The two points on the y axis that are 25 units from (-24,3) will be (0, 10) and (0, - 4).
We are given a point:
( - 24 , 3 )
We need to find a point on the y - axis, that is 25 units away from the axis.
The coordinate of the point will be:
(0, y)
So, by using the distance formula, we get that:
D = √ ( y₂ - y₁)² + ( x₂ - x₁)²
25 = √ ( y + 3)² + (0 + 24)²
625 = y² + 9 - 6 y + 576
625 = y² - 6 y + 585
y² - 6 y - 40 = 0
y² - 10 y + 4 y - 40 = 0
y ( y - 10 ) + 4 ( y - 10 ) = 0
(y - 10)(y + 4) = 0
y = - 4 or y = 10.
So, the two points will be:
(0, 10) and (0, - 4)
Therefore, we get that, the two points on the y axis that are 25 units from (-24,3) will be (0, 10) and (0, - 4).
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G = {(1, 1), (1, 2), (1, 3), (1, 4)} Is G a function and why?
Answer:
\(G\) is not function. The reason is that it is not one-to-one.
Step-by-step explanation:
A function is a mapping that is also one-to-one.
\(G\) is indeed a mapping; it takes an input and relates it to one or more outputs.
Input: \(1\), output: Input: \(1\), output: \(2\).Input: \(1\), output: \(3\).Input: \(1\), output: \(4\).A mapping is one-to-one if and only if each input is mapped to only one output. \(G\) is not one-to-one because it maps the input \(1\) to four different outputs. Hence, \(G\) isn't a function.
fill in the missing number: 0,1,1,2,3,5,8,13,-,34,55
The missing number of the series is 21.
The given sequence appears to follow the pattern of the Fibonacci sequence, where each number is the sum of the two preceding numbers. The Fibonacci sequence starts with 0 and 1, and each subsequent number is obtained by adding the two previous numbers.
Using this pattern, we can determine the missing number in the sequence.
0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55
Looking at the pattern, we can see that the missing number is obtained by adding 8 and 13, which gives us 21.
Therefore, the completed sequence is:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.
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The missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55 is 21.
To find the missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55, we can observe that each number is the sum of the two preceding numbers. This pattern is known as the Fibonacci sequence.
The Fibonacci sequence starts with 0 and 1. To generate the next number, we add the two preceding numbers: 0 + 1 = 1. Continuing this pattern, we get:
011235813213455Therefore, the missing number in the sequence is 21.
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Find the equation of the line. You will get brainliest answer if you do.
Answer:
The equation of this line y=1
Step-by-step explanation:
Answer:
Y=1 since it only lines up with 1
Step-by-step explanation:
3 to 4 and 24 to 18 a porportion
Answer: No
Step-by-step explanation:
(1 point)
The two box plots summarize the number of hours spent in the weight room for all the players on the football team
for two different high schools. Which of the statements must be true about the distribution of data represented in the
boxplots?
school 1
school 2
2
18
4 6 8 10 12 14 16
hours in the weight room
Oь
OC
Players at school 1 typically spent more time in the weight room than players at school 2.
The middle half of the data for school 1 has more variability than the middle half of the data for school 2.
The median hours spent in the weight room for school 1 is less than the median for school 2 and the interquartile ranges for both
schools are equal.
The total number of hours spent in the weight room for players at school 2 is greater than the total number of hours for players
at school 1.
Od
Question 21 point)
*the box plots are shown in the attachment below.
Answer:
The median hours spent in the weight room for school 1 is less than the median for school 2 and the interquartile ranges for both.
Step-by-step explanation:
Median on a box plot is depicted by the vertical line that divides the rectangular box into 2.
The median hours for school 1 = 8
The median hours for school = 9
Interquartile range on a box plot is the range of the rectangular box.
Interquartile range for school 1 = 10 - 4 = 6
Interquartile range for school 2 = 12 - 6 = 6
Therefore, it is true that the median hours spent by school 1 (8 hrs) is less than the median hours spent by school 2 (9 hours).
It is also true that the jnterquartile range for school 1 and school tok are also equal (6).
yo i need help whit how i got the answer plz help me
Answer:
The answer is B.
Step-by-step explanation:
Let us first set up an equation.
(3x - 7) + (2x + 3) = 90
5x - 4 = 90
5x = 94
x = 18.8
Hope this helps!
Please mark as brainliest.
Answer:
D m<A = 49.4 deg
Step-by-step explanation:
Since the lines are perpendicular, the sum of the measures of angles A and B is 90 deg.
m<A + m<B = 90
3x - 7 + 2x + 3 = 90
5x - 4 = 90
5x = 94
x = 18.8
m<A = 3x - 7 = 3(18.8) - 7 = 56.4 - 7 = 49.4
Answer: D m<A = 49.4 deg
Evaluate p2m−(np+r) if m=−32 , n=2 , p=−8 , and r=4 .
The value of the given expression will be equal to 2060.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using the signs like addition,substraction, multiplication and division.
It is given that:-
=p²(m)-(np+r)
=(-8)²(32)-(2x(-8)+4)
=(64x32)-(-16+4)
=2060
Hence value of the given expression will be equal to 2060.
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List the first three common multiples of 4 and 5.
Answer:
20, 40, and 60.
Step-by-step explanation:
Definition: A common multiple of two or more numbers is a number that can be divisible by each of those numbers.
Example: 10 is a common multiple of 2 and 5, because 10 can both be divisible by 2 and 5.
Question: Common Multiples of 4 and 5.
20 can be divisible by 4, and 5.
40 can be divisible by 4, and 5.
60 can be divisible by 4, and 5.
Please help me with this one please, I've been having trouble figuring this one out.
Answer:
y = - 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (2, - 3)
m = \(\frac{-3-5}{2+2}\) = \(\frac{-8}{4}\) = - 2
The line crosses the y- axis at (0, - 1) ⇒ c = - 1
y = - 2x - 1 ← equation of line
you started the trail with 500 lbs now you have 282 lbs of food. What is the percent of food left?
Answer:
under 50%
Step-by-step explanation:
i forgot how to get the excat percentage sorry :(
Answer:
56.4
Step-by-step explanation:
how to simplify y14/y10
Answer:
Divide them by the same number
Step-by-step explanation:
14/2=7
10/2= 5
y7/y5
The pie chart represents the proportions of how Henry spent the £720 he took on holiday.
What fraction of his money did he spend on drink?
Give your answer in its simplest form.
Answer:
£114
Step-by-step explanation:
Rate brainliest please
\( \frac{57}{360} \times 720 = 114\)
What is the slope intercept form of -8x+2y=4
Answer:
y=4x+2
Step-by-step explanation:
Answer:
y=4x+4
Step-by-step explanation:
move 8x to the left side than divide 2y by 8x and 4 to give u that answer. hope it helps
A square has sides that measure 6 inches each. What is the ratio of the perimeter of the square to the area of the square?
Answer:
2 : 3
Step-by-step explanation:
Given the square has a side of 6 in , then
perimeter = 4 × 6 = 24 in
area = 6² = 36 in²
Then ratio of perimeter : area
= 24 : 36 ( divide both parts by 12 )
= 2 : 3
Derive the DFG for the equation below:
m = (b + c) * e - (b + c)
A Data Flow Graph (DFG) is a graphical representation of a system or program that illustrates the flow of data between different components or operations.
To derive the Data Flow Graph (DFG) for the equation \(m = (b + c) \times e - (b + c)\)\), we need to break down the equation into individual operations and represent them as nodes in the graph.
- Variables: \(\(m\), \(b\), \(c\), \(e\)\)
- Constants: None
- Addition: \(\(b + c\)\)
- Multiplication: \(\((b + c) \times e\)\)
- Subtraction: \(\((b + c) \times e - (b + c)\)\)
- Node 1: Addition of \(\(b\) and \(c\) (\(+\))\)
- Node 2: Multiplication of Node 1 result and \(\(e\) (\(\times\))\)
- Node 3: Addition of Node 2 result and Node 1 result \((\(+\))\)
- Node 4: Subtraction of Node 3 result and Node 1 result \((\(-\))\)
- Node 5: Output node representing variable \(\(m\)\)
- Connect Node 1 output to Node 2 input
- Connect Node 1 output to Node 3 input
- Connect e to Node 2 input
- Connect Node 3 output to Node 4 input
- Connect Node 1 output to Node 4 input
- Connect Node 4 output to Node 5 input
The resulting DFG for the equation is as follows:
```
+------+
| |
+--+---+ |
| Add | |
| (b+c)| v
+------+
↓
+------+ +------+
| | | |
|Mult | | |
|(b+c) | +--+---+ |
| e | | Add | |
| | |(b+c) | |
+------+ | - | |
| | | v
v +------+
+------+
| |
|Sub |
| |
+------+
↓
+------+
| |
|Output|
| m |
+------+
```
This DFG represents the dependencies and computations involved in the given equation, allowing for further analysis and optimization of the expression.
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5x - 6 = 3x + 4
X= -2
X= 5
All real numbers
X=2
Answer:
x = 5
Step-by-step explanation:
Step 1: Write equation
5x - 6 = 3x + 4
Step 2: Solve for x
Subtract 3x on both sides: 2x - 6 = 4Add 6 to both sides: 2x = 10Divide both sides by 2: x = 5Step 3: Check
Plug in x to verify it's a solution.
5(5) - 6 = 3(5) + 4
25 - 6 = 15 + 4
19 = 19
Answer:
X= 5
Step-by-step explanation:
5*5-6=19
3*5+4=19
Will give brainliest if you are right.
Answer:
X intercept is (2,0)
Y intercept is (0,-4)
Gib brainliest hahaha
(but hope i helped :)
Argent deadline is tomorrow a²-(b-c)²
Answer:
\(a^2 - ( b- c)^2 = a^ 2- b^2 - c^2 +2 bc\)
Step-by-step explanation:
\(Using \ (x - y)^2 = x^2 - 2xy + y^2\)
\(a^2 - (b - c)^2 = a^2 - ( b^2 - 2bc + c^2 ) = a^2 - b^2 + 2bc - c^2 = a^2 - b^2 - c^2 + 2bc\)
Question 4.
The angle of elevation of the top of a tree from a point on the ground 22 m away is 24⁰°.
Calculate the height of the tree (in metres) correct to 2 decimal places.
22 m
tree
Answer:
9.80 m
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between sides of a right triangle and its angles.
__
setupThe geometry of this problem can be modeled by a right triangle, so these relations apply. We are given an angle and adjacent side, and asked for the opposite side, so the relation of interest is ...
Tan = Opposite/Adjacent
Using the given values, we have ...
tan(24°) = AC/AB = (tree height)/(distance from tree)
tan(24°) = AC/(22 m)
solutionMultiplying by 22 m gives ...
tree height = AC = (22 m)·tan(24°) ≈ 9.79503 m
The height of the tree is about 9.80 meters.
that the images between 3 and 4
Answer:
Explain more what you need to someone to answer :3
what method of data collection would you use to collect data for a study where a political pollster wishes to determine if his candidate is leading in the polls? survey published source designed experiment observational study
The method used to collect data will be a survey
A survey is a technique for gathering information from a sample of people to learn more about their beliefs, attitudes or other traits. Political polls frequently entail selecting a representative sample of the populace and asking them questions regarding their beliefs. A survey is a distinct way of gathering data. Numerous techniques, including telephone interviews, online questionnaires, and in-person interviews, can be used to conduct surveys.
In a political poll, the pollster would typically design a survey including a series of questions related to the political candidate and the election, and then administer the survey to a sample of individuals to successfully gather data about their opinions and voting intentions. The results of the survey can be then analyzed to determine the candidate's standing in the polls.
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Solve the right triangle. b= 100 c=450 Are (Round to the nearest tenth as needed.) BA (Round to the nearest tenth as needed.) DAS (Round to the nearest whole number as needed.) ||| Question 4, 6.2.9 4 HW Score: 33.33%, 3. O Points: 0 of 1
The solution to the right triangle with b= 100 and c=450 is:
Side a ≈ 436.4
Angle A ≈ 63.9°
Angle A' ≈ 26.6°
Angle C ≈ 89.5°
We can use the Pythagorean theorem to solve for the length of side a:
a^2 + b^2 = c^2
a^2 + 100^2 = 450^2
a^2 = 450^2 - 100^2
a ≈ 436.4
Next, we can use trigonometry to solve for the angles of the triangle:
sin(A) = a/c
A = sin^-1(a/c)
A ≈ 63.9°
cos(A) = b/c
A' = cos^-1(b/c)
A' ≈ 26.6°
Finally, we can use the fact that the sum of the angles in a triangle is 180° to solve for angle C:
C = 180° - A - A'
C ≈ 89.5°
Therefore, the solution to the right triangle with b= 100 and c=450 is:
Side a ≈ 436.4
Angle A ≈ 63.9°
Angle A' ≈ 26.6°
Angle C ≈ 89.5°
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Consider the following data drawn independently from normally distributed populations: (You may find it useful to appropriate table: z table or t table)
xˉ1 = −17.1
s1^2 = 8.4
n1=22
xˉ2 = −16.0
s2^2 = 8.7
n2 = 24
a. Construct the 90% confidence interval for the difference between the population means. Assume the population va unknown but equal. (Round final answers to 2 decimal places.)
confidence interval is __ to __
The 90% confidence interval for the difference in the population means is -2.51 to 0.31
Calculating the 90% confidence interval for the population mean differenceFrom the question, we have the following parameters that can be used in our computation:
xˉ₁ = −17.1
s₁² = 8.4
n₁ = 22
xˉ₂ = −16.0
s₂² = 8.7
n₂ = 24
Calculate the pooled variance using
P = (df₁ * s₁² + df₂ * s₂²)/df
Where
df₁ = 22 - 1 = 21
df₂ = 24 - 1 = 23
df = 22 + 24 - 2 = 44
So, we have
P = (21 * 8.4 + 23 * 8.7)/44
P = 8.56
Also, we have the standard error to be
SE = √(P/n₁ + P/n₂)
So, we have
SE = √(8.56/22 + 8.56/24)
SE = 0.86
The z score at 90% CI is 1.645, and the CI is calculated as
CI = (x₁ - x₂) ± z * SE
So, we have
CI = (-17.1 + 16.0) ± 1.645 * 0.86
This gives
CI = -1.1 ± 1.41
Expand and evaluate
CI = (-2.51, 0.31)
Hence, the confidence interval is -2.51 to 0.31
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PLEASE HELP
ASAP!! i’ve been on it for 2 hrs
C. Two vectors are said to be parallel if they point in the same direction or if they point in
opposite directions.
i. Are the vectors = < 1> and = <--1> parallel? Show your work and explain.
Type your response here:
ii. Are the vectors = <2, 3> and = <-3, -2> parallel? Show your work and explain.
Type your response here:
Answer:
Hey there,
The answer is below!!
Step-by-step explanation:
Knowing that those vectors start at the point (0,0) we can "think" them as lines.
As you may know, two lines are parallel if the slope is the same, then we can find the "slope" of the vectors and see if it is the same.
A) the vectors are: (√3, 1) and (-√3, -1)
You may remember that the way to find the slope of a line that passes through the points (x1, y1) and (x2, y2) is s = (y2 - y1)/(x2 - x1)
Because we know that our vectors also pass through the point (0,0)
then the slopes are:
(√3, 1) -----> s = (1/√3)
(-√3, -1)----> s = (-1/-√3) = (1/√3)
The slope is the same, so the vectors are parallel.
Part B:
The vectors are: (2, 3) and (-3, -2)
the slopes are:
(2, 3) -----> s = 3/2
(-3, -2)----> s = -2/-3 = 2/3
the slopes are different, so the vectors are not parallel.
Evaluate X ds, where C is the straight line segment x=t;y= from (0,0) to (20,4) the parabolic curve x =t, y =12, from (0,0) to (2,4) For the straight line segment, x ds
Xds for the given straight line segment and parabolic curve are Xds = (2/9) (1+(1.5x)²)\(^(3/2)\)+ C.
What is the formula for Xds?The parabolic curve x =t, y =12, from (0,0) to (2,4), for the straight line segment, x ds, use the formula:
Xds = ∫√(1+dy/dx²)dx.
For the given straight line segment, x=t;y= from (0,0) to (20,4), the equation is y = 4x/20, or y = 0.2x.
Therefore, dy/dx = 0.2.
Xds = ∫√(1+(0.2)²)dx= ∫√(1+0.04)dx= ∫√(1.04)dx
Evaluating this integral using the substitution method, let u = 1.04x,
we have:
Xds = 1/√1.04 ∫√u du
= 1/√1.04ˣ(2/3) u\(^(3/2)\) + C
= 1/√1.04 ˣ (2/3) (1.04x)\(^(3/2)\) + C
= 0.9626(1.04x)\(^(3/2)\) + C.
For the given parabolic curve x =t, y =12, from (0,0) to (2,4), the equation is y = 12x²/16 = 0.75x².
Therefore, dy/dx = 1.5x. Substituting this value in the formula above, we have:
Xds = ∫√(1+(1.5x)²)dx
Again, using the substitution method, let
u = 1+(1.5x)²,
we have:
Xds = (2/3)∫√u du= (2/3) ˣ (1/3) u\(^(3/2)\) + C= (2/9) (1+(1.5x)²)\(^(3/2)\) + C.
Therefore, Xds for the given straight line segment and parabolic curve are:
For straight line segment:
Xds = 0.9626(1.04x)\(^(3/2)\) + C.For parabolic curve:
Xds = (2/9) (1+(1.5x)²)\(^(3/2)\)+ C.
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3x^2+24x+9=0 in vertex form (completing the square)
Answer:
I tried everything and either I'm doing it wrong or you wrote this wrong
Step-by-step explanation:
Points B and D are on the perpendicular bisector of ABC. The measure of
The measure of ∠C is The solution is obtained using the properties of triangle and perpendicular bisector.
What is a perpendicular bisector?
A line that divides a line segment into two equal halves and forms a 90-degree angle at the point of intersection is called a perpendicular bisector. To put it another way, a perpendicular bisector separates a line segment at its midpoint, creating a 90-degree angle.
Assumption: The given triangle ABC is an isosceles triangle.
We are given that BD is the perpendicular bisector of triangle ABC. This means that ∠BDA and ∠BDC=90°
We know that sum of all angles of a triangle are 180°.
So, in triangle BDA,
37° + 90° + ∠BAD = 180°
127° + ∠BAD = 180°
∠BAD = 53°
Now, since the triangle ABC is an isosceles triangle, therefore AB=BC.
This implies that ∠BAC= ∠BCA
∠BAC is ∠BAD which is 53°.
So, ∠BCA = 53°
Hence, the measure of ∠C is 53°.
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PLEASE HELP (THE PHOTO)
Answer:
a. y = 4x b. 48 feet
Step-by-step explanation:
y = mx + b
Plotted points found:
(5,20) (10,40)
Delta y/Delta x
(40-20)/(10-5)
20/5 = 4
Slope: 4
y = 4x + b
The y-intercept is when x = 0. In this case, the y-intercept is 0.
Equation: y = 4x
b.
y = 4(12)
y = 48 feet
Lester started the day with $12 in his pocket he is saving for the new mop with the snazzy Pinstripes on Amazon Prime he works a job making $8 an hour the moped cost $268 write the equation that represents how many days letter needs to work to have $268
Answer:
32h (1 day and 8h )
Step-by-step explanation:
268-12=256
256:8= 32
32h
Answer:
8x+12= 268
Step-by-step explanation:
We know that Lester already has $12, so that would be: +12
Since he works for $8 an hour, x will represent each hour: 8x
*x will determine the number of hours, if you want days, then divide the amount of hours by 24.
Emilio asked his aunt for $20 to buy supplies for his lemonade stand. Once his stand opened he made $40 a day
The equation that represents profit is $40x - $20.
The profit after 5 days in business is $180.
The profit after 10 days in business is $380.
The profit after 10 days in business if revenue is $45 is $430.
What is profit?
Profit is total revenue less total cost.
Profit = total revenue - total cost
Profit = $40x - $20
Where:
x = number of days
What is the total profit after 5 days and 10 days?$40(5) - $20
= $200 - $20
= $180
$40(10) - $20
$400 - $20
$380
What is total profit if revenue is $45?
$45(10) - $20
= $450 - $20
= $430
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