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1.3 for #2
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Related Questions
Can I get an awnser to both of these questions? Thank you!
Answers
Answer:
y+1=7(x+4) for first one
y-4=5(x-0) for second one
Step-by-step explanation:
point slope form for both of those questions.
the formula for point slope form is
y-y1(y coordinate) = slope(x+x2(x coordinate))
y+1=7(x+4)
Second question:
-1,-1 to 0,4
change in x +1, change in y +5.
5/1 = 5
slope is 5
y-4=5(x-0)
No step by step answers or links
Answers
Answer:
1. k = 15
2. d = 20
3. n = 3
CAN SOMEONE PLEASE ANSWER THISS ASAP PLEASE
f(n) = 10(1.02)n
Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)
Part C: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent? (4 points)
Answers
Answer:
Step-by-step explanation:
11.04 = 10(1.02)^n
1.104 = 1.02^n
ln 1.104 = ln 1.02^n
ln 1.104 = n ln 1.02
n = ln 1.104/ ln 1.02
n = 4.99630409516
4.99 can be rounded to 5.
So a reasonable domain would be 0 ≤ x < 5
PART B)
f(0) = 10(1.02)^0
f(0) = 10(1)
f(0) = 10
The y-intercept represents the height of the plant when they began the experiment.
f(1) = 10(1.02)^1
f(1) = 10(1.02)
f(1) = 10.2
(1, 10.2)
f(5) = 10(1.02)^5
f(5) = 10(1.1040808)
f(5) = 11.040808
f(1)=10(1.02)^1
f(1)=10.2
Average rate= (fn2-fn1)/(n2-n1)
=11.04-10.2/(5-1)
=0.22
the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.
Kyle works at a donut factory, where a 10-oz cup of coffee costs 95¢, a 14-oz cup costs $1.15, and a 20-oz cup costs $1.50. During one busy period, Kyle served 14 cups of coffee, using 204 ounces of coffee, while collecting a total of $16.70. How many cups of each size did Kyle fill?
Kyle filled ___ 10-oz cup(s), ___ 14-oz cup(s), and ___ 20-oz cup(s).
Answers
Answer:
Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.
Step-by-step explanation:
Let 10-oz, 14-oz, and 20-oz coffees be represented by the variables a, b, and c, respectively.
Since a total of 14 cups of coffee was served:
[tex]a+b+c=14[/tex]
A total of 204 ounces of coffee was served. Therefore:
[tex]10a+14b+20c=204[/tex]
A total of $16.70 was collected. Hence:
[tex]0.95a+1.15b+1.5c=16.7[/tex]
This yields a triple system of equations. In order to solve a triple system, we should isolate the system to only two variables first.
From the first equation, let's subtract a and b from both sides:
[tex]c=14-a-b[/tex]
Substitute this into both the second and third equations:
[tex]10a+14b+20(14-a-b)=204[/tex]
And:
[tex]0.95a+1.15b+1.5(14-a-b)=16.7[/tex]
In this way, we've successfully created a system of two equations, which can be more easily solved. Distribute:
For the Second Equation:
[tex]\displaystyle \begin{aligned} 10a+14b+280-20a-20b&=204\\ -10a-6b&=-76\\5a+3b&=38\end{aligned}[/tex]
And for the Third:
[tex]\displaystyle \begin{aligned} 0.95a+1.15b+21-1.5a-1.5b&=16.7\\ -0.55a-0.35b&=-4.3\end{aligned}[/tex]
We can solve this using substitution. From the second equation, isolate a:
[tex]\displaystyle a=\frac{1}{5}(38-3b)=7.6-0.6b[/tex]
Substitute into the third:
[tex]-0.55(7.6-0.6b)-0.35b=-4.3[/tex]
Distribute and simplify:
[tex]-4.18+0.33b-0.35b=-4.3[/tex]
Therefore:
[tex]-0.02b=-0.12\Rightarrow b=6[/tex]
Using the equation for a:
[tex]a=7.6-0.6(6)=4[/tex]
And using the equation for c:
[tex]c=14-(4)-(6)=14-10=4[/tex]
Therefore, Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.
(x) 3 5 7
(y) 7 11 15
Find x, when y = 21
Answers
Answer:
x = 10
Step-by-step explanation:
y = 2x + 1
21 = 2x + 1
21 - 1 = 2x
2x = 20
x = 10
Please help
A. B.C. D
Answers
Please help ASAP ASAP
Answers
Step-by-step explanation:
[tex] \sqrt{53} [/tex]
a housewife spent 3/7 of her money to buy yams and 1/2 of the remainder to buy rice what is the fraction of her money left
Answers
Answer:
Fraction of money spent on calculator = 2/5
Find the fraction of money left:
1 - 2/5 = 3/5
Find the fraction of money spent on a book:
4/7 x 3/5 = 12/35
Answer: She spent 12/35 of the money on a book
------------------------------------------------------------------------------------------------
To find the fraction of saving:
Fraction of money saved = 1 - calculator - book
Fraction of money saved = 1 - 2/5 - 12/35 = 9/35
Fraction of the money saved = 9/35
Step-by-step explanation:
In triangle ABC, the measure of angle B is 22° more than three times the measure of angle A. The measure of angle C is 53° more than the measure of angle A. Find the measure of each angle.
Answers
Answer:
105
Step-by-step explanation:
53+22=75, 180-75=105
What is the area of a triangle in square units with the points (-3,-4), (8,-4), (-1,4)
Answers
Step-by-step explanation:
base = 11
height = 8
so are is 11 x 8 /2
= 44
A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find tanB, sin B, and cos B. (WORK INCLUDED GIVING BRAINLEST TO BEST ANSWER)
Answers
9514 1404 393
Answer:
tan(B) = 12/5sin(B) = 12/13cos(B) = 5/13Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships.
Sin = Opposite/Hypotenuse ⇒ sin(B) = 12/13
Cos = Adjacent/Hypotenuse ⇒ cos(B) = 5/13
Tan = Opposite/Adjacent ⇒ tan(B) = 12/5
Find HG and HI. Pleaseeee help :/
Answers
Root 3 = 11/HG
HG = 11/root 3
HG = 6.3cm
Sin 60 = 11/ HI
Root 3 / 2 = 11/HI
Root 3 x HI = 11 x 2
HI = 22/root 3
HI = 12.7cm
Regards,
ArmyCee:)
Farmer Jane would like to show a net profit of $1,000 per month. She is growing tomatoes and sells them for $3 per pound. Her variable costs per pound are $1, and she has $700 in fixed cost. How many pounds does she need to sell?
Answers
Answer:
850
Step-by-step explanation:
Each pound of tomatoes costs one dollar to produce, and sells for three dollars. That's a net profit of 2 dollars per pound of tomatoes.
We need a profit of 1000 dollars, and to pay the 700 dollars in operating costs, for a total of 1700 dollars needed.
So 1700 dollars divided by 2 dollars per pound of tomatoes comes out to 850 pounds of tomatoes.
giving brainliest please answer
(answer D is) Marco's, George, Andy, Rubens
A
B
C
D
?
Answers
What are the coordinates of the point that is 3/8 of the way from A(-8, -9) to B (24, -1)
(-6,4)
(-2,4)
(4,-6)
(12,-4)
Answers
Answer:
C. (4, -6)
Hope it helps :)
Tell whether the shape appears to have zero lines, 1 line, or more than 1 line of symmetry. Select zero, 1, or more than 1. There is/are ? line(s) of symmetry.
Answers
Answer:
This Symbol has 4 lines of Symmetry
х
f(x)
What is the initial value of the exponential function
represented by the table?
-2
1
8
e
8
-1
1
4
0
1
2
1
1
1
2
2
2
Answers
Answer:
the answer will be table -1
Step-by-step explanation:
A rectangular room is 1.2 1.2 times as long as it is wide, and its perimeter is 35 35 meters. Find the dimension of the room.
Answers
Answer:
I. Length, L = 9.552 meters
II. Width, W = 7.96 meters
Step-by-step explanation:
Let the length = L
Let the width = W
Given the following data;
Perimeter = 35 m
Translating the word problem into an algebraic equation, we have;
Length = 1.2W
To find the dimension of the room;
The perimeter of a rectangle is given by the formula;
P = 2(L + W)
Substituting into the formula, we have;
35 = 2(1.2W + W)
35 = 2(2.2W)
35 = 4.4W
Width, W = 7.96 meters
Next, we would find the length of the rectangle;
L = 1.2*W
L = 1.2 * 7.96
Length, L = 9.552 meters
I. Read each question carefully, then write the letter of the correct answer.
1. What is the relationship of the volume between a prism and a pyramid of the same dimensions?
A. the volume of the pyramid is 2/3 of the volume of the prism
B. the volume of the pyramid is 3/3 of the volume of the prism
C. the volume of the pyramid is 1/3 of the volume of the prism
D. the volume of the pyramid is 3/2 of the volume of the prism
2. The volume of a cone is the volume of a cylinder if both are of the same dimensions.
A. double B. thrice
C. twice
D. 4 times
3. How many cones can fill the whole sphere with the same dimension?
A. 1
B. 2
C.3
D.4
4. If the volume of a cylinder is 120 m3, what will be the volume of a cone with the same dimension?
A.180m3
B. 60 m3
C. 40 m3
D. 30 m3
5. What is the length of the edge of a cube if it has a volume of 27 cubic inches?
A. 9 in
B. 6 in
C. 3 in
D. 2 in
Answers
Answer:
The answer for number 1 is C
At 3:15 p.m., Sten began packing snacks to take to the park.
He spent 20 minutes packing snacks for his friends.
He spent 5 minutes loading the snacks into his backpack.
Using the number line, how many minutes does he now have until he leaves for the park at 4:00 p.m.?
Answers
Answer:
20 minutes
Step-by-step explanation:
20 minutes after 3:15 is 3:35, then 5 more minutes is 3:40. Therefore Sten has 20 minutes left until 4pm.
A bag contains 10 red marbles, 8
blue marbles and 2 yellow
marbles. What is the probability of
getting a blue marble?
Answers
Planes A and B intersect.
Which describes the intersection of line m and line n?
P
m
2
O point w
O point X
Opoint Y
point Z
.
n2
X
Y
W
k
.
V
2
-
Answers
Answer:
I think about point Y ......
If planes A and B intersect, point w describes the intersection of line m and line n.
What is Coordinate system?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements.
In the given figure, the planes A and B intersected.
We have to find the point where the line l and line m intersects.
The intersection of a line and a line can be the empty set, a point, or another line.
Two straight lines will intersect at a point if they are not parallel.
The point of intersection is the meeting point of two straight lines.
The lines m and line n are intersected at the point w.
Hence, if planes A and B intersect, point w describes the intersection of line m and line n.
To learn more on Coordinate system click:
https://brainly.com/question/29762404
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Here is some record keeping from a coffee shop about their paper cups. Cups are delivered 2,000 at a time. day change Monday +2000 Tuesday -125 Wednesday -127 Thursday +1719 Friday -356 Saturday -782 Sunday 0 1. Explain what a positive and negative number means in this situation. PLEASE HELP ME
Answers
Answer: the numbers with the plus sign are positive and the ones with the negative sign are negative
Step-by-step explanation:
Belief in UFOs A survey found that of people believe that they have seen a UFO. Choose a sample of people at random. Find the probability of the following. (a) At least 3 people believe that they have seen a UFO.(b) 2 or 3 people believe that they have seen a UFO.
Answers
Answer:
b is the answer am not sure you know
Answer:
a) 3/10
b)3/10
Step-by-step explanation:
let the sample of people be 10
so,
a) total outcome=10
favourable outcome=3
P(seeing a UFO)= 3/10
b) total outcome=10
favourable outcome=2 or 3
P(seeing a UFO)= 2/10+3/10-(2/10
5/10-2/10
=3/10
Write the indicated event in set notation.When four coins are tossed, the first three tosses come up the same.[Hint: when four coins are tossed, the following 16 outcomes are possible:HHHH HHHT HHTH HHTTHTHH HTHT HTTH HTTTTHHH THHT THTH THTTTTHH TTHT TTTH TTTT ]a. (HHH, TTT) b. (HHHT, TTTH) c. (HHHT, TTTH, HTTT, THHH) d. (HHHH, HHHT, TTTH, TTTT)
Answers
Answer:
[tex]Outcomes = \{HHHH, HHHT,TTTH, TTTT\}[/tex]
Step-by-step explanation:
Given
[tex]S = \{HHHH, HHHT, HHTH, HHTT,HTHH, HTHT, HTTH, HTTT, THHH, THHT,[/tex]
[tex]THTH, THTT,TTHH, TTHT, TTTH, TTTT\}[/tex]
Required
The outcomes where the first three tosses are the same
To do this, we list out the outcomes that the first three are HHH or TTT.
So, we have:
[tex]Outcomes = \{HHHH, HHHT,TTTH, TTTT\}[/tex]
If 5(y-2) - 3(y + 4) = 0, then y
IS
A. -1
B. 3
C. 7
D. 11
Answers
Answer:
Y is -1.
Step-by-step explanation:
If you substitute the values, you find that that's the correct answer.
In a survey of 1000 people, 700 people said that they voted in the last presidential election. Let p denote the proportion of all people who voted. Find a point estimate for p and also construct a 90% confidence interval for p.
a) 0.700, (0.676, 0.724)
b) 700, (0.676,0.724)
c) 700, (0.642,0.767)
d) 0.700, (0.642,0.767)
e) 0.300, (0.276, 0.324)
Answers
Answer: a) a) 0.700, (0.676, 0.724)
Step-by-step explanation:
Confidence interval for population proportion p :
[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
[tex]\hat{p}[/tex] = Sample proportion, n= sample size, z* = Critical value.
Let p denote the proportion of all people who voted.
As per given, n= 1000
[tex]\hat{p}=\dfrac{700}{1000}\\\\=0.7[/tex]
z* for 90% confidence = 1.645
Required confidence interval :
[tex]0.7\pm (1.645)\sqrt{\dfrac{0.7(1-0.7)}{1000}}\\\\=0.7\pm(1.645)\sqrt{0.00021}\\\\=0.7\pm (1.645)(0.0145)\\\\=0.7\pm 0.0238525\\\\=(0.7-0.0238525,0.7+0.0238525)\\\\=(0.6761475,\ 0.7238525)\approx(0.676, 0.724)[/tex]
hence, the correct option is a) a) 0.700, (0.676, 0.724)
Hi if you have a 65% grade can a 80% bring it up to a C 70%
Answers
Answer:
Not a 70%, but a 72.5% (or a 73%)
Step-by-step explanation:
Assuming that the 65% is the first grade and the 80% is your second, adding both numbers and dividing by 2 will get you 72.5%.
The best possible grade you can get from that 65% is an 82.5%, or 83% if you round the grade up. 100+65=165÷2 will get you 82.5.
Can :) mean happily taken on a bio? Alex got it on his?
Answer ASAPPPP
Someone
Answers
Answer:
Yes,
Step-by-step explanation:
When " :) " is used in a bio it means the person is happy
In order for the data in the table to represent a linear
function with a rate of change of +5, what must be the
value of a?
Answers
Answer:
Step-by-step explanation:
Answer: C) a=18
Step-by-step explanation: Hope i helped :)
