Answer:
3k
Step-by-step explanation:
Solve for x: 5x + 2 = 4x − 9
I need help solving this
Given
Radius : 6 cmTo find
Area of the semicirclewe know that
Area of a semicircle = πr²/2Inserting the value of radius
Area of the given semicircle = (3.14 x 6cm x 6cm)/2 Area of the given semicircle = 113.04cm²/2 Area of the given semicircle = 56.5 cm²Grandpa has a barrel of apples. 2/5 of the apple are rotten. 24 of the apples are good. How many apples are there in total?
Answer:
40 Apples
Step-by-step explanation:
3/5 of the apples are good so divide 24 by 3 which is 8, then multiply 8 by 2 which is 16, add 24 and 16 together to get 40. Let me know if I'm wrong.
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.
Determine the period
Read the excerpt from "On Beholding the Mountain."
Yes! The poor heart I used to think so brave
Is all afire, though none the flame may see.
Like to the salt-kilns there by Tsunu's wave,
Where toil the fisher-maidens wearily.
Identify the metaphor and its purpose.
The heart is a salt-kiln and reflects the intesity of pain.
The flames allow the heart to see.
The heart's flame serves as a symbol of hope for the fisherman.
The heart's flame illustrates the intensity of the writer's emotion.
The metaphor and its purpose from the excerpt from "On Beholding the Mountain" is "The heart's flame illustrates the intensity of the writer's emotion".
What is metaphor?A metaphor is a figure of speech which is used to compare two things without using "like" or "as", by making the object of the metaphor take on the characteristic of the other thing.
It is also the use of a word or phrase to refer to something that it is not, invoking a direct similarity between the word or phrase used and the thing described but without the words like or as, which would imply a simile.
Therefore, the correct answer is option D; The heart's flame illustrates the intensity of the writer's emotion.
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The difference of 5c and 4c is 602 what is c?
Answer:
I believe c = 602
5c-4c=602
c=602
y = −2x + 8
y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answer:
(3, 2)
Explanation:
y = −2x + 8 ....equation 1y = x − 1 ....equation 2======================
substitute equation 2 into 1
x − 1 = −2x + 8x + 2x = 8 + 13x = 9x = 3find y
y = x − 1y = 3 − 1y = 2solution
(x, y) ⇒ (3, 2)Answer:
(3, 2)
Step-by-step explanation:
Given
Equation 1: y = -2x + 8
Equation 2: y = x - 1
Solving by Substitution
Substitute Equation 2 into Equation 1 and solve for x:
⇒ x - 1 = -2x + 8
Add 2x to both sides:
⇒ 3x - 1 = 8
Add 1 to both sides:
⇒ 3x = 9
Divide both sides by 3:
⇒ x = 3
Now substitute the found value of x into Equation 2 and solve for y:
⇒ y = 3 - 1
⇒ y = 2
Therefore, the solution is (3, 2)
9. The following histogram is for the weights (lbs) of 63 male
college students.
a) What is the best description for the approximate shape
of this distribution?
A. Symmetric.
C. Skewed to the right. D. Bimodal
B. Skewed to the left.
b) In the histogram, how many males' weights show to be less than 150 lbs?
c) What proportion (percentage) of the weights of males is more than 230 lbs?
The distribution is bimodal (a), eight men weigh less than 150 lbs (b), and the percentage of males that weigh more than 230 lbs is 3.17%.
What can be observed in this histogram?A: Distribution: The distribution can be classified as bimodal, which means there are two peaks in the graph.
B. The number of males that weigh less than 150 lbs can be determined as follows:
110 - 120 lbs = 2 males
130 -140 lbs = 2 males
140 - 150 lbs = 4 males
2 + 2 + 4 = 8 males
C. The percentage of males that weigh more than 230 lbs can be calculated as follows:
63 = 100%
2 = x
x= 2 x 100 / 63
x = 200 / 63 = 3.17%
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Please help. Miguel had 2 bags containing number tiles as shown below. Without looking, Miguel selected one tile from each bag. What is the probability that Miguel selected two numbers less than 3?
The probability of Miguel selecting a tile number less than 3 from each bag -1 is 1/5 and bag-2 is 2/5.
The given tiles in bag-1 = {2, 4, 5, 8, 9}
Total number of tiles in bag-1 = 5
The number of tiles less than number 3 in the bag - 1 = 1
The probability of Miguel selecting a tile number less than 3 =
number of tiles less than 3 / total number of tiles = 1/3
The given tiles in bag-2 = {0, 1, 3, 6, 7}
Total number of tiles in bag-2 = 5
The number of tiles less than number 3 in the bag-2 = 2
The probability of Miguel selecting a tile number less than 3 =
number of tiles less than 3 / total number of tiles = 2/3
From the above analysis, we solved the problem.
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Evaluate:
3xy^2+7x-2y for X= -1 y= 3
Answer:
-94
Step-by-step explanation:
(3 (-1) (3))² + 7(-1) - 2(3)
-9² - 7 -6
-81 - 13
-94
hope this helps :)
writing expressions to translate the expressions below.
question 1. Six more than a number is 17
question 2. The difference of twice a number and seven
question 3. 8x-10
question 4. A number less 5 divided by 42
Please reply with an explanation.
The different expression obtained are x + 6 = 17, 2x -7, 8x -10, and (x - 5)/42.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.
Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the information is given in the question,
(1)
Let the number is x.
x + 6 = 17
x = 17- 6
x = 11
(2)
The expression for the difference of twice a number and seven is,
Let the number is x,
Twice of the number is 2x
Then,
2x -7
(3)
The expression will be,
8x -10 or,
x = 10/8.
(4)
The expression for the statement will be,
Let the number be x.
Number less than 5, x - 5
Then it is divided by 42
(x - 5)/42
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-27.8÷1/7=
what is the answer
Answer:
The answer should be -194.6
Step-by-step explanation:
Have a great day :)
(a) A survey of the adults in a town shows that 8% have liver problems. Of these, it is also found that 25% are heavy drinkers, 35% are social drinkers and 40% are non-drinkers. Of those that did not suffer from liver problems, 5% are heavy drinkers, 65% are social drinkers and 30% do not drink at all. An adult is chosen at random, what is the probability that this person i. Has a liver problems?
Answer:
The probability that the selected adult has liver problems is 0.08
Step-by-step explanation:
In this question, from the data given, we want to calculate the probability that an adult selected at random has liver problems.
Let E(L) be the event that an adult has liver problems.
The probability is directly obtainable from the question and it is given as 8%
Thus, the probability that the selected adult has liver problems; P(L) = 8% = 8/100 = 0.08
A state lotto has a prize that pays $2,000 each week for 20 years.
Find the total value of the prize:
If the state can earn 5% interest on investments, how much money will they need to put into an
account now to cover the weekly prize payments?
Answer: state will need to put $686,539.98 into an account now to cover the weekly prize payments for the next 20 years, assuming a 5% interest rate.
Step-by-step explanation:
To find the total value of the prize, we can multiply the weekly prize amount by the number of weeks in 20 years:
Total value of prize = $2,000/week x 52 weeks/year x 20 years = $2,080,000
To determine how much money the state will need to put into an account now to cover the weekly prize payments, we can use the present value formula:
Present value = Future value / (1 + r)^n
where r is the interest rate and n is the number of compounding periods.
In this case, we want to find the present value of 20 years' worth of weekly payments, so n = 20 x 52 = 1,040 (assuming 52 weeks in a year).
The interest rate is 5%, so r = 0.05.
Plugging in the values, we get:
Present value = $2,080,000 / (1 + 0.05)^1,040
Present value = $686,539.98 (rounded to the nearest cent)
Therefore, the state will need to put $686,539.98 into an account now to cover the weekly prize payments for the next 20 years, assuming a 5% interest rate.
Can you please help me?!
Answer:
you can travel 5 miles in 1 hr
Step-by-step explanation:
20/4 = 5
asap i need help with my missing homework
HELP PLS MATH WILL GIVE YOU BRANLYY
Answer: A and E
Step-by-step explanation:
12. Jason wants to walk the shortest distance to getfrom the parking lot to the beach.RefreshmentStand40 mBeach30 mParkingLota.How far is the spot on the beach from theparking lot?How far will his place on the beach be fromthe refreshment stand?b.
In order to find the distance between the parking lot and the beach, we can use sine and cosine relations of the angles shown below:
Knowing that these angles are congruent and using the sine relation of the blue angle and the cosine relation of the green angle, we have:
\(\begin{gathered} \sin (\text{blue)}=\frac{h}{30} \\ \cos (\text{green)}=\frac{h}{40} \end{gathered}\)Now, since the angles are the same, we can use the property:
\(\begin{gathered} \sin ^2a+\cos ^2a=1 \\ (\frac{h}{30})^2+(\frac{h}{40})^2=1 \\ \frac{h^2}{900}+\frac{h^2}{1600}=1 \\ \frac{16h^2+9h^2}{14400}=\frac{14400}{14400} \\ 25h^2=14400 \\ 5h=120 \\ h=24 \end{gathered}\)So the distance wanted is 24 meters.
b) Now, let's find the distance from the beach to the refreshment stand using the Pythagorean theorem in the upper right triangle:
\(\begin{gathered} h^2=a^2+b^2 \\ 40^2=24^2+x^2 \\ 1600=576+x^2 \\ x^2=1024 \\ x=32 \end{gathered}\)So the distance wanted is 32 meters.
Find the missing angles
Answer:
1: a= 55
b= 125
2: b = 73
c = 107
Step-by-step explanation:
1: let c
c = 125 ( being alternate angle)
a+c = 180 (linear pair)
a = 180 - 125
a = 55
b=c=125 (being vertically opposite angle)
--------------------------------------------------------------------------------------------------
2: let a
42+65+a = 180 (sum of angle of a triangle)
a = 73
b = 73 (being vertically opposite angle)
b+c = 180 (being linear pair)
c = 180-73
c = 107
The mean height of the students in a class is 152 cm. The mean height of boys is 158 cmwith a standard deviation of 5 cm. And the mean height of girls is 148 cm with a standarddeviation of 4 cm. Find the percentage of boys in the class and also the S.D of heights of allthe students in the class?
The percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78% and 9 cm respectively
How to find the percentage of boys in the class?Percentage of the boys in the class deals with a ratio of the boys to the number of students in the class
The given parameters that will help us to get the percentage are
Mean height of the class = 152 cm
Mean height of the boys = 158 cm
The standard deviation of the boys = 5 cm
Mean height of the girls = 148 cm
Standard deviation of the girls = 4 cm
(1) The percentage of boys in the class is
Total mean height = 158 +148 = 306
Percentage = 158/306 * 100 = 51.6%
Then the percentages 51.6/100 * 152 = 78%
(2) The total standard deviation of all the students
Boys + girls = 5+4 = 9 cm
Therefore, the percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78 students and 9 cm respectively
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Question 11 of 25
Company A charges a $120 annual fee plus $7 per hour car share fee.
Company B charges $100 plus $9 per hour. What is the minimum number of
hours that a car share needs to be used per year to make company A a better
deal?
A. 12
B. 11
O C. 10
D. 9
Answer: is A
Step-by-step explanation:
B is the midpoint of AC, D is the midpoint of CE, and AE = 11. Find BD.
A. 4.5
B. 5.5
C. 11
D. 22
Answer:
5.5
Step-by-step explanation:
B is the midpoint of AC, D is the midpoint of CE
This means that CE = 1/2 AE
CD = 1/2 ( 11)
CD = 5.5
4 + (8 + 4)3power -5
Answer:
i dont know what you want but exact form is 983/243
decimal form is 4.04526748
mixed form 4 \(\frac{11}{243}\)
Step-by-step explanation:
15. Many people swimming in a pool experience pain in their ears if they dive to the
bottom. Why is this?
A. Pressure increases as the depth of the water column above them increases.
B. The area of the pool is wider where it's deeper.
C. Pressure decreases as the depth of the water column above them increases.
D. The vapor pressure at the surface is removed.
Answer:
The answer is Ahope this helps
What is 420 in exponential form
Answer:
420 = 4.2 x 100 = 4.2 × 102
Step-by-step explanation:
Solve for the unknown. q- 5/6=1 5/6
Answer:
q=8/3
Step-by-step explanation:
First, add 5/6 to both sides to get rid of -5/6 to get q=16/6 then simplify to q=8/3.
Answer:
\(q=2\frac{2}{3}\)
Step-by-step explanation:
The given equation consists of a fraction and a mixed number.
First, convert the mixed number into an improper fraction by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:
\(q-\dfrac{5}{6}=1 \frac{5}{6}\)
\(q-\dfrac{5}{6}=\dfrac{1 \cdot 6+5}{6}\)
\(q-\dfrac{5}{6}=\dfrac{11}{6}\)
Now, add 5/6 to both sides of the equation to isolate q:
\(q-\dfrac{5}{6}+\dfrac{5}{6}=\dfrac{11}{6}+\dfrac{5}{6}\)
\(q=\dfrac{11}{6}+\dfrac{5}{6}\)
As the fractions have the same denominator, we can carry out the addition by simply adding the numerators:
\(q=\dfrac{11+5}{6}\)
\(q=\dfrac{16}{6}\)
Reduce the improper fraction to its simplest form by dividing the numerator and denominator by the greatest common factor (GCF).
The GCF of 16 and 6 is 2, therefore:
\(q=\dfrac{16\div 2}{6 \div 2}\)
\(q=\dfrac{8}{3}\)
Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:
\(q=2 \; \textsf{remainder}\;2\)
The mixed number answer is the whole number and the remainder divided by the denominator:
\(q=2\frac{2}{3}\)
A box contains 2 red marbles, 5 green marbles and 8 blue marbles. Find the probability of the different events.
P ( 3 blue ) =
P (blue & green)
The value of the probability of the different events are,
The value of the probability P (3) is,
⇒ 1 / 5
And, The value of the probability P (blue & green) is,
⇒ 8/45
We have to given that;
A box contains 2 red marbles, 5 green marbles and 8 blue marbles.
Hence, Total marbles = 2 + 5 + 8 = 15
So, The value of the probability P (3) is,
⇒ 3 / 15
⇒ 1 / 5
And, The value of the probability P (blue & green) is,
⇒ 8/15 x 5/15
⇒ 8/15 x 1/3
⇒ 8 / 45
Thus, The value of the probability P (3) is,
⇒ 1 / 5
And, The value of the probability P (blue & green) is,
⇒ 8/45
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in rhombus BEAC diagonals BA and EC intersect at H If EA=5 and AH=3 what is the length of EH?
Answer:
we, don't know
Step-by-step explanation:
sorry! You can ask experts
find the general solution for: cos(x+30)=-1
The required, general solution for x that satisfies the equation cos(x + 30) = -1 is x = (2n + 1)π - 30.
To find the general solution for the equation cos(x + 30) = -1, we can start by considering the general form of the cosine function. The cosine function has a period of 2π, meaning it repeats every 2π radians.
In this equation, we have cos(x + 30) = -1. Since the cosine function has a maximum value of 1 and a minimum value of -1, the only way for cos(x + 30) to equal -1 is if x + 30 is an odd multiple of π. We can write this as:
x + 30 = (2n + 1)π
Here, n is an integer representing the number of periods of the cosine function. To find the general solution, we can solve for x by subtracting 30 from both sides:
x = (2n + 1)π - 30
This equation gives us the general solution for x that satisfies the equation cos(x + 30) = -1. We can see that for each integer value of n, we have a different solution.
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