Solve the system of equations
y=3x+30
y=8x
_______________________
x= ??
y= ??
In a game of poker 5 cards are drawn from a pack of 52 well shuffled cards. find the probability that at least one ace is drawn
Please Help
A motorcycle cost $12,000 when it was purchased. The value of a motorcycle decreases by 6% each year. Find the rate of decay each month and select the correct answer below.
−0.005143%
−0.5143%
−0.005%
−0.5%
The rate of decay each month is given by 0.5143% and this can be determined by forming the expression from the given data.
Given :
A motorcycle cost $12,000 when it was purchased.The value of a motorcycle decreases by 6% each year.There are 12 months in a year then the value motorcycle retains every year is:
[tex]x^{12}=0.94[/tex]
Now, take the log on both sides in the above equation.
[tex]\rm logx^{12}=log(0.94)[/tex]
12 log x = log(0.94)
Now, divide log(0.94) by 12 in the above expression.
[tex]\rm log x = \dfrac{log(0.94)}{12}[/tex]
log x = -0.00223934553
[tex]x = 10^{-0.00223934553}[/tex]
x = 0.994856987
Now, to determine the rate of decay:
= (1 - x)100
= (1 - 0.994856987)100
= (0.005143)100
= 0.5143%
Therefore, the correct option is B).
For more information, refer to the link given below:
https://brainly.com/question/9695463
Why does an enzyme function as a catalyst in a reaction?
A. It maintains the proper temperature needed for the reaction.
B. It decreases the amount of energy needed for the reaction.
C. It creates the right pH needed for the reaction.
D. It provides the extra energy needed for the reaction.
Answer: Less energy is required for the reaction so B
Step-by-step explanation:
6) On a trip to his grandparents, Donny drove 60 miles per hour for 45 minutes and 50 miles per hour for 30 minutes. How many miles did Donny drive?
Bob's carpet cleaning company uses the equation y=22x+30 to calculate cost, y, to clean x numbers of rooms. Andy's carpet cleaning company uses the table below to calculate the cost to clean rooms.
Laura needs 5 rooms cleaned. Which company charges less and by how much less?
How does a high-mass star differ from a low-mass star as both enter the final stages of their life cycle?
A. A high-mass star dies more explosively.
B. A high-mass star ends in a nova event.
C. A high-mass star ends when it runs out of hydrogen.
D. A high-mass star converts helium to carbon, whereas a low-mass star does not.,
Select the actual distances represented by the following scale distances if the map scale is 1 centimeter = 1 kilometer
23 centimeters =
a. 0.023 kilometers
b. 0.23 kilometers
c. 23 kilometers
0.5 centimeters =
a. 0.5 kilometers
b. 50 kilometers
c. 500 kilometers
9 centimeters =
a. 0.9 kilometers
b. 9 kilometers
c. 0.009,
Answer:
Correct options are:
c
a
b
Step-by-step explanation:
The map scale is:
1 centimeter = 1 kilometer
23 centimeters=23 kilometers
Correct option is: c
0.5 centimeters=0.5 kilometers
Correct option is: a
9 centimeters=9 kilometers
Correct option is: b
Someone please help me
FOR THESE 3 QUESTION I WILL GIVE 40 POINTS BRAIN LEST AND 5 STAR RATEING
The number of assists per match for the setter on your school's volleyball team has a mean of 58 and a standard deviation of 7. If in the last game he made 77 assists, how many standard deviations is that from the mean?
Interest rates of 5%,6%,8%, earned on investments of $13,000,$12,000,$4,000. Calculate total amount of interest earned
A car traveled 75% of the way from town A to town B at an average speed of 50 kmph. The car travels at an average speed of S kmph for the remaining part of the trip. The average speed for the entire trip was 40 kmph. What is S?,
Please help asap!!! 16 points
What is the volume of a cube whose edges each have a measure of 1.5 cm?
A)2.25 cm³
B)3.375 cm³
C)4.5 cm³
D)9 cm³
I saw this question and I realized that it had the wrong answer. The actual answer is 3.375cm
Circle Y is shown. What is the area of the shaded part of the circle?
This question will employ the use of the formula for the area, A, of a sector of any circle. The formula is as:
[tex] A=\frac{\theta}{360^{\circ}}\times \pi r^2 [/tex]
Where [tex] \theta [/tex] is the angle subtended by the required sector. In our case, the sector is the shaded region and we need to find the angle of that shaded region. We know that the total angle of a circle is 360 degrees and the unshaded region subtends an angle of 75 degrees. Thus, the value of [tex] \theta [/tex] is calculated to be:
[tex] \theta=360^{\circ}-75^{\circ}=285^{\circ} [/tex]
r is the radius of the circle which in our case is 9 cm.
Thus, the area of the shaded region is:
[tex] A=\frac{285}{360}\times \pi\times 9^2=\frac{19}{24}\pi\times 81 =\frac{19\times 81}{24}\pi [/tex]
[tex] \therefore A=\frac{19\times 27}{8}\pi=\frac{x}{y} =\frac{513}{8}\pi [/tex] cm^2
Thus, Option D is the correct option.
Plot (−134,412) on the coordinate plane.
We are given coordinate (-1 3/4, 4 1/2).
(-1 3/4, 4 1/2) represents x-coordinate -1 3/4.
And y-coordinate 4 1/2.
First we need to go -1 and three fourth between -1 and -2.
And then for 4 1/2, we need to got 4 above on y-axis and then a half between 4 and 5.
We would draw the coordinate of intersection of vertical line of point -1 3/4 and horizontal line at 4 1/2.
The shown green point on the graph is the coordinate (-1 3/4, 4 1/2).Answer:
I hope this helps! <3
Step-by-step explanation:
Find the measure of the supplement of the angle.
how many numbers are between 1 and 3 ?
1. If 9 students sharpen 18 pencils in 2 minutes, how many students will it take to sharpen 18 pencils in 1 minute?
A.) 2
B.) 9
C.) 18
D.) 36
2. If y varies inversely with x, and y = –16 when x = –64, what is the constant of variation?
A.) 16
B.) 64
C.) 100
D.) 1,024
3. The pair of points (3, 8) and (x, 6) are on the graph of an inverse variation. What is the missing value?
A.) 4
B.) 3
C.) -1
D.) 1,
Does anybody know the answer to X
What is the value of n?
Enter your answer in the box.
n = cm
Answer:
n = 14 cm
Step-by-step explanation:
We are required to find the find the value of n.
Since, we have the lines are intersecting in the circle.
So, using the 'Intersecting Chord Theorem', which states that the product of the line segment formed by the intersecting lines are equal.
[tex]4\times n= 8\times 7[/tex]
i.e. [tex]4n=56[/tex]
i.e. n = [tex]\frac{56}{4}[/tex]
i.e. n = 14
Hence, the value of n is 14 cm.
Can someone check my answer please?
Quadrilateral ABCD is inscribed in circle O.
What is m∠B?
m∠A + m∠B = 180°
2x - 7 + 2x + 3 = 180
4x - 4 = 180
4x = 184
x = 46
m∠B = 2x + 3
m∠B = 2(46) + 3
m∠B = 92 + 3
m∠B = 95°
WRITE IN SIMPLEST FORM : COS INVERSE( 3/5 COS X + 4/5 SIN X ),
Suppose you roll a special 49-sided die. what is the probability that the number rolled is a "1" or a "2"?
Final answer:
The probability of rolling a "1" or a "2" on a 49-sided die is found by adding the separate probabilities of each event, resulting in 2/49 or approximately 0.04082.
Explanation:
In probability, when you want to find the chance of one event or another occurring, you add the probabilities of each event if they cannot happen at the same time. Given a special 49-sided die, each outcome is equally likely, and every roll is an independent event. Therefore, the probability of rolling a "1" is 1 out of 49, and the probability of rolling a "2" is also 1 out of 49. To find the combined probability of rolling either a "1" or a "2", you simply add these two probabilities together.
The probability of rolling a "1" is 1/49, and the probability of rolling a "2" is 1/49. So, the combined probability (P) is:
P("1" or "2") = P("1") + P("2") = 1/49 + 1/49 = 2/49 or approximately 0.04082.
the printed matter on a 14 by 18 centimeter page of a book must covor 140 square centimeters. if all margins are to be the same width, how wide should they be?
The measure of an angle is 68°. what is the measure of a complementary angle?
26 POINTS WILL GIVE BRAINLIEST
2. Do the sides 16, 30, and 38 form a Pythagorean Triple? Explain why or why not.
3. A triangle has sides of length 10, 14, and 22. Is the triangle acute, right, or obtuse. Explain.
12. A person can see the top of a building at an angle of 42˚. The person is standing 30 ft away from the building and has an eye level of 6 ft. How tall is the building to the nearest tenth of a foot?
Medals please help
Which of the following is the statement of the triangle inequality theorem?
A. The sum of the measures of any two angles of a triangle is greater than the measure of the third angle.
B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
C. The longest side of a triangle is opposite the largest angle.
D. The largest angle of a triangle is between the two longest sides.,
Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. a pollster contacts 90 people in the 18-21 age bracket and finds that 76 of them respond and 14 refuse to respond. when 297 people in the 22-29 age bracket are contacted, 262 respond and 35 refuse to respond. assume that 1 of the 387 people is randomly selected. find the probability of getting someone in the 18-21 age bracket or someone who agreed to respond. report the answer as a percent rounded to one decimal place accuracy. you need not enter the "%" symbol. prob = 23.3 incorrect%