Answer:
50.24
Step-by-step explanation:
3.14×4×4=50.24
Determining the Type of Function
What type of function is represented in the table?
Answer:
quadratic
Step-by-step explanation:
Find the equation of the parabola in vertex form that has a vertex of (4,-2) and a y intercept of (0,-66)
The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2
The vertex form of a parabola is given by:y = a(x - h)^2 + k
where (h, k) is the vertex of the parabola.
We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2
Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2
Simplifying this, we get:-66 = 16a - 2
Adding 2 to both sides, we get:-64 = 16a
Dividing both sides by 16, we get:a = -4
Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2
Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2
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from the given graph: state it's
a) amplitude
b) period
c) function of the graph:
Step-by-step explanation:
The amplitude is 2. Amplitude means height from the x-axis to the crest/trough.
The period is 2pi. It is from crest to crest (next crest) or trough to trough (next trough).
Note that crest are the highest points of a wave, and that troughs are the lowest points of a wave. (we are talking about transverse waves, but this is more of a physics thing).
Function of graph:
By playing around in a graphing calculator, I got the equation to be
2 (cos (x + pi/2)).
the 2 changes the amplitude, and the + pi/2 shifts the graph by pi/2 to the left.
How could you correctly rewrite the equation 4(10+5) = 6(12 - 2) using the distributive property?
20 + 40 = - 12 + 72
40 + 5 = 72 - 2
40 + 30 = 72 - 2
40 + 20 = 72 - 12
Answer:
40+20=72-12
60=60
Step-by-step explanation:
4*10+4*5=6*12-6*2
40+20=72-12
60+60
IN CASE YOU ARE LOOKING FOR THE ANSWER
A climber is standing at the top of Mount Kilimanjaro, approximately 3.7 mi above sea level. Earth has a radius of 3959 mi.
What is the climber's distance to the horizon?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
Answer: The answer is 171.2 Miles
Step-by-step explanation: You can easily find a "Horizon finder" online. It helps for harder equations like this.
Also I just realized that you put 171.20. When a question asks for a nearest tenth, only put the first digit of the decimal.
( 70 POINTS!! ) In a survey of 2837 adults, 1436 say they have started paying bills online in the last year.
Construct a 99% confidence interval for the population proportion. Interpret the results.
Question
Part 1
A 99% confidence interval for the population proportion is =( ? , ? )
.
(Round to three decimal places as needed.)
Part 2
Interpret your results. Choose the correct answer below.
A. With 99% confidence, it can be said that the sample proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
B. The endpoints of the given confidence interval show that adults pay bills online 99% of the time.
C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
The correct answer is Part 1: The 99% confidence interval for the population proportion is approximately (0.4716, 0.5416).Part 2: With 99% confidence, the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
Part 1:
To construct a 99% confidence interval for the population proportion, we can use the formula:
Confidence Interval = Sample Proportion ± Margin of Error
where the margin of error is determined by the level of confidence and the standard error.
First, let's calculate the sample proportion:
Sample Proportion = (Number of adults who say they have started paying bills online) / (Total number of adults surveyed)
Sample Proportion = 1436 / 2837 ≈ 0.5066 (rounded to four decimal places)
Next, we need to calculate the standard statistics error, which is the measure of the variability in the sample proportion:
Standard Error = sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)
Standard Error = sqrt((0.5066 * (1 - 0.5066)) / 2837) ≈ 0.0136 (rounded to four decimal places)
Now, we can calculate the margin of error:
Margin of Error = Critical Value * Standard Error
The critical value is based on the desired confidence level. For a 99% confidence level, the critical value is approximately 2.576 (obtained from a standard normal distribution table).
Margin of Error = 2.576 * 0.0136 ≈ 0.0350 (rounded to four decimal places)
Finally, we can construct the confidence interval:
Confidence Interval = Sample Proportion ± Margin of Error
Confidence Interval = 0.5066 ± 0.0350
Confidence Interval ≈ (0.4716, 0.5416) (rounded to four decimal places)
Part 2:
The correct interpretation is:
C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
This means that we are 99% confident that the true proportion of adults who have started paying bills online falls within the range of 0.4716 to 0.5416. The survey results suggest that approximately 47.16% to 54.16% of the population of adults have started paying bills online in the last year.
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How do I find the possible degree(s) of a function from the graph alone?
Answer:
To determine the possible degree(s) of a function from the graph alone, you need to examine the behavior of the graph at the extremes (far left and far right) and consider the number of turning points or changes in direction. Here's a step-by-step approach:
Look at the far left side of the graph: Determine the behavior of the graph as it approaches negative infinity. Does the graph approach a specific value, such as a horizontal line (asymptote) or the x-axis? If the graph approaches a horizontal line, it suggests a polynomial function of even degree. If the graph approaches the x-axis, it indicates a polynomial function of odd degree or possibly a function with a root of multiplicity greater than one.
Look at the far right side of the graph: Determine the behavior of the graph as it approaches positive infinity. Similar to step 1, observe if the graph approaches a specific value or a horizontal line. The behavior at the far right side should be consistent with the behavior at the far left side. This can help you identify if the function is even or odd degree.
Examine the number of turning points or changes in direction: Count the number of times the graph changes direction. These points are where the slope of the graph changes from positive to negative or vice versa. The number of turning points can provide an indication of the degree of the polynomial. For example, if there are two turning points, it suggests a polynomial function of degree 3.
Remember that this method provides potential degrees, but it may not definitively determine the exact degree of the function. Additional information or analysis might be required for a more accurate determination.
The chart below shows the number of students in each grade who are members of the spirit club at Lone Star Middle School.
If 10 more 8th graders join the club, how many 6th graders will need to join the club so that the ratio of 8th graders to 6th graders remains the same?
Answer:
The Answer Is 6
Step-by-step explanation:
The number of students 6th graders who will need to join the club will be 18.
What is the ratio?The utilization of two or more additional numbers that compares is known as the ratio.
The chart below displays the number of students in each grade that are members of Lone Star Middle School's spirit club.
If ten additional eighth-grade students join the group. If the ratio of eighth students to sixth graders remains constant.
Let 'x' be the number of students who join the club in 6th grade. Then the equation is given as,
x / (2 × 10 + 10) = 6 / 10
Simplify the equation, then we have
x / (2 × 10 + 10) = 6 / 10
x / 30 = 3 / 5
x = 30 (3/5)
x = 18
The number of students 6th graders who will need to join the club will be 18.
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Consider a recent interaction you have had with a co-worker or item that you saw in the media that might have included logical errors.
Share the example as well as the logical errors that are present in the example.
Discuss some common applications of logic
Logical error example can be people without reasoning out thoughts supporting people who promised them their betterment.
What is Logical Error/Fallacies?
Common thinking flaws called fallacies will impeach the logic of your argument. Fallacies can be irrelevant or invalid arguments, and they are frequently recognised since they don't have any supporting data.
Basic Logic - knowing the study of current reasoning is basic logic.
Logic pertains to all subjects, since people can reason about anything they can think about politics, the art , Literature, business, the sciences and every day problems are all subject open to reasoning.
Few times ago , I was in a political party rally. I observed that one think clever politician knows very well how to manipulate public opinion , contestant addressing and promising about that is not in even going to possible but many of them endorse strong convictions , that whatever he told is going to be true , people don't even think for reason with the promises that he did.
Legislative assembly member's contestant told in his addressing that we promises to all of you we will provide free petrol, diesel, free rice and now he is in the member of legislative assembly, but no promises are fulfilled. How people can't even reason their thought .
Therefore, this is an example of logical error.
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Solve: 3,204 ÷ 119
Show the remainder as a fraction.
3204:119=
=26,92
=27/10
Planes A and B are shown.
m
n
B
MA
If a new line, p, is drawn parallel to line /, which
statement is true?
O
Line p must be drawn in plane B.
O Line p must be perpendicular to line m.
O Line p must be drawn so that it can lie in the same
plane as line /
O Line p must be drawn in the same plane as line n.
The line which is on the same plane can be parallel, two lines are never parallel when they are in different planes, so option C is correct.
What is a line?An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.
Given:
The given planes are A and B,
A new line, p, is drawn parallel to line l,
Line l in the diagram is located on plane A. Line p must be drawn on plane A in order to be parallel to line l. As a result, line p, which is located on plane B, will be perpendicular to line n and parallel to lines l and n.
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The image of the remaining question is attached below.
juan built 96 toys in 8 hours. at that rate, how many toys would he build in 20 minutes?
Answer:
4.8 or if rounded up then 5.
Step-by-step explanation:
If you multiply 8 hours with 60 you find out 480 minutes. Then you divide the 96 toys with 20 minutes and you get 4.8 toys.
In the coordinate plane,
point H has coordinates
(2,5) and is the midpoint
of the line segment GI.
The coordinate of points
G and I are (x, 12) and
(7,-2), respectively. What
is the value of x?
Answer:
(-3,12)
Step-by-step explanation:
because (2,5) is the midpoint of GI and one of the known values was (7,-2). if u have a graphing calculator or use a graphing website, it shows (-3,12), and -3 being the missing x value.
Solve for y, -2/5 y +2 = -1/5y - 4/3
Given
\(-\frac{2}{5}y+2=-\frac{1}{5}y-\frac{4}{3}\)The objective is to solve for y, that is, isolate the y-term in one side of the expression.
The first step is to pass "-1/5y" to the left side of the expression by applying the inverse operation
\(\begin{gathered} -\frac{2}{5}y+\frac{1}{5}y+2=-\frac{1}{5}y+\frac{1}{5}y-\frac{4}{3} \\ -\frac{1}{5}y+2=-\frac{4}{3} \end{gathered}\)Next pass "+2" to the right side of the expression
\(\begin{gathered} -\frac{1}{5}y+2-2=-\frac{4}{3}-2 \\ -\frac{1}{5}y=-\frac{10}{3} \end{gathered}\)Finally multiply both sides by -5
\(\begin{gathered} (-\frac{1}{5}y)\cdot(-5)=(-\frac{10}{3})-(-5) \\ y=\frac{50}{3} \end{gathered}\)help me solve this problem its urgent.....
In the above given figure( attached photo) , M is the point on side QR. Fill in the blanks using symbol =, > or < to complete the statement.
1) PM ____ PQ + QM
2) PM ____ PR + MR
3) PM ____ 1/2 (PQ+PR+QR)
Answer:
1) PM < PQ + QM
2) PM < PR + MR
3) PM < 1/2 (PQ + PR + QR)
Step-by-step explanation:
This problem is based on the Pythagorean Theorum Equation
which states that a right triangle with sides a, b and hypotenuse can be written mathematically as hypotenuse = \(\sqrt{a^2 + b^2}\)
We can rewrite each line segment of the diagram into variables to simplify this problem and use the Pythagorean equation:
Line PQ = Hypotenuse 1, Line PR = Hypotenuse 2, Line PM = Side B, Line QM = Side A, Line MR = Side C
With all the line segments simplified into variables you can separate the diagram into 2 seperate triangles. Triangle 1 has H1, A, B and Triangle 2 has H2, C, B
Using the Pythagorean equation for both triangles you get:
H1 = \(\sqrt{a^2 + b^2}\) and H2 = \(\sqrt {c^2 + b^2}\)
Now you can assign random values for each variable and compare the problem statements.
For Triangle 1 lets assign variables A = 1, B = 2, and H1 = \(\sqrt{1^2 + 2^2}\) = \(\sqrt{3}\) = 1.73 For Triangle 2 lets assign variables C = 3, B = 2 and H2 = \(\sqrt {3^2 + 2^2} = \sqrt {13}\) = 3.6
For the final step you can directly compare the statements and see which symbol is correct.
1) B ____ H1 + A is equivalent to 2 ____ (1.73 + 1), which is turns out to be 2 < 2.73 The answer is <
2) B ____ H2 + C is equivalent to 2 ____ (3.6 + 3), which turns out to be
2 < 6.6 The answer is < again
3) B ____ 1/2 (H1 + H2 + (A+C) is equivalent to 2 _____ [1/2] (1.73 + 3.6 + 1 + 3), which turns out to be 2 < 4.67 The answer is < again
Karen is planning to drive 870 miles on a road trip. If she wants to complete the trip in 6 days, how many miles will she need to drive each day??
Answer:
145 miles
Step-by-step explanation:
870 ÷ 6 = 145
Jayla has a makeup mirror like the one shown below, which measurement is closest to the area of the mirror in square inches?
Answer:
D. 113.1 in^2
Step-by-step explanation:
A team of 5 IT specialists is to be selected to attend a lecture from 16 IT specialists. In how
many different ways can the team be formed?
124
4368
480
2880
Answer:
\( 16C5= \frac{16!}{5! (16-5)!}= \frac{16!}{5! 11!}= \frac{16*15*14*13*12*11!}{5! 11!}\)
If we simplify we got:
\( 16C5 = \frac{16*15*14*13*12}{5*4*3*2*1}=4368\)
And the best option would be:
4368
Step-by-step explanation:
For this case we have a total of 16 IT specialists and we want to select 5 IT specialists from the total of 16 so we can use the combination formula given by:
\( nC x= \frac{n!}{x! (n-x)!}\)
And replacing we got:
\( 16C5= \frac{16!}{5! (16-5)!}= \frac{16!}{5! 11!}= \frac{16*15*14*13*12*11!}{5! 11!}\)
If we simplify we got:
\( 16C5 = \frac{16*15*14*13*12}{5*4*3*2*1}=4368\)
And the best option would be:
4368
gordan types 1800words in 25minutes words per minute
Answer:
ok? if the question is how many words does he type in a minute the answer is 72
Step-by-step explanation:
Answer:
72 is right i check
Step-by-step explanation:
he/she comment the same so it was there idea
mart math math math math
Explanation:
Segment AW bisects angle CAD.
This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.
Therefore, angle CAD = 40 degrees.
The supplement of this is angle DAX
(angle CAD) + (angle DAX) = 180
angle DAX = 180 - (angle CAD)
angle DAX = 180 - 40
angle DAX = 140 degrees
Refer to the given terms . A pattern defines the relationship between the first two terms . Determine the relationship and identify the missing term of the second pair , such that both the pairs are analogous . AZP : ZAR :: TXK :
The missing term in the second pair is YUL.
To determine the relationship between the first two terms, let's analyze the given pattern: AZP : ZAR.
If we look closely, we can observe that each letter in the first term is shifted one position forward in the alphabet to form the corresponding letter in the second term.
So, applying the same pattern to the second pair (TXK), we need to shift each letter one position forward in the alphabet:
T + 1 = U
X + 1 = Y
K + 1 = L
Therefore, the missing term in the second pair is YUL.
The analogy between the pairs is that each letter in the first term is shifted one position forward in the alphabet to form the corresponding letter in the second term.
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At a high school, the probability that a student is a senior is 0.20. The
probability that a student plays a sport is 0.15. The probability that a student
is a senior and plays a sport is 0.05.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
• A. 0.05
• B. 0.25
• C. 0.33
• D. 0.15
Answer: B. 0.25
Step-by-step explanation:
Probability that a student is a senior = 0.20. Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior will be 0.25 and option B is the correct choice.
Select the correct answer.
Which graph represents the solutions to this equation?
x2 + 8x = -20
(as a graph pls!)
Answer:
Step-by-step explanation:
please help asap
• it would mean sm and make my day
Answer:
I know it
Step-by-step explanation: Btw did somone already answer this?
If you bought something in Texas for $52.00, you would be charged $3.25 in state sales tax. What is the state sales tax rate in Texas? Round your answer to the nearest hundredth of a percent
Answer:6.25%
Step-by-step explanation:
3.25 / 52 = 0.0625
Pls help I’ll brainlest pls help
Answer:
67.31
Step-by-step explanation:
27% of $53 is 14.31
$53+$14.31=$67.31
Answer:
$68.05
Step-by-step explanation:
To find out what the total cost of the meal is, multiply 1.07 by 53 * 1.2. I'd multiply 53 by 1.2 first, then multiply the product of that by 1.07.
(53 * 1.2) * 1.07 (Convert 1.2 into 6/5, and 1.07 into 107/100.)
((53 * 6)/5) * 107/100 (Multiply 53 by 6 to get 318.)
318/5 * 107/100 (Cross cancel if needed.)
159/5 * 107/50 (Multiply 159 by 107 to get 17013.)
17013/(5 * 50) (Multiply 5 by 50 to get 250)
17013/250 (Divide 17013 by 250 to get 68.052)
68.052 (Round to the nearest cent)
The meal costs $68.05 in total.
Write an addition or a subtraction equation (your choice!) to describe the diagram. Pls help
Answer:
Addition equation = -4-0) + [(-13)-(-4)]
Answer = -13
Step-by-step explanation:
For the small arrow in the diagram, the expression is (-4 - 0)
For the bog arrow, the expression will be -13 - (-4)
Adding both expressions
Addition = (-4-0) + [(-13)-(-4)]
Addition = (-4) + (-13+4)
Addition = -4 + (-9)
Addition = -4-9
Addition = -13
19−4c=17
help me asap
Answer:
c = 1/2
Step-by-step explanation:
Step 1: Write equation
19 - 4c = 17
Step 2: Subtract 19 on both sides
-4c = -2
Step 3: Divide both sides by -4
c = 1/2
Answer:
c= 0.5
Step-by-step explanation:
19−4c=17
-19 =17
-19
-4c/-4 = -2/-4
c= 0.5
Which equations would be related to x - 7 = 38
Answer:
-7+x=38,
Step-by-step explanation:
which numbers are rational A)-4.34
B)0.43222
C)7.234156
Answer:
C
Step-by-step explanation:
The other 2 aren't rational numbers
I am not completely confident in my answer, so lmk if it's right