers.
The correct option is a.
What is the mean?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
Given:
These numbers, which were determined from the ranking data, are not affected by outliers.
In contrast, the mean is determined by utilizing all the data.
Additionally, mean is sensitive to outliers.
Therefore, if the data set contains outliers, the mean is the least suitable measure of central tendency.
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Which is written in slope-intercept form?
y=x²+3x-7
y-4=2(x+7)
2x-4y=15
y=2x-5
Work out £1.25 as a fraction of 50p
A 2/5 B 4/1
C
5/2
D 1/4
Answer:
C
Step-by-step explanation:
test taking strategy:
1.25 is bigger than 50p
so any fractions with top smaller than bottom is wrong
so eliminate A and D
B & C remaining
B = 4
4*50p = 2 pounds, so it's wrong
C is right.
double check:
1.25 / 50 = 2.5 = 5/2 correct
What is the slope of the line that passes through the points ( 1 , − 9 ) (1,−9) and ( 4 , − 7 ) (4,−7)? Write your answer in simplest form.
1. Carlie used a
coupon and paid $9.99
for pizza that
normally costs
$14.99. What is the
percent of change?
well, the change is just 14.99 - 9.99 = 5 bucks.
now, the change in relation to the original price, that is 14.99(origin amount) which is the 100%, what is 5 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 14.99 & 100\\ 5& x \end{array} \implies \cfrac{14.99}{5}~~=~~\cfrac{100}{x} \\\\\\ 14.99x=500\implies x=\cfrac{500}{14.99}\implies x\approx 33.36[/tex]
please Solve for X
ASAP