The equation of the line is x = 25, in accordance with the given conditions.
What is the equation of a line?It is a first-order equation with the variables x and y. The coordinates of the point on the line shown in the coordinate plane are represented by the values of x and y.Given:
Line passes through (25,24)Line is perpendicular to y =6.To find: Equation of the line.
Finding:
Let the equation of the line be: (y - y') = m (x - x'),
where, (x',y') = point through which the line passes and m = slope of the line.
Since the given line is perpendicular to y = 6; the slope of this line = 0.The slope of the first line = [tex]\frac{1}{0}[/tex] , i.e., the y-intercept of this line does not exist and it is a vertical line.
Hence, the equation of the line is 0 = 1 (x - x')
Since the line passes through (25,24), x' = 25Thus, the equation of the line => 0 = 1 (x - 25)
=> x = 25.
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an example of a unti price youd find in germany-
Here are four equations connecting x and y k is a constant
Answer:
A : Equation 4
B: Equation 1
C: Equation 3
D: Equation 2
Step-by-step explanation:
For direct proportionality, it means as one variable increases, the other increases. E.g. as X in eqn 4 increases y increases. Same thing applies to decrease. This is cause y and x are on the "same level". In eqn 2 and 3, y and x are NOT on the same level because of the division sign.
Hope this helps!
Kindly mark (my answer) as brainliest. Thanks.
Name:
#5 Go Tigers!
Seven days a year, Tiger Stadium becomes the fifth largest city
in the state of Louisiana. Over 92,000 fans pack the stadium to
watch the Tigers play. After the game, if the fans leave at a rate
of 10% per minute, how long will it take before the stadium is
half empty?
Partner Name:
Circle:
EQUATION
y = abx
GRAPH (label the x, and y-axis, plot the four points from the table, and connect the dots to receive full credit)
X
a =
TABLE
or y = a (1+r)*
Identify if it is a GROWTH or DECAY by circling
Write your equation:
After the game, if the fans leave at a rate of 10% per minute, how long will it take before the
stadium is half empty?
b =
f(x)
MEANING OF THE EQUATION
Answer:
3/2
Step-by-step explanation:
Solve the given initial-value problem. the de is a bernoulli equation. y1/2 dy dx y3/2 = 1, y(0) = 9
A differential equation with some initial conditions is used to solve an initial value problem.
The required particular solution is given by the relation:
[tex]$4y^{(3/2)} = 9e^{(-2x/3)} + 23[/tex]
What is meant by an initial-value problem?An initial value problem in multivariable calculus is an ordinary differential equation with an initial condition that specifies the value of the unknown function at a given point in the domain. In physics or other sciences, modeling a system frequently entails solving an initial value problem.
Let the given equation be [tex]$y^{1/2} dy\ dx y^{3/2} = 1[/tex], y(0) = 9
[tex]$(\sqrt{y } ) y^{\prime}+\sqrt{(y^3\right\left) }=1[/tex] …..(1)
Divide the given equation (1) by [tex]$\sqrt{ y} $[/tex] giving
[tex]$y^{\prime}+y=y^{(-1 / 2)} \ldots(2)$[/tex], which is in Bernoulli's form.
Put [tex]$u=y^{(1+1 / 2)}=y^{(3 / 2)}$[/tex]
Then [tex]$(3 / 2) y^{(1 / 2)} \cdot y^{\prime}=u^{\prime}$[/tex].
Multiply (2) by [tex]$\sqrt{ } y$[/tex] and we get
[tex]y^{(1 / 2)} y^{\prime}+y^{(3 / 2)}=1[/tex]
(2/3) [tex]u^{\prime}+u=1$[/tex] or [tex]$u^{\prime}+(3 / 2) y=3 / 2$[/tex],
which is a first order linear equation with an integrating factor
exp[Int{(2/3)dx}] = exp(2x/3) and a general solution is
[tex]u. $e^{(2 x / 3)}=(3 / 2) \ln \[\left[e^{(2 x / 3)} d x\right]+c\right.$[/tex] or
[tex]\mathrm{y}^{(3 / 2)} \cdot \mathrm{e}^{(2x / 3)}=(9 / 4) \mathrm{e}^{(2x / 3)}+{c}[/tex]
To obtain the particular solution satisfying y(0) = 4,
put x = 0, y = 4, then
8 = (9/4) + c
c = (23/4)
Hence, the required particular solution is given by the relation:
[tex]$4y^{(3/2)} = 9e^{(-2x/3)} + 23[/tex]
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in the figure below.
L
(a) Name a diameter:
(b) Name a radius:
[
(c) Name a chord:
(d) If the length of GK is 6 units,
what is the length of JL?
X
units
Diameter = GK
Radius= JL
Chord= HI
JL=3
A circle is a fundamental 2D form whose radius is quantified. The interior and exterior parts of the aircraft are separated by the circles. It is similar to the type of line segment. Consider the line segment being bent till the ends meet. Make sure the loop is perfectly circular by arranging it.
A two-dimensional figure with an area and perimeter is a circle. The distance around a circle, or its circumference, is also known as its perimeter. The area of a circle is the area that it surrounds on a 2D plane.
radius = diameter /2
Diameter = GK
Radius= JL
Chord= HI
Since radius is half of diameter,
So, JL =GK/2 =6/2
= 3
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oi i need an answer for this question what number is the blue dot imma get some woh'oh please answer
want this q's answers according to the absolute value
Answer:
24; 0
Step-by-step explanation:
Absolute value means number of the value away from zero, either positive or negative. So the absolute value of -24 (for example) is 24 because it is 24 integers away from zero.
Please help thank youuu
Answer:
f(-7) = -15
g(-3) = 27
Step-by-step explanation:
We see that the functions defined are:
f(x) = 2x - 1
AND
g(x) = 2x^2 - 3x
This problem asks to find f(-7) and g(-3). To find this, we have to plug the respective numbers into the respective functions.
f(-7) = 2 (-7) - 1
f(-7) = - 14 - 1
f(-7) = -15
g(-3) = 2(-3^2) - 3(-3)
g(-3) = 2(9) + 9
g(-3) = 18+9
g(-3) = 27
FINAL ANSWER: f(-7) = -15, g(-3) = 27
Find an approximate equation of the line that passes through the two given. Write the equation in slope-intercept form. Round the slope and the constant term to teo decimal places. (-4. 7,2. 7) and (1. 3,-7. 3)
The equation of the line in slope-intercept form passing through the points (-4.7 , 2.7) and (1.3 , -7.3) is y = -1.67x - 5.13.
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The slope-intercept form of the equation of a line is given by the formula:
y = mx + b
where m is the slope of the line
b is the y- intercept
Given the two points, (-4.7 , 2.7) and (1.3 , -7.3), get the slope of the line using the formula:
m = (y2 - y1)/(x2 - x1)
m = (-7.3 - 2.7)/(1.3 - -4.7)
m = -10/6
m = -5/3
Using the slope-intercept form, plug in the value of the slope and one point to determine the y-intercept, b.
y = mx+ b
2.7 = -5/3(-4.7) + b
b = -77/15
Substitute the value of the slope and y-intercept in the slope-intercept form.
y = -5/3 x -77/15
y = -1.67x - 5.13
Hence, the equation of the line in slope-intercept form is y = -1.67x - 5.13.
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15.
if the measure of angle 2 is 8x + 10 and the
measure of angle 6 is x^2-38, what is the measure
of angle 8
a. 42
b. 74
c. 84
d. 106
e. 138
The measure of the angle 8 is option (d). 106.
Measure of Angle
Angle measurement is the amount of rotation from the initial to an endpoint of a ray.
Given,
Measure of Angle 2 = 8x + 10
Measure of angle 6 = x² - 38
Here we need to find the measure of angle 8.
Let us consider the angle 2 and 6 are corresponding angles.
Then,
Measure of Angle 2 = Measure of Angle 6
Apply the corresponding values,
Then we get,
8x + 10 = x² - 38
It can be written as,
=> x² - 38 - 8x - 10 = 0
=> x² - 8x - 48 = 0
When we factorize the equation,
Then we get,
=> (x + 4) ( x - 12) = 0
Then the value of x will be x = -4 and 12.
Here the value of x can't be negative.
So,
=> x = 12
Now apply the value of x on the measure of angle 2,
=> 8(12) + 10
=> 96 + 10
=> 106
So, the measure of angle 8 is option (d). 106.
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Researchers wanted to determine if there was an association between the level of happiness of an individual and their risk of breast cancer. The researchers studied 1813 people over the course of 5 years. During this 5-year period, they interviewed the individuals and asked questions about their daily lives and the hassles they face. In addition, hypothetical scenarios were presented to determine how each individual would handle the situation. These interviews were videotaped and studied to assess the emotions of the individuals. The researchers also determined which individuals in the study experienced any type of breast cancer over the 9-year period. After their analysis, the researchers concluded that the happy individuals were less likely to experience breast cancer. (a) What type of observational study was this? Explain. (b) What is the response variable? What is the explanatory variable?
The answers to all the subparts of the question are shown below.
What is an observational study?An observational study is used in fields such as epidemiology, social sciences, psychology, and statistics to draw conclusions from a sample to a population where the independent variable is not under the researcher's control due to ethical concerns or logistical constraints. One common observational study is about the potential effect of a treatment on subjects, where the assignment of subjects to a treated versus a control group is beyond the investigator's control.(A) What type of observational study was this?
Because all information about the individuals was gathered at one point in time, this was a cross-sectional study.(B-1) What is the response variable?
Whether or not the woman has IDC breast cancer is the response variable. The qualitative response variable is used.(B-2) What is the explanatory variable?
Whether or not the woman has IDC breast cancer is the explanatory variable.Therefore, the answers to all the subparts of the question are shown.
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If one wanted to find the probability of ten customer arrivals in an hour at a service station, one would generally use the _____ probability distribution.
If one wanted to find the probability of ten customer arrivals in an hour at a service station, one would generally use the Poisson probability distribution.
How do you find the probability of success for each trial?
Each trial has a head (success) and a tail (failure) outcome (failure). Each trial's chances of success are p = 1/2 and its chances of failure are q = 1 1/2 = 1/2. The variable X, which counts the number of successes across 12 trials, is the one that interests us. This is an illustration of a 12-trial Bernoulli experiment.What is the probability formula?
Probability is equal to the number of favorable outcomes (Total number of outcomes) P = n (E) / n (S) E is the event, P is the probability, and S is the sample area.
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find both area and perimeter of square its length is 16 cm
Answer:
Perimeter=16cm
Area=16cm
Step-by-step explanation:
we know that all 4 sides of square are equal. So,
Length of 4 sides of square= 16cm
Length of 1 side of square= 16/4cm=4cm
Now that we have found the length of single side of square, by using the formula of area and perimeter we can get of square like this:
Perimeter= 4 times the length of square
or,Perimeter= 4*4
Therefore,Perimeter=16 cm
Now,
Area=square of length of side
or,Area=4^2
Therefore, Area=16 cm
What is the simplified form of this expression 4(2x-5y)-3x
Answer:
5x - 20y
Step-by-step explanation:
4(2x - 5y) - 3x ← multiply each term in the parenthesis by 4
= 8x - 20y - 3x ← collect like terms
= 8x - 3x - 20y
= 5x - 20y
Answer:
5x - 20y
Step-by-step explanation:
Hello!
Distribute the terms outside of the parenthesis to the terms inside.
Simplify4(2x - 5y) - 3x4(2x) +4(-5y) - 3x8x - 20y - 3x5x - 20yThe simplified expression is 5x - 20y.
Evaluate the expression −x^2 + 2x-7 when X=-4
Question 2 of 10
Which situation shows a constant rate of change?
A. The amount raised by a booster club compared with the number
of raffle tickets sold
B. The weight of a kitten compared with its age in months
C. The number of goals scored in a soccer game compared with the
minutes played
D. The height of a paper airplane over time
The amount raised by a booster club compared with the number of raffle tickets sold shows a constant rate of change;
A constant rate of change is realized when a change in one situation always results in a change in another. In the scenario of a booster club that regularly sells raffle tickets, the more tickets it sells, the higher the club gets.
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Question 1-6
Mrs. Herrera is buying one piece of candy for each of the students who have 100% attendance. The number of students in Mrs. Herrera's mach classes that have perfect attendance is
2 Square root of 196 -1. The candy costs $0.79 each, plus 7% tax. How much money does it cost for Mrs. Herrera to purchase candy for her.
$19.75
$19.82
$20.45
$21.13
The total money that will be cost for Mrs. Herrera to purchase candy for her is $10.9889
Given, Number of students that 100% attendance in the class is √196 -1 that is equal to
14-1 = 13.
So, number of students is 13.
Cost of one candy = $0.79+7%(tax)
Cost of one candy = $0.79 + (7% of 0.79)
Cost of one candy = $ 0.79 + 0.0553
Cost of one candy = $0.8453
So , total cost that Mrs. Herrera to purchase candy will be
Total cost = Number of student X Cost of one candy
Total cost = 13 X $0.8453
Total cost = $ 10.9889
Hence, The total cost for Mrs. Herrera to purchase candy for her is $10.9889
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Which statement correctly explains how Mari could find the solution to the following system of linear equations using elimination?
Multiply the first equation by 7 and the second equation by 2, and then add.
Multiply the first equation by 3 and the second equation by 5, and then subtract.
Multiply the first equation by –7 and the second equation by 2, and then add.
Multiply the first equation by –3 and the second equation by -5, and then subtract.
Multiply the first equation by 7 and the second equation by 2, and then add.
2f - 5g=-9
-7f + 3g=4
To eliminate any variable , we need to make the coefficients same with different sign and add it
the coefficient of 'f' in first equation is 2
the coefficient of 'f' in second equation is -7
We already have different sign so we make the coefficients same
To make the coefficient same , we multiply the first equation by 7 and second equation by 2
So equation becomes
14f - 35g = -63
-14f + 6g = 8
Now when we add both equations, 'f' gets cancelled
-29g = -55
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Answer:
A
Step-by-step explanation:
Edge2022
What is the slope of a line perpendicular to the line whose equation is 4x+5y=354x+5y=35. Fully simplify your answer.
The perpendicular slope is expressed as the negative reciprocal of the slope or − 1 m. In this scenario, the slope, or m, is −4 so the slope of the perpendicular line is − 1 −4 which simplifies to 1 4
Pls help! shannon is designing a new rectangular flag for the school's color guard and is determining the angles at which to cut the fabric. she wants the measure of 22 to be three times as great as the measure of z1. she thinks the measures of 23 and 24 should be equal. finally, she wants the measure of 26 to be half that of 25. determine the measures of the angles. 3
The angles are: ∠1 = 22.5°, ∠2 = 67.5°, ∠3 and ∠4 = 45°, ∠5 = 135° and ∠6 = 67.5°.
The flag is rectangle; hence, each corner will be 90°. Now, sum of ∠1 and ∠2 and sum of ∠3 and ∠4 will be 90°. We are given ∠2 is three times the ∠3. So, forming the equation -
∠2 = 3 ∠3
∠2 = 3 ∠1
∠1 + ∠2 = 90
∠1 + 3 ∠1 = 90
4 ∠1 = 90
∠1 = 22.5°
∠2 = 90 - ∠1
∠2 = 90 - 22.5
∠2 = 67.5°
According to Shannon, ∠3 = ∠4
∠3 + ∠3 = 90
2 ∠3 = 90
∠3 = 45° = ∠4
∠2 and ∠6 are the opposite angles and hence are also equal. Also, according to Shannon, ∠6 = 1/2 ∠5.
67.5 = 1/2 × ∠5
∠5 = 67.5 × 2
∠5 = 135°
Hence, each angle is: ∠1 = 22.5°, ∠2 = 67.5°, ∠3 and ∠4 = 45°, ∠5 = 135° and ∠6 = 67.5°.
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What is b in this equation? -16 = 0.2b
Answer:
-16=0.2b
-16/0.2=b
b= -80 answer
Answer:
In the equation "-16 = 0.2b", b is equal to -80.
Step-by-step explanation:
-16 = 0.2b
Turn the decimal into a fraction. This will make solving simpler.
-16 = [tex]\frac{1}{5}b[/tex]
Multiply both sides by 5.
-80 = 1b
Simplify.
b = -80
Peter signed up for a program that cost $10.50 per month to stream movies to his computer. He decided to cancel the service after 5/6 month, he only has to pay for the amount of time he use the service. What number represents the total change in what amount of money Peter has after paying for the service.
In linear equation, $1.75 is amount of money Peter has after paying for the service.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Peter signed up for a program that costs $10.50 per month to stream movies to his computer.
He decided to cancel his service after 5/6 month.
So, has to pay for the amount of time he used the service
$10.50 . 5/6 = $175.5 = $8.75
The amount of money Peter has after paying for the service is
$10.50 - $8.75 = $1.75
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You work in a packaging store. A customer brings in a basketball to be put in a box. The available box is 25 centimeters (cm) on all sides, and the ball has a diameter of 9.55 inches.
Will the ball fit inside the box?
The ball will fit, because its diameter is approximately 12 cm.
The ball will fit, because its diameter is approximately 14 cm.
The ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.
The ball will not fit, because its diameter is approximately 3 cm longer than the side of the box.
The ball will not fit, because its diameter is approximately 14 cm longer than the side of the box.
Using the diameter concept, we have that the correct option is given by:
The ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.
What is the diameter of a circular or spherical object?The diameter of a circular or spherical object is the largest distance that can be formed between two parallel lines to it's boundary, hence, basically, the lateral distance occupied by the object.
For this problem, the diameter is in inches, while the available box is in cm, hence we have to convert the diameter to cm.
Each inch has 2.54 centimeters, hence the diameter of ball is of 9.55 x 2.54 = 24 (approximately) < 25, hence it will fit and the correct option is given by:
The ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.
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A yard has a perimeter of 190 feet. If four times the length of the yard equals 15 times the width, what are its dimensions
We get the dimensions of the park as length = 75 feet and width = 20 feet.
We are given that:
A yard has a perimeter of 190 feet.
Also, four times the length of the yard equals 15 times the width.
Now,
Let the length of the yard be x.
ATQ, we get the width of the yard as:
15 width = 4 x
Width = 4 / 15 x
Perimeter = 2 ( l + b )
190 = 2( x + 4 / 15 x )
95 = 19 x / 15
19 x = 95 × 15
19 x = 1425
x = 1425 / 19
x = 75 feet.
Length = 75 feet
Width = 4 / 15 x = 20 feet.
Therefore, we get the dimensions of the park as length = 75 feet and width = 20 feet.
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someone pls explain what is adding and subtracting whole numbers
Numbers without fractions are referred to as "whole numbers," and they are made up of positive integers and zero. It is denoted by the letter "W," and its corresponding set of numbers are 0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12,..
A mathematical procedure called addition symbolizes adding objects t to a larger collection. The plus sign ( + ) is used to denote it.
Some examples of the addition of whole numbers is:
1 + 8 = 9
10 + 19 = 29
A mathematical operation known as subtraction symbolizes the process of determining the difference between two numbers or units. The negative sign is used to denote it ( - ).
An example of subtraction of whole numbers is:
10 - 2 = 8
40 - 25 = 15
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5. Analyze and Persevere A recipe calls for 0.5 cup of milk. Express the number of cups of milk as a fraction.
The number of cups of milk when represented as fraction is expressed as 1/2 cup.
Given a recipe indicates 0.5 cup of milk.
A numerical value that designates a portion of a whole is used to represent fractions.A fraction is a part or portion that is taken from the total, which might be any number, a specific sum, or an item.
To convert it into fraction, we first need to remove the decimal.
5/10
when 5 is divided by 10 we get 0.5, hence we have removed the decimal and converted it into its orignal form.
Now multiply and divide by 5.
= 5 × 5/10 × 5
= 1/2
we get the fraction part as 1/2
Hence 0.5 cup of milk represent 1/2 cup of milk as a fraction.
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Find point G on AB such that the ratio of AG to GB is 3:2.
Using proportions, the coordinates of point G are given as follows:
(1.8, 1.6).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The points A and B are given as follows:
A(-3, 4) and B(5,0).
For this problem, we have that the ratio of AG to GB is 3:2, hence:
AG = 3/5AB
G - A = 3/5(B - A).
The x-coordinate of G is found as follows:
x + 3 = 3/5(5 + 3)
x + 3 = 4.8
x = 1.8.
The y-coordinate of G is found as follows:
y - 4 = 3/5(0 - 4)
y - 4 = -2.4
y = 1.6.
Hence the coordinates of point G are given as follows:
(1.8, 1.6).
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PLEASE ANSWER THIS I NEED IT URGENTLY WILL GIVE BRAINIEST 3 TIMES OR MORE AND 100 POINTS AND MORE!! PLSSS
Answer:
Step-by-step explanation:
8).
Given,
For no. Of shirts = 10, price per shirt = $9
For no. Of shirts = 25, price per shirt = $8.40
.
Linear equation be,
y = mx + b
x 10 25
y 9 8.4
9 = 10m + b (i)
8.4 = 25m + b (ii)
Now,
(i) 9 = 10 m + b b = 9 - 10m
(ii) 8.4 = 25m + b 8.4 = 25m + 9 - 10m
8.4 - 9 = 15m m = -0.6/15 = -0.04
m = - 0.04
b = 9 - 10m = 9 - 10(-0.04) = 9+0.4 = 9.4
b = 9.4
The linear equation,
y = mx + b
y = -0.04x + 9.4
i need asers pls now
342 = 2, 3, 6, 9
191 = no factors
1235 = 5
40320 = 2, 4, 8
16 = 2, 4, 8
78448 = 2, 4, 8
588 = 2, 4 , 12
67 = no factors
925 = 5
60043 = no factors
3663 = 3, 6
350 = 5
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13. There are 4,585 students who
rode the bus to school today.
There were 3,369 students who
came to school another way.
How many students were there
in all at the school?
The number of students in all at the school is 7,954 students.
How many students are in school?In order to determine the number of students in all at the school, you would add the number of students that rode the bus with the number of students that came to school another way.
Addition is the mathematical operation that is used to determine the sum of two or more numbers. The sign used to denote addition is +. Other mathematical operations are subtraction, division and multiplication.
Number of students in school = number of students that rode the bus + number of students that came another way
4,585 + 3,369 = 7,954 students
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