Answer:
[tex]a_{62}=-107[/tex]
Step-by-step explanation:
This is an arithmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]
where d is the common difference and n is the index of any given term.
The common difference of the given sequence is -2:
[tex]13-15=-2\\11-13=-2[/tex]
Using the first term and the common difference, you can write the equation for this sequence:
[tex]a_n=15+(n-1)(-2)[/tex]
And using that equation, you can find the 62nd term:
[tex]a_{62}=15+(62-1)(-2)\\a_{62}=15+(61)(-2)\\a_{62}=15-122\\a_{62}=-107[/tex]
A small jar of mustard holds 75% as much as a large jar of mustard. If the large jar holds 36 ounces, how much does the small jar hold?
Answer:
27 ounces
Step-by-step explanation:
36 / 4 = 9 x 3 = 27
Does 30, 40, 45 make a right triangle?
Answer:
no these degrees do not make a right triangle
simplify the expression.
Answer:
-6m^2 *n^2
Step-by-step explanation:
formula: (m^x)/(m^y)= m^(x-y)
apply formula for (4m^2)/(2m^-3)
=(4m^(2--3)/(2)
=4m^5/2
divide 4/2
=2m^5
next part 3n^5/(-mn)^3
3n^5/(-mn)^3
expand
=3n^5/ (-m^3*n^3)
=3n^(5-3)/ -m^3
=3n^2/ -m^3
both parts:
(2m^5* 3n^2)/ -m^3
= -(2m^5* 3n^2)/ m^3
= -(2m^(5-3)* 3n^2)/ 1
= -(2m^2* 3n^2)
= -(6m^2*n^2)
= -6m^2 *n^2
Suppose two bicyclists start at the same location.
The first bicyclist rides due north and the other rides
due west. Find the distance in miles that the first
bicyclist rode if they are 3/2 miles apart after riding
for 1 hour at the same speed.
Answer:
Step-by-step explanation:
See attachment.
If both cyclists travel for the same time and speed, they will have travelled the same distance. Since one is headed north and the other east, we can see that the distance between them in one hour is the hypotenuse of a right triangle. Each leg has distance x. We can say x^2 + x^2 = (3[tex]\sqrt{2}[/tex])^2
2x^2 =1 8
x^2 = 9
x = 3
They both rode 3 miles.
Can anyone help me with my homework
Answer:
x = the number
Step-by-step explanation:
15.) 2x + 9 = 25
16.) 3x - 6 = 21
17.) 7x = 12 + 3x
18.) 4x = 18 + x
19.) 2x + 24 = 8x
20.) 30 - x = 4x
Please help me with this math problem!! I will give brainliest!! NO LINKS PLEASE!! :)
Answer:
(-4, 0)
Step-by-step explanation:
The midpoint M of segment AB is found by averaging the coordinates of the end points:
M = (A +B)/2
Solving this for point B, we find ...
2M = A +B
2M -A = B
Then the other end point is ...
2(2, -4) -(8, -8) = (4 -8, -8 -(-8)) = (-4, 0)
The other end point is (-4, 0).
in the equation 3/4y+1/2=31/4 the fractional cofficient
Answer:
The coefficient is 32.
Step-by-step explanation:
I hope I have helped you if not tell me.
Solve the system of equations -x+ 2y = –11 and 5x – 8y = 39 by
combining the equations.
Answer:
x=-5, y=-8. (-5, -8).
Step-by-step explanation:
-x+2y=-11
5x-8y=39
---------------
5(-x+2y)=5(-11)
5x-8y=39
---------------------
-5x+10y=-55
5x-8y=39
--------------------
2y=-16
y=-16/2
y=-8
-x+2(-8)=-11
-x-16=-11
-x=-11+16
-x=5
x=-5
Multiply
-4/5 • 3
Write your answer in simplest form.
Answer:
[tex]-2\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]\frac{-4}{5} *\frac{3}{1}[/tex] multiply across
[tex]\frac{-12}{5}[/tex] turn into mixed number
[tex]-2\frac{2}{5}[/tex]
A 10-foot board is reduced in a 4-foot board. What is the percent decrease in length?
What's the percentage multipier for 0.6%?
Answer:
Solution Given;
0.6%=0.6/100=0.006
So
0.006 is the percentage multipier for 0.6%.
Let's check
We need to convert it into decimals
0.6%0.6×1/1000.6×0.0010.0060.006 is the answer
The perimeter of a rectangle is 80 inches. The length of the rectangle is 12 inches.
Which equation could represent the width of the rectangle, w?
Answer:
That will be 7
Step-by-step explanation:
The equation that represents the width of the rectangle will be 2(L + W) = 80. And its width is 28 inches.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length.
The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be
Perimeter of the rectangle = 2(L + W) units
The perimeter of a rectangle is 80 inches. The length of the rectangle is 12 inches. Then the equation is given as,
2(L + W) = 80
2(12 + W) = 80
12 + W = 40
W = 40 - 12
W = 28 inches
The equation that represents the width of the rectangle will be 2(L + W) = 80.
More about the perimeter of the rectangle link is given below.
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I need help please it’s for school
From Sweatcoin, London to the residence of Santa Claus is about 4,280 km away.
Where is the Santa Clause's residence?
The residence of Santa Clause is popularly known as the North Pole.
According to the above, we have to roughly calculate the distance from Sweatcoin in London to the North Pole. This distance is equivalent to about 4,280 km
Learn more about London in: https://brainly.com/question/7416097
-
5. Tanya wants to subtract 62 - 48. What are some
ways she can find the difference? Choose a way
and show the work needed to find the difference
HELP PLS IM BEING TIMED
A line passes through the points (-5, 2) and (10,-1). Which is the equation of the line?
O y=-3x+1
Oy-x
O y = -5x – 23
O y = 5x + 27
Answer:
The correct answer is none.
Step-by-step explanation:
The correct answer is y = -1/5x + 1
To find the equation of the line, start by finding the slope. You can do this by using the slope formula below.
m(slope) = (y2 - y1)/(x2 - x1)
m = (2 - -1)/(-5 - 10)
m = 3/-15
m = -1/5
Now that we have the slope, we can use it along with either point in the point-slope form to get the equation.
y - y1 = m(x - x1)
y - 2 = -1/5(x + 5)
y - 2 = -1/5x - 1
y = -1/5x + 1
Answer:
It Should be y= -1/5x + 1 but you have not listed it in your options...
Step-by-step explanation:
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Answer:
y = 3x
Step-by-step explanation:
When y = 12, x = 4
When y = 0, x = 0
The y intercept is zero.
The easiest point to see clearly is (4,12)
m = y / x because the y intercept is 0
m = 12/4 = 3
The equation of the line is
y = 3x which is the last one.
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
y=(5/6)x
Step-by-step explanation:
its how much it rises over how much it runs. so it goes up 5 and to the right 6
Answer:
Step-by-step explanation:
The y intercept is 0. The point that holds the y intercept is (0,0)
The slope is
m = y / x
y = 10
x = 12
m = 10/12
m = 5/6
The equation is y = 5/6 x which looks like D
find the number of tiles in the 57th figure. justify your answer using an algebraic expression
given the following measures of the side of triangles, which is a right triangle?
Answer:
Step-by-step explanation:
Essentially, we can use the pythagorean rule that:
a^2+b^2=c^2
c^2 resembles the hypotenuse, which is almost always the largest number. therefore, we simply have to find two which equal the largest side:
9^2+40^2=41^2
81+1600=1681
1681=1681
Based on this math, A is our right angle!
Hope this helps!
6. Find the value of y.
5
16
Help please.. DuE Today. No LiNkS!!
Thanks! 8th Grade Mathh
Answer: A
Step-by-step explanation:
Answer:
Step-by-step explanation:
As x goes up, so does y. That immediately makes B incorrect.
The others (C and D) are incorrect because they points are not plotted correctly.
That leaves you with A.
Estimate the product. Then find the actual product.
483 x 9.2
please label what the actual product is and the estimate
Answer:
it is in the steps 4443.6 actual product
estimate is 4444
Step-by-step explanation:
483*9.2=4443.6 actual product
Actual Product:
4443.6
Estimated Product:
4444
How is it 4444?
4443.6
the 6 is greater than 5 making the 3 go to 4.
can sommeone help solve equation
Step-by-step explanation:
3x + 10 < 3
3x + 7 < 0
3x < -7
x < -7/3 = -2.3333...
or
2x - 5 >= 5
2x >= 10
x >= 5
x < -7/3 or x >= 5
Jared and Casey splurged on a special dinner for their anniversary. Their dinner cost $262.57,
and the local sales tax is 4%. If they left a 20% tip on the $262.57, how much in total did
they pay?
They paid a total of $325.5868
4 divided by 3220 pls help me due in 2 hours
Answer:
1/805
Step-by-step explanation:
4/3220 = 1/805 = 0.00124223....
A sandbox is a right rectangular prism
that is 6 ft long and 4 ft wide. The
sandbox can hold 48 ft of sand when
full. Lisa fills the sandboxfull of sand.
What is the height of the sand in the
sandbox?
A parachutist has made thousands of successful jumps. His assumption is that when he pulls the rip cord, that parachute will open.
What are the null and alternative hypothesis?
Describe a Type I error along with the consequence.
Describe a Type II error along with the consequence.
What is a more serious error in this context? Justify your answer.
Most parachutes have a backup in case the ripcord malfunctions. Does the guard against Type I or Type II errors? Explain.
Suppose you went skydiving and pull the ripcord and it does not function. You have time to pull it again or pull the back up but not both. What would you do?
The null hypothesis is the one in which any statement which is the claim of the experiment is chosen to decide the results for .
The alternate hypothesis is the opposite of the null hypothesis.
Type I Error: Type I Error occurs when H0 is true but it is rejected and Ha is accepted.
Type II Error: Type II Error occurs when Ha is true but it is rejected and the false null hypothesis H0 is accepted which is wrong decision.
In this case the null hypothesis is
H0: On pulling the rip cord the parachute will open.
Ha: On pulling the rip cord the parachute will not open.
In this experiment the alternate hypothesis Ha :On pulling the rip cord the parachute will not open is accepted then type I error occurs.
In this experiment the null hypothesis H0 :On pulling the rip cord the parachute will not open is accepted then type II error occurs.
In this experiment Type I Error is a more serious error because the true null hypothesis H0: the parachute will open is rejected.
In this experiment Type II Error is a more serious error.
Type I and Type II Errors are independent of the confidence interval.
When the parachute has a backup in case of ripcord malfunctions then the confidence level of the hypothesis can be 100 percent. That is we are 100 percent sure that the parachute will land safely and there will be no accidents.
This is does not guard the type I and type II errors because these are made on the wrong decision.
The null and alternate hypotheses can be understood here
https://brainly.com/question/19132215
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Type I and II Errors can be understood
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-Write a real-world situation that could be represented by the equation 12.5x + 30 = -7.5x + 90.5.
What does the variable represent?
Answer:
Imagination
Step-by-step explanation:
12.5x + 30 = -7.5x + 90.5.12.5x + 30 = -7.5x + 90.5.
20x =60.5
x = 3 1/5
The sales from a music event comes from x tickets sold, at $12.50 a ticket, plus a rental income fee of $30 for an advertising billboard behind the stage.
The cost of the performance includes a musician's fee of $7.50 per ticket sold, plus a $90.5 rental fee for the stage.
The equation will tell us the number of tickets, x, that must be sold to break even (Inclome on the left and expenses on the right).
We need to sell at least 3 1/5 tickets to break even. It's going to be close.
The equation 12.5x + 30 = -7.5x + 90.5 used to determine the point in time (number of weeks) at which their combined savings and spending will equal the cost of the trip.
The equation 12.5x + 30 = -7.5x + 90.5 could represent their financial situation.
The variable "x" represents the number of weeks they have been saving money.
The term 12.5x represents the total amount of money Friend A has saved over "x" weeks at a rate of $12.5 per week.
The term -7.5x represents the total amount of money Friend B has spent over "x" weeks at a rate of $7.5 per week (which is subtracted since it's being spent).
The constants 30 and 90.5 represent initial savings and the total funds needed for the trip, respectively.
To know more about equation here
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In four games the basketball team scored 47, 52, 63, and 66 points. What is the mean of these scores? What is the range of these scores?
Answer:
mean=57
range=19
Step-by-step explanation: there you go
Plz I need help! On these 3 questions!
Answer: 1. Angle MHG 2. Angle LHM 3. Angle LHK and KHJ and the measures are 35 each
Step-by-step explanation:
1. The order you put the angle points in isn’t super important, as long as the middle point of the angle stays between the two letters, so angle ABC can be angle CBA as long as the b stays in the middle
2. You can find out the LHM is a right angle by looking at the protractor and counting
3. Congruent = Equal and both angles equal 35 degrees.
Answer:
1. Acute Angle
2. MHL
3. LHK and KHJ
Step-by-step explanation:
1. Since GHM has an angle less than 90˚ it is an acute angle
2. MHL is an Right Angle as 110-20 is 90˚ and an right angle is 90˚
3. LHK and KHJ both has an angle of 35˚
Hope this helps!