Answer:
∠ 2 = 70°
Step-by-step explanation:
∠ 2 and 70° are vertical angles and are congruent, then
∠ 2 = 70°
Tracy rode her mountain bike 2 ⅘ miles on Monday. She rode
2 7/10 miles on Tuesday. On which day did she ride a longer distance?
Answer:
Monday
Step-by-step explanation:
please mark me brainliest
A rocket is launched from a tower. The height of the rocket, y in feet, is
related to the time after launch, x in seconds, by the given equation. Using
this equation, find the maximum height reached by the rocket, to the nearest
tenth of a foot.
y = -16x2 + 212x + 139
Answer:
y = 841.25 feet
Step-by-step explanation:
Given that,
The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation as follows:
[tex]y = -16x^2 + 212x + 139[/tex] ....(1)
We need to find the maximum height reached by the rocket.
For maximum height, put dy/dx = 0
So,
[tex]\dfrac{d(-16x^2 + 212x + 139)}{dx}=0\\\\-32x+212=0\\\\x=\dfrac{212}{32}\\\\x=6.625\ s[/tex]
Pu x = 6.625 in equation (1).
[tex]y = -16(6.625)^2 + 212(6.625) + 139\\\\y=841.25\ feet[/tex]
So, the maximum height reached by the rocket is equal to 841.25 feet.
(-8xy + 3x²-5y)+(4x²-2y+6xy)
Answer:
-2xy+7x^2-7y
i recommend m a t h w a y :)
Step-by-step explanation:
Answer:
7x^2−2xy−7y
Step-by-step explanation:
First Simplify
(−8x)(y)+3x2−5y+4x2−2y+6xy
=−8xy+3x2+−5y+4x2+−2y+6xy
Then Combine Like Terms:
=−8xy+3x2+−5y+4x2+−2y+6xy
=(3x2+4x2)+(−8xy+6xy)+(−5y+−2y)
=7x2+−2xy+−7y
Solve for the variable in the following equation: 1 / 6c + 1 / 3 = - 2
A. c = −30
B. c = 26
C. c = −14
D. c = 12
Answer: C. C=-14
Step-by-step explanation:
Given
(1/6)c+1/3=-2
Multiply both sides by the LCM of 1/6 and 1/3(Least Common Multiple)
6[(1/6)c+1/3]=(-2)(6)
c+2=-12
Subtract 2 on both sides
c+2-2=-12-2
c=-14
Hope this helps!! :)
Please let me know if you have any questions
Answer:
C. c = −14
Step-by-step explanation:
Combine multiplied terms into a single fraction
[tex]\frac{1}{6} c+\frac{1}{3} = - 2[/tex]
[tex]\frac{1c}{6} +\frac{1}{3} =-2[/tex]
Multiply by 1
[tex]\frac{1c}{6} +\frac{1}{3} =-2[/tex]
[tex]\frac{c}{6} +\frac{1}{3} =-2[/tex]
Subtract [tex]\frac{1}{3}[/tex] from both sides of the equation
[tex]\frac{c}{6} +\frac{1}{3} =-2[/tex]
[tex]\frac{c}{6} +\frac{1}{3} -\frac{1}{3} =-2-\frac{1}{3}[/tex]
Subtract the numbers
[tex]\frac{c}{6} +\frac{1}{3} -\frac{1}{3} =-2-\frac{1}{3}[/tex]
[tex]\frac{c}{6} =-2-\frac{1}{3}[/tex]
Subtract the numbers
[tex]\frac{c}{6} =-2-\frac{1}{3}[/tex]
[tex]\frac{c}{6} =-\frac{7}{3}[/tex]
Multiply all terms by the same value to eliminate fraction denominators
[tex]\frac{c}{6} =-\frac{7}{3}[/tex]
[tex]c \frac{c}{6} =6(-\frac{7}{3} )[/tex]
Cancel multiplied terms that are in the denominator
[tex]c \frac{c}{6} =6(-\frac{7}{3} )[/tex]
c = 6 [tex](-\frac{7}{3} )[/tex]
Multiply the numbers
c = 6 [tex](-\frac{7}{3} )[/tex]
c = - 14
NO LINKS FOR THE LAST TIME JUST HELP ANSWER THE QUESTION WITH A B C OR D WILL GIVE BRAINLIEST!!
Answer: letter b
Step-by-step explanation:
9x -5y = 16
-3x + 7y = 16
-4x - 2y = 14
10x - 7y = 25
HELP ME AS QUICK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The difference in square feet is 75 square feet.
Step-by-step explanation:
Formula for area of a rectangle: Area = length x width
Current measurements: 12 by 10, so
A = 12 x 10 = 120 square feet
New measurements: 15 by 13 (adding 3 feet to each)
A = 15 x 13 = 195 square feet
Subtract to find the difference:
195-120 = 75
Please let me know if you have questions.
BIG POINTS!!!!!! PLEASE HELP ASAP I'M BEING TIMED!!!!!!!!!!!!!!!!!!!!!! Will mark BRAINLIEST!!!!!!!!!!!!
The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
A) Use the distance formula to find the length of each side, and then add the lengths.
B) Use the slope formula to find the slope of each side, and then determine if the opposite sides are parallel.
C) Use the slope formula to find the slope of each side, and then determine if the consecutive sides are perpendicular.
D) Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
Answer: A
Step-by-step explanation:
We have to find the perimeter of the figure.
For doing so, we have to find the length of all the sides of a quadrilateral
The length of a line segment joining points (x1,y1) and (x2,y2) is given by the distance formula:
after finding length of all the sides, we add the length of each side to get the perimeter.
Use the distance formula to find the length of each side, and then add the lengths.
PLEASE HELP MY MATH GRADE IS LOW AND THIS IS THE ONLY WAY TO GET IT UPPPPP PLEASE I WILL MARK U BRAINLEST PLEASE TRY YOUR BEST THANKSSS SO MUCH
Answer:
I can't see!
Step-by-step explanation:
pls help will give a lot of points!!!!
Answer:
This one i wrote down too
Step-by-step explanation:
What is the length of bc in the right triangle below 9 12
Answer:
15
Step-by-step explanation:
hope it helps you.that was what I could think about.if am wrong please tell me.good day.
Help! Best answer gets brainliest
Answer:
7.9
Step-by-step explanation:
the first thing to do is find the second projection.
16-7 = 9
than we can use a proportion to find BD
7 : BD = BD : 9
BD = √9 x 7 = √63 = 7.9
we have to use the square root because in the proportion BD Is repeated two times. If we don’t use it, we find BD^2
Roscoe is locked outside his house.The only unlocked window is on the 2nd floor which is 24 feet from the ground. He will have to borrow a ladder from the neighbors house and place it 7 feet from the house. What length of ladder does he need to reach the 2nd floor safely
Answer:
25 feets
Step-by-step explanation:
The scenario above can be modeled and solved Using Pythagoras :
Height to second floor = 24 feets
Horizontal Distance between foot of ladder and wall = 7 feets
Let length of ladder = x
The lengtb of ladder here is the hypotenus
Recall:
Hypotenus = sqrt(opposite² + adjacent²)
Hence,
x = sqrt(24² + 7²)
x = sqrt(576 + 49)
x = sqrt(625)
x = 25
Hence, length of ladder = 25 feets
Let f(x)=x^2+2 and g(x)=1-3x Find each function value. f(g(-1))
Answer:
78
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
(x^2+2)*(1-3x)=-3x^3+x^2-6x+2
now plug in -1
-3(-1)^3+(-1)^2-6(-1)+2=12
hope this helped
1.7. In a Maths class, the girl to boy ratio is 7:5.
If there are 20 boys, how many girls are in the class?
Answer:
28 girls
Step-by-step explanation:
Let total students be ‘X’
No of girls = (X-20)
Girls/Boys=7/5=(X-20)/20
7(20) =5(X-20)
140=5X-100
5X=240
X = 240/5
X =48
So, Total Students are 48
No of girls = (X-20) = 48-20 = 28
someone please tell me how to work out this type of problem i completely forgot
Answer:
Plug the x-values into the equation to get the y values. This will give you coordinates that you can graph a line with.
Step-by-step explanation:
For x = -5: y = -3 - 2 * (-5) = 7, so the coordinates are (-5, 7)
For x = -2: y = -3 - 2 * (-2) = 1, so the coordinates are (-2, 1)
(Etc.)
Then, plot these coordinates and draw a line through them to complete the graph.
Solve for x "Enter the value for x that makes this
true.
– 2 = – 1/2 ( - 12x – 10)
The faces of a fair 6-sided cube are numbered 1 through 6.
What is the probability that a 2, 3, or 5 will land face-up on
the next roll?
Answer:
1/2
Step-by-step explanation:
2,3,5 are three out of a total of six options
3/6 = 1/2
You get a brand new car for your 16th birthday, valued at $25,875. Each year you
own the car it decreases in value by 15%. How much will the car be worth when you
turn 21?
Answer: $25,875 - 15% = 21 993.75 0r $25,875 + 15% = 29 756.25
Step-by-step explanation:
please help!!!!
polygon MNOPQ is dilated by a scale factor of 5.4 with point M as the center of dilation to form the image M’N’O’P’Q’. compare NO and N’O’. N’O’ ____ through point M. the slopes of N’O’ and NO are ____
the first blank answer choices are: passes, or does not pass
the second blank answer choices are: the same, or different
Right I needed help on this
what type of association is there ??
Answer:
Negative because the dots travel down away from the positive area
Elijah is going to invest in an account paying an interest rate of 5.5% compounded continuously. How much would Elijah need to invest, to the nearest hundred dollars, for the value of the account to reach $1,400 in 16 years?
Answer:
600
Step-by-step explanation:
yw
Reason corp just issued a series of 24 year maturity bonds with a oar value of 1000 and a 5 % coupon, paid semianually the bonds can sell in the open market for 1175. Flotation costs on the new bonds
Answer:
the rate is 4.36%
Step-by-step explanation:
The computation of the pre tax cost of debt is shown below:
Given that
NPER = 24 × 2 = 48
FV = $1,000
PMT = $1,000 ×5% ÷ 2 = $25
FV = $1,175 - $80
= $1,095
The formula is shown below:
= RATE(NPER;PMT;-PV;FV;TYP
After applying the above formula, the rate is 4.36%
help please. i really need to pass
Answer:
Number of year, when final value is $61,412.50 = 3 year
Number of year, when final value is $20,000 = 10 year (Approx.)
Step-by-step explanation:
Given:
Depreciation model
y = 100,000[0.85]ˣ
Where x = Number of year
Find:
Number of year, when final value is $61,412.50
Number of year, when final value is $20,000
Computation:
Depreciation model
y = 100,000[0.85]ˣ
61,412.50 = 100,000[0.85]ˣ
0.614125 = [0.85]ˣ
x = 3
Number of year, when final value is $61,412.50 = 3 year
Depreciation model
y = 100,000[0.85]ˣ
20,000 = 100,000[0.85]ˣ
0.2 = [0.85]ˣ
x = 10 (Approx.)
Number of year, when final value is $20,000 = 10 year (Approx.)
At the school carnival, 50 sixth-grade, 30 seventh-grade, and 40 eighth-grade students bought tickets for the raffle. At the end of the night, Quincy draws out two names without replacement. What is the probability that she draws two-seventh-grade students? Please explain?
Answer:
1/60
Step-by-step explanation:
50+30+40=120 (take all the students and add them together.)
2/120 (you only want 2 seventh graders)
simplified is 1/60
The probability that Quincy draws two-seventh-grade students is 0.061, or 6.1%.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
There are a total of 50 + 30 + 40 = 120 students who bought tickets for the raffle.
Quincy draws two names without replacement, which means that the total number of possible outcomes is given by the combination formula.
Total number of outcomes = C(120, 2) = 7,140
Now, we need to find the number of outcomes in which Quincy draws two-seventh-grade students.
Let us calculate the number of ways in which Quincy can choose 2 students from the 30 seventh-grade students
Number of ways to choose 2 seventh-grade students = C(30, 2) = 435
Therefore, the probability of Quincy drawing two-seventh-grade students is:
Probability = Number of desired outcomes / Total number of outcomes
Probability = C(30, 2) / C(120, 2)
Probability = 435 / 7,140
Probability ≈ 0.061
Hence, the probability that Quincy draws two-seventh-grade students is 0.061, or 6.1%.
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WILL GIVE BRAINLIEST TO CORRECT ANSWER!!!
A teacher surveys a sample of students from Lake Middle School. He asks the students where they’d like to go for a field trip. He records these results:
80 choose the aquarium.
60 choose the science center.
30 choose the planetarium.
40 choose the farm.
The teacher wants to figure out the relative frequency of a student choosing the aquarium. He will then estimate how many students out of all 1000 at the school are likely to choose the aquarium.
Answer the questions to solve the problem.
3. Suppose the teacher surveys one student at random. Based on the survey results, what is the estimated probability that the student chooses the aquarium?
Answer:
8/21 I reduced it, this is the simplest fraction
Answer:
1. 210 students
2. 80/210 students
3. 8/21 or 38%
4. 8/21 = x/1000 | X = 381 students
Step-by-step explanation:
HELP!!!
And please don’t send a link it won’t let me download it
What is the standard deviation of the distribution?
0.89
The owner of a local movie theater keeps track of the
number of tickets sold in each purchase and makes a
probability distribution based on these records. Let X
represent the number of tickets bought in one
purchase. The distribution for X is given in the table.
0.95
O 1.41
1.99
Number of
Tickets
1
2
3
5
Probability
0.29
0.44
0.19
0.06
0.02
Answer:
The number of tickets purchased typically varies from the expected value by 0.95 tickets.
Step-by-step explanation:
The standard deviation of the distribution is 0.95.
What is Standard Deviation?The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.
We have
P (X = 1)= 0.29
P (X = 2) = 0.44
P( X= 3) = 0.19
P (X = 4) = 0.06
P (X = 5) = 0.02
The expected value is given by the sum of each value multiplied by it's respective probability, hence:
E(X) = 0.29(1) + 0.44(2) + 0.19(3) + 0.06(4) + 0.02 (5)
E(X) = 2.08
As, The standard deviation is the square root of the total of the difference squared between each value and the mean, multiplied by the likelihood of each value.
[tex]\sigma[/tex] = √0.29 (1- 2.08)² + 0.44(2- 2.08)² +.....+ 0.02 (5- 2.08)²
= 0.95
Thus, the standard deviation is 0.95.
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If 20 machines produce 1,240 printers in a day,
how many more machines are needed to produce
1,984 printers in a day?
Division is one of the four fundamental arithmetic operations. The number of machines that will be needed to produce 1,984 printers in a day is 32 machines.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that 20 machines produce 1,240 printers in a day. Therefore, the rate of production for a single machine can be written as,
Rate of production for a day = 1240/20 = 62 printer per machine
Now, the number of machines that will be needed to produce 1,984 printers in a day is,
Rate of production for a day = 1,984 / Number of machine
62 = 1984 / Number of machine
Number of machines = 32 machines
Hence, the number of machines that will be needed to produce 1,984 printers in a day is 32 machines.
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Evaluate the expression for x=-2 and y=9.
xy + y =
Answer:
-18 + 9 = -9
Step-by-step explanation:
-2 x 9 = -18
At middle school lunch in the cafeteria, 60% of the students pack a lunch and 40% buy a lunch. Of the students who pack a lunch, 70% have a cookie. What is the percent of the students who have a cookie at lunch?
Answer:
42%
Step-by-step explanation:
The computation of the percentage is shown below:
Here we assume that there are 100 students
So according to the question
60% of the students would pack the lunch i.e. 60 students
And, 40% of the students buy a lunch i.e. 40 students
Now the students who pack the lunch they have 70% of cookie
So, 70% of 60 students = 42 students
Now the percentage is
= 42 students ÷ 100 students
= 42%