Answer:
15
Step-by-step explanation:
The plane is 180 degrees, all you need to do is subtract 60 then divide the answer by 8.
(180-60)/8=15
This is 7th grade math bro
What is the perimeter of the triangle?
units
Stuck? Watch a video or use a hint.
Report
The urface area of a cylinder i 24π m². The ditance around the bae of the cylinder i 3π meter and the diameter of a bae of the cylinder i 4 meter. What i the height of the cylinder? Enter your anwer, a a implified fraction, in the box
After solving, the height of the cylinder is 6 meters.
The surface area of a cylinder is 24π m².
The distance around the base of the cylinder is 3π meter.
The diameter of a base of the cylinder is 4 meter.
Now the radius of the cylinder = diameter/2
The radius of the cylinder = 4/2
The radius of the cylinder = 2 meter.
The formula of surface area of cylinder:
S = 2πrh
From the question:
2πrh = 24π
Now putting the value of r
2π × 2 × h = 24π
4πh = 24π
Divide by 4π on both side, we get
h = 6
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The complete question is:
The surface area of a cylinder is 24π m². The distance around the base of the cylinder is 3π meter and the diameter of a base of the cylinder is 4 meter. What is the height of the cylinder? Enter your answer, in a simplified fraction, in the box.
Practice Problem F р You took Loan of 5000 for 24 months on 1% per month, 1- Find A = 23.55 2- Find the interest and principal in the 7th payment?
1- A = 23.55
2- In the 7th payment, the interest is $50 and the principal is $193.55.
To find the value of A, we can use the formula for calculating the monthly payment on a loan. Given that you took a loan of $5000 for 24 months at an interest rate of 1% per month, we can substitute these values into the formula. By doing so, we find that A is equal to $23.55.
To determine the interest and principal in the 7th payment, we need to understand how loan payments are typically structured. Each monthly payment consists of both interest and principal components. Initially, the interest portion is higher, while the principal portion gradually increases over time.
In this case, we know the loan amount is $5000, and the loan term is 24 months. To find the interest and principal in the 7th payment, we need to calculate the remaining balance after the 6th payment.
To calculate the remaining balance after the 6th payment, we subtract the total amount paid from the initial loan amount. The total amount paid after 6 payments can be calculated by multiplying the monthly payment (A) by the number of payments (6). In this case, 6 * $23.55 equals $141.30.
Next, we subtract the total amount paid ($141.30) from the initial loan amount ($5000) to get the remaining balance, which is $4858.70.
Now, we can calculate the interest in the 7th payment. Since the interest rate is 1% per month, the interest for the 7th payment can be found by multiplying the remaining balance ($4858.70) by 1% (0.01), resulting in $48.59. Therefore, the interest in the 7th payment is $48.59.
To find the principal in the 7th payment, we subtract the interest ($48.59) from the monthly payment ($23.55). This gives us $174.96. However, we need to adjust the principal amount to match the remaining balance after the 6th payment. Therefore, we subtract the remaining balance after the 6th payment ($4858.70) from $174.96 to find the adjusted principal, which is $193.55.
In summary, in the 7th payment, the interest is $48.59 and the principal is $193.55.
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Segment AC has a midpoint at (4,4) and point A is at (1,1). Find the distance from point C to point Z if point Z has coordinates of (9,14).
Round to the nearest tenth, if necessary.
CZ = ______
Answer:
cz = \sum _{n=0}^{\infty }\frac{3}{2^n}
Step-by-step explanation:
Answer:
7.3
Step-by-step explanation:
Midpoint(x,y): x = (x1+x2)/2 y = (y1+y2)/2
4 = (1+x2)/2 x2=7
4 = (1+y2)/2 y2 = 7
C (7 , 7)
distance CZ = √(9-7)² + (14-7)² = √53 = 7.3
In the triangle below, what is the length of the hypotenuse?
A. 3√3
B. 6
C. 3√2
D. √3
Answer:
B. 6Step-by-step explanation:
I'd like to begin by apologizing for the late reply.
PROCESS:
1) Begin by analyzing the triangle
2) Notice how you can take the sin of 30 to find the hypotenuse
3) sin30= 3/x
4) If you don't see how I did that, a fun trig word play for functions, is
S O/H
C A/H
T O/A
where
S= Sine
C= Cosine
T= Tangent
O= Opposite
H= Hypotenuse
A= Adjacent
so side opposite of 30 is side 3, and the hypotenuse is x.
5) sin30= 3/x = 6
6) Your answer, hypotenuse is 6
BONUS: If you want to find the base length, use Pythagorean theorem.
c=√a2+b2
b=√c2-a2= √6^2 - 3^2= 5.19 or 5.2
PLEASE HURRY! Jacob is saving to buy an electronic tablet that costs $380 including tax and has saved $150. Jared plans to earn the rest of the money by mowing lawns and will charge $12 for each lawn he mows.
Write an inequality to find x, the minimum number of lawns Jacob will need to mow in order to buy the ticket.
Show how to solve the inequality and explain what the solution means.
Answer:
To find the minimum number of lawns Jacob will need to mow, we can set up the following inequality:
12x + 150 >= 380
To solve this inequality, we need to get x by itself on one side of the inequality. We can do this by subtracting 150 from both sides of the inequality:
12x >= 230
Then, we can divide both sides of the inequality by 12 to get the value of x:
x >= 19.17
Since x represents the number of lawns Jacob needs to mow, it must be an integer. Therefore, the minimum number of lawns Jacob will need to mow is 20.
This means that Jacob needs to mow at least 20 lawns in order to earn enough money to buy the electronic tablet. If he mows more than 20 lawns, he will have more than enough money to buy the tablet.
Anyone help me with this please
Answer: B. 4x + 17 = 23
Step-by-step explanation:
There are 4 x's, a 17, and it shows that the total is 23.
4 x's = 4 × x = 4x
4x + 17 = 23
Hope I helped!
Answer:
Answer would be B.
Step-by-step explanation:
Can someone help me with these please
Answer:
C which is 12
36 and 48 are both a multiple of 12
This sample is selected by dividing the population into subgroups and then taking a fixed number of units from each group using the simple random sample. simple random sample stratified random sample cluster random sample Voluntary random sample
The correct sampling method described in the question is a stratified random sample among the simple random sample, stratified random sample, cluster random sample and Voluntary random sample
The sampling method described in the question is a stratified random sample.
In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.
In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.
Other sampling methods mentioned in the question are:
Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.
Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.
Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.
Therefore, the correct sampling method described in the question is a stratified random sample.
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Can someone help with this.
Answer:
its A
Step-by-step explanation:
All four angles are not congruent, only the two opposite of each other are congruent
A dinner check is to be split among 3 people. Greg’s portion of the check is twice Kelly’s. Joe’s portion is $1.50 less than 4 times Kelly’s. If the total bill is $114.00, how much does each person owe?
Answer:
Kelly owes $16.5
Greg owes $33
Joe owes $64.5
Step-by-step explanation:
Let
Kelly's portion = x
Greg's portion = 2x
Joe's portion = 4x - 1.50
Total bill = $114.00
Total bill = Kelly's portion + Greg's portion + Joe's portion
114 = x + 2x + (4x - 1.50)
114 = 3x + 4x - 1.50
114 = 7x - 1.50
Add 1.50 to both sides
114 + 1.50 = 7x - 1.50 + 1.50
115.5 = 7x
Divide both sides by 7
x = 115.5 / 7
= 16.5
x = $16.5
Kelly's portion = x
x = $16.5
Greg's portion = 2x
= 2 × 16.5
= $33
Joe's portion = 4x - 1.50
= 4(16.5) - 1.50
= 66 - 1.50
= $64.5
Therefore,
Kelly owes $16.5
Greg owes $33
Joe owes $64.5
elect the two true statements below.
A-3>-5
A
B-5>-3
C -5<-3
D-3<-5
Answer:
A and C are the right statements
What transformation has changed the parent function f(x) = (0.5)x to its new appearance shown in the graph? exponential graph passing through point negative 3, 2 and negative 2, 1 a f(x) − 2 b f(x + 2) c f(x) + 1 d −1 • f(x)
Correct option is A, f(x) -2 has changed the parent function f(x) = (0.5)x to its new appearance.
What modification has caused the parent function to change?The parent function f(x) = log5x has been modified by reflecting it over the x-axis, extending it vertically by a factor of three, and moving it down by three units.
In the picture below you can see the blue line is the graph of the function
f(x) = log(5x) and the green line is the graph of the function
g(x) = log[5(x + 4)] - 2
Since the function f passes at point (2, 1), we must reduce it by 2 units to ensure that it also passes at position (-2, -1). To do this, we add 2 to the function f.
We only need to add 4 to the variable x to have the function go left when we obtain log(5x) - 2.
The function shifts to the left when you add a number to x;
The function moves to the right when you remove a number from x;
The function increases when you add a number to it;
The function decreases when you take a number away from it.
Then we get a function g(x) = log[5 (x + 4)] - 2.
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Pleaseeee help ill make u brain list
Answer:
a and c
Step-by-step explanation:
100 points to who ever helps me love you so much if u help me
Answer:
Slope: -1/2
take 2 points from the line (3,-2) & (-3,1) and use slope= y2-y1/x2-x1
Hope i helped plz mark brainliest if u want
Step-by-step explanation:
the probability of a new employee passing a test is .20. what are the odds of the employee passing the test?
The odds of the employee passing the test are 0.25. Alternatively, we can say that the employee has a 1 in 4 chance of passing the test if the probability is 0.20
What is probability?Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents impossibility (an event that cannot occur) and 1 represents certainty (an event that is certain to occur).
For example, if you toss a fair coin, there are two possible outcomes: heads or tails. The probability of getting heads is 0.5 (or 1/2) because there is one favorable outcome (heads) out of two possible outcomes (heads or tails).
According to the given informationThe odds of an event happening are defined as the ratio of the probability of the event occurring to the probability of the event not occurring. Mathematically, odds can be expressed as:
odds = P(event happening) / P(event not happening)
In this case, the probability of the employee passing the test is 0.20, so the probability of the employee not passing the test is 0.80 (since the sum of probabilities of all possible outcomes must be 1).
Therefore, the odds of the employee passing the test can be calculated as:
odds = 0.20 / 0.80 = 0.25
So the odds of the employee passing the test are 0.25. Alternatively, we can say that the employee has a 1 in 4 chance of passing the test (since 0.25 can be written as a fraction of 1/4).
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Step 5 Since x + 8 is always positive, we can use various rules for operating with logarithms to write the following. Inly] = { In(x2 + 8) + C Inly = + In ec Step 6 Solving for y and writing the equation in its entirety we get , where K = te or k = 0. Submit Skip (you cannot come back)
Step 5 is saying that because x + 8 is always positive, we can use logarithmic rules to simplify the equation. Specifically, we can write In(x^2 + 8) as In(x + √8) + In(x - √8), and we can combine the two logarithmic terms to get In(x + √8)(x - √8), which simplifies to In(x^2 - 8).
Therefore, the equation becomes In(y) = In(x^2 - 8) + C.
Step 6 involves solving for y and writing the equation in its entirety. To do this, we can use the fact that In(y) = In(e^k), where k is a constant.
Therefore, we can rewrite the equation as e^(In(y)) = e^(In(x^2 - 8) + C).
Using logarithmic rules, we can simplify this to y = e^C * (x^2 - 8)^k, where K = e^C or k = 0. This is the final equation.
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a common everyday counting unit that is used to mean 12 of an object is a____
A common everyday counting unit that is used to mean 12 of an object is a Dozen
Dozen is derived from the Old French word "douzaine" which means twelve each. In most situations, a dozen is used to refer to a group of twelve items. The term dozen is also used in informal situations to refer to a very large number of objects. For example, one might say "I have dozens of friends!" to mean that they have a lot of friends.
Dozen is a useful term when counting items. It allows for large numbers to be easily broken down into manageable groups. For example, if you have 120 pencils, you could easily count them by saying that you have 10 dozen pencils. It can also be useful when talking about fractions. For example, instead of saying "one and a half of an item," one could say "one and a half dozen of an item."
Dozen is a common everyday counting unit that is used to mean 12 of an object. It is a useful term when counting items and when talking about fractions, and can be used in both formal and informal settings.
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a scientist cannot read a data point in a list of weights of newborn babies. the report, however, notes that the median weight is 8.6. what is the missing weight? 7.6 8.1 8.8 8.8 8.9 a. 8.1 b. 8.4 c. 8.6 d. 8.8
The missing weight is 8.8 (option d).
The missing weight in the list of weights of newborn babies can be determined by finding the median weight. The median weight is the middle value when the weights are arranged in ascending order.
Given that the median weight is 8.6, we can compare it with the given weights to find the missing weight.
Comparing 8.6 with the given weights, we see that 8.6 is greater than 8.1 and 8.4, but less than 8.8 and 8.9.
Therefore, the missing weight is 8.8 (option d).
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Here is a scatterplot showing the relationship between the number of turnovers and the number of points scored for players in a recent NBA season. The correlation for these data is r = 0.92.
Interpret the correlation
Yes.There is a strong , positive association,so an increase in turnovers causes an increase in points for NBA players..
Given that,
This scatterplot illustrates the correlation between a player's turnover rate and their points scored during a recent NBA season. 3000 2500 2000 Points 1500 and r= 0.92
r = 0.92 A strong positive (upward sloping) linear relationship
While a correlation of 0.10 would be a modest positive correlation, a correlation of 0.97 is a significant negative correlation.
Hence, Yes. Because there is a significant positive correlation, more turnovers result in more points for NBA players.
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15% discount off of $35.
Original:
Discount:
New price
Plz help
Answer:
It $29.75
Step-by-step explanation:
Answer:
Orignal Price: $35
Discount Price: $29.75
Step-by-step explanation:
The original price is $35 since it says 15% off of $35. To get the discount price you would use the equation 35-15%, which would give you $29.75. Your new price is $29.75.
Hope this is what you were looking for. :D
Amy has 10 yards of border to form 4 sides to make a rectangular garden. Which expression does NOT equal the length of one of these sides?
2.5
10(4)
10/4
\(\frac{10}{4}\)
Answer:B trust me i already did it
Step-by-step explanation:poooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
Find the value of ‘m’ in 3m+12=15
\( \sf3m + 12 = 15 \\ \sf3m = 15 - 12 \\ \sf3m = 3 \\ \sf \: m = \frac{3}{3} \\ \sf \: m \: = \underline{ \bf \: 1}\)
-> Just move all the numbers from the left side to the right side until only the variable is left. Then you can solve the equation & find the required value.
3 m+ 12 = 15
⇔3 m= 3
⇔m= 1
Sara bought a dress on sale for $33. She saved 40%. What was the original cost? $
Answer:
$55
Step-by-step explanation:
Step 1
Subtracted the discounted price by 100 to find the percentages original price giving you *60%*
Step 2
Multiply the price payed(final price which is $33) by 100 giving you *3300*
Step 3
Go back to step 1 and divide your answer in step 2(3300) by the percentage in step 1(60%) (3300/0.60=55)
You have $1200 to deposit into an account that pays 4.5% interest compounded continuously. How
much will be in the account after 8 years? Round to the nearest dollar. *
Answer:
The final balance is £1,720.
The total compound interest is £520
you don't even to round it at all
there are red blue and green ribbon on the tabel.there are a total of 36 ribbon.3/6 of the ribbon is red.how manny ribbon is red
Answer:
18
Step-by-step explanation:
3/6 =1/2
1/2 of 36 is 18
a gas station sells regular gas for $2.10 per gallon and premium gas for $2.90 a gallon. at the end of a business day 280 gallons of gas had been sold, and receipts totaled $652. how many gallons of each type of gas had been sold?
200 gallons of regular gas and 80 gallons of premium gas were sold.
Let the amount of regular gas sold be x gallons. So, the amount of premium gas sold will be (280 - x).
Now, forming the equation using the given information, to find the amount of each type of gallon.
Equation -
2.10x + 2.90(280 - x) = 652
Performing multiplication with values inside bracket in Left Hand Side
2.10x + 812 - 2.90x = 652
Rewriting the equation -
812 - 652 = 2.90x - 2.10x
Performing subtraction
160 = 0.8x
Rewriting the equation according to x
x = 160÷0.8
Performing division to find the value of x
x = 200
So, 200 gallons of regular gas was sold.
Amount of premium gas sold = 280 - 200
Performing subtraction
Amount of premium gas sold = 80 gallons
Hence, 200 gallons of regular gas and 80 gallons of premium gas was sold.
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MLA = 70° c= 26 α=25
Answer:
See below.
Explanation:
First look at image attached
From the information given, we can solve this using the Sine Rule:
The sine rule states that:
sin
A
a
=
sin
B
b
=
sin
C
c
Finding angle C. Since we know angle A and side a, we will use:
sin
A
a
=
sin
C
c
sin
(
70
o
)
25
=
sin
C
26
⇒
sin
C
=
26
sin
(
70
o
)
25
=
0.9778
C
=
sin
−
1
(
sin
C
)
=
sin
−
1
(
0.9778
)
=
77.76
o
Angle
B
=
180
o
−
(
70
o
+
77.76
o
)
=
32.24
o
Side b:
sin
(
70
o
)
25
=
sin
(
32.24
o
)
b
⇒
b
=
25
sin
(
32.24
o
)
sin
(
70
o
)
=
14.19
So the solution is:
A
=
70
o
B
=
32.24
o
C
=
77.76
o
a
=
25
b
=
14.19
c
=
26
How do I find the Derivative of a Function where the x is a number?
If I was to find d/dx g(1) for example, would I first find the value of the function g(x) at x=1 and then find the derivative of that which becomes 0 because the result would probably be a constant. Or do I first find the derivative of g(x) and then plug in x=1 to calculate it?
Thanks
Given a function g(x), its derivative, if it exists, is equal to the limit
\(g'(x) = \displaystyle\lim_{h\to0}\frac{g(x+h)-g(x)}h\)
The limit is some expression that is itself a function of x. Then the derivative of g(x) at x = 1 is obtained by just plugging x = 1. In other words, find g'(x) - and this can be done with or without taking a limit - then evaluate g' (1).
Alternatively, you can directly find the derivative at a point by computing the limit
\(g'(1) = \displaystyle\lim_{h\to0}\frac{g(1+h)-g(1)}h\)
But this is essentially the same as the first method, we're just replacing x with 1.
Yet another way is to compute the limit
\(g'(1) = \displaystyle\lim_{x\to1}\frac{g(x)-g(1)}{x-1}\)
but this is really the same limit with h = x - 1.
You do not compute g (1) first, because as you say, that's just a constant, so its derivative is zero. But you're not concerned with the derivative of some number, you care about the derivative of a function that depends on a variable.
How much time will it take your savings to double in value if the interest rate is 3%? What if the interest rate was 8%? Compute both answers by applying the "Rule of 72." Show all work
For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.
The "Rule of 72" is a quick estimation method to determine the time it takes for an investment or savings to double in value. By dividing 72 by the interest rate, you can obtain an approximation of the doubling time. For an interest rate of 3%, it would take approximately 24 years for the savings to double. For an interest rate of 8%, it would take around 9 years for the savings to double.
To calculate the doubling time using the Rule of 72, divide 72 by the interest rate. This provides an approximation of the number of years it takes for an investment or savings to double in value.
For an interest rate of 3%, we divide 72 by 3: 72 / 3 = 24. Therefore, it would take approximately 24 years for the savings to double.
For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.
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