Identify the function type in the graph, and then describe a relationship that could be modeled by the function represented by the graph.
Answers
Answer:
Step-by-step explanation:
This is a decaying exponential function whose initial value is (0, 2).
Related Questions
Convert the following numbers of calories or
kilocalories into joules or kilojoules.
a. 7845 cal
b. 4.55 x 104 cal
C. 62.142 kcal
d. 43,024 cal
Answers
Answer:
32.823 kJ190.4 kJ260.00 kJ180.012 kJStep-by-step explanation:
The conversion factor for food energy or thermochemical calorimetry* is ...
1 calorie = 4.184 J
1000 calorie = 4.184 kJ
__
a. 7845 cal = 7845·4.184 J = 32,823 J = 32.823 kJ
b. 4.55·10^4 cal = 4.55·10^4·4.184 J = 1.904·10^5 J = 190.4 kJ
c. 62.142 kcal = 62.142·4.184 kJ = 260.00 kJ
d. 43,024 cal = 43,024·4.184 J = 180,012 J = 180.012 kJ
_____
* The thermochemical calorie is defined in terms of the heat capacity of water. An international calorie of 4.1868 J is defined in terms of energy, without respect to the heat capacity of water.
PLEASE HELP! WILL MARK BRAINLIEST!! 13 POINTS!
There are two points on the circle A and B. Each point has a light which is switched on. Bob starts at the point A and moves on the circle. Each time when he reaches to a point A or B he does the following: 1. If he is on A and the light on B is switched on then he changes the light on A (if it is switched off then he switches on, and vice-versa), 2. If he is on A and the light on B is switched off then he doesn't change the light on A. 3. If he is on B and the light on A is switched on then he changes the light on B (if it is switched off then he switches on, and vice-versa), 4. If he is on B and the light on A is switched off then he doesn't change the light on B. Bob starts from the point A (first step). What will be the position of lights after the 107th step.
(A) A and B are switched on
(B) A is switched on and B is switched off
(C) A is switched off and B is switched on
(D) A and B are switched off
Answers
Answer:
A will be switched off and B will be switched on.
Step-by-step explanation:
Because there are four different positions this can be in and there are 107 steps, we can divide 107 by four.
107 divided by four is 26 and the remainder is 3. That means the steps have gone around 26 times, and we are now on the third step before we complete the 27th cycle. The third step is C, where A is switched off and B is on.
Answer:
B
Step-by-step explanation:
Trust me :)
plssssss help number 18 and 20
Answers
Answer:
18).Total mass of materials = 4.8kg
For gravel
55% of the materials are gravel
So we have
55/100 × 4.8 kg
= 2.64kg
For sand
30% of the materials are sand
We have
30/100 × 4.8
= 1.44kg
For cement
The remaining materials were cement so we add the masses of both the sand and gravel and subtract it from the total mass
That's
4.8 - (2.64 + 1.44)
4.8 - 4.08
= 0.72 kg
20).She earns £ 800 per week
She receives a raise of 7.5% which is
100 + 7.5 = 107.5%
So we have
107.5 / 100 × £ 800
= £ 860
She now earns £ 860 per week
Hope this helps you
Step-by-step explanation:
1)of 4.8kg concrete 55% is gravel,30% is sand and 15% is cement.
percent=Rate*Base
Pgravel=55%*4.8kg
Pgravel=2.64kg
Psand=30%*4.8kg
Psand=1.44kg
Pcement=15%*4.8kg
Pcement=0.72kg
2)percent=Rate*Base
percent=7.5%*£800
percent=60£
total earn=60£ + £800
total earn=£860
Create the smallest cone possible with the tool and record the values of the radius height and volume in terms of pi then scale the original cone by the given factors and record the resuling volumes
Answers
Answer:
PLATO sample answer
Step-by-step explanation:
.
Answer:
Step-by-step explanation:
A little shop sells Christmas toys. The wholesale price for each toy in a consignment of 50 toys was $5.5. Half of this quantity was sold before Christmas for the sales price of $15 per piece. two-fifth of the remaining toys have been sold in the next six days for half of the sales price. Finally, the rest of toys have been sold after the New Year for one-third of the sales price. What was the profit the shop made on selling these toys?
Answers
Answer:
[tex]Profit = \$250[/tex]
Step-by-step explanation:
Given
Number of Toys = 50
Unit Cost Price = $5.5
Unit Selling price = $15
Required
Determine the profit after sales
First, we need to determine the total cost price;
[tex]Cost\ Price = Number\ of\ toy *\ Unit\ cost\ price[/tex]
[tex]Cost\ Price = 50 * \$5.5[/tex]
[tex]Cost\ Price = \$275[/tex]
First, we need to determine the total sales;
____________________________________________________
Half of the toy was sold at $15;
[tex]Half\ of\ the\ toy = \frac{1}{2} * 50[/tex]
[tex]Half\ of\ the\ toy = 25[/tex]
[tex]Sales = \$15 * 25[/tex]
[tex]Sales = \$375[/tex]
____________________________________________________
Two-fifth of the remaining was sold at half of the sales price
From the above calculation;
[tex]Remaining\ Toy = 50 - 25[/tex]
[tex]Remaining\ Toy = 25[/tex]
Calculating Two-fifth of the remaining:
[tex]\frac{2}{5} * 25[/tex]
[tex]= \frac{50}{5}[/tex]
[tex]= 10[/tex]
Calculating half of the sales price:
[tex]\frac{1}{2} * \$15[/tex]
[tex]\$7.5[/tex]
This means that 10 toys were sold for $7.5
[tex]Sales = 10 * \$7.5[/tex]
[tex]Sales = \$75[/tex]
____________________________________________________
The remaining was sold at one-third of the sales price
From the above calculations (1 & 2);
[tex]Remaining\ Toy = 50 - 25 - 10[/tex]
[tex]Remaining\ Toy = 15[/tex]
Calculating one-third of the sales price:
[tex]\frac{1}{3} * \$15[/tex]
[tex]\$5[/tex]
This means that 15 toys were sold for $5
[tex]Sales = 15 * \$5[/tex]
[tex]Sales = \$75[/tex]
____________________________________________________
Now the total sales can be calculated;
[tex]Total\ Sales = \$375 + \$75 + \$75[/tex]
[tex]Total\ Sales = \$525[/tex]
[tex]Profit = Total\ Sales -\ Cost\ Price[/tex]
[tex]Profit = \$525 -\$275[/tex]
[tex]Profit = \$250[/tex]
HELP ME PLZ NEED ANSWER Which relation is a function? A coordinate grid containing a U shape with arrows on both ends that opens to the right. The bottom portion of the U passes through the origin. A coordinate grid with the graph of a circle centered at the origin and passing through the point begin ordered pair 2 comma 1 end ordered pair. A coordinate grid containing a U shaped graph with arrows on its ends. The U shape opens upwards and the bottom of the U shape is located at the origin. Coordinate grid with graph of a vertical line at x equals 3.
Answers
Answer:
A function is a relation in which each input has only one output.
Step-by-step explanation: In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.
A function is a coordinate grid containing a U-shape with arrows on both ends that open to the right, and in which the bottom portion of the U passes through the origin which is the correct answer would be an option (A).
What is a function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
A function is a coordinate grid with a U-shaped pattern, arrows on both ends that open to the right, and the origin at the bottom of the U.
Because there is only one output of the relation, y, for any input x (1, 2, 3, or 0), is a function of x. Because the input y = 3 contains multiple outputs, including x = 1 and x = 2, x is not a function of y.
Therefore, the function is a coordinate grid containing a U-shape with arrows on both ends that open to the right, and in which the bottom portion of the U passes through the origin.
Hence, the correct answer would be option (A).
Learn more about the functions here:
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A baseball 4 feet off the ground is hit with an upward velocity of 52 feet per second.
The height of the baseball in feet after t seconds is given by the equation
h = – 1672 + 52t + 4. A fan catches the ball 16 feet off the ground when it is coming
down. When does the fan catch the ball?
The fan catches the ball
seconds after it is hit.
(Note: the ball is 16 feet high at one point when it is going up and again when it is
coming down.)
The solution is
Answers
Answer: The fan catch the ball after 3 seconds.
Step-by-step explanation:
Given, A baseball 4 feet off the ground is hit with an upward velocity of 52 feet per second.
The height of the baseball in feet after t seconds is given by the equation
[tex]h = - 16t2 + 52t + 4[/tex]
If a fan catches the ball 16 feet off the ground when it is coming down.
then, at that time h= 16 feet
At h= 16
[tex]16=-16t^2+52t+4\\\\\Rightarrow\ 16t^2-52t+12=0\\\\\Rightarrow\ 4t^2-13t+3=0[/tex]
[tex]\Rightarrow\ 4t^2-t-12t+3=0\Rightarrow\ t(4t-1)-3(4t-1)=0\\\\\Rightarrow\ (4t-1)(t-3)=0\\\\\Rightarrow\ t=\dfrac{1}{4},\ t=3[/tex]
From the graph , it can be observe that when ball comes back , for height 16 feet the corresponding time t= 3 sec
So, the fan catch the ball after 3 seconds.
Help please and show work too
Answers
Answer:
Below
Step-by-step explanation:
51)
Let n be the first even number.
So the four consecutive even numbers are:
● n
● n+2
● n+4
●n+6
The smallest minus twice the larger is 4
● n-2(n+6)= 4
●n-2n-12 =4
● -n -12 =4
● -12 = 4+n
● -12-4 = n
● -16 = n
so the first even number is -16 and the largest one is -10
● -16+6= -10
■■■■■■■■■■■■■■■■■■■■■■■■■
Let m be the first integer
So the five consecutive integers are:
● m
● m+1
● m+2
● m+3
● m+4
The sum of this terms is 5.5 times the middle(m+2)
● m+m+1+m+2+m+3+m+4 = 5.5(m+2)
● 5m + 10 = 5.5 m +11
● -0.5 m = 1
●-m = 2
● m= -2
So the integers are;
● -2
● -1 (-2+1)
● 0
● 1
● 2
1. Find P(rolling 2 or 5) with one number cube.
Answers
Answer:
1/3
Step-by-step explanation:
There are 6 possible outcomes when rolling 1 die
1,2,3,4,5,6
There are 2 outcomes that fit the category of 2 or a 5
P ( rolling 2 or a 5) = number of 2's or 5's / total number of outcomes
= 2/6
=1/3
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
A fair dice has 6 outcomes, 1, 2, 3, 4, 5, 6.
The outcomes 2 and 5 are 2 outcomes out of total 6 outcomes.
[tex]\frac{2}{6}=\frac{1}{3}[/tex]
Please solve this: Also show work.... Please help me.. Will give brainly
Answers
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
[tex]\frac{6x+1}{3}+1=\frac{x-3}{6}[/tex]
To make things simple, multiply everything by the LCM of the denominator. In this case, the LCM of 3 and 6 is 6.
[tex]6(\frac{6x+1}{3}+1) =6(\frac{x-3}{6}) \\6(\frac{6x+1}{3})+6(1)=(x-3) \\ 2(6x+1)+6=x-3[/tex]
Now, simplify and solve for x:
[tex]12x+2+6=x-3\\12x+8=x-3\\11x+8=-3\\11x=-11\\x=-1[/tex]
TIME REMAINING
52:37
Lines c and d are parallel lines cut by transversal p.
Horizontal and parallel lines c and d are cut by transversal p. On line c where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 1, 2, 3, 4. On line d where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 5, 6, 7, 8.
Which must be true by the corresponding angles theorem?
∠1 ≅ ∠7
∠2 ≅ ∠6
∠3 ≅ ∠5
∠5 ≅ ∠7
Answers
Answer:
b
Step-by-step explanation:
please help me with vivid explanation
Answers
Answer:
864 m²
Step-by-step explanation:
First calculate the total area of the rectangular field
The area of a rectangle is given by the product of the length and the width
let A be the total area
A = 100*120
A = 12000 m²
Calculate the area of the small rectangles
Let A' be the total area of the four small rectangles and A" the area of one small rectangle A' = 4 A" A' = 4 [([tex]\frac{120-4}{2}[/tex])*([tex]\frac{100-4}{2}[/tex])] A' = 4*58*48A' = 11136 m² Substract the A' from A to get the area of the roadLet A"' be the area of the road
A"' =A-A'
A"' = 12000-11136
A"' = 864 m²
Mark scored an 89 on his first
test, an 85 on his second test, a
95 on his third test, and an 83 on
his fourth test. What is Mark's
average test score for all 4 tests?
Answers
Answer:
88
Step-by-step explanation:
89+85+95+83= 352,
352/4 = 88
PLEASE HELP!!!! What is 2(3j + 6 + 5j) as a verbal expression?
Answers
Answer:
"sixteen j plus twelve"Step-by-step explanation:
Given the expression[tex]2(3j + 6 + 5j)[/tex] let us begin by simplifying the expression first by performing operation with the terms inside the brackets
[tex]2(3j + 6 + 5j) = 2(8j + 6 )[/tex]
We can continue by opening the bracket to further simplify the expression
[tex]2(8j + 6 ) = 16j+2[/tex]
[tex]16j + 12[/tex] is our final answer, now to express this verbal, this is a complex number/expression, expressed as "sixteen j plus twelve"
can you help me ? with this problem ty
Answers
b) 9cm
c) x=3(Aly’s solution)
b)9cm
c)x=3
That’s how I got it hope this helps :)
How do I do this problem? I know basic trig but I can't figure out how i do this. Hopefully you can help soon, I need this quick.
Answers
Answer:
3
Step-by-step explanation:
because its equal to the other side that says 6
x + 3 = 6
x = 6 - 3
x = 3
hope this is correct
Plz help meeeeee 9q=81
Answers
Answer:
q=9
Step-by-step explanation:
9q=81
Divide each side by 9
9q/9=81/9
q = 9
Answer:
Q=9
Step-by-step explanation:
SO BASICALLY TO REMOVE THE 9 FROM ONE SIDE WE DIVIDE BOTH SIDES OF THE EQAUTION BY 9
9Q/9=81/9
WHICH SIMPLIFIES TO
Q=9
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
A number is no more than five. How would you graph this inequality?
Answers
Answer:
X<=5 and you would graph it with a closed dot on five and an arrow going left of it.
Step-by-step explanation:
Answer:
[tex]a<5\\\\a\in R[/tex]
Step-by-step explanation:
In several ways, for example, let:
[tex]a[/tex], an arbitrary constant, where:
[tex]a\in R[/tex]
Besides:
[tex]a< 5[/tex]
Because the number can be greater than five.
Therefore, the graph, would be all number over the interval:
[tex](-\infty, 5)[/tex]
As you can see, all numbers bellow the line [tex]y=5[/tex].
if 2x+1/4 = 12/20 what is the value of x
Answers
Answer:
7/40 or 0.175
Step-by-step explanation:
simplify to get 2x+1/4=3/5
subtract 1/4 from both sides to get 2x=7/20
divide by 2 to get 7/40
this answer i decimal form is 0.175
Answer:
x = 7/40
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2x + 1 /4 = 3 /5
Step 2: Subtract 1/4 from both sides.
2x + 1 /4 − 1 /4 = 3 /5 − 1 /4
2x = 7 /20
Step 3: Divide both sides by 2.
2x /2 = 7 /20 /2
x = 7 /40
Answer:
x = 7 /40
Hope this helps!!
Blue paper chains 4 inches long. Red paper chains are 3 inches long. How many are needed to have 10 inches of paper chains?
Answers
1 blue paper chain and 2 red paper chains
Answer:
1 blue paper chains and 2 red
Step-by-step explanation:
becuase 4 plus 3 plus 3 is 10
what is the area of 1/4 of a circle with a radius of 10
Answers
Answer:
78.5
Step-by-step explanation:
It is 78.5 because you first get the area of the circle, which is 314. Then divide 314 by 4 to get 78.5
The area of 1/4 of a circle with a radius of 10 is 78.5 units²
Given,
1/4 of a circle.
Radius = 10
π = 3.14
We need to find the area of 1/4 of a circle.
What is the area of a circle?It is given as:
Area = πr²
Find the area of 1/4 of a circle.
We have,
Area of a circle = πr²
Radius = 10
1/4 area of a circle:
= 1/4 x πr²
= 1/4 x 3.14 x 10²
= 1/4 x 3.14 x 100
= 78.5 units²
Thus the area of 1/4 of a circle is 78.5 units²
Learn more about finding the circumference and area of a circle here:
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How did the temperature change if: at first it decreased by 60 % and then increased by 80% ?
Answers
Answer:
28% decrease
Step-by-step explanation:
If we decrease by 60%, we are keeping 100-60 = 40%
Let x be the original amount
decrease by 60% = keep 40%
.40 x
If we increase by 80%, we are keeping 100+80 = 180%
(.40x) * 180%
.40x * 1.80
.72x
Take .72 times the original amount
100 - .72 = 28
It decreased 28 %
Answer:
28% decrease
Step-by-step explanation:
Algebra 1!!
x=2y and 2x+3y=21
-solve the given system of equations by substitution
answers-
a. x=6, y=-3
b. x=6, y=3
c. x=3, y=3
d. x=3, y=6
Answers
Answer:
[tex]\huge\boxed{b.\ x=6;\ y=3}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}x=2y&(1)\\2x+3y=21&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\2(2y)+3y=21\\4y+3y=21\qquad\text{combine like terms}\\7y=21\qquad\text{divide both sides by 7}\\\dfrac{7y}{7}=\dfrac{21}{7}\\\boxed{y=3}\\\\\text{Substitute it to (1):}\\x=2(3)\\\boxed{x=6}[/tex]
Answer: (6, 3)
Explanation: Our first equation tells us that x means the same thing as 2y so we can replace the x in the second equation with a 2y.
Our second equation then becomes 2(2y) + 3y = 21.
If we simplify on the left side we get
4y + 3y = 21 which simplifies to 7y = 21.
Solving from here, we find that y = 3.
To find x, plug 3 back in for y in the first equation
to get x = 2(3) which simplifies to x = 6.
So our answer is (6, 3).
Can someone please help me solve this?
Answers
Answer:
(a)
Step-by-step explanation:
The tangent and the normal at point P are perpendicular.
Given
[tex]m_{tangent}[/tex] = 3, then
Given the gradient m of the tangent then the gradient of a line perpendicular to it is
[tex]m_{normal}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex] → (a)
Glven: F(x) = 2x - 1; G(X) = 3x + 2; H(x) = x2
Find F/G/H(2)
121
27
71
Answers
Answer:
3/32
Step-by-step explanation:
One approach to doing this probelm is to evaluate all three functions F, G and H at x = 2:
F(2) = 2(2) - 1 = 3
G(2) = 3(2) + 2 = 8
H(2) = (2)^2 = 4
3/8
Then (F/G)(2) = (3/8), and (F/G/H) = -------- = 3/32
4
The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the number and the equation.
HELP ME PLS!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
23
el número es 32 y si sumamos los dos dígitos suman 5
y si restamos 9 a 32 nos queda 23.
1. Flight 202's arrival time is normally distributed with a mean arrival time of 4:30
p.m. and a standard deviation of 15 minutes. Find the probability that a randomly
arrival time will be after 4:45 p.m.
2. Using the data from question #1, what is the probability that a randomly
selected flight will arrive between 4:15 pm and 2:00 pm? *
3. Using the data from question #1, what is the probability of a randomly selected
flight arriving AFTER 5:00 pm? *
someone pls help
Answers
Answer:
Step-by-step explanation:
1) Let the random time variable, X = 45min; mean, ∪ = 30min; standard deviation, α = 15min
By comparing P(0 ≤ Z ≤ 30)
P(Z ≤ X - ∪/α) = P(Z ≤ 45 - 30/15) = P( Z ≤ 1)
Using Table
P(0 ≤ Z ≤ 1) = 0.3413
P(Z > 1) = (0.5 - 0.3413) = 0.1537
∴ P(Z > 45) = 0.1537
2) By compering (0 ≤ Z ≤ 15) ( that is 4:15pm)
P(Z ≤ 15 - 30/15) = P(Z ≤ -1)
Using Table
P(-1 ≤ Z ≤ 0) = 0.3413
P(Z < 1) = (0.5 - 0.3413) = 0.1587
∴ P(Z < 15) = 0.1587
3) By comparing P(0 ≤ Z ≤ 60) (that is for 5:00pm)
P(Z ≤ 60 - 30/15) = P(Z ≤ 2)
Using Table
P(0 ≤ Z ≤ 1) = 0.4772
P(Z > 1) = (0.5 - 0.4772) = 0.0228
∴ P(Z > 60) = 0.0228
The owner of a minor league baseball team has found that when he charges an average of $13.00 per seat, the average attendance is 810 fans per game. He noticed that for every $2.00 increase in average ticket price, the attendance decreased by an average of 27 fans per game. Which equation shows the revenue, R, as a function of d, the number of $2.00 increases over $13.00? A. R(d) = -54d2 + 1,269d + 10,530 B. R(d) = -54d2 - 1,269d - 10,530 C. R(d) = 54d2 + 1,269d D. R(d) = 27d2 + 459d + 10,530
Answers
Answer:
The correct answer is A. R(d) = -54d2 + 1,269d + 10,530
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Price per seat when the average attendance is 810 fans = $ 13
For every $2.00 increase in average ticket price, the attendance decreased by an average of 27 fans per game.
2. Which equation shows the revenue, R, as a function of d, the number of $2.00 increases over $13.00?
R(d) = (13 + 2d) (810 - 27d)
R(d) = 10,530 + 1,620d - 54d² - 351d
R(d) = -54d² + 1,269d + 10,530
The correct answer is A. R(d) = -54d2 + 1,269d + 10,530
What is a Stem-and-Leaf plot?
4-5 sentences.
Answers
Answer:
A stem and leaf plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit). The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.
Step-by-step explanation:
Example: Long Jump
Sam got his friends to do a long jump and got these results:
long jump
2.3, 2.5, 2.5, 2.7, 2.8 3.2, 3.6, 3.6, 4.5, 5.0
And here is the stem-and-leaf plot:
Stem Leaf
2 3 5 5 7 8
3 2 6 6
4 5
5 0
Stem "2" Leaf "3" means 2.3
Note:
Say what the stem and leaf mean (Stem "2" Leaf "3" means 2.3)
In this case each leaf is a decimal
It is OK to repeat a leaf value
5.0 has a leaf of "0"
Write each of the following expressions without using absolute value. |7m–56|, if m<8
Answers
Answer:
[tex]|7\cdot m -56| = -7\cdot m + 56[/tex] if [tex]m< 8[/tex]
Step-by-step explanation:
According to the definition of absolute value:
[tex]f(x)[/tex] if [tex]f(x) \geq 0[/tex]
[tex]-f(x)[/tex] if [tex]f(x) <0[/tex]
If [tex]m < 8[/tex], then:
[tex]y_{max} = 7\cdot (8) - 56[/tex]
[tex]y_{max} = 0[/tex]
[tex]y[/tex] becomes negative as [tex]m[/tex] diverges to [tex]-\infty[/tex].
Then, the absolute value can be rewritten as follows:
[tex]|7\cdot m - 56| = -(7\cdot m -56)[/tex] if [tex]m <8[/tex]
[tex]|7\cdot m -56| = -7\cdot m + 56[/tex] if [tex]m< 8[/tex]