Answer:
[tex](x-7)^2+(y-3)^2=7^2[/tex]
Step-by-step explanation:
[tex](x-h)^{2}+(y-k)^{2}=r^{2}\\[/tex]
Thus,
[tex](x-7)^2+(y-3)^2=7^2[/tex]
x and x+1 are the two continuous natural numbers, then (i) Write the next two natural numbers. (ii) Find the product of first and the fourth number. (iii) Find the product of second and the third number. (iv) Find the relation between these products.
Answer:
(i) X+2 and x+3;
(ii) x( x+4)= X^2 +4x;
(iii) x( x+4)=a
(x+1)(x+3)= a+3
Step-by-step explanation:
(i) X+2 and x+3;
(ii) x( x+4)= X^2 +4x;
(iii) (x+1)(x+3)=x^2+3X+X+3=x^2+4x+3;
x(x+4)=a
(x+1)(x+3)= a+3
Step-by-step explanation:
x is followed by x+1 so each time we add one
our sequence goes like this:
xx+1 x+1+1⇒ x+2 x+2+1⇒x+3the first number is x and the fourth one is x+3
x*(x+3) x²+3xthe second number is x+1 and the third one is x+2
(x+1)(x+2)x²+2x+x+2 x²+3x+2the first product is x²+3x and the second one is x²+3x+2
Let P be x²+3x and P' be x²+3x+2
P'-P = 2P' = P+2(Mathematics Question)
House Insurance 50 per $100
Contents Insurance 25 per $100
The above shows the rates charged by an insurance company. How much will a person pay for his insurance, if his house is valued at $50,000, and the content at $10,000?
(A) $225
(B) $275
(C) $450
(D) $500
Answer: B.) $275
Step-by-step explanation:
Rates charged by insurance company :
House Insurance 50 per $100
Contents Insurance 25 per $100
Value of House = $50,000
Insurance Fee:
$50,000 / $100 = 500
500, 50 cent payment,
50 cent × 500 = 25000 cent
Value of content = $10,000
Insurance Fee:
$10,000 / $100 = 100
100, 25 cent payment
25 cent × 100 = 2500 cent
Total insurance fee:
(25000 + 2500) cent
= 27500 cent
27,500 cent / 100
= $275
please hellppp please someone help me fast
area and volume of cylinder 25 points ****
Answer:
Surface Area: 150.796
Volume: 141.372
Step-by-step explanation:
Cylinder Surface Area: 2Πrh+2Πr^2
r=3
h=5
2Π15+2Π9=30Π+18Π=48Π=150.796
Volume: Πr^2h
Π45=141.372
Hope this helps! BRAINLIEST would really help me:)
Answer:
150.8 units²
141.37 units³
Step-by-step explanation:
Surface area of cylinder:
[tex]2 \pi r^2+2 \pi rh[/tex]
[tex]r=3\\h=5[/tex]
[tex]2 \pi (3)^2+2 \pi (3)(5)[/tex]
[tex]18\pi +30\pi[/tex]
[tex]=150.8[/tex]
Volume of the cylinder:
[tex]\pi r^2 h[/tex]
[tex]r=3\\h=5[/tex]
[tex]\pi (3)^2 (5)[/tex]
[tex]45\pi[/tex]
[tex]=141.37[/tex]
50. At a booth at the school carnival in past years, they've found that 32% of students win a stuffed toy ($3.25), 10% of students win a jumprope ($1.70), and 8% of students win a t-shirt ($7.80). The remaining students do not win a prize. If 200 students play the game at the booth, how much money should the carnival committee expect to pay for prizes for that booth
Answer:
The expected amount to be paid by the carnival committee for prices would be $366.80
Step-by-step explanation:
Hello!
Here, we want to calculate the amount of money the carnival committee is expected to pay for the prizes for that booth
From the question, we have 3 categories of prices to be won
To calculate for people that won’t win anything , we simply subtract the percentages of all from 100
That would be 100-32-10-8 = 100-50 = 50%
So now let’s calculate the number of people out of 200 that will win each category based on the percentages
For stuffed toy
32/100 * 200 = 64
Jump rope
10/100 * 200 = 20
For t-shirt
8/100 * 200 = 16
So total price paid for stuffed toy= 3.25 * 64 = $208
For jump rope, we have 1.7 * 20 = $34
For t-shirt , we hav 16 * 7.8 = $124.8
So the total value spent on prices by the committee would be;
124.8 + 34 + 208 = $366.80
Randi earned a profit of $60.00 on her last snow shoveling and
salting job. Write an equation that can be solved to find how
many hours Randi spent shoveling and salting to earn a profit of
$60.00.
Write your answer in the form of an algebraic equation using the
math editor. You do not have to solve the equation, but you will
need to use your equation to complete the next test question.
Answer:
$60.00=Y× X
Step-by-step explanation:
You know she makes $60 but you need to figure out how many hours she works and how much an hour she makes working.
which binomial is the additive inverse of 5 + 2C
Answer:
-5-2c
Step-by-step explanation:
The additive inverse of a term must be the opposite of it.
●-(5+2c)
●-5-2c
Answer:
Step-by-step explanation:
The additive inverse is just the opposite of the binomial in terms of the signs. The additive inverse of 5 + 2C is -(5 + 2C) which is, without parenthesis, -5 - 2C.
Select the correct answer.
A system of linear equations is given by the graph.
-5
5
What is the system shown?
O A y = 2
y=-3 - 5
y=it - 5
y = - = - 5
D. y = - =
5
Answer:
b
Step-by-step explanation:
rise over run
Answer: b
Step-by-step explanation:
a:b=7.2
How many times larger is a than b?
Does anyone understand this?
PLEASE HELP ASAP
Answer:
3.5 times as large
Step-by-step explanation:
The ratio can be written using a colon or a fraction bar. In the latter case, simplifying the fraction gives you your answer:
a : b = 7 : 2 = 7/2
'a' is 7/2 = 3.5 times as large as 'b'
HIIIIII 2 QUESTIONS IN THE 2 PICS HELP PLS
Answer:
(1)C- Trapezoid
(2)D-20 square feet
Step-by-step explanation:
Question 1
A cross-section of a rectangular pyramid cut perpendicular to the base but not passing through the top will have two parallel sides where one of the sides will be longer. Therefore, the shape which describes the cross-section will be a trapezoid.
Question 2
The base of the Triangle = 5 feet
Height of the Triangle = 8 feet
[tex]\text{Area of a triangle}=\dfrac12 \times $Base \times Height\\=\dfrac12 \times 5 \times 8\\=20 ft^2[/tex]
Please help find these angle for me plz!
Answer:
<DEF = 40°<EBF = <EDF = 56°<DCF = <DEF =40°<CAB = 84°Step-by-step explanation:
In triangle DEF, we have:
Given:
<EDF=56°
<EFD=84°
So, <DEF =180° - 56° - 84° =40° (sum of triangle angles is 180°)
____________
DE is a midsegment of triangle ACB
( since CD=DA(given)=>D is midpoint of [CD]
and BE = EA => E midpoint of [BA] )
According to midsegment Theorem,
. (DE) // (CB) "//"means parallel
. DE = CB/2 = FB =CF
___________
DEBF is a parm /parallelogram.
Proof: (DE) // (FB) [(DE) // (CB)]
AND DE = FB
Then, <EBF = <EDF = 56°
___________
DEFC is parm.
Proof: (DE) // (CF) [(DE) // (CB)]
And DE = CF
Therefore, <DCF = <DEF =40°
___________
In triangle ACB, we have:
<CAB =180 - <ACB - <ABC =180° - 40° - 56° =84° (sum of triangle angles is 180°)
[tex]HOPE \: THIS \: HELPS.. GOOD \: LUCK![/tex]
Given the graphed function below, which of the following ordered pairs are found on the inverse function?
It's (8,-2), (5,-1), (2,0), (-1,1), (-4,2). Just took it and suffered the fate of the wrong answer.
Answer:
C
Step-by-step explanation:
Ans ASAP.. In pic with steps.. Plz tysm 1rst one BRAINLIEST
Answer:
The expression for the shaded region is 10x² + 12x .
Step-by-step explanation:
First, you have to find the area of both rectangles using the formula :
[tex]area = length \times height[/tex]
Small rectangle,
[tex]area = x \times (5x - 2)[/tex]
[tex]area = 5 {x}^{2} - 2x[/tex]
Large rectangle,
[tex]area = (3x + 2) \times 5x[/tex]
[tex]area = 15 {x}^{2} + 10x[/tex]
In order to find the shaded region, you have to subtract the smaller from the larger one :
[tex]area \: of \: shaded = large - small[/tex]
[tex]area = 15 {x}^{2} + 10x - 5 {x}^{2} + 2x [/tex]
[tex]area = 10 {x}^{2} + 12x[/tex]
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
20x-8 ...last option
Step-by-step explanation:
Please answer the question in the image below ASAP
Answer:
Option A.
Step-by-step explanation:
See attachment.
Basically, the reason why I left it at cm(3) was because that's the standard unit for volume, any length of measurement to the third power.
Simplify.
B2 x b6=??
Answer:
b^8
Step-by-step explanation:
When multiplying exponents with the same base, we can add the exponents
b^2 * b^6
b^ (2+6)
b^8
Answer:b8 x
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "b6" was replaced by "b^6". 1 more similar replacement(s).
STEP
1
:
Multiplying exponential expressions
1.1 b2 multiplied by b6 = b(2 + 6) = b8
Final result :
b8x
Question 4 of 10
Multiple Choice: Please select the best answer and click "submit."
What is the length of the altitude of the equilateral triangle below?
30°
6
09
a
60° 90°
3
60°
3
O A. 1
OB. 6
O C. 313
OD. 3
O E. 6.13
O F. 27
Answer:
Option C. 3√3
Step-by-step explanation:
Please see attached photo for brief explanation.
In the attached photo, we obtained the following:
Opposite = a
Adjacent = 3
Hypothenus = 6
Angle θ = 60°
We can obtain the value of 'a' as follow:
Tan θ = Opposite /Adjacent
Tan 60° = a/3
Cross multiply
a = 3 x Tan 60°
But: Tan 60° = √3
a = 3 x Tan 60°
a = 3 x √3
a = 3√3
Therefore, the length of the altitude of the equilateral triangle is 3√3.
Your total monthly bill (T) from the Electric and Gas Company depends on how much electricity and how much gas you use each month. For every kilowatt hour of electricity (k) you use, you are charged $0.25 and for each therm (t) of gas used you are charged $0.97
The correct answer is A. T = 0.25k + 0.97t
Explanation:
For an equation to be correct it needs to include all important values and use the appropriate mathematical symbols to show how the values relate. In the case presented, it is known the total bill (T) is the result of both the electricity (k) and gas (t) consumed. According to this, the two values need to be added to find the total (T). This means T = k + t.
Besides this, it is specified a kilowatt or unit of electricity costs $0.25, this means the correct expression for finding the total paid for electricity is 0.25k as the number of kilowatts consumed need to be multiplied by the cost of a kilowatt. Similarly, the cost of the gas requires multiplying the number of therms by the cost of one therm, which is $097. According to this, the correct equation is T = 0.25k + 0.97t
Find the output, y, when the input, x, is 666.
Answer:
y = 8
Step-by-step explanation:
The question is simply asking for the y-value when x = 6. We look at the graph when x = 6 and see what y-value it gives us. We find that when x = 6, we have y = 8.
Point K is rotated 90°. The coordinate of the pre-image point K was (2, –6) and its image K’ is at the coordinate (−6, −2). Find the direction of the rotation. The direction of rotation was .
Answer:
Hello! The answer to your question will be below.
Step-by-step explanation:
The answer would be clockwise.
So point k was rotated 90 degrees clockwise.....
Review.....
Question:
Point K is rotated 90 degrees. The coordinate of the pre-image point K was (2,-6) and it’s image K’ is at the coordinate (-6,-2).Find the direction of the rotation.
THE DIRECTION OF THE ROTATION WAS CLOCKWISE.
Hope this helps! :)
⭐️Have a wonderful day!⭐️
Answer:
clockwise.
So point k was rotated 90 degrees clockwise.....
Review.....
Question:
Point K is rotated 90 degrees. The coordinate of the pre-image point K was (2,-6) and it’s image K’ is at the coordinate (-6,-2).Find the direction of the rotation.
Step-by-step explanation:
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
The logarithmic parent function is the only one with negative numbers in the range
Step-by-step explanation:
Hello,
These functions have been very well known, I remind you their graphs below
The logarithmic parent function is the only one with negative numbers in the range
range for square root is [tex]\mathbb{R^{+}}[/tex]
range for logarithmic is [tex]\mathbb{R}[/tex]
range for exponential is [tex]\mathbb{R^{+}}[/tex]
THAT S TRUE
The square root and logarithmic parent functions have the same domain
domain for square root is [tex]\mathbb{R^{+}}[/tex]
domain for logarithmic is [tex]\mathbb{R}[/tex]
THAT S WRONG
The square root parent function domain is the most restricted
domain for square root is [tex]\mathbb{R^{+}}[/tex]
domain for exponential is [tex]\mathbb{R^{+}}[/tex]
THAT S WRONG
All three parent functions have the same domain
domain for square root is [tex]\mathbb{R^{+}}[/tex]
domain for exponential is [tex]\mathbb{R^{+}}[/tex]
domain for logarithmic is [tex]\mathbb{R}[/tex]
THAT S WRONG
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Now, you will use the inverse trig function to solve. Round to the nearest whole number. x= ∘ What trig function would we use to set up our trig function to solve for y?
Answer:
1. Cosine
2. x = 49°
3. Sine
4. y = 41°
Step-by-step explanation:
1. The trig function that will be used to solve for x is cosine.
2. Determination of angle x
x° =..?
Adjacent = 13
Hypothenus = 20
Cos x = Adjacent /Hypothenus
Cos x = 13/20
Take the inverse of Cos
x = Cos¯¹ (13/20)
x = 49°
3. The trig function that will be used to solve for y is sine.
4. Determination of angle y.
y° =..?
Opposite = 13
Hypothenus = 20
Sine y = Opposite /Hypothenus
Sine y = 13/20
Take the inverse of Sine
y = Sine¯¹ (13/20)
y = 41°
If 2x = 60, find the value of 6 - 7x
Answer:
- 204
Step-by-step explanation:
2x = 60
x = 30
6 - 7(30) = -204
Answer:
-204
Step-by-step explanation:
Step 1- Solve for the value of x
2x = 60
Divide 60 by 2 so x is by its self
x = 30
Step 2- Plug in 30 for x in the second equation
6 - 7(30)
6 - 210
-204 is the answer
Please help im stuck
factor 16x to the 5th power subtract x to the third power
Answer:
X ^3 (4x+1) (4x-1)
Step-by-step explanation:
Factor x3 out of 16x5−x3
Rewrite 16x2 as (4x)2
Rewrite 1 as 1^2
Factor
x^3 (4x+1) (4x-1)
I hope I helped
Run A Regression Analysis Job Evaluation Weighted Points Avg. $ X Y Dealer 120 19944.44 Shark 145 29458.33 Laborer 175 34000 Banker 215 56875 Consultant 245 62900 Completion of:
Task A: Conduct a simple regression in Excel to create a market pay line by entering the job evaluation points (on the X axis) and the respective weighted average market base pay (on the Y axis) for each benchmark job. Completion of
Task B: What is your R squared (variance explained)? Is it sufficient to proceed? Completion of
Task C: Calculate the predicted base pay for each benchmark job. Completion of
Task D: Because your company wants to lead in base pay by 3 percent, adjust the predicted pay rates to determine the base pay rate you will offer for each benchmark job. Completion of
Task E:
Task H: Create pay grades by combining any benchmark jobs that are substantially comparable for pay purposes. Clearly label your pay grades and explain why you combined any benchmark jobs to form a grade Completion of
Task F: Use your answer to Task H to determine the pay range (i.e., minimum and maximum) for each pay grade. Completion of
Task G: Given the pay structure you have generated, consider the following: Does this pay structure make good business sense?
Do you think it is consistent with the organization’s business strategy? What are the implications of this pay structure for other HR systems, such as retention and recruiting
Answer:
task b
Step-by-step explanation:
Josephine is going on a run around the lake. She knows the distance around the lake, but she would like to complete her run
in a certain amount of time. Josephine knows she can used the formula d = rt.
Which equation correctly rearranges the formula to find the time it will take her to run around the lake?
A. T= d/r
B. T= r/d
C. T=d + r
D. T=d-r
Hey there! I'm happy to help!
We want to see which of the formulas is a correct rearrangement of d=rt. To figure this out, we will solve each of our answer options for d. If d is equal to rt, then that option is the correct rearrangement.
OPTION A
t=d/r
We flip the equation around so d is on the left side.
d/r=t
We multiply both sides by r.
d=tr
Using the associative property, we see that d=tr is the same thing as d=rt.
We immediately see that this is the correct option. Therefore, the answer is A. T=d/r.
From the original d=rt, equation, we see that they solved for t by dividing both sides by r, giving you t=d/r.
Have a wonderful day! :D
please halp quickly i will give brainliest
Step-by-step explanation:
cross multiply to get 3x:= 10( -5/2)
3x=-25
x=25/3
x=8 rem 1
8.33
Felicia had $80 when she went to a music store that charges $18 for each CD. She needs to have no less than $20 in her wallet when she leaves the store so she has enough money to buy gas for the ride home. Which shows a possible number of CDs she could buy? Select three options. 1 2 3 4 5
Answer:
The amount of CD's she could buy would be 3.
Step-by-step explanation:
80-20=60
60÷18 = 3 CD's
Answer:
1,2,3
Step-by-step explanation:
what is the product number of 88 and 26?
Answer:
2288
Step-by-step explanation: