In a direct variation, y = -95 when x = -19. Write a direct variation equation that shows therelationship between x and y.
Answers
The form of the direct variation equation is
\(y=kx\)Where k is the constant of variation
To find k Substitute x by -19 and y by -95
\(\begin{gathered} -95=k(-19) \\ -95=-19k \end{gathered}\)Divide both sides by -19 to find K
\(\begin{gathered} \frac{-95}{-19}=\frac{-19k}{-19} \\ 5=k \end{gathered}\)Substitute the value of k in the form of the equation, then
\(y=5x\)The equation of the direct variation is y = 5x
Related Questions
(-14) + 22 + 8 + (-16)
Answers
Answer:
0
Step-by-step explanation:
-14+22=8
8+-16=-8
-8+8=0
Answer:
0
Step-by-step explanation:
(-14) + 22 + 8 + (-16)
0
So 0is the answer
Question Progress
Joe summarised this message
Homework Progress
22/
Raise more than £400
and run the
Ingleby marathon for free.
Do a similar thing for this message
Raise at least £900
and run the
Angley marathon for free.
Like this
Use A. again
Run the Ingleby marathon
for free if
A> £400
Run the Angley marathon
for free if
Answers
Run the Ingleby marathon for free if A ≥ £900
Given data
a. Joe raise more than £400 and run the Ingleby marathon for free
Run the Ingleby marathon for free if A> £400
b. Joe raise at least £900 and run the Ingleby marathon for free
Run the Ingleby marathon for free if __________
How to find the completion of the statementThe first part of the statement gives the clue and it rewritten as
a. Raise more than £400 and run the Ingleby marathon for free
Run the Ingleby marathon for free if A> £400
more than £400 is represented as A> £400
The statement means amount greater that £400 and it is written mathematically as A> £400
The second statement is done as follows:
b. Joe raise at least £900 and run the Ingleby marathon for free
Run the Ingleby marathon for free if __________
In this case Joe runs the marathon if the amount is of the that is at least £900, which implies amount of 900 and above or simply put: amount of 900 or more than 900 .
This represented mathematically as: A ≥ £900
Hence we say Run the Ingleby marathon for free if A ≥ £900
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Complete question
The complete question is attached
There were 5 winners in a lottery drawing. The prize was $12 million. What is each winner's share of the prize?
Answers
=
2.4
i need help can someone help me right now!!!!!!
Answers
(a) | BD | bisects | AC | (reason : Given)
(b) |AD| ≅ |CD| (reason: |BD| is the perpendicular bisector of segment AC).
(c) ∠ABD ≅ ∠CBD (reason: | BD | bisects angle ABC)
(d) ∠A ≅ ∠ C (reason: complementary angles of a right triangle)
What is the complete proof of the congruent angles?Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles.
From the first statement, we will complete the flow chart as follows;
line BD bisects line AC (reason : Given)
line AD is congruent to line CD (reason: line BD is the perpendicular bisector of segment AC)
Angle ABD is congruent to angle CBD (reason: line BD bisects angle ABC)
Angle A is congruent to angle C (reason: angle ABD = angle CBD, and both triangles ABD and CBD are right triangles).
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What percentage of 4m is 20m
Answers
Answer:500%
Step-by-step explanation:
The solution is in the file below
The answer is 20%
In the similar triangles below , what is the measure of D
Answers
In the given similar triangles below, we have to find the measure of Dwrite. Triangle 1, ABC, is similar to Triangle 2, DEF. The two triangles are similar because their corresponding angles are congruent and their sides are proportional.
In order to find the measure of Dwrite, we can use the concept of proportionality. The sides of similar triangles are proportional to each other.
This means that if we know the ratio of the sides of one triangle, we can use that ratio to find the corresponding sides of the other triangle. We can use this property to find the value of Dwrite.
To start, let's write down the ratio of the sides of Triangle 1 and Triangle 2. We can choose any two corresponding sides to do this, but we'll choose AB and DE because they are easiest to measure: AB/DE = 6/8.5We know that the measure of AB is 6, so we can solve for the measure of DE: DE = AB x (DE/AB)DE = 6 x (8.5/6)DE = 8.5Now we know that the measure of DE is 8.5.
We can use this to find the measure of Dwrite. We know that DE and Dwrite are corresponding sides of Triangle 2 and Triangle 1, respectively.
So we can write a proportion using the ratio of DE to Dwrite: DE/Dwrite = 8.5/xWe know that DE is 8.5, so we can substitute that in:8.5/Dwrite = 8.5/Now we can solve for x by cross-multiplying:8.5x = 8.5Dwrite = 1Therefore, the measure of Dwrite is 1.
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Don Glover borrowed $16,000 for 230 days and paid $587.79 in simple interest on the loan. What annual simple interest rate did Don pay on the loan?
Answers
Answer:
Try this equation
Step-by-step explanation:
If we wish the rate, we can find it by
r = I / Pt
Here we have
r = 587.79/ (16000)(250/365) =
The annual simple interest rate is 5.8%
How to determine the rate?The given parameters are:
Principal, P = $16,000Interest, I = $587.79Time = 230 daysConvert days to years
Time = 230/365 years
The annual simple interest rate is calculated using:
I = PRT
This gives
587.79 = 16000 * R * 230/365
Solve for R
R = 0.058
Express as percentage
R = 5.8%
Hence, the annual simple interest rate is 5.8%
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The table of values represents a proportional relationship.
What is the constant of proportionality in the relationship, written as an improper fraction (fraction greater than one)?
X Y
2 3
6 9
Answers
The constant of proportionality in the relationship is 3/2
How to determine the constant of proportionality in the relationshipFrom the question, we have the following parameters that can be used in our computation:
X Y
2 3
6 9
The above represents the table of values
Since the data on the table of values represents a proportional relationship, then the constant of proportionality is
Constant of proportionality = Y/X
So, we have
Constant of proportionality = 3/2
Hence, the constant of proportionality is 3/2
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Tom has a water tank that holds 5 gallons of water. tell me this is water for my footing to fill six bottles they each holds 16 ounces and a picture that holds one over 2 gallon how many ounces of water left in a water tank?
Answers
288 ounces of water are left in the water tank.
What is arithmetic?
Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots
Here, we have
Given: Tom has a water tank that holds 5 gallons of water. tell me this is water for my footing to fill six bottles they each hold 16 ounces and a picture that holds one over 2 gallons.
1 gallon = 128 ounces, 2 gallon = 256 ounces
6 bottles × 16 ounces = 96 ounces
2 gallon + 96 ounces = 256 + 96 ounces = 352 ounces
5 gallon = 5 × 128 = 640 ounces
= 640 - 352 = 288 ounces
Hence, 288 ounces of water are left in the water tank.
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Three construction companies have bid for a job. Max knows that the two companies with which he is competing have probabilities 1/3 and 1/9, respectively, of getting the job. What is the probability that Max will get the job?
Answers
Answer:
0.5555 = 55.55% probability that Max will get the job.
Step-by-step explanation:
What is the probability that Max will get the job?
The sum of all probabilities is 100% = 1, so, considering Max's probability as x:
\(x + \frac{1}{3} + \frac{1}{9} = 1\)
\(\frac{9x + 3 + 1}{9} = 1\)
\(9x + 4 = 9\)
\(9x = 5\)
\(x = \frac{5}{9}\)
\(x = 0.5555\)
0.5555 = 55.55% probability that Max will get the job.
The max has probability of getting this job is x= 0.5555 and 55.55%
Suppose that ;
Max has probability of getting this job is = x
and other two companies have probability to get job is \(\frac{1}{3} or \frac{1}{9}\).
Sum of the probability have bid a job is 100% which is equal to 1.
The sum of the probabilities in a probability distribution is always 1. A probability distribution is a collection of probabilities that defines the likelihood of observing all of the various outcomes of an event or experiment. Based on this definition, a probability distribution has two important properties that are always true:According to given question ;
Sum of all the companies having probability to get the job = 1
\(x + \frac{1}{3} + \frac{1}{9} = 1\)
\(\frac{9.x+1.3+1.1}{9} = 1\\9x+3+1 = 9.1\\9x+4 =9\\9x = 9-4\\9x = 5\\x = \frac{5}{9}\)
x = 0.5555
The Max has probability of getting this job is x= 0.5555 or 55.55%
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B. Using your answer in letter a or write the equation of the line in the form Ax + By = C
Answers
Answer:
Step-by-step explanation:
(1, 5.5) ; (2, 9)
Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\)
\(= \frac{9-5.5}{2-1}\\\\=\frac{3.5}{1}\\\\= 3.5\)
= 7/2
m = 7/2 ; (2 , 9)
y - y1 =m(x -x1)
\(y - 9 = \frac{7}{2}(x- 2)\\\\y - 9 = \frac{7}{2}x - \frac{7}{2}*2\\\\y -9 = \frac{7}{2}x - 7\\\\y = \frac{7}{2}x - 7 + 9\\\\y = \frac{7}{2}x + 2\)
Multiply the equation by 2
\(2y = 2*\frac{7}{2}x + 2 *2\\\\2y = 7x + 4\\\\7x - 2y = -4\\\)
Find the area of the figure. Type your answer as just a number, without units.
Answers
The area of the polygon is 696
What is area of polygon?A polygon is any closed curve consisting of a set of line segments connected such that no two segments cross.
The area of a polygon is is expressed as
A = 1/2 × p × a
where p is the perimeter and a is the apothem
perimeter = n × s
where n is the number of side and s is the side length.
P = 8 × 12 = 96
A = 1/2 × 96 × 14.5
A = 1392/2
A = 696
Therefore the area of the polygon is 696
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8-2.3+7 .......................................................................................................................................
Answers
Answer:
15 lskznjzhzjsbzgjsbzjzbshxgxjzbzjsgzhanabzgkzvxjsjs
Answer:
8 - 2 x 3 + 7 = 9
Step-by-step explanation:
I used a calculator, pls let me know if im incorrect
Simplify −0.6(−6.3). −3.78 −3.63 3.63 3.78
Answers
Answer:
3.78
Step-by-step explanation:
a negative multiplied by a negative is a positive. 0.6 multiplied by 6.3 equals 3.78
Answer:
3.78
Step-by-step explanation:
5x - 8 + {6x – [3(x + 8) + 6]} = 6(x + 5)
Answers
Answer:
x=28
Step-by-step explanation:
PEMDAS
parenthesis first...
5x-8+(6x-3x-24+6)=6x+30 *remember to distribute the negative sign*
5x-8+(3x-18)=6x+30
8x-26=6x+30
2x=56
x=28
A balloon is 4 ft above the ground. It is released and floats up 3 ft
every second. Write an equation to model the height of the balloon
as a function of time in seconds. Write your answers in the blanks.
Answers
Answer:
4+(3 times x)= height of balloon. x = seconds
Step-by-step explanation:
I hope this helps you! :D
Find the pattern. What numbers come next?
61, 54, 47, 40,
Answers
Answer:
33
Step-by-step explanation:
It's decreasing by 7
The relation is the descending the series by 7 and the next term is 33.
We have to determine, find the pattern and what numbers come next
We have given that, 61, 54, 47, 40.
What is the series?
A series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other.
61-54=7
54-47=7
47-40=7
So the next term is
40-7=33
Therefore the relation is the descending the series by 7 and the next term is 33.
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Over the past few years Michael has increased his fee from $5 from mowing lawn to $11 per hours what percent did Michael fee increase
Answers
Answer:
120%
Step-by-step explanation:
Hope this helps
I need help asap please!!!
Answers
The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and
What is sine of angles?he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle. It is defined as the length of the opposite side divided by the length of the hypotenuse
The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360
2∅ 2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720
sin 2∅ = sin0 = 0; Sin90=1; sin180=0; sin240= -0.8660; sin270 = -1;
Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397
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2,239 ÷ 7
Division compatible numbers
Answers
Answer:the answer is 319.857 and round to 320
Step-by-step explanation:
Find the length of each arc .
Answers
Answer:
A. \( 12\pi \) mi
Step-by-step explanation:
Length of arc = r∅
Where,
Radius (r) = 16 mi
Angle in radians (∅) = \( \frac{3\pi}{4} \)
Plug in the values
Length of arc = \( 16*\frac{3\pi}{4} \)
Length of arc = \( \frac{16*3\pi}{4} \)
Length of arc = \( \frac{4*3\pi}{1} \)
Length of arc = \( 12\pi \)
Hi I need some help answering this question
Answers
Answer:
What's the question?
Resuelve el siguiente problema aplicando las estrategias de solución de problemas:
• La suma de dos números es 20 y su diferencia es de 4. Halla los números.
Answers
Numero mayor = x
Numero menor = 20 - x
x -( 20 - x) = 4
x - 20 + x = 4
2x = 4 +20
x = 24/2
x = 12
El numero mayor es 12
El numero menor es = 20 - 12 = 8
El producto es = 12*8 = 96
What is [ 8- (2/3) ^2] / ( 5 1/3 - 4 2/3 + 1 1/6 x 2)
Please Help!
Answers
Answer: To solve this expression, we first need to simplify the terms in the denominator:
5 1/3 - 4 2/3 + 1 1/6 x 2
We can convert each fraction to a mixed number:
5 1/3 = 5 + 1/3
4 2/3 = 4 + 2/3
1 1/6 x 2 = 2 x 1/6 + 2 = 2 + 1/3
Now we can perform the subtraction:
(5 + 1/3) - (4 + 2/3) + (2 + 1/3)
= 5 + 1/3 - 4 - 2/3 + 2 + 1/3
= 5 + 1/3 - 4 + 2 + 1/3 + 1/3
= 7
So the denominator simplifies to 7.
Next, we simplify the numerator:
8 - (2/3)^2
We can first square the fraction:
(2/3)^2 = 4/9
Now we can perform the subtraction:
8 - 4/9
= 8 - 4/9
= 8 x 9/9 - 4/9
= 72/9 - 4/9
= 68/9
So the numerator simplifies to 68/9.
Finally, we divide the numerator by the denominator:
68/9 ÷ 7 = 9.71
So, the expression simplifies to 9.71.
Step-by-step explanation:
Solve this question please
Answers
Answer:
e = 1/2
Step-by-step explanation:
\(\frac{1}{2}e = \frac{1}{4}\\\)
multiply both sides by 2
\(e = 1/2\)
Explanation: 1/2*1/2=1/4
Can someone please give me the answer for brilliant What is the volume of the right rectangular prism?
Answers
Answer:
\( 148 \frac{3}{4} \: {in}^{3} \)
Step-by-step explanation:
volume of the right rectangular prism
\( = lwh \\ \\ = 10 \times 4 \frac{1}{4} \times 3 \frac{1}{2} \\ \\ = 10 \times \frac{17}{4} \times \frac{7}{2} \\ \\ = \frac{595}{4} \\ \\ = 148 \frac{3}{4} \: {in}^{3} \)
Answer: The volume is 148 3/4 in3.
Step-by-step explanation:
V= l*w*h
V= 10* 4 1/4* 3 1/2
V= 148 3/4
Anita said, "I'm leaving school today at 1:15."
Frank replied, "I was able to fool the nurse into letting me leave early once, but I got in trouble when she found out I was faking.
What form of punctuation is missing?
A.
quotation marks
B.
There is no missing punctuation.
C.
a semicolon
D.
a colon
Answers
Answer:
A
Step-by-step explanation:
The quotation mark is missing at the very end of the last quote right after:
I was faking.
Answer:
i think A
Step-by-step explanation:
The quotation mark is missing at the very end
Which description can be written as the expression StartFraction n Over 4 EndFraction minus 13? Joel wants to find the quotient of a number and four, minus thirteen. Joel wants to find the product of thirteen and the quotient of a number and four. Joel wants to find the difference of thirteen and the quotient of a number and four. Joel wants to find the sum of a number and four, minus thirteen.
Answers
Answer:
A
Step-by-step explanation:
Answer:
answer is (A)
Joel wants to find the quotient of a number and four, minus thirteen.
Step-by-step explanation:
edge 2022
Complete the indicated operation in the form of a +bi(3-4i)^2
Answers
Explanation:
The question is given below as
\((3-4i)^2\)Concept:
Apply the perfect sqaure formula below
\((a-b)^2=(a-b)(a-b)\)By applying the concept, we will have
\(\begin{gathered} (3-4\imaginaryI)^2=(3-4i)(3-4i) \\ (3-4i)(3-4i)=3(3-4i)-4i(3-4i) \\ 3(3-4i)-4i(3-4i)=9-12i-12i+16i^2 \\ recall:i^2=-1 \\ 9-12i-12i+16i^2=9-24i+16(-1) \\ 9-16-24i=-7-24i \end{gathered}\)Hence,
The final answer is
\(\begin{equation*} -7-24i \end{equation*}\)y=9/4×2
sketch the graph of f and f on the same set of axes
Answers
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
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