Answer:
k = 1/2
Step-by-step explanation:
direct variation equation is y = kx where 'k' is the constant of variation
substitute 36 for 'y' and 72 for 'x' to get:
36 = 72k
solve for 'k' to get:
k = 36/72 or k = 1/2
Find last year's salary if, after a 4% pay raise, this year's salary is $33,800.
Answer:
1352
Step-by-step explanation:
4% of 33,800 is 1352 last years salary was 32448
Show your solution follow the steps need an answer, please need an answer, please.
Step-by-step explanation:
21. x² - 4x - 5 > 0
→ (x - 5) (x - 1) > 0
{x - 5 > 0
{x + 1 > 0
{x - 5 < 0
{x + 1 < 0
{x > 5
{x > -1
{x < 5
{x < -1
= x < -1 or x > 5
therefore, option A is correct
22). 4p² - 1 ≤ 0
(2p - 1) (2p + 1) ≤ 0
{2p - 1 ≤ 0
{2p + 1 ≥ 0
{2p - 1 ≥ 0
{2p + 1 ≤ 0
{p ≤ 1/2
{p ≥ -1/2
{p ≥ 1/2
{p ≤ -1/2
1/2 ≤ p ≤ 1/2
{p ≥ 1/2
{p ≤ -1/2
-1/2 ≤ p ≤ 1/2
therefore, option A is correct.
23). y < 3x² + 3x - 6
3x² + 3x - 6 = 0
3x² + 6x - 3x - 6 = 0
3x(x +2) - 3(x +2) = 0
(x +2) (3) (-3) = 0
x = -2, 1
this is the correct ans. but their is no option similar to it.
25. x and y are root of
m² - 11m + 18 = 0
hence, x + y = 11
xy = 18
2xy = 36
now, x² + y²
= (x +y)² - 2xy
= (11)² - 36
= 121 - 36
= 85
therefore, option A is correct.
26. x² - 2x - 120
(x -1)² - 1 - 1² = 0
(x -1)² = 1 + 1²
x - 1² = 2
x - 1 = ±√2
1 ± √2
therefore, option A is correct.
hope this answer helps you dear..take care!
Answer:
Step-by-step explanation:
21) x² - 4x - 5 > 0
x² - x + 5x - 5 > 0
x(x - 1) + 5(x - 1) > 0
(x - 1) (x + 5) > 0
x - 1 >0 or x + 5 > 0
x > 1 or x > - 5 Ans: D
22) 4p² ≤ 1
p² ≤ 1/4
p ≤ 1/2 or p ≥ -1/2
-1/2 ≥ p ≤ 1/2
23)y < 3x² + 3x - 6
(1 , -7)
x = 1 and y = -7
-7 < 3*1 + 3*1 - 6
-7 < 3 + 3 - 6
-7 < 0
(1 , -7) satisfies the equation.
Option b
24) 5x² - 7x = 0
a = 5 ; b = -7 ;c = 0
Discriminant = b² - 4ac = 49 - 0 = 0
[tex]x = \dfrac{-b+\sqrt{D}}{2a} \ ; \ \dfrac{-b-\sqrt{D}}{2a}\\\\x = \dfrac{7+\sqrt{49}}{10} ; \dfrac{7-\sqrt{49}}{10}\\\\x = \dfrac{7+7}{10};\dfrac{7-7}{10}\\\\x =\dfrac{14}{10} ; 0\\\\x = \dfrac{7}{5}; 0[/tex]
x = 0 ; x = 7/5 Option a)
25) m² - 11 m + 18 = 0
m² - 2m - 9m + (-9)*(-2) = 0
m(m - 2) - 9(m - 2) = 0
(m - 2)(m - 9) = 0
m = 2 , 9
x = 2 and y =9
x² + y² = 2² + 9² = 4 + 81 = 85 Option a)
26) x² - 2x - 1 = 0
Add the constant 1 to both sides
x² - 2x = 1
Divide the coefficient of x by 2. 2/2 = 1. Now add this 1 to both sides of the equation.
x² - 2x + 1 = 1+1
x² - 2x + 1 = 2
(x - 1)² = 2
Take square root
x - 1 = ±√2
x = 1 ± √2 Option a)
A new blu-ray player costs $80.99 in the store. What would your total cost be if the sales tax is 5.5%? Round your answer to the nearest cent, if necessary.
Answer:
445.445
Step-by-step explanation:
because I did it and I got it right
Answer: 85.44
Step-by-step explanation: 80.99*0.055
Mr. Candy needs to purchase large bags of Snickers to sell in the school store. A bag of Snickers contains 72 Snicker bars. A bag of Snickers cost $23. How much should Mr. Candy sell the Snicker bars to make a profit of $49?
Answer:
70 cents each snickers bar
Step-by-step explanation:
Let p and q Represent the following statement
Answer:
symbolic representation :negation q (~q)
plz mark me brinest
what does this mean??
Answer:
"do you mock people's mental states?"
PLEASE HELP I NEED TO DO THIS RIGHT
Answer:
C maybe i dunno but gl
Answer:
A
Step-by-step explanation:
Given a function f(x) where the first derivative with respect to x evaluated in two equals
f'(2)=1/2
The slope of the tangent line is
mt=1/2
Therefore, the slope of the normal line is
mn=-1/(1/2)
mn=-2
Evaluating the given point in the general form
y-y1=m(x-x1)
y-(-1)=-2(x-2)
y+1=-2x+4
y=-2x+3
When converted to a household measurement, 9 kilograms is approximately equal to a
Answer:
D) 19.8 lbs
Explanation:
1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.
1kg is also equal to 2.205 lbs. 9*2.205=19.8416
9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system
a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.
This leaves us with 19.8 lbs
Select True or False for each statement pls.
Statement 1: False
Statement 2: True
Statement 3: True
Write an equation that represents the line.
Use exact numbers.
Answer:
y = 1.5x + 3
Step-by-step explanation:
Take the two points marked by the blue dots.
(0,3), (2,6)
Start with (0,3). The zero makes the other number with it = to the y intercept.
So far what you know is
General equation: y = mx + b
b = 3
Partial equation: y = mx + 3
Givens
To get m, you need both points.
y2 = 6
y1 = 3
x2 = 2
x1 = 0
Equation
m = (y2 - y1) / (x2 - x1)
m = (6 - 3) / (2 - 0)
m = 3 / 2
Entire equation
y = 3/2 x + 3
or
y = 1,5x + 3
Label the figure.
20,24,114,702
The location of the
circumcenter of TrIangle ABC is:
A. Point D
B. Point E
C. Point F
Answer:
it'd be F
Step-by-step explanation:
just did it on my acellus
The location of the circumcenter of triangle ABC is at ''Point D.''
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The triangle ABC is shown in figure.
Now,
We know that;
The circumcenter of the triangle is the point at which the distance between the vertices with the circumcenter is equal to each other.
In figure ABC;
⇒ AD = BD = CD
So, The circumcenter of triangle ABC is at point D.
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4%*57+(7654*34562)-68+1-213=?
Step-by-step explanation:
264537270.28
ok..... oddly..
Calculate A woman is walking at a rate of 0.5
m/s. Her mass is 62 kg. Calculate the woman's
kinetic energy in joules.
Answer:
7.75J
Step-by-step explanation:
kinectic energy formula = 1/2mv²
m mass
v velocity
1/2 x 62 x 0.5² = 7.75
A woman is walking at a rate of 0.5m/s. Her mass is 62 kg. The woman's kinetic energy in joules:
K.E. = 7.75 kgm²/s²
What is Kinetic Energy?
The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes.
Given,
Mass = 62kg
Velocity = 0.5m/s
The formula for Kinetic Energy is :
K.E. = 1/2 m v².
K.E. = 1/2 (62)(0.5)²
K.E. = 1/2 (62)(0.25)
K.E. = 1/2 (15.5)
K.E. = 15.5/2
K.E. = 7.75 kgm²/s²
or
K.E. = 7.75 joules
Hence, he woman's kinetic energy in joules, K.E. = 7.75 kgm²/s²
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Please Help!!!!!!!!!!!
what is the ninth term of the arithmetic sequence a(n)=14 + 2(n-1)?
A. 21
B. 23
C. 30
D. 32
Answer:
C= 30
Step-by-step explanation:
Write an equation of the line in slope-intercept form. JY 1 (3, 3) (0, 2) 2 4
y=
Correct answer: y = [tex]\frac{1}{3}[/tex]x + 2
To find out the slope, you would need to remember this slope formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]. We can use the two points provided on the graph to figure out the slope. We can label (3, 3) as [tex]x_{1}[/tex] and [tex]y_{1}[/tex], and (0, 2) as [tex]x_{2}[/tex] and [tex]y_{2}[/tex]. Now we can plug these numbers into the slope formula to find out the slope:
m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] → [tex]\frac{2-3}{0-3}[/tex] → [tex]\frac{-1}{-3}[/tex] → [tex]\frac{1}{3}[/tex]
To find out the y-intercept, just substitute (3, 3) into the slope-intercept formula ( y = mx + b ) with the slope that is substituted for 'm' that we already solved earlier.
y = mx + b
(3) = [tex]\frac{1}{3}[/tex](3) + b
3 = 1 + b
2 = b
You can also prove this true by looking at the graph provided. The line intersects at the y-axis at 2.
Now we know that m = [tex]\frac{1}{3}[/tex] and b = 2, we can substitute it into the slope-intercept formula. Thus, the answer is y = [tex]\frac{1}{3}[/tex]x + 2.
Hope this helps you! Let me know if you have any more questions related to this problem.
a data set has these values: 8,10,10,12,12,12,14,14,16.The histogram of the distribution is shown. Which statement does not describe the data set shown?
Answer:
it has a range of 17
Step-by-step explanation:
I just took it
A loan used for buying a home is called a mortgage. The Fortunato family is borrowing $430,000 to buy a home. They are taking out a 30-year mortgage at a rate of 3.55%. a. Compute the monthly payment to the nearest cent. fill in the blank 1 b. Find the total of all of the monthly payments for 30 years. fill in the blank 2 c. What is the total interest? fill in the blank 3 d. Which is greater, the interest or the original cost of the home?
Using compound interest, it is found that:
a) The monthly payments are of $3,401.49.
b) The total of all monthly payments for 30 years is of $1,224,536.
c) The total interest is of $794,536.
d) The total interest is greater.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.For the parameters, we have that:
The Fortunato family is borrowing $430,000 to buy a home, hence P = 430000.30-year mortgage, hence t = 30.Rate of 3.55%, hence r = 0.0355.Yearly compounding, hence n = 1.For practicality, first we are going to solve item b.
Item b:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(30) = 430000\left(1 + \frac{0.0355}{1}\right)^{30}[/tex]
[tex]A(30) = 1224536[/tex]
The total of all monthly payments for 30 years is of $1,224,536.
Item a:
$1,224,536 is paid in 30 x 12 = 360 months, hence:
1224536/360 = $3,401.49.
The monthly payments are of $3,401.49.
Item c:
The interest is the total subtracted from the principal, hence:
1224536 - 430000 = $794,536.
The total interest is of $794,536.
Item d:
Loan of $430,000, interest of $794,536, hence the total interest is greater.
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NO LINKS OR ASSESSMENT!!!!
Answer:
See below and attachedStep-by-step explanation:
1. There are infinite number of lines going from only one point (2, 5)
No definite solution for line A.2. This is a proportional relationship, since line passes through the origin. The slope is -3.
The line B is:
y = -3x3. Points (-3, -2) and (3, 10)
The slope:
m = (10 + 2)/(3 + 3) = 2The y - intercept:
10 = 2*3 + b ⇒ b = 4The line C is:
y = 2x + 44. The rate of change is m = 2.5
The y- intercept:
1 = 2*2.5 + b ⇒ - 4The line D is:
y = 2.5x - 45. Line E has a slope of 4, no sufficient info to conclude.
y = 4x + b, with any value of b6. Line F has m = -3/4 and passes through (8, -1).
The y -intercept is:
-1 = 8(-3/4) + b ⇒ b = 5The line F is:
y = -3/4x + 57. G is not a linear relationship as the function increases exponentially with common ratio of 3.
Multiply. Enter the product in simplest form.
7
9
×
4
7
=
3. Simplify the expression (x3 - 5x2 + 7x - 12) = (x – 4) using long division. Show your work.
Answer:
Answer:
x^2-x+3
Step-by-step explanation:
(x^3-5x^2+7x-12)÷(x-4)
x^3−5x^2+7x−12
Factors of 12,
1,2,3,4,6,12
Substitute 4 into x. Since the result is 0, x-4 is a factor..
4^3−5×4^2+7×4−12=0
x-4
x^2 -x 3
x-4 | x^3 -5x^2 7x -12
x^3 -4x
-x^2 7x -12
-x^2 4x
3x -12
3x -12
x^2−x+3
(x^2−x+3)(x−4)
x−4
(x^2−x+3)
Answer = x^2-x+3
Hopes this helps
-8+r>-8
please show work
Hello there!
-8+r>-8
Move all the numbers to the right:
r>-8+8
r>0
Hope it helps!
~Just a joyful teen
[tex]GraceRosalia[/tex]
from a piece 20m long ,100 pieces each 7.5cm are cut off how much remain
Answer:100*7.5=750cm=7.5 m
left rope=20-7.5=12.5m
Step-by-step explanation:
Pa Brainliest Kung Pwede.
Answer:
12.5 metres
Step-by-step explanation:
→ Multiply the pieces by the length
100 × 7.5 = 750 cm
→ Convert to metres
750 cm = 7.5 metres
→ Minus from original length
20 - 7.5 = 12.5 metres
wich one is bigger 4\5 or 0.8
Answer: They both equal the same thing.
Step-by-step explanation: 4/5=0.8
Answer: there both equal
Step-by-step explanation:
4/5 is basically 0.8 cuz 0.8 put a extra 0 in it its gonna say 0.80 and 4 x 20= 80. and that's 80/100 so yea..... 4/5 and 0.8 are equal.
this my first time answering. Sorry if I get it wrong TwT
Consider the equation below. The value of x in terms of h is . The value of x when h = 4 is .
The value of x when h = 4 is 4.
The given equation is : 4(x − 3) = h. We need to find the value of x in terms of h and the value of x when h = 4.So, we will solve this equation by following the steps given below:
Step 1: Distribute 4 by x and 4 by -3. It gives us:4x - 12 = h
Step 2: Add 12 to both sides of the equation. We get:4x - 12 + 12 = h + 124x = h + 12
Step 3: Divide both sides of the equation by 4. We get:x = (h + 12) / 4
Therefore, the value of x in terms of h is x = (h + 12) / 4.
Now, we need to find the value of x when h = 4. We will put h = 4 in the above equation and get the value of x.x = (4 + 12) / 4 = 16 / 4 = 4.
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In St John's school there are 20 rooms that need cleaning. It takes four cleaners two
hours each school day to clean all of the rooms.
How long does each room take to clean ?
Answer:
im a curious cat lolololol
Step-by-step explanation:
convert 1040 weeks to months with solution
Answer:
1040 x 0.229984 = 239.18336
months = 239
Reniel is 13 years old. He is two years younger than his brother, Gelo. If Gelo is five times older than their sister, how old is their sister?
Write a quadratic function whose zeros are -12 and -2.
Answer:
(x+12) (x+2)
x(x+12)+2(x+12)
x^2+12x+2x+24
x^2+14x+24
Step-by-step explanation:
Answer:
f(x) = x² + 14x + 24
Step-by-step explanation:
Given the zeros of -12 and -2, then it means that:
x + 12 = 0 and x + 2 = 0
As a proof, if you isolate x, you'll end up with the given values:
x + 12 - 12 = 0 - 12
x = -12
x + 2 - 2 = 0 - 2
x = -2
In terms of using these values into the quadratic function:
(x + 12) (x + 2)
Perform the FOIL method in order to find the quadratic function:
(x + 12) (x + 2)
f(x) = x² + 2x + 12x + 24
f(x) = x² + 14x + 24 ⇒ This is the quadratic function, given the zeros as x = -12, and x = -2.
C: infinitely many solutions, help solve fast pls