Answer:
Step-by-step explanation:
Diameter=5 inches
Area= π[tex]r^{2}[/tex]
r is the radius of coaster.
Radius=diameter/2
Substitute the value of D:
r=5/2
Now
Area=π [tex]\frac{5}{2} ^{2}[/tex]
Area=π([tex]\frac{25}{2}[/tex])
Area=12.5π sq.inches
If you need to ask any questions, please let me know.2h(3m-4h)please help me
Answer:
6hm-8h^2
Step-by-step explanation:
2h(3m-4h)
2h*3m=6hm
2h*4h=8h^2
=6hm-8h^2
What equation is graphed in this figure?
· y-4= -1/3(x+2)
· y-3= -1/3(x+1)
· y+2= -3(x-1)
· y-5=3(x-1)
Answer:
y-5=3(x-1)
Step-by-step explanation:
I hope it helped
Jason was a recent graduate from a university program with a Bachelor of Science in Medical Technology. He will begin a position at the local hospital working 40 hours a week with an hourly rate of $25.50. He will receive a paycheck every two weeks. In a document, calculate the following. Be sure to show your mathematical calculations.
Gross Pay for 1 paycheck
Deductions for federal tax, state tax, and city tax
Deduction for F.I.C.A. or social security tax
Deduction of $117 for medical and dental insurance.
What would Jason’s net monthly income and net annual salary be after taxes and insurance?
Answer:
Gross Pay for 1 paycheck
Deductions for federal tax, state tax, and city tax hope it helps :)
Step-by-step explanation:
The net monthly income of Jason is $194.68 and the net annual salary is 23324.16.
What is gross pay?Gross pay of an employee is basically sum of his basic pay, dearness allowance, any other allowance only. Public providend fund, income tax are not deducted from it.
How to find net pay?1) Gross paycheck=2*40*25.5=$2040.
2) Federal tax=2040*21%=$428.4
3) State tax=25=$25
4) City tax=2040*12%=$244.8.
5) Deductions=2040*12.45=$252.96.
6) Net monthly income=2*(Gross pay-federal tax-state tax-city tax-deductions-deductions for F.IC.A. or social security tax)
=2*[2040-428.4-25-244.8-252.96-117]
=1943.68
7) Net annual salary=12* net monthly income.
=1943.68*12 ( 1year= 12 months)
=$23324.16
Hence the net monthly income of Jason is $194.68 and the net annual salary is 23324.16.
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Which function represents a reflection of f(x)=3/8
(4) across the y-axis?
O g(x) = - a)
O g(x) = - 3 (4%
o g(x) = (4)
O g(x) = 2 (4)*
—
Answer:
Step-by-step explanation:
Reflecting a function across the Y axis means replacing x with -x.
First one could *almost* work, if there wasn't the minus sign at the beginning, so it's a no.
Second one is also a no, the original one is always positive, the second one is always negative.
3rd one is reflecting the graph all right, but it's also adding some sort of stretch (try with the point x=1 in both cases, [tex]f(1) = \frac 32[/tex] while [tex]g_3(1) = 2/3[/tex]
4th one is the charm.
The function that represents a reflection of f(x) = (3/8) 4^x across the y-axis is [tex]g(x) = (3/8) 4^{-x}.[/tex]
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To reflect the function f(x) = (3/8) 4^x across the y-axis, we need to replace x with -x in the function.
This will cause the function to be reflected across the y-axis.
So,
The function that represents the reflection of f(x) = (3/8) 4^x across the y-axis is:
g(x) = (3/8) 4^(-x)
We replaced x with -x in f(x) and simplified to obtain g(x).
Therefore,
The function that represents a reflection of f(x) = (3/8) 4^x across the y-axis is [tex]g(x) = (3/8) 4^{-x}.[/tex]
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the area of a rectangle pool is 7452m^2.If the width of the pool is 81m, what is the length?
4) Mason paid $54 for 9 lbs. of steak, and
Isabella paid $72 for 6 lbs. Which person
paid a greater ratio of dollars/lbs. of steak?
Answer:
Isabella paid more.
Step-by-step explanation:
$72/6 = $12.67
She paid twelve dollars for 1 lb of steak while Mason paid 6 dollars for 1 lb.
Answer:
Isabella has a greater ratio of dollars/lbs
Step-by-step explanation:
Mason paid $6/1 lb
Isabella paid $12/1 lb
Hope this helps!
write an Algebraic expression for 3 times X squared minus 4 times X
Answer:
3x2 - 4x
Step-by-step explanation:
this is the algebric expression
Identify the slope!!
Answer:
Step-by-step explanation:-0y+2-4x
PLS HELP, I WILL MARK U BRAINLIEST!How many natural numbers less than 200 are divisible by the given number.
4 but not divisible by 12.
Step-by-step explanation:
6, 9, 12, 18, 24, 27, 30, 36, 42, 45, 48, 54, 60, 63, 66, 72, 78, 81, 84, 90, 96, 99, 102, 108, 114, 117, 120, 126, 132, 135, 138, 144, 150, 153, 156, 162, 168, 171, 174, 180, 186, 189, 192, 198
I think that's your answer
Answer:
34
Step-by-step explanation:
numbers divisible by 4 :
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 196, 200
numbers divisible by 12 :
12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192
numbers divisible by 4 but not by 12 :
4, 8, 16, 20, 28, 32, 40, 44, 52, 56, 64, 68, 76, 80, 88, 92, 100, 104, 112, 116, 124, 128, 136, 140, 148, 152, 160, 164, 172, 176, 184, 188, 196, 200
34
What is between 8.79 and 8.80 on a numberline
Answer:
8.795 is exactly half way between them
Step-by-step explanation:
That is the difference between them
Is the trend line linear? If so, write a linear equation that represents the trend line. Show your work. I am having trouble writing the equation will someone do it for me because I don't understand.
Answer:
Our equation: y = 200x/3 + 100
Step-by-step explanation:
The trend line is linear.
y = mx + b
=> b = y-intercept = 100
=> m = slope = rise/run
=> 400/6 = 200/3
=> Slope = 200/3
Our equation: y = 200x/3 + 100
Hoped this helped.
Marking Brainlest! 20pts. Thanks
The scatter plot shows the relationship between the average number of nightly customers and the number of months since a restaurant opened. The equation represents the linear model for this data.
y = 5x + 120
What does the number 5 in the equation mean in this context?
A. There were 5 customers per night when the restaurant opened.
B. The average number of customers per night decreased by 5 each month.
C. The restaurant has been open for 5 months.
D. The average number of customers per night increased by 5 each month.
Answer:
the answer is C trust me by
PLEASE HELP ME FOR 25 POINTS NO LINKS!
Answer:
The answer is C. Yes, Abc= Adc
Answer:
Yes, ABC is congruent to CDA by SSS
Your answer is correct; and here's why:
side AB corresponds to side CD.
and side BC corresponds to DA
So ABC = CDA.. and of course they also share AC which makes it congruent by side side side congruency.
Step-by-step explanation:
Xavier wants to order CDs online. Each CD costs $17.50 and shipping is $4. He only has $90 to spend.
6. A math book is 3.78 cm thick. What is the total width of 21 math
books on the shelf?
79.38 cm
........................................
3. A dish contains 100 candies. Juan removes candies from the dish each day and no
candies are added to the dish. On day 1, Juan removes 1 candy. On day 2, Juan
removes 2 candies. On each day that follows, Juan removes 1 more candy than he
removed on the previous day. After day n, Juan has removed a total of at least 64
candies. What is the smallest possible value of n?
Please give answers and how to solve it step by step thank you!!!
Answer:
11
Step-by-step explanation:
If i am correct n= the days so with the days adding up day 10 juan would have 55 of the 100 candies, day 11 he would have 66. The statement said at least 64, so it would have to be 64 or the closet amount to 64 but it cannot be lower than 64. So there for 66 is the closest to the given amount, and in order for juan to get 64 he would need to take candies out for 11 days.
Select the correct answer.
Which graph best represents a function with zeros of -3, 0, and 2?
Answer: C
Step-by-step explanation:
The answer is C
The graph C. represents the polynomial with zeros of -3, 0 and 2.
What are zeros of a polynomial?The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero. They are interesting to us for many reasons, one of which is that they tell us about the x-intercepts of the polynomial's graph.
Or we can say that the x- intercept of the graph of the polynomial are the zeros of that polynomial. Thus, the graph with x - intercept -3, 0, 2 represent the required function.
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Put the following equation of a line into slope-intercept form, simplifying all fractions, 6x+4y=-12
Answer:
Step-by-step explanation:
6x+4y=-12
subtract 6x from both sides in order to move 6x to the other side.
4y=-12-6x
divide 4 from the whole equation in order to make the 4y to y.
y= -3-6/4x
and to simply
y= -1.5x-3
or y= -3/2x-3
Help plzz
How does robby respond to keith confessing his fear of chickens
The way that Robby responds to Keith confessing his fear of Chickens is; by sharing that makes robby uneasy.
What is the message in the text?From the given text, we see that an aggressive chicken charged towards keith which made him scared that he ran to the gate.
Now, Robby noticed what happened and ran to keith but because he knew he was scared and wasn't easily going to open up his fears to him, he shared with him how he too can't swim in ponds as they make him nervous. He did that to show Keith that everyone has one fear or the other so that he does't feel bad.
Thus, we can say that the way that robby respond to keith confessing his fear of chickens is by sharing with him that also makes him uneasy.
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Help me please!! This is timed and I’m stuck
Answer:
B 13/2
Step-by-step explanation:
2x² + 7x - 15 = 0
First we want to find the two solutions
We can do this by using the quadratic formula
Quadratic formula:
[tex] \frac{- b + or - \sqrt{b {}^{2} - 4(a)(c)} }{2(a)} [/tex]
Where the values of a,b and c are derived from the equation.
The equation is put in ax² + bx + c = 0 form
2x² + 7x - 15 = 0
so a = 2, b = 7 and c = - 15
We now plug these values into the quadratic formula
(-(7) + or - √7² - 4(2)(-15) ) / 2(2)
first solution: -(7) + √7² - 4(2)(-15) ) / 2(2)
remove parenthesis on 7
(-7 + √7² - 4(2)(-15) ) /2(2)
Apply exponents 7²
(-7 + √49 - 4(2)(-15) ) /2(2)
Multiply -4,2 and -15
(-7 + √49 + 120 ) / 2(2)
add 49 and 120
(-7 + √ 169 ) / 2(2)
Take square root of 169
(-7 + 13 ) / 2(2)
add 13 and -7
6/2(2)
multiply 2 and 2
= 6/4
The first solution is 6/4 or 1.5
Now the second solution: -(7) - √7² - 4(2)(-15) ) / 2(2)
For the second solution we basically go through the same steps as for finding the first solution, the only difference is instead of adding -b and √b² - 4(a)(c) we are subtracting.
So we would have ( -7 - 13 ) / 2(2) instead of (-7+13)/2(2)
So second solution: ( -7 - 13 ) / 2(2)
subtract 13 from -7
-20/2(2)
multiply 2 and 2
-20/4
divide
The second solution is -5
Now that we have found the solutions we want to find r - s if r and s are the solutions to the equation and that r > s
The two solutions are 6/4 and -5.
6/4 > -5 so we know that r must equal 6/4 and s must equal -5 because r has to be greater than s
So if r = 6/4 and s = -5
Then r - s = 6/4 - (-5) = 6/4 + 5 = 13/2
So the answer is B. 13/2
21. Paul has $900 to invest in a savings account that has an annual interest rate of 1.8%, and a money market account that pays 4.2% per year. Write a polynomial for the interest he will earn in one year if he invests x dollars in the savings account.
The polynomial that gives the interest earned after a year will have variables, exponents and constants that are joined by operators.
The interest earned after one year is 0.018·xReasons:
The amount Paul has to invest = $900
The annual interest rate from the savings account = 1.8%
The amount the money market account pays per year = 4.2 %
Required: The polynomial for the interest Paul earned by investing x dollars in the savings account.
Solution:
The interest earned is found using the compound interest formula as follows;
[tex]\displaystyle A = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t}}[/tex]
Where;
A = The amount in the account after one year
P = The original amount invested = x
r = The interest rate offered on the investment = 1.8% = 0.018
t = The time of the investment = 1 year
n = The number of times of application of the interest per period = Once per year
Which gives;
Interest = Amount earned = A - P
Therefore;
[tex]\displaystyle Interest, \ I = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t} - P}[/tex]
Plugging in the values gives;
[tex]\displaystyle I = x \cdot \left(1 + \frac{0.018}{1} \right)^{1 \times 1} - x = x \cdot 1.018^1 - x = 1.018 \cdot x - x = 0.018 \cdot x[/tex]
The polynomial equation is therefore;
Interest, I = 0.018·x
Using the simple interest formula, we have;
[tex]\displaystyle Interest = \mathbf{\frac{P \times r \times t}{100}}[/tex]
Which gives;
[tex]\displaystyle Interest = \frac{x \times 1.8 \times 1}{100} = 0.018 \cdot x[/tex]
Interest earned by investing in the savings account for one year, I = 0.018·x
The polynomial representing the interest earned is I = 0.018·xLearn more here:
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plss help i'll give 80 points!! no links please
Answer:
domain [-1, ∞)
range [ -3, ∞)
Step-by-step explanation:
Brainliest?
if a pool is 20,000 gallons and when the hose is placed in the pool to start filling up there are already 5000 gallons in there. The pool is filling up at a 1250 gallons per hour rating. how long would it take to fill up?
Answer:
12 hours
Step-by-step explanation:
What is the surface area of the cylinder with height 8 km and radius 4 km? Round
your answer to the nearest thousandth.
The solution is: the surface area of the cylinder is 301.44 km².
Here, we have,
from the given diagram, we get,
For surface area of a cylinder:
A = 2(π) × (radius) × (height) + 2(π)×(radius squared)
For the first half of that equation:
2(π) × (radius) × (height)
2 × (3.14) × (4) × (8)
= 200.96 km²
Now the second half of that equation, the area of the circle ends:
2(π)×(radius squared)
= 2 × (3.14) × (4) × (4)
= 100.48 km²
Add them up:
200.96 km² + 100.48 km² = 301.44 km²
Hence, The solution is: the surface area of the cylinder is 301.44 km².
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a. Why does the provided equation support the fact that there is a horizontal asymptote of F(x) that is not
on the x-axis?
(ax-3)(x-2)divide2(x+3)(x-2)
Y=-2 is a horizontal asymptote
Applying limits, it is found that since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.
The function is given by:
[tex]F(x) = \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]
The horizontal asymptote is the limit of the function as x goes to infinity, hence:
[tex]y = \lim_{x \rigtharrow \infty} F(x) = \lim_{x \rigtharrow \infty} \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]
Considering only the terms with the highest exponents:
[tex]y = \lim_{x \rigtharrow \infty} \frac{ax^2}{2x^2} = \frac{a}{2}[/tex]
Since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.
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7. Your class wants to raise more than $350 for the Freshman party and you choose to sell candy and cookies to accomplish this task. You earn $6 on
each basket of candy, b, and $3 on each box of cookies, c, that you sell.
a Write a linear inequality that represents this situation
3b + 6c > 350
b. If the number of box of cookies sold is 78, at least how many baskets of candy will you need to sell to reach your goal?
Answer:
20
Step-by-step explanation:
first, find out how much money you already made:
78 x 3 = 234
then, find out how much more you need to make:
350-234=116
divide the price of candy baskets by the amount of money left y out need to make:
116/6=19.3
round becauee you can’t sell .3 of a basket
19.3 rounds to 20
Find the area of this semi-circle with radius, r = 92cm. Give your answer rounded to 1 DP. rcm The diagram is not drawn to scale.
Answer:
142cm
Step-by-step explanation:
give me brainlylee plz
The area of the circle semicircle will be 13288.28 square centimeters.
What is the area of a circle?Suppose the circle has a radius of 'r' units, then, its area is given as:
A = πr² square unit
The radius of the semicircle is 92 cm.
The area of the semicircle is half of the area of the circle.
Then the area of the circle semicircle will be
A = π x 92² / 2
A = π x 8464/ 2
A = 4232 x 3.14
A = 13288.48 square cm
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what’s the system for 5x+21y=103 and -5x+23y=29
A carpet measures 7 meters 3 decimeters in length and 4 meters 2 decimeters in width. What is its area in square meters?
Answer:
C
Step-by-step explanation:
change decimetres into metres
length - 7.3m
Width - 4.2m
to find an area, do length times width
7.3 x 4.2 = 30.66 square metres
I hope this helped :)
Answer:
C. 30.66 square meters
Step-by-step explanation:
The equation for area is A = L × W
L = length
W = width
Because a demimeter is 1 tenth of a meter your new measurements are 7.3 and 4.2.
multiply the measurements to find the area of 30.66² meters
Rahul earns 21,000 in 7 months.
a) How much does he earn in 12 months!
b) In how many months will he earn *33,000?
Answer:
a _ 12×21000/7 = 36000
b _ 33 × 7 / 21000= 11 months
