Steve manages a skate park and he has been analyzing the attendance data. Steve finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 5x. Steve also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by g(x) = −x + 6. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.
Answers
Answer:
(1, 5)Step-by-step explanation:
Both of the graphs include infinite number of points.
The solution is the common point that belongs to both of the graphs, their intersection, which is the point (1, 5)
This is the point when the temperature change is positive 1 degree. At this point number of visitors is equal to number of those leaving the part early (5 visitors).
Answer:
(1,5)
Step-by-step explanation:
The graphs intersect at (1,5). At this point, the temperature change is 1 degree and the number of visitors is equal to those leaving early, which is 5 visitors.
Related Questions
3) Lynn helped you prepare 35 sets of injections of dopamine for the clinic this week. Each injection is 50mL. How many liters of dopamine did the clinic use this week?
Answers
Answer:
1.75 liters
Step-by-step explanation:
Multiply 50ml per set by 35 sets to get 1750ml. If 1000 ml is 1 liter, then 1750 ml is 1.75 liters. :)
I need help with this math question
Answers
m7= 127
m8= 53
15% of customers that come to your
taco truck order two tacos. If 300 guests
come to your store, how many of them
will you expect to order two tacos?
NO LINKS
Answers
Answer:
45
Explanation:
No explanation
Seven cards are drawn from an ordinary deck. In how many ways is it possible to draw (b) only 8's, 's and (c) no 's, 's and (d) exactly 2 or ; (e) spades and hearts? (a) Number of ways to draw only 's = 0 (b) Number of ways to draw only 's, 's, and 's = 924 (c) Number of ways to draw no 's, 's, and 's = 3838380 (d) Number of ways to draw exactly 2 s or s = 3,801,028 (e) Number of ways to draw spades and hearts = 55770 Question is complete. Tap on the red indicators to see incorrect answers.
Answers
Complete question :
Seven cards are drawn from an ordinary deck. In how mnat ways is it possible to draw (a) only 5s (b)only 8s, 9s, and 10s, (c) no 8s, 9s, and 10s (d) exactly 2 jacks or kings, (e) 5 spades and 2 hearts?
Answer:
0; 792 ; 100396 ; 30408224 ; 18643560 ;
Step-by-step explanation:
Number of cards in a deck = 52
Number of cards to be drawn = 7
Using combination:
nCr = n! ÷ (n-r)!r!
A.)
Number of 5's in a deck = 4
4C7 = 0
(B.)
only 8s, 9s, and 10s,
Number of 8, 9 and 10's = 4 *3 = 12
12C7 = 12! ÷ 5!7! = 792
(C)
no 8s, 9s, and 10s ;
Number of cards to select from = 52 - (3(4)) = 40C7 = 18643560
(D)
exactly 2 jacks or kings,
Number of jack or king in deck = 8 ; other 5 could be any of the rest : (52 - 8) = 44
8C2 * 44C5 = 28 * 1086008 = 30408224
(e) 5 spades and 2 hearts?
Number of spades = 13
Number of hearts = 13
13C5 * 13C2
1287 * 78 = 100396
Bailey is comparing two squares. The first square has an area of 144 cm2, and the second square has an area of 81 cm2. What is the difference in the side lengths of the two squares?
Answers
Answer:
They are both 63 Inches/ Lengths apart.
Step-by-step explanation:
You see when it comes to cm2 inches and lengths You must always Analyze your work and figure out if you can seperate the two among themselves equally. 81 Goes into 144. 63 plus equation.
coyote, owl rabbit, field mouse, grass
What might cause this dramatic decline in the rabbit population?
A. An increase in the field mouse population.
B. A decrease in the owl population.
C. An increase in the amount of grass available.
D. A decrease in the coyote population.
Answers
Answer:
°¶°Here the answer is B °¶°Find the area of the semicircle. Round your answer to the nearest hundredth. PLSSSSSSS!!!!!!!!!!!
Answers
Answer:
1.57 ft²
Step-by-step explanation:
Diameter = 2ft
Radius = 1/2 (diameter) = 1 ft
Area of semicircle = 1/2( πr²)
Area = 1/2 (3.14)(1)²
Area = 1/2(3.14)
Area = 1.57 ft²
The original price of a book is $25. The book is on sale for 30% off.
What percent of the price are we paying? What is the price you will pay
for the book?
Answers
Answer:
You will pay 70% of the original price. You will pay $17.50
Step-by-step explanation:
100% is full price because 100%=1 (one whole).
100% - 30% = 70%
70% = 0.7
0.7 multiplied by $25 is $17.50
The ratio 2/8 could represent which of the following?
A) 8 parts that are one fourth each
B) 4 parts that are one-half each
C) 2parts that are one eighth each
D) 2 parts that are one fourth each
Answers
Answer:
C) 2parts that are one eight each.
Step-by-step explanation:
The reason I chose C) as the correct answer is becasue I evaluated it with the steps below.
A) - 8 parts that are one fourth each.
This cannot be correct because it would surpase the 2/8ths (would be over).
B) - 4 parts that are one-half each.
This cannot be correct because it would surpass the 2/8ths (would be over).
C) - 2parts that are one eight each.
This can be correct because 2 parts have 1/8th. 1/8 + 1/8 = 2/8.
D) - 2parts that are one fourth each.
This cannot be correct because the denominator is not 8, it is 4 meaning it wouldn't fit into the format the question asked for (which was 2/8).
This makes the correct answer C).
I hope this helps you understand and helps you in your question.
Find the common ratio of the geometric sequence 6 , 24 , 96 , . . .
Answers
Answer:
4
Step-by-step explanation:
6 * 4 = 24
24 * 4 = 96
Find X and Y, THIS IS DUE VERY SOON, PLEASE HELP!
Answers
Answer:
X is equal to 8, and Y is equal to 35
Step-by-step explanation:
You'll use the Pytagoras theorem to find the values of X and Y.
write the sum 3+3+3+3+3+3 using sigma notation
Answers
Answer:
18
Step-by-step explanation:
The sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex] .
What is sigma notation?A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum.
According to the question
The sum 3+3+3+3+3+3
Represent the sum as sigma notation
[tex]\sum_{i=1}^{6}3[/tex] start at 1 and goes up to 6
= 3+3+3+3+3+3
Hence, the sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex] .
To know more about sigma notation here:
https://brainly.com/question/16701078
#SPJ3
a picture frame is 4 inches taller than it is wide and has an area of 192 square inches. What are the dimensions of the picture frame? using the quadratic method
thank you :)
Answers
Answer: width is 12, length is 16
Step-by-step explanation:
A= l*w
l=w+4
A=w(w+4)
[tex]A=192\\192=w^{2} +4w\\0=w^{2} +4w-192[/tex]
factor
(w+16)(w-12)
w= -16 or w=12
width is 12, length is 16
Plz help me well mark brainliest if you are correct!
Answers
Answer:
The line segment RU
Step-by-step explanation:
The radius of a circle is defined as the distance from the center to the edge. Since answer D represents that definition, it is a radius.
Answer: D
Step-by-step explanation:
The radius of a circle is the half the line in the middle so the only ones that form half a line across the middle is line segment RU
Hope this helped! :)
Which statement describes the phospholipid bilayer that makes up a cell membrane?
A) The hydrophobic heads point into and out of the cell, while the hydrophilic tails form a layer between the heads.
B)The hydrophobic tails point into and out of the cell, while the hydrophilic heads form a layer between the tails.
C)The hydrophilic heads point into and out of the cell, while the hydrophobic tails form a layer between the heads.
D)The hydrophilic tails point into and out of the cell, while the hydrophobic heads form a layer between the tails.
Fast plz.
Answers
Answer:
Option D
Step-by-step explanation:
The phospholipid bilayer that makes up a cell membrane comprises of two essential parts a) Water loving part or the hydrophilic part which points outwards towards cytoplasm and b) Water hating part of hydrophobic part which point towards the interior of the membrane, and is sandwiched between two layers of hydrophilic heads
Hence, option D is correct
Answer:
d
Step-by-step explanation:
edge 2021
If a figure has elght vertices and 12 edges, how many faces does it have? 10
8
6
4
Answers
Answer:
It would have 6 faces
Step-by-step explanation:
In any convex polyhedron:
let v be the number vertices , e is the number of edges and f is the number of faces then;
....[1]
As per the statement:
If a figure has eight vertices and 12 edges
⇒v = 8 and e = 12
Substitute in [1] to solve for f, we have;
⇒
Subtract 6 from both sides we have;
f = 6
PLEASE HELPPP! I'LL GIVE BRAINLEST
Answers
Answer:
hiiio......
Step-by-step explanation:
b)8 boxes...
Help me pls I need this answer
Answers
Answer:
Assuming that [tex] \overline{AOC} [/tex] is a diameter.
Given that [tex] m\angle{BAC} \: = \: 66° [/tex]
And that point O is the center of the circle
[tex] \boxed{m\angle{BAC} \: = \: 57°} [/tex]
Explanation:
Because angle AOB is subtended by arc AB from point O.
Arc AB is equal to the measure of that angle.
Since arc ABC is subtended by the diameter, the arc is 180°.
Studies have suggusted that twins, in their early years, tend to have lower IQs and pick up language more slowly than non-twins. The slower intellectual growth may be caused by benign parental neglect. Suppose it is desired to estimate the mean attention time given
to twins per week by their parents. A sample of 26 sets of two-year-old twin boys was taken, and after one week the attention time
received was recorded. The mean was found to be 27.4 hours with a standard deviation of 11,2 hours. Use this information to contruc
a 98% confidence interval for the mean attention time given to all twin boys by their parents, assuming that the population is
approximately normally distributed, Round the endpoints to one decimal place.
Confidence interval:( , )
Answers
Answer:
Confidence interval: (21.9, 32.9).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 26 - 1 = 25
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 25 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.485
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.485\frac{11.2}{\sqrt{26}} = 5.5[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 27.4 - 5.5 = 21.9 hours
The upper end of the interval is the sample mean added to M. So it is 27.4 + 5.5 = 32.9 hours
Confidence interval: (21.9, 32.9).
Please only answer if you're 100% sure it's correct. Thank you. (It's pretty easy.)
Answers
Answer:
2x-7, 2x-7=14, 2+7
Step-by-step explanation:
I am 99% sure these are correct
A=53sq.in find the value of x. Round to the nearest tenth
Answers
Answer:
shawty i think we need more info to solve this-
Step-by-step explanation:
ILL GIVE BRAINLEST, find the value of x.
Answers
Answer:
x⁰ = 45⁰
Step-by-step explanation:
As it is given that the 2 sides of a triangle are equal, then it is an isosceles triangle.
Now, by applying the Triangle Sum Property,
x⁰ + 90⁰ + 45⁰ = 180⁰
x⁰ = 180⁰ - 135⁰
x⁰ = 45⁰
Hope it helps :)
Answer:
x = 45 degrees
Step-by-step explanation:
A triangle is always 180 degrees. One angle is already labeled 45 degrees, and we can tell this is a right triangle, so the other angle is 90 degrees. Add 45 + 90 to get 135. Then subtract 135 from 180 to get 45, which is the value of the missing angle.
Sum the following numbers then divide by 5
( 3 + 5 + 6 + 2 + 4 ) /5 } = ? What is your answer ?
Answers
Answer:
4
Step-by-step explanation:
(3+5+6+2+4) / 5 = ?
(20) / 5 = 4
Can someone help me please ?
Answers
Answer:
It's 48 degrease
Step-by-step explanation:
Both of the other angles are the same which means that the other two are gonna be the same.
32 1/2 meters to feet
Answers
Answer:
106.6273
Step-by-step explanation:
Answer:
106.6273 ft
Step-by-step explanation:
Question 8 of 10 In the polynomial below, what number should replace the question mark to produce a difference of squares? X2 + ? x-25 А. 0 B. 25 C. 10 D. 5 SUBNET
Answers
Answer:
A) The number should be 0
Step-by-step explanation:
The differences of squares formula is x²-a²=(x+a)(x-a)
If we expand (x+a)(x-a), we see that it's x²-ax+ax-a² where -ax+ax=0 since the coefficients cancel out. Therefore, option A is correct.
Write the word sentence as an equation. Then solve the equation.
A number k increased by 7 is 34.
An equation that represents this word sentence is
.
The solution is k=
.
Answers
Answer:
27
Step-by-step explanation:
Here's the complete question:
Write the word sentence as an equation. Then solve the equation. A number k increased by 7 is 34.
An increase in k simply means that there's an addition. This will be:
k + 7 = 34
k = 34 - 7
k = 27
Therefore, the value of k is 27
Step-by-step explanation:
Answer:
k = 34 - 7
k = 27
Step-by-step explanation:
increased by 7 = 34 which is means,
this number was 27
The solution is Equation: k = 34 - 7
Solution: k = 27
Which of the following tables shows that y is a function of x?
Answers
Answer:
Table B
Step-by-step explanation:
Recall: a table of values can only represent a function if and only if every x-value has exactly only one y-value.
The only table that satisfies this condition is the table in option B.
In table B, every x-value is related to only exactly one y-value.
I really want to know what 2+2 is.
Answers
Answer:
Step-by-step explanation:
4
Answer:
It's 4 for you and 5 points for me
Step-by-step explanation:
Bracelets use 1/4 yard of string and 10 charms. You have 9/10 yards string and 72 charms. If you use all the string what fraction of the 72 charms did you use?
Answers
Answer:
1/2 of the charms usedStep-by-step explanation:
Ratio of string and charms:
1/4 yard of string ⇒ 10 charms9/10 yard of string ⇒ xSolve by cross-multiplication
x = 10*9/10 ÷ 1/4x = 36 charmsThe fraction of all charms to number of used:
72/36 = 1/2