Answer: 5
Step-by-step explanation:
From the question, we are informed that "x varies inversely with v". This means that
x = k/v
where,
k is a constant
We have to find k when x=35 when v=3
x = k/v
35 = k/3
k = 35 × 3
k = 105
Therefore when v = 21, x will be:
x = k/v
x = 105/21
x = 5
Simplify the expression: Ava simplified the expression and said that the value is -1. Is Ava's solution correct? If not, find and explain her mistake. Give the correct solution.
Answer:
Ava's solution was not correct.
The correct solution is 1.
Step-by-step explanation:
The expression Ava was to simplify(as seen in the attachment) is:
[tex]\dfrac{(2x-3y)^2}{(3y-2x)^2}[/tex]
[tex]3y-2x=-2x+3y=-(2x-3y)[/tex]
On substitution of the result above into the denominator, we have:
[tex]\dfrac{(2x-3y)^2}{(-(2x-3y))^2}\\=\dfrac{(2x-3y)^2}{(-1)^2(2x-3y)^2}\\\\\text{Canceling out the like term} (2x-3y)^2, \text{we have:}\\=\dfrac{1}{(-1)^2}\\\\=1[/tex]
Therefore:
Ava did not take the square of the negative sign. This led her to have a negative result.
Ava's solution was not correct. The correct solution is 1.Answer:
Ava correctly factored the denominator:
(3y - 2x) = [-(2x - 3y)] 2
But when she took the negative outside the braces, she did not keep the (-1) squared.
The correct solution is 1.
Step-by-step explanation:
used this and it was correct
Pls answer fast A 4-column table with 4 rows. Column 1 is labeled Principal (dollars) with entries 3,300, 3,300, 3,300, 3,300. Column 2 is labeled Interest Rate with entries 0.045, b, 0.045, 0.045. Column 3 is labeled Years with entries 1, 3, 7, c. Column 4 is labeled Interest (dollars) with entries a, 445.50, 1,039.50, 1,188.00. Find the values to complete the table. a = b = c =
Answer:
a=148.50
b=0.045
c=8
Step-by-step explanation:
i just took the quiz on edgeunity
All the value of variables are,
a = 148.50, b = 0.05, and c = 8
Now, For the values of a, b, and c in the table, we can use the formula for simple interest:
I = Prt
where I is the interest earned in dollars,
P is the principal in dollars,
r is the interest rate per year as a decimal, and t is the time in years.
Hence, By Using this formula, we can solve for the missing values in the table as follows:
For the first row, we have
P = 3300, r = 0.045, and t = 1.
We can plug in these values and the given value of a = into the formula to solve for a:
a = Prt
a = 3300 x 0.045 x 1
a = 148.50
Therefore, a = 148.50 for the first row.
For the second row, we have P = 3300, t = 3, and I = 445.50.
We can plug in these values and solve for r:
I = Prt
445.50 = 3300 x r x 3
r = 0.05
Therefore, b = 0.05 for the second row.
For the third row, we have P = 3300, t = 7, and I = 1039.50. We can plug in these values and solve for r:
I = Prt
1039.50 = 3300 x r x 7
r = 0.045
Therefore, c = 7 for the third row.
For the fourth row, we have P = 3300, t = c, and I = 1188.00. We can plug in these values and solve for c:
I = Prt
1188.00 = 3300 x 0.045 x c
c = 8
Therefore, c = 8 for the fourth row.
Thus, we have a = 148.50, b = 0.05, and c = 8 to complete the table.
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g(x)=5-2x what is the domain of g
Answer:
all real values of x
Step-by-step explanation:
The domain of g is the values that x can take
There are no restrictions on the values that x can take
Answer:
[tex]\boxed{\mathrm{E}}[/tex]
Step-by-step explanation:
[tex]g(x)=5-2x[/tex]
The domain of a function is the set of all possible inputs for the function.
The value of [tex]x[/tex] can be all real numbers,
There are no restrictions on the value of [tex]x[/tex].
Find the number if 10% of it is m.
Answer:
'number' = 10m
Step-by-step explanation:
The ratio of m and n is 2 : 1
What is Ratio?Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.
What is percentage?The percentage is defined as the ratio expressed as a fraction of 100.The percentage is denoted by sign of %.For example, if XYZ scored 46% marks in his test, it means that he scored 46 marks out of 100. It is written as 46/100 in the fraction form and 46:100 in terms of ratio.
Given that 10% of m =20% of n
⇒ m × 10/100 = n × 20/100
⇒ m/n = (20/100)×(100/10)
⇒ m/n = (2/10)×(10/1)
⇒ m/n = 2/1
⇒ m : n = 2 : 1
Hence, the ratio of m and n is 2 : 1
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Question seems to be incomplete the correct question would be
Find the number if 10% of m is the same as 20% of n, then m:n is equal to
Can someone help please 3x-y=13 A. (6,5) B.(3,-4) C. (6,5) and (3,-4) D. neither
Answer:
C. (6, 5) and (3, -4)
Step-by-step explanation:
Given the equation 3x - y = 13, we need to figure out which points satisfy it. In order for an ordered pair to satisfy an equation, when we plug the x-coordinate in for x and the y-coordinate in for y, the equation should hold true.
Let's try with (6, 5):
3x - y = 13
3 * 6 - 5 =? 13
18 - 5 =? 13
13 = 13
Since this is true, we know that (6, 5) is indeed a solution.
Now let's try with (3, -4):
3x - y = 13
3 * (3) - (-4) =? 13
9 + 4 =?13
13 = 13
Again, since this is true, then (3, -4) must be a solution.
Thus, the answer is C.
~ an aesthetics lover
Answer: c
Step-by-step explanation:
lol
Which of the following statements could be used in the proof?
Answer:
Option (3)
Step-by-step explanation:
To prove ΔULV ≅ ΔKLY,
Statements Reasons
1). VL ≅ LY 1). Radii of a circle are equal
2). UL ≅ KL 2). Radii of a circle are equal
3). ∠ULV ≅ ∠KLY 3). Vertical angles are equal
4). ΔULV ≅ ΔKLY 4). SAS property of congruence
Therefore, property (3) given in the options will be used to prove the triangles congruent.
Study the following figure, where two concentric circles share center C.
Segment AB is a diameter of the larger circle.
Segment AB intersects a chord of the smaller circle, PQ, at a right angle at point Z.
Segment AB intersects a chord of the larger circle, MN, at a right angle at point 0.
If MO=7x-4, and NO=6x, what is the length of MN
Answer:
Length of MN = 48 units
Step-by-step explanation:
AB is the diameter of the larger circle which is perpendicular to both the chords PQ (chord of the smaller circle) and MN(chord of the larger circle).
Theorem says,
"Radius or a diameter of a circle which is perpendicular to the chord divides the chord in two equal parts."
Therefore, MO ≅ ON
m(MO) = m(ON)
7x - 4 = 6x
7x - 6x = 4
x = 4
m(MN) = m(MO) + m(ON)
= (7x - 4) + (6x)
= 13x - 4
= (13 × 4) - 4
= 52 - 4
= 48
Length of chord MN will be 48 units.
A rectangular plot measures 20 ft. By 30ft. A 3ft wide side walk surrounds it. Find the area of the side walk
Answer:
336 feet²
Step-by-step explanation:
If we have a rectangle that is 30 by 20 feet, that means the area of that rectangle would be 20 × 30 feet squared, which is 600 ft².
If there is a 3 feet sidewalk surrounding it, that means that the end of the sidewalk will extend 3 feet extra around each side of plot. Since there are two ends to one side, that means an extra six feet is added on to each dimension. Therefore, 36 × 26 are the dimensions of the sidewalk+plot. 36 × 26 = 936 ft².
To find the area of the sidewalk itself, we subtract 600 ft² from 936 ft². This gets us with 336 ft².
Hope this helped!
Which functions are even? Check all of the boxes that apply. F (x) = x Superscript 4 Baseline minus x squared f (x) = x squared minus 3 x + 2 f (x) = StartRoot (x minus 2) EndRoot f(x) = |x|
Answer:
A and D
Step-by-step explanation:
Took test on edge
The functions f(x) = x⁴ - x² and f(x) = |x| are even functions, option (A) and (D) are correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The function is:
f(x) = x⁴ - x²
To check whether the function is even or odd:
f(-x) = (-x)⁴ - (-x)²
f(-x) = x⁴ - x²
f(-x) = f(x) (even function)
Similarly for other functions:
f(-x) = x² + 3x + 2 ≠ f(x) (odd function)
f(-x) = √(-x - 2) ≠ f(x) (odd function)
f(-x) = |x| = f(x) (even function)
Thus, the functions f(x) = x⁴ - x² and f(x) = |x| are even functions, option (A) and (D) are correct.
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HELP ASAP Angle FGH is a central angle, what is the measure of FH A. 54° B. 108° C. 145° D. 216°
Answer:
A
Step-by-step explanation:
We can calculate this using circle theorems
The correct circle theorem to use here is that angle at center is 2 times angle at circumference
The angle we want to calculate here is the angle at circumference but we were given the angle at the center
So the value of the angle at the circumference would be 108/2 = 54
In AABC, AB = 3 and AC = 9. Find m28 to the nearest degree.
52
58
72
18
Answer:
72°
Step-by-step explanation:
==>Given:
∆ABC
AB = Opposite side length = 9
AC = Adjacent side length = 3
==>Required:
The measure of angle B
==>Solution:
Since ∆ABC is a right angled triangle, and we are given two sides (opposite and adjacent sides), to find m<B, we'd use the trigonometry formula tan B = Opposite/Adjacent.
Thus,
tan B = 9/3
tan B = 3
B = tan^-1(3) = 71.5650512°
<B to the nearest degree ≈ 72°
Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width. The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height. Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.
Answer:
[tex]3x^2 + 15x - 252 = 0[/tex]
Step-by-step explanation:
The volume of the prism is 252 cubic centimeters.
The volume of a rectangular prism is gotten by the formula:
V = l * w * h
where l = length
w = width
h = height
The height of the prism is 3 cm.
Let x be the width of the prism.
The length of the prism is 5 cm longer than the width.That is:
l = 5 + x
The volume of the prism is therefore:
V = (5 + x) * x * 3
[tex]=> 252 = (5x + x^2) * 3\\\\252 = 15x + 3x^2\\\\=> 3x^2 + 15x - 252 = 0[/tex]
This is the equation that models the volume of the tray in terms of x.
Answer:
Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width.
The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height.
Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.
3x^2 + 15x = 252
Is it possible for the width of the tray to be 7.5 centimeters?
no it is too large
1 point
5) Malia earns $3,567 each month. She spends $2,895 each month and
saves the rest of her money. Select the equation that represents how much
is left over that she is able to save each month.
$3,567 - $2,895 = $6,462
$3,567 + $2,895 = $6,462
0 $3,567 - $2,895 = $672
O $3,567 + $2,895 = $672
1 point
roconts equivalent fractions? *
Answer:
C
Step-by-step explanation:
She earns $3,567 and spends $2,895. That means that $2,895 is taken away from how much she earns each month. Subtraction is the correct operation, cancelling out choices B and D
$3,567 - $2,895
Now, you need to figure out the answer to the above problem. Choice C is your answer.
$3,567 - $2,895 = $672
TiME liMIt HELPPPPPPP:
There are 8 boys and 6 girls in a class. 3 boys
and 3 girls out of the class are going on a picnic.
The others are going on an education tour.
A. In how many different ways can the
picnic team be formed?
B. In how many different ways can the
education tour team be formed?
Answer:
Step-by-step explanation
There are 8 boys and 6 girls and you have to choose 3 of each to go on the picnic. You can do this by doing: 8C3 x 6C3. This equal 56 x 20. So the answer to PART A: 1120 WAYS THE PICNIC TEAM CAN BE FORMED, PART B: 1120 WAYS THE EDUCATION TOUR CAN BE FORMED
this is because if you already choose the picnic team, then the rest of the kids just go to the tour, so the answer is the same for both (1120 ways)
Answer the question in the pic...
Answer:
L''(3,2), M''(0,2), N''(0,-2), O''(3,-2)
Step-by-step explanation:
The points that you start off with are L(-4,6), M(-1,6), N(-1,2), and O(-4,2), and when you reflect the rectangle across the y-axis, you will have (4,6), (1,6), (1,2), and (4,2). Now you can translate your rectangle down four and once to the left, which will give you L''(3,2), M''(0,2), N''(0,-2), O''(3,-2).
–6x + y = –21
2x − 1
3
y = 7
w much a quantity changes
Which three statements are true as they relate to supply and demand?
As supply rises, prices generally decrease.
As demand decreases, costs generally increase.
As supply decreases, prices increase
The average rate of change describes
As demand rises, the price of the product decreases.
te increases.
Answer:
Statements 1,3 and 4 are correct
Step-by-step explanation:
We want to select the three correct statements as related to demand and supply.
Statement 1 is correct
An increased supply would lead to saturation of the market with the product for normal goods. The saturation of the market will surely make the price of the goods in the market decrease
Statement 2 is incorrect
A decrease in demand should drive down the prices of commodities for normal goods
Statement 3 is correct
A decrease in supply means there are less goods in the market. This makes consumers want to fight more to get their share in the market which thus forces up price of these goods
Statement 4 is correct
An increase in demand would make suppliers increase the price they place on their commodities.
Arnold records the number of chirps per minute (x) that crickets make
at different temperatures (y).
He determines that the association is linear and that the line of best fit
is y=4x +40
What is the interpretation of the slope and y-intercept of this equation?
Answer:
X=0 the temperatures is 40
Step-by-step explanation:
y=1/4x +40
x=0
y=1/4*0+40
y=0+40
y=40
Find the inverse of g(x) = 3x^2 - 5
Answer:
[tex]\boxed{\sf \ \ \ g^{-1}(x)=\sqrt{\dfrac{x+5}{3}} \ \ \ }[/tex]
Step-by-step explanation:
Hello,
[tex]x=(gog^{-1})(x)=g(g^{-1}(x))=3(g^{-1}(x))^2-5\\\\<=>3(g^{-1}(x))^2 = x+5\\\\\\<=> (g^{-1}(x))^2=\dfrac{x+5}{3}\\<=>g^{-1}(x)=\sqrt{\dfrac{x+5}{3}}[/tex]
hope this helps
The inverse of function is x= √1/3( y+5 )
what is Inverse of function?A function that reverses the effects of another function is called an inverse function. When y=f(x) and x=g(y), a function g is the inverse of a function f. . Applying f and then g is equivalent to doing nothing, in other words. This can be expressed as g(f(x))=x in terms of the relationship between f and g.
Given:
g(x) = 3x² - 5
To find the inverse of the function take g(x) = y
Then, solve for x
y= 3x² - 5
y + 5= 3x²
x² = 1/3( y+5 )
x= √1/3( y+5 )
Hence, the inverse of function is x= √1/3( y+5 ).
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please help will give brainliest
Answer:
√24Option C is the correct option.
Please see the attached picture for full solution.
Hope it helps ...
Good luck on your assignment...
A crew is made up of 8 men and the rest are women. 66 2/3 of the crew are men? How many people are there in total?
Answer:
12Step-by-step explanation:
x - total number of people the crew contains
[tex]66\frac23\%x=\frac23x\\\\\\\frac23x\qquad\rightarrow\qquad 8\\\\:\frac23\,\qquad\ \qquad\ :\frac23\\\\x\ \qquad\ \rightarrow\qquad 8:\frac23=8\cdot\frac32=4\cdot3=12[/tex]
which of the following are solutions of the equation tan^2x-1=0 check all that apply a) pi/4 b) pi/2 c) -pi/2 d)3pi/4
Answer:
a
Step-by-step explanation:
tan^2x-1=0
tan^2x=1
tan x = +1 or -1
x= tan^-1 (1) or x= tan^-1 (1)
x= pi/4 or x= -pi/4
A function assigns the value of each element of one set to the other specific element of another set. The correct option is A.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
The solution for the given trigonometric function can be written as,
tan²x - 1 = 0
tan²x = 1
tan x = √1
tan x = 1
x = tan⁻¹ (1)
x = (π/4), (nπ/4)
Hence, the correct option is A.
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A bank offers a 1% annual interest rate for a savings account. Aaron puts $3,100
into an account to save for college. How much will be in the account after a year?
Answer:
$3,131
Step-by-step explanation:
1% of 3,100 is 31. 3,100 + 31 = 3,131.
probability, pleaseeeeeeeee help!
Answer:
24
Step-by-step explanation:
You don't really need to do a permutation here. We know that there are 4 options for digits and three places so therefore we have 4 choices for the first digit, 3 for the second and 2 for the last so the answer is 4 * 3 * 2 = 24.
A home appraisal company would like to develop a regression model that would predict the selling price of a house based on the age of the house in years (Age), the living area of the house in square feet (Living Area) and the number of bedrooms (Bedrooms). The given Excel output shows the partially completed regression output from a random sample of homes that have recently sold. Which group of independent variables is significant in this model using alphaαequals=0.05?
Answer:
Hello the excel output is missing attached is the excel output for the question
Answer : living area and Bedrooms
Step-by-step explanation:
A significant variable is a variable that is vital in the determination of the outcome of an activity or group of activities, and when the variable is independent is means that other variable does not affect its value or importance.
hence the important independent variable in this question are : Living area (x2) and Bedrooms(x3) because the pvalue < ∝ = 0.05
An experiment to determine the most effective way to teach safety principles applied four different teaching methods. Some employees were given programmed instruction booklets and worked through the course at their own pace. Other employees attended lectures. A third group watched a television presentation, and a fourth group was divided into small discussion groups. A high of 10 was possible. A sample of five tests was selected from each group. The test grade results were: At the 0.01 level, what is the critical value?5.291.003.241.96
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
An experiment to determine the most effective way to teach safety principles applied four different teaching methods. Some employees were given programmed instruction booklets and worked through the course at their own pace. Other employees attended lectures. A third group watched a television presentation, and a fourth group was divided into small discussion groups. A high of 10 was possible. A sample of five tests was selected from each group. The test grade results were:
Sample Programmed Instructions Lecture TV Group Discussions
1 6 8 7 8
2 7 5 9 5
3 6 8 6 6
4 5 6 8 6
5 6 8 5 5
At the 0.01 level, what is the critical value?
a. 5.29
b. 1.00
c. 3.24
d. 1.96
Answer:
The correct option is (a)
The critical value is 5.29
Step-by-step explanation:
To obtain the critical value, we need to perform a satistical test on the given data.
Since we are given data for four independent teaching methods to determine the most most effective way to teach safety principles, therefore, a one-way analysis of variance (ANOVA) may be used to get the critical value.
ANOVA:
The one-way analysis of variance (ANOVA) may be used to find out whether there is any significant difference between the means of two or more independent categories of data.
ANOVA in Excel:
Step 1:
In the data tab, select data analysis
Step 2:
Select "Anova single factor" from the analysis tools
Step 3:
Select the destination of input data in the "input range"
Step 4:
Select "columns" for the option "Group By"
Step 5:
Tick the option "labels in first row"
Step 6:
Set alpha = 0.01
Step 7:
Select the destination of output data in the "output options"
Output results:
Please refer to the attached results
As you can see in the output results, the critical value is 5.2922
Therefore, the correct option is (a)
A cell phone company collected data of texting speed in words per minute according to time in minutes. Explain why a scatter plot is used to represent the data, including the purpose of scatter plots.
(Mastery test plz help)Graph the linear equation. Find three points that solve the equation, then plot on the graph. -x+2y=11
Answer:
The three points on the plane found are: (5, 3); (1, 5); and (-3. 7)
Step-by-step explanation:
We can find three points that satisfy the equation by solving for example for the variable "x", and using different possible "y" values to find which "x" produces an equality (and therefore belongs to the line):
[tex]x+2y=11\\x=11-2y[/tex]
So now, we can try three different values for "y" (like 3, 5, and 7)
They give the following x-values:
[tex]x=11-2y\\x=11-2 \,(3)\\x=11-6=5[/tex] [tex]x=11-2y\\x=11-2 \,(5)\\x=11-10=1[/tex] [tex]x=11-2y\\x=11-2 \,(7)\\x=11-14=-3[/tex]
So we have the following three points: (5, 3); (1, 5); and (-3. 7)
which we can plot, and join with a line as shown in the attached image.
find the value of x in the triangle shown below
Answer:
46.4°Step-by-step explanation:
Apply sine formula:
[tex] \frac{sin \: a}{a} = \frac{sin \: b}{b} = \frac{sin \: c}{c} [/tex]
[tex] \frac{sin \: a}{a} = \frac{sin \: c}{c} [/tex]
Plug the values
[tex] \frac{sin \: (88)}{6.9} = \frac{sin \: x}{5} [/tex]
Apply cross product property
[tex]5 \: sin \: (88) = 6.9 \: (sin \: x)[/tex]
[tex] \frac{5 \: sin \: (88)}{6.9} = sin \: x[/tex]
[tex]x = {sin}^{ - 1} ( \frac{5 \: sin \:( 88)}{6.9} )[/tex]
[tex]x = 46.4[/tex]
Hope this helps .....
Best regards!!!
Answer:
x = 46.37 degrees
Step-by-step explanation:
Using cosine rule
[tex]c^2 = a^2+b^2-2abCosC[/tex]
Where a = 5 , b = 6.9 , c = 5 and C = x (Unknown)
In the cosine rule, a and b are the sides containing the angle and c is the opposite side of the angle C
Plugging in the values:
[tex]5^2 = 5^2+6.9^2-2(5)(6.9)Cos x[/tex]
=> [tex]25 = 25 + 47.62-2(34.5)Cosx[/tex]
=> [tex]25 = 72.61 - 69 Cos x[/tex]
Subtracting 72.61 to both sides
=> [tex]25-72.61 = -69Cos x[/tex]
=> -47.61 = -69 Cos x
=> 47.61 = 69 Cos x
Dividing both sides by 69
=> Cos x = 0.69
Multiplying both sides by [tex]Cos^{-1}[/tex]
=> x = [tex]Cos^{-1}0. 69[/tex]
=> x = 46.37 degrees
If A and B are two random events with probabilities of P(A) = 1/4 P(B) = 3/8 P(A ∩ B) = 1/5 calculate P(A|B).
Answer:
P(A|B) = 8/15
Step-by-step explanation:
Mathematically;
P(A|B) = P(A ∩ B)/P(B)
Thus we have
P(A|B) = 1/5 divided by 3/8
= 1/5 * 8/3 = 8/15