Answer:
Step-by-step explanation:
This is the formula to find the sum of the first
n
terms of the sequence. To evaluate it, the values of the first and
n
the terms must be found .Sn=n2⋅(a1+an)
This is an arithmetic sequence since there is a common difference between each term. In this case, adding
6
to the previous term in the sequence gives the next term. In other words,
an=a1+d(n−1)x Arithmetic Sequence:
d=6 This is the formula of an arithmetic sequence X an=a1+d(n−1)Substitute in the values of a1=4 and d=6 x an=4+(6)(n−1)Simplify each term.
an=4+6n−6 Subtract 6 from 4 x an=6n−2 Substitute in the value of N to find the N the term x a5=6(5)−2 Multiply 6 by 5 x a5=30−2 Subtract 2 from 30 x a5=28 Replace the variables with the known values to find
S5 x S5=52⋅(4+28)Add 4 and 28 x S5=52⋅32
Cancel the common factor of
2.
S5=5⋅16 Multiply 5 by 16 x S5=80
Convert the fraction to a decimal.
S5=80
Tyra's family is spending the afternoon in Millersville. They plan to see a movie and
then explore the town. The movie will cost the family $36, and parking costs $4 per
hour.
How long will the family be able to spend in Millersville if they want to spend less
than $60 and they don't have any other expenses?
Answer:
Step-by-step explanation:
Let the family spent 'x' hours in the town.
Parking cost for 'x'hours = 4*x = 4x
Now the total amount = Cost of the movie ticket + parking cost
= 36 + 4x
Total cost should be less than $ 60
36 + 4x < 60
Subtract 36 from both sides
4x < 60 - 36
4x < 24
Divide both sides by 4
x < 24/4
x < 6
The family can spend less than 6 hours in the town.
PLEASE HELP ON THIS PLEASE I REALLY NEED HELP
Answer:
21.07 ft²
Step-by-step explanation:
Radius = 7
Length of the rectangle = 2 * 7 = 14 ft
Area of rectangle = 14 * 7 = 98 ft²
Area of semicircle = π(7)²/2 = 76.93 ft²
So the are of shaded region = 98 - 76.93 = 21.07 ft²
600/b=74/100 HELP ASAP PLEASE!
Answer:
Step-by-step explanation:
Cross multiply,
74* b = 600 * 100
74b = 60000
b = 60000/74 = 810.8
Ajar contains 35 dimes and nickels. The total value of the coins is $2.50. If
d = the number of dimes and n = the number of nickels, this is the system of
equations:
d+ n = 35
0.100+ 0.05n = 2.50
How many of each type of coin are there? Solve the system to answer the
question
Answer:
0.05x+0.10(35-x)=2.50
(0.05x+3.5-0.10x=2.50) get rid of devimal points by multiplying both sides by 100
5x+350-10x=2505x-10x +350-350=250-350(-5x= 100)divide both by -5-5x/-5= -100/-5x=20(the number of nickels)The number of dime is35-x. and x=2035-20=15the number of dimes is = 15the number of nickels is = 2020nickels =$1.0015dimes =$1.50check
the number of dimes + the number of nickels is $2.50d+n=$2.50. : d=$1.50 and n=$1.00$1.50 + 1.00 =$2.50Draw line segment PT so that it divides OPQ into two smaller parts
Help please...............
what is 1/13 as a decimal?
Answer:
0.076923 in decimal or 0.08
79 5/6% as a fraction
Can you rephrase the question so I can better understand cause
5/6 is already a fraction as in 5 over 6 so I'm not sure how to answer
the diameter of a music CD is 12 centimetres . Find the circumference of a CD the nearest tenth
please help me
Answer:
37.7cm
Step-by-step explanation:
If the diametre is 12, the radius is 6, which means the area is 113.0973, which also means the circumference is 37.6991, round and you get 37.7
Which system has the solution set shown?
x squared + y squared greater-than-or-equal-to 16 and y greater-than-or-equal-to negative one-fourth x squared + 2
x squared + y squared greater-than-or-equal-to 16 and y less-than-or-equal-to negative one-fourth x squared + 2
x squared + y squared less-than-or-equal-to 16 and y greater-than-or-equal-to negative one-fourth x squared + 2
x squared + y squared less-than-or-equal-to 16 and y less-than-or-equal-to negative one-fourth x squared + 2
Answer:
C would be your answer
Step-by-step explanation:
Put it into the graphing calculator
Inequalities help us to compare two unequal expressions. The correct option is C.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The solution set shown belongs to two equations,
[tex]x^{2}+y^{2}\le16[/tex][tex]-\dfrac{1}{4}x^{2}+2\le y[/tex]Hence, the correct option is C.
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Which inequality matches the graph shown below? y < -2x-1, y > -2x-1, y > 2x-1, y < 2x-1
Answer:
y > 2x - 1
Step-by-step explanation:
the first thing we see in the graph is the dotted line. so, the line itself will not be included. therefore, no "<=" or ">=", but there was none in the answer options anyway.
then we see the shaded area is "above" (in tendency) the line. so, we are talking about a "y > ..." inequality.
then we see the y-intercept (the y value when x=0). it is -1, but all the answer options have "-1" as y-intercept. OK.
and then we see the slope of the line. when checking after (0, -1) the next point on the line with whole numbers as coordinates, we find (1, 1). so, while x increased by 1, y increases by 2. so, the slow is "y change"/"x change" = 2/1 = 2
so, in total, we are looking for the line
y = 2x - 1
and to cover the whole area above the line (but without the line) we get then
y > 2x - 1
N:2 = 15/5 solve it for n
Step-by-step explanation:
N:2 = 15:5
N\2 = 15\ 5
Now cross multiply,
5N = 30
N = 6
Answer:
n = 6Step-by-step explanation:
N:2 = 15/5 solve it for n
n : 2 = 15 : 5
n = 2 * 15 : 5
n = 30 : 5
n = 6
---------------------
check
6 : 2 = 15 : 5
3 = 3
the answer is good
Felix has a bag of 6 yellow marbles and 6 green marbles. He picks a marble and then puts it back 26 times. The results are shown in the table. Outcome Tally Yellow 15 Green 11 What is the percent error of pulling a yellow marble in Felix’s experiment? A. 13.3% B. 15.4% C. 23.1% D. 42.3%
whats the answer to this? (with an explanation please)
Answer:
Step-by-step explanation:
no of yellow marbles = 6
no. of green marbles = 6
total no. of marbles = 12
he picks and put the marbles for 26 times
he pick yellow for 15 times
he pick green marble for 11 times
= (15/26 - 1/2) / 1/2 = 15.4%
‼️‼️help me quick pls On a piece of paper, use a protractor to construct a triangle with angle measures of 30° and 120° Which statements about this triangle are true? Select all correct answers O The third angle measures 75' The third angle measures 90 All sides have different lengths Two sides have the same length. The third angle measures 30”.
The third angle measures 30° and two sides have the same length.
What is a triangle?A triangle is a polygon with three sides and three angles. The angles in a triangle sum up to 180°.
Types of triangles are scalene, isosceles, equilateral and right angled triangle.
Let x represent the third angle of a triangle with angle measures of 30° and 120°. Hence:
x + 120 + 30 = 180° (sum of angles in a triangle)
x = 30°
Since two angles are the same, hence two sides have the same length.
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Answer:
x = 30°
Step-by-step explanation:
Let x represent the third angle of a triangle with angle measures of 30° and 120°. Hence:
x + 120 + 30 = 180° (sum of angles in a triangle)
Since two angles are the same, two sides have the same length.
Ian owns a small business selling used books. He knows that in the last week 19
customers paid cash, 30 customers used a debit card, and 77 customers used a credit
card.
If next week, he is expecting 1800 customers, about how many would you expect to
pay with a credit card? Round your answer to the nearest whole number.
Step-by-step explanation:
last week there were 19+30+77 = 126 customers.
19/126 = 1/14 paid cash.
30/126 = 5/21 paid by debit card.
77/126 = 11/18 paid by credit card.
next week he expects 1800 customers.
that is compared to 126 a factor of
1800/126 = 300/21 = 100/7
now we actually only need to apply the same factor to any part of the total sum to get their share in the new total sum.
it simply follows the rule
(a + b + c) × d = ad + bd + cd
so,
77 × 100/7 = 11 × 100 = 1100 customers are expected to pay per credit card.
Express the sum of 200.2 and 4.27 multiply by 10 exponent 3
Answer: 200.2 + 4.27 = x
x = 204.47
204.47 x [tex]10^{3}[/tex]= 204470
One year the population of the city was 117000 serval years later it was 136,90 find the percent increase
Answer:
17%
Step-by-step explanation:
The initial value was 117,000
the final value was 136,900 i assume and not 136,90 like you had typed.
2. You are called to a crime scene and need to get there as quickly as possible. The crime scene is 10.5 miles away.
You will be able to drive an average of 45 miles per hour. Approximately how long will it take you to get to the
scene?
A. 5 minutes
B. 10 minutes
C. 5 minutes
D. 14 minutes
The time taken to reach the scene is 14 minutes, the correct option is D.
What is Speed?Speed is the rate at which a certain distance is covered in a given period of time, it is represented in m/sec, km/hr, etc.
The distance is 10.5 miles
The speed of driving is 45 miles/ hour
Time period = ?
Let t denotes the time taken to reach
Speed = Distance / Time
45 = 10.5 / t
t = 10.5/45 = 0.233 hours
t = 0.233 *60 = 14 minutes
Therefore, the time taken to reach the scene is 14 minutes, the correct option is D.
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Write a word expression for the problem using math vocabulary.
6k + 23
Hello.
First, we have a number k multiplied by 6, so we write
6 times a number k
or
6 times k
Now, we also add 23.
We can write it as
the product of 6 and k plus 23
or
6 times k plus 23
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
Please help with factor trees, if u click here there will be the question
Answer:
Spot 1: 14
Spot 2: 7
Step-by-step explanation:
To fill in the first empty spot, we just have to look at the other side.
We can see that the factor on the right is 4
That means the factor on the left has to multiply by 4 to get 56
To find which number that is, we divide 56 by 4
56 ÷ 4 = 14
So, the first spot is 14
Then, to find the spot below it, we need a number that multiplies by 2 to get 14
Well, 14 ÷ 2 = 7
The second spot is 7
PLEASE HELP QUICK WHO EVER DOES IT FIRST GETS BRAINLEST
A hybrid car used
of a gallon of gas to travel of a mile. At this rate, how many miles can the car travel using
96
one gallon of gas?
O 48 miles
O 96 miles
O 144 miles
O 192 miles
Answer:
96 gallon of a gas if a gallon of gas is used to travel a mile you will multiply one times ninety six
PLEASE ANSWER THIS MATH: 10 CATS IS CRYING IN BED AND 1 CAT IS NOT CRYING IN BED and 1 cat is missing some cats are missing? level:easy 5point
what are the given?
what is answer?
what is crying?
please answer this
Answer:
8
Step-by-step explanation:
10 -1-1
that's all I can think
The distance Charles c runs one day is increased by two. If he runs that new distance three times, write an expression to represent the distance Charles ran.
Answer:
3c-6
Step-by-step explanation:
One day is c-2 so we need to multiply by 3. We get 3(c-2) or 3c-6.
Tip: use the variables/numbers in the problem to form an equation. Then, simplify.
4
• You Try!
Find the midpoint of the two following points (1,3) (3, 11)
x1+x2/2 + y1 +y2/2
= 1 +3/2 + 3+11/2
= (2;7)
A ______ expression like ( 3+5) × (4-1) is a combination of numbers and at least one operation. Fill in the blank
Ms. Gonzales gathered data on the number of vowels in the first and last names of each of her students. The data are shown in the dot plot.
Vowels in student names. Number of vowels.
What percentage of the students have 5 or more vowels in their first and last names?
From the dot plot, we have that 90.91% of the students have 5 or more vowels in their first and last names.
---------------------
The dot plot states that:
2 students have 4 vowels in their first and last name.
3 students have 5 vowels.
8 students have 6 vowels.
9 students have 7 vowels.
Then:
Total of 2 + 3 + 8 + 9 = 22 students.
3 + 8 + 9 = 20 have or more vowels.
90.91% of the students have 5 or more vowels in their first and last names.
Does anyone know this?
Aldo rented a truck for one day. There was a base fee of $18.95, and there was an additional charge of 87 cents for each mile driven. Aldo had to pay $183.38 when he returned the truck. For how many miles did he drive the truck?
Answer:
about 198 miles
Step-by-step explanation:
183.38
- 18.95
_______
164.45 divided by .87 is 198.0229885057
John runs a computer software store. Yesterday he counted 131 people who walked by the store, 58 of whom came into the store. Of the 58, only 23 bought something in the store. (Round your answers to two decimal places.)
Answer:
23/131 or 23/58
2. A father offers three portions of his crop land to his daughter for a corn maze. All
portions are circular and the daughter can only choose one portion. The first
portion has an 875 feet radius. The second portion has a 1715 feet diameter. The
third portion has a 5305 feet circumference. The daughter does not want more
than 2,250,000 square feet of corn maze. Which of the portions will be chosen by
the daughter?
If the daughter does not want more than 2,250,000 square feet of the corn maze, hence she will choose all the portions
Circumference and area of circlesThe formula for calculating the area of circle is expressed as;
A = πr²
r is the radius of the circle
If r = 875ft
A = 3.14(875)²
A = 2,404,062.5squar feet
For the diameter = 1715feet
r = 1715/2
A = 3.14(1715/2)²
A =2,308,861.625 square feet
For the third portion has a 5305 feet circumference;
5305 = 2(3.14)r
r = 844.74ft
A = 3.14(844.74)^2
A = 2,240,686.70
If the daughter does not want more than 2,250,000 square feet of the corn maze, hence she will choose all the portions
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the person above has the correct work.. but the answer is the portion with the 5305 feet circumference.