John has the greater total change in the amount of detergent in their bottle.
Given that, Brenda pours laundry detergent from a bottle into the cap and then into the washing machine.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Every time she fills the cap, the amount of detergent in the bottle changes by -0.26 L. She fills the cap 314 times in all.
Now, the volume of bottle =314×0.26
= 81.64
≈ 82 L
Every time he fills his cap, the amount of detergent in his bottle changes by -0.21 L. He fills his cap 256 times in all.
Here, the volume of bottle =256×0.21
= 53.76
≈ 54 L
Hence, John has the greater total change in the amount of detergent in their bottle.
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Let g(x)=x²-5 and h(x) = 3x + 2. Find (hog)(x)
The value of the composite function is (hog)(x) = 3x²- 13.
What is a composition function?
Function composition is an operation used in mathematics that takes two functions, f, and g, and creates a function, h = gof, such that h(x) = g. The function g is applied in this operation on the outcome of applying the function f to x.
The functions are g(x)=x²-5 and h(x) = 3x + 2
The composition function (hog)(x) can be written as (hog)(x) =h(g(x))
Putting g(x)=x²-5 in (hog)(x) =h(g(x)):
(hog)(x) =h(x²-5)
Now putting x= (x²-5) in h(x) = 3x + 2:
h(x²-5) = 3(x² - 5) + 2
h(x²-5) = 3x² - 15 + 2
h(x²-5) = 3x² - 13
Therefore (hog)(x) = 3x² - 13.
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a student was marked tardy five different time in a 40 day period. What percent of the times was the student tardy
Answer:
12.5%
Hope this helps!
Answer:
The percentage of times the students marked will be 12.5%.
Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
A student was marked tardy five different times in a 40-day period.
Percentage of 5 among 40 →
(5/40) x 100 = 12.5%
One brand of orange juice is sold in four different sizes. The 8 ounce carton costs $0.99. The 48-ounce carton costs $2.49. The 64-ounce carton costs $3.75. Which size is the Best Buy? Explain how you determine your answer
(05.01)
The graph below shows a system of equations:
The x-coordinate of the solution to the system of equations is
The x-coordinate of the solution to the system of equations plotted is -2
How to find the x-coordinate of the solution to the system of equationsThe x-coordinate of the solution to the system of equations is sought by examining the attached graph
The point where the two lines plotted intersect is the solution. At this point, like any other point in a coordinate system will have x coordinate and y coordinate
The x coordinate is solved by tracing the from the point to the x axis, The value where the imaginary trace line drawn intersects the x coordinate is the solution at the x coordinate
This point has the values of -2 in the x axis
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This year consumers purchased 7,234,267,990 strawberries. Last year consumers purchased 2,000,900,999 strawberries. Which is the best estimate of how many more strawberries were sold this year than last year?
The estimated value was 9,000,000,000 strawberries sold this year than last year.
As per the given information, the required solution would be as:
We must calculate the most accurate estimate of the number of strawberries sold this year and the previous year.
Rounding up to the closest full number is the best approximation.
This year, 7,234,267,990 strawberries were purchased.
Last year, 2,000,900,999 strawberries were purchased.
Based on the above value, the estimated number of strawberries sold this year and the previous year is:
= 7,000,000,000 + 2,000,000,000
= 9,000,000,000
Thus, the estimated value was 9,000,000,000 strawberries sold this year than last year.
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To eliminate a variable in the system, should you add the equations or subtract the equations?
3x - 2y = 17
-3x - 4y = 7
Answer: You should add the equation
Step-by-step explanation: I see here that you already have perfect 3x and -3x, so the best way is to add them and eliminate the x to find the y first and then put the y back in the equation and solve for the x!
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the probability that a restaurant passes its health department inspection is 0.94. the owners of 58 restaurants are surveyed to see if their restaurants passed inspection.
For each binomial experiment described, find
A. the mean
B. the variance
C. the standard deviation
The mean , standard deviation, and the variance of each binomial experiment using given probability and sample of restaurant owners surveyed is equal to 54.52 , 1.808, 3.2712 respectively.
As given in the question,
Let success be defined by health department inspection is passed by restaurant
Probability of success rate 'p' = 0.94
Value of ' 1 - p ' = 1 - 0.94
= 0.06
Number of owners of restaurant which are surveyed 'n' = 58
For the given binomial experiments calculation of the following distributions are:
Mean 'μ' = np
= 58 × 0.94
= 54.52
Standard deviation 'σ' = √ np (1 - p)
= √ 58 × 0.94 × 0.06
= √3.2712
= 1.808
Variance 'σ²' = np( 1 - p )
= 58 × 0.94 × 0.06
= 3.2712
Therefore, the mean , standard deviation , and the variance from the given probability and sample size is equal to 54.52 , 1.808, 3.2712 respectively.
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This year's soybean crop of 224000 t represents an increase of 40% over last year's crop. How many tons of soybeans were produced last year?
well, last year it was "x", which oddly enough is the 100%.
now, this year is 224000 tons, and that's an increase of 40%, so that's really the 100% + 40% = 140%, so if 224000 is the 140%, what's "x"?
[tex]\begin{array}{ccll} tons&\%\\ \cline{1-2} x & 100\\ 224000& 140 \end{array} \implies \cfrac{x}{224000}~~=~~\cfrac{100}{140} \implies \cfrac{ x }{ 224000 } ~~=~~ \cfrac{ 5 }{ 7 } \\\\\\ 7x=(5)(224000)\implies x=\cfrac{(5)(224000)}{7}\implies x=160000[/tex]
Which recursive sequence would produce the sequence
10,35,135,...?
Answer:
10, 35, 135, 410, 1235, ...
Step-by-step explanation:
a(1) = 10
a(n) = 3 * a(n-1) + 5
This recursive sequence starts with the initial value of a(1) = 10, and each subsequent term is calculated by applying the formula a(n) = 3 * a(n-1) + 5. The resulting sequence would be:
a(1) = 10
a(2) = 3 * a(1) + 5 = 3 * 10 + 5 = 35
a(3) = 3 * a(2) + 5 = 3 * 35 + 5 = 135
a(4) = 3 * a(3) + 5 = 3 * 135 + 5 = 410
a(5) = 3 * a(4) + 5 = 3 * 410 + 5 = 1235
And so on. This recursive sequence generates the following sequence: 10, 35, 135, 410, 1235, ...
Which model represents a function?
Model III represents a function by vertical line test.
What is Vertical line test?
The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function by visually examining the number of intersections of the curve with vertical lines.
The vertical line test concludes that a curve in the plane represents the graph of a function if and only if no vertical line intersects it more than once.
According to the given question:
Graph I has vertical line intersections more than one on many points of the curve. Therefore, Graph I does not represents a function.
Model II has two values for the domain point that is -5 has two images 2 and 10. Hence it does not represents a function.
Graph III has only one intersection by vertical lines on the curve. Therefore, Graph III represents a function.
Graph IV has two intersection points if a vertical line passes through the curve. Hence, Graph IV does not represents a function.
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Which expression is equivalent to the following complex fraction? 1 + startfraction 1 over y endfraction divided by 1 minus startfraction 1 over y endfraction.
On solving the provided question, we got that - question is based on the solving the fraction, so the correct option is [tex]\frac{y+1}{y-1} \\[/tex] that is is equivalent to the given complex fraction.
What is expression?Any mathematical statement made up of numbers, variables, and an operation between them is called an expression or an algebraic expression. As an illustration, the expression 4m + 5 consists of the terms 4m and 5, as well as the variable m, all of which are separated from one another by the arithmetic sign +.
Here the Expression, we have is -
[tex]\frac{ 1 + \frac{1}{y}}{1 - \frac{1}{y} }[/tex]
We must figure out the expression that equals the provided complex fraction.
The answer to the query is
Take the LCM of the numerator and denominator first.
We get,
[tex]\frac{ \frac{y+1}{y}}{\frac{y-1}{y} }[/tex]
[tex]\frac{y+1}{y} X \frac{y}{y-1}[/tex]
[tex]\frac{y+1}{y-1} \\[/tex]
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what are the expected value and standard erro for the sampling distribution of the sample proportion?
The anticipated value and standard error are 0.75 and 0.0306, respectively.
Explain the term standard error?The population mean's likelihood to differ from a sample mean is indicated by the standard error of a mean, and simply standard error. It reveals how much what the sample mean will change if a study were to be repeated with fresh samples drawn from a single population.If n is the sample size and p is the genuine population proportion, then the sampling distribution of a sample proportion is thought to adhere to the normal distribution.
np ≥ 10n(1 - p) ≥ 10As per the given question;
population proportion P = 0.75 size of the sample n = 200Let P' represents the sample proportion.
Regarding the sample proportion's sampling distribution:
The anticipated value is calculated using,
μp = P
μp = 0.75
As a result, 0.75 is the expected value.
Now, for the standard deviation-
σp = √P(1 -P)/n
σp = √0.75(1 - 0.75)/200
σp = 0.0306
Because the standard error is specified as; the value is 0.0306.
As a result, again for sampling distribution for sample proportion, the anticipated value and standard error are 0.75 and 0.0306, respectively.
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The complete question is-
A random sample of size n = 200 is taken from a population with population proportion P = 0.75. Calculate the expected value and the standard error for the sampling distribution of the sample proportion.
If two-thirds of a women’s age is 42, how old is she
Answer: 63
Step-by-step explanation:
You can put this solution on YOUR website! Hi there, 2/3 = 42. Multiply 42 by 3 = 126. Divide 126 by 2 = 63. The lady's age. 63yrs old. Proof: 2/3 x 63
Answer:
63
Step-by-step explanation:
42 / 2 = 21
21 * 3 = 63
If 42 is two thirds, then one third is 21 because (2/3) / 2 = 1/3.
If 21 is one third, then the whole is 63 because (1/3) * 3 = 1.
27. Households consume much more electricity when the weather is warmer. Temperate and electricity is related as stated below. Round answers to the nearest hundredth. Questions: Temperature °F Electricity (KWH) 56 30.8 63 35.4 67 37.7 b) Determine the strength of the correlation coefficient, r. c) Determine the direction of the correlation coefficient, r. 76 a) Find the correlation coefficient round to four decimal places. d) Write the equation that best represents the data. 41.1 79 43.1 e) If the temperature was 90°F, what is the predicted electricity usage? 82 44.8 f) If a household uses 38 KwH of energy, what would be the temperature outside be?
Answer:
Step-by-step explanation:
the power house of the midriccondria examples of solutions of the 9+ 10 so the annswer is 11
meal A has 170 calories in 3 servings. Meal B has 160 calories in 4 servings. Which meal has more calories per serving
Answer: Meal B
Step-by-step explanation:
Let's find Meal A
170 divided by three = 56.7 Calories per serving
Find Meal B
160 divided by 4 = 60 Calories per serving
Meal B has more Calories per serving!
a set of 15 different integers has a median of 25 and a range of 25. what is the greatest possible integer that could be in this set? 32 37 ...
The greatest possible integer that could be in this set is 43.
The group of 15 different integers in this instance has a range of 25 and a median of 25. The greatest value that can be entered will be limited by that range.
With a median of 25, we can deduce that 7 numbers fall within the range of 25 and above, and 7 numbers fall within this range.
We must increase the smallest value in order to increase the largest value. Here's how to accomplish it:
18 19 20 21 22 23 24 25
With 18 as the lowest value and a range of 25, 43 would be the highest value.
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Consider AXYZ in the figure below.
The perpendicular bisectors of its sides are TS, US, and VS. They meet at a single point S.
(In other words, S is the circumcenter of AXYZ.)
Suppose VS 80, YZ=86, and ZS=116.
Find XS, UZ, and VY.
Note that the figure is not drawn to scale.
X
T
Z
XS = []
UZ = 0
VY = 0
X
S
The value of XS = 116, UZ = 43, and VY = 84.
What are perpendicular bisectors?
A line or line segment that divides a given line segment into two equal portions is known as a perpendicular bisector.
Here, we have
Given
The perpendicular bisectors of its sides are TS, US, and VS. They meet at a single point S.
VS 80, YZ=86, and ZS=116 and we have to find XS, UZ, and VY.
TS, US, and VS are perpendicular bisectors
So, XV = VY, YU = UZ, XT = TZ
Then, ΔYST ≅ ΔZST
ΔYSV ≅ ΔXSV
ΔYUS ≅ ΔZUS
So, XS = ZS = 116
UZ = 1/2YZ = 1/2×86 = 43
VY = VX
VX² + VS² = XS²
VX = √XS² -VS²
VX = √116² - 80²
VX = 84
Hence, the value of XS = 116, UZ = 43, and VY = 84.
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What are the solutions of It - 2001 - 50 = 0?
O A. -250 and -150
OB. 40 and 50
O C. -150 and 250
OD. 150 and 250
Answer:
Step-by-step explanation:
d
Answer:
d
Step-by-stedp explanation:
Identify the variation as direct, inverse, joint or combined x/y =c
O joint
O direct
O combined
O inverse
NEXT QUESTION
Solve x2 + 2x + 7 = 0 using the quadratic formula. Select all solutions that apply.
Solving the equation x²+2x+7 using the quadratic formula, the resultant answer is x = -1 ± 2.44949i.
What is the quadratic formula?Any quadratic problem can be solved using the quadratic formula.
The equation is first changed to have the form ax²+bx+c=0, where a, b, and c are coefficients.
After that, we enter these coefficients into the following formula:
(-b±√(b²-4ac))/(2a)
Quadratic equations can be solved using one of three main strategies: factoring, the quadratic formula, or completing the square.
So, solving x²+2x+7 using the quadratic formula as follows:
Quadratic formula: (-b±√(b²-4ac))/(2a)
Substitute values and caluclate:
x = (-b±√(b²-4ac))/(2a)
x = (-2±√(2²-4(1)(7))/(2*1)
x = (-2±√4-28)/(2)
x = (-2±√-24)/(2)
Complex roots:
x = (-2±2√6i)/(2)
x = -2/2 ± 2√6i/2
Simplifying fractions:
x = -1 ± √6i
So, we have:
x = -1 ± 2.44949i
Therefore, solving the equation x²+2x+7 using the quadratic formula, the resultant answer is x = -1 ± 2.44949i.
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I need help please i don’t understand
What is the slope of a line perpendicular to the line whose equation is 3x-6y=90. Fully simplify your answer.
Answer:
the slope is 0.5 or 1/2
Step-by-step explanation:
3x - 6y = 90
-6y = -3x + 90
y = 0.5x + 90
Answer:
slope= 1/2
Step-by-step explanation:
3x-6y=90
rewrite the equation into slope intercept form
y=1/2x-15
subtracting is the same as adding the opposites
y=1/2x+(-15)
since the equation is written in slope intercept form, y=mx+b, identify the slope of the line as the coefficient next to the variable x
y=1/2x+(-15), m=1/2
identify the y intercept of the lines as the constant term
y=1/2x+(-15),m(slope)=1/2,b=-15
How many square inches of gift wrap will be needed to cover a box that is 5in x 7in x 3in?
Answer:
65 sq.inches
Step-by-step explanation:
To find the total surface area of a box, you need to calculate the area of each of its faces and add them together. In this case, the box has three faces with dimensions 5 inches by 7 inches, and three faces with dimensions 5 inches by 3 inches.
The total surface area of the box is therefore:
(5 * 7) * 2 + (5 * 3) * 2 = 35 + 30 = 65 square inches
This means that you will need 65 square inches of gift wrap to cover the box.
Hope this helps you
Answer: 142 squared inches of gift wrap
Step-by-step explanation:
To find how many square inches of gift wrap you would need, you would use the formula for the surface area of the box (rectangle)
Formula: 2 ( length x width + width x height + height x length ) = Surface AreaNow plug the numbers in from the given dimensions
2 ( 7 x 5 + 5 x 3 + 3 x 7 ) = Surface AreaNow solve...
2 ( 7 x 5 + 5 x 3 + 3 x 7 ) = 142Giving you the answer of 142 squared inches of gift wrap
Hope this is correct and helpful! ^^
49x3x7x1 = show your work
Answer:
1,029
Step-by-step explanation:
"Cara" opened a savings account and deposited "$800.00" as principal. The account earns 10% interest, compounded annually. What is the balance after 4 years
Name each polynomial by degree and number of terms.
-6x^4-2x^2+2
A. quintic binomial
B. quadratic binomial
C. quartic trinomial
D. quartic monomial
Reason:
It's a quartic because the largest exponent is 4 (so the degree is 4).
It's a trinomial since it has 3 terms.
Find zeros of quadratic polynomial
x²+x -20
Answer:m,m,
Step-by-step explanation:
Answer:
Zeros:
x = -5x = 4Step-by-step explanation:
Given quadratic polynomial:
[tex]x^2+x -20[/tex]
The zeros of a function f(x) are the x-values that satisfy the equation f(x)=0.
Therefore, to find the zeros of the given function, set it to zero and solve for x.
Factor the quadratic:
[tex]\implies x^2+x-20=0[/tex]
[tex]\implies x^2+5x-4x-20=0[/tex]
[tex]\implies x(x+5)-4(x+5)=0[/tex]
[tex]\implies (x-4)(x+5)=0[/tex]
[tex]\boxed{\begin{minipage}{8.4 cm}\underline{Zero Product Property}\\\\If $a \cdot b = 0$ then either $a = 0$ or $b = 0$ (or both).\\\end{minipage}}[/tex]
Apply the Zero Product Property:
[tex]\implies x-4=0 \implies x=4[/tex]
[tex]\implies x+5=0 \implies x=-5[/tex]
Therefore, the zeros of the given quadratic polynomial are:
x = -5x = 4Consider the graph of equation y=mx+b
How does changing the value of m affect the graph of the equation?
add -1[tex]\frac{1}{4}[/tex] 0.75 +0.45. Write your answer as a decimal to the nearest hundredth.
Answer:
Step-by-step explanation:
-0.05
Answer: -1/20, or -0.05
Step-by-step explanation:
rewrite -1 1/4 as -5/4
rewrite 0.75 as 75/100 and simplify = 3/4
rewrite 0.45 as 45/100 and simplify = 9/20
-5/4+3/4 = -2/4 = -1/2
-1/2+9/20 find LCD
LCD = 20
-1/2 * 10/10
-10/20+9/20= -1/20
Question 15 of 25
The table below shows last year's gross income, standard deduction, and
number of exemptions for four different workers.
Gross
Income
Delaney $77,568
Jamie $71,234
Oliver $74,872
Thomas $77,623
Standard
Deduction
$8350
$5700
$8350
$5700
2
1
1
3
Number of Exemptions at
$3650 Each
Assuming that each worker used the standard deduction and that none of the
workers had any additional adjustments, which worker had the lowest taxable
income last year?
If each worker used the standard deduction and no worker had any additional adjustments, the worker with the lowest taxable income last year was A. Jamie.
What is taxable income?
The taxable income is the difference between a worker's gross income and the total deductions (standard or itemized).
Data and Calculations:
Gross Income Standard Number of Taxable
Deduction Exemptions at Income
$3,650 Each
Delaney $77,568 $8,350 $69,218 ($77,568 - $8,350)
Jamie $71,234 $5,700 $65,534 ($71,234 - $5,700)
Oliver $74,872 $8,350 $66,522 ($74,872 - $8,350)
Thomas $77,623 $5,700 $71,923 ($77,623 - $5,700)
Hence, if each worker used the standard deduction and no worker had any additional adjustments, the worker with the lowest taxable income last year was A. Jamie.
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