Tom first makes an error in step 4.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
3,912 ÷ 12
12 ) 3912 ( 326
36
312
240
72
72
0
Step 1.
There are 300 12s in 3,912
Step 2.
3,912 − 3,600 = 312
Step 3.
There are 20 12s in 312
Step 4.
312 − 240 = 72
Step 5.
There are 7 12s in 72
Step 6.
72 − 72 = 0
Step 7.
Quotient = 300 + 20 + 7 = 326 with a remainder of 0
Thus,
Step 4 is an error.
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consider the initial value problem find the value of the constant and the exponent so that is the solution of this initial value problem. help (formulas) determine the largest interval of the form on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution. help (inequalities) what is the actual interval of existence for the solution (from part a)? help (inequalities)
To find the value of the constant and the exponent so that is the solution of this initial value problem, you need to solve the differential equation, which can be written in the form y' + p(x)y = q(x).
To determine the largest interval of the form on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution, you need to ensure that the coefficients p(x) and q(x) are continuous on the interval and that p(x) does not change sign on the interval. The actual interval of existence for the solution is from the lower bound of the given interval to either the upper bound of the given interval or the point where p(x) changes sign.
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find the product and list the unit of 8hx$9/h
The product is equivalent to $72 and its unit is $
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
The rate,
8hx$9/h
In simple words,
$9 per hour for 8 hours.
Now, for 1 hour, the cost is $9.
Therefore, for 8 hours,
It can be written as -
x = 9 x 8
x = $72
Hence, the product is equivalent to $72.
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Part A Joseph runs 4 miles on Monday. Each day after that he runs the same 2 mile route every morning. His goal is to run at least 10 miles by the end of the week. What inequality represents the least number of days after Monday that Joseph needs to run to reach his goal
Part B what is the least number of days after Monday that Joseph needs to run to reach his goal
Answer: 2x + 4mi >=10 , 3
Step-by-step explanation:
x=days after monday
Since Joseph ran 4 miles the first day, that number stays constant. The 2miles depends on the amount of days he runs for so that is the coefficient. Atleast means greater than or equal to. Using the inequality, we can solve that x >= 3.
2x+4>=10
-4 -4
2x>=6
/2 /2
x>=3
Solve for y.
45-45-90
Please helpl
Answer:
y = 12
Step-by-step explanation:
I believe that you can use the geometric mean theorem to solve for y
y is the geometric mean of the segments of the hypotenuse, so
24/y = y/6
simplify using means and extremes property: y^2 = 144
simplify: y=12
don’t understand this.
Answer:
see explanation
Step-by-step explanation:
3
(f + g)(x)
= f(x) + g(x)
= 2x² - 4x - 5 + 3x - 13 ← collect like terms
= 2x² - x - 18
4
(f - g)(x)
= f(x) - g(x)
= 2x² - 4x - 5 - (3x - 13) ← distribute parenthesis by - 1
= 2x² - 4x - 5 - 3x + 13 ← collect like terms
= 2x² - 7x + 8
suppose , the number of cases of a disease, is reduced by 7% per year. for each of the following, give an exact expression for your answer. do not include commas in your answers. if there are initially 10,000 cases, express as a function of , the number of years elapsed. how many cases will there be 4 years from now? cases. how long does it take to reduce the number of cases to 1000?
If number of cases of a disease is reduced by 7% every year and there are initially 10000 cases, then "y" as a function of "t" is expressed as y=10000×(1 - 0.07[tex])^{t}[/tex] .
the number of cases of a disease is reduced = 7% per year,
so , the rate of change can be expressed as a negative 7%.
The function "y" ,which represents number of cases of disease after "t" years, can be expressed as:
⇒ y = 10000×(1 - 0.07[tex])^{t}[/tex] ;
where ; t = number of years elapsed and
⇒ (1 - 0.07) represents the factor by which number of cases decreases each year.
This equation gives the number of cases of the disease after "t" years, assuming that the 7% reduction rate remains constant over time.
The given question is incomplete , the complete question is
Suppose , the number of cases of a disease, is reduced by 7% per year , if there are initially 10,000 cases, express "y" as a function of "t" , the number of years elapsed ?
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a sample of customers is taken and their mean grocery receipt is calculated. it is determined that there is a 97% chance that the mean of their receipts is less than $38. determine the sample size that was taken.
This cannot be determined with the information given. To calculate the sample size, we would need to know the population means, the population standard deviation, and the confidence interval.
The confidence interval is 97%, which is the likelihood that the mean of the receipts is less than $38. We can use this information to calculate the margin of error and then use this to calculate the sample size. The margin of error is calculated by taking the critical value (in this case, 1.96) and multiplying it by the standard deviation of the population. We then divide this by the square root of the sample size to get the margin of error.
Once we have the margin of error, we can then calculate the sample size by taking the population means minus the margin of error and dividing this by the desired confidence interval. In this case, the desired confidence interval is 97%. Therefore, without the population means, standard deviation, and confidence interval, it is impossible to calculate the sample size.
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The diameter of a cone's circular base measures 10 inches, and the slant height of the cone is 8 inches.
What is the approximate surface area of the cone?
Responses
The approximate surface area of a cone is 204 inches².
What is a cone?It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.
We have,
The surface area of a cone is πr (r + √(h² + r²) )
Now,
Diameter = 10 inches
Radius = 5 inches
Slant height = 8 inches
Now,
The surface area of a cone is πr (r + √(h² + r²) )
Slant height = √(h² + r²) = 8 inches
So,
= πr (r + √(h² + r²) )
= π x 5 (5 + 8)
= 3.14 x 5 x 13
= 204 inches²
Thus,
The surface area of a cone is 204 inches².
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The approximate surface area of the cone is 227 square inches.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The diameter of a cone's circular base measures 10 inches
Radius of cone is 5 inches.
Slant height = 8 inches
A=πr(r+√h²+r²)
A=3.14×5(5+√64+25)
A=3.14×5(5+√89)
A=3.14×5(5+9.43)
A=3.14×5(14.43)
A=226.61
Hence, the approximate surface area of the cone is 227 square inches.
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Solve for x pleaseeee
The values of x = 10√3 derived using the trigonometric ratio of cosine.
What are trigonometric ratiosThe trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.
Considering the larger acute angle, if we represent it by θ then for the bigger right triangle with adjacent x and hypotenuse 30;
cosθ = x/30
for the smaller right triangle with adjacent 30 - 20 = 10 and hypotenuse x
cosθ = 10/x
x/30 = 10/x
x² = 300 {cross multiplication}
x = √300 {take square root of both sides}
x = √100 × √3
x = 10√3.
Therefore, the values of x = 10√3 derived using the trigonometric ratio of cosine.
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according to chebyshev's theorem, at least what percent of any set of observations will be within 1.8 standard deviations of the mean? (round your answer to the nearest whole percent.)
According to Chebyshev's theorem, at least 69 percent of any set of observations will be within 1.8 standard deviations of the mean.
Standard deviations of the mean = 1.8 s
According to Chebyshev's theorem at least (1 - 1/k^2)×100% observations will lie within k standard deviation from the mean.
The proportion of observations that will be within 1.8 standard deviations of the mean = (1 - 1/(1.8)^2)×100%
The proportion of observations that will be within 1.8 standard deviations of the mean = (1 - 1/3.24)×100%
The proportion of observations that will be within 1.8 standard deviations of the mean = (1 - 0.31)×100%
The proportion of observations that will be within 1.8 standard deviations of the mean = 0.69 × 100%
The proportion of observations that will be within 1.8 standard deviations of the mean = 69%
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a tank contains 20 kg of salt dissolved in 5000 liters of water. brine that contains 0.03 kg of salt per liter of water enters the tank at a rate of 25 l/min. the solution is kept thoroughly mixed and drains from the tank at the same rate. how much salt remains in the tank after 30 minutes?
After 30 minutes, the amount of salt remaining in the tank is 18.75 kg. This is because the brine entering the tank contains 0.03 kg of salt per liter of water, and 25 liters of brine are entering the tank every minute.
Thus, in 30 minutes, 750 liters of brine will have entered the tank, bringing with it 22.5 kg of salt. Since the tank initially contained 20 kg of salt, the amount of salt remaining after 30 minutes is 18.75 kg.
The theory behind the amount of salt remaining in the tank after a given amount of time is based on the idea that the amount of salt entering the tank is equal to the amount of salt leaving the tank. The amount of salt entering the tank is determined by the concentration of salt in the brine solution and the rate at which the brine enters the tank. The amount of salt leaving the tank is determined by the same rate at which the brine enters the tank.
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a particular city is serviced by three airlines for its passenger traffic. airline a carries 50% of the passengers, airline b 30%, and airline c the remaining 20%. each of the airlines is responsible for handling its security. the probabilities that a passenger carrying some type of weapon will be detected by airlines a, b, and c are 0.9, 0.5, and 0.4, respectively. if a weapon was detected on a passenger, what is the probability that airline b detected it?
The probability that airline b detected it will be 0.22.
The probability that airline B detected the weapon can be calculated using Bayes' Theorem, which states that:
P(airline B detected the weapon | weapon detected) = P(weapon detected | airline B detected the weapon) * P(airline B) / P(weapon detected)
where P(airline B) is the prior probability that a passenger was serviced by airline B (30%) and P(weapon detected) is the total probability that a weapon was detected (sum of the probabilities that a weapon was detected by each airline).
The numerator can be calculated as P(weapon detected | airline B detected the weapon) * P(airline B) = 0.5 * 0.3 = 0.15.
The denominator can be calculated as the sum of the probabilities that a weapon was detected by each airline, weighted by their respective prior probabilities:
P(weapon detected) = P(weapon detected | airline A detected the weapon) * P(airline A) + P(weapon detected | airline B detected the weapon) * P(airline B) + P(weapon detected | airline C detected the weapon) * P(airline C)
= 0.9 * 0.5 + 0.5 * 0.3 + 0.4 * 0.2
= 0.45 + 0.15 + 0.08
= 0.68
Finally, the answer is P(airline B detected the weapon | weapon detected) = 0.15 / 0.68 = 0.22.
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03
!!!
!!!
In the figure below, m/LJK= 38° and m/KLJ= 71°.
What is m/JKH?
OA. 19°
OB. 90°
OC. 9°
OD. 39°
H
L
K
Note: picture not drawn to scale
The measure of the angle JKH is 19 degrees
How to determine the measure of JKHThe complete question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
m/LJK= 38° and m/KLJ= 71°.
Start by calculating the external angle of JKL
So, we have
External = LJK + KLJ
External = 38 + 71
External = 109
The measure of angle JKH is then calculated using:
JKH + 90 = External
This gives
JKH + 90 = 109
Evaluatet the like terms
JKH = 19
Hence, the angle has a value of 19 degrees
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research findings from a human clinical trial study on high blood pressure treatments in older adults were just published in a research journal. figure 1, a box-whisker plot, reports the mean blood pressure levels of the subjects after six weeks of treatment on placebo medication, treatment a, or treatment b. what information is important to include on the box-whisker plot?
P-values that are precise serve as a measure of statistical significance is important to include on the box-whisker plot.
In a clinical trial, research is conducted on human participants (sometimes known as volunteers) with the goal of advancing medical knowledge.
Clinical trials also known as interventional studies and observational studies are the two primary categories of clinical research. Medical products, such as medications or gadgets, surgeries, or adjustments to participants' behavior, including dietary changes, can all be considered treatments.
The null hypothesis should be rejected if the p-value is less than 0.05, which is commonly regarded as statistically significant. The null hypothesis is not rejected if the p-value is greater than 0.05 since it indicates that the divergence from the null hypothesis is not statistically significant.
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calculate the area of trapezium whose parallel sides are of length 19 cm and 21 cm while the distance between them is 14 cm.
Answer:
The area of a trapezium with parallel sides of length 19 cm and 21 cm, and a distance of 14 cm between them, is 280 square cm.
Step-by-step explanation:
Leila works in retail and is paid $290.00 per week, plus 3% on all sales over $500.00.
During one week, her total sales were $960.00. Find her gross earnings. (4 points)
The number of hours worked multiplied by the hourly wage of an employee is how gross wages for hourly workers are determined is 318.8
What is meant by gross earnings?Employees' gross pay is their salary before any payroll deductions such as taxes, benefits, and other expenses are made. Net pay, often known as take-home pay, is the amount that is left over once all withholdings have been taken into account.
Here,
Given :
=> 290
=> interest = 3% of 500
=> 960 * 3/100 = 28.8
=> 28.8 + 290 = 318.8
The total amount of money a person makes each year, whether they work or invest, is their gross income. In the case of a self-employed person, earned income is restricted to salaries, commissions, bonuses, and business income after deducting expenses.
The total of your earnings at a certain employment before deductions is your gross salary. Before any deductions from your pay are made, this is often listed at the top of your pay slip.
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Which rate is the best deal on a box of cereal? Hint: Think about which deal is the cheapest. Answers include (A.$3.20 for 20 ounces B.$4.50 for 25 ounces C.$5 for 40 ounces) (no need to help anymore)
Answer: C; $5 for 40 ounces
Step-by-step explanation: To find the lowest cereal amounts, we need to find the unit price. To find the unit price, you ALWAYS divide the price by the amount. In this case, we need to divide the money by the ounces. So, the prices for each (in cents) are:
[tex]\frac{3.20}{20} = 0.16[/tex]
[tex]\frac{4.50}{25} = 0.18[/tex]
[tex]\frac{5}{40}[/tex] ≈ 0.13 (0.125)
So, the decimals are the prices (in cents) and the last one was 0.125, but we need to round up to the nearest cent. This would be $0.13. This makes the 40 ounces of cereal for $5 the cheapest of the 3 deals. I hope this helped!
The side of a cube measures 2x+1 units long. Express the volume of the cube as a polynomial.
The volume of the cube as a polynomial is 8x³ + 12x² + 6x + 1.
What is the volume of the cube as a polynomial?The volume of a cube is expressed as;
V = a³
Where a is the side of the cube.
Given that;
Side of the cube a = 2x + 1Volume V = ?Plug the given value into the above equation and simplify.
V = a³
V = ( 2x + 1 )³
Expand using FOIL method
V = ( 2x + 1 )( 2x + 1 )( 2x + 1 )
V = ( 2x( 2x + 1 ) + 1( 2x + 1 ) )( 2x + 1 )
V = (4x² + 4x + 1 )( 2x + 1 )
V = 2x(4x² + 4x + 1 ) + 1(4x² + 4x + 1 )
V = 8x³ + 8x² + 2x + 4x² + 4x + 1
Collect and add like terms
V = 8x³ + 12x² + 2x + 4x + 1
V = 8x³ + 12x² + 6x + 1
Therefore, the volume is 8x³ + 12x² + 6x + 1.
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helppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
5
Step-by-step explanation:
Hope it helps! =D
Question 1 of 25
You can access your funds easier if your account has________ liquidity.
A. less
B. more
Answer: if your account has more liquidity
Answer:
О B. more
Step-by-step explanation:
You can access your funds easier if ypur account has more liquidity.
...
copy the probloem mark the givens in the diagram and write a statement reason proof if SA ∥ NE , SE ∥ NA , prove SA ≅ NE . WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
The angle bisectors of are , , and . They meet at a single point .
(In other words, is the incenter of .)
Suppose TV=22, CV=27, TCU=52, SAV=46 and .
Find the following measures.
Note that the figure is not drawn to scale.
The measure of∠SAU = 92°,
SV = 22, ∠SBV = 18°.
What are triangles?A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is that the sum of its internal angles to 180 degrees. This quality is referred to as the angle sum property of triangles.
Given a triangle ABC
and AV, BV, and CV are angle bisectors,
TV = 22 and CV = 27
∠TCU = 52°, ∠SAV = 46°
A: to find ∠SAU,
as we know angle bisector divides an angle into two equal parts,
so ∠SAV = ∠VAU = 46°
∠SAU = ∠SAV + ∠VAU
∠SAU = 46 + 46 = 92°
B: to find ∠SBV,
we have ∠SAU = 92° and ∠TCU = 52°
from angle sum property,
∠SAU + ∠TCU + ∠SBT = 180°
∠SBT + 92 + 52 = 180
∠SBT = 180 - 92 - 52
∠SBT = 36°
so ∠SBV = ∠BVT = ∠SBT/2 (due to angle bisector)
∠SBV = ∠BVT = 36/2
∠SBV = ∠BVT = 18°
C: to find SV,
since V is the incenter, Due to the junction point of the central axis being the center of the triangle's inscribed circle, this point will be equally spaced from each of the triangle's sides.
so TV = UV = SV = 22
Hence ∠SAU = 92°,
SV = 22,
∠SBV = 18°
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A survey asked a random sample students if they estimated they spent more or less than an hour a day on social media.
The percentage of 7th graders students that spend less than an hour a day on social media is 51.8%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
7th graders:
Number of students that spend less than an hour = 29
Number of students = 56
The percentage of students that spend less than an hour.
= 29/56 x 100
= 51.785
= 51.8 %
Thus,
The percentage of students that spend less than an hour is 51.8%.
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the freshmen want to plan a party for June to celebrate the big accomplishment of surviving their first year. they have to decide if they are going to order pizza from pizza hut or Hungry Howies. pizza hut charges a 10 delivery fee, plus 5 for each large pizza. alternately hungry Howies charges a 15 delivery fee plush 4.50 for each large pizza
The two equations representing the costs are 10 + 5x and 15 + 4.5x.
What are the three types of solutions for a system of linear equations?If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.
There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.
Let, 'x' be the number of pizzas.
Therefore, From the given information the two linear equations we can form is, 10 + 5x and 15 + 4.5x.
As the delivery charges for both the stores is a constant.
We can determine the number of pizzas when the cost for both options would be the same by equating these two equations.
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please help me,
will give 50 points
The equivalent value of sin{D} is -
sin{D} = √13/10.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is a right angled triangle.
In the given right angle triangle, we can use the Pythagoras theorem as -
{FD}² = {√13}² + {√87}²
{FD}² = 13 + 87
{FD}² = 100
FD = 10
So, we can write that -
sin{D} = √13/10
Therefore, the equivalent value of sin{D} is -
sin{D} = √13/10.
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David watched 1 2 of a movie in the morning, and he watched some more at night. By the end of the day, he still had 1 3 of the movie left to watch. How much of the movie did David watch at night?
Answer:
1/6
Step-by-step explanation:
1-1/2 = 1/2
night = x
1/2 - x = 1/3
3/6 - x = 2/6
so x = 1/6
List any four keywords that are used in Qbasic
HELP ASAP PLS WILL GIVE BRAINLIEST
Answer:
SAS because you have two congruent sides surrounding one congruent angle
Help me I really need help
All of the y-values are not a constant multiple of the corresponding x-values, so the relationship is not a proportional relationship.
What is a proportional relationship?In Mathematics, a proportional relationship is a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:
y = kx
Where:
k is the constant of proportionality.y and x represent the variables in a proportional relationship.Next, we would determine the constant of proportionality (k) for the relationship between the x-values and y-values in this table as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 3/1 ≠ 5/2 ≠ 6/3
Since the constant of proportionality (k) for the relationship between the x-values and y-values are different, we can logically deduce that this is not a proportional relationship.
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south carolina makes license plates with the configuration digit, letter, digit, letter, digit, digit. how many different license plates can south carolina produce?
South Carolina can produce 26x26x10x10x10 = 676,000 different license plates with the configuration digit, letter, digit, letter, digit, digit.
Permutations are arrangements of objects in a specific order. For example, if you have the letters A, B, and C, the possible permutations are ABC, ACB, BAC, BCA, CAB, and CBA. Permutations are often used to calculate the total number of possible combinations for a given set of objects, as each permutation is a unique combination. For example, if you have three letters and three digits, the total number of permutations is 26x10x10x26x26x10 = 17576000.
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