Moving along a circle that is encircled by a square is point p. The bottom-left corner of the square is fixed at point q. Drag the point p around the circle in the applet below to investigate this issue.
As Point P moves from A to \($B \rightarrow$\)
(d) Distance, increases then decreases.
As point P moves from B to \($C \rightarrow$\)
(a) Distance Decreases
As point P moves from C to \($D \rightarrow$\)
(b) Distance tier eases then increases.
a As Point P moves from D to\($A \rightarrow$\)
(c) Distance increases.
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Please help asap no wrong answers pls
Answer:
x = 20
Step-by-step explanation:
x° + 2x° + (x + 10)° = 90° ( complementary angles)
(4x + 10) ° = 90°
4x + 10 = 90
4x = 90 - 10
4x = 80
x = 80/4
x = 20
Answer:
20°
Step-by-step explanation:
#thanks me late,thankyou
the compound interest of a sum of money for 1 year and 2 years are rs 450 and rs 945 respectively. find the rate of interest compounded yearly and he sum.
Answer:
The answer is below
Step-by-step explanation:
The compound interest is given by the formula:
\(A=P(1+\frac{r}{n} )^{nt}\)
Where A is the final amount, p is the principal (initial amount), r is the rate, t is the number of period and n is the number of times it was compounded per period.
Given that:
The interest is compounded yearly, i.e n = 1, for 1 year, t = 1, the compound interest is Rs 450 i.e A = 450. Therefore:
\(450=P(1+\frac{r}{1} )^{1*1}=P(1+r)\\450=P(1+r).\ .\ .\ (1)\)
For 2 year, t = 2, the compound interest is Rs 945 i.e A = 945. Therefore:
\(945=P(1+\frac{r}{1} )^{1*2}=P(1+r)^2\\945=P(1+r)^2.\ .\ .\ (2)\)
Dividing equation 2 by equation 1 gives:
2.1 = 1 + r
r = 2.1 - 1 = 1.1
r = 1.1
Put r = 1.1 in 450 = P(1 + r)
450 = P(1 + 1.1)
450 = 1.11P
P = 405.4
Therefore the rate is 1.1 = 110% and P = Rs 405.4
A child pushes a toy car with a force of
5.25 N a distance of 6.5 m. The car rolls
for a total distance of 32 m. How much
work is done on the toy car?
The work is done on the toy car is 164.4 J .
How to calculate work done?We are aware that the definition of work is the multiplication of the magnitude of the displacement (d) and the component of the force acting in the displacement direction.
When an object moves over a distance while being applied with force, the work is considered to have been completed.
Three categories can be used to classify the type of labor performed. Positive work, negative work, and zero work are the three types. The angle between force and displacement determines the kind of work that is done. Positive work is defined as any work that causes an object to move in the direction of the applied force.
Given ,
Work = force * distance
Force = 5.2 N
Distance = 32 m
So ,
Work = 5.2 * 32
= 166. 4 J
Therefore the work is done is 164.4 J
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write an equation in point-slope form for the line through the given point with the given slope.
(-7,9); m=4/5
Answer:
y - (-7) = 4/5(x - 9)
y + 7 = 4/5 ( x - 9)
Step-by-step explanation:
As the degrees of freedom increase, the t distribution approaches the _____ distribution. a. exponential b. p c. normal d. uniform
As the degrees of freedom (DF) increase, the t distribution approaches the normal distribution. Therefore, the correct answer option is: C. normal distribution.
What is the degrees of freedom (DF)?The degrees of freedom (DF) in a sample are typically used to correct a possible bias that exists between the alternative and null hypotheses because they are the maximum number of logically independent numerical values (data points) in the final calculation of a statistical problem.
What is a normal distribution?A normal distribution is sometimes referred to as the Gaussian distribution and it can be defined as a probability distribution that is continuous and symmetrical on both sides of the mean, which shows that all data near the mean have a higher frequency than data that are far from the mean.
In this context, we can reasonably infer and logically deduce that the t-distribution generally approaches the normal distribution as the degrees of freedom (DF) increase.
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A marble is randomly selected from a bag containing three red marbles to blue marbles and three green marbles what is the probability that the selected marble is green
Answer: 1/3
aka:33.33%
Step-by-step explanation:
3/9=1/3
||-8+4|-|3-9||
Please input a step-by-step process on how you got the answer
The simplified form of the expression | |-8 + 4| - |3 - 9| | is 2.
What is the absolute value of the expression?Given the expression in the question;
| |-8 + 4| - |3 - 9| |
First, we simplify each term.
| |-8 + 4| - |3 - 9| |
Add -8 and 4
| |-4| - |3 - 9| |
Add 3 and -9
| |-4| - |-6| |
Now, the absolute value of any number is always positive.
Hence
| 4 - 6 |
Add 4 and -6
| -2 |
Since the absolute value of any number is always positive
2
Therefore, the simplified form of the expression is 2.
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Gretchen's car has a gas tank that holds 12 gallons of gas. How many quarts of gas does the gas tank hold?
Answer:
48 quarts
Step-by-step explanation:
A gallon is 16 cups and a quart is 4 cups.
So 1 gallon is 4 quarts. 12 gallons is 12 x 4 / 1.
12 x 4 = 48
48 / 1 = 48
12 gallons = 48 quarts.
Answer:
48 quarts
Step-by-step explanation:
1 quart = .25 of a gallon
multiply 12 by 4
Help HELP please
Thanks + brill
Answer:
Your hypothalamus and autonomic nervous system continuously adjust a number of complex activities in your body so your body temperature is typically near your normal. When you get hot, your hypothalamus and nervous system prompts the sweat glands to do their work.
A town has a population of 19000 and grows at 4.5% every year. To the nearest tenth
of a year, how long will it be until the population will reach 49000?
Answer:
33.1 years
Step-by-step explanation:
Let x be the number of years it takes for the population to reach 49000.
Starting with a population of 19000 and growing at 4.5% per year, the population after t years can be represented by the exponential function:
P(x) = 19000(1 + 0.045)^x
We want to find the value of x that makes P(x) = 49000.
=> 49000 = 19000(1 + 0.045)^x
Dividing both sides by 19000, we get:
=> 2.57895 = 1.045^x
Taking the logarithm of both sides with base 10, we get:
=> log(2.57895) = x log(1.045)
=> x = log(2.57895) / log(1.045)
=> x ≈ 33.1
Therefore, it will take approximately 33.1 years for the population to reach 49000.
Answer: 21.5 cause i got the answer wrong and they gave me the correct answer
classify the quadrilateral by its most specific name. then find the missing angle measure(s)
The specific name of the quadrilateral is kite
The measures of the missing angles are 75 degrees each
How to determine the quadrilateralTo determine the measure of the angle, we need to know the different properties of a kite.
The properties of a kite includes;
Two pairs of adjacent sides are equal.Two diagonals intersect each other at right angles.The longer diagonal bisects the shorter diagonal.The angles opposite to the main diagonal are equal.Since the adjacent angles are equal, we have that;
105+ x = 180
collect the like terms, we have;
x = 180 - 105
x = 75 degrees
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The quadrilateral is a kite and the missing angles are 105° and 45°
What is a kite?A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.
A kite has a pair of equal angle and the diagonals of a kite meets at 90°.
In a kite , there are two pairs of congruent or equal sides.
This means that the missing angles are
The opposite angle to 105 is also 105°
The fourth angle is calculated as;
105+105+105+x = 360
= 315 +x = 360
x = 360- 315
x = 45°
Therefore the quadrilateral is a kite and the missing angles are 105° and 45°
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the president of a large company recommends that employees perform, on average, 24 hours of community service each year. the president believes that the mean number of hours of community service performed last year was different from the recommended 24 hours. to estimate the mean number of hours of community service performed last year, the president obtained data from a random sample of employees and used the data to construct the 95 percent confidence interval (20.37, 23.49). if all conditions for inference were met, does the interval provide convincing statistical evidence, at a level of significance of
If all conditions for inference were met, does the interval provide convincing statistical evidence, at a level of significance of 95%, that the mean number of hours of community service performed last year was indeed different from the recommended 24 hours.
To determine if the 95% confidence interval provides convincing statistical evidence at a level of significance that the mean number of hours of community service performed last year was different from the recommended 24 hours, we'll analyze the constructed interval (20.37, 23.49).
1. First, observe the given confidence interval: (20.37, 23.49)
2. Identify the recommended average of 24 hours by the president.
3. Check if the recommended average is within the confidence interval.
Since 24 hours is not within the interval (20.37, 23.49), it provides convincing statistical evidence, at a level of significance of 95%, that the mean number of hours of community service performed last year was indeed different from the recommended 24 hours.
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which value makes the inequality X > 2.5 true??
Answer:
X= 5.
Step-by-step explanation:
Basically, any number that is greater than 2.5
Hope this helps. =)
Can someone help me with this math homework please!
Answer:
A ; B ; D
Step-by-step explanation:
(3+1)/12 = 1/3 (ok)
(-5+1)/-2 = -4/-2 = 2 (ok)
(1+1)/-3 = -2/3 (no)
(15+1)/1 = 16 (ok)
(-2 + 1)/5 = -1/5 (no)
Which of the following expressions correctly determines that x is greater than 10 and less than 20?
a. 10 < x < 20
b. ( 1 0 < x < 20)
c. 10 < x & & x < 20
d. 10 < x I I x < 20
Option d is not correct as it uses "II" which is not a commonly used symbol to indicate less than and greater than.
What is the correct expression to indicate?The correct expression to indicate that x is greater than 10 and less than 20 is:
a. 10 < x < 20
This is read as "10 is less than x, and x is less than 20." The symbols "<" and ">" indicate "less than" and "greater than," respectively.
Option b is not correct as it uses parentheses instead of the less than/greater than symbols.
Option c is not correct as it uses "&" and "&&" which are not commonly used symbols to indicate less than and greater than.
Option d is not correct as it uses "II" which is not a commonly used symbol to indicate less than and greater than.
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The graph below represents which system of inequalities?
Answer:
c
Step-by-step explanation:
Harlon wrote the equation to find the area of a rectangle that has a length of and a width of 18. He solved for x and got Which of the following is an equivalent equation for x
To find the area of a rectangle, we multiply its length by its width. In this case, the length is given, but the width is missing, represented by the variable x.
The equation to find the area of a rectangle is: Area = Length × Width.
In this case, the length is given and is 18. So the equation becomes: Area = 18 × Width.
To solve for x, we need to isolate it on one side of the equation. Since we want to find an equivalent equation for x, we need to rewrite the equation to solve for x.
To isolate x, we need to divide both sides of the equation by 18. This cancels out the 18 on the right side, leaving us with x on the right side:
Area/18 = Width.
This equation is equivalent to the original equation for x and represents the width of the rectangle.
In summary, an equivalent equation for x in the given problem is: Area/18 = Width.
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when conducting a hypothesis test concerning the population mean, and the population standard deviation is known, the value of the test statistic is calculated as
We need to know about test statistic to solve the problem. The formula we will need to calculate test statistic is (sample mean- population mean)/(standard deviation/\(\sqrt{size of sample}\))
Test statistic is a number calculated by a statistical test. It describes how far the observed data is from the null hypothesis of no relationship between variables or no difference among sample groups. The test statistic can be calculated using the sample mean, the population mean and population standard deviation.
test statistic= (sample mean- population mean)/(standard deviation/\(\sqrt{size of sample}\))
Therefore the formula to calculate the test statistic will be (sample mean- population mean)/(standard deviation/\(\sqrt{size of sample}\))
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Water leaking from a local reservior at the rate of 500 gallons per hour.
Answer:
what's your exact question?
Answer:
Linear
Step-by-step explanation:
It is linear because it is leaking at a constant rate
Given f(x) = -3x + 4, find f(-6).
Answer:
f(-6) = 22
Step-by-step explanation:
\(f(x)=-3x+4\\\\f(-6)=-3(-6)+4\\\\f(-6)=18+4\\\\\boxed{f(-6)=22}\)
Hope this helps.
Which function is graphed on the coordinate plane below?
Answer:
I'm really good at graphing and math so anytime you need help tell me.
also there is no coordinate plane....
Step-by-step explanation:
Please help solve the following its on "return on investment (ROI)" it dues today please!! thank you
$1.09 is Total return in investment .
What is investment?
Investments are assets that are bought or invested in to increase wealth and set aside cash from hard-earned income or gain. The main purpose of an investment is to provide an additional source of income or to generate a profit over a certain amount of time.
Any strategy for producing future revenue might be referred to as an investment. This involves, among other things, purchasing securities such as bonds, stocks, or real estate.
Total return in dollars = Profit / Initial investment
Highest = $67
Lowest = $32
no of shares price per share value
a b c = a * b
lowest price 1000 32 32000
highest price 1000 67 67000
profit = sale value - purchase value 35000
Total return in investment $1.09
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5. Which value of a satisfies this equation? x + 7 = 28
A) x = 35
B) x = 21
C) x=4
D)x = 14
Answer:
21
Step-by-step explanation:
Subtract 7 from both sides to get the answer.
Let P(n) be the statement that 13 + 23+….n3 = (n(n + 1) / 2)² for the positiveinteger n. a.) What is the statement P(1)? b.) Showthat P(1), completing the basis step of theproof?
Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.
a.) The statement P(1) is obtained by substituting n=1 into the equation. So, P(1) would be: 1³ = (1(1 + 1) / 2)²
b.) To show that P(1) is true, we need to prove that both sides of the equation are equal:
Left side: 1³ = 1
Right side: (1(1 + 1) / 2)² = (1(2) / 2)² = (2 / 2)² = 1² = 1
Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.
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a) The equation is not true for n = 1, so P(1) is false.
b) The positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1
a) To find P(1), we substitute n = 1 into the equation given:
13 = (1(1 + 1) / 2)²
13 = (1 / 2)²
13 = 1/4
The equation is not true for n = 1, so P(1) is false.
b) To complete the basic step of the proof, we need to show that P(1) is true.
However, we have just shown that P(1) is false.
This means that the statement "for the positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1.
Therefore, the proof cannot proceed and is incomplete.
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Lap Pool A has lanes for 3 swimmers and Lap Pool B has lanes for 10 swimmers. The lap pools have the same uniform depth. Lap Pool B contains approximately gallons of water.
Estimate the number of gallons of water in Lap Pool A. Express your answer in scientific notation. Explain how you determined your estimate.
Answer:
yes
Step-by-step explanation:
identify the congruence transformation shown as a reflection, translation or rotation
Answer:
Counterclockwise rotation 90°
Step-by-step explanation:
first quadrant graph -> 2nd quadrant
Counterclockwise rotation 90° : (x,y) -> (-y , x)
A store profits 9 dollars for each t shirt they sell.If the sell 42 t shirts in one day find the total profit
Answer:
The answer to your question is Marissa = 6, Trevor = 16
Step-by-step explanation:
Data
total number of t-shirts = 26
Marissa has 6 fewer than trevor
Process
1.- Write equations to solve this problem
Marissa = m
Trevor = t
m + t = 26 Equation l
m = t - 6 Equation ll
- Substitute equation ll in equation l
(t - 6) + t = 26
-Simplify
t - 6 + t = 26
2t = 26 + 6
2t = 32
t = 32/2
t = 16
- Find m
m = 16 - 6
m = 10
-Conclusion
Trevor has 16 t-shirts and Marissa has 10 t-shirts.
Answer:
$378
Step-by-step explanation:
If 42 t-shirts are sold, that means that the company earns 9 dollars 42 times.
9 x 42 = 378
have a nice day!
Pls Helo ASAP WILL GIVE BRAINLIEST and 100 points. Open the document below and answer all the questions.
Answer:
The third question is asking you to use the diamond method to solve. At the top of the x would be -16 and the bottom would be -6. The left side would have -8 and the right side would have 2. So the factored form would be (n-8)(n+2)
Step-by-step explanation:
The same thing applies to part b. The top of the x would be 15 and the bottom -8. The left would be -3 and the right would be -5. The factored from would be (x-3)(x-5)
Answer:
Wow! what a worksheet lol! I think I got all your answers here!
Step-by-step explanation:
Find the mean absolute deviation of the set of data.
1, 4, 7, 8, 10
Answer:
2.8
Step-by-step explanation:
Answer:
2.8 is the MAD
6 is the mean
Given m
11
n, find the value of x.
N
820
20
Answer: =
Submit Answer
CAN SOMEONE PLS HELP I keep getting it wrong
Answer:
x = 98
Step-by-step explanation:
x and 82 are adjacent angles on a straight line and sum to 180° , then
x + 82 = 180 ( subtract 82 from both sides )
x = 98