Answer:
x=12
angle 2x+1= 25
angle 5x+5= 65
Step-by-step explanation:
First find x
so we know that
2x+1+5x+5+90=180
Combine like terms
7x+96=180
7x=84
x=12
plug it in
2(12)+1=
24+1=25
5(12)+5=
60+5=65
which method represents a correct way to solve the equation 2(t−5)=48?
The solution to the equation 2(t - 5) = 48 is t = 29.
To solve the equation 2(t - 5) = 48, we can use the following steps:
Distribute the 2 to the terms inside the parentheses:
2t - 10 = 48
Add 10 to both sides of the equation to isolate the variable term:
2t = 58
Divide both sides of the equation by 2 to solve for t:
t = 29
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You purchase a computer for $875.00 plus 5% sales tax.
You decide to finance it through the store's 0% program for 12 months. The terms state you pay nothing until the 12 months are over. When you receive the
bill, you forget to pay it and are assessed a late fee of $39.00 plus the interest accrued to that point at 14.25% APR. How much interest will you be charged?
O $130.25
• $130.92
O $136.48
O $124.69
You will be required to pay $130.92 in interest. So, option 2 is correct.
What is meant by interest?Simple interest is calculated using the following formula: Simple Interest (SI) is calculated as P R T / 100. P stands for the principal sum, R for the interest rate, and T for the interest period. The total amount due is the sum of the principal plus the simple interest, or P + SI.
This specific percentage represents the loan's interest rate. The cost of borrowing money is called interest, and it is usually expressed as a percentage, such as an annual percentage rate (APR). Interest may be paid to lenders for the use of their money.
You shell out $875.00 for a PC plus 5% sales tax.
Thus, the final price is 875+(0.05875)
= $918.75.
Rate per month: 14.25/12/100
= 0.011875
So, the rate for a year is 12 x 0.011875
=$130.92.
Therefore, you will be required to pay $130.92 in interest.
Hence, option 2 is correct.
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Determine the intercepts.
(X intercept & Y intercept)
Please help quick!
Answer:
x intercept= -1
y intercept= 2
←C=$● RATIOS, PROPORTIONS, AND PERCENTSFinding the principal, rate, or time of a simple interest loan or...https://www-awuExplanationAldo borrowed money from a credit union for 6 years and was charged simple interest at an annual rate of 8%. The total interest that he paid was $1920. Howmuch money did he borrow?If necessary, refer to the list of financial formulas.I need help with this problem.
To solve this problem, you can use the following formula for simple interest:
\(A=Prt,\)where P is the initial amount, r is the rate of interest in decimal form, and t is the time in years.
Substituting A=1920, r=0.08, t=6, and solving for P, you get:
\(\begin{gathered} 1920=P(0.08)(6), \\ P=\frac{1920}{0.08(6)}. \end{gathered}\)Simplifying, you get:
\(P=4000.\)Answer: \(\text{ \$4000.}\)Andrew can row his boat downstream 15 miles in the same amount of time as it takes him to row upstream 8 miles. If the current in the river is 2 mph, how fast can Andrew row in still water? (round to the tenth)
hint: t=d/t
The time that Andrew can use to row his boat in still waters would be = 5.75 hrs.
How to calculate the speed of the boat in still water?The speed can be defined as the scalar quantity that shows that amount of distance that is covered with respect to time.
The formula that can be used to calculate speed = distance/time.
The speed of the current in the river = 2 mph
The distance covered downstream = 15miles
The distance covered upstream = 8
average distance = 15+8/2 = 11.5 miles
Given 2 miles = 1 HR
11.5 miles = X
Make X the subject of formula;
X = 11.5×1/2
= 5.75 hrs
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Please help! I'll mark as brainliest
Answer:
your work is not clearly taking sorry i can't see
A, B & C form the vertices of a triangle. ∠ CAB = 90°, ∠ ABC = 49° and AB = 8. 9. Calculate the length of AC rounded to 3 SF
Answer:
/AC/=10.2
Mark as brainliest
Helppppp with this please
Answer:180
Step-by-step explanation:
hope this helps
Answer:
0.8 mm
Step-by-step explanation:
Given that you require the actual size.
The ant has been magnified by 15 X
To find the actual size divide magnified size by 15
actual size = 12 mm ÷ 15 = 0.8 mm
Chapters: 1.Integers
Answer the following questions:
1. Complete the pattern:
a) 8,3, -2, -7,
b) 20, 12, 4,
c) -14, -10, -6,
Answer:
a) -12
b) -4
c)-2
Step-by-step explanation:
a) pattern is minus 5
b) pattern is minus 8
c) pattern is plus 4
Look at the table below. What is the mode of the data
A forester shows the accompanying histogram of tree diameters he used in analyzing 27 trees in a large woods that was for sale. Was he justified in using a Normal model to analyze the woods? Explain, citing some specific concerns
Choose the correct answer below
A. Yes, because the histogram is unimodal and symmetric.
B. No, because while the histogram is unimodal, it is not symmetric
C. No, because the histogram is not unimodal or symmetric.
D. No, because while the histogram is symmetric, it is not unimodal
Yes, the forester was justified in using a Normal model to analyze the woods, because the histogram is unimodal and symmetric. So option A is correct.
A histogram is a type of graph that uses vertical bars to show the distribution of a set of data. This particular histogram is unimodal, meaning that it has one peak which is an indication that the data is distributed normally. Additionally, the histogram is symmetric, which is another indication that the data is normally distributed.
Using a Normal model to analyze the woods is a valid approach because it allows the forester to identify the average diameter of the trees, as well as the spread of the data. It also allows him to check for any outliers, or points that fall outside the normal range. With this information, the forester can determine if the woods is suitable for sale, or if the buyer should be aware of any unexpected features.
Overall, the histogram is an effective way for the forester to analyze the data and determine if a Normal model is appropriate. By noting the unimodal and symmetric nature of the histogram, the forester can be sure that a Normal model will accurately represent the data, allowing him to make an informed decision about the woods.
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At one school, the average amount of time that spend watching television each week is The principal introduces a campaign to encourage the students to watch less television. One year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased from the previous mean of
Answer:
21.6 hours
Step-by-step explanation:
Hypothesis testing allows to identify a event test. The correct order of the steps of a hypothesis test is given following
1. Determine the null and alternative hypothesis.
2. Select a sample and compute the z - score for the sample mean.
3. Determine the probability at which you will conclude that the sample outcome is very unlikely.
4. Make a decision about the unknown population.
These steps are performed in the given sequence to test a hypothesis.
The principal tests the hypothesis with a mean of 21.6 hours for the determination of average amount of time spent watching television.
write an algorithm for the following problem. it must complete in the worst case in o(log n) time. input is a base x and an exponent n, it computes x to the n. x is any real number, n is any positive or negative integer.
The problem you're asking about is to create an algorithm that computes x^n, given a real number x and an integer n, in O(log n) time complexity. The solution to this problem is the "Exponentiation by Squaring" algorithm.
Here's a concise explanation of the algorithm in 150 words:
Exponentiation by Squaring is an efficient algorithm that calculates x^n using a divide and conquer approach, which takes advantage of the fact that x^n = (x^2)^(n/2) if n is even, and x^n = x * x^(n-1) if n is odd. The algorithm computes the result recursively or iteratively, and its time complexity is O(log n), making it efficient for large exponents.
To handle negative exponents, we can use the property x^(-n) = 1 / x^n. So, if the given exponent n is negative, we can calculate the reciprocal of x and use the positive value of n in the algorithm. For the base case, when n = 0, the result is always 1, since any non-zero number raised to the power of 0 equals 1.
By using Exponentiation by Squaring, we can quickly compute x^n for any real number x and any positive or negative integer n, in O(log n) time.
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Explain how the U. S entertainment industry changed during the 1930s
The 1930s was a period of significant change in the U.S. entertainment industry, with the emergence of new technologies and the development of new forms of media. Here are some of the key changes that took place:
The rise of sound films: The introduction of synchronized sound in films in the late 1920s revolutionized the movie industry, and by the 1930s, "talkies" had replaced silent films as the dominant form of cinema. This led to a surge in demand for new films and a boom in the movie theater industry.The growth of radio: Radio broadcasting became increasingly popular in the 1930s, with programs ranging from news and current affairs to drama, comedy, and music. Radio provided a new form of entertainment and also became an important platform for advertising, with many companies sponsoring radio programs to reach a wider audience.The impact of the Great Depression: The economic downturn of the Great Depression had a significant impact on the entertainment industry, with many people struggling to afford tickets to movies and shows. As a result, many producers focused on creating more affordable forms of entertainment, such as low-budget films and radio programs.The emergence of new genres: In response to changing audience preferences, new genres of entertainment emerged in the 1930s. One of the most popular was the screwball comedy, a lighthearted and fast-paced form of comedy that often featured romantic storylines. The decade also saw the rise of gangster films, musicals, and horror movies.The impact of censorship: In 1930, the Motion Picture Production Code was introduced, which established strict guidelines for the content of movies to ensure that they were "wholesome" and "morally uplifting." This had a significant impact on the content of films and limited the freedom of filmmakers to explore controversial or taboo subjects.Overall, the 1930s was a period of significant change in the U.S. entertainment industry, with the rise of new technologies and the emergence of new forms of media leading to the development of new genres and changing audience preferences.
the larger circle has center $o$ and passes through $d$. the smaller circle has diameter $od$. what percent of the larger circle's area is gray?
25% is the larger circle area is gray.
Area of a Circle: The area of a circle is pi times the radius squared.
To calculate the area of the circle we have the formula:
A = π r²-----(1)
where
A=area
r=radius.
First, we have to analyze the given data, the large circle center o passes through d, so
Gray circle area=π*(radius)^2----(2)
The radius of the smaller circle = OD/2 substitute in (2)
Gray circle area=π*(OD/2)^2
Gray circle area=π*OD^2/4
Larger circle area=π*(radius)2
radius of the larger circle = OD
larger circle area=π*OD^2
To know the percentage of a large circle we have a small formula:
gray circle area/large circle area--------(3)
=π*OD^2/4/π*OD^2
=π*OD^2/4*1/π*OD^2=1/4
=25/100
=25%
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Find the upper bonds for the following lengths : a) 40cm measured to the nearest cm
B)82.8cm measured to the nearest tenth of a cm
Answer: a= 40.5 b= 82.85
Step-by-step explanation:
.The sides of a triangle are 8, 12, and 15. The longest side of a similar triangle is 18. What is the ratio of the perimeter of the smaller triangle to the perimeter of thelarger triangle?12:324.935:6425.36
The ratio of the perimeter of the smaller triangle to the perimeter of the larger triangle is 1.2:1
To calculate the perimeter ratio of the smaller triangle to the bigger triangle, compare the corresponding sides of the two triangles.
The scale factor of similarity is equal to the ratio of equivalent sides of similar triangles.
In this situation, the smaller triangle's longest side is 15, and the larger triangle's longest side is 18. Divide the length of the longest side of the larger triangle by the length of the longest side of the smaller triangle to find the scale factor of similarity.
The scale factor is 18/15 = 1.2.
The similarity scale factor is 1.2.
The scale factor is equal to the ratio of the perimeters of the two triangles. Therefore, the ratio of the perimeter of the smaller triangle to the perimeter of the larger triangle is:
Ratio = 1.2
So, the correct option is 1.2:1.
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1.19 as a percent please
Answer:
0.0119%
Step-by-step explanation:Correct
Answer:
119% is your answer
Step-by-step explanation:
Fiona is serving iced tea and lemonade at a picnic. She has only 44 glasses in which to serve the drinks. If x represents the number of glasses of iced tea and y represents the number of glasses of lemonade, which equation represents the number of glasses of ice tea she can serve?
x minus y equals 44
44 plus y equals x
y minus x equals 44
Answer: Your answer would be the first one
Answer:
D. x=44-y
Step-by-step explanation:
Just took the Unit Test on Edge and got it correct.
14. a button is connected to a0 (1 means pressed). a synchsm samples a0 every 5 ms. the button bounces for up to 20 ms. which is true? (a) a bounce will never be noticed (b) increasing the period to 30 ms helps ensure bounces will not be noticed (c) decreasing the period to 1 ms helps ensure bounces will not be noticed (d) eliminating the period so the sm runs as fast as possible helps ensure bounces will not be noticed
Decreasing the period to 1 ms helps ensure bounces will not be noticed (option c).
1. The synchsm samples the state of button A0 every 5 ms. This means that every 5 ms, it checks whether the button is pressed (1) or not pressed (0).
2. The button has a bounce duration of up to 20 ms. When the button is pressed or released, it may exhibit temporary fluctuations in its state due to mechanical factors. This is known as "button bounce."
3. To ensure that bounces are not noticed, the synchsm needs to accurately capture the true state of the button and filter out any temporary fluctuations.
4. Option (a) states that a bounce will never be noticed. However, since the button can bounce for up to 20 ms, this option is not true.
5. Option (b) suggests increasing the period to 30 ms. Increasing the period between samples would provide more time for the button to settle and reduce the chances of capturing a bounce. However, a period of 30 ms is still longer than the maximum bounce duration of 20 ms, so this option does not guarantee that bounces will not be noticed.
6. Option (c) proposes decreasing the period to 1 ms. By reducing the period, the synchsm can sample the button state more frequently, increasing the chances of capturing the true state and minimizing the impact of bounces. This option helps ensure that bounces will not be noticed.
7. Option (d) suggests eliminating the period and running the synchsm as fast as possible. However, without a period, the synchsm would continuously sample the button state, making it susceptible to capturing bounces. Therefore, this option does not help ensure that bounces will not be noticed.
Based on the above analysis, option (c) is the correct answer as decreasing the period to 1 ms helps ensure bounces will not be noticed.
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find the average rate of change for the following equation over the interval -4≤x≤1
y=x^2 + 4x -1
To find the average rate of change of a function over an interval, we need to calculate the slope of the secant line connecting the points on the function at the two endpoints of the interval.
The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. In the case of a secant line, we can calculate the slope by using the formula:
m = (y2 - y1) / (x2 - x1)
For the function y = x^2 + 4x - 1, we can plug in the values of x and y at the two endpoints of the interval, (-4 and 1), to find the slope of the secant line:
m = [(1)^2 + 4(1) - 1] - [(-4)^2 + 4(-4) - 1] / (1 - (-4))
Simplifying this expression, we get:
m = (1 + 4 - 1) - (16 + 16 - 1) / (-3)
This simplifies to:
m = -20 / -3
Therefore, the average rate of change of the function y = x^2 + 4x - 1 over the interval -4 ≤ x ≤ 1 is 6.5.
Calculate the effective interest on £2000 at 3% interest
quarterly after 4 years.
The effective interest on £2000 at a 3% interest rate compounded quarterly over a period of 4 years is approximately £245.15.
To calculate the effective interest, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the future value of the investment (including interest)
P = the principal amount (initial investment)
r = the annual interest rate (as a decimal)
n = the number of compounding periods per year
t = the number of years
In this case, the principal amount (P) is £2000, the annual interest rate (r) is 3% (or 0.03 as a decimal), the compounding is done quarterly (n = 4), and the investment period (t) is 4 years.
Plugging the values into the formula:
A = £2000(1 + 0.03/4)^(4*4)
= £2000(1 + 0.0075)^16
= £2000(1.0075)^16
≈ £2000(1.126825)
Calculating the future value:
A ≈ £2253.65
To find the effective interest, we subtract the principal amount from the future value:
Effective Interest = £2253.65 - £2000
≈ £253.65
Therefore, the effective interest on £2000 at a 3% interest rate compounded quarterly after 4 years is approximately £253.65.
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A City Council consists of nine men and six women. Three representatives are chosen at random to form a sub-committee. What is the probability one man and two women are chosen?
Answer:
0.2967 or 29.67%Step-by-step explanation:
Total number of people
9 + 6 = 15Combination of 3-people subcommitee without restrictions
15C3 = 15!/(15 - 3)!3! = 15!/12!3! = 15*14*13/2*3 = 455Combination of 3-people subcommitee with one man ad two women
9C1*6C2 = 9*6!/(6-2)!2! = 9*6!/4!2! = 9*6*5/2 = 135The probability of one man and two women are chosen
P = 135/455 = 0.2967 or 29.67%help me please fffffffffffffffffff
There is no question context so it is not sufficient for an answer, however I am assuming its asking for you based on the images to pair the charts to graph.
First lets find the slope of (20,-1) (21,-1.5)
\(Slope = \frac{y2-y1}{x2-x1}\)
-1+1.5
20-21
The slope for that chart is 0.5/-1 which is -0.5 or -1/2. This makes that chart paired with the following graph:
an izod impact test was performed on 20 specimens of pvc pipe. the sample mean is 1.25 and the sample standard deviation is 0.25. test the hypothesis that H0: ????
There is sufficient evidence to conclude that the population standard deviation is different from 0.1.
What is test statistic?
A test statistic is a figure obtained from a statistical analysis. It explains how far your observed data is from the null hypothesis, which states that there is no correlation between the variables or distinction between the sample groups.
Given,
\(H_0:\sigma =0.1\\H_a:\sigma \neq 0.1\)
Test statistic:
Chi square=(20-1)*0.25^2/0.1^2=118.75
df=20-1=19
p-value=CHIDIST(118.75,19)=0.0000
Reject the null hypothesis.
Hence, there is sufficient evidence to conclude that the population standard deviation is different from 0.1.
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Rey grew a tomato plant from seed. He measured its height
during the month of June. How much did it grow between
June 21 and June 28?
5 cm?
4 cm?
3 cm?
Answer:
3 cm
Step-by-step explanation:
6,
12 24
5'25'
Find the 7th term.
The general form of terms of a Geometric Progression Formulas is a, ar, \($$\mathrm{a} r^2\), \($$\mathrm{a} r^3$\), and so on then the 7th term of the series 6, 12, 24, ........... is 384
How to find the 7th term of the series?Let the first term (a) be 6.
The given series is in geometric progression,
we know that, 7th term = a × \($$r^{7-1}\) = a\($ r^6\)= \(6 \times(2)^{6}\) = 384
The general form of terms of a Geometric Progression Formulas is a, ar, \($$\mathrm{a} r^2\), \($$\mathrm{a} r^3$\), and so on.
Here, a is the first term and r is the common ratio.
The nth term of a Geometric Progression Formulas is \($T_n=a r^{n-1}$\)
Common ratio \($=\mathrm{r}=T_n / T_{n-1}$\)
Therefore, the correct answer is 384.
The complete question is:
Find the 7th term of the series 6,12,24,....?
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Subtract 7x² – 5x + 3 from 4x2 + 6x – 9.
Answer:
choose last option
- 3x² + 11x - 12
Step-by-step explanation:
7x² - 5x + 3 from 4x² + 6x - 9
= 4x² + 6x - 9 - ( 7x² - 5x + 3)
= 4x² + 6x - 9 - 7x² + 5x - 3
= - 3x² + 11x - 12
Answer:
3x^2+x-6 Option 2
Step-by-step explanation:
7X^2-5X+3-4X^2+6X-9
Collect Like terms
3x^2-5x+3+6x-9
Collect like terms
3x^2+x+3-9
Calculate the difference
3x^2+x-6
The graph of f(x) is shown below of g(x) and f(x) are inverse functions, which graph represents g(x)
Answer:
It's B
Step-by-step explanation:
Given that we have the graph of f(x), we want to see which one is the graph of its inverse. i just had that question and i got a 100 on it
Chloe wants to spend $44 on gift cards. If she has to pay a one -time design fee of 8 dollars and each card costs $0.75, how many cards will she be able to buy?
If Chloe wants to spend $44 on gift cards and if she has to pay a one-time design fee of 8 dollars and each card costs $0.75, then she will be able to buy 48 cards.
To find the number of cards she can buy, follow these steps:
Let's suppose Chloe will be able to buy x gift cards. So, the equation for the problem will be: 0.75x + 8 = 44Subtracting 8 from both sides of the equation, we get 0.75x = 36. Dividing both sides of the equation by 0.75, we get x = 48.Hence, Chloe will be able to buy 48 gift cards.
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