Answer:
a₇ = 797
Step-by-step explanation:
substitute n = 7 into the explicit formula
a₇ = 800 - 0.5(7 - 1) = 800 - 0.5(6) = 800 - 3 = 797
Rebecca ran the width of a field, a distance of 60 yards. Then she ran the length of the field,
a distance of 80 yards. Finally, she ran diagonally across it to get back to her starting point.
How far did Rebecca run?
Answer:
170 yards
Step-by-step explanation:
First off we know that Rebecca ran 60 yards at first. Then she ran another distance of 80 yards. She then ran diagonally across to get back. If she ran diagonally back that means would have run 30 yards back which is half of the first distance she ran.
(representation of how she ran)
1st: Up along the width |
2nd: sideways along the length ----
3rd: diagonally back to the starting point /
This would form a triangle. The first distance he ran would be halved to show the amount that Rebecca ran diagonally, we will represent this with x.
Equation representation:
60 + 80 = 140 yards
x = 60 divided by 2
x = 30 yards
60 + 80 + 30 = 170 yards
Have a great rest of your day
#TheWizzer
What method can be used?
Answer:
not possible
Step-by-step explanation:
the two congruent sides do not include the angle in between them, which makes the rule that makes them congruent SSA, which is a rule that doesn’t not exist. Ur welcome :)
find h(-8) given the function h(x)=| 2x+7 |
Answer:
9
Step-by-step explanation:
h(x)=| 2x+7|
h(-8)= |2(-8)+7|
= |-16+7|
=|-9|
=9
Help ASAP please !!!!
Answer:
Don't Understand.
Step-by-step explanation:
Need more Information.
i will give ur brain thing
its urgent
Answer:
5
Step-by-step explanation:
4^2 +3^2 = 5^2
Answer:
sqrt([4 * 4] + [3 * 3]) = 5
Step-by-step explanation:
Fill in the parameters for the Pythagorean Theorem and solve it.
25pts!!!
i don't understand this can somebody help me
Step-by-step explanation:
This is geogebra app which graph the equations...
I graphed the equation for you...
You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10 mg of caffeine?
Answer:
10 hours
Step-by-step explanation:
A 2-column table with 4 rows. The first column is labeled Planet with entries A, B, C, D. The second column is labeled Distance from Sun (in kilometers) with entries 778,600,000, 4,495,100,000, 1,433,500,000, 2,872,500,000. What is the identity of the planets? A: B: C: D:.
(a+b) + 3
+ 30c
a = 6
b = 4
C=3
Answer:
13
Step-by-step explanation:
6+4=10
10+3
13
Answer:
the answer is 103
Step-by-step explanation:
(6+4)+3+30(3)
(10)+3+90
103
A bank pays 8% annual interest, compounded at the end of each month. An account starts with $600, and no further withdrawals or deposits are made.
Answer:
[tex]600(1.08)^x[/tex]
Step-by-step explanation:
you would plug in the amount of months for x, not sure what you are really looking for? but 12 months would be [tex]600(1.08)^12=1510.90[/tex]
not sure why the 12 looks weird, but that is to the power of 12.
3. ARST maps to AR'S'T'.
Preimage
R(2, 1)
S(2.-1)
T(4.-2)
Image
R'(1,3)
S'(1, -3)
T'(
2-6)
The coordinate rule is:
The transformation is:
Need help
Answer:
Step-by-step explanation:
How do i slove this?
Answer:
A
Step-by-step explanation:
Forget the number line for a moment. It seems to be confusing you. Just get the answer.
-1/2 = - 2/4
5/4 = 5/4 There's nothing more you can do to this that's constructive.
Sum = (-2 + 5 ) / 4
Sum = 3/4
Now which like gives that result? It's A isn't it?
Mr. M traveled 5 miles fewer than twice the number of miles on Tuesday as Monday. On Wednesday he traveled 40 more than the square of the number of miles traveled Monday. If the total miles traveled was 1,024, write an equation to represent the total miles traveled on Monday, Tuesday and Wednesday.
Answer:
x² + 3x - 989 = 0 (where x is the number of miles traveled on Monday)
Step-by-step explanation:
Let x = number of miles traveled on Monday
Let y = number of miles traveled on Tuesday
Let z = number of miles traveled on Wednesday
Given:
Mr. M traveled 5 miles fewer than twice the number of miles on Tuesday as Monday⇒ y = 2x - 5
Given:
On Wednesday he traveled 40 more than the square of the number of miles traveled Monday⇒ z = x² + 40
Given:
Total miles traveled = 1024⇒ x + y + z = 1024
Substitute y = 2x - 5 and z = x² + 40 into x + y + z = 1024:
⇒ x + 2x - 5 + x² + 40 = 1024
⇒ x² + 3x + 35 = 1024
⇒ x² + 3x - 989 = 0 (where x is the number of miles traveled on Monday)
2sinx-1= 0
Pls help me solve
Answer:
x = 30°
Step-by-step explanation:
2sinx - 1 = 0
2sinx = 1
sinx = 1/2
x = 30°
Answer:
x = nπ + ( -1 )π π/6, where n is the integer
Step-by-step explanation:
2: Rewrite using the distributive property.
Answer:
[tex]12s-120[/tex]
Step-by-step explanation:
Given the following question:
[tex]12(s-10)[/tex]
To rewrite the expression using the distributive property we have to remember the rule that applies to all expressions, we have to multiply all the terms inside the paratheses by the terms outside of the paratheses.
[tex]12(s-10)[/tex]
[tex]12\timess=12s[/tex]
[tex]12s-10\times12[/tex]
[tex]10\times12=120[/tex]
[tex]12s-120[/tex]
Your answer is "12s - 120."
Hope this helps.
Write down in terms of n, an expression for the nth term
of the following sequences:
a) 2 5 8 11 14
b) 9 11 13 15 17
Answer:
a) [tex]a_n=3n-1[/tex]
b) [tex]a_n=2n+7[/tex]
Step-by-step explanation:
a) From inspection, we can see that this is an arithmetic sequence as the difference between each term is the same:
14 - 11 = 3
11 - 8 = 3
8 - 5 = 3
5 - 2 = 3
(so the common difference = 3)
General equation of arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
(where [tex]a[/tex] is the first term and [tex]d[/tex] is the common difference between terms)
Given:
[tex]a=2[/tex][tex]d=3[/tex][tex]\implies a_n=2+(n-1)3[/tex]
[tex]\implies a_n=2+3n-3[/tex]
[tex]\implies a_n=3n-1[/tex]
b) From inspection, we can see that this is an arithmetic sequence as the difference between each term is the same:
17 - 15 = 2
15 - 13 = 2
13 - 11 = 2
11 - 9 = 2
(so the common difference = 2)
General equation of arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
(where [tex]a[/tex] is the first term and [tex]d[/tex] is the common difference between terms)
Given:
[tex]a=9[/tex][tex]d=2[/tex][tex]\implies a_n=9+(n-1)2[/tex]
[tex]\implies a_n=9+2n-2[/tex]
[tex]\implies a_n=2n+7[/tex]
Calculate the slope of the line with points (3, 2) and (6, 4). Write your answer as a decimal rounded to 2 decimal places.
Answer:
0.67
Step-by-step explanation:
m is the slope
The formula is m=[tex]\frac{y_{2}-y_1}{x_2-x_1}[/tex]
m= [tex]\frac{4-2}{6-3}[/tex]
m= [tex]\frac{2}{3}[/tex]
2÷3=0.66666...≈0.67
Ellie deposited $650 into her savings account. She then saved $150 per month.the amount in Ellie’s savings account after t months
Answer:
$650+$150x
Step-by-step explanation:
Base number and 150 is added per month.
One brand of juice contains 0.05 of natural juice. Which is this decimal written as a percent?
A) 0.05%
B) 5%
C) 0.5%
D) 50%
Answer:
B.) 5%
Step-by-step explanation:
You'll need to multiply 0.05 by 100. Since 100 = 1, we are only multiplying by 1 and not changing the value of our number.
0.05 × 100 = 5
5/100 is 5 over 100 and means 5 per 100. 5 "per 100" means 5 "percent" or 5%
Therefore, 0.05 = 5%
I hope this helps! ^-^
Given ∆ADB and ∆ACB. These triangles can be proven congruent by ASA, if two additional statements are provided.
Answer: First option
Step-by-step explanation:
True or false: The unit price of the chocolates in a box is found by dividing the price of the box by the number of chocolates in the box.
Answer:
true
Step-by-step explanation:
example: $10 for 10 chocolate
10.00÷10=1.00
Can anybody help me with the question in the attachment please?
(will mark brainliest)
Answer:
8/12 and 4/12
Step-by-step explanation:
simplified to 2/6 and 1/6
Jack has a bag of jellybeans. There are 6 green, 4 blue, 5 red, and 1 yellow jellybean. If Jack picks two jellybeans replacing the first, then find the probability of each.
P(blue and red) =
P(yellow and green) =
P(blue or yellow, green) =
P(green and blue and red) =
Answer: See below for totals:
Step-by-step explanation:
P(blue and red) = [tex]\frac{4}{16} *\frac{5}{16} = \frac{20}{256} =\frac{5}{64}[/tex]
P(yellow and green) = [tex]\frac{1}{16} *\frac{6}{16} =\frac{6}{256} = \frac{3}{128}[/tex]
P(blue or yellow, green) = [tex]\frac{5}{16} *\frac{6}{16} = \frac{30}{256} =\frac{15}{128}[/tex]
P(green and blue and red) =[tex]\frac{6}{16} *\frac{4}{16} *\frac{5}{16} =\frac{120}{4096} =\frac{15}{512}[/tex]
Hope this helps!
100 POINTS!
Determine which function has the greater rate of change, if either.
A. Equation B has a greater rate of change because it's rate of change is, - 1/4
B. Equation A has a greater rate of change because it's rate of change is, - 5/6
C. Neither function has the greater rate of change because their slopes are both, - 1/4
D. Neither function has a greater rate of change because their slopes are both, - 5/6
Answer:
it's giving B.
I can really explain why but it's giving B 5/6 is greater than da amount..
what is the equation of the line that passes through the point (-3,7) and has a slope of 1/3
Answer:
y = 1/3 x + 8.
or in standard form:
x - 3y = -24.
Step-by-step explanation:
To answer this we use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Here we have m = 1/3 and (x1, y1) = (-3, 7), so:
y - 7 = 1/3(x - (-3))
y - 7 = 1/3( x + 3)
y - 7 = 1/3 x + 1
y = 1/3 x + 8 .
This is the slope-intercept form of the equation.
Converting to standard form, we first multiply by 3:-
3y = x + 24
- x + 3y = 24
x - 3y = -24.
A dentist is making identical dental care bags for patients using 56 tubes of toothpaste, 112 packets of floss, and 85 toothbrushes. What is the greatest number of identical dental care bags the dentist can make with the least amount of items leftover? Describe the contents of each bag. A dentist is making identical dental care bags for patients using 56 tubes of toothpaste, 112 packets of floss, and 85 toothbrushes. What is the greatest number of identical dental care bags the dentist can make with the least amount of items leftover? Describe the contents of each bag.
This question was not correctly written
Correct Question
A dentist is making identical dental care bags for patients using 56 tubes of toothpaste, 112 packets of floss, and 84 toothbrushes. What is the greatest number of identical dental care bags the dentist can make with the least amount of items leftover? Describe the contents of each bag.
Answer:
What is the greatest number of identical dental care bags the dentist can make with the least amount of items leftover?
28 identical dental care bags
Describe the contents of each bag.
2 tubes of toothpaste, 4 packets of floss and 3 toothbrushes.
Step-by-step explanation:
We solve for this using greatest common factor method
Step 1
Find the factors of 56, 84 and 112
The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56
The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 112 are: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
The greatest common factor amongst them is = 28
Hence, the greatest number of identical dental care bags the dentist can make with the least amount of items leftover is 28 bags.
Describe the contents of each bag.
Each bag should contain 2 tubes of toothpaste, 4 packets of floss and 3 toothbrushes.
A bank offers a savings account that earns 0.5% interest each month.
Write an equation for the balance of the savings account after Y months.
Given an initial deposit of 500$ what will the account balance be after 15 months.
Answer
Step-by-step explanation:
This is exponential growth, so we would use the following equation
y=a(b)^x
500(1.005)^15
1. Initial amount is $500, since that's what we started with.
2. Add the following percentage by 100%
100%+0.5%= 1.005
3. We need to find the account balance after 15 months so raise it to the 15th power.
y= 500(1.005)^15
The balance after 15 months will be $538.84.
bye~~
For his phone service, Hong pays a monthly fee of $30, and he pays an additional $0.07 per minute of use. The least he has been charged in a month is $124.92.
What are the possible numbers of minutes he has used his phone in a month?
Use m for the number of minutes, and solve your inequality for m.
Answer:
First, let's set up the equation
· We know the least total he's got in one month is $124.92
· In that one month, he was charged an additional $30 dollar fee.
· During the time he uses his phone, he is charged $0.07 per unknown minutes (which we can consider 'm').
It would look like this;
30 + 0.07m = 124.92
where $30 is the additional fee
$0.07 is the money he is charged per unknown minutes otherwise known as 'm'
$124.92 is the total of that whole month (which has been the least amount of money he used)
So now we solve for m:
30 + 0.07m = 124.92
-30 -30(get rid of any constants first by performing the inverse operation of addition, subtraction)
0.07m = 94.92
/0.07 /0.07 (isolate 'm' by applying the inverse operation of multiplication, division)
m = 1,356 minutes
FREE BRAINLY HURRYA school fund raising event sold a total of 199 tickets and generated a total revenue of $744.30. There are two types of tickets: adult tickets and child tickets. Each adult ticket costs $4.20, and each child ticket costs $3.45. Write and solve a system of equations to answer the following questions.
____ adult tickets and ____child tickets were sold.
Answer:Adult tickets sold is the variable a.Child tickets sold is the variable c.a + c = 1756.40a + 1.35c = 564.50The first equation can be rewritten asc = 175 - aReplace c in the second equation with what it is equal to6.40a + 1.35(175 - a) = 564.50Apply the distributive property6.40a + 236.25 - 1.35a = 564.50Combine like terms5.05a + 236.25 = 564.55.05a = 328.25a = 65c = 175 -65c = 110The sold 65 adult tickets and 110 child tickets
Step-by-step explanation:
if p varies inversely as the square root of q, and p=12 when q=36, find p when q=16
Answer:
Step-by-step explanation:
p = k / sqrt(q)
The first job is to find k.
p = 12
q = 36
Solution for k
12 = k / sqrt(36)
sqrt(36) = +/- 6
Multiply both sides by +/-6
12 * +/- 6 = k
k = +/- 72
Solution for q = 16
p = +/-72/ sqrt(16)
p = +/- 72 / sqrt(16)
p = +/- 72 / +/-4
p = 18