A linear function goes through the points (-3,1) and (1,-3). What are the coordinates for the y-intercept of this function?
Answer:
y = (0,-2)
Step-by-step explanation:
change in y/ change in x.
-4/4 ---> slope is -1
plug x and y coordinates AND SLOPE into y=mx+b
-3= -4/4(1)+b
-3= -1 +b
-2=b
Which is not the method that can be used to show congruency of two triangles?.
The method that cannot be used to show congruency of two triangles is the method of "angle-angle-angle" (AAA).
The AAA method states that if the corresponding angles of two triangles are congruent, then the triangles themselves are congruent. However, this method is not valid for proving congruency because it does not take into account the lengths of the sides of the triangles.
To prove congruency, we typically use one of the following valid methods:
Side-Side-Side (SSS): If the three sides of one triangle are congruent to the corresponding three sides of another triangle, then the triangles are congruent.
Side-Angle-Side (SAS): If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
Angle-Side-Angle (ASA): If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
Side-Angle-Angle (SAA): If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are not necessarily congruent. This method alone is not sufficient to prove congruency.
Therefore, the method that cannot be used to show congruency of two triangles is the Angle-Angle-Angle (AAA) method.
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Solve the set of simultaneous equations graphically. Use a scale of 1cm = 1 unit on both axes.
y=4+x
y=1+3x ; 0≤x≤6
Graphs attached
(x,y)=(1.5,5.5)I need help now or i fail my class :( .Will give lots of points.
Answer:
Now you can't fail in your class.
Need the question answered asap
Step-by-step explanation:
First find the area of the rectangle with the variables.
\((x + 5) \times x = {x}^{2} + 5x\)
Now the areas are equal, so we have to solve the equation
\( {x}^{2} + 5x = 36 \\ x + \sqrt{5x} = 6 \\ 3.236x = 6 \\ x = 1.854\)
Assume you have a normal distribution with a mean of 65 and a standard deviation of 13. Find the Z-Score of 72, rounding your answer to the nearest HUNDREDTH.
STEP - BY - STEP EXPLANATION
What to find?
The z- score of 72
Given:
mean (μ) = 65
standard deviation (σ) = 13
x = 72
Step 1
Recall the z- score formula.
\(z=\frac{x-\mu}{\sigma}\)Step 2
Substitute the values into the formula and simplify.
\(Z=\frac{72-65}{13}\)\(=0.54\)ANSWER
0.54
What is 4-2+3+6? Plz add the work and what you did thx
Answer:
11
Step-by-step explaination
Start by subtracting 4-2 and you get 2
Then add 2+3 to get 5
Add 5+6 and get 11
4-2+3+6
4-2=2
2+3+6
5+6
11
at the school festival , raffle tickets were sold at $1 each, or 3 for $2. At the end of the day, 15 books of tickets, each containing 20 tickets, were sold. the money collected from the sale was $236. How many tickets were sold at 3 for $2?
Answer:
you have to take away you word they said how many
2. Find the volume of a rectangular prism with a length of 2.4 ft, a height of 4.5 ft, and a width of 1.3 ft.
Answer:
14.04
Step-by-step explanation: :)
PLEASE HELP WILL GIVE BRAINLIST!!!
The Kims drove 450 miles in each direction to Grandmother's house and back again. If their
car gets 25 miles per gallon and their cost for gasoline was $3.25 per gallon for the trip to
Grandmother's house, but $3.50 per gallon for the return trip, how much more money did they
spend for gasoline returning from Grandmother's house than they spent going to Grandmother's?
A) $2.25
B) $4.50
C) $6.25
D) $9.00
Exactamente a las 6:45 am mi reloj se daño y comenzo a caminar en sentido contrario a la velocidad correcta, ahora son las 9:30 am que hora esta marcando mi reloj? ayuda :(
Answer:
El reloj está marcando:
las 4:00 horas
Step-by-step explanation:
El reloj avanzó a su mismo ritmo pero en sentido contrario a partir de las 6:45
si ahora son las 9:30 el reloj marca:
9:30 = 9horas 30minutos = 9h 30'
6:45 = 6horas 45minutos = 6h 45´
1 hora = 60'
9h 30' = 8h + 60' + 30' = 8h + 90' = 8h 90'
entonces:
8h 90'
- 6h 45'
= 2h 45
entonces el reloj está marcando 2h 45' menos que la hora en que se dañó.
por tanto:
6h 45'
- 2h 45'
= 4h 00'
El reloj ahora está marcando las
4 horas en punto.
Clarence sells yearly subscriptions to a particular magazine. he sells at least 10 and no more than 25 subscriptions each week. the function represents the amount of money earned for selling t subscriptions each week. what is the practical range of the function?
The practical range of the function is between $100 and $625.
This can be calculated using the formula y=10x, where x is the number of subscriptions sold each week and y is the amount of money earned. To calculate the amount of money earned for selling t subscriptions each week, we can use the formula y = 10t. This can be interpreted as saying the amount of money (y) is equal to 10 times the number of subscriptions sold (t). For example, if Clarence sells 15 subscriptions each week, then we can calculate the amount of money he earns by plugging in t = 15. y = 10(15) = 150. This means Clarence earns $150 each week by selling 15 subscriptions. For example, if Clarence sells 10 subscriptions each week, he would earn $100 (10 x 10 = 100). If he sells 25 subscriptions each week, he would earn $625 (25 x 25 = 625). The practical range of the function is therefore $100 to $625.
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A rectangle has a perimeter of 80. if the length is four more than twice the width, what is the length of the rectangle
Answer:
28
Step-by-step explanation:
l = length
w = width
p = perimeter
w = w
l + l + w + w = p (adding all the rectangle's sides together gets us our perimeter)
l = 2w + 4 (four more than twice the width)
Substitute 2w + 4 for 'l' in the original equation
(2w + 4) + (2w + 4) + w + w = 80
Solve equation normally:
6w + 8 = 80
6w = 72
w = 72/6 = 12
(w = 12)
Length = 2w + 4
Substitute 12 for 'w':
2(12) + 4 = l
24 + 4 = l
28 = l
The length is 28
$600 son repartidos entre 3 amigos en la razón (2w + 3) : (w + 2) : (3w + 4), en donde w es un número positivo.
a) Si la menor parte es $125, forma una ecuación en términos de w y resuélvelo.
b) Luego, expresa la razón en la forma más simple.
c) Los 3 amigos deciden donar $50 cada uno a una caridad. Determina la razón de sus partes luego de la donación
The equation will be (2w ,+ 3) + (w + 2) + (3w + 4) = 600
The ratio in lowest term will be 2:1:3
When they donate $50, the ratio will be 1:4.
How to calculate the value?a. The equation based on the information will be:
(2w + 3) + (w + 2) + (3w + 4) = 600
6w + 9 = 600
6w = 600 - 9
6w = 591
Divide
w = 591/6
w = 98.5
b. Therefore, (2w + 3) = 2×98.5 + 3 = 200
(w + 2) = 98.5 + 2 = 100.5
(3w + 4) = 3(98.5) + 4 = 299.5
The ratio in lowest term will be 2:1:3.
c. When they donate $50, the ratio will be:
= (50 × 3)/600
= 150/600
= 1:4
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For one month Siera calculated her home town’s average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees Fahrenheit to degrees Celsius using the function C of F = five-ninths (F minus 32) . What does C(F) represent?
the temperature of F degrees Fahrenheit converted to degrees Celsius
the temperature of F degrees Celsius converted to degrees Fahrenheit
the temperature of C degrees Fahrenheit converted to degrees Celsius
the temperature of C degrees Celsius converted to degrees Fahrenheit
{y | y = –7, –6, –2, –1, 0, 1, 3, 9}
For given average temperatures and °C=5/9°F-32 C represents temperature unit in celsius.
What is average?
In Maths, an average of a list of data is the expression of the central value of a set of data. Mathematically, it is defined as the ratio of summation of all the data to the number of units present in the list. In terms of statistics, the average of a given set of numerical data is also called mean. For example, the average of 2, 3 and 4 is (2+3+4)/3 = 9/3 =3. So here 3 is the central value of 2,3 and 4. Thus, the meaning of average is to find the mean value of a group of numbers.
Average = Sum of Values/Number of Values
Also
Suppose, we have given with n number of values such as x1, x2, x3 ,….., xn. The average or the mean of the given data will be equal to:
Average = (x1+x2+x3+…+xn)/n
Now,
Given formula
°C=5/9°F-32, C represents where °c is temperature unit in Celsius and
°F represents unit of temperature in Fahrenheit.
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use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.when 319 college students are randomly selected and surveyed, it is found that 120 own a car. find a 99% confidence interval for the true proportion of all college students who own a car.
The required 99% confidence interval representing the true proportion of all college students owns a car lies between the range of 0.3253 and 0.4283.
Sample size n = 319
Students who own a car represents the number of successes x = 120
Confidence interval = 99%
True proportion p of all college students who own a car.
The formula for the confidence interval for a population proportion is,
p1± zα/2 × √(p1(1-p1)/n)
where p1 is the sample proportion,
zα/2 is the z-score corresponding to the desired level of confidence interval 99%.
First, we find the sample proportion,
p1 = x/n
= 120/319
≈ 0.3768
z-score corresponding to a 99% confidence level.
This is a two-tailed test,
Split the alpha level evenly between the two tails.
α/2 = (1 - 0.99) / 2
= 0.005,
The z-score that encloses 0.005 in each tail of the standard normal distribution.
Using a standard normal table ,
zα/2 = 2.576.
Substituting the values into the formula, we get,
p1 ± zα/2 × √(p1(1-p1)/n)
= 0.3768 ± 2.576×√(0.3768(1-0.3768)/319)
= 0.3768 ± 0.0515
99% confidence interval for the true proportion p of all college students who own a car is,
0.3253 ≤ p ≤ 0.4283
Therefore, 99% confidence interval that the true proportion of all college students who own a car lies between 0.3253 and 0.4283.
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find the domain of f/g.
Answer:
Al real numbers except 4/3
Over the last 3 evenings, Heather received 61 phone calls at the call center. She received 7 more calls on the second evening than on the first evening. On the third evening, she received 2 times as many calls as the second evening. How many phone calls did she receive each evening?
Answer:
for real even great Britain cant get this because ya
Step-by-step explanation:
What is the length of line segment YX? 8 units 8 StartRoot 3 EndRoot units 12 units 12 StartRoot 3 EndRoot units.
Length of line segment YX is distance of both the ends of it. The length of line segment YX is \(8\sqrt{3}\) units.
What is length of a line segment?The length of a line segment is the measurement of the distance of both the ends of it.
Given information-
In the rectangle \(YVWX\) the length of line line segment YV is 24 units.
The rectangle \(YVWX\) is shown in the image below.
The angle given in the figure is,
\(m\angle X=30\\m\angle W=90\\m\angle V=60\)
Now in the figure of rectangle shown below, the triangle XWV is the right angle triangle.
In this right angle triangle the tan of angle is the ratio perpendicular to the base. thus,
\(\tan 60=\dfrac{24}{VW}\\\sqrt{3}=\dfrac{24}{VW}\\VW=8\sqrt{3}\)
As the opposite side of a rectangle are equal. Thus, the length of line segment is VW is equal to the length of the line segment YX. Therefore,
\(YX=VW=8\sqrt{3}\)
Hence, the length of line segment YX is \(8\sqrt{3}\) units. The option B is the correct option.
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Answer: Prolly B
Step-by-step explanation:
Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena starts with $10 in her savings account and adds $20 each week.
a. After four weeks, who has more money in their savings account? Explain how you know.
Answer:
Andre has more money in his savings account.
Step-by-step explanation:
We need to have equations for both Andre and Elena. Andre starts with $100 in his savings and adds $5 per week. Based on this, Andre's equation will be y = 5x + 100. Elena starts with $10 and adds $20 per week. Based on this, Elena's equation will be y = 20x + 10.
Andre: y = 5x + 100
Elena: y = 20x + 10
We have to figure out who will have more money in their account after 4 weeks. To do that, we plug in 4 into x because x is the number of weeks.
Andre: y = 5(4) + 100
y = 20 + 100
y = 120
Andre has $120 after 4 weeks.
Elena: y = 20(4) + 10
y = 80 + 10
y = 90
Elena has $90 after 4 weeks.
Which is greater? $120 or $90? That's right, its $120. Andre has more money in his savings account. I hope this helps!
If a card is drawn from a deck, find the probability of getting these results:
a. a 6 and a spade
b. a black king
c. a red card and a 7
d. a diamond or a heart
e. a black card
Answer:
Below in bold,
Step-by-step explanation:
a. There's is only one card that fits this description so
Probability = 1/52.
b. There are 2 black Kings so
Probability = 2/52 = 1/26.
c. There are 2 of these - 7 of diamonds and 7 of hearts
so
Probability = 2/52 = 1/26.
d. There 13 diamonds and 13 hearts so
Probability = 26/52 = 1/2.
e. There 26 black cards
Probability = 26/52 = 1/2.
Andrew is two years older than Beatrice, and Chris is three years younger than Beatrice.
The sum of Andrew's age and Chris' age is 67. Let b represent Beatrice's age.
Write an equation that would help determine Beatrice's age.
Answer:
Beatrice's age is 34
Step-by-step explanation:
Beatruce = B
Andrew = B+2
Chris= B-3
B+(B+2) +(B-3 )= 67-B
3B-1 = 67-B
2B -1 = 67
2B= 68
B = 34
Beatrice is 34
Andrew is 36 (34+2)
Chris is 31 (34-3)
36+31 = 67
Show that d/dx(csc x) = -csc x cot x
Quotient rule of differentiation.
d/dx(csc x) = (-1)(sin \(x)^{-2}\) (cos x) = -cot x (sin \(x)^{-1}\) = -csc x cot x
d/dx(csc x) = -csc x cot x.
To show that d/dx(csc x) = -csc x cot x, we will use the quotient rule of differentiation.
Recall that csc x is defined as 1/sin x.
Therefore, we can rewrite the function as:
csc x = (sin \(x)^{-1}\)
Taking the derivative of csc x with respect to x using the quotient rule, we get:
d/dx(csc x) = (-1)(sin x) (cos x)
Now we need to simplify this expression using trigonometric identities. Recall that
cot x = cos x/sin x.
Therefore, we can rewrite the above expression as:
d/dx(csc x) = (-1)(sin \(x)^{-2}\) (cos x) = -cot x (sin \(x)^{-1}\) = -csc x cot x
Therefore, we have shown that d/dx(csc x) = -csc x cot x.
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To show that d/dx(csc x) = -csc x cot x, we need to differentiate csc x with respect to x using the chain rule and trigonometric identities.
Recall that csc x is the reciprocal of sin x, so we can write:
csc x = 1/sin x
Then, using the chain rule, we can differentiate csc x as follows:
d/dx(csc x) = d/dx(1/sin x) = -1/sin^2 x * d/dx(sin x)
Now, we can use the derivative of sin x with respect to x, which is cos x:
d/dx(csc x) = -1/sin^2 x * cos x
Next, we can use the identity cot x = cos x/sin x to simplify the expression:
d/dx(csc x) = -cos x/(sin x)^2 = -csc x * cot x
Therefore, we have shown that d/dx(csc x) = -csc x cot x.
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What is 110.4 x 10.4 rounding to the nearest whole number
Answer:
1148
Step-by-step explanation:
Multiply to get 1148.16, then round.
Will mark brainliest please help
Option A
Opposite angles in a cyclic quadrilateral add up to 180°
So
her
x and 133 are opposite angles
x+133=180x=180-133x=47°Part A is done after part B
Answer:
Quadrilateral: A two-dimensional shape with 4 straight sides and 4 interior angles.
Cyclic Quadrilateral: A quadrilateral drawn inside a circle where every vertex of the quadrilateral touches the circumference of the circle.
We know that opposite angles in a cyclic quadrilateral are supplementary, which means their sum is 180°
Therefore:
⇒ x + 133° = 180°
⇒ x = 180° - 133°
⇒ x = 47°
Opposite angles in a cyclic quadrilateral add up to 180°
Eliminate the parameter t, write the equation in Cartesian coordinates, then sketch the graph of the vector- valued function r(t)=(2 sint, 3 cost) showing orientation.
Note that the curve is symmetric about the x and y axes, and it intersects the x-axis at x = -sqrt(13/4) and x = sqrt(13/4), and the y-axis at y = -sqrt(13/9) and y = sqrt(13/9) using parametric equation.
The vector-valued function is given by r(t) = (2 sin(t), 3 cos(t)).
To eliminate the parameter t, we can use the trigonometric identity sin^2(t) + cos^2(t) = 1. Solving for sin(t) and cos(t), we get:
sin(t) = sqrt(1 - cos^2(t))
cos(t) = sqrt(1 - sin^2(t))
Substituting these expressions into the definition of r(t), we get:
r(t) = (2 sqrt(1 - cos^2(t)), 3 sqrt(1 - sin^2(t)))
Squaring both sides of these equations, we get:
4 - 4 cos^2(t) + 9 sin^2(t) = 4 x^2
9 cos^2(t) - 9 sin^2(t) + 4 = 9 y^2
Adding these equations together, we get:
4 x^2 + 9 y^2 = 13
This is the equation of an ellipse centered at the origin with semi-major axis sqrt(13/4) along the x-axis and semi-minor axis sqrt(13/9) along the y-axis.
To sketch the graph of r(t), we can plot points for various values of t and connect them to form the curve. Since x = 2 sin(t) and y = 3 cos(t), we can see that the curve starts at (0,3) when t = 0 and moves counterclockwise around the ellipse. The orientation of the curve is shown in the sketch below:
y
|
3 | *
| / \
| / \
|/ \
+---------\------\
-2 2 x
The asterisk (*) represents the starting point of the curve when t = 0, and the arrows indicate the direction in which the curve moves as t increases.
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Please can someone give me an answer to this I really need it it’s due tomorrow and my teacher looks like Paul blart but is nowhere as cool or nice as Paul! Please please please!!!!!!!! There is a picture attached.
Answer:
x=15° and MNQ=32°
Step by step:
MNQ+QNP=90°
3x-13°+58=90°
so,3x+45°=90°
Then,3x=45° and x=15°
MNQ=3x-13°=3(15°)-13°
=45°-13°
=32°
Answer: x = 15 and MNQ = 32°
Step-by-step explanation:
how much does 13 quarters equal?
I just need the answer.
Answer:
325 cents
Step-by-step explanation:
pls help me i dont get it :(
Answer:
7.alternate interior
x=64
8. same side interior
x=12
same side exterior
x=12
Answer:
7. x = 648. x = 129. x = 12Step-by-step explanation:
7. alternate angle or opposite angle are equal
128 = 2x
x = 128 / 2
x = 64
8. interior angles = 180
180 = 72 + (7x + 24)
180 - 72 - 24 = 7x
x = 84 / 7
x = 12
9. same side angle = 180
180 = 65 + (11x - 17)
180 - 65 + 17 = 11x
x = 132 / 11
x = 12
Question * Let D be the region enclosed by the two paraboloids z = 3x² + 12/²4 y2 z = 16-x² - Then the projection of D on the xy-plane is: 2 None of these 4 16 This option This option = 1 This opti
The correct option would be "None of these" since the projection is an ellipse and not any of the given options (2, 4, 16, or "This option").
To determine the projection of the region D onto the xy-plane, we need to find the intersection curve of the two paraboloids.
First, let's set the two equations equal to each other:
3x² + (12/24)y² = 16 - x²
Next, we simplify the equation:
4x² + (12/24)y² = 16
Multiplying both sides by 24 to eliminate the fraction:
96x² + 12y² = 384
Dividing both sides by 12 to simplify further:
8x² + y² = 32
Now, we can see that this equation represents an elliptical shape in the xy-plane. The equation of an ellipse centered at the origin is:
(x²/a²) + (y²/b²) = 1
Comparing this with our equation, we can deduce that a² = 4 and b² = 32. Taking the square root of both sides, we have a = 2 and b = √32 = 4√2.
So, the semi-major axis is 2 and the semi-minor axis is 4√2. The projection of region D onto the xy-plane is an ellipse with a major axis of length 4 and a minor axis of length 8√2.
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