Answer:
a. v
Step-by-step explanation:
Given
[tex]3v - 8[/tex]
Required
Identify the variable
Literary, variable means things that change in values;
Going by this definition, we have that:
3 -> This is not a variable because its value will always be 3
v -> This is a variable because its value can change once its value changes, the result of the expression will also change
- -> This is not a variable; it is an arithmetic operator to subtract
8 -> This is not a variable because its value will always be 8
Take for instance
[tex]v = 2[/tex]
[tex]3v - 8 = 3 * 2 - 8 = 6 - 8 = -2[/tex]
When [tex]v =5[/tex]
[tex]3v - 8 = 3 * 5 - 8 = 15 - 8 = 7[/tex]
Notice that there's a difference in both results;
This is as a result of v being a variable
If a is an arbitrary nonzero constant, what happens to a/b as b approaches 0
It depends on how b approaches 0
If b is positive and gets closer to zero, then we say b is approaching 0 from the right, or from the positive side. Let's say a = 1. The equation a/b turns into 1/b. Looking at a table of values, 1/b will steadily increase without bound as positive b values get closer to 0.
On the other side, if b is negative and gets closer to zero, then 1/b will be negative and those negative values will decrease without bound. So 1/b approaches negative infinity if we approach 0 on the left (or negative) side.
The graph of y = 1/x shows this. See the diagram below. Note the vertical asymptote at x = 0. The portion to the right of it has the curve go upward to positive infinity as x approaches 0. The curve to the left goes down to negative infinity as x approaches 0.
Mr. Lee is 32 years older than his son. Five years later, Mr. Lee’s age will be 5 times that of his son. How old is Mr. Lee now?
Answer: mr lee is 37 year .
Step-by-step explanation:32+5=37
Answer:
Mr. lee is 35 yrs old right now. his son 3
Step-by-step explanation:
after 5 yrs, his son will be 8 and lee 40, 8×5=40
Candy is on sale for $0.75 each. You have a coupon for $0.25 off your total purchase. Write a function rule for the cost of n pieces of candy
Answer:
t = 0.75n - 0.25
t represents your total
Step-by-step explanation:
So lets start by writing our total variable.
t =
Now each candy is 0.75 so lets write that down too.
t = 0.75
Since we don't know how much candy we buy, lets multiply 0.75 by n.
t = 0.75n
Now we have a $0.25 coupon so now subtract the 0.25 from the cost.
t = 0.75n - 0.25
There you go.
you went to the restaurant and you paid $28 for food. you decide to tip the waiter 15% and pay tax 10%. what was the final bill after tip and tax?
==================================================
Work Shown:
15% of 28 = 0.15*28 = 4.20 is paid as a tip
10% of 28 = 0.10*28 = 2.80 is paid as tax
28+4.20+2.80 = 35 dollars is the final bill after both tip and tax are included.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The vertex of a parabola is (-2, -20), and its y-intercept is (0, -12).
The equation of the parabola is y =
x2 +
x +
.
Answer:
Step-by-step explanation:
Hello, we know that if the equation is
[tex]y=a(x-h)^2+k[/tex]
Then the vertex is the the point (h,k)
Here, the vertex is the point (-2,-20) so we can write, a being a real number that we will have to find,
[tex]y=a(x-(-2))^2-20=a(x+2)^2-20[/tex]
On the other hand, we know that the y-intercept is (0,-12) so we can write
[tex]-20=a(0+2)^2-12=4a-12\\\\\text{We add 12 and we divide by 4.}\\\\4a = -20+12=-8\\\\a = \dfrac{-8}{4}=-2[/tex]
So the equation becomes.
[tex]\boxed{y=-2(x+2)^2-12}[/tex]
And we can give the standard form as below.
[tex]y=-2(x+2)^2-12=-2(x^2+4x+4)-12\\\\=-2x^2-8x-8-12 \ <=>\\\\\boxed{y=-2x^2-8x-20}[/tex]
Thank you.
Answer:
this is wrong it needs to be 2 positives
Step-by-step explanation:
©
Christine went shopping and bought each of her ten nephews a gift, either a video costing $14.95 or a CD costing $16.88. She spent $164.94 on the
gifts. How many videos and how many CDs did she buy
Answer:
She bought 2 videos and 8 CDs.
A manufacturing company is expected to pay a dividend of br. 1.25 per share at the end of the year (D1=br.1.25). The stock sells for br. 32.50 per share and its required rate of return is 10.5%. The dividend is expected to grow at some constant rate forever. What is the growth rate
Answer:
the equilibrium expected growth rate is 6.65%
Step by step Explanation:
We were given stock sold per share of $32.50
Dividend per share =$1.25
Required Return rate = 10.5%
Then we can calculate Percentage of Dividend for share as;
dividend of br. 1.25 per share at the end of the year (D1=br.1.25)
= 1.25×100= 125
Let the dividend percentage = y
stock sold per share × y= 125
125= 32.50y
y = 125/32.50
y= 3.85
y= 3.85*100%
Then the Dividend percentage = 3.85%
Growth rate=(required rate of return -Dividend percentage)
= 10.5 - 3.85 = 6.65
Therefore, the equilibrium expected growth rate is 6.65%
shannon is paid £1150 a month after deductions.what is her net annual salary?(a year=12 months )
Answer:
£13800
Step-by-step explanation:
1150*12=£13800
Suppose a pack of candy bars has 4 bars. Each bar weighs 5.78 ounces. How much does the pack weigh?
Answer:
23.12 ounces
Step-by-step explanation:
The ratio of two numbers is 2:3 and the sum of their cubes is 945,what are the two numbers. let the 1st no be=2x and 2nd=3x (2x)^3 + (3x)^3=945
Answer:
The first number is 6, the second number is 9Step-by-step explanation:
a:b = 2:3
a = 2x - first number
b = 3x - second number
a³ + b³ = 945
[tex](2x)^3 + (3x)^3=945\\\\8x^3 +27x^3=945\\\\35x^3 = 945\\\\x^3=945:35\\\\x^3=27\\\\ x^3=3^3\\\\x=3\\\\\\a=2\cdot3 = 6\\\\b=3\cdot3=9[/tex]
a diagonal of rectangle forms a 30 degree angle with each of the longer sides of the rectangle. if the length of the shorter side is 3, what is the length of the diagonal
Answer:
Length of diagonal = 6
Step-by-step explanation:
Given that
Diagonal of a rectangle makes an angle of [tex]30^\circ[/tex] with the longer side.
Kindly refer to the attached diagram of the rectangle ABCD such that diagonal BD makes angles of [tex]30^\circ[/tex] with the longer side CD and BA.
[tex]\angle CDB =\angle DBA =30^\circ[/tex]
Side AD = BC = 3 units
To find:
Length of diagonal BD = ?
Solution:
We can use the trigonometric ratio to find the diagonal in the [tex]\triangle BCD[/tex] because [tex]\angle C =90^\circ[/tex]
Using the sine :
[tex]sin\theta = \dfrac{Perpendicular }{Hypotenuse }[/tex]
[tex]sin\angle CDB = \dfrac{BC}{BD}\\\Rightarrow sin30^\circ = \dfrac{3}{BD}\\\Rightarrow \dfrac{1}2 = \dfrac{3}{BD}\\\Rightarrow BD =2 \times 3 \\\Rightarrow BD = \bold{6 }[/tex]
So, the answer is:
Length of diagonal = 6
If the equation of a line is y = -2/3x + 1/3, what is the slope and y-intercept?
Step-by-step explanation:
Hey, there!!!
Let me explain you very simply,
The equation is;
y= -2/3 x +1/3
Now, we know the equation of a st.line in slope intercept form is,
y= m.x + c
now, comparing the given equation with y= m.x + c. we get,
m= -2/3
and y-intercept = 1/3.
Hope it helps...
can someone please please help me :/ I have to get this right. please help
Work Shown:
Solve for y. Then replace y with f(x).
[tex]680x + 10y - 1000 = 0\\\\10y - 1000 = -680x\\\\10y = -680x + 1000\\\\y = \frac{-680x + 1000}{10}\\\\y = \frac{-680x}{10} + \frac{1000}{10}\\\\y = -68x + 100\\\\y = 100 - 68x\\\\f(x) = 100 - 68x\\\\[/tex]
Effectively this involves adding 1000 to both sides and subtracting 680x from both sides, afterward we divide both sides by 10 to isolate y.
Answer:
choice B
Step-by-step explanation:
I did this problem like 6 months ago......
a line segment lies on the line xy it has endpoints z and v and passes through the point W. which of the following is the correct name for this line segment?
A) VZ
B) VW
C) XY
D) ZW
benifits of social media when reporting about gbv
Step-by-step explanation:
Coordinate referrals and advocate with partner organizations supporting GBV survivors to provide confidential services to clients, in accordance with their wishes, GBV guiding principles and informed consent.
Just need help
the equations are above
Answer:
6×4p=24p
15a÷3=5a
3t×8y=24ty
24ef÷12e=2f
-4fx-5px-3 =-x(4f+5p)-3
-9abc÷3a=-3bc
How forgot how to do this problem. I will give brainliest!
Answers
2x+3y=4
A=2 , B=3 , C=4
step by step:
2x+3y=2 the slope is -2/3
3y=-2x+2
y=-2/3 x+2
parallel line have the same slope: -2/3
the equation of parallel line that passes through point (2,0) y=mx+b
find b
2(2)+3(0)=b
4+0=b
b=4
the equation will be
2x+3y=4
to check : graph the equations:
Two similar rectangles have a corresponding sides in the ratio 10:3 find the ratio of their areas
Hello!
Answer:
[tex]\huge\boxed{100 : 9}[/tex]
If corresponding side lengths are in the ratio 10 : 3, the ratio of their areas will simply be the square (area is 2-dimensional).
Therefore:
10 : 3 ⇒ (10)² : (9)²
100 : 9 is the ratio of the areas.
I hope this helped you! :)
Ratio of the corresponding sides of rectangle
➾ 10 : 3
Areas will by in the ratio of 10² : 3²
➾ 100 : 9
Explanation :let first rectangles sides be 10 l and 10 b ➾ The area will be 100 × l × b
So second rectangles sides be 3 l and 3b
➾ The area will be 9 × l × b
So the ratio of areas
➾100lb : 9lb
➾ 100 : 9
list the next three terms in the following sequence
1,2,4,7, 11, 16
Answer:
22, 29, 37
Step-by-step explanation:
There is a pattern to find the next number in the sequence. The sequence is taking the previous number and adding the number it is in the sequence.
Notice how the first number being added is the number of the previous sum and the second number being added is always increasing by one
1+0=1
1+1=2
2+2=4
4+3=7
7+4=11
11+5=16
16+6=22
22+7=29
29+8=37
22, 29, 37
One angle of a triangle has a measure of 66 degrees. The measure of the third angle is 57 degrees more than 1/2 the measure of the second angle. The sum of the angle measures of a triangle is 180 degrees. What is the Measure of the second angle? What is the measure of the third angle?
Answer:
76 degrees
Step-by-step explanation:
Let the angles be x, y and z
As per given:
x= 66z = 57 + 1/2yx+y+z = 180Considering the first 2 equations in the third one:
66 + y + 57 + 1/2y = 1801.5y = 180 - (66+57)1.5y = 57y = 57/1.5y = 38So the third angle is:
z = 57 + 38/2 = 76 degreesIf the length of a room is 18 feet, how long should it be on a scale drawing
where 1 in. = 2 ft.?
Answer:
9 in.
Step-by-step explanation:
Proportions:
1 in ⇔ 2 ft
R in ⇔ 18
R = 18*1/2
R = 9 in
calculate 6/√2 and express it in form of a√b
Answer:
[tex]3 \sqrt{2} [/tex]
Step-by-step explanation:
[tex] \frac{6}{ \sqrt{2} } = \frac{6}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2} [/tex]
We can't have a fraction that has a number under square root as it's denominator. So we will have to rationalize it, which means we will multiply the numerator and also the denominator by the number that is under the square root.
Hope this helps ;) ❤❤❤
Answer:
[tex]\boxed{\sf 3\sqrt{2}}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{6}{\sqrt{2} }[/tex]
[tex]\sf Multiply \ both \ numerator \ and \ denominator \ by \ \sqrt{2}[/tex]
[tex]\displaystyle \frac{6 \times \sqrt{2} }{\sqrt{2} \times \sqrt{2} }[/tex]
[tex]\displaystyle \frac{6\sqrt{2} }{2 }[/tex]
[tex]\sf Simplify[/tex]
[tex]3\sqrt{2}[/tex]
HELP ASAP
The points $(-3,2)$ and $(-2,3)$ lie on a circle whose center is on the $x$-axis. What is the radius of the circle?
Answer:
[tex]radius = \sqrt{13}[/tex] or [tex]radius = 3.61[/tex]
Step-by-step explanation:
Given
Points:
A(-3,2) and B(-2,3)
Required
Determine the radius of the circle
First, we have to determine the center of the circle;
Since the circle has its center on the x axis; the coordinates of the center is;
[tex]Center = (x,0)[/tex]
Next is to determine the value of x through the formula of radius;
[tex]radius = \sqrt{(x_1 - x)^2 + (y_1 - y)^2} = \sqrt{(x_2 - x)^2 + (y_2 - y)^2}[/tex]
Considering the given points
[tex]A(x_1,y_1) = A(-3,2)[/tex]
[tex]B(x_2,y_2) = B(-2,3)[/tex]
[tex]Center(x,y) =Center (x,0)[/tex]
Substitute values for [tex]x,y,x_1,y_1,x_2,y_2[/tex] in the above formula
We have:
[tex]\sqrt{(-3 - x)^2 + (2 - 0)^2} = \sqrt{(-2 - x)^2 + (3 - 0)^2}[/tex]
Evaluate the brackets
[tex]\sqrt{(-(3 + x))^2 + 2^2} = \sqrt{(-(2 + x))^2 + 3 ^2}[/tex]
[tex]\sqrt{(-(3 + x))^2 + 4} = \sqrt{(-(2 + x))^2 + 9}[/tex]
Eva;uate all squares
[tex]\sqrt{(-(3 + x))(-(3 + x)) + 4} = \sqrt{(-(2 + x))(-(2 + x)) + 9}[/tex]
[tex]\sqrt{(3 + x)(3 + x) + 4} = \sqrt{(2 + x)(2 + x) + 9}[/tex]
Take square of both sides
[tex](3 + x)(3 + x) + 4 = (2 + x)(2 + x) + 9[/tex]
Evaluate the brackets
[tex]3(3 + x) +x(3 + x) + 4 = 2(2 + x) +x(2 + x) + 9[/tex]
[tex]9 + 3x +3x + x^2 + 4 = 4 + 2x +2x + x^2 + 9[/tex]
[tex]9 + 6x + x^2 + 4 = 4 + 4x + x^2 + 9[/tex]
Collect Like Terms
[tex]6x -4x + x^2 -x^2 = 4 -4 + 9 - 9[/tex]
[tex]2x = 0[/tex]
Divide both sides by 2
[tex]x = 0[/tex]
This implies the the center of the circle is
[tex]Center = (x,0)[/tex]
Substitute 0 for x
[tex]Center = (0,0)[/tex]
Substitute 0 for x and y in any of the radius formula
[tex]radius = \sqrt{(x_1 - 0)^2 + (y_1 - 0)^2}[/tex]
[tex]radius = \sqrt{(x_1)^2 + (y_1)^2}[/tex]
Considering that we used x1 and y1;
In this case we have that; [tex]A(x_1,y_1) = A(-3,2)[/tex]
Substitute -3 for x1 and 2 for y1
[tex]radius = \sqrt{(-3)^2 + (2)^2}[/tex]
[tex]radius = \sqrt{13}[/tex]
[tex]radius = 3.61[/tex] ---Approximated
On the first day in each month, Enid deposited $4 into her bank account and Jim deposited $3 into his. They opened these accounts on May 15, 1990. On December 31, 1990, they each had $72 dollars in their account. How much did each person deposit on May 15?
Answer:
The amount of money in Enid bank account can be written as a linear equation.
Ye = Xe + $4*m
where Ye is the money that Enid has in her account, m is the number of months that have passed since she opened it, and Xe is the initial deposit.
For Jim, the equation is similar:
Yj = Xj + $3*m
where Yj and Xj are similar as above.
Between May 15 and December 31 of the same year, we have 7 months (where i am counting December because the deposit is made in the first day of the month).
Then we have that:
Ye = $72 = Xe + $4*7 = Xe + $28
Xe = $72 - $28 = $44
So in May 15, Enid deposited $44.
For Jim we have:
Yj = $72 = Xj + $3*7 = Xj + $21
Xj = $72 - $21 = $51
So in May 15, Jim deposited $51.
What is the solution set to the inequality?
Answer:
Option (2)
Step-by-step explanation:
To find the solution set of the given inequality we will follow the following steps.
1). Convert the inequality into an equation.
2). Find the solutions from the equation.
3). Check these solutions and intervals on a number line.
Given inequality is 5(x - 2)(x + 4) > 0
Step 1. Equation for given inequality is,
5(x - 2)(x + 4) = 0
Step 2. Solutions for the given equation will be,
(x - 2) = 0 ⇒ x = 2
(x + 4) = 0 ⇒ x = -4
Step 3. Therefore, there will be two critical points on the number line,
x = 2, x = -4
Now we will check the solutions of the given inequality in the given intervals,
x < -4, -4 < x < 2 and x > 2
For x < -4,
Let the solution is x = -5
5(x + 4)(x - 2) = 5(-5 + 4)(-4 - 2)
= 30 > 0
Therefore, x < -4 will be the solution area of the inequality.
For -4 < x < 2,
Let the solution is x = 0
5(x + 4)(x - 2) = 5(0 + 4)(0 - 2)
= -40 < 0
Therefore, -4 < x < 2 will not be the solution set for the given inequality.
For x > 2,
Let the solution is x = 3
5(x + 4)(x - 2) = 5(3 + 4)(3 - 2)
= 35 > 0
Therefore, x > 2 will be the solution area of the inequality.
Summarizing all steps we find that the solution set of the inequality is,
{x | x < -4 Or x > 2}
Option (2) will be the answer.
The following shape is based only on squares, semicircles, and quarter circles. Find the area of the shaded part.
Answer:
The area of the shaded part is 36.53 cm²
Step-by-step explanation:
The dimension of the side of the square ABCD = 8 cm
The shaded part is seen to be the area of intersection of two quarter circles
The dimension of the radius of the quarter circles = The side length of the square
Therefore;
The dimension of the radius of the quarter circles = 8 cm
The figure can be taken as being formed by the two quarter circles with a square removed
The shaded area is the
Therefore, the area of the shaded part Sₐ, is given by the relation;
Sₐ = Area of first quarter circle + Area of second quarter circle - Area of the square
Given that the dimensions (radius) of the two quarter circles are the same, we have;
Area of first quarter circle = Area of second quarter circle = (π × 8²)/4 cm²
Area of the square = (Side length of the square)² = 8² = 64 cm²
Sₐ = (π × 8^2)/4 + (π × 8^2)/4 - 64 = 36.53 cm²
The area of the shaded part = 36.53 cm².
Find value of k
from below eqn
[tex] {2x}^{2} + 7xy + 3y {}^{2} - 5x - 5y + k = 0[/tex]
Answer:
k=10BY DPING PROCESS IT BECOME
Becky's ship is 43 miles west all the harbor.
Clyde's yacht is a5 miles north from Beery. How
far is Clyde from the Harbor? Show your work.
С
x= Harbor
25
B.
43
Answer:
Clyde is 49.74 away from the harbor
Step-by-step explanation:
Here in this question, we are interested in knowing the distance of Clyde from the harbor.
The key to answering this question is having a correct diagrammatic representation. Please check attachment for this.
We can see we have the formation of a right angled triangle with the distance between Clyde’s ship and the harbor the hypotenuse.
To calculate the distance between the two, we shall employ the use of Pythagoras’ theorem which states that the square of the hypotenuse is equal the sum of the squares of the two other sides.
Let’s call the distance we want to calculate h.
Mathematically;
h^2 = 25^2 + 43^2
h^2 = 625 + 1849
h^2 = 2474
h = √2474
h = 49.74 miles
Find the length of LM if L is the midpoint of NM. NL = 3x + 1, LM = 8x - 24.
Answer:
LM = 16
Step-by-step explanation:
From the question given:
L is the midpoint of NM
NL = 3x + 1
LM = 8x - 24
LM =?
Next, we shall determine the value of x.
This can be obtained as follow:
Since L is the midpoint of NM, it means that NL and LM are equal i.e
NL = LM
Thus, we can obtain the value of x as follow:
NL = 3x + 1
LM = 8x - 24
NL = LM
3x + 1 = 8x - 24
Collect like terms
3x - 8x = - 24 - 1
-5x = - 25
Divide both side by - 5
x = -25/-5
x = 5
Finally, we shall determine the length of LM as follow:
LM = 8x - 24
x = 5
LM = 8(5) - 24
LM = 40 - 24
LM = 16
Therefore, the length of LM is 16
Esmereldas family went out to dinner paying 20% tip at the end of the meal. Their credit card was charged $51.00. What was the amount on the bill without the tip
Answer:
42.50
Step-by-step explanation:
bill + tip = total bill
The tip is based on the bill
tip = bill * 20%
tip = bill * .20
Replace in the original equation
bill + .20 bill = total bill
Combine like terms
1.20 bill = total bill
The total bill was 51 dollars
1.20 bill = 51
Divide each side by 1.20
1.20 bill / 1.2 = 51/ 1.2
bill =42.50
Answer:
$42.50
Step-by-step explanation:
If the total was $51 with the tip, and you know the tip was 20%, you can set up an equation and solve:
0.2x+x=51
1.2x=51
x=42.5
Therefore, the bill (w/o tip) was $42.50
p.s.Please give me brainliest. Thank you! :)