Answer:
[tex]g_n = 49+ 2n[/tex]
Step-by-step explanation:
Given
[tex]g_1=51[/tex]
[tex]g_n=g_{n-1}+2[/tex]
Required
Determine the explicit formula (missing from the question)
First, calculate g2
[tex]g_n=g_{n-1}+2[/tex]
[tex]g_2 = g_{2-1} +2[/tex]
[tex]g_2 = g_1 +2[/tex]
[tex]g_2 = 51 +2[/tex]
[tex]g_2 = 53[/tex]
So, we have:
[tex]g_1=51[/tex]
[tex]g_2 = 53[/tex]
Calculate the common difference:
[tex]d = g_2 - g_1[/tex]
[tex]d = 53 - 51[/tex]
[tex]d = 2[/tex]
The explicit formula is calculated using:
[tex]g_n = g_1 + (n-1)d[/tex]
This gives:
[tex]g_n = 51 + (n-1)*2[/tex]
[tex]g_n = 51 + 2n-2[/tex]
Collect Like Terms
[tex]g_n = 51 -2+ 2n[/tex]
[tex]g_n = 49+ 2n[/tex]
Help me and if you don’t help me and I get low grades my mother will beat me and that’s how I will get bruises so please help me
Answer:
13/72
Step-by-step explanation:
Step-by-step explanation:
13/72
alll the answers now PLEASE. i will make you the brainliest!
Answer/Step-by-step explanation:
Decompose each shape, find the volume of each cuboid, and add both volumes you get together.
Recall: volume of cuboid = L*W*H
4. Volume of cuboid 1: L*W*H = 12*10*4 = 480 ft³
Volume of cuboid 2: L*W*H = 12*3*5 = 180 ft³
Volume of the shape = 480 + 180 = 660 in.³
5. Volume of cuboid 1: L*W*H = 11*2*5 = 110 yd³
Volume of cuboid 2: L*W*H = 10*4*2 = 80 yd³
Volume of the shape = 110 + 80 = 190 yd³
6. Volume of cuboid 1: L*W*H = 8*3*2 = 48 in.³
Volume of cuboid 2: L*W*H = 14*2*3 = 84 in.³
Volume of the shape = 48 + 84 = 132 in.³
7. Volume of cuboid 1: L*W*H = 5*3*2 = 30 yd³
Volume of cuboid 2: L*W*H = 6*2*5 = 60 yd³
Volume of the shape = 30 + 60 = 90 yd³
8. Volume of cuboid 1: L*W*H = 12*2*18 = 432 in.³
Volume of cuboid 2: L*W*H = 18*5*6 = 540 in.³
Volume of the shape = 432 + 540 = 972 in.³
9. Volume of cuboid 1: L*W*H = 13*11*4 = 572 ft³
Volume of cuboid 2: L*W*H = 13*6*7 = 546 ft³
Volume of the shape = 572 + 546 = 1,118 ft³
10. Find the value of d in the similar polygons
below.
what is what is 3 40% of 35
Answer: 40% of 50 is 14
Step-by-step explanation:
Which of the following are equivalent to 160%?
0.16
1.6
1
asap plz
Answer:
1.6
Step-by-step explanation:
1.6!
Step-by-step explanation:
1. Fill in the blanks:
a. A leap year has
b. 2 hours
days in all
minutes
c. 1 minute
seconds.
2. Write True or False for the following statements.
a. Three hours after 5:30 p.m. is 8:30 p.m.
b. 80 minutes make two hours.
MAA
c. There are 24 hours in a day.
d. There are 14 days in two weeks.
Answer:
2.
a. true.
b. false.
c. true.
d. true.
Find the percent of markup for a shirt that a store buys for $3.25 and sells for $7.50.
6(10x+8)=2-(x+3)
solve for x
Answer:
x = -49/61
Step-by-step explanation:
I hope I helped!!
let me know if you want me to show the steps:)
Answer:
x = -49/61.
Step-by-step explanation:
6(10x+8)=2-(x+3)
60x + 48 = 2 - x - 3
60x + x = 2 - 3 - 48
61x = -49
x = -49/61
Can anyone help me?pls
Answer:
b = 8.89, c = 11.96 and m∠B = 48°
Step-by-step explanation:
From the given triangle ABC,
We will apply sine ratio for angle A,
sin(A) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(42)° = [tex]\frac{BC}{AB}[/tex]
sin(42)° = [tex]\frac{8}{AB}[/tex]
AB = [tex]\frac{8}{\text{sin}(42)}[/tex]
AB = 11.96
c = 11.96
By triangle sum theorem,
m∠A + m∠B + m∠C = 180°
42° + m∠B + 90° = 180°
m∠B = 180 - 132
m∠B = 48°
By cosine ratio of angle A,
cos(A) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(42)° = [tex]\frac{AC}{AB}[/tex]
AC = AB.cos(42)°
AC = (11.96)cos(42)°
AC = 8.89
b = 8.89
13 students out of 25 have an ipad at home what person of food do not have an ipad at home
Answer:
52%
Step-by-step explanation:
Covert fraction (ratio) 13/25 Answer:52%
Please help me and thank you formula A= 1/2 (b) (h)
I need help on this math problem
Answer:
domain is 6,5,4,3
range is 8,9,10,11
A forest covers 44,000 acres. A survey finds that 0.8% of the forest is old-growth trees. How many acres of old-growth trees are there
Answer:
There are 86 acres of old-growth trees.
Step-by-step explanation:
choose the multiples of 5 a. 7,12,17,22 b.10,25,45,60 c.14,23,32,41 d.9,14,19,24
Answer:
The multiples of 5 are (b.10,25,45,60)
Sally bought a sweater for $24.99 with a 25% discount. What is the price of the
sweater after the discount?
There are two ways to do this, the one that makes more logical sense and the faster one
You can first calculate how much is 25%. You do this by $24.99 × 25 ÷ 100
Since you know how much is "discounted", just minus the answer you get above with the original price ($24.99 - $6.2475)
The quicker way is to recognise that "original price" is always 100%. In other words, you can just do 100% - 25% and get 75%. Then, $24.99×75÷100 is your answer.
Find the dimensions of the rectangle if the length is 4 feet longer than three times
the width.
Answer:
Width = x
Length = 3x+4
Step-by-step explanation:
Equations
Let's call x = width of the rectangle.
We know the length is 4 feet longer than 3 times the width, thus:
length = 3x + 4
Dimensions of the rectangle:
Width = x
Length = 3x+4
what is 0.4/100 a fraction in it's simplest form and a decimal?
Answer:
0.004
Step-by-step explanation:
Answer:
0.004
Step-by-step explanation:
hELp i need a example
1/2 x + x + 2x = 28
Answer:
x=8
Step-by-step explanation:
7/x/2=28
2/7• 7x/2= 2/7•28
x=8
Milo types 35 words per minute. How many words can he type in 7 minutes
a. 245 words
b. 240 words
c. 250 words
d.275 words
The answer is A. 245 words can he type in 7 minutes.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Milo types 35 words per minute.
words can he type in 7 minutes is 35*7
=245
because I have to multiple the amount of words he can type in one minute by 7.
hence, The answer is A. 245 words can he type in 7 minutes.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
WILL GIVE BRAINLIEST which expression is another way to write the one down here
Answer:
B
Step-by-step explanation:
it would be b cause like when there like a parentheses beside a number it means to times so yea. and please mark braonliest
Which mode shows two equal expressions when X = 3 ?
3. Which of the following illustrates how to find the difference of 5h3k and -4hk%? (5 – 4)kºk (544) 3-161-3 Not possible. O (5+4)733
Answer:
Not possiblie
Step-by-step explanation:
I took the test
Answer:
not possible
Step-by-step explanation:
i also took the test ^^
This is just a question I want u guys to answer cause 99% of the adult population don't know the answer to this question.
Question: 50 divided by 1/2 =?
I already know the answer and rule, lol
Work out
(1×10−4)+(2×10−2)
Give your answer in standard form.
any awnser would be apriciated
Answer:
24
Step-by-step explanation:
first the left part: 1x10=10, 10-4=6
Right part: 2x10=20, 20-2=18
And the final 18+6=24
Find all possible values of x for which these two triangles are similar.
Answer:
tip: study
Step-by-step explanation:
What is the value of the expression 1/2 • 2^3 + 7?
1/2 and one 2 can be multiplied to 1 so the equation turns to:
2^2+7=4+7=11
Hope this helped if you have any more questions please ask in the comment section.
What is something that is definitely true about the value of X?
Answer:its equal to for ?
Step-by-step explanation:..
Angel wants to finish his dining room with quarter round molding. The room is 12’7” by 9’9”. How much molding will he need?
The coordinates of the vertices are (0,0) (5,4) and (7,0). The trapezoid is dilated with scale factor 2 and center (0,0). What are the coordinates of the vertices of the image of the trapezoid?
A.(0,0) (2,4) (5,4) (7,0)
b. (0,0) (6,12) )(15,12) (21,0)
c.(0,0) (4,8) (10,8) (14,0)
Answer:
i think its c
sorry if im wrong!
Step-by-step explanation:
eva is working two summer jobs, making $16 per hour tutoring and $8 per hour clearing tables. Last week eva worked 3 times as many hours clearing tables as she worked hours tutoring hours and earned a total of $80. Graphically solve a system of equations in order to determine
Answer
y = 3(2) = 6
Thus, she tutored for 2 hours and cleaned tables for 6 hours.
Explanation
These questions are all about writing down mathematically what they are saying in words. Use variables whenever there is an unknown, and try to write equalities based on what is said.
So, taking it one step at a time:
Eva is working two summer jobs,
Cool.
making $16 per hour and $8 per hour clearing tables.
I'm guessing this is $16/hr for tutoring, and $8/hr for clearing tables?
Last week Eva worked 3 times as many hours clearing tables as she worked tutoring hours
Let C = the number of hours Eva worked at clearing tables
Let T = the number of hours Eva worked at tutoring
Last week Eva worked C = 3 * T
and earned a total of $80.
The amount she earned at each place is:
8*C = money from clearing tables
16*T = money from tutoring
8*C + 16*T = 80
Solve a system of equations in order to determine the number of hours Eva worked tutoring last week, X, and the number of hours Eva worked clearing tables last week, Y,
Welp, I guess they wanted X and Y but it doesn't matter. From the equations above we can say:
8*C + 16*T = 80
C = 3*T
That should be enough to solve for:
C = ?
T = ?
Let x = # of hrs spent tutoring, y = # of hrs spent cleaning tables
We know she worked 3 times as many hours cleaning tables as she did tutoring, which implies:
3x = y
Also, her total earnings add up to $80, which implies:
16x + 8y = 80
This gives us the following system of equations:
3x = y
16x + 8y = 80
Let's make the substitution y = 3x into the 2nd equation:
16x + 8(3x) = 80
16x + 24x = 80
40x = 80
x = 2.
Next, plug in x = 2 into the first equation:
y = 3(2) = 6
Thus, she tutored for 2 hours and cleaned tables for 6 hours.