The y-intercept of the equation means: D. It means the technician charges a fixed amount of $50 for the repair.
How to Interpret the Y-intercept of an Equation?The y-intercept of an equation that models a situation is the initial or starting value. The y-intercept is represented in an equation that is expressed in slope-intercept form, y = mx + b, as "b". The value of "b" is the y-intercept.
Therefore, we are given that y = 20x + 50 represents the total amount the technician charges, in dollars, for a repair that takes specific hours. This implies that:
x = hoursy = total amountm = 20, which is the additional amount per hour.b = 50 = y-intercept, which is the starting value that represents the fixed amount for a repair that the technician charges.Therefore, y-intercept, b = 50, means: D. It means the technician charges a fixed amount of $50 for the repair.
Learn more about the y-intercept on:
https://brainly.com/question/10700419
#SPJ1
Hi! I can’t figure out m<4 and m<5. Can anyone help me?
The measure of angle 4 is 35 degrees and the measure of angle 5 is 81 degrees
The sum of angles on a straight line is equal to 180 degrees
Then the equation will be
∠3 + 81 +∠4 = 180 degrees
Substitute the value of ∠3 in the equation
64 + 81 + ∠4 = 180
145 + ∠4 = 180
∠4 = 180 - 145
∠4 = 35 degrees
The sum of interior angles of the triangle is 180 degrees
∠4 + ∠5 + 64 = 180
Substitute the values in the equation
35 + ∠5 + 64 = 180
∠5 + 99 = 180
∠5 = 180 - 99
∠5 = 81 degrees
Hence, the measure of angle 4 is 35 degrees and the measure of angle 5 is 81 degrees
Learn more about angle here
brainly.com/question/27682397
#SPJ1
find the weighted average of the weighted points on the number line. a number line with four weighted points plotted. the point at negative 4 has weight three, the point at negative 2 has weight three, the point at one has weight one, and the point at five as weight three.
The weighted average of the weighted points on the number line is -0.2.
A weighted average refers to the average of a data set that considers certain numbers as more important. Weighted averages are commonly used in statistical analysis, stock portfolios and teacher grading averages. In order to determine the weighted average of the weight points on the number line:
Determine the sum of weight value of each number. Weight value sum = (-4*3) + (-2*3) + (1*1) + (5*3) = -12 – 6 + 1 + 15 = -2 Determine the sum of weight points. Sum of weights = 3 + 3 + 1 + 3 = 10.Divide the sum of weight value by weight value sum. Weighted average = -2/10 = -0.2Hence, the average weight is -0.2.
Learn more about Weighted average:
https://brainly.com/question/28293878
#SPJ4
2<-2x+6 or -18>-2x+6
x < 2 and x > 12 are the answers to the inequality expressions supplied.
What is an inequality expression
An algebraic inequality is a mathematical statement that uses the inequality sign to connect an expression to a value, a variable, or another expression. One-variable inequalities can have solutions that can be graphed on a number line or on a coordinate plane.
Given the inequality expressions below:
2<-2x+6 or -18>-2x+6
Solve individually;
2 < -2x + 6
2- 6 < -2x
-4 < -2x
-2x > -4
x < 4/2
x <2
For the inequality -18>-2x+6
-18 - 6 > -2x
-24 > -2x
-2x < -24
x > 24/2
x > 12
Hence the solution to the given inequality expressions are x < 2 and x > 12
Learn more on inequality here: https://brainly.com/question/11613554
#SPJ1
2x-y + 2z = 6
3x+2y-z = 4
4x + 3y - 3z = 1
Answer:
Step-by-step explanation:
PLEASE HELP! I WILL NAME YOU THE BRAINLIEST! PLEASE PLEASE PLEASE!
Write the point-slope form of the equation of the line with slope −7/4 that passes through the point (−9, 2).
WORK DOES NOT NEED TO BE SHOWN!
A. y + 2= −7/4(x − 9)
B. y − 9= −7/4(x + 2)
C. y + 9 = −7/4(x − 2)
D. y − 2 = −7/4(x + 9)
Answer: D. Y-2 = -7/4(X+9)
Which of these are equivalent to -11/-4? Choose ALL that apply.
-11 / 4
11 / (-4)
-11 / (-4)
-11/4
11/-4
-11/-4
The equivalent fraction for the given fraction -11/-4 is -11/(-4) and -11/-4.
Fraction.
Fraction means a number expressed as a quotient, in which a numerator is divided by a denominator.
Given,
Here we have the fraction -11/-4.
Now, we have to find the equivalent fraction of this fraction.
In order to find the equivalent fraction, we have to identify that the given term is reduceable or not.
If it is reduceable, then we have to simplify it to get the equivalent fraction.
But here the given fraction -11/-4 is not reduceable.
So, the next thing we have to do is to find the sign equivalent value for this one.
In the given fraction both the numerator and the denominator are in negative sign.
So, the equivalent fraction, must have both positive or both negative one.
Therefore, the equivalent fraction are -11/(-4) and -11/-4.
To know more about Fraction here.
https://brainly.com/question/10354322
#SPJ1
Write 3 x √3 as a single power of 3
Answer:
[tex]3^{1.5}[/tex]
Step-by-step explanation:
[tex]3 = 3^1[/tex]
[tex]\sqrt{3} = x^{0.5}[/tex]
[tex]3*\sqrt{3} = 3^{1} * 3^{0.5} = 3^{1 + 0.5} = 3^{1.5}[/tex]
Tim’ mom filled the ga tank in her SUV and pent $72. 00 for 22. 5 gallon of unleaded gaoline. What i the contant of proportionality that relate the cot in dollar, y, to the number gallon of unleaded gaoline, x?
The constant of proportionality on this case is 3.2
What is constant of proportionality?
The ratio between any two given values that establishes what is referred to as a proportional relationship is the constant of proportionality.
Main body:
Total amount spent by Mom = $ 72
total gallon bought = 22.5
So constant of proportionality can be found by finding value of 1 gallon of gasoline, which can be found by dividing as follows,
Price of 1 gallon = total spent/ total gasoline bought
= 72/22.5
= 3.2
Hence constant of proportionality is 3.2.
To learn more constant of proportionality click on the link below
https://brainly.com/question/28413384
#SPJ4
a family is walking toward their home, which is in an apartment building 123 feet tall. they are walking at a rate of 5 ft/sec. how fast is the distance to the top of the building changing when they are 60 feet from the base of the building?
The distance to the top of the building changing when they are 60 feet from the base of the building is 2.19 ft/s.
In the given question we have to find how fast is the distance to the top of the building changing when they are 60 feet from the base of the building.
A family is walking toward their home, which is in an apartment building 123 feet tall.
They are walking at a rate of 5 ft/sec.
So according to the given statement diagram is
In the diagram x represent base and s represent the distance.
Using the Pythagorean theorem to find the value of s.
So the equation should be
[tex]s^2=x^2+(123)^2[/tex]........................(1)
From the question, x=60 feet
Now putting the value
[tex]s^2=(60)^2+(123)^2[/tex]
[tex]s^2[/tex] = 3600+15129
[tex]s^2[/tex] = 18729
s = 136.85
Differentiate equation 1 with respect to t using the power rule then solve the expression for ds/dt
2s ds/dt=2x dx/dt+0
2s ds/dt= 2x dx/dt
Divide by 2s on both side, we get
ds/dt= x/s dx/dt.......................(2)
They are walking at a rate of 5 ft/sec.
So dx/dt=5
Putting the value in the equation 2
ds/dt=60/136.85 ×5
ds/dt=0.438×5
ds/dt=2.19 ft/s
The distance to the top of the building changing when they are 60 feet from the base of the building is 2.19 ft/s.
To learn more about speed link is here
brainly.com/question/12291413
#SPJ4
graph the equation. y=-4(x+2)^2-1
Hope this helps you with your question.
Answer:
Step-by-step explanation:
I did it on a graphing app
From a sample with n=40, the mean duration of a geyser's eruption is 3.35 minutes and the standard deviation is 0.79 minutes. Using Chebychev's Theorem, determine at least how many of the eruptions lasted between 1.77 and 4.93 minutes.
75% of the eruptions lasted between 1.77 and 4.93 minutes.
Chebyshev's Theorem calculates the proportion of observations that are within a given number of standard deviations of the mean. This theorem is applicable to many different probability distributions. Chebyshev's inequality is another name for Chebyshev's theorem.
According to Chebyshev’s theorem, the proportion of the data lying within k standard deviations of the mean is always at least 1 – 1/k^2, where k>1.
Given
Mean = 3.35
SD = 0.79
Mean – 1*SD = 3.35 – 1*0.79
= 3.35 – 0.79
= 2.56
Mean + 1*SD =3.35 + 1*0.79
= 3.35 + 0.79
= 4.14
Mean – 2*SD =3.35 – 2*0.79
= 3.35 – 1.58
= 1.77
Mean + 2*SD =3.35 + 2*0.79
= 3.35 + 1.58
= 4.93
Here, we have k = 2
For k = 2,
= 1- (1/k2)
= 1- (1/(2)2
= 1- ¼
= ¾
at least ¾ or 75% of all values lie within 2 standard deviations of the mean.
Therefore 75% of the eruptions lasted between 1.77 and 4.93 minutes.
To learn more about Chebyshev's Theorem visit
https://brainly.com/question/28482338
#SPJ1
1. Choose the correct answer.
Which theorem or postulate could be used to prove the congruence of the pair of triangles?
Answer:
(d) HA
Step-by-step explanation:
You have two right triangles with the hypotenuse and one angle marked as congruent. You want to know the applicable theorem for claiming the triangles are congruent.
Right triangle congruenceWhen two triangles are known to be right triangles, the known angle is opposite the longest side (hypotenuse), and the two legs are the sides that form that known angle. Hence, some special theorems can be invoked for right triangles:
LA — leg, angle; equivalent to ASA
LL — leg, leg; equivalent to SAS
HA — hypotenuse, angle; equivalent to AAS
HL — hypotenuse, leg; no equivalent for non-right triangles
ApplicationThe given triangles have the hypotenuse (H) and an acute angle (A) marked, so the HA theorem can be used to prove congruence.
__
Additional comment
The HL condition described above refers two two consecutive sides and the angle not between them (SSA). This set of descriptors will create a unique triangle if and only if the angle is opposite the longest side. In general, that will not be the case, but it is guaranteed to be the case for a right triangle.
Keilantra is working two summer jobs, making $12 per hour lifeguarding and $6 per
hour walking dogs. Last week Keilantra worked a total of 11 hours and earned a total
of $108. Graphically solve a system of equations in order to determine the number of
hours Keilantra worked lifeguarding last week, x, and the number of hours Keilantra
worked walking dogs last week, y. Graph the problem
She has to do at least 8.6 hours walking (and then 7.5 hours dog walking) for the minimum of $80 earning
Keilantra is working two summer jobs, making $12 per hour lifeguarding and $6 per hour walking dogs. Last week Keilantra worked a total of 11 hours and earned a total of $108.
x = number hours dog walking
y = number hours Lifeguarding
x + y <= 11
12x + 6y >= 80
The solution is the common area below the first line and above the second line.
The first line is above the second line (due to the y-intercept of 11 vs. 8) until the crossing point.
for the crossing point we use the regular equations :
from the first we get
x = 11 - y
using this in the second
12×(11 - y) + 6y = 80
132 - 12y + 6y = 80
6y = 52
y = 52/6 = 26/3 = 8.6
x = 11 - y = 11 - 8.6 = 2.4
So, she has to do at least 8.6 hours lifeguarding (and then 7.5 hours dog walking) for the minimum of $80 earning, all the way up to the maximum of 11 hours lifeguarding (and 0 dog walking).
Hence the answer is she has to do at least 8.6 hours lifeguarding (and then 7.5 hours dog walking) for the minimum of $80 earning.
To learn more about equations click here https://brainly.com/question/22688504
#SPJ9
What does mean in math.
Answer:
Its the average of the numbers, and its the sum of all values divided by the total number of values.
Answer:
mean median and mode song rap helps me remember
A fish is swimming at a constant rate towards the ocean floor. The equation y = -5x – 9 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming. Which statement best describes the depth of the fish, given this equation? Answer
The statement best describes the depth of the fish is that from starting position of 9 meters below sea level, the fish is descending 5 meters per second
How to determine the statement that best describes the depth of the fish?
In order to know which statement best describes the depth of the fish, we have to first understand what the equation means:
Given: the equation y = -5x – 9
This can be likened to the equation of a straight line, which is of the form y =mx +c,
where m is the slope and c is the y-intercept
Comparing the given equation with the equation of a line :
y = -5x – 9
Slope(m) = -5 and y-intercept(c) = -9
The y-intercept represents the starting while the slope is the rate of descend
Therefore, what this means is that from starting position of 9 meters below sea level, the fish is descending 5 meters per second.
Learn more about equation of a line on:
brainly.com/question/12626026
#SPJ1
The shop teacher wrote down how many picture frames the students made last week.
Making picture frames
******
xxxx-
x
xx
ххххххх
0 1 2 3
4
Picture frames made
How many students made at least 3 picture frames?
students
9 students made at least 3 picture frames.
What is Box- whisker plot?An illustration of variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data on the same graph.
Given:
The plot shows picture frames made by students last week.
Number of Frames Number of students
0 6
1 4
2 1
3 2
4 7
So, the students made at least 3 picture frames
= 2+ 7
= 9
Hence, 9 students made at least 3 picture frames.
Learn more about box plot here:
https://brainly.com/question/1523909
#SPJ1
The solution to the inequality −17 + 2x ≤ 19 − 4x is x ≤ k for some number k. What is k?
The solution to the inequality −17 + 2x ≤ 19 − 4x is x ≤ k. The value of k is 6.
How to solve inequality?In mathematics, the relationship between two values that are not equal is defined by inequalities.
Therefore, the inequality can be solved as follows:
−17 + 2x ≤ 19 − 4x is x ≤ k .
Let's solve for k
−17 + 2x ≤ 19 − 4x
subtract 2x from both sides of the inequalities
−17 + 2x ≤ 19 − 4x
−17 + 2x - 2x ≤ 19 − 4x - 2x
- 17 ≤ 19 - 6x
Subtract 19 from both sides of the equation
- 17 ≤ 19 - 6x
- 17 - 19 ≤ 19 - 19 - 6x
- 36 ≤ - 6x
divide both sides by -6
- 36 / -6 ≤ - 6x / -6
6 ≥ x
x ≤ 6
Therefore, k = 6
learn more on inequality here: https://brainly.com/question/2382055
#SPJ1
Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −33? flvs
Isolating the variable x we will get the simplified inequality (which is equivalent to the given one)
3 < x ≤ 5.2
How to get an equivalent inequality?Sadly, the options are not given, so we can get a trivial equivalent inequality which is the one where the variable x is isolated, and it gives the solution set for the inequality.
So let's isolate the variable:
-22 > -5x - 7 ≥ −33
First, we can add 7 everywhere, so we get:
-22 + 7 > -5x - 7 + 7 ≥ −33 + 7
-15 > -5x ≥ −26
Now we can divide everywhere by -5, because it is a negative number, it changes the direction of the symbols.
-15/-5 < -5x/-5 ≤ -26/-5
3 < x ≤ 5.2
That is the equivalent inequality, and the solution set is:
(3, 5.2]
Learn more about inequalities:
https://brainly.com/question/24372553
#SPJ1
To rewrite y(t)=2*sin 4pi t+5*cos 4pi t in the form y(t)=Asin (wt+theta), solve for theta.
I will report if you do not answer
The required standard equation is given as y(t) = 5.39 sin(4πt + 0.379π).
Given that,
To rewrite y(t)=2×sin 4pi t+5×cos 4pi t in the form y(t)=Asin (wt+Ф).
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
Here
We know that.
Asin(α + β) = Asinαcosβ + Acosαsinβ,
Comparing it with the given equation,
Asinα = 5
Acosα = 2
Taking the ratio of the equation,
sinα/cosα = 5/2
tanα = 5/2
α = 0.379π
Now,
Asin0.379π = 5
A = 5 / sin0.379
A = 5.39
Now,
The standard form equation is given as, y(t) = 5.39 sin(4πt + 0.379π) where ω = 4π.
Thus, the required equation is given as y(t) = 5.39 sin(4πt + 0.379π).
Learn more about trigonometry equations here:
brainly.com/question/22624805
#SPJ1
help plssssssssss i want it fast
Answer:
x = 4
Step-by-step explanation:
assuming you require to find the value of x
Δ ADE and Δ ACB are similar ( by the AA postulate )
then the ratios of corresponding sides are in proportion, that is
[tex]\frac{AD}{AC}[/tex] = [tex]\frac{AE}{AB}[/tex] ( substitute values )
[tex]\frac{x}{x+x-2}[/tex] = [tex]\frac{x+2}{x+2+x -1}[/tex]
[tex]\frac{x}{2x-2}[/tex] = [tex]\frac{x+2}{2x+1}[/tex] ( cross- multiply )
(2x - 2)(x + 2) = x(2x + 1) ← expand left side using FOIL
2x² + 2x - 4 = 2x² + x ( subtract 2x² + x from both sides )
x - 4 = 0 ( add 4 to both sides )
x = 4
Late assignment. Help ?
The rigid transformation of the pre-image ΔABC, that produces the image ΔDEF is option E as follows;
E. [tex]R_{(90^{\circ},\,(0,\, 0))}[/tex]
What is a rigid transformation?A rigid transformation is one in which the distances between each pair of points on the pre-image is preserved on the image, such that the pre-image and the image have the same size.
The coordinates of the vertices of ΔABC are;
A(-3, -3), B(-1, -4), C(-3, -4)
The coordinates of the vertices of ΔDEF are; D(-3, 3), E(-4, 1), F(-4, 3)
The formula for the rotation of a point (x, y) 90° clockwise about the origin is presented as follows;
Pre-image point [tex]{}[/tex] (Rotation 90° clockwise) Image point after rotation
(x, y) [tex]{}[/tex] ⇒ [tex]{}[/tex] (-y, x)
The points in the image ΔDEF of pre-image triangle ΔABC which corresponds to points on ΔABC are;
Vertex A in triangle ΔABC corresponds to vertex D on triangle ΔDEF
Vertex B in triangle ΔABC corresponds to vertex E on triangle ΔDEF
Vertex C in triangle ΔABC corresponds to vertex F on triangle ΔDEF
The transformation of (x, y) ⇒ (-y, x), (which is the transformation of a 90° clockwise rotation about the origin), on the vertices of ΔABC are;
A(-3, -3) [tex]\underset \longrightarrow {R_{(90^{\circ}, (0, 0)}}[/tex] D(-3, 3)
B(-1, -4) [tex]\underset \longrightarrow {R_{(90^{\circ}, (0, 0)}}[/tex] D(-4, 1)
C(-3, -4) [tex]\underset \longrightarrow {R_{(90^{\circ}, (0, 0)}}[/tex] F(-4, 3)
Therefore, the triangle ΔDEF can be obtained from the triangle ΔABC by a rotation of 90° clockwise about the origin.
The correct option is; E [tex]R_{(90^{\circ}, (0, \,0))}[/tex]
Learn more about rotation transformation in Euclidean geometry here:
https://brainly.com/question/28874044
#SPJ1
math homework trigonometry pls help
The area of the given triangle is 21.33 cm²
What is Heron's formula?This formula is understood for its simple calculation supporting the length of three sides of a triangle, if the length of three sides are a, b, and c, then its semi-perimeter is. s=a+b+c2. Thus, the area is given by,
A=√s(s−a)(s−b)(s−c)
Given a triangle, with lengths 8 cm, 6 cm and 12 cm
Perimeter = 8+6+12 = 26 cm
Semi perimeter = 26/2 = 13 cm
Area = √s(s−a)(s−b)(s−c)
Area = √13(13-8)(13-6)(13-12)
Area = √455
Area = 21.33 cm²
Hence, The area of the given triangle is 21.33 cm²
For more references on Heron's formula, click;
https://brainly.com/question/20934807
#SPJ1
Jerry rolled a fair number cube 24 times. Which of the following is the most reasonable outcome ?
F. Jerry rolled number 6 twelve times.
G. Jerry rolled a 2 or a 4 twelve times.
H.Jerry rolled each number in the cube six times
J. Jerry rolled an odd number twelve times
Answer:
h
Step-by-step explanation:
i did the quize good luck
Write an equation in standard form that has a y-intercept at (0,-3) and also contains the point (4,5)
Answer: Write an equation in standard form that has a y-intercept at (0,-3) and also contains the point (4,5)
Step-by-step explanation:
Convert meters to centimeters. 4.5 m = X(
I ment middle not high...
Answer:
450 centimeters
Step-by-step explanation:
We know that,
1 meter = 100 centimeters
so 4.5 meters = 4.5*100 centimeters
=450 centimeters
question is on image
Answer:
i dont see image..
Step-by-step explanation:
how can we find A? .
no question;;;;;;;;;;;;;;;;;;;;;;
X=
58
43
71
no bots fr
Answer:
A
Step-by-step explanation:
please help!!!!! i need an answer asap
Answer: (3,2)
Step-by-step explanation:
[tex]7x-7y=7\\\-4x-7y=-26[/tex]
subtract second equation from the first
[tex]11x=33\\x= 3[/tex]
plug x = 3 back into first equation
[tex]7(3) - 7y = 721 - 7y = 7-7y = -14\\y = -2[/tex]
Answer:
x=3 y=2
Step-by-step explanation:
Please help me please
The tick marks on the two sides mean those two lengths are the same, which also means the angles opposite them are the same measure. (AKA It's an isosceles triangle.)
Since the two missing angles are equal, we can solve:
28 + x + x = 180
to find that x = 76.
The two angles are 76 degrees.
And since LM = LN, we know LN = 18 in.