Answer: r = 2/7 -t
Step-by-step explanation: solve r from equation
7r = 2-7t l:7. r = 2/7 - t
The relationship as a function r=f(t) is [tex]\rm f(t)=\dfrac{7-2t}{7}\\\\[/tex].
What is the equation?In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
Consider the relationship;
7r+2t=7
Substitute r = f(t) in the equation
[tex]\rm 7r+2t=7\\\\7f(t)+2t=7\\\\ 7f(t)=7-2t\\\\f(t)=\dfrac{7-2t}{7}\\\\[/tex]
Hence, the relationship as a function r=f(t) is [tex]\rm f(t)=\dfrac{7-2t}{7}\\\\[/tex].
Learn more about equation here;
https://brainly.com/question/9699841
#SPJ2
Imagine that you traveled back in time to the Fourth of July, 1999. You are at Stanford Stadium, watching the semifinal of the Women's World Cup soccer match. Mia Hamm, star of the United States team, has just received the ball on a breakaway. She is 60 yards from Brazil's goal. Brazilian star Sissi is the closest opponent to Hamm and is 10 yards behind her. Mia takes off for Brazil's goal and, while dribbling the ball, is able to run at a speed of 6.8 yards per second. Sissi takes off at the same time as Hamm and runs at 8.4 yards per second. (She is able to run faster because she isn't dribbling the soccer ball.) Hamm has decided to shoot at the exact moment that Sissi catches up to her, because at that point it will still be difficult for Sissi to block the shot when she is side by side with Hamm. How far away from the goal will Hamm be when she shoots
Answer:
17.5 yards
Step-by-step explanation:
Speed is the ratio of distance to time. It is given by the formula:
Speed = distance / time
Mia Hamm is running at a speed of 6.8 yards per second. Let us assume that Mia covers a distance (d) during time (t) when Sissi catches up to her. Hence:
6.8 = d / t
t = d / 6.8
Sissi was 10 yards behind Mia Hamm and running at 8.4 yards per second. Therefore:
8.4 = (d + 10) / t
t = (d + 10)/ 8.4
d / 6.8 = (d + 10)/ 8.4
8.4d = 6.8d + 68
1.6d = 68
d = 42.5 yards
Mia had covered 42.5 yards when Sissi catches up with her. Therefore Mia Hamm distance to goal = 60 yards - 42.5 yards = 17.5 yards
Write an equation for the trend line shown. Type answer in y = mx + b format.
Answer:
y=1/4x+250
Step-by-step explanation:
Answer:
y = 12.5x + 250
Step-by-step explanation:
(4,300) , (8,350)
m = 350 - 300 / 8 - 4 = 25/2 = 12.5
y - 300 = 12.5(x - 4)
y - 300 = 12.5x - 50
y = 12.5x + 250
In the balcony of an auditorium, there are 20 seats in the first row, 22 seats in the second row and 24 seats in the third row. Assuming this pattern continues, write the explicit form of a sequence describing the number of seats in each row.
Answer:
is two more than the row before
Step-by-step explanation:
i hope i help\
Pls help, i will give brainliest:
Consider the graphs which summarize the data on the number of hours per week of television viewing by two groups: 12-17 year-old Girls and 12-17 year-old Boys. Choose all that are correct.
The median for the girls is 16.
The median for the boys is 22.
The interquartile range for the girls is 28
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Answer:
a,b,e
Step-by-step explanation:
Answer:
B, D, E
OR
The median for the boys is 22
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Step-by-step explanation:
I just did it and got it right
Which expression has a lesser value than -10? a. 8+ (-12)
b. – 14 – 2 + 8
c. 4-(-12)
d. - 2 +(- 12) + 2
please show work!
Answer:
D
Step-by-step explanation:
Which expression has a lesser value than -10?
a. 8+ (-12)= -4
b. – 14 – 2 + 8= -16+8= -8
c. 4-(-12)= 16
d. - 2 +(- 12) + 2 = -12
Answer:
Step-by-step explanation:
a.
8 +(-12) = 8-12 = -4
-4 > -10
b.
14-2+8 = 12+8 = 20
20 > -10
c.
4-(-12) = 4+12 = 16
16 > -10
d.
-2+(-12)+2 = -2-12+2 = -14+2 = -12
-12 < -10
Pless help I want to hang my self
A rectangular prism has a length of 1į yards, a width of 25 yards, and a height of 4 yards. Enter the volume of the prism as a mixed number in simplest form in the box. yd3
Elena went to a sporting goods store that
was having a sale. She bought a tennis
racket and 3 cans of tennis balls. How much
will she pay for everything, including tax?
Are there any other numbers to this question? I will be glad to help.
PLEASE I NEED HELP QUICK I HAVE A TIME LIMIT
Answer:
Step-by-step explanation:
AC² + AP² = PC²
AC² + 5² = 13²
AC = 12
radius = AC/2 = 6
Evaluate and simplify the expression when r=2 and s=3
Answer:13
Step-by-step explanation:plug in the the numbers
Answer:20
Step-by-step explanation:
I’m smart
Im a game with 10 floating ducks,there are 2 ducks with a green dot on the bottom,3with a blue dot and 5 with a red dot.What is the probability of selecting a green duck
Answer:
2/10 or 1/5
Step-by-step explanation:
There are a total of 10 ducks, and only 2 have green dots.
So the probability would be 2 / 10, which simplifies to 1 / 5.
Greatest common factor of 2 and 10: 2
So: 2 ÷ 2 = 1
10 ÷ 2 = 5
If cotton candy sells for $4 per bag and the booth is
open for 12 hours, how many bags does the owner
have to sell to break even?
Answer:
Here ya go ! :)
Step-by-step explanation:
Find f'(x) for the given function.
f(x) = 5/3-x
Answer:
The derivative is:
[tex]f^{\prime}(x) = -\frac{5}{x^2-6x+9}[/tex]
Step-by-step explanation:
We are given the following function:
[tex]f(x) = \frac{5}{3-x}[/tex]
Derivative of a quotient:
Suppose we have a quotient:
[tex]f(x) = \frac{g(x)}{h(x)}[/tex]
The derivative is:
[tex]f^{\prime}(x) = \frac{g^{\prime}(x)h(x) - h^{\prime}(x)g(x)}{h(x)^2}[/tex]
In this question:
Numerator [tex]g(x) = 5, g^{\prime}(x) = 0[/tex]
Denominator [tex]h(x) = 3 - x, h^{\prime}(x) = -1[/tex]
So
[tex]f^{\prime}(x) = \frac{0(3-x) - 5}{(3 - x)^2} = -\frac{5}{x^2-6x+9}[/tex]
The derivative is:
[tex]f^{\prime}(x) = -\frac{5}{x^2-6x+9}[/tex]
Factorise the following.
Answer:
iii. (l + m - n)(l - m + n)
vi. (5a -b) ( 5b - a)
Step-by-step explanation:
iii. l² - (m - n)²
= (l + m - n)(l - m + n)
vi. 4(a+b)² - 9(a-b)²
= (2(a+b))² - (3(a-b))²
= (2(a+b) + 3(a-b)) (2(a+b) - 3(a-b))
= (2a+2b + 3a - 3b) (2a+2b - 3a + 3b)
= (5a -b) ( 5b - a)
Q. 1) l²- (m - n)²
=(l - m + n)(l + m - n)
Q.2) 4(a+b)²- 9(a-b)²
= [(2(a+b))²- (3(a-b))²]
=[2(a+b)+3(a-b)][ 2(a+b)-3(a-b)]
=[2a+2b+3a-3b][2a+2b-3a+3b]
=[5a-b][5b-a] ]
1) How many ink cartridges can you buy with 77 dollars if one cartridge costs 11 dollars ?
Simplify the complex fraction. 2/3m-1/2m 3m/3+4/5m
Answer:
131m/210 I THINKKKKK
Step-by-step explanation:
RNDJDJDJSJD
Let U = {1, 2, 3, 4, 5, 6, 7, 8}, A = B = and C = {1, 3, 7}. Find the following. (Enter your answers as a comma-separated list.) A ∪ B
Answer: C = {1, 3, 7}
Step-by-step explanation:
Joe earned $25500 per annum and received a 6.35% raise. How much does he earn now?
Answer:
1619.25
Step-by-step explanation:
25500 x 6.35 % = 1619.25
Suppose f is a linear function such that f(4)= 8 and f(9)= 1. Find the equation for f.
Find the measure of exterior 1.
Answer:
90 degrees
Step-by-step explanation:
A.P.E.X
Manny bought 5 pounds of dog food for $8.00. At this rate, how much would 15
pounds cost? *
Answer:
24 dollars
Step-by-step explanation:
each pound is $1.60 and 15 times $1.60 equals 24
Answer:
$24
Step-by-step explanation:
5/8=15/x
cross product
8*15=5*x
120=5x
x=120/5
x=24
Help please!!!!!!!!!!
Answer:
6/8,
12/16,
24/32
48/64
96/128
192/256
384/512
Step-by-step explanation:
44 and 45 are alternate interior
angles. Find the measure of 25.
{
11565°
43/44
44 = 115°
45 = [?]
45/46
47/48
274
Answer:
115°
Step-by-step explanation:
angles 4 and 5 are alternate angles which means they would be the same amount
Answer:
Solution given:
<5=115°[corresponding angle]
IT'S A TIME SENSITIVE EMERGENCY!!!
2. Mai, Clare, and Tyler are hiking from a parking lot to the summit of a mountain. They pass a sign that gives distances. Parking lot: mile Summit: 1 miles Mai says: "We are one third of the way there." Clare says: "We have to go twice as far as we have already gone." Tyler says: "The total hike is three times as long as what we have already gone." Can they all be correct? Explain how you know.
Complete question is missing, so i have attached it.
Answer:
Yes, they are all correct
Step-by-step explanation:
From the attached image, we see that the sign is showing;
Parking lot: ¾ miles
Summit: 1½ miles
Summit distance can also be expressed as an improper fraction = 3/2 miles
Now, since they started hiking from the park to the summit, it means that they had moved ¾ mile from the parking lot and had 3/2 miles left to get to the summit.
Thus, total distance from parking lot to summit = ¾ + 3/2 = 9/4 miles
Now, let's analyze each of their statements;
Mai said they are a third of their way there.
They had covered 3/4 mile and the total distance is 9/4 miles.
Thus, fraction of total distance covered is;
9/4 ÷ 3/4 = 1/3.
So, Mai is correct
Clare said they have to go twice as far as they had already gone.
They had covered 3/4 miles.
Therefore, twice this = 2 × 3/4 = 6/4 = 3/2 which is same as the sign distance left to the summit.
Thus, Clare is correct
Tyler said that the total hike is three times as long as what we have already gone.
They had gone 3/4 miles
3 times this = 3 × 3/4 = 9/4 miles.
This tallies with the total distance calculated earlier.
Thus, they are all correct
Find the measure of 46.
t
56°/1249
46
te
s6 = [?]
Answer:
56°
Step-by-step explanation:
1st reason= alternate angles.
2nd reason= 124 and angle 6 is co-interior angles which means that little are shoudk adds up to 180.
180-124=56
Can someone help me? I’ll reward points + brainalist
Answer:
Option A is your answer ☺️☺️☺️
Help me with number
4,5,6,7
Answer
number
4.D
5.B
6.C
7.BHopes this helpWhat is the y-intercept of this line? Acellus, 10 points for answer.
Answer:
y-intercept is ( 0 , 5 )
Step-by-step explanation:
Point P is (1,2)
Point Q is (7,6)
Which of the following best represents the length of segment PQ?
Find the area of the trapezoid.
Recall : (b + b) h
Answer:
36 Sq cm
Step-by-step explanation:
Area of the trapezoid
[tex] = \frac{1}{2} \{8 + (4 + 8 + 4) \} 3\\ \\ = \frac{1}{2} \{8 + 16 \} 3\\ \\ = \frac{1}{2} \times 24 \times 3\\ \\ = 12 \times 3 \\ \\ = 36 \: {cm}^{2} [/tex]
On a standardized exam, the scores are normally distributed with a mean of 135 and a
standard deviation of 20. Find the Z-score of a person who scored 115 on the exam.
Answer:
-1
Step-by-step explanation:
mean, mu = 135.
Standard deviation = 20
X = 115
use the z score formula : [tex]z = \frac{x-mu}{standard deviation}[/tex]
to get (115-135)/20 = -1