SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Draw the given plot
STEP 2: Get the data of the school's soccer team from the plot
\(\begin{gathered} \text{The data values as s}en\text{ on the plot are:} \\ 60,61,62,62,64,64,65,65,66,66,67,68 \\ \\ \text{minimum}=60 \\ \text{Median}=65 \\ \text{Maximum}=68 \end{gathered}\)STEP 3:
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Solve: 2v - 6 = 4 V =
Given data:
The given expression is 2v - 6 = 4.
The given expression can be written as,
\(\begin{gathered} 2v-6=4 \\ 2v=10 \\ v=\frac{10}{2} \\ =5 \end{gathered}\)Thus, the value of v is 5.
Please solve the following problem 194=27-x
Answer:
hello! :)
-167
Answer: 167
Step-by-step explanation:
First get X by itself.
substract 27 to each side
194=27-x
194= 27 -27 -x
194 - 27 = X
X= 167
How many solutions will the equation have?
| x – 2| = 6
Answer:
2
Step-by-step explanation:
Answer:
2 solutions I believe. 2 different x values.
does anyone have the honors pre calculus semester 1 exam answers on edge?
Answer:
no but i’m sure if u type in a question a quizlet will pop up :) and the whole test will be there
Step-by-step explanation:
What is the difference quotient of the function g(x) = 4^x
Answer:
First choice
Step-by-step explanation:
The difference quotient in general is \(\frac{g(x+h)-g(x)}{h}\). To get an expression for \(g(x+h)\), replace x with x + h.
For this question,
\(\frac{4^{x+h}-4^x}{h}=\frac{4^x\cdot4^h-4^x}{h}\)
Factor \(4^x\) out of the numerator.
\(\frac{4^x(4^h-1)}{h}\)
Answer:
The answer is A the first option
Step-by-step explanation:
Just took the unit review and got a 100
4. How many terms are there in the following sequence?
19, 21, 23, ..., 53
The answer is______ terms.
Please show work
Answer:
The answer is this sequence has 18 terms
Step-by-step explanation:
As you can see, the term-to-term rule of the sequence is +2
We can use that to calculate the amount of terms.
First, calculate the distance between the first and last terms
53 - 19 = 34
Then, use this and divide the term-to-term rule.
34/ 2 = 17
Remember to add 1 at the end :)
17 + 1 = 18
There are 18 terms in this sequence.
If you don't trust me, you can check it yourself :D
$920/4 hours write as a unit rate
Answer:
$230 dollars per hours
Step-by-step explanation:
1) Just divide 920 with 4
You will get 230.
Hope this helps!
A B C D is a kite, so AC ⊥ DB and DE=EB. Calculate the length of AC, to the nearest tenth of a centimeter.
Given that ABCD is a kite, \(\overline{AC}\) is perpendicular to \(\overline{DB}\), ( \(\overline{AC}\perp \overline{DB}\)) and DE = EB, where, \(\overline{AD}\) = 10 cm, \(\overline{AE}\) = 8 cm, and \(\overline{CD}\) = 9 cm, then the length of \(\overline{AC}\) is approximately 14.7 cm.
What are perpendicular lines?Perpendicular lines are straight lines that intersect to form 90° angles
The given parameters are;
Quadrilateral ABCD = A Kite
\(\overline{AC}\) is perpendicular to \(\overline{DB}\), \(\overline{AC}\perp \overline{DB}\)
Segment DE = Segment EB
The length of \(\overline{AC}\) is therefore found using Pythagorean theorem as follows;
\(\overline{AD}^2\) = \(\overline{AE}^2\) + \(\overline{DE}^2\)
\(\overline{DE}^2\) = \(\overline{AD}^2\) - \(\overline{AE}^2\)
From the diagram, \(\overline{AD}\) = 10 cm, \(\overline{AE}\) = 8 cm
Which gives; \(\overline{DE}^2\) = 10² - 8² = 36
\(\overline{DE}\) = √(36) = 6
Similarly, \(\overline{CD}^2\) = \(\overline{CE}^2\) + \(\overline{DE}^2\)
\(\overline{CE}^2\) = \(\overline{CD}^2\) - \(\overline{DE}^2\)
Which gives, \(\overline{CE}^2\) = 9² - 6² = 45
\(\overline{CE}^2\) = 45
\(\overline{CE}\) = √(45) = 3·√5
\(\overline{CE}\) = 3·√5
\(\overline{AC}\) = \(\overline{AE}\) + \(\overline{CE}\)
\(\overline{AE}\) = 8 cm
Which gives, \(\overline{AC}\) = 8 + 3·√5 ≈ 14.7
The length of \(\overline{AC}\) is approximately 14.7 cm
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Find the measure of each angle of the quadrilateral.
all work should be in the picture, lmk if theres anything confusing
Let f(t)=4-3t^2. Evaluate f(t+1).
Answer:
f=4-3t^2/t+1
Step-by-step explanation:
Need help on this one.
The following recursive function computes the number of comparisons used in the worst case of merge sort.
M (1) = 0
M (2k) = 2M (2k−1) + 2k for all k > 0
Use mathematical induction to prove that M (2k) = k · 2k for all k ∈ N.
By the principle of mathematical induction, we have shown that
M(2k) = k 2k for all k ∈ N.
The Principle of Mathematical Induction:The principle of mathematical induction is a proof technique used to prove a statement that holds for all positive integers.
It consists of two steps:
Base case: Show that the statement is true for the smallest possible value of the positive integer, usually n = 1.
Inductive step: Assume that the statement is true for an arbitrary positive integer k, and then use this assumption to show that the statement must also be true for k + 1.
Here we have
The following recursive function computes the number of comparisons used in the worst case of merge sort.
M (1) = 0
M (2k) = 2M (2k−1) + 2k for all k > 0
To prove that M(2k) = k × 2k for all k ∈ N using mathematical induction, we will first show that the base case holds:
Base case: When k = 1,
we have M(2) = 2M(1) + 2¹ = 2(0) + 2 = 2, and k × 2k = 1 × 2¹ = 2.
Therefore, the base case holds.
Inductive hypothesis:
Assume that M(2k) = k × 2k holds for some positive integer k.
Inductive step:
We need to show that M(2k+1) = (k+1) × 2k+1.
Using the recursive definition of M, we have:
M(2k+1) = 2M(2k) + 2(2k+1)
= 2(k × 2k) + 2(2k+1) (using the inductive hypothesis)
= 2k(2k+2) + 2(2k+1)
= 2k(2(k+1)) + 2(2k+1)
= 2(k+1) × 2k + 2(2k+1)
= (k+1) × 2(2k+1)
Therefore, the inductive step holds.
Hence,
By the principle of mathematical induction, we have shown that
M(2k) = k 2k for all k ∈ N.
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C
55
Solve for C.
90
C = [?]
Round your
to the nearest tenth.
final answer
50
Law of Cosines: c² = a² + b² - 2ab-cosC
Measure of Angle C
Answer:
29.4°
Step-by-step explanation:
The equation can be rearranged to give C directly.
C = arccos((a^2 +b^2 -c^2)/(2ab))
C = arccos((90^2 +55^2 -50^2)/(2·90·55))
C = arccos(8625/9900) ≈ 29.4002°
C ≈ 29.4°
The measure of angle C is approximately 29.46 degrees.
How to determine angle CTo find the measure of angle C (cos(C)) using the given values a = 55, b = 90, and c = 50, we can use the Cosine Rule formula:
cos(C) = (a² + b² - c²) / (2 * a * b)
Substitute the given values:
cos(C) = (55² + 90² - 50²) / (2 * 55 * 90)
Now, calculate the numerator:
cos(C) = (3025 + 8100 - 2500) / (2 * 55 * 90)
cos(C) = 8625 / 9900
Now, divide to get the final value of cos(C):
cos(C) ≈ 0.8707
To find the measure of angle C itself, we can take the inverse cosine (arccos) of this value:
C ≈ arccos(0.8707)
Using a calculator, you'll find:
C ≈ 29.46 degrees (rounded to two decimal places)
So, the measure of angle C is approximately 29.46 degrees.
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what is the least common denominator of 1/8 , 7/12 , and 1/6?
Answer:
24.
Step-by-step explanation:
12 is divisible by 6, but not 8. 12x2=24. 6x4=24. 8x3=24.
Hope you are having a good day and please help me
C is a circle with radius r. Which of the following is true? Select all that apply
A. The diameter of C is 2r
B.the circumference of C is pi*r
C: the circumference of C is 2pi*r
D. One quarter of the circle has length (pi*r)/4
E. One quarter of the circle has length(pi*r)/2
Answer:
A and C and E
Step-by-step explanation:
Circumference is = 2*pi*r
Gwenna uses 4 tomatoes to prepare soup for 2 guests. How many tomatoes will she require to make soup for 6 guests?
Answer:
12
Step-by-step explanation:
2 tomatoes per person so 2x6=12
7. Ger and Amy are planting tulips. Ger has planted 60 tulips already and is planting more at arate of 44 tulips per hour. Amy has planted 96 tulips already and is planting more at a rate of 32per hour.a. After how many hours, h, will Ger and Amy have planted the same number of tulips? (4 pts)b. How many tulips will that be?
We know that
• Ger has planted 60 tulips.
,• Ger's rate is 44 tulips per hour.
,• Amy has planted 96 tulips.
,• Amy's rate is 32 tulips per hour.
(a)
Based on the given information, we can express the following equation.
\(60+44h=96+32h\)We solve for h.-
\(\begin{gathered} 44h-32h=96-60 \\ 12h=36 \\ h=\frac{36}{12} \\ h=3 \end{gathered}\)Therefore, after 3 hours they will have the same number of tulips planted.(b)
To find the number of tulips after three hours, we just have to replace the value in one equation.
\(60+44h=60+44(3)=60+132=192\)Therefore, after 3 hours, the number of tulips planted is 192.Triangles WILL GIVE BRAINLIEST
Answer:
A
Step-by-step explanation:
A
Answer:
Q9 - Option 1---- A - 15.6 Square Units
Q10 --Option --- (B) RECTANGLE
Step-by-step explanation:
Q9 --
Analyze:we know area of triangle = 1/2 ab sin theta
Where theta is the angle included between sides A and side B
Calculate:A = 5.2
B = 7
theta = 121 degrees
Area:1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units
Conclusion
The area of the triangle is 15.6 Square Units
Q10 - The cross-section of a right cylinder which is perpendicular to its base is a RECTANGLEOption --- (B) RECTANGLE
Hope this helps!
carlos and his crew build small wooden packing crates at a rate of 52 cates per hour how many crates can they build in 6 1/2 hours
Answer:
338 crates
Step-by-step explanation:
Find how many crates they can make by multiplying 52 by 6.5:
52(6.5)
= 338
So, in 6.5 hours, they can make 338 crates
6(2n-8)=12 I need the answer
Answer:
N = 5
Step-by-step explanation:
6 (2n - 8) = 12
12n - 48 = 12
12n = 60
n = 5
HOPE THIS HELPS
PLZZ MARK BRAINLEIST
Answer:
5 = n (i think)
Step-by-step explanation:
6(2(5)- 8) = 12
6(10 - 8)= 12
6 (2) = 12
A coin is flipped, and a number cube is rolled. What is the probability of getting heads on the coin and a number greater than 5 on the number cube?
HELPPP
Answer:
1/3
Step-by-step explanation:
if 17- 3c= 14, does 17- 3c- 4 = 14 - 3? explain.
Given that 17 - 3c = 14 it is not true that 17 - 3c - 4 = 14 -3 because in other to preserve the equality you must add or subtract the same number on both sides, which means that 17 - 3c - 4 = 14 - 4
Solve for h -110=13+3(4h-6)
Answer:
H= -35/4
Decimal form: -8.75
Explanation:
Subtract 13 from both sides. { -110 - 13 =3(4h - 6) }Simplify -110 -13 to -123 { -123 = 3 (4h - 6) }Divide both sides by 3 { -123/3 = 4h - 6 }simplify 123/3 to 41 { -41 = 4h - 6 }add 6 to both sides { -41 +6 = 4h }simplify -41 + 6 to -35 { -35 = 4h }divide both sides by 4 { - 35/4 = h }switch sides { h= - 35/4 }Are the two triangles congruent? If so, write the congruence statement.
Answer:
E
Step-by-step explanation:
● Blondies are squares with 3 inch sides. ● Brownies are squares with 6 inch sides. ● The tray that displays the blondies and brownies has an area of 648 square inches and is completely full. If she has 4 rows of blondies and 4 rows of brownies, what fraction of the area of the tray, in square inches, is blondies? Show your work.
The fraction of the area of the tray occupied by the blondies is 1/9.
To find the fraction of the area of the tray occupied by blondies, we need to determine the area occupied by the blondies and compare it to the total area of the tray.
Let's calculate the area of each individual blondie:
The blondies are squares with 3-inch sides, so the area of each blondie is 3 inches × 3 inches = 9 square inches.
Now, let's calculate the area occupied by the blondies in each row:
Since there are 4 rows of blondies and each row contains 4 blondies, the total number of blondies is 4 rows × 4 blondies per row = 16 blondies.
So, the total area occupied by the blondies is 16 blondies × 9 square inches per blondie = 144 square inches.
Next, let's determine the area occupied by the brownies:
The brownies are squares with 6-inch sides, so the area of each brownie is 6 inches × 6 inches = 36 square inches.
Since there are also 4 rows of brownies and each row contains 4 brownies, the total number of brownies is 4 rows × 4 brownies per row = 16 brownies.
Therefore, the total area occupied by the brownies is 16 brownies × 36 square inches per brownie = 576 square inches.
Now, let's calculate the total area of the tray:
Given that the tray is completely full and has an area of 648 square inches, we can subtract the area occupied by the brownies from the total area to find the remaining area occupied by the blondies:
Total area of the tray - Area occupied by the brownies = Area occupied by the blondies
648 square inches - 576 square inches = 72 square inches.
So, the fraction of the area of the tray occupied by the blondies is:
Area occupied by the blondies / Total area of the tray = 72 square inches / 648 square inches.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 72 in this case:
72 square inches / 648 square inches = 1/9.
Therefore, the blondies' percentage of the tray's surface area is 1/9.
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HELP!!!! Which statement best describes an advantage of indirect democracy over
direct democracy?
A. It can better reflect the democratic principle of majority rule.
B. It can be more responsive to citizens' interests.
C. It can make decision making more efficient.
O D. It can help citizens feel more connected to government.
SUBMIT
Answer:
C. It can make decision making more efficient.
Step-by-step explanation:
which two points on the midline function are separated by a distance of on period?
Can you please help me with the following equation
a(1.50) + b(0.50) = $7.00
Answer:
1.50a+0.50b=7.00
2.00ab=7.00
ab=3.1
The premier party ended at 11:05 P.M. and was 5 hours 25 minutes long. At what time did the premier party start?
Answer:
The elapsed time is 2 hours and 5 minutes. Example 4. The movie started at 7:30 pm and ended at 10:20 pm.
Step-by-step explanation:
Elapsed time is the amount of time that has passed between two events. You can calculate the elapsed time by figuring out the difference between the start and stop time.Here is an elapsed time problem.Soccer practice begins at 3:15 p.m. and ends at 4:45 p.m. Determine how long soccer practice lasts.To solve this problem, set up a subtraction problem that could be used to find the number of hours and minutes that pass between those two times.Subtract the starting time from the stopping time. Remember that both times represent the number of hours and minutes past noon.
5 : 40 PM
Explanation:
11 : 05 P.M
(-) 5 : 25
--------------
5 : 40 PM
At 5 : 40 PM the premier party started.Suppose a population contains 20,000 people. All else being equal, a study
based on a population sample that includes which of the following numbers
of respondents would be the most reliable?
A. 200
OB. 20
C. 2000
D. 2
A study based on a population sample that includes 2000 respondents would be the most reliable out of the given options.
In statistical analysis, the reliability of a study depends on the representativeness and size of the sample.
A larger sample size generally provides more reliable results as it reduces the sampling error and increases the precision of the estimates.
Given that the population contains 20,000 people, we need to consider which number of respondents would yield the most reliable study.
Option A: 200 respondents
This represents only 1% of the population.
While it is better than having just 2 respondents, it may not be sufficient to accurately capture the characteristics of the entire population.
Option B: 20 respondents
This represents only 0.1% of the population.
With such a small sample size, the study would likely suffer from a high sampling error and may not provide reliable results.
Option C: 2000 respondents
This represents 10% of the population.
While it is a larger sample size compared to the previous options, it still only captures a fraction of the population.
The study may provide reasonably reliable results, but there is room for potential sampling error.
Option D: 2 respondents
This represents an extremely small sample size, accounting for only 0.01% of the population.
With such a small sample, the study would be highly susceptible to sampling bias and would likely yield unreliable results.
Based on the options provided, option C with 2000 respondents would be the most reliable study.
Although it does not include the entire population, a sample size of 2000 respondents provides a larger representation of the population and reduces the potential for sampling error.
However, it's important to note that the reliability of a study depends not only on sample size but also on the sampling method, data collection techniques, and other factors that ensure representativeness.
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What is the solution to the equation?
2(x + 7) 2/3 = 8
Answer: x = -1
Step-by-step explanation:
simplify 2(x + 7) 2 / 3 = 8 to 4x + 28 = 24 and then solve it from there