Answer:
13 shirts
Step-by-step explanation:
Company A: y=5x+125
Company B: y=15x
5x+125=15x
125=10x
12.5=x
You cannot have half a shirt, therefore the answer is 13.
What is the equation of a line in slope intercept form that is perpendicular to y=2/3x+2 and passes through the points (-2,2)? HELP ME PLEASE
Answer:
\(y = -\frac{3}{2}x -1\)
Step-by-step explanation:
Given
Perpendicular to \(y = \frac{2}{3}x + 2\)
Pass through \((-2,2)\)
Required
Determine the line equation
First, we need to determine the slope of \(y = \frac{2}{3}x + 2\)
An equation is of the form:
\(y = mx + b\)
Where
\(m = slope\)
In this case:
\(m = \frac{2}{3}\)
Next, we determine the slope of the second line.
Since both lines are perpendicular, the second line has a slope of:
\(m_1 = \frac{-1}{m}\)
\(m_1 = \frac{-1}{2/3}\)
\(m_1 = -\frac{3}{2}\)
Since this line passes through (-2,2); The equation is calculated as thus:
\(y - y_1 = m_1(x - x_1)\)
Where
\((x_1,y_1) = (-2,2)\)
This gives:
\(y - 2 = -\frac{3}{2}(x - (-2))\)
\(y - 2 = -\frac{3}{2}(x +2)\)
\(y - 2 = -\frac{3}{2}x -3\)
Add 2 to both sides
\(y - 2+2 = -\frac{3}{2}x -3 + 2\)
\(y = -\frac{3}{2}x -1\)
how many 2/3 are there in 1 whole
the product of z and the complex number 5-6i is a real number. find two possible nonzero values of z.
To find the values of z that make the product with the complex number 5-6i a real number, we need to consider the imaginary part of the product.
The product of z and 5-6i can be written as:
z * (5 - 6i)
Expanding this expression, we get:
5z - 6zi
For the product to be a real number, the imaginary part (-6zi) must be equal to zero. This means that the coefficient of the imaginary unit i, which is -6z, must be zero.
Setting -6z = 0, we find:
z = 0
So, one possible nonzero value of z is 0.
However, since we are looking for nonzero values of z, we need to find another value that satisfies the condition.
Let's consider the equation for the imaginary part:
-6z = 0
Dividing both sides of the equation by -6, we have:
z = 0/(-6)
z = 0
Again, we find z = 0, which is not a nonzero value.
Therefore, there are no other nonzero values of z that make the product with the complex number 5-6i a real number. The only value that satisfies the condition is z = 0.
What is the radius of a hemisphere with a volume of
86784
cm
3
,
86784 cm
3
, to the nearest tenth of a centimeter?
Given that,
Volume of hemisphere = 86784 cm³
Since we know ,
A hemisphere has one flat circular base and one curved surface. A hemisphere, like a sphere, has no edges or vertices. The diameter of a hemisphere is defined as a line segment connecting two opposed locations on the perimeter of the circular base of a hemisphere and passing through its centre.
Then volume of hemisphere = (2/3)πr³
86784 = (2/3)πr³
41457.32 = r³
Take cube root both sides we get
radius = 34.60
To learn more about hemisphere visit:
https://brainly.com/question/31160787
#SPJ1
Help find the value of x please.
Answer:
x = 127 i promise, i forgot the name of this theorem but there is a theorem that proves x = 127
Hope this helps!
The ratio of the measures of the sides of a triangles is 9:7:3. If the perimeter of the triangle is 266 inches, find the value of x
Answer: Depends on which side x is...
Step-by-step explanation:
This is my strategy for finding the values using ratios
Add the ratio together: 9 + 7 + 3 = 19
Divide the perimeter by the sum of the ratio: 266/19 = 14
Now we know what a unit of one is on the ratio: 14
Multiply this unit by the ratio amount
Side with ratio 9: 9 × 14 = 126 inches
Side with ratio 7: 7 × 14 = 98 inches
Side with ratio 3: 3 × 14 = 42 inches
Hope this helps?
What's the max/min of y=x^2-24x+166
Find the 200th term of the following arithmetic sequence. 5, 12, 19, 26, 33, ... Type your answer below. a₂₀₀ = ___
Find the sum of the first 200 terms 5+12+19+26+33+... Type your answer into the space below.
___
The given sequence is an arithmetic sequence with a common difference of 7, the sum of the first 200 terms of the arithmetic sequence is 140,300.
1. To find the 200th term, we can use the formula for the nth term of an arithmetic sequence. Additionally, to find the sum of the first 200 terms, we can use the formula for the sum of an arithmetic series.
2. The given arithmetic sequence has a common difference of 7, meaning that each term is obtained by adding 7 to the previous term. We can find the 200th term, denoted as a₂₀₀, using the formula for the nth term of an arithmetic sequence:
aₙ = a₁ + (n - 1)d,
where a₁ is the first term, n is the term number, and d is the common difference. In this case, a₁ = 5 and d = 7. Plugging these values into the formula:
a₂₀₀ = 5 + (200 - 1) * 7
= 5 + 199 * 7
= 5 + 1393
= 1398
3. Therefore, the 200th term of the given arithmetic sequence is 1398.
4. To find the sum of the first 200 terms of the sequence, we can use the formula for the sum of an arithmetic series:
Sₙ = (n/2)(a₁ + aₙ)
where Sₙ is the sum of the first n terms. Plugging in the values, we have:
S₂₀₀ = (200/2)(5 + 1398)
= 100 * 1403
= 140,300
Hence, the sum of the first 200 terms of the arithmetic sequence is 140,300.
learn more about arithmetic series here: brainly.com/question/14203928
#SPJ11
Find the area of the trapezoid.
The area is
square units.
Answer:
This doesn't make any sense. Don't know what you're looking for but here is the formula if needed: A= 1/2h (b^1+b^2)
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle.
y = ex, y = x2 − 1, x = −1, x = 1
Find the area of the region.
The area of the region is rectangles
The given curves are y = x2 and y = 2 − x2. They intersect at x = 1, y = 1. See the graph below. The shaded region enclosed by the curves is the region whose area we wish to find.To find the area of the shaded region,
The left part of the region is the part bounded by the x-axis, the curve y = x2, and the line x = 1. This region is shown below. To find the area of this region, we integrate with respect to y from y = 0 to y = 1. Along the curve y = x2, the values of x are ± y1/2. So we have to integrate from x = −y1/2 to x = 1.
Thus the area of the right part of the region isThus the total area of the shaded region is Approximating rectangle The area of each approximating rectangle is given by height times width. Since we are dividing the region into two parts we
A typical rectangle is shown below. The value of x corresponding to the lower end of the rectangle is x = −y1/2 and the value of x corresponding to the upper end of the rectangle is x = 1. So the height of the rectangle is x2 and the width is Δy = 1/n. Therefore, the area of the rectangle isSince the rectangle is located below the curve, this approximation underestimates the true area of the region.
Therefore, the area of the rectangle is Since the rectangle is located above the curve, this approximation overestimates the true area of the region. By computing the sum of the areas of all the approximating rectangles and taking the limit as n approaches infinity, we can find the exact area of the region.
To know more about typical approximating rectangle refer here :
https://brainly.com/question/30320313
#SPJ11
plz help
what does z=
Answer:
z = 56°
Step-by-step explanation:
y° is equal to 124°
So multiply 124° by 2
248°
Now subtract 248° from 360°
That would be 112°
Divide 112° by 2
Your answer is 56°
z = 56°
Hope this helped :)
Which ratio is equal to 27:817 OA 1:9 OB. 2:9 Oc. 3:9 OD. 3:27 O E 9:12
Answer:
54 : 1634
Step-by-step explanation:
In the data set below, what is the range? 9, 4, 9, 2, 8, 2, 1
In the past week, Joe has recorded the number of tickets that a movie theater has sold during each day from Monday to Saturday. This information was shown through the following Bar Graph.
How does the Bar Graph misrepresent the data?
A. The scale along the vertical axis is divided into unequal intervals.
B. The categories along the horizontal axis are missing one of the days.
C. The widths of the bars are not equal.
D. The heights of the bars representing Monday and Thursday are not same.
Based on the information shown through the bar graph, a misrepresentation of the data is that: B. the categories along the horizontal axis are missing one of the days.
What is a bar graph?A bar graph can be defined as a type of chart that is used for the graphical represent of data (information), especially through rectangular bars or vertical columns.
Based on the information shown through the bar graph in the image attached below, we can logically deduce that a misrepresentation of the data is that the categories along the horizontal axis are missing one of the days (Friday).
In conclusion, this bar graph misrepresented the data because Friday is missing from the categories along the horizontal axis.
Read more on bar graph here: https://brainly.com/question/24741444
#SPJ1
solve the equation by finding the square roots
w^2-36=-64
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : w^2-36-(-64)=0 Step by step solution : Step 1 : Polynomial Roots Calculator : 1.1 Find roots (zeroes) of : F(w) = w 2 +28 so the answer could be 2.176 or 30.
PLEASE HELP I NEED HELP ;(
Answer: second choice
Explanation:
all the answers are prime factorized, meaning that everything under the sign should multiply up to 180. the second answer, 2*2*3*3*5=180 works
-24-8p=4p
help please
Answer:
-2 = p
Step-by-step explanation:
-24-8p=4p
Add 8p to each side
-24-8p+8p=4p+8p
-24 = 12p
Divide each side by 12
-24/12 = 12p/12
-2 = p
Adam is asked to construct the bisector of ZR. Explain the error in Adam's work.
R
Х
Choose the correct answer below.
O A. Adam changed the setting of his compass at some point during the construction, making his bisector incorrect.
OB. Adam started the construction at the wrong place. He should have started at point R and drawn an arc that intersects both rays.
O C. Adam didn't draw a third arc to verify that the second point on the bisector was correct.
OD. Adam started the construction on the wrong ray. He should have started on the other ray
Answer:
A
Step-by-step explanation:
He didn't put a arc on both sides of the line.
Mrs.Green wants to make some toys for a store. She starts working at 8AM and stops at 12PM everyday. The store needs 120 toys and requires Mrs. Green to make them in three days. What must be her average rate of toys made per hour?
Answer:
10 toys per hour
Step-by-step explanation:
Given that she starts working at 8AM and stops at 12PM everyday, that means she works
= 12 - 8
= 4 hours daily
If the store needs 120 toys and requires Mrs. Green to make them in three days, the total time available for her to make the number of toys required
= 4 * 3
= 12 hours
Hence her average rate of toys made per hour
= 120/12
= 10 toys per hour
Use similar triangles to find the value of x.
9 feet
0.5 feet
8 feet
4.5 feet
Answer:
8 feet
Step-by-step explanation:
6 is to 'x' as 1.5 is to 2 or:
6/x = 1.5/2
cross-multiply:
1.5x = 12
x = 12/1.5
x = 8
2x-5y=20
What is y and what is x
Answer:
x=10 and y=4
Im not sure if this is correct but I looked it up and it said it was right
Answer:
x = 5/2y + 10y = 2/5x - 4(if you're looking for intercepts then: x = 10, y = -4)
Step-by-step explanation:
\(\sf{2x - 5y = 20\)
\(\sf{Finding~x:\)
\(2x - 5y = 20\)
\(+ 5y = + 5y\)
↪ 2x = 5y + 20
\(\frac{2x}{2} = \frac{5y}{2} + \frac{20}{2}\)
x = 5/2y + 10\(\sf{Finding~y:}\)
\(2x - 5y = 20\)
\(-2x~ = ~~~~-2x\)
↪ -5y = -2x + 20
\(\frac{-5y}{-5} = \frac{-2x}{-5} + \frac{20}{-5}\)
y = 2/5x - 4--------------------
Hope this helps!
PLEASE HELP FAST!!!
find the equation of the line that is perpendicular to this line and passes through the point (-7, 6)
find the equation of the line that is parallel to this line and passes through the point (-7, 6)
Answer:
-7.6
Step-by-step explanation:
al would take six hours to paint a wall working alone, while bob would take four hours to paint it, and chuck would take three hours to paint it. al starts painting at noon. at 1:00 pm, bob joins him. chuck joins them at 1:30 pm. at what time do they finish painting the wall?
At 2:20 pm they finish the paint of wall.
Given, Al took 6 hours to paint a wall.
Bob took 4 hours and Chuck took 3 hours for same.
Let the work of painting wall is = LCM(6,4,3) = 12 Units
So in 1 hour Al works = 12/6 = 2 units
In 1 hour Bob works = 12/4 = 3 units
In 1 hour Chuck works = 12/3 = 4 units
In 1 hour, Al and Bob together do = 2+3 = 5 units
In 1 hour, all three together do = 2+3+4 = 9 units
Now from noon i.e. 12 to 1.00 pm Al works alone.
So 2 units of work is done.
From 1 pm to 1.30 pm, Al and Bob work together.
In 30 minutes i.e. ½ hour Al and Bob did = (1/2)*5 = 5/2 units
From 1.30 pm they all three work together.
Now the remaining work is = 12-(2+5/2) = 12-9/2 = 15/2 units
So they complete rest in = (15/2)/9 = 5/6 hours = 50 minutes
Hence the time of finishing the work = 1.30 + 50 minutes = 2.20 pm.
To know more about Time refer to:
https://brainly.com/question/26046491
#SPJ4
In Exercises 7–8, use the following matrices and either the row method or the column method, as appropriate, to find the indi- cated row or column.[ 3 -2 7 ] [ 6 -2 4 ]A = [ 6 5 4 ] and B = [ 0 1 3 ][ 0 4 9 ] [ 7 7 5 ](a) the first row of AB (b) the third row of AB(c) the second column of AB (d) the first column of BA(e) the third row of AA (f) the third column of AA
The solutions to matrix multiplication problems using either row or column method are: First row of AB: [45, 42, 39], Third row of AB: [54, 50, 46], Second column of AB: [3, 39, -11], First column of BA: [0, 39, -6], Third row of AA: [72, 42, 72], Third column of AA: [71, 35, 51]
a) To find the first row of AB, we must use the row method. Multiplying the first row of matrix A by matrix B, we get [3(-2) + 7(0) + 6(4) + 5(9), 3(-2) + 7(1) + 6(7) + 5(5), 3(-2) + 7(3) + 6(5) + 5(0)] = [45, 42, 39]
b) To find the third row of AB, we must use the row method. Multiplying the third row of matrix A by matrix B, we get [6(-2) + 4(0) + 6(4) + 4(9), 6(-2) + 4(1) + 6(7) + 4(5), 6(-2) + 4(3) + 6(5) + 4(0)] = [54, 50, 46]
c) To find the second column of AB, we must use the column method. Multiplying the second column of matrix A by matrix B, we get [-2(0) + 4(1) + 5(3), -2(4) + 4(7) + 5(5), -2(9) + 4(5) + 5(0)] = [3, 39, -11]
d) To find the first column of BA, we must use the column method. Multiplying the first column of matrix B by matrix A, we get [0(3) + 1(-2) + 3(6) + 9(6), 0(-2) + 1(7) + 3(5) + 9(4), 0(7) + 1(-2) + 3(4) + 9(6)] = [0, 39, -6]
e) To find the third row of AA, we must use the row method. Multiplying the third row of matrix A by matrix A, we get [6(3) + 4(-2) + 6(7) + 4(6), 6(-2) + 4(7) + 6(5) + 4(4), 6(7) + 4(-2) + 6(4) + 4(6)] = [72, 42, 72]
f) To find the third column of AA, we must use the column method. Multiplying the third column of matrix A by matrix A, we get [7(3) + 7(-2) + 5(7) + 5(6), 7(-2) + 7(7) + 5(5) + 5(4), 7(7) + 7(-2) + 5(4) + 5(6)] = [71, 35, 51]
To know more about row method refer here:
https://brainly.com/question/30287548#
#SPJ11
A glider begins its flight 4/5 mile above the ground. After 30 minutes, it is 3/10 mile above the ground. Find the change in heigh of the glider. If it continues to descend at this rate, how long does the entire descent last?
Answer:1 hour 15 Minutes
Step-by-step explanation:The glider begins its flight mile above the ground.
Distance above the ground after 45 minutes =
Change in height of the glider
Next, we determine how long the entire descent last.
Expressing the distance moved as a ratio of time taken
Therefore: Total Time taken =45+30=75 Minutes
=1 hour 15 Minutes
find all the square numbers that are greater then 20 but less then 50
Answer:
5^2=25
6^=36
7^2=49
1. Start Time: 3:30 P.M.
End Time: 7:00 P.M.
Elapsed Time:
Answer:
7:00 = 6:60
Step-by-step explanation:
6:60 - 3:30 = 3 hours and 30 minutes
when constructing a confidence interval for a population mean from a sample of size 28, what is the number of degrees of freedom (df) for the critical t-value?
When constructing a confidence interval for a population mean from a sample of size 28, the number of degrees of freedom (df) for the critical t-value is 27.
To construct a confidence interval for a population mean using a sample size of 28, we need to determine the number of degrees of freedom (df) for the critical t-value.
The number of degrees of freedom is equal to the sample size minus 1. In this case, the sample size is 28, so the number of degrees of freedom would be 28 - 1 = 27.
To find the critical t-value, we need to specify the confidence level. Let's assume a 95% confidence level, which corresponds to a significance level of 0.05.
Using a t-table or statistical software, we can find the critical t-value associated with a sample size of 28 and a significance level of 0.05, with 27 degrees of freedom.
Once we have the critical t-value, we can then construct the confidence interval for the population mean.
In conclusion, when constructing a confidence interval for a population mean from a sample of size 28, the number of degrees of freedom (df) for the critical t-value is 27.
To know more about confidence interval visit:
brainly.com/question/32546207
#SPJ11
Which process does not occur in consumers?
Step-by-step explanation:
consumers?
Producers undergo the photosynthesis/chemosynthesis and cellular respiration. On the other hand, consumers undergo cellular respiration only. Therefore, cellular respiration occurs in both producers and consumers, whereas photosynthesis/chemosynthesis only happen in producers.
Find the volume of the solid obtained by rotating the region bounded by the curves y=x2, x=5, and y=0about the x-axis
Answer:
Step-by-step explanation:
The volume of a solid obtained by rotating a two-dimensional region about an axis can be found using the method of cylindrical shells.
The region in question is bounded by the parabolic curve y = x^2, the vertical line x = 5, and the x-axis. We can find the volume of the solid obtained by rotating this region about the x-axis by adding up the volumes of an infinite number of infinitely thin cylindrical shells with radius equal to the distance from the axis to the boundary of the region at each y-value.
The formula for the volume of a cylindrical shell is given by V = 2 * pi * y * dV, where y is the distance from the x-axis to the boundary of the region at each y-value, and dV is the incremental volume at that y-value.
To find the volume, we need to find the incremental volume dV, and integrate the cylindrical shell formula over the region bounded by y = x^2 and x = 5. The incremental volume is given by dV = pi * (R^2 - r^2)dy, where R is the outer radius, r is the inner radius, and dy is the incremental change in y.
In this case, the outer radius R is equal to the value of x = 5 when y = x^2, and the inner radius is equal to zero. Thus, the incremental volume is given by: dV = pi * (5^2 - 0^2)dy = 25 * pi * dy.
The bounds of the integration are from 0 to 5^2 = 25. Integrating the cylindrical shell formula over this range, we find that the volume of the solid obtained by rotating the region bounded by y = x^2, x = 5, and y = 0 about the x-axis is:
V = 2 * pi * integral from 0 to 25 of (y * 25 * pi)dy = 2 * pi * (25^2 * 25 / 2) = 15625 * pi cubic units.
So, the volume of the solid is approximately 49,093 cubic units.