The location of the point M is: 9 units to the right of the origin and 7 units up the origin
How to graph the point on a coordinate plane?From the question, the point is given as:
Point M = (9, 7)
Rewrite the point as:
M = (9, 7)
Indicate the x coordinate and the y coordinate
M (x, y) = (9, 7)
Rewrite the point as:
(x, y) = (9, 7)
By comparison, we have
x = 9
y = 7
Both values are positive.
This means that the point is located in the first coordinate
And the location of the point M is:
9 units to the right of the origin and 7 units up the origin
Next, we plot the graph of the point M
See attachment for the graph of the point M
Read more about coordinate plane at:
https://brainly.com/question/17206319
#SPJ1
What is 17/5 as a mixed number in simplest form ?
Answer:
3 \(\frac{2}{5}\)
Answer:
3 and 2/5 i believe
please say if im wrong or right
Step-by-step explanation:
You throw a baseball upward with an initial velocity of 35 feet per second. The height h (in feet) of the baseball relative to your glove is modeled by the position function
h(t) = −16t² + 35t,
where t is the time in seconds. How long does it take for the ball to reach your glove? (Round your answer to one decimal place.)
Answer:
35/16 sec ( 2 3/16 sec)
Step-by-step explanation:
This assumes you glove is at height = 0
0 = -16t^2 + 35t
0 = t ( -16t + 35) shows t = 0 ( before you throw it) and t = 35/16 sec
A class of students consists of 9 men and 51 women. Write a proper fraction to represent the part of the class that is women. Reduce the fraction. Change the fraction to a percent.
Answer:
85%
Step-by-step explanation:
9+51 = 60
(51/3) ÷ (60/3) = 17/20
(17/20)% = 85%
Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))
Answer:c
Step-by-step explanation is va cuz when your multiply:
Answer:
\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)
Step-by-step explanation:
The analysis is as attached below.
What is the slope of a line perpendicular to the line whose equation is: -2x+y=-7?
I need help figuring this out, thank you! :)
Answer: 8
Step-by-step explanation:
5*6/2=15120/15=8Someone help me please. I think it’s 35 but I’m not sure
Answer:
40
Step-by-step explanation:
The first triangle is 1/2 the size of the bigger triangle, you would just multiply 20 by the ration you have which is 2 and you get 40
K
The mathematics department of a college has 14 male professors, 13 female professors, 6 male teaching assistants,
and 8 female teaching assistants. If a person is selected at random from the group, find the probability that the
selected person is a professor or a male.
Considering the definition of probability, the probability that the selected person is a professor or a male is 81%.
Definition of ProbabitityProbability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.
Definition of union of eventsThe union of events, AUB read as "A or B", is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two or both occurs.
The probability of the union of two compatible events is calculated as:
P(A∪B)= P(A) + P(B) -P(A∩B)
where the intersection of events, A∩B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A∩B is verified when A and B occur simultaneously.
Probability that the selected person is a professor or a maleIn first place, let's define the following events:
P: The event that the selected person is a professor.M: The event that the selected person is a male.You know that the mathematics department of a college has:
14 male professors.13 female professors.6 male teaching assistants.8 female teaching assistants.So you know:
Number of professors= 14 +13= 27Number of males= 14 + 6= 20Number of professor and male= 14Number of people to choose from= 14+13+6+8= 41Then, you have:
P(P)= 27÷41= 0.66P(M)= 20÷41= 0.49P(P and M)= P(P∩M)= 14÷41=0.34Considering the definition of union of eventes, the probability that the selected person is a professor or a male is calculated as:
P(P∪M)= P(P) + P(M) -P(P∩M)
P(P∪M)= 0.66 + 0.49 -0.34
P(P∪M)= 0.81=81%
Finally, the probability in this case is 81%.
Learn more about probability:
brainly.com/question/25839839
#SPJ1
Kristin's car goes 18.95 miles for every gallon of gas. If she is planning a trip for 379 miles and gas costs $1.23 per gallon, what is the cost of gas for the trip?
Kim Lee is buying a sedan that has a base price of $24,827. Theoptions total $1,242, and the destination charge is $970. Thedealer’s cost is 90% of the base price and 85% of the price ofthe options.a.What is the sticker price of the vehicle?b.What is the estimated dealer’s cost?c.What will Kim pay if he can buy the vehicle for $200 overthe dealer’s cost?
SOLUTION:
Step 1:
In this question, we are given the following:
Kim Lee is buying a sedan that has a base price of $24,827.
The options total $1,242, and the destination charge is $970.
The dealer’s cost is 90% of the base price and 85% of the price of the options.
a. What is the sticker price of the vehicle?
Step 2:
We need to know the meaning of the sticker price of the vehicle:
By definition,
the Sticker price is the base price of an item
including the manufacturer's suggested retail price (MSRP), the manufacturer's installed options,
the manufacturer's destination charge,
and the fuel economy (mileage).
4(b - 4) ; b = 5
pls help
Answer:
The answers is 4
Step-by-step explanation:
Replace The variable b with 5 in the expression.
4( ( 5 ) - 4)
Subtract 4 from 5
4 - 1
And lastly multiply 4 by 1
I really hope this helps I am if I missed something please let me know but yeah I hope this helps you very much
A paper company produces 4,675 notebooks in 5 days. How many notebooks can it produce in 13 days?
OA. 12,155
OB. 2,431
OC. 4,473
OD. 12,100
Answer:
OA. 12,155
Step-by-step explanation:
A paper company produces 4,675 notebooks in 5 days. How many notebooks can it produce in 13 days?
--------
in 5 days= 4675
in 13 days= 4675/5*13= 12155
Answer
A OR D
Step-by-step explanation:
Find the length of the third side. If necessary, write in simplest radical form.
2√34, 6
The length of the third side is 2√34 + 6.
We can use the triangle inequality theorem to solve this problem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.
Let x be the length of the third side. Then we have:
2√34 + 6 > x
Subtracting 6 from both sides, we get:
2√34 > x - 6
Adding 6 to both sides, we get:
x < 2√34 + 6
Therefore, the length of the third side must be less than 2√34 + 6.
To find the exact length of the third side, we need to check if the triangle inequality is satisfied for an equality. In other words, we need to check if:
2√34 + 6 = x
If this is true, then the given sides can form a triangle.
Simplifying the equation, we get:
x = 2√34 + 6
The exact length is 2√34 + 6 if the triangle inequality is satisfied for an equality.
For such more questions on length
https://brainly.com/question/28322552
#SPJ8
PLEASE I NEED HELP QUICKLY!! Solve for x in the figure.
Answer:
23 degrees
To get this:
5x means 5 squared, also known as 5 times itself. 5x5 is 25.
25 - 2 is 23.
23 degrees should be it.
Answer:
The value of x is 16 degree
Step-by-step explanation:
5x-2=78(vertically opposite angle)
or,5x=78+2
or,x=80/5
x=16
what is 50000000 divided by 5000000
Answer:
10
Step-by-step explanation:
because if you divide it by it self that is what it is
Answer:
10
Step-by-step explanation:
50 million divided by 5 million would be 10. what you do is if the 5 is the same then it is one, after that since 50 million has 1 more zero then 5 million then you add a zero to the right of one. Therefore the answer is 10.
hope I helped.
f(x)+x^2-3x-2x is shifted 4 units left. The result is g(x). What is g(x)
Answer:
g(x) = x² + 5x + 2
Step-by-step explanation:
If a function is f(x) = x²
And this function is shifted 4 units left then the rule to be followed is,
g(x) = f(x + 4)
Following the same rule,
For a function f(x) = x² - 3x - 2 when shifted 4 units to the left,
g(x) = f(x + 4)
g(x) = (x + 4)² - 3(x + 4) - 2
= x² + 8x + 16 - 3x - 12 - 2
= x² + 5x + 2
Therefore, g(x) = x² + 5x + 2 will be the transformed function.
4) Amy traveled to the recycling plan
back. It took one hour less time to get
there than it did to get back. The average
speed on the trip there was 50 km/h. The
average speed on the way back was 40
km/h. How many hours did the trip there
take?
The time taken by Amy to travel to the place was t = 4 hours.
What is average speed?A measure of average speed is the amount of distance travelled in a given amount of time. It is determined by dividing the overall mileage by the overall time required to cover that mileage.
In physics and other sciences, average speed is frequently employed to describe how objects move. For instance, it is possible to estimate how long it will take to go a certain distance or assess a car's fuel economy by looking at its average speed over a given distance. By dividing the whole distance travelled by the total time required, average speed may also be used to characterise the speed of an object that is moving at various speeds at different points along its path.
Let the time taken to get back = t + 1.
Now, it took one hour less time to get there thus time = t.
Now, average speed is given as:
average speed = total distance / total time
Substituting the values:
50 km/h = d / t
d = 50t .........(1)
40 km/h = d / (t + 1)
d = 40(t + 1)......(2)
Setting the value of d as equal we have:
50t = 40(t + 1)
50t = 40t + 40
10t = 40
t = 4
Hence, the time taken by Amy to travel to the place was t = 4 hours.
Learn more about average speed here:
https://brainly.com/question/9834403
#SPJ1
B. PHOTOGRAPHY What is the area of the
matte pictured below?
4 in.
6 in.
1.5 in.
11.5 in.
Answer:
63in^2
Step-by-step explanation:
6 + 1.5 + 1.5 = 9
4 + 1.5 + 1.5 = 7
9 times 7 = 63 in^2
One angle in a complementary pair of angles measures 3 times the other angle.
What is the measure, in degrees, of the
smaller angle?
Answer:
22.5 degrees
Step-by-step explanation:
Complementary angles add up to be 90 degrees. You can model the simple equation \(x+3x=90\) where is x is the small angle and 3x is the large angle.
\(4x=90\\x=22.5\)
the smaller angle is 22.5 degrees
|3x| ≤ 12 please help
Answer: 7
Step-by-step explanation: ‘Sup guys, My name is Quandale Dingle. I am breaking out of prison on may 14, 2023. I am currently imprisoned in southern Saudi Arabia for various felonies.
Use properties to evaluate (-15).
5
O A. $
OB.
O C.
52
O D.
C. - 9/2
כ
Dolcn
Answer:
- 9/2
Step-by-step explanation:
got this question right
Convert the fraction 23/
12
into decimal
Answer:
1.916 just devide: 23÷12=1.916
Answer:
\(1.917\)
Step-by-step explanation:
\( \frac{23}{12} \frac{ \times8.33333333 }{ \times 8.33333333} \\ = \frac{191.666667}{100} \\ = 1.917\)
Hannah's restaurant bill had $20. She left a $3 tip. What percent of the bill did Hannah leave as a tip?
A.) 3%
B.) 12%
C.) 15%
D.) Not Here
Consider the function z(x,y) describing the paraboloid \[z = (2x - y)^2 - 2y^2 - 3y.\]Archimedes and Brahmagupta are playing a game. Archimedes first chooses $x.$ Afterwards, Brahmagupta chooses $y.$ Archimedes wishes to minimize $z$ while Brahmagupta wishes to maximize $z.$ Assuming that Brahmagupta will play optimally, what value of $x$ should Archimedes choose?
Answer: -3/8
Step-by-step explanation:
Expanding z we get
z = 4x^2 - 4xy + y^2 - 2y^2 - 3y
= -y^2 - (4x + 3) y + 4x^2.
After Archimedes chooses x, Brahmagupta will choose
y=-(4x+3/2) in order to maximize z
Then
z=-((-4x+3)/2)^2 -(4x+3)(-4x+3)/2)^2)+4x^2
z=8x^2+6x+9/4
To minimize this expression, Archimedes should choose x=-3/8
A marketing firm conducts a survey to determine the ages of their survey subjects who like a new health drink.
This is the resulting data from their survey:
49, 63, 78, 22, 41, 39, 75, 61, 63, 65,
58. 37. 45, 52, 81, 75, 78, 72, 68, 59,
72, 85, 63, 61, 75, 39, 41, 48, 59,55
61, 25, 61, 52, 58, 71, 75, 82, 49, 51
The mean age of the subjects who like the new health drink is (type your answer...)
and the median age of the subjects is (type your answer..)
Answer:
Mean = 59.1, Median = 61
(there might have been a mistake in calculation (a lot of numbers!))
Step-by-step explanation:
The sample size is 40,
Now, the formula for the mean is,
Mean = (sum of the sample values)/(sample size)
so we get,
\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)
To find the median, we have to sort the list in ascending (or descending)order,
we get the list,
22,25,37,39,39,41,41,45,48,49,
49,51,52, 52,55,58, 58, 59, 59, 61,
61, 61, 61, 63, 63, 63, 65, 68, 71, 72,
72, 75, 75, 75, 75, 78, 78, 81, 82, 85
Now, we have to find the median,
since there are 40 values, we divide by 2 to get, 40/2 = 20
now, to find the median, we takethe average of the values above and below this value,
\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)
And the (n+1)th value is the 21st value
Now,
The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,
Median = (61+61)/2
Median = 61
If m∠EBA = x + 7 and m∠EBF = 3x - 1, find x.
Answer:
x = 21
Step-by-step explanation:
ABF is a right angle and m∠EBA + m∠EBF = m∠ABF
3x - 1 + x + 7 = 90 add like terms
4x + 6 = 90 subtract 6 from both sides
4x = 84 divide both sides by 4
x = 21
Justin recently drove to visit his parents who live 96 miles away. On his way there his average speed was 20 miles per hour faster than on his way home (he ran into some bad weather). If Justin spent a total of 4 hours driving, find the two rates (in mph). Round your answer to two decimal places, if needed.
Justin's average speed to his parents' house: __________ mph
Justin's average speed from his parents' house: __________ mph
Answer:
Justin's average speed to his parents' house: x= 40mph
Justin's average speed from his parents' house: x+20=60 mph
Step-by-step explanation:
Let the average speed be x +20
Then average speed from his parents' x
And the distance is S=96
Then we know :
\(\displaystyle \frac{S}{x+20} +\frac{S}{x} =4 \\\\\\ \frac{96}{x+20} +\frac{96}{x}=4 \ |\div 4 \\\\\\ 24\bigg(\frac{1}{x+20} +\frac{1}{x} \bigg) =1 \\\\\\ 24\cdot \frac{x+x+20}{(x+20)x} =1 \ |\cdot (x+20)x \ \ \\\\\\48x+480=x^2+20x \\\\ x^2-28x-480=0 \\\\ \rm D=28^2+4\cdot 480=2704 =52^2 \\\\ \boxed{x_1=\frac{28+52}{2} =40} \\\\x_2=\frac{28-52}{2} =-12 \ \ \varnothing\)
Justin's average speed to his parents' house: x= 40mph
Justin's average speed from his parents' house: x+20=60 mph
Charlie has to finish assembling 240 different parts of a car in 3 hours. What is the average number of parts he should assemble per hour?
Answer:
80 parts
Step-by-step explanation:
To find the answer you must divide the number of car parts by the number of hours he has to finish assembling them.
240/3=80
3X is less than or equal to -5/4
Answer: x is less than or equal to -5/12
Step-by-step explanation:
it is -5/12 because to isolate x you need to divide both sides by 3
A publisher reports that 30% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 110 found that 20% of the readers owned a laptop. Determine the P-value of the test statistic. Round your answer to four decimal places.
Answer:
Test statistic = - 2.29
Pvalue = 0.0110
Step-by-step explanation:
The hypothesis :
H0 : p = 0.3
H1 : p < 0.3
Test statistic :
z=pˆ−p/√p(1−p)/n
pˆ = 0.2
Z = (0.20 - 0.30) / √(0.30(1 - 0.30) / 110
Z = - 0.1 / √0.0019090
Z = - 0.1 / 0.0436931
Z = - 2.29
Test statistic = -2.29
The Pvalue :
P(Z < -2.29) = 0.0110