Answer:
p and q, p and r, q and s
Step-by-step explanation:
hope that helps
Solve please it is for homework
Step-by-step explanation:
a) 4
b) 4
c) 4
d) DNE
why is that ? as there is a hollow dot in the curve exactly at x = -3, there is no defined functional value for x = -3.
but it is only this one specific dot that is excluded. so, the lim calculation can still use it for a) - c). although it changes direction there, it is still the same coming from left or from right. and therefore it is the same limit overall.
e) 1
f) -1
g) DNE
h) 1
at x = 0 the function has a jumping discontinuity. therefore, the limits are different when coming from left or from right. and because of this difference, the general limit does not exist. the functional value at x = 0 is part of the curve coming from the left.
i) 2
j) DNE
similar to a) - d). the point (but only the single point) at x = 2 is excluded from the function and has no assigned functional value. nevertheless, it can still be used for the limit calculation.
k) it is not very well to see in the picture. when coming from the right, it appears to be 3.
but it might be possible that it goes further down to 2.
l) similar to k) it is not good to see in the picture. when coming from the left, is the wild "swinging" ending at 2 ? or going back up to 3 to meet the functional curve of k) ?
I would suspect it is 3, but it could be 2.
you need to decide k) and l) when you look at your original, because the picture is too fuzzy to be sure.
A man bought 5 laptops and a desktop for taka 229600. If a laptop costs taka 32750 find the cost of the desktop
Answer:
65850
Step-by-step explanation:
Answer:
65,850
Step-by-step explanation:
5 laptops costs 163,750(5x32750). Total costs of 229,600-laptops 163,750=costs of desktop 65850.
On a certain hot summer's day, 350 people used the public swimming pool. The daily prices are 1.25 for children and 2.50 for adults. The receipts for admission totaled 627.50 How many children and how many adults swam at the public pool that day?
Answer:
198 children, 152 adults
Step-by-step explanation:
So this problem can be broken down into an equation system with 2 equations.
Let's use variable x for number of children and y for number of adults.
You are given, that 350 people in total used the pool on this certain day.
This gives you the first equation:
x + y = 350
Then you are given the totaled admission of 627.50. When each child paid 1.25 and each adult paid 2.50, this gives you the second equation:
1.25*x + 2.50*y = 627.50
To get the value of both x and y, first solve one equation for x;
x + y = 350
x = 350 - y
and then put this value into the other equation:
1.25*x + 2.5*y = 627.5
1.25*(350-y) + 2.5*y = 627.5
and then you solve for y:
437.5 -1.25*y + 2.5*y = 627.5
437.5 + 1.25*y = 627.5
1.25*y = 190
y = 152
so 152 adults used the pool this day.
Then you put this value for y into any of your equations and solve for x:
x + y = 350
x + 152 = 350
x = 350 - 152
x = 198
so 198 children used the pool this day.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each graph with the correct cosine function based on its period.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (1.5, 0), (3, minus 1), (5, 0), (6.5, 1), (7.5, 0), It follows the same pattern.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (3, 0), (6, minus 1), (9.5, 0). It follows the same pattern.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (0.5, 0), (1, minus 1), (1.5, 1), (2, 0), (2.5, minus 1), (3, 0). It follows the same pattern.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 at (minus 1, 0) and goes through (0, 1), (1, 0), (3, 1), (4, 0), and (4.5, minus 1) and curve follows the same pattern on X-axis.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (6, 0), and (12, minus 1). It follows the same pattern.
y=cos x/2 arrowRight
y=cos x arrowRight
y=cos x/4 arrowRight
y=cos x/4arrowRight
The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)
Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:
Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.
Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.
Graph 4: (Not used)
Graph 5: (Not used)
Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.
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Usain Bolt ran 120 meters in 12 seconds. What was his unit rate?
HELPPPP
Answer:
10 m/s
Step-by-step explanation:
Unit stands for one so
120 meters in 12 seconds in 10 meters a sec
(a) You have a 10 inch by 15 inch piece of tin which you plan to form into a box (without a top) by cutting a square from each corner and folding up the sides. How much should you cut from each corner so the resulting box has the greatest volume? (b) If the piece of tin is A inches by B inches, how much should you cut from each corner so the resulting box has the greatest volume?
Resulting box has the greatest volume for the values (25 ± 5√7)/6 .
This is a problem that can be solved using derivatives , maxima & minima and common logic.
Hence , going by logic :
Creating a flap of 'a' inches in width, the base of the box will be
(10 - 2a) by (15 - 2a)
and the depth of the box will be the width of the fold-up flap: a.
Then the volume of the box is
v = \(a(10 -2a)(15 -2a) = 150a -50a^2 +4a^3\)
Using the derivative of the volume will be zero at the maximum volume.
0 = \(dv/da = 150 -100a +12a^2\)
This has roots at
a = (100 ±√(100² - 4(12)(150)))/(2·12)
a = (100 ± √2800)/24 = (25 ± 5√7)/6
Only the smaller of these solutions gives a maximum volume.
You should cut (5/6)(5-√7) ≈ 1.962 inches to obtain the greatest volume.
Similarly , replacing the values of 10 by A and 15 by B , a generalized solution can be formed .
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Simplify 4(3v + 2)
12v + 8
12v + 2
7v - 2
5v
help me to find the answer of iii
Step-by-step explanation:
I guess, the silent request here is that there will be no wire left after the 10th square.
and I guess, the following square does not reuse one side of the previous square. all squares are "standalone".
T stands for area ? well, ok.
when the side length doubles, the area quadruples (the area is side×side, and factor 2 × factor 2 = factor 4). but the perimeter still only doubles.
T1 = x × x = x²
T2 = x×2 × x×2 = x² × 4 = T1 × 4
Tn = Tn-1 × 4 = T1 × 4^(n-1) = x² × 4^(n-1)
so, Tn/Tn-1 = 4
but the geometric series for the perimeter is
p1 = 4x
pn = pn-1 × 2 = x × 2^(n+1)
and pn/pn-1 = 2
the sum of a finite geometric series with n elements is
s = p1 × (1 - r^(n))/(1 - r)
r is the common factor. in our case it is 2.
and we have 10 elements.
so, we know
8184 = 4x × (1 - 2^(10))/(1 ‐ 2) = 4x × (1-2¹⁰)/-1 =
= 4x × -1023 / - 1 = 4x × 1023
2046 = x × 1023
x = 2046/1023 = 2 cm
so, now finally for iii)
T10 (the last, biggest square) = x² × 4⁹ = 4×4⁹ = 4¹⁰ =
= 1,048,576 cm²
Find the area of the triangle
Answer:
\(\sqrt{20}\ or\ 2\sqrt{5}\)
Step-by-step explanation:
A point-slope form of a line that has a slope of 4 and goes through (2, 1) is...
Answer:
\( \huge \orange{y - 1 =4(x - 2) } \\ \)
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
\(y - y_1 = m(x - x_1)\)
From the question we have the final answer as
\(y - 1 = 4(x - 2)\)
Hope this helps you
Write the linear inequality which is shown by the graph
Answer:
B. y > -3
Step-by-step explanation:
We see that the line is dotted, so we can remove C and D as answer choices. Since our line is horizontal, our best answer is B.
(PLEASE HELP ALL MY POINTS) What is the best way to describe the center of the data represented in this line plot?
Select from the drop-down menus to correctly complete the statement.
The
mean or median
is
1.5 inch or 1 inch or 1.8 inches or 2 inches
Answer:
Review. The mean and the median can be calculated to help you find the “center” of a data set. The mean is the best estimate for the actual data set, but the median is the best measurement when a data set contains several outliers or extreme values.
Step-by-step explanation:
bye
Answer:
the mean is 1.8, the median is 1
Step-by-step explanation:
giải pt x^{2} +X-1=0
Answer:
x1 = \(\frac{-1 + \sqrt{5} }{2}\) ; x2 = \(\frac{-1 - \sqrt{5} }{2}\)
Step-by-step explanation:
Người Việt Nam à em :v
Events A and B are mutually exclusive. Events B and C are non-mutually exclusive. Which Venn diagram could represent this description? Circles A, B, and C overlap. Circles A and B overlap. Circle C is to the side. Circles A, B, and C are shown. They do not overlap. Circles A and C overlap, and circles C and B overlap.
Answer:
correct its d
Step-by-step explanation:
Luis took out a 3-year loan for $4500 at a furniture store to be paid back with
monthly payments at a 15.9% APR. If the loan offers no payments for the first
15 months, how many payments will Luis be required to make?
A. 21
B. 15
C. 36
D. 51
Luis will be required to make Payments for a period of 21 months. Therefore, the correct answer is: A. 21
The number of payments Luis will be required to make, we need to calculate the total loan term, taking into account the initial period with no payments.
The loan term is 3 years, which is equivalent to 36 months. However, the loan offers no payments for the first 15 months. Therefore, we subtract the 15-month grace period from the total loan term:
36 months - 15 months = 21 months
Luis will be required to make payments for a period of 21 months.
Therefore, the correct answer is: A. 21
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What are the properties of the end center of a triangle?
The properties of the incenter of the triangle are shown below .
In the question ,
we have to write the properties of Incenter of the triangle .
By the definition ,
the point where three angle bisectors meet in called as the Incenter of the triangle .
The properties of the Incenter of the triangle are as follows
(1) Incenter is the center of the incircle .
(2) Incenter always lie inside the triangle .
(3) the Incenter is equidistant form the sides of the triangle .
Therefore , the properties of the Incenter of the triangle are listed above .
The given question is incomplete , the complete question is
What are the properties of the incenter of a triangle ?
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For each quantity, decide whether circumference or area would be needed to calculate it. Explain or show your reasoning.
Answer:
a. The distance around a circular track. CIRCUMFERENCE
b. The total number of equally-sized tiles on a circular floor. AREA
c. The amount of oil it takes to cover the bottom of a frying pan. AREA
d. The distance your car will go with one turn of the wheels. CIRCUMFERENCE
Step-by-step explanation:
CIRCUMFERENCE : The circumference of a circle is the total length of its boundary.
AREA : Area of a circle is the total region covered buy that circle.
a. The distance around a circular track.
Here, we are covering the distance ONLY around the track and NOT inside it,
Hence, The CIRCUMFERENCE is calculated.
b. The total number of equally-sized tiles on a circular floor.
Here, we are covering the region or the total space occupied by all the tiles on the floor.
Hence, The AREA is calculated.
c. The amount of oil it takes to cover the bottom of a frying pan.
Here, we are covering the region or the total space occupied by all the oil on the bottom of the frying pan.
Hence, The AREA is calculated.
d. The distance your car will go with one turn of the wheels.
Here, the distance covered by wheel in 1 round
= Total length of the boundary of wheel
= The circumference of the wheel
A farmer outside of Clinton NC plants 20 plots of a new type of corn. The average yield for these plots is ī= 150 bushels per acre. Assume that the yield
per acre for the new viety of corn follows a normal distribution with
unknown mean and standard deviation of 20 bushels. Find a 95% confidence
interval.
A. 20 + 3.2
B. 150 +2.5
C. 150 +3.2
D. 150 +4.3
Answer:
The 95% confidence interval is \((150\pm 8.8)\).
Step-by-step explanation:
The information provided is:
\(\bar x=150\\\sigma = 20\\n=20\)
The critical value for 95% confidence level is:
\(z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96\)
Compute the margin of error as follows:
\(MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\)
\(=1.96\times\frac{20}{\sqrt{20}}\\\\=1.96\times 4.47214\\\\=8.7653944\\\\\approx 8.8\)
Then the 95% confidence interval is:
\(CI=\bar x\pm MOE\)
\(=150\pm 8.8\)
Thus, the 95% confidence interval is \((150\pm 8.8)\).
Natalie completed 56 sit-ups. Natalie completed 4 times as many sit-ups as Matthew.
How many sit-ups did Matthew complete?
You are saving money to buy a new video game. You already have $12, and each week you save another $5. Which expression can you use to represent the money you have after 'w' weeks?
Answer:yes 12 +5
Step-by-step explanation:Idrk
Answer:
12 + 5
Step-by-step explanation:
Calvin estimated he would need 8 hours to
complete his science project. It actually took
him 12 1/2 hours to get everything done. What
was his percent error?
Answer:45%
Step-by-step explanation:
Determine whether each equation represents a linear or nonlinear function.
Equation Linear Non - linear
y = 2x³ + 1 No Yes
y = 3x Yes No
y = x/5 Yes No
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
y = 2x³ + 1
For x = 1, 2, 3,
y = 2 + 1 = 3
y = 2 x 2³ + 1 = 2 x 8 + 1 = 17
y = 2 x 3³ + 1 = 2 x 27 + 1 = 54 + 1 = 55
The rate of change.
Between 3 and 17 = 17 - 3 = 14
Between 17 and 55= 55 - 17 = 38
This means the equation is not linear.
y = 3x
For x = 1, 2, 3,
y = 3 x 1 = 3
y = 3 x 2 = 6
y = 3 x 3 = 9
The rate of change.
Between 3 and 6 = 6 - 3 = 3
Between 6 and 9 = 9 - 6 = 3
This means the equation is linear.
y = x/5
For x = 1, 2, 3,
y = 1/5
y = 2/5
y = 3/5
The rate of change.
Between 1/5 and 2/5 = 2/5 - 1/5 = 1/5
Between 2/5 and 3/5= 3/5 - 2/5 = 1/5
This means the equation is linear.
Thus,
y = 2x³ + 1 is a linear equation.
y = 3x is not a linear equation.
y = x/5 is a linear equation.
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How do you calculate the cost of repaying a car
loan?
PLEASE ANSWER
Answer: 200.8
Step-by-step explanation: i juss subtracted
The graph of the function f(x) = –(x + 6)(x + 2) is shown below.
On a coordinate plane, a parabola opens down. It goes through (negative 6, 0), has a vertex at (negative 4, 4), and goes through (negative 2, 0).
Which statement about the function is true?
The function is increasing for all real values of x where
x < –4.
The function is increasing for all real values of x where
–6 < x < –2.
The function is decreasing for all real values of x where
x < –6 and where x > –2.
The function is decreasing for all real values of x where
x < –4.
The statement about the function is: "The function is decreasing for all real values of x where x < -4." D.
The given information tells us that the graph represents a downward-opening parabola.
The vertex of the parabola is located at (-4, 4) indicates that this point is the highest point on the graph.
As we move to the left of the vertex, the function values decrease, indicating a decreasing trend.
Moreover, the graph passes through the point (-6, 0), which lies to the left of the vertex.
This confirms that the function is decreasing for all real values of x less than -4, including x < -6.
On the other hand, the graph also passes through the point (-2, 0), which lies to the right of the vertex.
This does not impact the conclusion that the function is decreasing for x < -4, as the graph's behavior to the right of the vertex is not relevant to this particular statement.
Based on the given information and the properties of the downward-opening parabola, we can conclude that the function is decreasing for all real values of x where x < -4.
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A bottle holds 48 teaspoons of vanilla. The amount of vanilla remaining in the bottle decreases by 2 teaspoons per
batch of cookies. How much vanilla remains after 12 batches of cookies
Answer:
24 teaspoons
Step-by-step explanation:
2 times 12 = 24
48 - 24 = 24
18. Find the 21st term if a₁ = 3/5 and
d = -1/3
(a) -6.07
(b) 11.67
Answer:
a
Step-by-step explanation:
the nth term of an arithmetic sequence is
\(a_{n\) a₁ + (n - 1)d
here a₁ = \(\frac{3}{5}\) and d = - \(\frac{1}{3}\) , then
a₂₁ = \(\frac{3}{5}\) + (20 × - \(\frac{1}{3}\) )
= \(\frac{3}{5}\) - \(\frac{20}{3}\)
= 0.6 - 6.67
= - 6.07 ( to 2 decimal places )
What is Dababy the artist real name ?
Answer:
Dominique Armani Jones
Answer:
Jonathan Lyndale Kirk is Dababy the artist real name.
Thnx for the points and May God bless you ❤
Please help what is the slope of the line?
Answer:
-5/4
Step-by-step explanation:
Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:
\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)
Answer: -5/4
Step-by-step explanation:
To find the slope between two points, you can use the formula:
Slope = (y2 - y1)/(x2 - x1)
Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:
slope = (4 - (-1))/(-4 - 0)
slope = (4 + 1)/(-4)
slope = 5/-4
Therefore, the slope between the two points is -5/4.
A high school student decides to apply four of six famous colleges. I’m how many possible ways can the four colleges be selected
If a high school student decides to apply four of six famous colleges, then the four colleges can be selected in as many as 15 different combinations.
As per question statement, a high school student decides to apply four of six famous colleges.
We are required to calculate the number of combinations in which the four colleges can be selected.
To solve this question, we need to know the formula of Combination which goes as \((nCr)=\frac{n!}{r!(n-r)!}\)
, i.e., we are to select a set or "r" from a set of "n".
Here, we have to select a combination of 4 from a set of 6.
Therefore applying (nCr) formula with (n = 6) and (r = 4), we get,
\((6C4)=\frac{6!}{4!(6-4)!} =\frac{6!}{4!2!}=\frac{4!*5*6}{4!*2}=\frac{5*6}{2}=(5*3)=15\).
Combinations: In mathematics, a combination is a method of selecting items from a particular set, where the order of selection does not matter, i.e., if we have a set of three P, Q and R, then in how many ways we can select two numbers from each set, can be easily defined by combination.To learn more about combinations, click on the link below.
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Solve the following quadratic inequality x^2+x-6>0
Answer:
x < -3 or x > 2
Step-by-step explanation:
x² + x - 6 > 0
Convert the inequality to an equation.
x² + x - 6 = 0
Factor using the AC method and get:
(x - 2) (x + 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 2 = 0
x = 2
x + 3 = 0
x = -3
So, the solution is x < -3 or x > 2