The equation in point slope form is y - 21 = 7(x - 3).
What is point - slope form of the line?
A line's equation in point slope form is y - y1 = m. (x – x1). As a result,
y = mx and y - 0 = m(x - 0) are the equations for a line passing through the origin with a slope of m.
To find the equation in point slope form for the given table of height of a plant first we have to find the slope.
Here
Slope = change in height / Change in time
From given table,
Change in height = 14 and Change in time = 2
⇒ Slope = 14 / 2 = 7
Now to find the point slope form.
We know that the equation in point slope form for point \((x_1, y_1)\) and slope m is written as,
\(y-y_1=m(x-x_1)\)
Plug \((x_1, y_1) = (3, 21), m = 7\)
So, the equation becomes
\(y-21 = 7(x-3)\)
Hence, the equation in point slope form is y - 21 = 7(x - 3).
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I dont understand this question please may someone help me thanks.
(1) the axis should start with 0 not 2.
(2) the width for the Munich is wider than other width which should not be so.
(3 ) their is no title.
Answer: BELOW .
Step-by-step explanation:
1) No title
2) The width for the Munich is wider than other width .
3 ) The axis should start with 0 not 2 .
A person starts in Boulder, drives to Denver (50 km away) in 1 hour, stays in Denver 1 hour, then speeds back to Boulder in 30 minutes. What is the average speed of the round trip\
The person may have driven at different speeds during different parts of the trip (such as 50 km/hour on the way to Denver and 100 km/hour on the way back), the average speed over the entire trip is 40 km/hour.
The average speed for a round trip is calculated by dividing the total distance travelled by the total time taken.
In this case, the person travelled 50 km from Boulder to Denver and another 50 km back from Denver to Boulder, for a total of 100 km. The time taken for the round trip was 1 hour to drive from Boulder to Denver, 1 hour spent in Denver, and 0.5 hours to drive back from Denver to Boulder, for a total of 2.5 hours.
Using these values, we can calculate the average speed for the round trip as 40 km/hour. This means that on average, the person travelled at a speed of 40 kilometers per hour during the entire round trip. Although the person may have driven at different speeds during different parts of the trip (such as 50 km/hour on the way to Denver and 100 km/hour on the way back), the average speed over the entire trip is 40 km/hour.
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Miss Bailey went to the store and bought 8 packs of pencils and a binder that cost $12. He spent a total of $36. How much did each pencil pack cost?
Answer: miss bailey bought 8 for 3 dollars each
Step-by-step explanation:
so if a binder cost 12 subtract that form the $36 and you are left with $24. divided it by 8 and are left with 3
If the composite functions f(g(x)) and g(f(x)) both equal x, then the function g is the____function of f.
If the composite functions f(g(x)) and g(f(x)) both equal to x, then the function g is the Inverse function of f.
What is the inverse of a function?A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y.
Let us take the Example.
Suppose f(x)= x/4 and g(x)=4x.
Let x=1
then f(g(x))= f(g(1))=f(4)=1
and g(f(x))=g(f(1))=g(1/4)=1
Here, f(g(x))=g(f(x))=1
Therefore , we can say that f(g(x)) and g(f(x)) are inverse of each other.
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Sabrina is going to rent a bicycle while on vacation. There are two rental companies she can
choose from. The first company charges $10 plus a rate of $2 per hour until the bicycle is
returned. The second company's rental charges can be represented by the equation c = 3h + 6
where c represents the rental cost and h represents the number of hours the bicycle is rented.
Which company will charge less if Sabrina rents the bicycle for 5 hours? Why?
a.The first company is cheaper. They will charge $20 for 5 hours.
b.The second company is cheaper. They will charge $21 for 5 hours.
c. The first company is cheaper. They will charge $10 for 5 hours.
d. The second company is cheaper. They will charge $6 for 5 hours.
e. The first company is cheaper. They will charge $12 for 5 hours.
f.The second company is cheaper. They will charge $9 for 5 hours.
Answer:
9 billion 9 hundred 99 the answer is right there
what is 2y+z-3y please
Answer:
-1y + z
Step-by-step explanation:
2y + z - 3y [Given Expression]
-1y + z [Combine like-terms]
Answer:
-y + z
Step-by-step explanation:
2y + z −3y = 2y + z + −3y = ( 2y + −3y ) + ( z ) = −y + z
I hope this helps you :D
Which graph best represents the solution set to this system of inequalities?
x+y <1
x-y ≤2
The graph of the inequality (x + y >1), will be:
{(x^2+(y-1)^2-0.05)((x-1)^2+y^2-0.05)(x+y-1)=0 [-10, 10, -5, 5]} and we can shade right-side of the line.
As per the question statement, we are supposed to graph the inequality
x + y >1. So, first we solve for two points as an equation instead of an inequality to find the boundary line for the inequality.
For x = 0, y = 1 or (0,1)
For y = 0, x = 1 or (1,0)
So now we can graph the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality.
The boundary line would be solid because the inequality contains "or equal to" clause.
Graph: {(x^2+(y-1)^2-0.05)((x-1)^2+y^2-0.05)(x+y-1)=0 [-10, 10, -5, 5]}
We can shade right-side of the line.
Because the inequality operator lacks a "or equal to" phrase, the boundary line will be altered to a dashed line.
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100 POINTS AND BRAINLIEST!! PRE CALC
Given the sign x = 3/5, sin y = 7/25, and x and y are both acute angles, the value of tan (x - y) is
a. 39/32
b. 44/117
c. 44/7
d. 4/3
Please explain your answer :)
Answer:
B
Step-by-step explanation:
sinx = 3/5
to find the value of x...figure sine inverse(Arcsin) of 3/5 out.
sin^-1 ( 3/5) = 0.64.
siny = 7/25
sin^-1(7/25) = 0.28
x = 0.64
y = 0.28
tan(x-y)
=tan(0.64-0.28)
= tan (0.36)
= tan (9/25)
= 0.376.
now divide every fraction given from a - d to find the one equivalent to 0.376 because that's the value of tan(x-y).
B. 44 / 117 = 0.376.
Answer:
b
Step-by-step explanation:
sin x = \(\frac{opposite}{hypotenuse}\) = \(\frac{3}{5}\)
This is a 3- 4- 5 right triangle
with adjacent side = 4 , then
cos x = \(\frac{adjacent}{hypotenuse}\) = \(\frac{4}{5}\) , thus
tan x = \(\frac{sinx}{cosx}\) = \(\frac{\frac{3}{5} }{\frac{4}{5} }\) = \(\frac{3}{5}\) × \(\frac{5}{4}\) = \(\frac{3}{4}\)
---------------------------------------------------
sin y = \(\frac{7}{25}\)
This is a 7- 24- 25 right triangle
with adjacent side = 24 , then
cos y = \(\frac{adjacent}{hypotenuse}\) = \(\frac{24}{25}\) , thus
tan y = \(\frac{siny}{cosy}\) = \(\frac{\frac{7}{25} }{\frac{24}{25} }\) = \(\frac{7}{25}\) × \(\frac{25}{24}\) = \(\frac{7}{24}\)
----------------------------------------------------
tan(x - y) = \(\frac{tanx-tany}{1+tanxtany}\)
= \(\frac{\frac{3}{4}-\frac{7}{24} }{1+\frac{3}{4}(\frac{7}{24}) }\)
= \(\frac{\frac{11}{24} }{1+\frac{21}{96} }\)
= \(\frac{\frac{11}{24} }{\frac{117}{96} }\)
= \(\frac{11}{24}\) × \(\frac{96}{117}\)
= \(\frac{11}{1}\) × \(\frac{4}{117}\)
= \(\frac{44}{117}\) → b
what is 11x11 ????????????????????
Answer:
121
Step-by-step explanation:
11 x 11
this is what goes on in my head you don't have to this but this is what i do
10 x 10 = 100
10 x 1 = 10
1 x 10 = 10
1 x 1 = 1
100 + 10 + 10 + 1 = 121
The product of the numbers 11 with 11 is 121.
Given are the numbers 11 and 11.
We have to find the product of these numbers.
This can be found in various ways.
We can study the perfect squares from 1 to 20 to know it fast.
Else you can use normal multiplication.
Or another method is,
Split both 11 as 10 and 1 and then find the product with each.
10 × 10 = 100
Then find 10 with 1.
10 × 1 = 10
Then find 1 with 10.
1 × 10 = 10
Then find 1 with 1.
1 × 1 = 1
Total is 100 + 10 + 10 + 1 = 121
Hence the number is 121.
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Compare the function ƒ(x) = 3x − 1 2 to the function shown in the graph. Which statements are correct?
Answer: 3(x−4)
Step-by-step explanation: Hope this help :D
Answer:
On usatestprep the answer for f(x)=3x-(1/2) is...B,D, and E.
Step-by-step explanation:
from a 24 inch b 6 inch piece of carbardm, square corners are cu our so the sides foldup to dorm a box withour a to
The dimensions of the box can be represented as (6-2x) inches by (24-2x) inches by "x" inches.
From a 24-inch by 6-inch piece of cardboard, square corners are cut so the sides can fold up to form a box without a top. To determine the dimensions and construct the box, we need to consider the shape of the cardboard and the requirements for folding and creating the box.
The initial piece of cardboard is a rectangle measuring 24 inches by 6 inches. To form the box without a top, we need to remove squares from each corner.
Let's assume the side length of the square cutouts is "x" inches. After cutting out squares from each corner, the remaining cardboard will have dimensions (24-2x) inches by (6-2x) inches.
To create a box, the remaining cardboard should fold up along the edges. The length of the box will be the width of the remaining cardboard, which is (6-2x) inches.
The width of the box will be the length of the remaining cardboard, which is (24-2x) inches. The height of the box will be the size of the square cutouts, which is "x" inches.
Therefore, the dimensions of the box can be represented as (6-2x) inches by (24-2x) inches by "x" inches. To construct the box, the remaining cardboard should be folded along the edges, and the sides should be secured together.
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For any correlation, people often assume that change in one quantity causes change in the second quantity. This is not always true. For each situation, do you think that change in the first quantity causes change in the second quantity? What else may have affected the change in the second quantity?
number of miles driven and fuel expenses
For the given situation, we can clearly say that the change in one quantity will also cause a change in the second quantity.
Correlation is a relationship between the values of two variables. A scatter plot is a useful tool for displaying data about two variables as a series of points in the x and y plane and determining whether there is a correlation between the variables.
Causality means that one event causes another. Well-designed experiments can only determine causality. In such experiments, similar groups receive different treatments, and the results of each group are examined.
The collected data on the number of miles driven and fuel expenses. we found that number of miles driven tended to be lower when fuel expenses were high, and the number of miles driven tended to be higher when fuel expenses sales were high.
We do not conclude that more fuel expenses mean fewer miles driven. Likely, an Increased in fuel expenses and the number of miles driven may be caused by a third factor, car mileage. So, the present case is a case of negative correlation.
Negative correlation: y decreases as x increases.
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what is the value of 4x 2 +7x−10 if x=4 pleaseeee help lol
Joanne had $126 in her account. She paid $96 for her phone bill and $75 for her electric bill.
How much was in her account after paying her bills?
Answer:
she got em in the negatives it -45
cause adding 96 and 75 then subtract the answer to 126
A) Find a formula for Rn for the function f(x)=(2x)^2 on [−1,5][−1,5] in terms of n.B) Compute the area under the graph as a limit.
a. Rn = (6 / n) * [4(1 - 1/n)² + 4(1 + 1/n)² + ... + 4(5 - 3/n)²]
b. The exact area under the graph is 168.
What is function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
A) To find a formula for Rn, we can use the midpoint rule. The midpoint rule approximates the area under a curve by dividing the interval into n equal subintervals and taking the height of the rectangle as the value of the function at the midpoint of each subinterval.
Let's calculate Rn for the function f(x) = (2x)² on the interval [−1, 5] using n subintervals.
The width of each subinterval is given by:
Δx = (b - a) / n = (5 - (-1)) / n = 6 / n
The midpoint of each subinterval is given by:
xi = a + (i - 1/2)Δx
Using these values, we can calculate Rn:
Rn = Δx * [f(x1) + f(x2) + ... + f(xn)]
= (6 / n) * [(2(-1 + 1/2 * (6/n))²) + (2(-1 + 3/2 * (6/n))²) + ... + (2(5 - 1/2 * (6/n))²)]
Simplifying further:
Rn = (6 / n) * [4(1 - 1/n)² + 4(1 + 1/n)² + ... + 4(5 - 3/n)²]
B) To compute the area under the graph as a limit, we take the limit of Rn as n approaches infinity. This is equivalent to integrating the function over the interval [−1, 5].
To find the exact area under the graph of f(x) = (2x)² on [−1, 5], we integrate the function:
∫[−1, 5] (2x)² dx
Evaluating the integral:
∫[−1, 5] (2x)² dx = ∫[−1, 5] 4x² dx = [4/3 * x] from -1 to 5
= (4/3 * 5³) - (4/3 * (-1)^3)
= (4/3 * 125) - (4/3 * (-1))
= (500/3) + (4/3)
= 504/3
= 168
Therefore, the exact area under the graph is 168.
As n approaches infinity, the value of Rn will approach the exact area of 168.
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True or false two points that map together never coincide
5x-2=3(x+4)
What is the value of X
Answer:
\(\large\boxed{\textsf{x = 7}}\)
Step-by-step explanation:
\(\textsf{For this problem, we are asked to find the value of x.}\)
\(\textsf{We should simply isolate the x so that it's only on one side.}\)
\(\large\underline{\textsf{How?}}\)
\(\textsf{Simply use the Distributive Property for the right side of the equation.}\)
\(\textsf{Simplify the equation to where x is by itself.}\)
\(\large\underline{\textsf{What is the Distributive Property?}}\)
\(\textsf{The Distributive Property is a Property that allow us to distribute expressions further.}\)
\(\textsf{Commonly, the form is a(b+c); Where b and c are multiplied by a.}\)
\(\large\underline{\textsf{Use the Distributive Property;}}\)
\(\mathtt{5x-2=3(x+4)}\)
\(\mathtt{5x-2=(3 \times x)+(3 \times 4)}\)
\(\mathtt{5x-2=3x+12}\)
\(\large\underline{\textsf{Add 2 to Both Sides of the Equation;}}\)
\(\mathtt{5x-2 \ \underline{+ \ 2}=3x+12 \ \underline{+ \ 2}}\)
\(\mathtt{5x=3x+14}\)
\(\large\underline{\textsf{Subtract 3x from Both Sides of the Equation;}}\)
\(\mathtt{5x-3x=3x-3x+14}\)
\(\mathtt{2x=14}\)
\(\large\underline{\textsf{Divide the Whole Equation by 2;}}\)
\(\mathtt{\frac{2x}{2} = \frac{14}{2} }\)
\(\large\boxed{\textsf{x = 7}}\)
Answer:
\( \sf \: x = 7\)
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ 5x - 2 = 3(x + 4)
Then the value of x will be,
→ 5x - 2 = 3(x + 4)
→ 5x - 2 = 3(x) + 3(4)
→ 5x - 2 = 3x + 12
→ 5x - 3x = 12 + 2
→ 2x = 14
→ x = 14 ÷ 2
→ [ x = 7 ]
Hence, the value of x is 7.
sin^2 90 is equal to what?
Answer:
1 is the correct answer
Step-by-step explanation:
sin²901²1Answer:
explain below
Step-by-step explanation:
sin² 90° and sin² (90) has different meaning
The former based on " degree" while the later based on "radians' argument
sin² 90° = 1
sin² (90) = 0.799
is 8ft ,11.5ft, 11.5ft a right triangle
Answer: No
Step-by-step explanation:
Hi there,
No, that is not a right triangle. A triangle with those side lengths would create an isosceles triangle with the angles 69.6 degrees, 69.6 degrees, and 40.7. Because there is no 90 degree angle, it is not a right triangle.
I hope this helps.
given the equations: A. 7(x+2)+3(x+5)=14(x+3)-6(x+2) B. -5(x+3)+7(x+2)=4(x-3)-2(x+5) C. 3(x-5)+2x=4(x-4)+x+1 what is the order of the equatshons from to most solutions?
Step-by-step explanation:
Your search - given the equations: A. 7(x+2)+3(x+5)=14(x+3)-6(x+2) B. -5(x+3)+7(x+2)=4(x-3)-2(x+5) C. 3 ... - did not match any documents.
Suggestions:
Make sure that all words are spelled correctly.
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Which of the following is/are the solution of the equation 2x+y=10?This question has multiple correct optionsAx=9 and y=3 is one of the solution of given equation.Bx=2 and y=6 is one of the solution of given equation.Cx=3 and y=4 is one of the solution of given equation.Dx=7 and y=2 is one of the solution of given equation.
Answer:
Correct options are B) and C)
Step-by-step explanation:
The given equation is 2x+y=10.
Clearly, x=3 and y=4 satisfy this equation.
Therefore , x=3 and y=4 is one of the solution of given equation.
what is the slope of the line?
Answer:
the slope is 3/2
Please answer the question and leave an explanation on how to solve each part. Thank you in advance
The solution that we have here is a combination question not a permutation.
How to solve for the combination2.You can order pizza with: 1, 2, 3, 4 toppings for $10.
The ways to do the ordering are
18C1 = 18 ways18c2= 18!/(18-2)!2! = 153 ways of ordering18c3 = 18!/(18-3)!3! = 816 ways of ordering18C4 = 18!/(18-4)!4! = 3060 ways of orderingIn total there would be 3060+816+153+18=4047 ways of ordering for the pizza.
3. Given 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 and there are no restrictions, we would have
2¹⁸ ways of ordering = 262144 ways
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The letters that spell MISSISSIPPI are each written on separate tiles lying facedown on a table. A tile
is selected at random, the letter is recorded, and then the tile is placed facedown on the table. Then
the process repeats.
What is the theoretical probability of choosing a tile with the letter P?
0 11
01/11
Answer: 2/11
Step-by-step explanation: there are 11 letters and 2 of them are p so the chances of getting p is 2/11
Answer:
2/11
Step-by-step explanation:
The total amount of tiles is 11. There are only 2 tiles that have the letter P on them.
Theoretical probability is the probability that should occur over many, many trials.
Theoretical probability = favorable outcomes / total outcomes.
In this scenario, the favorable outcome is the letter P. which there are two of. The total outcomes would be all the letters that make up the word MISSISSIPPI, or 11.
So your theoretical probability would be 2/11.
Write an equation of the line that contains
point (3,-1) and is parallel to the equation
y+3x=2.
Charlie's teacher claims that he does not study and just guesses on exams. on an exam with 201 true-false questions, Charlie answered 53.7% of the questions correctly. Calculations using these results show that if he were really just guessing, there would be roughly one chance and seven that he would do this well. Is there a statistically significant evidence against the teachers claim that Charlie is just guessing? Why or why not?
Answer:
Step-by-step explanation:
True-False questions consists of 2 possible answer, which are 50% each, so basically is Charlie was just guessing 201 questions, which means his possibility of getting everything correct is \(\frac{1}{2^2^0^1}\), which is really small, his chance of getting 53,7% correct is \(\frac{1}{2^2^0^1 * 0.537}\) which is roughly arround \(\frac{1}{2^2^0^0}\)
What is the following sum?
If these equation.
\(4\left(\sqrt[5]{x^2 y} \right) +3 \left( \sqrt[5]{x^2 y} \right)\\\\=(4+3) \left( \sqrt[5]{x^2 y} \right)\\\\=7 \left( \sqrt[5]{x^2 y} \right)\)
\(7(\sqrt[ 5 ]{ { x }^{ 2 } y })\)
Step-by-step explanation:The equation:
\(4 \sqrt[ 5 ]{ { x }^{ 2 } y } +3 \sqrt[ 5 ]{ { x }^{ 2 } y } \)
1) Collect like terms by adding their coefficients ( \(3\) and \(4\))
\((3+4)\sqrt[ 5 ]{ { x }^{ 2 } y }\)
2) Calculate
\(7(\sqrt[ 5 ]{ { x }^{ 2 } y })\)
How many cubic meters of milk are in 7.82 qt (1 qt = 946.4 mL)?
Enter your answer in scientific notation.
There are 7.40 x 10^-3 cubic meters of milk in 7.82 quarts. To convert quarts to cubic meters, we first need to convert quarts to milliliters. There are 946.4 milliliters in one quart. So, 7.82 quarts is equal to 7453.68 milliliters.
To convert milliliters to cubic meters, we divide by 1000000. This is because there are 1000000 cubic millimeters in one cubic meter. So, 7453.68 milliliters is equal to 0.00745368 cubic meters.
Therefore, there are 7.40 x 10^-3 cubic meters of milk in 7.82 quarts.
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R(x)=-3tan(1/2x)
What kind of reflection is this?
What is the vertical stretch factor?
What is the horizontal stretch factor?
What is the period?
On October 1, Gary’s bank balance was $130. During October, he made two
withdrawals and one deposit. At the end of the month, his bank balance was
$95. List two withdrawals and one deposit that would give this final balance.
Answer:
The first withdraw could be $30 the second could be $45 and the deposit could be $40
Step-by-step explanation:
130-30=100 100-45=55 95-55=40
130-30-45+40=95