Answer:
hosta = $5 each
geranium = $2 each
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
Leas's cost: 11 h + 7 g = 69
Elisa’s cost: 10h + 7g = 64
Where h is the price of one hosta and g is the price of one geranium.
Subtracting Elisa's cost to Leas's cost:
11 h + 7 g = 69
-
10h + 7g = 64
____________
h = $5
Replacing h in one equation:
11 (5) + 7 g = 69
55 +7g =69
7g = 69-55
7g= 14
g= 14/7
g= $2
Solve for x. Round to the nearest tenth, if necessary.
Answer:
x = 50
Step-by-step explanation:
sin 40º = 32 / x
0.64 = 32 / x
x = 32 / 0.64
x =~ 50
What are the x-and y-intercepts of -3x + 5y = 15?
A. 17, 10
B. -3, -5
C. -5,3
D. 15, 15
Help me pleasee
Answer: y= -5/3 x -1
Step-by-step explanation:
Explain why sin^ -1 (sin ( 3 pi 4 )+ 3 pi 4 when y = sin x and y = sin^1(x) are inverses
Answer:
The inverse function of a trigonometric function, such as the sine, is called arcsine or sin^-1. To show that the inverse function of sine, sin^-1(x), and the value of x when y = sin(x) are inverses, we can use the definition of the inverse function.
When y = sin(x), this means that x = sin^-1(y). Substituting sin(3π/4) in place of y gives x = sin^-1(sin(3π/4)).
Using the trigonometric identity of the inverse function, we have that:
cos^-1(cos(x)) = x
This means that sin^-1(sin(3π/4)) = 3π/4. Therefore, x = sin^-1(sin(3π/4)) + 3π/4, which means that the value of x is equal to the sum of sin^-1(sin(3π/4)) and 3π/4.
In summary, it can be shown that sin^-1(sin(3π/4)) + 3π/4 = 3π/4, which shows that the inverse function of sine and the value of x when y = sin(x) are reverse. This is because the inverse sine function takes the y value and returns the corresponding x value, and the sine function takes the x value and returns the corresponding y value.
Step-by-step explanation:
bob neale is the owner of a gas station. bob would like to estimate the mean number of gallons of gasoline sold to his customers. assume the number of gallons sold follows the normal distribution with a population standard deviation of 2.30 gallons. he selects a random sample of 60 sales and finds the mean number of gallons sold is 8.60. develop an 80% confidence interval for the population mean.
The z-statistic for a 80% confidence interval for the population mean is 1.283
The relationship between a value and a set of values' mean is described by the statistical measurement known as the Z-score. Standard deviations from the mean are used to measure Z-score. A Z-score of zero means the data point's score is the same as the mean score.
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
α= (1-0.8)/2=0.1
Now, we have to find z in the Z table as such z has a p value of 1-α
That is z with a p value of 1-0.1 = .9
so z = 1.283
The z-statistic for a 80% confidence interval for the population mean is 1.283
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who has the greater rate of change?
Answer:
Casey has the greater rate of change
Step-by-step explanation:
If you cannot remember the multiplication of table for 8,which other tables could you use to help you?
Answer:
you can remember the table if 1 to 7
Answer:
Step-by-step explanation:
4 because the same numbers from the multiplication number for 8 are the multiples of 4 and plus 4 the square root of 8
example:4,8,12,16,20,24,28,32,36
8, 16, 24, and 32 are multiples of 8
You have torn a tendon and is facing surgery to repair it. The surgeon explains the risks to you: infection occurs in 4%4% of such operations, the repair fails in 12%,12%, and both infection and failure occur together in 2%.2%. What percentage of these operations succeed and are free from infection
The percentage of operations that succeed and are free from infection is 86%.
To determine the percentage of operations that succeed and are free from infection, we need to subtract the probabilities of infection and failure from 100%.
Infection occurs in 4% of the operations.
The repair fails in 12% of the operations.
Both infection and failure occur together in 2% of the operations.
Let's calculate the percentage of operations that succeed and are free from infection:
Percentage of operations with infection = 4%
Percentage of operations with failure = 12%
Percentage of operations with both infection and failure = 2%
Percentage of operations without infection = 100% - 4% = 96%
Percentage of operations without failure = 100% - 12% = 88%
Percentage of operations without infection and failure = 100% - (4% + 12% - 2%) = 86%
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A straight line, L, passes through the point with coordinates (4, 7) and is perpendicular to the line with equation y = 2x + 3. Find an equation of the straight line L.
Answer:
y = - \(\frac{1}{2}\) x + 9
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 3 ← is in slope- intercept form
with slope m = 2
given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{2}\) , then
y = - \(\frac{1}{2}\) x + c ← is the partial equation of line L
to find c substitute (4, 7 ) into the partial equation
7 = - 2 + c ⇒ c = 7 + 2 = 9
y = - \(\frac{1}{2}\) x + 9 ← equation of line L
A factory can fill 225 bottles of orange juice each hour. Each bottle of orange juice contains 24 fluid ounces. Each bottle of juice sells for $5.50. If all the bottles made in a 12-hour shift sell, how much money will be made?
Answer:
$14,850
Step-by-step explanation:
If the factory can sell 225 bottles each hour, then for a 12 hour shift, 225 * 12 = 2,700 bottles sold. 5.50 * 2,700 = 14,850, so the factory makes $14,850.
The sides of a square are 12 feet long. Find the new side
length after it is increased by 40%.
Answer:
16.80 ft long
Step-by-step explanation:
diamonds are incorporated in solidified magma called _______ that originates deep within earth.
Diamonds are incorporated in solidified magma called kimberlite, which originates deep within the Earth.
Kimberlite is a volcanic rock formed in the Earth's mantle and brought to the surface through volcanic eruptions. The high pressure and temperature conditions in the mantle allow for the formation of diamonds from carbon atoms. When kimberlite eruptions occur, they transport diamonds and other mantle-derived materials to the Earth's surface, where they eventually cool and solidify.
The discovery of diamonds in kimberlite pipes has played a significant role in the development of the diamond mining industry. These pipes serve as primary sources for diamond extraction and are found in various locations around the world, including South Africa, Russia, and Canada. The study of kimberlites also provides valuable information about the Earth's mantle composition and its geodynamic processes. Overall, the relationship between diamonds and kimberlite is an essential aspect of both the gemstone industry and the study of the Earth's interior.
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I NEED THE ANSWERS ASAP PLEASE HELP!!!!!
Answer:
x = 10
y = \(10\sqrt{2}\)
Step-by-step explanation:
Let me know if you want an explanation.
If each of these runners travels the indicated number of spaces in the same amount of time, at which numbered spot will all of the runners be next to one another?
Answer:
Step-by-step explanation:
This is kinda confusing give me a second
Which of the following is most likely the next step in the series?
Answer:
D.
Step-by-step explanation:
The pattern is line across, then down, then across, then down, then across.
Answer:
D
Step-by-step explanation:
The steps are horizontal line, then vertical line. After the third image, the next line should be the horizontal line.
Four consecutive integers sum to 290. What is the least of the 4 integers?
Answer:
x+x+1+x+2+x+3+x+4
Step-by-step explanation:
5x+10 = 290
5x= 280
x = 280/5
x=56
least number is 56
the sports boosters are selling pennants at the school football game
to raise money for a new uniform
Answer:
that sounds nice. Not sure what the question or answers are tho-:)
Step-by-step explanation:
Use the Disk Method to set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the y-axis. 11 y = x12 y=1, x=0 11 TT 70 11 70 al v-aj- b) v =rſ vīdy = aj- O c) v=ri vīdy = od) v = r[ võõdy = e) v = |vdy v= 11 35 24 11 =—T 35 11 %3Dール 35
By using Disk Method, the integral that gives the volume of the solid formed by revolving the region about the y-axis of y = x^(11/12) y=1, x=0 is V = π∫(0 to 1) y^(24/11) dy = 11π/35. The option is D) is correct.
To use the Disk Method to find the volume of the solid formed by revolving the region about the y-axis, we can imagine slicing the solid into thin disks perpendicular to the y-axis, with each disk having thickness dy. The total volume of the solid can be found by summing up the volumes of all such disks from y=0 to y=1.
The equation of the curve is y = x^(11/12), so we can solve for x as x = y^(12/11). The region is bounded by y=0, y=1 and x=0.
Now, consider a thin disk located at a distance y from the y-axis. The radius of the disk is given by the distance between the y-axis and the curve at y, which is simply x = y^(12/11). Thus, the radius of the disk is r(y) = y^(12/11). The thickness of the disk is dy.
The volume of the disk is given by the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius of the disk and h is its thickness. Substituting in the values we have for r(y) and dy, we get:
dV = π(y^(12/11))^2 dy
Integrating this expression over the range of y from y=0 to y=1 gives us the total volume of the solid:
V = ∫(0 to 1) π(y^(12/11))^2 dy
Simplifying the integrand, we have:
V = π∫(0 to 1) y^(24/11) dy
Using the power rule of integration, we have:
V = π[(11/35) y^(35/11)](0 to 1)
Evaluating this expression at the limits of integration, we get:
V = π[(11/35) - 0] = π(11/35) = 11π/35
Therefore, the volume of the solid formed by revolving the region about the y-axis is 11π/35 cubic units. The correct answer is D).
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_____The given question is incomplete, the complete question is given below:
Use the Disk Method to set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the y-axis. y = x^(11/12) y=1, x=0
A) V = π∫(0 to 1) y^(11/12) dy = 11π/70
B) V = π∫(0 to 1) y^(24/11) dy = 11π/70
C) V = π∫(0 to 1) y^(12/11) dy = 11π/35
D) V = π∫(0 to 1) y^(24/11) dy = 11π/35
a cake has a radius of 14cm. what is the area of the cake
Step-by-step explanation:
radius = 14cm
area of circle = \(\pi\)r^2
= 22/7 *(14)^2
= 616 cm^2
Answer:
196π cm² or 615.44 cm²
Step-by-step explanation:
Area of a circle: πr²π = 3.14r (radius) = 14 cmSubstitute:
A = πr²
A = 3.14*14²
A = 3.14*196
A = 615.44 cm²
Therefore, the area of the cake is 196π cm² or 615.44 cm²
Hope this helps!
Label each section of the box plot. Can someone help please?
Answer:
In order from left to right:
Minimum, Q1, Median, Q3, Maximum
Write the slipe-intercept form of the equation of each line given the slope and y-intercept.
Please helppp!!!! i will give brainliest!!
Answer:
1. -1/2
2. 3/-2
3. 1/2/2
4. 7/2
Step-by-step explanation:
Hope it helped
WhAt is the area! Answer fast and please show work. I’ll give amazing rating!!!
Answer:
78
Step-by-step explanation:
A 45-45-90 triangle has sides like..
So the height of the parallelogram is 6.5
6.5 x 12 = 78
Answer:
78 in^2
Step-by-step explanation:
The area of a parallelogram is
A = bh
A = ( 12) * h
We can find the height from using trig functions
tan 45 = h /6.5
6.5 tan 45 = h
A = ( 12) * 6.5 tan 45
=12 ( 6.5) * 1
=78
El 20%de los estudiantes de un colegio que tiene 240 alumnos practican deporte ¿cuántos estudiantes practican deporte?
Answer:
20% de 240=20×240÷100= 48 practican deporte
Employee Name
Rick Lyon
Description
SECTION 2
EARNINGS STATEMENT-ACTIVITY 1
Regular Time
Overtime
Earnings
Gross Pay
Deductions
Federal Withholding (15%)
FICA (8%)
State Withholding (2%)
Retirement (4%)
Hospital/Medical Contribution
Total Deductions
Net Pay
Pay Period
Dec. 9-15, 2011
Amount
After all the deductions and hospital medical contributions his
net pay is $12975.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Assuming his regular pay is $20000 and overtime is $2500.
So, His gross pay is $22500.
Now, The deductions,
Federal withholding 15%,
= (15/100)×22500.
= $3375.
FICA 8%,
= 0.08×22500.
= $1800.
State withholding 2%,
= 0.02×22500.
= $450.
Retirement 4%,
= 0.04×22500.
= $900.
Assuming, Hospital medical contributions to be, $3000.
Therefore, The total deductions is,
= (3375 + 1800 + 450 + 900 + 3000).
= $9525.
So, The net pay is,
= $(22500 - 9525).
= $12975.
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In a survey, respondents were asked their political leaning and whether they favored the legalization of marijuana. Of the 826 respondents who answered both questions, the results are listed in the table below.
Liberal Moderate Conservative
Legal 120 102 78
Not Legal 98 222 206
Do the following problems: Leave the original fraction as the answer for each problem. Do not reduce. Do not convert to decimals.
(a) What is the probability that a randomly selected respondent is a conservative?
(b) What is the probability that a randomly selected respondent is a liberal who favors legalization of marijuana?
(c) What is the probability that a randomly selected respondent is a conservative or favors legalization?
(d) What is the probability that a randomly selected respondent who favors legalization given that he/she is a liberal?
(e) What is the probability that a randomly selected respondent who is a moderate given that he/she does not favor legalization?
(f) Are political leaning and favors legalization of marijuana independent? MUST SHOW WORK.
Main answer: The majority of respondents who favored the legalization of marijuana identified as liberal or very liberal.
Supporting explanation: The table shows that out of the 486 respondents who favored the legalization of marijuana, 296 identified as liberal and 120 identified as very liberal. This means that 616 out of the 826 respondents who answered both questions identified as liberal or very liberal. On the other hand, only 60 respondents who favored the legalization of marijuana identified as conservative or very conservative. This suggests that there is a correlation between political leaning and views on the legalization of marijuana, with those on the left end of the political spectrum more likely to support it.
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Maria determined that these expressions are equivalent expressions using the values of x = 3 and x = 7. Which statements are true? Check all that apply.
Answer:
Photo :)
Step-by-step explanation:
Got it right :))
Answer:
The expressions have equivalent values for any value of x
The expressions have equivalent values when x = 6.
When x=10, both expressions have a value of 33
Step-by-step explanation:
Joseph drives 18 miles in 3.6 hours. At the same rate How far will he be able to travel in 6 hours?
Answer:
answer for this question is 30miles
can someone please help me . first question .
Answer:
y = -x + 12
Step-by-step explanation:
2x + 2y = 24
divide all by 2
x + y = 12
y = -x + 12
The original price of
a computer was reduced by $250
Answer:
-250...? Please specify.
Step-by-step explanation:
Which are vertical angles? Check all that apply. ∠EAB and ∠BAC ∠EAB and ∠CAD ∠CAD and ∠FAE ∠CAB and ∠DAE ∠DAC and ∠DAE
*See attachment for the diagram
Answer:
B. ∠EAB and ∠CAD;
D. ∠CAB and ∠DAE
Step-by-step explanation:
Vertical angles are two angles formed directly opposite each other when two straight lines crosses or intercepts each other. Vertical angles are of equal measure to each other.
Thus, from the diagram given,
<CAD is vertically opposite to <EAB, also,
<CAB is vertically opposite to <DAE.
Thus, the vertical angles are:
∠EAB and ∠CAD;
∠CAB and ∠DAE
Answer:
B and D
Step-by-step explanation:
Hope it helps ^w^
Find the zeros of the function. Answer in exact form. Do not round. m(x) = -x^2 - 27
Zeroes of the equation are i3√3 and -i3√3.
What are the zeroes of the polynomial?A value (a number) at which the polynomial evaluates to zero is referred to as the "zero of a polynomial." For instance, the zeros of the polynomial x²-3x+2 are 1 and 2. A polynomial's zeros are frequently referred to as its "roots." Every polynomial has a unique multiset of zeros, which is an unordered list. The coefficients of a zero polynomial, which is a constant polynomial, are all equal to 0. The value of the variable that brings a polynomial to zero is referred to as its zero. As a result, any real integer is the zero of the zero polynomial.
Given Data
(x) = -x² - 27
To find zeroes,
m(x) = 0
0 = -x² - 27
x² = -27
As we know,
i² = -1
x² = i²(27)
x² = i (±3√3)
x = i3√3
x = -i3√3
Zeroes of the equation are i3√3 and -i3√3.
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